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annotate texts/archimedesOldCVSRepository/archimedes/raw/schot_mecha_01_la_1557.raw @ 10:d7b79f6537bb

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Version vom 2009-02-14
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Thu, 02 May 2013 11:08:12 +0200
parents 22d6a63640c6
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1 <pb>
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2 <C><I>A. R.</I></C>
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3 <C>P. GASPARIS
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4 SCHOTTI</C>
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5 <C>SOCIETATIS JESU</C>
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6 <C>MECHANICA
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7 HIDRAULICO - PNEVMATICA</C>
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8 <C>Cum</C>
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9 <C>FIGURIS &AElig;N&Ecirc;IS, ET PRIVILEGIO SACR&AElig;</C>
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10 <C>Ce$ar&aelig; Maje$tatis.</C>
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11 <C><I>ANNO M DC LVIII.</I></C>
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12 <pb>
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13 <FIG>
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14 <CAP>MECHANICA
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15 HYDRAVLICOPNEVMATICA</CAP>
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16 <CAP>Ad Emine nli$s: S.R.I. Principem
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17 Ioannem Philippum
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18 Electorem Mogunt:
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19 Auctore.</CAP>
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20 <CAP>P. GASPARE SCHOTTO.</CAP>
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21 <CAP>Socilesu</CAP>
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22 <pb>
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23 <C>P. GASPARIS SCHOTTI</C>
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24 <C>REGISCURIANI, E SOCIE-
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25 TATE JESU,</C>
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26 <C>Olim in Panormitana Sicili&aelig;, nunc in Herbipo-
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27 litana Franconi&aelig; eju$dem SOCIETATIS Academia
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28 Mathe$eos Profe$$oris,</C>
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29 <C>MECHANICA
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30 HYDRAULICO-PNEV-
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31 MATICA,</C>
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32 <C>Qua
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33 <I>Pr&aelig;terqu&agrave;m qu&ograve;d Aquei elementi natura, proprietas, vis
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34 motrix, atque occultus cum a&euml;re conflictus, &agrave; primis fundamentis de-
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35 mon$tratur; omnis quoque generis Experimenta Hydraulico-pnevmatica
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36 recluduntur; &amp; ab$oluta Machinarum aqu&acirc; &amp; aere animandarum ratio
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37 ac methodus pr&aelig;$cribitur.</I></C>
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38 <C>OPUS BIPARTITUM,</C>
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39 <C><I>Cujus</I></C>
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40 <p>Pars I. Mechanic&aelig; Hydraulico-pnevmatic&aelig; Theoriam continet.
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41 <p>Pars II. Eju$dem Praxin exhibet, Machinasque Aquarias innumeras, uti &amp; Organa, ali-
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42 aque In$trumenta, in motum ac $onum concitat; nec non varia techna$inata,
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43 qu&aelig; motum perpetuum vi aqu&aelig; $pondent, exponit.
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44 <C>ACCESSIT</C>
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45 <C><I>Experimentum novum Magdeburgicum, quo vacuum alij $ta-
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46 bilire, alij evertere conan<*>r.</I></C>
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47 <C>Sumptu Heredum JOANNIS GODEFRIDI Sch&ocirc;n wetteri,</C>
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48 <C>Bibliopol: Francofurten$.</C>
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49 <C><I>Excudebat</I> HENRICUS PIGRIN <I>Typographus Herbipoli,</I>
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50 ANNO M. DC. LVII.</C>
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51 <pb>
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52 <FIG>
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53 <pb>
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54 <C>DEDICATIO.</C>
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55 <FIG>
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56 <C><I>Eminenti$$imo, &amp; Reverendi$$imo Principi
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57 ac Domino,</I></C>
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58 <C>D. JOANNI
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59 PHILIPPO,</C>
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60 <C>SACR&AElig; SEDIS MOGUNTIN&AElig;</C>
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61 <C>Archiepi$copo, S. Rom. Imp. per Germani-
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62 am Archi-Cancellario, &amp; Principi Electori; Epi$copo
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63 Herbipolen$i, Franci&aelig; Orientalis Duci,
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64 Domino meo clementi$$imo.</C>
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65 <p>EMINENTISSIME PRIN-
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66 CEPS. Fontes quos Natura
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67 producit ad hominum utilitatem,
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68 <I>Mare</I> petunt, ut fluant. <I>Omnia quippe
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69 flumina,</I> ac proinde &amp; fontes flumi-
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70 <pb>
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71 num origines, <I>intrant in Mare, &amp; Mare non
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72 redundat; ad locum, unde exeunt flumina, revertun-
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73 tur, vt iterum fluant.</I> Fontes quos hoc
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74 in Opere produco ex Hydrotech-
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75 nica Arte ad Principum delecta-
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76 tionem, ut $aliant, FONTEM petunt
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77 PULCHRUM, Te inquam, EMI-
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78 NENTISSIME DOMINE, Tuumq;
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79 favorem ac benevolentiam. Ni$i
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80 enim ope Tua, qui FONS es PUL-
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81 CHERRIMUS, foveantur, &amp;
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82 Tua augeantur ditenturque co-
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83 pia; exare$cant nece$$e e$t, ma-
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84 gno licet labore, nec minori
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85 Arte, in fluxum ac $altum &agrave;me
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86 animati. Pateat igitur Fontibus
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87 <pb>
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88 meis FONS PULCHER; deriv&etilde;tur
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89 in eos Humanitatis Tu&aelig; aqu&aelig;, ut
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90 gloriari liceat, ac dicere: FONS
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91 PULCHER SUFFICIT UNDAS.
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92 Dixi quod volebain, &amp; h&icirc;c finio,
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93 n&egrave; peccare cogar peccatum quo
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94 Scriptorum plerique reos $e con-
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95 $tituunt, dum in Mec&aelig;natum
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96 $uorum laudes ip$o in Librorum
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97 ve$tibulo qu&agrave;m pro loci oppor-
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98 tunitate longi&ugrave;s excurrunt. Ma-
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99 jor e$t virtutum Tuarum $plen-
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100 dor, majora in Eccle$iam &amp; Im-
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101 perium Romanum merita, qu&agrave;m
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102 ut exili calamo meo, pr&aelig;$ertim
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103 hoc loco, exarentur.
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104 <pb>
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105 <p>Vale PRINCEPS EMINEN-
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106 TISSIME, Imperii columen,
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107 &amp; Eccle$i&aelig; decus; ae bono utrius-
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108 que qu&agrave;m diutis$im&egrave; vive. Ita
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109 optat Herbipoli Die VIII. Julij,
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110 Anno MDCL VII.
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111 <p>EMINENTISSIM&AElig;
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112 TU&AElig;
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113 <p>CELSITUDINIS
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114 <p><I>Humillimus Cliens</I>
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115 <p>Ca$parus Schott&egrave; So-
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116 cietate JESU.
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117 <pb>
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118 <C><I>IN FRONTEM LIBRI</I></C>
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119 <C>ACROAMA EXEGETICUM.</C>
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120 <C><I>FONS PULCHER SUFFICIT UNDAS.</I></C>
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121 <FIG>
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122 <C>Obmute$ce Antiquitas;
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123 Jam dudum exaruit lympha,
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124 Quam propinavit Pincerna vatum</C>
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125 <C>PEGASUS.</C>
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126 <C>Riget in$tar pumicis, qui Parna$$um irrigavit:
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127 Qui infantium etiam linguas fecerat di$ertas,
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128 Dudum, pr&ocirc; pudor, e$t de$ertus.
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129 Pone cri$tas Heliconis Nympha;</C>
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130 <C>HIPPOCRENE FUIT!</C>
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131 <C>Unde, aut ubi fluxerit olim, quis $ciat?
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132 Ca$talides ip$&aelig; nefciunt,
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133 Ex quo toties pot&aelig; cecinerunt.</C>
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134 <C>Et quid mirum Helicona nu$quam apparere,
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135 Si ip$a Gr&aelig;cia di$paruit, &amp; migravit
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136 In EUKOPAM reliquam;</C>
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137 <C>In qu&acirc; non unas numeres Athenas,
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138 Quando p&aelig;ne innumera vides Athen&aelig;a,
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139 Suo quodque formo$um Apolline,
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140 Suo quodque irriguum fonte,
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141 E quo bibunt $apientes Europ&aelig;i,
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142 Et entheantur.</C>
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143 <pb>
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144 <C>De Europa univer$a periculum facin $ola</C>
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145 <C>GERMANIA:</C>
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146 <C>De Germania ver&ograve; pronuncia,
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147 Si, qu&aelig; Rhenus, M&oelig;nusve alluit, invi$as</C>
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148 <C>ATHEN&AElig;A,
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149 MOGANUM ET ARTAUNIUM.</C>
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150 <C>Qu&aelig;, qual&eacute;sve ea incolant Mu$&aelig;,
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151 Di$ce ex latice, qui eas reficit.</C>
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152 <C>FONS</C>
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153 <C>Medio bullit &egrave; Nobilitatis Rhenan&aelig; jugo,
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154 Non $onipedis Pega$i extu$us ungul&acirc;;
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155 Sed jubati LEONIS effo$$us ungue,</C>
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156 <C>CALLOCRENE.</C>
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157 <C>Hoc uno amb&aelig; libant &amp; vivunt de fonte,
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158 C&aelig;lo divi$&aelig;, non zelo,</C>
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159 <C>MOGANIDES MUS&AElig; ET FRANCONIDES.</C>
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160 <C>His
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161 Seu $itim arentis gutturis levent,
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162 Seu barbita pulvere glorio$o $ordida lavent,
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163 Seu in carmina animent Vates,
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164 Seu fugientes Vatibus venas revocent,
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165 Seu in pr&ecedil;mia lauros &amp; palmas rigent,
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166 Seu fe$tiv&egrave; cum Nymphis ludant
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167 Apollinis honori,</C>
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168 <C>FONS PULCHER SUFFICIT UNDAS.</C>
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169 <C>Ver&ugrave;m quid Mu$as, Nymph&aacute;sque memoro?
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170 Ip$a ade&ograve; Natura hoc fonte haurit,
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171 Ut parturientem juvet Artem:</C>
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172 <pb>
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173 <C>Hinc Ars bibit, ut languentem fulciat Naturam,
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174 Experti di$cimus:
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175 Quod non $ola Natura audet.
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176 Nec Ars $ola pote$t,
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177 Et pote$t cum Arte Natura &amp; audet.
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178 Ver&ugrave;m deficerent, ni$i $ufficeret,</C>
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179 <C>FONS PULCHER</C>
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180 <C>Undas, Animos, Vires.
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181 Hoc manante animatur emortuus &AElig;olus,
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182 Et $pirat:</C>
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183 <C>Hoc $tillante lique$cunt, licet &aelig;re fu$&aelig;, Pha&euml;tontiades,
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184 Et lacrymantur:</C>
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185 <C>Hoc illabente alterni folles inflantur &amp; efflantur,
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186 Et organa re$onant:</C>
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187 <C>Hoc $aliente Deorum $imulacra irrorantur,
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188 Et tripudiant.</C>
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189 <C>Verbo,
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190 Paucis multa dicam:</C>
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191 <C>CRESCIT QUODCUNQUE RIGAT,
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192 VIGET QUODCUNQUE LAVAT,</C>
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193 <C>FONS PULCHER.</C>
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194 <C>Hinc e$t quod $tupent ob$tipi;
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195 Et &aelig;gr&egrave; vident Invidi,</C>
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196 <C>HOC FONTE,</C>
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197 <C>Virere lauros, Mus&aacute;sque vigere.</C>
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198 <pb>
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199 <C>FONS PULCHER.</C>
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200 <C>Feras cicurat, mon$tra domat:
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201 Hercule felicior!</C>
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202 <C>Qu&aelig; is exanimabat, hic animat;</C>
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203 <C>Qu&aelig; i$te clav&acirc; fregit, ille regit
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204 Suaviter influendo.</C>
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205 <C>Hoc $tratagemate,
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206 <I>Rotas Moganas</I> firmavit,
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207 Ut bene verterentur,
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208 Qu&aelig; &agrave; procellis, quia rapiebantur,
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209 P&aelig;ne evertebantur.</C>
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210 <C>Pluris $cilicet $&aelig;pe e$t e$$e humanum qu&agrave;m fortem,
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211 Ubi gloria e$t major,
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212 Vincere amoribus qu&agrave;m viribus.
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213 In fontibus reliquis eximium hoc habet</C>
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214 <C>FONS PULCHER,</C>
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215 <C>Qu&ograve;d non aquam $ol&ugrave;m fundat,
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216 Qu&acirc; $uam eff&aelig;ta reparet Juventam</C>
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217 <C>AQUILA;</C>
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218 <C>Sed &amp; oleum $tillet,
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219 Quo repullulantes pennas ad robur
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220 <I>Ungat.</I></C>
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221 <C>Nec <I>Aquil&aelig;</I> mod&ograve; hoc <I>Fonte</I> lot&aelig;
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222 <I>Juvene$cunt:</I></C>
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223 <C>Sed, quia cum Igne quid commune habet</C>
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224 <C>FONS PVLCHER,</C>
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225 <C>Hoc etiam in FONTE emortuus,</C>
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226 <pb>
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227 <C>Novo prodigio Novus
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228 <I>Revivi$cit</I></C>
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229 <C>PHOENIX.</C>
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230 <C>Unde infelici$$imorum temporum
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231 H&aelig;c una e$t felicitas,
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232 Quod mergantur in FONTE PULCHRO,
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233 In quo ni$i tota $ubmergantur,
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234 Nunquam emergent
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235 Feliciora.</C>
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236 <C>Et Gloria h&aelig;c $umma erit</C>
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237 <C>FONTIS PVLCHRI,</C>
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238 <C>In ea incidi$$e tempora,
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239 In qu&aelig; ni$i incidi$$et,
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240 Forent tempora omnino
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241 Profligata.</C>
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242 <C>De FONTE PULCHRO quid ampli&ugrave;s dicam?
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243 Fontes alij aut &aelig;$tu pro$pero ex$iccantur,
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244 Aut algore $ini$tro congelant,
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245 Ut fluxum $i$tant:</C>
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246 <C>FONS PVLCHER.</C>
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247 <C>FLUET DONEC INFLUAT
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248 IN FONTEM
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249 QUOCUM SALIET IN VITAM &AElig;TERNAM.</C>
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250 <C>Quod vovent &amp; precantur mecum</C>
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251 <C>OMNES BON&AElig; MUS&AElig;
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252 A FONTE PULCHRO
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253 LOT&AElig;, RIGAT&AElig;, POT&AElig;.</C>
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254 <p>P. NICOLAUS MOHR &egrave; Socie-
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255 tate JESU.
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256 <pb>
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257 <C><I>Facultas admodum R. P.</I></C>
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258 <C>PR&AElig;POSITI GENERALIS
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259 SOCIETATIS JESU.</C>
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260 <C>GOSWINUS
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261 NICKEL SOCIETA-
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262 TIS JESU</C>
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263 <C><I>PR&AElig;POSITUS GENERALIS.</I></C>
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264 <p><I>CUm Opus, quod in$cribitur</I> Mechanica
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265 Hydraulico-pnevmatica, &agrave; P. GASPARE
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266 SCHOTT <I>noftr&aelig; Societatis Sacerdote compo$i-
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267 tum, aliquot eju$dem Societatis Religio$i recognove-
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268 rint, &amp; in lucem edi po$$e probaverint; facultatem
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269 concedimus vt typis mandetur, $i ijs ad quos pertinet,
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270 ita videbitur. In cujus rei te$timonium has litteras
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271 manu no$tr&acirc; $ub$criptas, $igillo&queacute; no$tro munitas da-
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272 mus Rom&aelig;,</I> 23. <I>Januarij</I> 1655.
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273 <p>GOSWINUS NICKEL.
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274 <pb>
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275 <C><I>FACULTAS</I></C>
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276 <C>R. P. PROVINCIALIS
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277 SOCIETATIS IESV</C>
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278 <C>Per Rheni Superioris Provinciam Bi-
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279 bliopol&aelig; facta.</C>
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280 <p><I>CUm ex Mandato Sacr&aelig; C&aelig;$are&aelig; Maje$tatis omnibus
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281 &amp; $ingulis Typographis, Bibliopolis, ac aliis quamcun-
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282 que librariam negotiationem exercentibus, $eri&ograve; firmiterque in-
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283 hibeatur, n&egrave; qui$quam libros ullos</I> &agrave; SOCIETATIS <I>no$tr&aelig; Pa-
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284 tribus hactenus editos, aut impo$terum edendos intra S.R. Im-
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285 perij, Regnorum, &amp; Dominiorum Su&aelig; C&aelig;$are&aelig; Maje$tatis h&aelig;-
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286 reditariorum fines, $imili aliov&egrave; charactere aut form&acirc;, $ive in
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287 toto, $ive in parte recudere, vel ali&ograve; recudendos mittere, aut ali-
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288 bi etiam impre$$os adducere, vendere, &amp; di$trahere, cl&agrave;m $eu
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289 pal&agrave;m, citr&agrave; $upradictorum Patrum con$en$um ac te$timonium,
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290 audeat, vel pr&aelig;$umat: Ego</I> NITHARDUS BIBERUS,
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291 SOCIETATIS JESU <I>per Rheni $uperioris Provinciam Pro-
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292 vincialis, concedo</I> Joanni Godefrido Sch&ocirc;n wettero <I>fa-
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293 cultatem, $uis $umptibus excudendi</I> P. GASPARIS SCHOTTI
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294 &egrave; SOCIEIATE JESU Mechanicam Hydraulico-pnev-
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295 maticam. <I>In quorum fidem hoc ei te$timonium manu no$tr&acirc;
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296 $ub$criptum, &amp; Sigillo munitum dare voluimus. Herbipoli</I>
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297 21. <I>Fanuarij</I> 1656.
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298 <p>NITHARDUS BIBERUS.
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299 <p>L. S.
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300 <pb>
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301 <C>ELENCHUS</C>
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302 <FIG>
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303 <C>ELENCHUS TITU-
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304 LORUM,</C>
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305 <C><I>Sive
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306 SYNOPSIS OPERIS.</I></C>
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307 <p>Pr&aelig;loquium ad Lectorem, de Operis Occa$ione, Divi$ione, In$criptione; deque
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308 Hydraulicorum &amp; Pnevmaticorum Scriptoribus. pag. 1.
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309 <C>PARS I.</C>
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310 <C>THEORETICA.</C>
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311 <p>De Machinarum Hydraulico-Pnevmaticarum principiis $eu fundamentis. 15
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312 <C>PROTHEORIA I.</C>
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313 <p>De vi Attractiva corporum, ad vacuum vel replendum, vel fugiendum: $eu de
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314 primo Machinarum Hydro-pnevmaticarum principio. 18
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315 <p>&sect;. I. Hero Alexandrinus vacuum in a&euml;re &amp; aqua di$$eminatum agno$cit. 19
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316 <p>&sect;. II. Experimenta quibus Hero vacuum in corporibus di$$eminatum pro-
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317 bat. 21
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318 <p>&sect;. III. Experimenta quibus vacuum nullum e$$e probatur. 25
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319 <p>&sect;. IV. Vis attractiva ob vacui metum, primum Machinarum Hydro-pnevma-
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320 ticarum principium, qu&aelig;, &amp; qualis, quibusvis in$it corporibus. 28
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321 <p>&sect;. V. Experimentum, quo o$tenditur vis attractiva ad aquas in altum evchen-
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322 das, vacui vitandi caus&acirc;, per Machinas Hydro-pnevmaticas. 30
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323 <p>&sect;. VI. Notantur nonnulla circa pr&aelig;dictum Experimentum, $imulque $tabili-
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324 tur, in attractione aqu&aelig; metu vacui habendam e$$e rationem perpendiculi
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325 aquarum. 33
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326 <p>&sect;. VII. Heronis Alexandrini error in elevanda aqua vi attractiva. 36
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327 <p>&sect;. VIII. Alius Heronis error in elevanda aqua vi attractiva. 37
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328 <p>&sect;. IX. In aquarum elevatione vi attractiv&acirc;, habenda e$t ratio perpendiculi $ol&ugrave;m
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329 illorum tuborum, per quos aqua, non per quos a&euml;r vehitur. 39
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330 <pb>
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331 <C>TITULORUM.</C>
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332 <p>&sect;. X. Viattractiv&acirc; elevari pote$t aqua ultra perpendiculi altitudinem, a&euml;re me-
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333 diante. 40
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334 <C>PROTHEORIA II.</C>
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335 <p>De vi Expul$iva propter corporum impenetrabilitatem; $eu de $ecundo Machi-
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336 narum Hydro-pnevmaticarum principio. 43
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337 <p>&sect;. I. Omnia univer$i corpora $unt inter $e contigua. ibid.
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338 <p>&sect;. II. Corpora $e mutu&ograve; expellunt. 45
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339 <p>&sect;. III. Experimentum, quo o$tenditur vis expul$iva, propter corporum im-
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340 penetrabilitatem, ad aquas elevandas in altum. 46
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341 <p>&sect;. IV. Notantur nonnulla circa pr&aelig;dictum Experimentum. 48
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342 <p>&sect;. V. Heronis error in elevando oleo vi expul$iv&acirc; in lucerna. 50
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343 <p>&sect;. VI. Attractione &amp; expul$ione $imul aquam elevare po$$umus. 53
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344 <p>&sect;. VII. Salomon Caus merit&ograve; $ugillat Heronem. 55
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345 <p>&sect;. VIII. Idem perpendiculum aqu&aelig; cadentis non pote$t $ervire $imul attra-
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346 ctioni &amp; expul$ioni. 57
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347 <p>&sect;. IX. Error apud Joannem Bapti$tam Portam indicatur. 58
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348 <p>&sect;. X. Alia ratio aquam elevandi in altum propter corporum impenetrabili-
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349 tatem. 59
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350 <C>PROTHEORIA III.</C>
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351 <p>De vi Rarefactiva; $eu de tertio Hydro-pnevmaticarum Machinarum prin-
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352 cipio. 61
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353 <p>&sect;. I. Rarefactionis vis, &amp; effectus mirabilis. ibid.
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354 <p>&sect;. II. Alia rarefactionis exempla. 62
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355 <C>PROTHEORIA IV.</C>
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356 <p>De fluxu aqu&aelig; naturali; $eu de quarto Hydro-pnevmaticarum Machinarum
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357 principio. 64
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358 <p>CAPUT I. De Proprietatibus aqu&aelig; fluentis liber&egrave;. 65
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359 <p>PROPRIETAS
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360 <p>I. Aqua tendit ad loca decliviora. 67
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361 <p>II. Aqu&aelig; $uperficies $uperior, ce$$ante fluxu, $ph&aelig;rica e$t; reliqu&aelig; conforman-
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362 tur va$is &amp; receptaculis. ibid.
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363 <p>III. Aqua min&ugrave;s pre$$a expellitur &agrave; magis pre$$a. 68
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364 <p>IV. Aqu&aelig;, &amp; humidi cuiuscunque, pars unaqu&aelig;que premitur humido $upra
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365 ip$am exi$tente ad perpendiculum, $i humidum $it de$cendens in aliquo, aut
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366 abalio aliquo pre$$um. ibid.
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367 <p>V. Aqu&acirc; in $itu naturali con$i$tente, partes $uperiores non premunt inferio-
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368 res. 70
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369 <pb>
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370 <p>VI. Aqu&aelig; in $itu naturali po$it&aelig; una pars non expellit alteram. 71
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371 <p>VII. Non omnes &aelig;qu&aelig; &aelig;quales magnitudine, $unt &aelig;quales pondere. ibid.
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372 <p>VIII. Aqua naturaliter non a$cendit ad locum altiorem $u&acirc; origine. ibid.
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373 <p>CAPUT II. De Proprietatibus aqu&aelig; fluentis per $iphones. 72
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374 <p>PROPOSITIO
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375 <p>I. Siphonis varias divi$iones a$$ignare. ibid.
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376 <p>II. Siphonis erecti proprietates a$$ignare. 74
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377 <p>III. Siphonis inver$i proprietates a$$ignare. 77
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378 <p>IV. Siphonis mixti in&aelig;qualium crurium proprietates a$$ignare. 81
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379 <p>V. Siphonis mixti &aelig;qualium crurium proprietates a$$ignare. 84
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380 <p>VI. Inver$i $iphonis, va$i uno crure impo$ito, proprietates a$$ignare. ibid.
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381 <p>VII. Cau$am ad$ignare, cur quando o$culum externi cruris $iphonis inver$i e$t
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382 altius, aut &aelig;qu&egrave; altum ac aqu&aelig; $uperficies $uprema in va$e, aqua non fluat;
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383 quando ver&ograve; e$t demi$$ius, fluat. 88
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384 <p>VIII. Siphonem ad libram $eu vectem revocare, &amp; filtrum ad $iphonem. 93
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385 <p>IX. Diabetem $piritalem de$cribere, eiu$que proprietates ad$ignare. 94
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386 <p>X. Siphonis inver$i fluxum &aelig;qualem reddere. 96
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387 <p>XI. Siphone inver$o aquam ex uno montis latere in alterum, per verticem, de-
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388 ducere. 98
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389 <p>XII. Siphone inver$o aquam ex montis radice ad ejus verticem elevare. 102
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390 <p>XIII. Cau$am a$$ignare, cur in $iphone inver$o interrupto perpendiculum aqu&aelig;
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391 de$cendentis debeat $uperare perpendiculum aqu&aelig; a$cendentis. 104
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392 <p>XIV. Cau$am a$$ignare, cur in Fonte Heronis perpendiculum aqu&aelig; de$cen-
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393 dentis debeat e$$e longius perpendiculo aqu&aelig; a$cendentis. 107
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394 <p>CAPUT III. De Proprietatibus aqu&aelig; fluentis per tubos. 110
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395 <p>PROPOSITIO
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396 <p>I. Aqua decurrit per tubi verticalis foramen ba$is, in$tar column&aelig; aque&aelig;, cuius
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397 ba$is &aelig;qualis foramini, altitudo perpendiculares &agrave; ba$i erect&aelig;; $ive tubi $int
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398 $emper pleni, $ive non. 111
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399 <p>II. Per tubos <*>m $emper, qu&agrave;m non $emper plenos &aelig;qualis altitudinis, &amp; &aelig;qua-
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400 lium foraminum, effluit &aelig;qualis aqu&aelig; copia, eodem vel &aelig;quali tempore,
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401 cujuscunque capacitatis &amp; form&aelig; $int tubi. 113
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402 <p>III. Per tubos tam $emper, qu&agrave;m non $emper plenos &aelig;qualium luminum, $ed
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403 in&aelig;qualium altitudinum, effluit eodem, vel &aelig;quali tempore, in&aelig;qualis aqu&aelig;
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404 copia. 114
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405 <p>IV. Per tubos $emper, &amp; non $emper plenos in&aelig;qualium luminum, $ed &aelig;quali-
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406 um altitudinum, effluit eodem, vel &aelig;quali tempore, in&aelig;qualis aqu&aelig;
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407 copia. ibid.
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408 <pb>
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409 <p>V. Per tubos &aelig;qu&egrave; altos, &amp; &aelig;qualium luminum, non $emper plenos, fluit eodem
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410 tempore &aelig;qualis aqu&aelig; copia; $ed tant&ograve; fluit unus diuti&ugrave;s altero, quant&ograve;
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411 plus aqu&aelig; continet unus qu&agrave;m alter. 115
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412 <p>VI. Per tubos non $emper plenos, &amp; non &aelig;qu&egrave; altos, &aelig;qualium tamen lumi-
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413 num, eodem vel &aelig;quali tempore non fluit &aelig;qualis aqu&aelig; copia. ibid.
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414 <p>VII. Tubus altitudine quadrupedalis, cui pro ba$is diametro pedis Pari$ien$is
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415 uncia, aqu&acirc; $emper, plenus, effundit per lumen lineare in ba$i $itum, aqu&aelig;
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416 libram $patio tredecim minutorum $ecundorum temporis. 116
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417 <p>VIII. Aqu&aelig; fluentes ex tubis tam $emper qu&agrave;m non $emper plenis &aelig;qualium
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418 foraminum, $ed in&aelig;qualium altitudinum, habent rationem $ubduplicatam
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419 altitudinum tuborum; habentque dicti tubi duplicatam rationem aqua-
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420 rum, quas fundunt. 117
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421 <p>IX. Aqua naturali motu de$cendens &amp; effluens per tubos, imitatur leges alio-
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422 rum gravium naturali motu de$cendentium. 120
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423 <p>X. Velocitates motus aqu&aelig; de$cendentis &amp; effluentis per tubos &aelig;qualium fo-
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424 raminum, $ed in&aelig;qualium altitudinum, habent $ubduplicatam rationem
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425 altitudinum. 125
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426 <p>XI. Cau$am a$$ignare, cur aqu&aelig; fluentes per tubos &aelig;qualium luminum, $ed in-
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427 &aelig;qualium altitudinum, habeant rationem $ubduplicatam altitudinum tu-
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428 borum. 126
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429 <p>XII. Tempora quibus &aelig;qualis aqu&aelig; quantitas &egrave; tubis &aelig;qualium luminum, $ed
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430 in&aelig;qualium altitudinum effluit, habent $ubduplicatam rationem tubo-
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431 rum. ibid.
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432 <p>XIII. Si tubi, $ive $emper pleni, $ive non $emper pleni, $int ejusdem altitudinis,
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433 $ed in&aelig;qualium foraminum, e$t <*>dem ratio aqu&aelig; ad aquam, qu&aelig; foraminis
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434 ad foramen, phy$ic&egrave; $eu ad $en$um. 127
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435 <p>XIV. Tubi non $emper pleni &aelig;qu&egrave; alti, &amp; &aelig;qualium foraminum; $ed in&aelig;quali-
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436 um ba$ium, evacuantur in&aelig;qualibus temporibus, e$tque eadem ratio tem-
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437 porum, qu&aelig; ba$ium. 129
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438 <p>XV. Tempora quibus deplentur tubi non $emper pleni, &aelig;qu&egrave;lati, $ed non &aelig;qu&egrave;
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439 alti, per &aelig;qualia foramina, $unt in altitudinum ratione $ubduplicata. 131
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440 <p>XVI. Tempora quibus evacuantur tubi non $emper pleni $imiles, &amp; &aelig;quales
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441 quoad altitudines &amp; ba$es, per lumina $imilia in&aelig;qualia, $unt reciproc&egrave;, ut
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442 lumina. ibid.
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443 <p>XVII. Datis altitudine &amp; foramine tubi $emper pleni, invenire quantitatem
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444 aqu&aelig; quam dato tempore effundat; vel, datis iisdem, invenire magnitudi-
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445 nem ci$tern&aelig; qu&aelig; dato tempore repleatur. 132
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446 <pb>
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447 <p>XVIII. Datis altitudine &amp; lumine tubi $emper pleni, invenire tempus quo da-
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448 tam aqu&aelig; quantitatem effundat, $ive quo datam ci$ternam impleat. 135
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449 <p>XIX. Datis tempore, quantitate aqu&aelig;, $eu ci$terna, &amp; lumine tubi, invenire alti-
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450 t&udot;dinem tubi, qui $emper plenus ci$ternam dato tempore repleat. 136
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451 <p>XX. Dato va$e, &amp; foramine per quod effluit aqua, invenire tempus quo eva-
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452 cuatur. 137
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453 <p>XXI. Dato va$e, &amp; tempore, invenire foramen per quod evacuetur tempore
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454 dato. 139
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455 <p>XXII. Altitudinem $caturiginis dati fontis per tubos fluentis invenire. 140
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456 <p>XXIII. Data alicujus tubi, aut va$is erogatorii altitudine, ac tempore quo deter-
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457 minatam aqu&aelig; quantitatem &egrave; $uo lumine effundit, invenire altitudinem
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458 ejusdem aut alterius tubi, qui &aelig;quali tempore, per &aelig;quale lumen, aliam de-
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459 terminatam aqu&aelig; quantitatem effundat. 140
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460 <p>XXIV. In tubo $eu va$e $emper pleno determinare $patia, qu&aelig; temporibus
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461 &aelig;qualibus $ibi $uccedentibus evacuantur; uti &amp; menfuram $eu pondus a-
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462 qu&aelig; qu&aelig; effluit. 141
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463 <C>PARERGUM CAPITIS III.</C>
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464 <p>De inventione medi&aelig;, ac terti&aelig; proportionalis quantitatis, in numeris, &amp; lineis. 144.
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465 <p>PROPOSITIO
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466 <p>I. Inter duos numeros medium proportionalem invenire. 145
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467 <p>II. Datis duobus numeris, tertium continu&egrave; proportionalem invenire. ibid.
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468 <p>III. Inter duas rectas lineas datas invenire tertiam proportionalem. ibid.
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469 <p>IV. Datis duabus rectis, invenire tertiam proportionalem. 146
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470 <p>V. Aliter invenire tertiam proportionalem. 147
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471 <p>VI. Adhuc aliter invenire tertiam proportionalem. ibid
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472 <p>VII. Datis tribus numeris invenire quartum proportionalem. 148
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473 <p>VIII. Datis tribus rectis lineis, quartam proportionalem invenire. ibid.
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474 <C>CAPUT IV.</C>
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475 <p>De proprietatibus aqu&aelig; $alientis ex tubis. 149
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476 <p>PROPOSITIO
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477 <p>I. Salientium $ive ecdromorum horizontalium, &amp; mediorum, $uper eodem ho-
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478 rizonte, longitudines $unt in ratione $ubduplicata tuborum, ex quibus exi-
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479 liunt. 151
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480 <p>III. Salientes horizontales &amp; medi&aelig;, ejusdem tubi, e&ograve; $unt longiores, qu&ograve; lu-
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481 men tubi fuerit altius $upra horizontem. 153
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482 <pb>
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483 <p>III. Salientes horizontales &amp; medi&aelig;, eandem longitudinis rationem $ervant,
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484 quam altitudines tuborum $uper eundem horizontem. 154
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485 <p>IV. Salientium verticalium in quacunque elevatione tubi $upra horizontem
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486 $emper eadem e$t altitudo. 155
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487 <p>V. Saliens verticalis nunquam ad&aelig;quat aluitudinem originis. 156
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488 <p>VI. Saliens verticalis tubi quadrupedalis proxim&egrave; &aelig;quat quinque $extas tubi $ui
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489 partes. ibid.
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490 <p>VII. Salientes verticales e&ograve; $unt longiores, qu&ograve; tubi $unt longiores; $ed non e&acirc;-
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491 dem proportione ill&aelig; ac hi cre$cunt. ibid.
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492 <p>VIII. Data tubi altitudine, &amp; $upra horizontem elevatione, invenire longitudi-
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493 nem $alientis horizontalis, &amp; medi&aelig;. 157
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494 <p>IX. Data longitudine $alientis horizontalis, aut medi&aelig;, invenire altitudinem tu-
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495 bi, cognit&acirc; ejus elevatione $upra horizontem. ibid.
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496 <p>X. Ex nota $caturiginis altitudine fontis unius ex tubo exilientis horizontaliter,
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497 altitudinem $caturiginis cujuscunque alterius &aelig;qualiter $upra horizontem
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498 elevati invenire. 158
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499 <C>CAPUT V.</C>
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500 <p>De fluxu aqu&aelig; per diver$a ejusdem va$is aut tubi foramina. 158
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501 <p>PROPOSITIO
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502 <p>I. Per foramina &aelig;qualia, &aelig;qu&egrave; &agrave; $ummo tubi di$tantia, $ive in ba$e, $ive in latere,
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503 &aelig;quali tempore &aelig;quales fluunt aquarum quantitates. 160
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504 <p>II. Aqu&aelig; &egrave; foraminibus &aelig;qualiter &agrave; $ummo tubi di$tantibus decurrentes, $unt in-
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505 ter $e ut foramina. ibid.
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506 <p>III. Aqua per foramina va$is eo impetu $eu velocitate decurrit, quo per tubos
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507 &aelig;qualium foraminum &amp; altitudinum. 161
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508 <p>IV. Velocitates aqu&aelig; decurrentis per foramina &aelig;qualia ejusdem va$is, in&aelig;qua-
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509 liter di$tantia &agrave; $ummo va$is, $unt in $ubduplicata ratione di$tanti&aelig;. 162
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510 <p>V. Aqu&aelig; per &aelig;qualia foramina in&aelig;qualiter &agrave; $ummitate va$is di$tantia fluentes,
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511 $unt in $ubduplicata ratione di$tantiarum. ibid.
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512 <p>VI. Secto foramine laterali va$is in partes &aelig;quales, &agrave; rectis horizontalibus, in-
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513 venire rationes aquarum ex eis fluentium. 163
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514 <p>VII. Secto foramine laterali va$is in partes in&aelig;quales, &agrave; rectis horizontalibus,
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515 reperire rationes aquarum effluentium ex ip$is. 164
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516 <p>VIII. Datis foraminibus in&aelig;qualibus $uper eadem horizontali, venari rationes
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517 aquarum. ibid.
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518 <p>IX. Datis foraminibus ejusdem va$is, quorum unum $uperius, alterum inferius,
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519 inter easdem parallelas perpendiculares, reperire rationes aquarum. 165
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520 <pb>
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521 <p>X. Datis foraminibus ejusdem va$is, quorum unum $uperius, alterum inferius;
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522 non inter easdem parallelas, reperire rationes aquarum. ibid.
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523 <p>XI. Dato foramine, &amp; linea horizontali, in aliquo va$e, con$tituere $uper illa fo-
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524 ramen, &egrave; quo &aelig;qualis aqua fluat eodem tempore. 166
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525 <p>XII. Dato foramine, &amp; latere alterius in eodem va$e, reperire foramen, &egrave; quo
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526 &aelig;qualis aqua effluat. ibid.
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527 <p>XIII. Dato foramine, reperire aliud &aelig;quale in eodem va$e, &egrave; quo fluat aqua in
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528 ratione data. 167
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529 <p>XIV. Dato foramine, aptare in eodem va$e aliud datum $imile, magnitudinis di-
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530 ver$&aelig;, &agrave; quo aqua fluens cum fluente &agrave; primo, habeat rationem datam. 168
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531 <C>CAPUT VI.</C>
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532 <p>De a&euml;ris gravitate, rarefactione, &amp; conden$atione. 169
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533 <p>PROPOSITIO
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534 <p>I. A&euml;ris gravitatem invenire. 169
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535 <p>II. Quantum conden$ari a&euml;r po$$it, invenire. 170
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536 <p>III. Quantum rarefieri a&euml;r po$$it, invenire. 171
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537 <C>PARS II.</C>
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538 <C>PRACTICA.</C>
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539 <p>De fabrica Machinarum Hydro-pnevmaticarum ex traditis principiis. 173
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540 <C>CLASSIS PRIMA.</C>
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541 <p>De variis Hydraulicis atque Pnevmaticis Machinis. 176
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542 <C>CAPUT I.</C>
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543 <p>De Machinis qu&aelig; fiunt vi attractiva. ibid.
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544 <p>MACHINA
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545 <p>I. Fonticulus phial&aelig; vitre&aelig; inclu$us. 177
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546 <p>II. Siphon inver$us interruptus, aquam in determinatam altitudinem evchens. 179.
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547 <p>III. Fons C&aelig;$areus. 181
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548 <p>IV. Scyphus plenus per fundum effundens liquorem, non plenus retinens. 183
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549 <p>V. Cancer vomitor. 185
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550 <p>VI. Sph&aelig;ra vitrea Aqui$uga. 186
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551 <p>VII. Siphon inver$us interruptus, elevans aquam in quamvis altitudinem. ibid.
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552 <p>VIII. Navis Horologa. 188
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553 <p>IX. Siphon inver$us horologus. 189
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554 <pb>
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555 <p>X. Bina va$a, quorum uni $i aqua infundatur, alterum reddit vinum. 190
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556 <C>CAPUT II.</C>
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557 <p>De Machinis qu&aelig; fiunt vi expul$iva. 191
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558 <p>I. Fons Heronis in va$is immediatis. 192
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559 <p>Item Fonticulus $imilis Fonti Heronis. 194
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560 <p>II. Clep$ydra Heroniana. 195
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561 <p>III. Fons Heronis in va$is mediatis: item $cyphus diver$os ejiciens liquores. 197.
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562 <p>IV. Fons novus Poly$iphonius. 201
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563 <p>V. Fons perennis, alto in loco aquam &egrave; puteo profundo $ubmini$trans. 203
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564 <p>VI. Antlia, $eu Cte$ibia Machina. 205
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565 <p>VII. Speculator cornu inflans. 207
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566 <p>VIII. Fonticulus compre$$ione aquam $pargens in altum: Baculus item viato-
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567 rius aquivomus, &amp; Catellus mingens. 208
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568 <p>IX. Phiala vitrea, compre$$ione aquam projiciens in altum. 211
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569 <p>X. Infundibulum pnevmatico-hydraulicum, aquam in determinatam altitudi-
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570 nem attollens. 211
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571 <p>XI. Infundibulum alterum pnevmatico-hydraulicum, aquam in quamlibet al-
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572 titudinem extollens. 213
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573 <p>XII. Fons e&acirc;dem fi$tul&acirc; di$colores ejiciens liquores. 214
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574 <p>XIII. Sclopetum &AElig;olium $eu pnevmaticum. 216
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575 <p>XIV. Aliud $clopetum Pnevmaticum. 217
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576 <p>XV. Sedes Aquivoma. 219
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577 <p>XVI. Heronis va$a qu&aelig; vinum pro aquainfu$a reddunt: $eu Hydri&aelig; Can&aelig; Ga-
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578 lil&aelig;&aelig;. 220
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579 <p>XVII. Hydraconti$terium antiquum. 222
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580 <p>XVIII. Hydraconti$terium novum. 223
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581 <C>CAPUT III.</C>
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582 <p>De Machinis qu&aelig; fiunt rarefactione. 226
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583 <p>MACHINA
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584 <p>I. Pyrobolus fons, incale$centis per ignem a&euml;ris vi aquam expellens. 226
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585 <p>II. Fons alius pyrobolus, projectum liquorem convertens in a&euml;rem, autignem.
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586 226. Item Meteorologic&aelig; impre$$iones igne&aelig;. 229
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587 <p>III. Thermo$copium progno$ticum Hybernum. 229. &amp; &AElig;$tivum. 231
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588 <p>IV. <*>umentum novum, gradus humidi &amp; $icciindicans. 232
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589 <p>V. Cacabus ejiciens, &amp; retrahens eandem aquam. 236
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590 <p>VI. Pil&aelig; &AElig;oli&aelig;. 237
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591 <p>VII. Ci$ta &AElig;olia. 238
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592 <pb>
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593 <p>VIII. &AElig;olus ventum efflans. 239
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594 <p>IX. Memnonia $tatua, cithar&aelig;, &amp; human&aelig; vocis $onum ad orientem $olem
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595 edens. 240
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596 <p>X. Memnoni&aelig; aves, voce &amp; motu animat&aelig;. 242
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597 <p>XI. Ara a$pide adornata, in qua igne po$ito I$is &amp; O$iris vinum &amp; lac $acrificant
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598 a$pis ver&ograve; $ibilando applaudit. 244
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599 <p>XII. Valv&aelig; $acelli $uccen$o $acrificii igne $ponte aperibiles, &amp; extincto clau$&aelig;. 246.
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600 <p>XIII. Ara Deorum imagines tripudiantes exhibens. 247
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601 <p>XIV. Hydrologium horarum A$tronomicarum, $eu &aelig;qualium. 248
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602 <p>XV. Fonticulus horarius. 249
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603 <p>XVI. Pr&aelig;co horarius, $ingulis horis cornu inflans. 252
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604 <C>CAPUT IV.</C>
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605 <p>De Machinis qu&aelig; fiunt naturali lap$u aqu&aelig;. 254
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606 <p>MACHINA
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607 <p>I. Clep$ydra Kircheriana, qu&aelig; fontis in$tar ejaculatur aquam, &amp; inver$a ite-
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608 rum fluit. 254
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609 <p>II. Multimammia Deorum mater, lac ex uberibus promens. 256
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610 <p>III. Rota ver$atilis, aquam lu$trationi nece$$ariam fundens. 257
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611 <p>IV. Cycocephalus &AElig;gyptius ex veretillo aquam fundens, qu&aelig; horas &aelig;q<*>-
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612 ctiales in $ubjecto va$e mon$trat. 259
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613 <p>V. Hydrologium horarum antiquarum, $eu in&aelig;qualium. 261
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614 <p>VI. Hydrologium Bettinianum. 264
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615 <p>VII. Hercules clav&acirc; Draconem percutiens. 265
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616 <p>VIII. Aquila horodictica. 269
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617 <p>IX. Chorea $erpentum aquivomorum. 270
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618 <p>X. Coluber volitans. 271
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619 <p>XI. Nauta Hydro-horologus. 272
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620 <p>XII. Libra hydraulica horodictica. 274
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621 <p>XIII. Hydraulicum horolabium facillimum. 275
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622 <p>XIV. Incubus Hydro-horologus. 276
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623 <p>XV. Hydrologium Magneticum. 277
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624 <C>CAPUT V.</C>
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625 <p>De Machinis qu&aelig; habent principium mixtum. 278
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626 <p>MACHINA
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627 <p>I. Avis ex$putam &agrave; $erpente aquam $orbens &egrave; cratere. 279
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628 <p>II. Vas hydro-pnevmaticum, omnis generis jocos exhibens. 281
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629 <p>III. Triton buccin&acirc; inflat&acirc; cur$um fluminum fi$tens. 285
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630 <pb>
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631 <p>IV. Atlas c&aelig;lum humeris impo$itum torquens in gyrum. 289
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632 <p>V. Lucerna Grunbergeriana. 290
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633 <p>VI. Hydrotechnicus tubus, varia ludentis Natur&aelig; $pectacula exhibens. 291
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634 <C>CAPUT VI.</C>
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635 <p>De Machinis hydraulicis variis. 299
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636 <p>MACHINA
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637 <p>I. Sph&aelig;ra in a&euml;re fu$pen$a, ac circa $uum centrum mota. 300
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638 <p>II. Cribrum Ve$talis virginis. 303
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639 <p>III. Tubus vitreus, aquam perpetu&ograve; incorruptam con$ervans. 304
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640 <p>IV. Ph&oelig;nix hydro-botanica. ibid.
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641 <p>V. Phiala tabaci fumum refrigerans. 305
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642 <p>VI. Torricelli &amp; Berti tubus vacuo vacuus. 306
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643 <p>VII. Hydropota varij coloris ac $aporis aquam ex$puens. 310
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644 <p>VIII. Palingene$ia C&aelig;$area. 313
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645 <p>IX. Vas eodem ore vinum &amp; aquam, calidam &amp; frigidam, hauriens ac fundens. 315
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646 <p>X. Prochyta Heronis Alexandrini mal&egrave; con$tructa. 317
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647 <p>XI. Libra hydro$tatica mirabilis. 318
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648 <p>XII. Canopus &AElig;gyptiacus. 320
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649 <p>XIII. Lamina plumbea plana, aquis innatans. 321
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650 <p>XIV. Anemo$copium commune. ibid.
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651 <p>XV. Anemo$copium Kircherianum. 323
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652 <p>Epilogus Cla$$is prim&aelig;, ubi nonnulla de fontibus Romanis, ac Tu$culanis,
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653 aliisque. 325
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654 <C>CLASSIS SECUNDA</C>
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655 <p>De Machinis motum perpetuum &aelig;mulantibus. 329
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656 <p>PROLUSIO. De motus perpetui arte procurati impo$$ibilitate. ibid.
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657 <p>MACHINA
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658 <p>I. Cochlea Archimedea motum perpetuum &aelig;mulans. 336
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659 <p>II. Tubus $piralis in plano, aquam attollens, &amp; motum perpetuum &aelig;mulans. 341
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660 <p>III. Horarium hydraulicum, motum perpetuum adumbrans. 346
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661 <p>IV. Kircheriana Machinula, motus perpetui rarefactionis &amp; conden$ationis
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662 $pecim<*>n exhibens. 351
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663 <p>V. Fonticulus motum perpetuum vi rarefactionis &amp; conden$ationis a&euml;ris e-
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664 mentitus. 353
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665 <pb>
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666 <p>VI. Horo$copium Hydropnevmato-Magneticum, quo $ph&aelig;ra Magnetica in
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667 medio liquorum librata perpetu&ograve; circumducitur, ad mon$trandas ho-
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668 ras, circulos c&oelig;le$tes, totiusque A$trolabij my$teria. 354
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669 <p>VII. Machinamentum aliud hydro-pnevmatico-magneticum, perpetuans mo-
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670 tum per ventum. 357
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671 <p>VIII. Cte$ibica Machina perpetui motus &aelig;mula. 360
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672 <p>IX. Catona perpetu&ograve; mobilis in gyrum hydro$tatic&acirc; arte, ut putabatur. 362
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673 <p>X. Situl&aelig; automat&aelig;, $pontaneo atque perpetuo motu aquam haurientes. 365
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674 <p>XI. Funigiana indu$tria perpetuo motu $itul&aelig; unic&aelig; &egrave; puteis aquam hauriens. 368
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675 <p>XII. Perennis fontium ac fluviorum in Terraqua circulatio. 371
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676 <p>XIII. Gnomon Scheinerianus in centro mundi. 374
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677 <p>XIV. Mobile perpetuum Chymico-hydraulicum. 376
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678 <p>ANNOTATIO II. De Motu perpetuo quem Drebellius &amp; alij adumbrarunt. 377
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679 <p>ANNOTATIO III. De motu perpetuo quem Bo&euml;klerus promittit. 379
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680 <p>ANNOTATIO IV. De motu perpetuo quem D. Har$torfferus excogitavit. 381
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681 <C>CLASSIS TERTIA.</C>
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682 <p>De Organis hydraulicis, aliisque in$trumentis harmonicis hydropnevma-
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683 ticis. 383
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684 <p>MACHINA I. Organum hydraulicum automatum &amp; autophonum. 384
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685 <p>PRAGMATIA I. Cameras &AElig;olias fabricari, ad ventum organo hydraulico
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686 $ubmini$trandum. ibid.
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687 <p>PRAGMATIA II. Secundus modus &AElig;olias cameras fabricandi. 386
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688 <p>PRAGMATIA III. Tertius modus &AElig;olias cameras con$truendi. 387
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689 <p>PRAGMATIA IV. Ventum per folles perpetuum producere in ordine ad
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690 Organa hydraulica. 388
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691 <p>PRAGMATIA V. Folles aliter inflare ad in$trumenta chordoph&ocirc;na $ive
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692 fidicina incitanda. 389
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693 <p>PRAGMATIA VI. Cylindrum phonotacticum con$truere. 390
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694 <p>&sect;. I. Cylindrum phonotacticum harmonic&egrave; delineare. ibid.
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695 <p>&sect;. II. Cantilenam in Cylindrum phonotacticum harmonic&egrave; delineatum
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696 transferre. 397
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697 <p>&sect;. III. Dentibus Cylindrum phonotacticum in$truere. 399
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698 <p>&sect;. IV. Plures cantilenas in eundem cylindrum transferre. 400
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699 <p>&sect;. V. Cantilenas $yncopatas, &amp; <I>b</I> molli $ignatas, ut &amp; $emitonia, in cylin-
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700 drum phonotacticum transferre. 401
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701 <p>&sect;. VI. Minimi valoris notas cylindro phonotactico in$erere. 406
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702 <pb>
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703 <p>PRAGMATIA VII. Cylindrum phonotacticum in gyrum movere. 407
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704 <p>PRAGMATIA VIII. Organum hydraulicum automatum atque antoph&ocirc;-
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705 num fabricare. 408
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706 <p>MACHINA II. Organum hydraulicum Vitruvianum. 409
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707 <p>MACHINA III. Cuculus cantans, atque tripudians. 414
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708 <p>MACHINA IV. Gallus cantans &amp; alas quatiens. 414
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709 <p>MACHINA V. Diver$&aelig; volucres garrientes, ac $e moventes. 417
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710 <p>MACHINA VI. Pan Octaulum inflans, Nympha Echo reflans. 418
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711 <p>MACHINA VII. Cyclopes automati Mu$icam Pythagoricam exhibentes. 420.
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712 <p>MACHINA VIII. Clavicymbalum automatum, omnis generis in$tru-
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713 mentorum fidibus in$tructorum $ymphoniam exhibens. 432
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714 <p>MACHINA IX. Automatum Kircherianum, omnis generis in$trumento-
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715 rum $ymphoniam exhibens. 436
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716 <p>MACHINA X. Ci$ta pnevmato-harmonica antoph&oacute;na, $olo vento harmo-
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717 nio$um $onum edens. 438
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718 <C>EXPERIMENTUM NOVUM
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719 MAGDEBURGICUM.</C>
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720 <p>&sect;. I. Experimentum quomodo fiat. 445
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721 <p>&sect;. II. Experimento jam invento qu&aelig;nam de novo addita Herbipoli. 447
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722 <p>&sect;. III. Argumenta ad $tabiliendum vacuum ex hoc Experimento $umpta. 449
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723 <p>&sect;. IV. Argumenta ad evertendum vacuum ex eodem Experimento deprom-
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724 pta. 450
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725 <p>&sect;. V. P. Athana$ii Kircheri de novo Experimento judicium. 452
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726 <p>&sect;. VI. Litter&aelig; Auctoris Experimenti, ejusdemque ad varia qu&aelig;$ita re$pon$io. 453.
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727 <p>&sect;. VII. Ejusdem Authoris re$pon$io ad no$trum qu&aelig;$itum. 450
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728 <p>&sect;. VIII. P. Nicolai Zucchii &egrave; Societate Je$u de novo Experimento judicium. 463.
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729 <p>&sect;. IX. P. Melchioris Corn&aelig;i &egrave; Societate Je$u de eodem Experimento judi-
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730 cium. 465
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731 <FIG>
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732 <pb>
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733 <C><I>In</I>
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734 MECHANICAM HYDRAU-
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735 LICAM</C>
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736 <C>Odarion Encomia$ticon.</C>
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737 <I>CEdat $uperbas Amphitryonides<lb>
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738 Palmas Minerv&aelig;. Vis jacet: Artium<lb>
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739 Trop&aelig;a clarent. Cuncta nut us<lb>
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740 Jam Domin&aelig; venerantur Artis.<lb>
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741 Non ille no$tri temporis Hercules,<lb>
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742 Qui frangit armis cornua fluminum,<lb>
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743 Dum cana $eclorum $enectus<lb>
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diff changeset
744 Ingeniis animis &qacute;ue floret.<lb>
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745 Quid? erg&ograve; Reges n&egrave; furor incitet<lb>
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746 Vincire Pontum. Nil ni$i fabulam<lb>
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747 Seris propinabit nepotum<lb>
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748 Fa$tus Ach&aelig;menid&aelig; cachinnis.<lb>
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diff changeset
749 Ris&ecirc;re $tultas &aelig;quora compedes<lb>
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diff changeset
750 Manare ritu certa $uo, licet<lb>
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751 Ringatur &amp; flagro rebelles<lb>
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752 Mulctet aqu&aelig; male$anus iras.<lb>
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753 In$anientis quid Domini min&aelig;<lb>
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754 Tangunt proteruum marmor? Herus jubet?<lb>
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755 Surde$cit, &amp; plaudente fluctu<lb>
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756 Ludificat pelagus Tyrannum.<lb>
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757 At non &amp; Artem vis Acheloia<lb>
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758 Impun&egrave; ludet. Capta $uis Aqua<lb>
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759 Technis tenetur, liberosque<lb>
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760 Victa jocos, patiturque ri$us.</I><lb>
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761 <pb>
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762 <I>Et quas domando non potuit mari<lb>
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763 Sev&ugrave;m fremi$cens ardor adoreas,<lb>
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764 Has len&egrave; $olers Machinator<lb>
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765 Pr&aelig;ripuit meliore ni$u.<lb>
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766 Spectare ge$tin? en tibi panditur<lb>
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767 Hoc $cena libro, qu&acirc; $trepitu procul,<lb>
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768 Qu&aelig; dulce $it $pecta$$e, $pectes,<lb>
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769 Qu&aelig;que juvet didici$$e, di$cas,<lb>
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770 Qu&agrave;m f&oelig;deratum non violabilis<lb>
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771 Lex nectat orbem; $i qua pericula<lb>
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772 Vexent, ut imis $umma, raris<lb>
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773 Den$a, levi grave det $alutem.<lb>
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774 Qu&ograve; pondus vnd<*> vergat, &amp; a&euml;ris;<lb>
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diff changeset
775 Quod pellat; aut quod corpora jus trahat;<lb>
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776 Cur i$te gurges ructet vndas,<lb>
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777 Quas avido bibit ales ore;<lb>
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778 Quid mille lu$us, mille jocos aqu&aelig;<lb>
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779 Fundet, docebit</I> SCHOTTVS <I>Hydraulic&aelig;<lb>
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780 Con$ultus artis, doctas idem<lb>
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diff changeset
781 Ingenium fluitantis aur&aelig;.<lb>
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782 Non Ille nomen fluctibus apprimat,<lb>
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783 Quod turbet Au$ter, dignus aheneis<lb>
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784 Scribi columnis, qu&aelig; nec &aelig;vi<lb>
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785 Dente, nec invidi&aelig; terantur.</I><lb>
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786 <p>L. G. S. J.
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787 <pb>
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788 <C><I>MONITIO AD LECTOREM.</I></C>
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789 <p>Opu$culum hoc Appendice except&acirc; Rom&aelig;
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790 con$criptum, acpr&aelig;lo pr&aelig;paratum fuit;
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791 ideo in eo pa$sim ita loquitur Auctor,
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792 qua$i Rom&aelig; adhuc degeret. Vale, &amp; n&egrave;
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793 quid te moretur, errores paucos in calce
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794 Librinotatos, pri&ugrave;s corrige.
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795 <pb n=1>
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796 <FIG>
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797 <C>MECHANICA
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798 HYDRAVLICO-PNEVMATICA.</C>
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799 <C>PR&AElig;LOQVIVM
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800 AD LECTOREM;</C>
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801 <C>De Operis Occa$ione, Divi$ione,
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802 In$criptione: de&qacute;ue Hydraulicorum,
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803 &amp; Pnevmaticorum Scripto-
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804 ribus.</C>
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805 <C>OCCASIO OPERIS.</C>
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806 <p><I>MAgiam Naturalem con$cribere ani-</I>
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807 <MARG>Magia Na-
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808 turalis Au-
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809 ctoris.</MARG>
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810 <I>mus mihi est, benevole Lector, &egrave; Viri
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diff changeset
811 Docti$$imi, toto&queacute; orbe noti$$imi Atha-
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812 na$ij Kircheri Libris, qu&agrave; typo excu$is,
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813 qu&agrave; exar atis manu collectam; at&que; ex omnibus eius-
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814 dem Adver$ariis ac Schediasmatis, qu&aelig; penes me
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diff changeset
815 $unt; nec non ex alijs probatorum Auctorum monu-
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816 mentis, nostris&queacute; inventis, fide $umm&acirc;, pari&queacute; $tudio
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817 concinnatam, propriis&queacute; &amp; aliorum experimentis
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818 $tabilitam: illam inquam Magiam Naturalem, cuius</I>
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819 <pb n=2>
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820 <I>in Catalogo Librorum posth&agrave;c &agrave; pr&aelig;dicto Docti$$imo
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821 Auctore edendorum Magnetic&aelig; Arti denu&ograve; h&icirc;c Ro-
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822 m&aelig; nuper edit&aelig; appo$ito feci mentionem. Spartam
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823 hanc ab ip$o Auctore mihi commi$$am pr&aelig; alijs a$$um-
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824 p$i excolendam, quoniam pr&aelig;terqu&agrave;m qu&ograve;d omnium
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825 ab ip$o con$criptorum librorum, $eu pr&aelig;lo commi$$or&utilde;,
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826 $eu in Adver$aria coniectorum, copiam habeo, quo-
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827 tidian&acirc; eiusdem vtor con$uetudine, vtpote inre litte-
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828 rari&acirc; $ocius; cuius proinde $ententiam aut min&ugrave;s
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829 intellectam, aut brevi&ugrave;s $ubinde explicatam, exquire-
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830 re nullo negotio po$$um. Opus erit ingens, multi&queacute; la-
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831 boris ac $tudij, nec min&ugrave;s recondit&acirc; rerum c&ugrave;m natu-
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832 ralium, t&ugrave;m arte factarum refertum $cienti&acirc;. Habe-
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833 bis in eo varia, curio$a, exotica admir andorum effe-
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834 ctuum $pectacula, reconditar&uacute;mque inventionum mi-
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835 racula, &amp; qu&aelig; merit&ograve; cen$ebuntur magica; ab omni
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836 tamen impostur&acirc;, &amp; illicit&aelig; artis $u$picione aliena.
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837 Habebis Magiam Arithmeticam; at non vulgarem:
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838 Habebis Geometricam; at paucis perviam: Habebis
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diff changeset
839 Astronomicam; at penit&ugrave;s abstru$am Invenies Ma-
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parents:
diff changeset
840 giam Magneticam, Gnomonicam, Staticam, Opti-
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diff changeset
841 cam, Dioptricam, Catoptricam, Hydraulicam, Pnev-</I>
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parents:
diff changeset
842 <pb n=3>
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casties
parents:
diff changeset
843 <I>maticam, Pyrobolicam, Harmonic&atilde;, Phonocamptic&atilde;
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casties
parents:
diff changeset
844 Anac&atilde;ptic&atilde;, Anaclasticam, Phy$iognomic&atilde;, Mecha-
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casties
parents:
diff changeset
845 nicam, Sympathicam, Steganologicam, Cryptographi-
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casties
parents:
diff changeset
846 cam, Divinatoriam, Cabalicam, Hieroglyphicam,
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casties
parents:
diff changeset
847 Sacram. Miraberis in eodem Opere $ecreta Ani-
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casties
parents:
diff changeset
848 malium, Herbarum, Plantarum, Lapidum, aliar&uacute;m-
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parents:
diff changeset
849 que rerum per variam activorum cum pa$$ivis appli-
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parents:
diff changeset
850 cationem, virtutum occultarum combin ationem, Na-
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parents:
diff changeset
851 tur&aelig; &amp; Artis connubium, Paranymph&acirc; Experienti&acirc;.
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casties
parents:
diff changeset
852 Jdeam aliquam in fine huius Operis invenies.</I>
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parents:
diff changeset
853 <p><I>Quoniam ver&ograve; Opus, vt dixi, vastum erit, mul-
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parents:
diff changeset
854 ti&queacute; laboris ac $tudij, nec ni$i $ubci$ivis horis, quas
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parents:
diff changeset
855 ordinariis occupationibus $ubtr ahere licebit, perfici-
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parents:
diff changeset
856 endum; oper&aelig; pretium me facturum, grat&uacute;mque Rei-
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parents:
diff changeset
857 public&aelig; Litter ari&aelig; existimavi, $iqu&aelig; paulatim elabo-
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parents:
diff changeset
858 ra$$em, per partes protruderem. Ab Hydraulicis igi-
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parents:
diff changeset
859 tur atque Pnevmaticis initium $umere decrevi, id&queacute;
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parents:
diff changeset
860 non t&agrave;m me&acirc;, qu&agrave;m aliorum voluntate. Scribendi
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parents:
diff changeset
861 occa$io h&aelig;c fuit. Est in $upradicti Docti$$imi Auctoris</I>
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parents:
diff changeset
862 <MARG>Mu$eum
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parents:
diff changeset
863 Kircheria-
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parents:
diff changeset
864 num.</MARG>
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parents:
diff changeset
865 <I>Mu$eo $an&egrave; celeberrimo, frequent ati$$im&oacute;que (quod
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parents:
diff changeset
866 brevi typis evulgabimus) non exigua Hydraulicar&utilde;
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parents:
diff changeset
867 ac Pnevmaticarum Machinarum copia, quas $um-</I>
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parents:
diff changeset
868 <pb n=4>
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parents:
diff changeset
869 <I>m&acirc; animi voluptate $pectant atque mir antur ij, qui
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parents:
diff changeset
870 ex omnibus Vrbis &amp; Orbis partibus ad ip$um vi$en-
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parents:
diff changeset
871 dum accurrunt Viri Principes ac Litter ati, avid&eacute;-
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parents:
diff changeset
872 que $cire de$iderant, &amp; Machinarum constructa-
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parents:
diff changeset
873 rum rationes, &amp; machinalium motionum cau$as. Ho-
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parents:
diff changeset
874 rum de$ider&igrave;o vt $atisfacerem, omnium dicti Mu$ej
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casties
parents:
diff changeset
875 Machinarum fabricam &amp; qua$i anatomiam edoce-
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parents:
diff changeset
876 re, aut alicubijam ab ip$o Auctore edoctam enarrare,
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casties
parents:
diff changeset
877 brevi opu$culo aggre$$us $um. Quod dum faciebam,
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parents:
diff changeset
878 tam multa ejusd&etilde; argumenti animo calam&oacute;q; occur-
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parents:
diff changeset
879 rebant, qu&aelig; alibi videram, legeram, excogitaveram
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parents:
diff changeset
880 ip$e, nec vulgaria, nec injucunda, vt difficili&ugrave;s mihi
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parents:
diff changeset
881 fuerit $istere, qu&agrave;m pro$equi inceptum cur$um; nec mi-
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parents:
diff changeset
882 nor in non $eribendo, qu&agrave;m in $cribendo labor $ubeun-
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parents:
diff changeset
883 dus: mult&oacute;que plurafuerunt omittenda, qu&agrave;m char-
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parents:
diff changeset
884 t&aelig; committenda, vt $umptibus &amp; tempori parceretur.</I>
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885 <C>OPERIS DIVISIO.</C>
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886 <p><I>C&ugrave;m ver&ograve; vt in aliis $cientiis &amp; artibus, ita in Hydrauli-
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parents:
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887 cis atque Pnevmaticis, vel maxim&egrave; Praxis &amp; Theoria</I>
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casties
parents:
diff changeset
888 <MARG>Divi$io O-
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casties
parents:
diff changeset
889 peris pr&aelig;-
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parents:
diff changeset
890 $entis bi-
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parents:
diff changeset
891 partita.</MARG>
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parents:
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892 <I>conjunctionem ita ambiant, vt vna $i alteram de$tituat, meri-
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parents:
diff changeset
893 t&ograve; vtraque cadat; &amp; nec $ola Praxis $uam $ine Theoria obtine-
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894 at exi$timationem, nec $ine Praxi$ola $uam Theoria; vtram&qacute;;
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parents:
diff changeset
895 coniungendam putavi; pr&aelig;$ertim c&ugrave;m vix vllum id hactenus
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casties
parents:
diff changeset
896 factita$$e videam, tu&qacute;ue mecum per$picies, Lector, $ievolves,</I>
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parents:
diff changeset
897 <pb n=5>
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parents:
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898 <I>quotquot de Aquaticis ac Spiritalibus quoquo modo tract&acirc;r&utilde;t
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casties
parents:
diff changeset
899 Auctores, quorum Elenchum po$tea dabimus. Plerique enim
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casties
parents:
diff changeset
900 nudam duntaxat tradunt Praxin, non per$criptis, ac n&egrave; indi-
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casties
parents:
diff changeset
901 catis quidem operandi principijs $eu fundamentis, qu&aelig; veligno-
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casties
parents:
diff changeset
902 rarunt ip$i, vel alijs inviderunt: qu&ograve; fit, vt alijs $&aelig;pe errandi
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parents:
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903 pr&aelig;beant occa$ionem, &amp; ip$i n&otilde; rar&ograve; pudendos committant erro-
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parents:
diff changeset
904 res, vel tunc etiam, c&ugrave;m aliorum errores detegere at&qacute;ue corri-
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casties
parents:
diff changeset
905 gere pr&aelig;$umptuo$i&ugrave;s attentant. In duas igitur partes Opus to-
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casties
parents:
diff changeset
906 tum dividimus. In prima theoriam damus ad omnis generis
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casties
parents:
diff changeset
907 Machinas Hydraulicas, Pnevmaticas, &amp; Mixtas ex Vtris-
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casties
parents:
diff changeset
908 que con$truendas facilitate $umm&acirc;, $ucce$$u infallibili. In $e-
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parents:
diff changeset
909 cunda fabricam docemus, &amp; praxim exhibemus innumera-
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casties
parents:
diff changeset
910 rum Machinarum, $eu pur&egrave; Hydraulicarum, $eu pur&egrave;
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casties
parents:
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911 Pnevmaticarum, $eu Hydro-pnevmaticarum, hoc e$t, ex v-
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casties
parents:
diff changeset
912 tris que Mixtarum, ex traditis principijs con$tructarum, con-
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casties
parents:
diff changeset
913 $truendarumv&egrave;, ad hortorum delicias, domorum&qacute;ue vtilita-
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casties
parents:
diff changeset
914 tes, commoditates, ornamenta, virorum pr&aelig;$ertim Principum,
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casties
parents:
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915 qui magis oculorum inde, animi&qacute;ue oblectamentum, qu&agrave;m rei
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casties
parents:
diff changeset
916 familiaris qu&aelig;$tum ex$pectant. Nec oculos tantum mod&ograve; pa-
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casties
parents:
diff changeset
917 $<*>ere $atagimus; auribus etiam $ua paramus delinimenta, va-
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casties
parents:
diff changeset
918 ria&qacute;ue Organa atque Jn$trumenta automata, &amp; autophona,
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parents:
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919 $olo aquarum lap$u, a&euml;ris &qacute;ue allap$u, in motum ac $onum con-
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casties
parents:
diff changeset
920 citamus, non minori facilitate, qu&agrave;m arte. Et quoniam in-</I>
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casties
parents:
diff changeset
921 <MARG>Motus per-
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casties
parents:
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922 petui effi-
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casties
parents:
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923 ciendi pru-
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parents:
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924 ritus mul-
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casties
parents:
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925 torum.</MARG>
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casties
parents:
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926 <I>credibilis e$t hodie, $i unquam ali&agrave;s, ne$cio an manuum, an ve-
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casties
parents:
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927 r&ograve; ingeniorum pruritus, motum, quem vocant perpetuum (quem
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casties
parents:
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928 tot modis ac vijs n&otilde; pauci hactenus qu&aelig;$iverunt, $ed fru$tr&agrave;, per-
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929 ennis quietis poti&ugrave;s qu&agrave;m motionis Architecti) reap$e exhibendi,</I>
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diff changeset
930 <pb n=6>
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931 <I>&amp; Mundo iam dudum eius ex&aelig;$tuanti de$iderio obtrudendi;
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diff changeset
932 multi&qacute;ue putant, non alijs $acili&ugrave;s Machinis qu&agrave;m hydrauli-
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933 cis in opus deduci id po$$e; in vnum collegi refutavi&qacute;ue, quot-
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934 quot videre, audire, legere potui aliorum artificia, qui e&acirc; in re
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935 $e aliquid pr&aelig;$titi$$e putarunt, aut pr&aelig;$tari po$$e $ibi per$ua$e-
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936 runt; vt vis&acirc; alieni conatus vanitate, curio$us Lector judi-
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diff changeset
937 cium ferre de alijs queat, &amp; &agrave; $imili vano labore $ibi temperet.
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diff changeset
938 Tres igitur Cla$$es habebit Pars $ecunda Operis.</I>
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939 <C>OPERIS INSCRIPTIO.</C>
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940 <MARG>In$criptio
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diff changeset
941 operis pr&ecedil;-
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942 $entis.</MARG>
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943 <p><I>MEchanicam porr&ograve; Hydraulico-pnevmaticam vocamus
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diff changeset
944 hoc Opus; &amp; Machinas Hydro pnevmaticas, $eu Hydrau-
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diff changeset
945 lico-pnevmaticas, quas in eodem producimus, appellamus,
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diff changeset
946 qu&ograve;d pler&aelig;que tales $int, taliumque tradantur in prima Operis
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diff changeset
947 parte principia ac regul&aelig;; Hydraulico-pnevmaticas, inquam,
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diff changeset
948 qua$i dicas, Aquatico-Spiritales, hoc e$t, aqua &amp; $piritu $eu a&euml;re</I>
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diff changeset
949 <MARG>Aquatic&aelig;
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diff changeset
950 Machin&aelig;
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diff changeset
951 triphcis $&utilde;t
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diff changeset
952 generis.</MARG>
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diff changeset
953 <I>animatas. Aquatic&aelig; etenim Machin&aelig;, hauriendis &egrave; profun-
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diff changeset
954 do, deducendis per planitiem, educendis in altum per fi$tulas ac
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diff changeset
955 tubos</I> (<G>a)ul<*>\s</G> <I>Gr&aelig;ci appellant) aquis excogitat&aelig;, triplicis $unt</I>
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diff changeset
956 <MARG>Tractori&aelig;.</MARG>
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diff changeset
957 <I>generis. Ali&aelig; iumentorum, hominum, ponderum ope, rotis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
958 vari&egrave; inter $e$e implicatis, moventur; cuiusmodi $unt tympa-
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diff changeset
959 na, antli&aelig;, cochle&aelig;, tollenones, $imiliaque, qu&aelig; Vitruvius pro-
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diff changeset
960 ducit libro</I> 10. <I>Capite</I> 9, 10, 11, 13, <I>&amp;</I> 14. <I>alijque
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diff changeset
961 Auctores multi</I> <MARG>Hydrauli-
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962 c&aelig;.</MARG>
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963 <I>ad nau$eam vsque confarcinatis libris inculcant. Ali&aelig; $olo aqua-
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964 rum lap$u fontes exhibent am&oelig;ni$$imos, &amp; aquas per $iphones
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965 tubosque vari&egrave; configuratos protru$as nunc expandunt in $ub-
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966 tili$$imum lucidi$$imum que velum, nunc diffundunt in radios,</I>
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967 <pb n=7>
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968 <I>figurant in $tellas, effingunt in flores, extendunt in iacula, cri-
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diff changeset
969 $pant in pluvias, conglobant in grandines, $umm&acirc; oculorum
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diff changeset
970 voluptate, vt pa$$im in vrbanis ac $uburbanis Rom&aelig; vide-
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971 mus hortis.</I>
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972 <p><I>Ali&aelig; denique inclu$i intru$ive &auml;eris violenti&acirc; eiaculan-</I>
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973 <MARG>Hydrauli-
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974 co-pnev-
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975 matic&aelig;.</MARG>
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976 <I>tur in altum aquas, inflant tibias, tubasque, volucrum ani-
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977 maliumque aliorum imitantur motum ac Cantum, aliaque pr&aelig;-
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978 $tant tam mira atque exotica, vix vt ab humano ingenio pr&aelig;-
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979 $tari po$$e videantur. Eius generis fuit apud Cornelium Seve-
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980 rum in &AElig;tna Triton, qui aquarum a$$ultu auram concipiebat,
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diff changeset
981 ac per buccinam ori admotam vocem edebat, $ive vt ait Po&euml;ta,
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diff changeset
982 irriguum Carmen. Tales etiam $unt, quas magno numero, nec
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983 minori ingenio prodit Hero in $uo de Spiritalibus libello Machi-
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984 nas, ab antiquis (quos &AElig;gyptios interpretatur Kircherus in
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985 Mechanica &AElig;gyptiaca tom.</I> 2. <I>Oedipi parte</I> 2.) <I>excogitatas:
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986 cuiusmodi $unt $tatu&aelig; ad aras vinum &amp; lac $acrificantes, va-
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987 $a melancoryphi vocem edentia, Syring&aelig; mentientes vocem a-
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988 vicularum multarum per ordinem di$po$itarum, quibus a$$idet
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989 noctua, qu&aelig; $ua $ponte ad aviculas conver$a eas terret, &amp; &agrave;
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990 cantu ab$terret; ali&aelig;&qacute;ue mult&aelig;. Tales denique, quas toto hoc
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991 Opere magno numero producimus.</I>
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992 <p><I>Primi generis Machinas appellamus nos cum alijs Tracto-
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993 rias: &amp; de illis non agimus hoc Opere; pertinent enim ad illam
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994 Mechanic&aelig; partem, qu&aelig; viponder&utilde; atque rotarum $uas perfi-
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995 cit operationes, &amp; $ine ip$ius principijs nec tradi, nec ab alijs
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996 percipi po$$unt: quare Magi&aelig; no$tr&aelig; Mechanic&aelig; eas re$erva-
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997 mus. Secundi generis Machinas appellamus Hydraulicas.</I>
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998 <pb n=8>
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999 <I>Tertij denique generis Hydraulico-pnevmaticas. Quoniam
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1000 igitur pler&aelig;que Machin&aelig;, quas producimus, huiu$modi $unt,</I>
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1001 <MARG>Machin&aelig;
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1002 huius Ope
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parents:
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1003 ris pler&aelig;q;
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1004 $&utilde;t hydrau-
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1005 lico- pnev-
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1006 matic&aelig;.</MARG>
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1007 <I>hoc e$t, aqu&aelig; &amp; a&euml;ris $ub$idio con$truct&aelig;; ideo Hydraulico-
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1008 pnevmaticas, vt dicebam, appellamus hoc Opere traditas
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1009 Machinas. Dico, plerasque aqu&aelig; &amp; a&euml;ris $ub$idio e$$e con-
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1010 $tructas; non omnes: $unt enim &amp; pur&egrave; hydraulic&aelig; mult&aelig;, &amp;
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1011 pur&egrave; pnevmatic&aelig; non pauc&aelig;; im&ograve; nonnull&aelig;, qu&aelig; licet aqu&aelig; au-
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1012 xilio fiant, hydraulic&aelig; tamen propri&egrave; ac rigoros&egrave;, juxta $en$um
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1013 expo$itum, cen$eri non po$$unt, vt videbis in Operis decur$u,
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1014 &amp; ex Machinarum indice apparebit.</I>
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1015 <C>SCRIPTORES HYDRAVLICORVM,
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1016 ET PNEVMATICORVM.</C>
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1017 <p><I>SCriptores quod attinet, qui de Hydraulicis, Pnevmaticis-
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diff changeset
1018 &qacute;ue quoquo modo $crip$erunt, &amp; ad manus meas pervene-
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diff changeset
1019 runt, $unt $equentes, Alphabeti ordine.</I> Archimedes, Atha-
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diff changeset
1020 na$ius Kircherus, Augu$tinus Ramellus, Benedictus Ca-
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diff changeset
1021 $tellus, Daniel Lip$torpius, Daniel Schvventerus, Evan-
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diff changeset
1022 geli$ta Torricellus, Galil&aelig;us Galil&aelig;i, Ga$par Ens, Ge-
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parents:
diff changeset
1023 orgius Agricola, Georgius Philippus Har$torfferus, Ge-
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parents:
diff changeset
1024 orgius Valla, Hero Alexandrinus, Hieronymus Carda-
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parents:
diff changeset
1025 nus, Iacobus Be$$on, Ioannes Bapti$ta Porta, Ioannes Ba-
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parents:
diff changeset
1026 pti$ta Balianus, Ioannes Bapti$ta Aleottus, Ioannes Iaco-
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parents:
diff changeset
1027 bus Weckerus, Ioannes Leurechon, Io$ephus Ceredus,
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parents:
diff changeset
1028 Ioannes Branca, Marinus Ghetaldus, Marinus Mer$en-
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parents:
diff changeset
1029 nus, Marius Bettinus, Nicolaus Cab&aelig;us, Petrus Herigo-
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parents:
diff changeset
1030 nius, Rapha&euml;l Magiottus, Robertus Valturius, Rober-
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parents:
diff changeset
1031 <pb n=9>
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parents:
diff changeset
1032 tus &agrave; Fluctibus, Salomon Caus, Simon Stevinus, Theo-
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parents:
diff changeset
1033 dorus Muretus, Va$$or Arabs, Vitruvius, eius&qacute;ue Com-
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parents:
diff changeset
1034 mentatores, vt Philander, Barbarus, C&aelig;$arinus, alij&qacute;ue.
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parents:
diff changeset
1035 <I>H&aelig;c Auctorum nomina.</I>
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parents:
diff changeset
1036 <p><I>Ex his Archimedes duos per$crip$it libros</I> <G>peri\ <*>w_n o)x<*>me/nwn</G>,
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parents:
diff changeset
1037 <MARG>Archime-
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parents:
diff changeset
1038 des.</MARG>
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parents:
diff changeset
1039 <I>hoc e$t, de In$identibus in humido, ex quibus pauca no$tro in-
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parents:
diff changeset
1040 $erviunt propo$ito. Athana$ius Kircherus Societ. Je$u multa</I>
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parents:
diff changeset
1041 <MARG>Kircherus.</MARG>
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parents:
diff changeset
1042 <I>pa$$im hydraulica atque pnevmatica machinamenta in$erit $uis
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parents:
diff changeset
1043 docti$$imis libris, pr&aelig;$ertim de Arte Magnetica, de Lumine &amp;
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parents:
diff changeset
1044 Vmbra, de Con$ono &amp; Di$$ono, ac novi$$im&egrave; $uo incompara-
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parents:
diff changeset
1045 bili de &AElig;gyptiorum hieroglyphicis Operi quem Oedipum &AElig;gy-
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parents:
diff changeset
1046 ptiacuin in$crip$it: multa quoque inter eius Manu$cripta re-
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parents:
diff changeset
1047 peri, multa&qacute;ue oretenus ab eodem percepi. Augu$tinus Ra-</I>
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parents:
diff changeset
1048 <MARG>Ramellus.</MARG>
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parents:
diff changeset
1049 <I>mellus ingens $crip$it Opus de Machinis Italico &amp; Gallico idio-
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parents:
diff changeset
1050 mate, inter&qacute;ue illas ingentem habet copiam Antliarum diver$is
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parents:
diff changeset
1051 modis con$tructarum, alias&qacute;ue nonnullas praxes ad elevandas
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parents:
diff changeset
1052 aquas, $ed omnes tractori&aelig; $unt Machin&aelig; ad primum pertinen-
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parents:
diff changeset
1053 tes genus. Benedictus Castellus, olim Mathematicus Pon-</I>
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parents:
diff changeset
1054 <MARG>Ca$tellus.</MARG>
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parents:
diff changeset
1055 <I>tificius, libellum compo$uit Italico idiomate de aqua cur-
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parents:
diff changeset
1056 rente, $ed per alveos, aqu&aelig;ductus, &amp; tubos inclinatos; qu&aelig;
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parents:
diff changeset
1057 proinde ad nos non pertinent. Daniel Lip$torpius Lubecen$is</I>
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parents:
diff changeset
1058 <MARG>Lip$torpi'.</MARG>
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parents:
diff changeset
1059 <I>edidit Specimina Philo$ophi&aelig; Carte$ian&aelig;, in cuius parte</I> 3. <I>c.</I> 3.
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parents:
diff changeset
1060 <I>multas adducit Machinas hydraulico-pnevmaticas, easque
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parents:
diff changeset
1061 explicat ex Carte$ij principijs. Daniel Schvventerus, &amp; Ge-</I>
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parents:
diff changeset
1062 <MARG>Schvven-
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parents:
diff changeset
1063 terus.</MARG>
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parents:
diff changeset
1064 <I>orgius Philippus Harstorfferus Norimbergen$is Patritius, in</I>
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parents:
diff changeset
1065 <MARG>Har$torffe-
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parents:
diff changeset
1066 rus.</MARG>
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parents:
diff changeset
1067 <I>Delicijs Mathematicis multas afferunt, eas&qacute;ue iucundi$$imas
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parents:
diff changeset
1068 Machinas hydraulicas, &amp; pnevmaticas. Multas etiam in</I>
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parents:
diff changeset
1069 <pb n=10>
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parents:
diff changeset
1070 <MARG>Ga$par Ens</MARG>
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parents:
diff changeset
1071 <I>Thaumaturgo $uo Mathematico adducit ex alijs Ga$par Ens;</I>
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parents:
diff changeset
1072 <MARG>Wecker'.</MARG>
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parents:
diff changeset
1073 <I>vt &amp; Weckerus in $uis Secretis nonnullas ex Cardano de$um-</I>
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parents:
diff changeset
1074 <MARG>Cardanus.</MARG>
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parents:
diff changeset
1075 <I>ptas, quas dictus Cardanus in$erit $uis de $ubtilitate libris. E-</I>
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casties
parents:
diff changeset
1076 <MARG>Torricell<SUP>9</SUP>.</MARG>
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parents:
diff changeset
1077 <I>vangelista Torricellus, Magni Hetruri&aelig; Ducis Mathemati-
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parents:
diff changeset
1078 cus, &amp; Benedicti Ca$telli di$cipulus, $crip$it libros</I> 3. <I>de Motu
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parents:
diff changeset
1079 proiectorum; quorum $ecundo inter$erit nonnulla de motu a-
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parents:
diff changeset
1080 quarum per tubos, $ed qu&agrave;m $ubtilia, t&agrave;m parum ad praxin v-</I>
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casties
parents:
diff changeset
1081 <MARG>Galil&aelig;us.</MARG>
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casties
parents:
diff changeset
1082 <I>tilia, vt ip$emet fatetur. Galil&aelig;us Galil&aelig;i edidit Archimedem
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parents:
diff changeset
1083 rediviv&utilde;, quem ex latino Italic&utilde; fecit Ioa&ntilde;es Baptista Hodierna
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casties
parents:
diff changeset
1084 Siculus, Vir rerum Astronomicarum apprim&egrave; gnarus, &amp; $ide-
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parents:
diff changeset
1085 rum, adeoque Natur&aelig; totius $crutator indefe$$us, amicus&qacute;ue
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parents:
diff changeset
1086 $inceri$$imus. Opu$culum e$t ad Hydrostaticam pertinens;</I>
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casties
parents:
diff changeset
1087 <MARG>Ghetaldus.</MARG>
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casties
parents:
diff changeset
1088 <I>quale etiam e$t Archimedes promotus Marini Ghetaldi; vt &amp;</I>
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casties
parents:
diff changeset
1089 <MARG>Stevinus.</MARG>
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parents:
diff changeset
1090 <I>qu&aelig; habet Simon Stevinus; ideoque nobis nullam h&icirc;c $uppetunt
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parents:
diff changeset
1091 materiam. Georgius Agricola libro</I> 6. <I>de rebus metallicis in-</I>
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casties
parents:
diff changeset
1092 <MARG>Agricola.</MARG>
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casties
parents:
diff changeset
1093 <I>$erit nonnullas Machinas hydraulicas, nonnullas Robertus
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casties
parents:
diff changeset
1094 Valturius $uis de Militia libris, nonnullas Iacobus Be$$on Del-</I>
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casties
parents:
diff changeset
1095 <MARG>Valturius.
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casties
parents:
diff changeset
1096 Be$$on.</MARG>
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parents:
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1097 <I>phinas $uo de In$trumentis Mathematicis ac Mechanicis tracta-
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parents:
diff changeset
1098 tui; $ed omnes $unt tractori&aelig;, &amp; alien&aelig; &agrave; no$tro instituto. Ge-</I>
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casties
parents:
diff changeset
1099 <MARG>Valla.</MARG>
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parents:
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1100 <I>orgius Valla Placentinus libro</I> 15. <I>Expetendorum &amp; fugiendo-
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parents:
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1101 rum, qui e$t $extus Geometri&aelig;, $eu Spiritalium vnicus, multas
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parents:
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1102 habet Machinas Spiritales, $ed ad vnam omnes ex Herone Ale-
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parents:
diff changeset
1103 xandrino decerptas, n&egrave; nominato quidem Herone. Habebat
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casties
parents:
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1104 vir bonus, vt Io$ephus Ceredus te$tatur, Heronis librum gr&aelig;-
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casties
parents:
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1105 cum de Spiritalibus, nondum tunc &agrave; Federico Commandino,
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casties
parents:
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1106 aliov&egrave; Latinitati donatum, putabat&qacute;ue $ecur&egrave; atque impun&egrave; $e
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1107 po$$e in alienam me$$em mittere falcem $uam.</I>
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1108 <pb n=11>
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1109 <p><I>Hero Alexandrinus Auctor antiquus, gr&aelig;c&egrave; edidit libel-</I>
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1110 <MARG>Hero.</MARG>
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1111 <I>lum de Spiritalibus, in quo qu&aelig; ab antiquis (quos &AElig;gyptios
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1112 interpretatur Kircherus, vt $upr&agrave; dicebam) tradita in illo ge-
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1113 nere fu&ecirc;re, in ordinem redegit; &amp; qu&aelig; ip$emet invenit, expo-
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1114 $uit: qu&aelig; quidem omnia pulcherrima $unt, &amp; ingenio plena.
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1115 Idem Auctor ait $e quatuor libros con$crip$i$$e de aquaticis horo-
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1116 $copijs; quos tamen temporum iniquitas nobis invidit. De-</I>
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1117 <MARG>Hero Ale-
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1118 xandrinus
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1119 nud&atilde; pra-
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1120 xin hydrau
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1121 lico-pnev-
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1122 maticarum
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1123 Machina-
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1124 rum tradit.</MARG>
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1125 <I>$cribit autem Hero nudam praxim, nec vllibi pr&aelig;cepta &amp; regu-
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1126 las tradit, ni$i qu&ograve;d in principio de vacuo agat; ideoque &amp;
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1127 ip$e $ubinde errat, ($i tamen ip$ius, &amp; non Interpretis $unt er-
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1128 rores) &amp; alios in errorem inducit; nec omnia qu&aelig; promittit,
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1129 effectum $ortiuntur. E$t nihilomin&ugrave;s ip$e de Republica litteraria
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1130 egregi&egrave; meritus, &amp; vnicus qui ex antiquis de rebus hydraulicis</I>
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1131 <MARG>Eius Ma-
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1132 chin&aelig; n&otilde;-
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1133 null&aelig; qua-
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1134 re in hoc
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1135 Opere ad-
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1136 ducantur.</MARG>
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1137 <I>&amp; pnevmaticis $ua ad nos monumenta transmi$it. Reperies
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1138 in hoc Opere no$tro nonnullas ex ip$o de$umptas Machinas; quas
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diff changeset
1139 ideo adducimus, qu&ograve;d aliqu&aelig; indigent correctione, vtpote fal$&aelig;:
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diff changeset
1140 aliqu&aelig; explicatione, vtpote ob$curi&ugrave;s tradit&aelig;; aliqu&aelig; excu$a-
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1141 tione ac defen$ione, vtpote $ini$tr&acirc; ab alijs cen$ur&acirc; notat&aelig;; ali&aelig;
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1142 commendatione, vtpote no$trarum ectypa; ali&aelig; denique ad-
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1143 miratione, vtpote ingenio pleni$$im&aelig;. Heronem Latinum fe-
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1144 cit Federicus Commandinus Vrbinas; Italicum Joannes Ba-</I>
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1145 <MARG>Aleottus.</MARG>
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1146 <I>pti$ta Aleottus, qui &amp; in fine addidit quinque Problemata no-
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1147 va, $an&egrave; jucundi$$ima, pariterque ingenio$a.</I>
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1148 <p><I>Ioannes Bapti$ta Porta Neapolitanus tres latin&egrave; $crip$it</I>
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1149 <MARG>Port<*></MARG>
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1150 <I>egregios libellos de Spiritalibus, qui tamen pe$$imum nacti $unt
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1151 Interpretem Joannem E$crivanum Hi$panum, qui eos Italic&egrave;
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diff changeset
1152 at que Hi$panic&egrave; vertit; $ed c&ugrave;m Italicam linguam non calleret,</I>
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1153 <pb n=12>
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1154 <I>mirum e$t, qu&agrave;m barbarum vbique, qu&agrave;m ob$curum, qu&agrave;m
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diff changeset
1155 mutilum reddiderit optimum Auctorem. Addidit nonnulla
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parents:
diff changeset
1156 de $uo, oretenus &agrave; Porta, $ed mal&egrave; intellecta, &amp; pei&ugrave;s per$cri-
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parents:
diff changeset
1157 pta, it&aacute;que alienis permixta, vt di$cerni nequeant, ni$i cum
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diff changeset
1158 genuino comparentur partu. Tradit Porta Spiritalium prin-
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parents:
diff changeset
1159 cipia, tradit machinamenta multa; vtraque longis experi-
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diff changeset
1160 mentis, nec $ine expen$is, confirmata. Huic ego primas inter
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diff changeset
1161 omnes Spiritalium Scriptores dandas cen$eo. Latinum exem-
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parents:
diff changeset
1162 plar Neapoli impre$$um Anno</I> 1601. <I>innumeris $catet erroribus
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diff changeset
1163 typographicis, qui $en$um $&aelig;pe pror$us pervertunt. Idem Au-
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diff changeset
1164 ctor lib.</I> 18. <I>&amp;</I> 19. <I>Magi&aelig; Naturalis multas alias habet Machi-
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1165 nas Hydraulicas &amp; Pnevmaticas.</I>
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1166 <MARG>Balianus.</MARG>
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1167 <p><I>Joannes Bapti$ta Balianus Patritius Genuen$is, $cri-
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parents:
diff changeset
1168 p$it libros $ex de motu natural gravium &amp; liquidorum quorum
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parents:
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1169 tres vltimi $unt de liquidorum fluxu per canales &amp; foramina;
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parents:
diff changeset
1170 &egrave; quorum vltimo nonnulla in Protheoriam no$tram quartam</I>
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1171 <MARG>Leurechon</MARG>
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1172 <I>derivavimus. P. Ioannes Leurechon &egrave; Societ ate no$tra, Lo-
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1173 tharingus $crip$it gallico idiomate, tacito nomine $uo, Recreatio-
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1174 nes Mathematicas; quas deinde germanicas fecit Daniel</I>
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1175 <MARG>Ceredus.</MARG>
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1176 <I>Schvventer, latinas ver&ograve; Ga$par Ens. Io$ephus Ceredus,
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1177 Medicus Placentinus, $crip$it tres egregios di$cur$us de Cochle&aelig;
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1178 Archimed&aelig;&aelig; compo$itione &amp; vtilitate, ad elevandas magn&acirc;</I>
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1179 <MARG>Branca.</MARG>
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1180 <I>quantitate ac facilitate aquas. Ioannes Branca civis Roma-
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1181 nus, &amp; Architectus Lauretan&aelig; domus, librum $crip$it Italico
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1182 ac Latino $ermone de Machinis, quas inter mult&aelig; $unt hydrau-
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parents:
diff changeset
1183 lic&aelig;, &amp; nonnull&aelig; hydro-pnevmatic&aelig;, at pler&aelig;que fal$&aelig;, &amp; hy-</I>
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1184 <MARG>Mer$ennus</MARG>
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parents:
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1185 <I>dro-pnevmaticis principijs contrari&aelig;. Marinus Mer$ennus</I>
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1186 <pb n=13>
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1187 <I>$crip$it Ph&oelig;nomena hydraulica &amp; pnevmatica, multas&qacute;ue ex-
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parents:
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1188 perientias &agrave; $e in illa materia factas, ex quibu&sdot; multa deducit
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1189 docti$$ima&qacute;; Theoremata atque Problemata; &amp; nos no&ntilde;ulla ex</I>
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1190 <MARG>Cab&aelig;us.</MARG>
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1191 <I>ip$o in$eruimus quart&aelig; no$tr&aelig; Protheori&aelig;. Nicolaus Cab&aelig;us
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1192 Commentarijs $uis in Ari$totelis Meteora, nonnulla habet hy-</I>
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1193 <MARG>Bettinus.</MARG>
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1194 <I>draulica: nonnulla Marius Bettinus in Apiarijs Mathematicis
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1195 Apiario</I> 4. <I>Progymnas.</I> 1. <I>Nonnulla denique Petrus Herigo-
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1196 nius to.</I> 3. <I>Cur$us Mathematici tract. de Mechanica. Raphael</I>
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1197 <MARG>Herigoni'</MARG>
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1198 <I>Magiottus, Mathematicus Excellenti$$imus, Opu$culum $cri-</I>
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1199 <MARG>Magiottus</MARG>
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1200 <I>p$it Italicum de aqu&aelig; Renitentia compre$$ioni; in quo tradit
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1201 Experimentum novum, quod nos adducimus Part.</I> 2. <I>Cla$$e</I> 1.
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1202 <I>cap.</I> 5. <I>Machina</I> 6. <I>Robertus &agrave; Fluctibus in $ua Philo$ophia</I>
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1203 <MARG>Robertus
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1204 a Fluctibus</MARG>
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1205 <I>Mo$aica alijs&qtail; Operibus, multas pa$$im inter$erit Machinas, a-
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1206 li&acirc; occa$ione. Salomon &agrave; Caus $crip$it Gallico idiomate libros tres</I>
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1207 <MARG>Salomon &agrave;
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1208 Caus.</MARG>
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1209 <I>de hydraulicis quos ip$e de viribus motricibus intitulat: Opus
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1210 est egregium, in eoque theoria aliqualiter cum praxi conjungi-</I>
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1211 <MARG>Muretus.</MARG>
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1212 <I>tur. Theodorus Muretus, &egrave; Societate IESV, in Pragen$i Vni-
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1213 ver$itate Mathematic&aelig; Profe$$or, edidit Problema Mathema-</I>
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1214 <MARG>Vitruvius.</MARG>
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1215 <I>ticum de Fontibus. Vitruvius lib.</I> 8. <I>Architectur&aelig; cap.</I> 6 <I>&amp;</I> 7.
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1216 <I>agit de perductionibus &amp; librationibus aquarum, &amp; in$trumen-
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1217 tis ad hunc v$um; &amp; libro</I> 10. <I>varia habet in$trumenta hy-
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1218 draulica, at pleraque tractoria. Va$$or Arabs habet varias</I>
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1219 <MARG>Va$$or A-
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1220 rabs.</MARG>
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1221 <I>praxes Spiritales ad aquas in altum educendas: Liber e$t Ma-
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1222 nu$criptus, latinus, quem reperi inter libros P. Athana$ij Kir-
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1223 cheri, at mutilum, &amp; $ine figuris nece$$a<*>ijs: Su$picor e$$e
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1224 fragmentum Scriptoris cuiusdam Gr&aelig;ci antiqui, &agrave; Ua$$ore in
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1225 Arabicam, ab alio in Latinam linguam translatum. Edidi$-</I>
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1226 <pb n=14>
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1227 <I>$em vn&agrave; cum hoc Opere, $i oper&aelig; pretium me facturum judica$-
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1228 $em.</I>
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1229 <p><I>Hi $unt Auctores, qui de Hydraulicis atque pnevmati-
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1230 cis $crip$erunt, $eu ex profe$$o, $eu incidenter. Ex quibus ta-
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1231 men, $i Kircherum, Portam, Mer$ennum, aliosque nonnullos
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1232 excipias, pauci no$trum triverunt iter, &amp; vix vllus theoriam
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1233 cum praxi conjunxit; quod nos facimus. Aliorum Auctorum
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1234 nomina, qui vnam aut alteram Machinam $uis inter$erue-
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1235 runt Operibus, proferemus $uis locis: Cuiusmodi $unt Oron-</I>
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1236 <MARG>Fin&aelig;us.</MARG>
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1237 <I>tius Fin&aelig;us, &amp; Bonaventura Cavallerius, eximius vterque</I>
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1238 <MARG>Cavalleri'.</MARG>
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1239 <I>Mathematicus; quorum ille in fine tractatus de Horologijs
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1240 vnicam habet hydraulicam Machinam; hic alteram in fine
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1241 Exercitationis $ext&aelig; Geometric&aelig;; quarum vtram-
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1242 que nos infr&agrave; Parte</I> 2. <I>afferimus.</I>
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1243 <FIG>
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1244 <pb n=15>
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1245 <FIG>
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1246 <C>MECHANIC&AElig; HYDRAVLI-
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1247 CO-PNEVMATIC&AElig;</C>
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1248 <C>PARS PRIMA
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1249 THEORETICA,</C>
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1250 <C>De Machinarum Hydraulico-
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1251 pnevmaticarum principijs,
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1252 $eu fundamentis.</C>
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1253 <C>PRO&oelig;MIVM.</C>
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1254 <p><I>QUatuor reperio Machinarum Hydrau-</I>
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1255 <MARG>Principia
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1256 Machinar&utilde;
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1257 Hydrau-
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1258 lico-pnev-
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1259 maticar&utilde;
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1260 quatuor.</MARG>
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1261 <I>lico-pnevmaticarum principia, quibus
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1262 ab Arte animantur in motum, ill&oacute;sque
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1263 pr&aelig;stant effectus, quos tant&acirc; voluptate
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1264 miramur quotidie, tant&acirc; pa$$im experimur vtilita-</I>
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1265 <MARG>I. Attracti-
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1266 va vis ad
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1267 vacuum e-
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1268 vitand&utilde;.</MARG>
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1269 <I>te. Primum est vis Attractiva, ad vacuum vel fu-
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1270 giendum, velreplendum; qu&acirc; vi Aqua, elementu&mtail;</I>
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1271 <pb n=16>
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1272 <I>alioquingrave, iners, lentum, &amp; humi repens, tracta
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1273 accurrit non invita, vt videtur, $u&aelig;&queacute; oblita natur&aelig;
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1274 in $ublime nititur, tripudianti $imilis, vacui velrepl&etilde;-</I>
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1275 <MARG>II. Expul$i-
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1276 va vis ad
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1277 corporum
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1278 penetrati-
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1279 onem fu-
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1280 giendam:</MARG>
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1281 <I>di, vel impediendi caus&acirc;. Alterum est vis expul-
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1282 $iva, ad corporum penetrationem fugiendam; qu&acirc; vi
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1283 eadem Aqua, dum a&euml;ri alteriv&eacute; corpori valid&egrave; in-
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1284 cumbenticedere cogitur ho$pitio, expul$a fugam prori-
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1285 pit e&ograve; celeriorem, excel$ior&eacute;mque, qu&ograve; vehementiori-</I>
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1286 <MARG>III. Rarefa-
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1287 ctio &amp; con-
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1288 den$atio,
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1289 aquam vel
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1290 expellens,
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1291 vel attra-
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1292 hens.</MARG>
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diff changeset
1293 <I>bus $e$timulis agitatam $en$erit. Tertium est vis &lsquo;Ra-
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1294 refactiva; qu&acirc; ob$e$$um elementum in tantas $ubin-
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1295 de redigitur angustias, vt dum $e$e, qu&acirc; data porta,
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1296 vel $ubducit, vel ingerit, alas indui$$e videatur, abje-
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diff changeset
1297 ctis gravitatis propri&aelig; compedibus. Quartum de-</I>
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diff changeset
1298 <MARG>IV. Gravi-
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1299 tas aqu&aelig;
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1300 &aelig;quilibri-
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1301 um affe-
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1302 ctantis.</MARG>
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1303 <I>ni&queacute; estgravitas Aqu&aelig; naturalis, ad decliviora loca
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1304 tendentis, &amp; &aelig;quilibrium affectantis; qu&aelig; gravitas
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1305 non rar&ograve; (quod mir&ecirc;re) in altum attollit ip$am, quam
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1306 paul&ograve; ant&egrave; depre$$er at in profundum.</I>
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diff changeset
1307 <p><I>H&aelig;c quatuor principia qui applicare rit&egrave; nove-
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diff changeset
1308 rit, quaslibet ingenio$as Machinas, ad Natur&aelig; ne$cio
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1309 an &aelig;mulationem, an invidiamfabricari poterit faci-
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diff changeset
1310 litate $umm&acirc;, $ucce$$u infallibili; c&ugrave;m nulla Machina
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diff changeset
1311 hydraulica, aut pnevmatica, aut ex vtrisque mixta</I>
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diff changeset
1312 <pb n=17>
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diff changeset
1313 <I>ad$ignari po$$it qu&aelig; non aliqu&acirc; harumfacultatum in-</I>
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diff changeset
1314 <MARG>Ars vin<*>
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diff changeset
1315 Naturam
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diff changeset
1316 infontibus
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1317 producen-
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diff changeset
1318 dis.</MARG>
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diff changeset
1319 <I>$tituatur. Jm&ograve; multis par a$angis Natur&aelig; $uper abit co-
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diff changeset
1320 natus</I> <G>u(dro texni/ths</G>. <I>Natura etenim non ni$i vno motus
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diff changeset
1321 principio aquas terr&acirc; eijcit, at&que; in fontes efformat, na-
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diff changeset
1322 turali videlicet fluxu aqu&aelig; de$cend&etilde;tis prim&utilde;, ac de-
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diff changeset
1323 inde a$cendentis: at ver&ograve; Ars non vno, $ed multiplici,
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diff changeset
1324 vt dixi, $cilicet $uctu $eu attractione, pre$$ione, dila-
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diff changeset
1325 tatione, pr&aelig;cipitatione: queis artibus, vel poti&ugrave;s $tra-
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diff changeset
1326 tagematis, in valles, in montes, in hortos, in domos de-
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1327 ducit, non fontes tantummod&ograve;, $ed machinamenta a-
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diff changeset
1328 lia varia, jucunda, ac pror$us</I> <G><*>aumasiw/tata</G>, <I>aliorum vel
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diff changeset
1329 nece$$itati, vel vtilitati, vel delectationi: Veri$$imum
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diff changeset
1330 quippe est illud Antiphontis,</I> <G>te/xnh| ga/r xra<*>men, w(_n fu/sei nixai/-
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diff changeset
1331 meda</G>. <I>At h&aelig;c ip$a quatuor hydro-pnevmaticarum
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diff changeset
1332 Machinarum principia $eu fundamenta, antequam
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diff changeset
1333 vlteri&ugrave;s progrediamur, paul&ocirc; fu$i&ugrave;s explicare
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diff changeset
1334 lubet, vt $ecuri&ugrave;s deinde in praxi pro-
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diff changeset
1335 cedamus.</I>
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1336 <pb n=18>
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1337 <C>Pars I.</C>
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1338 <FIG>
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1339 <C>PROTHEORIA
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diff changeset
1340 PRIMA</C>
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1341 <C>De vi attractiva Corporum, ad vacuum vel
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diff changeset
1342 replendum, vel fugiendum: $eu de primo Machi-
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diff changeset
1343 narum hydro-pnevmaticarum principio.</C>
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1344 <MARG><I>Vacu&utilde; Phi-
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diff changeset
1345 lo$ophorum
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diff changeset
1346 alij admit
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diff changeset
1347 tunt, alij
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diff changeset
1348 respuunt.</I></MARG>
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1349 <p>VAcuum appellat vulgus quodlibet vas, aut lo-
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1350 cum, in quo nullum cernunt vi$ibile corpus, etiam$i
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diff changeset
1351 a&euml;re $int plena. At Philo$ophi <I>Vacuum</I> definiunt <I>locum
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diff changeset
1352 nullo repletum corpore.</I> Hoc po$terius, quod $ol&utilde; vacui
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diff changeset
1353 nomen meretur propri&egrave;, non tam invi$um Natur&aelig; e$t vi$um De-
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diff changeset
1354 mocrito, Leucippo, Epicuro, alijsque, vt eliminandum penitus
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diff changeset
1355 cen$uerint &egrave; rerum cen$u. Alij ver&ograve; pleri&qacute;ue Philo$ophi cum
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diff changeset
1356 Stagyrita $uo adeo Natur&aelig; adver$um, adeo pernicio$um exi$ti-
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diff changeset
1357 mant Vacuum, vt ad evitandum ip$um dicant, eandem Natur&atilde;
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diff changeset
1358 null&utilde; non movere lapid&etilde;, &amp; omnia $usq; de&qacute;ue vertere corpora,
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1359 ip$a&qacute;ue permi$cere elementa. Qui de hydraulicis, pnevma-
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diff changeset
1360 ticis&qacute;ue tractant Machinis, vnanimi con$en$u fatentur omnes
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1361 <MARG><I>Attractiva
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1362 vis ex appe-
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1363 <*>itu vacui
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1364 vel replen-
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1365 di, vel fu-
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1366 giendi ori-
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1367 tur in Ma-
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1368 chinis hy-
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1369 dro-pnev-
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1370 maticis.</I></MARG>
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1371 ($i Lip$torpium cum Carte$io $uo excipias) vim attractivam,
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1372 quam in Machinis nonnullis aperti$$im &egrave; elucere videmus, aliun-
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1373 de non provenire, ni$i qu&ograve;d Aqua, &amp; A&euml;r, Natur&aelig; ob$ecunda-
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1374 turi, accurrant tracti $eu $ponte, $eu invit&egrave;, vel ad replendum va-
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1375 cuum quod oderunt, vel ad impediendum quod timent. Vtra-
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1376 que igitur $ententia, &amp; qu&aelig; vacuum recipit, &amp; qu&aelig; rejicit, Hy-
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1377 draulicorum ac Pnevmaticorum Artificibus favet; ac proinde
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1378 ex vtrius que placitis vis attractiva pr&aelig;dicta e$t explicanda.
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1379 <pb n=19>
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1380 <C>Protheoria I.</C>
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1381 <C>&sect;. I.</C>
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1382 <C>Hero Alexandrinus Vacuum in a&euml;re &amp; aqua
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1383 di$seminatum agno$cit.</C>
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1384 <p>HEro Alexandrinus, $imul Spiritalium Magi$trum agens, $i-
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1385 <MARG><I>Hero vacu-
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1386 um admit-
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1387 tit in a&euml;re
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1388 &amp; aqua di$
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1389 $eminatum</I></MARG>
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1390 mul Democritici, Epicurei&qacute;ue Philo$ophi per$onam, prio-
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1391 rem de Vacuo $ententiam doct&egrave; non min&ugrave;s qu&agrave;m fus&egrave; explicat,
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1392 atque tuetur, in Pr&aelig;fatione Libelli $ui de Pnevmaticis $eu Spi-
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1393 ritalibus, vbi ait<I>: Alij enim vniv&euml;rs&egrave; nullum omnino vacuum e$$e
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1394 affirmant; alij coacervatum quidem natur&acirc; nullum e$$e vacuum, $ed
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1395 $ecund&ugrave;m exiguas partes di$$eminatum in a&euml;re, humido, &amp; ig<*> alijsque
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1396 corporibus; quibus maxim&egrave; a$$entiri convenit.</I> Vacuum coacerva-
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1397 tum veteres vocabant <G>a)<*>n</G>, di$$eminatum ver&ograve; <G>parespa<*>me/non</G>, vt
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1398 notat Petrus Ga$lendus in Philo$ophia Epicuri; &agrave; quo Epicuro
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1399 <MARG><I>Epicuriu
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1400 vacuum ad
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1401 mittit.</I></MARG>
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1402 Hero $ontentiam $uam mutuatus e$t. <G>*alla\ me\n</G>, inquit Epicurus
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1403 Epi$tola ad Herodot&utilde;, <G>kai\| to\ pa_n e)si\ ph_ me/n *sw_ma, ph_| de\ xeno\n</G> <I>vniver$um
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1404 autem partim quidem Corpus, partim ver&ograve; inane e$t.</I>
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1405 <p>Suam porr&ograve; de vacuo $ententiam Hero tot probat rationi-
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1406 bus &amp; experientijs, vt demon$tratam exi$timet, easque dignas
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1407 cen$uit Marinus Mer$ennus, quas Hydraulicis $uis pr&aelig;mitteret
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1408 <MARG><I>Va$a ina-
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1409 nia a&euml;re e$$e
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1410 plena, vari-
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1411 is probatur
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1412 experimen-
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1413 tis.</I></MARG>
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1414 Ph&oelig;nomenis. Ac principio quidem o$tendit Hero. <I>Va$a, qu&aelig;
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1415 multis vacua videntur,</I> e&ograve; qu&ograve;d nullum in ijs vi$ibile deprehen-
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1416 dunt Corpus, <I>non e$$e vacua, vt putant, $ed a&euml;re plena.</I> Quod
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1417 quidem patet ex eo, inquit Hero, qu&ograve;d <I>$i vas, quod vacuum vide-
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1418 tur, quis inver$um in aquam depre$$erit, rectumque $ervarit, aqua in
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1419 ip$um non ingredietur, quamvis totum occultatum fuerit.</I> Vtique
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1420 non alia de Cau$a, ni$i quia a&euml;r, cum Corpus $it, &amp; totum vas
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1421 occupet, non permittit aquam ingredi, vt ip$emet $ubjungit.
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1422 Idem patetin phialis vitreis, ollis, alijsque va$is, $i inver$a aquis
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1423 immergantur: non enim ni$i difficulter admodum demergun-
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1424 tur; &amp; dum retrahuntur, latera interiora habent $icca; non ob
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1425 aliud profect&ograve;, ni$i quia inclu$us a&euml;r ingre$$um prohibuit aqu&aelig;.
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1426 <p>Qu&ograve;d $i pr&aelig;dictorum Va$orum inver$orum aquis immer-
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1427 $orum <I>fundum quis perforet, aqua quidem per os demer$um in ip$a in-
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1428 gredietur, a&euml;r ver&ograve; per foramen exibit,</I> adeo manife$t&egrave;, vt non $o-
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1429 <pb n=20>
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1430 l&ugrave;m manui admot&aelig; $en$um inferat, $ed etiam aures $ono de-
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1431 mulceat, &amp; quidem harmonico, $i foramini aptentur fi$tul&aelig;
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1432 $ono Harmonico edendo apt&aelig;, prout ip$emet Hero fieri
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1433 jubet in multis, quas de$cribit in citato Libello, hydraulicis at-
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1434 que pnevmaticis Machinis. Quod etiam quotidie experimur
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1435 in Hortis Romanis, Tu$culanis, Tiburtinis, &amp; in ip$o etiam
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1436 P. Athana$ij Kircheri mu$eo. <I>Non igitur <*>rbitrandum e$t,</I> infert
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1437 Hero, <I>in his qu&aelig;$unt, vacui naturam quandam coacervatam ip$am per-
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1438 $e ip$am exi$tere $ed$ecund&ugrave;m exiguas partes in a&euml;re, &amp; humido, alijsque
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1439 corporib<*> di$$eminatam,</I> etiam in ip$o adamante, duri$$imo licet,
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1440 den$i$$<*>oque, <I>quippe qui neque igniri, neque rumpi pote$t, &amp; percu$-
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1441 <MARG>Adamas i-
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1442 gni &amp; mal-
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1443 len cedit.</MARG>
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1444 $us in incudes &amp; malleos totus ing reditur</I> (vt cum Pl<*>io putat Hero;
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1445 quod tamen, Mer$enno te$te, experienti&aelig; repugnat, nam ictu
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1446 mallei in varias partes di$$ilit, &amp; ita pote$t iguiri, vt pereat.<I>) Hoc
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1447 aut&etilde; ip$iaccidit,</I> $ubiungit Hero, <I>non qu&ograve;d vacuo careat, $ed ob conti-
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1448 nuatam den$itatem.</I> Corpora porro illa (a&euml;ris pr&aelig;$ertim) qu&aelig;
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1449 partes $uas habent inter $e$e coh&aelig;rentes, <I>non&verbar;tamen ex omni parte,
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1450 $ed interiecta habent inter valla qu&aelig;dam vacua,</I> (qu&aelig; vacuola appel-
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1451 lat Mer$ennus) bell&egrave; comparat Hero arenarum cumulo, inter
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1452 <MARG><I>Vacuola He
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1453 ronis inter
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1454 a&euml;ris parti-
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1455 culas de$$e-
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1456 minata.</I></MARG>
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1457 cuius grana mult&aelig; a&euml;ris particul&aelig; intercedunt; aitque, aren&aelig; par-
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1458 ticulas particulis a&euml;ris $imiles e$$e, a&euml;r&etilde; ver&ograve;, qui inter arenas in-
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1459 terjicitur, $imilem vacuolis intra a&euml;rem contentis; qu&aelig; quidem
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1460 vocuola tunc di$inere putat in a&euml;re (alijsque corporibus) c&ugrave;m
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1461 accedente vi quapiam conden$atur a&euml;r; redire ver&ograve;, c&ugrave;m facta
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1462 remi$$ione in pri$tinum ordinem re$tituitur a&euml;r ob naturalem
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1463 contentionem, qu&acirc;, velut arcus inflexus, aut $icca $pongia vi
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1464 pre$$a, molem ab ip$o rerum conditu $ibi tributam repetit, $ta-
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1465 <MARG><I>A<*>mterie
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1466 Ha habens
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1467 vacua $ec&utilde;-
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1468 dum Hero-
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1469 nem compa
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1470 <*>atur are-
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1471 n&aelig;.</I></MARG>
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1472 tim atque vis externa de$init. <I>At a&euml;ris corpora,</I> inquit Hero, <I>inter
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1473 $e$e quidem coh&aelig;rent, non tamen ex omni parte, $edinteriecta habent
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1474 intervalla qu&aelig;dam vacua, $icut arena, qu&aelig; e$t in littoribus. Itaque a-
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1475 nimo concipiendum e$t, aren&aelig; particulas corporibus a&euml;ris $imiles e$$e, a&euml;-
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1476 rem vero, qui inter particulas aren&aelig; interiicitur, $imilem vacuis intra
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1477 a&euml;rem contentis. Quamobrem vi quadam accedente &auml;erem den$ari con-
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1478 tingit, &amp; in vacuorum loca re$idere, corporibus pr&aelig;ter naturam inter
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1479 $e$e compre$$is: remi$sione ver&ograve; fact&acirc;rar$us in cun dem ordinem re$titui-</I>
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1480 <pb n=21>
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1481 <I>tur, ob naturalem Corporum contentionem; quemadmodum &amp; in cor-
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diff changeset
1482 nuum ramentis, &amp; in $pongiis $iccis, qu&aelig;$i compre$$a remittantur, rur-
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1483 $us in cundem locum redeunt, eandem que accipiunt molem. Similiter
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diff changeset
1484 $i aliqua vi a&euml;ris particul&aelig; &agrave; $e in vicem di$tract&aelig; fuerint, &amp; maior pr&aelig;-
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1485 ter naturam locus vacuus fiat, rur$us ad $e$e recurrunt, per vacuum e-
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1486 nim celerem corporum lationem fieri contingit, nullo ob$tunte, aut re-
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1487 pellente, qu&oacute;usque corpora ad $e$e applicentur.</I>
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1488 <C>&sect;. II.</C>
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1489 <C>Experimenta quibus Hero vacuum in Corpo-
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1490 ribus di$$eminatum probat.</C>
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1491 <MARG><I>Argumeta
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1492 Heronis pro
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diff changeset
1493 vacuo.</I></MARG>
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1494 <p>HIs pr&aelig;mi$$is, multa, &amp; pa$$im obvia adducit experimenta
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1495 <MARG><I>Vacuum in
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1496 corporibus
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1497 di$$eminat&utilde;
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1498 experimen-
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1499 tis probat
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diff changeset
1500 Hero.</I></MARG>
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diff changeset
1501 Hero, quibus probat dari vacuum inter corporum, a&euml;ris pr&aelig;-
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diff changeset
1502 $ertim, particulas di$$eminatum; &amp; aquam, alia&qacute;ue corpora ad
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diff changeset
1503 illud replendum, $i nimi&ugrave;m di$trahantur particul&aelig; vi extern&acirc;, ac-
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1504 currere attracta; atque adeo vim attractivam, quam primum
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diff changeset
1505 hydro pnevmaticarum Machinarum principium e$$e diximus,
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diff changeset
1506 tribuit Vacuo inter corpora di$$eminato.
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1507 <p>Prim&ograve; enim, <I>$i quis vas levi$$imum &amp; angu$ti oris a$$umens,
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1508 <MARG>Va$a ex$u-
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1509 cto a&euml;re la-
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1510 bior&utilde; car-
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1511 nes attra-
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diff changeset
1512 hunt.</MARG>
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1513 atque ori admovens a&euml;rem ex$uxerit, dimi$erit&que;; ex labiis $tatim vas
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1514 appendetur, vacuo carnem attrahente, vt locus exinanitus repleatur.</I>
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1515 <p>Secund&ograve;. <I>Ova medica, qu&aelig; ex vitro con$tant, &amp; angu$ti $unt
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diff changeset
1516 oris, quando volunt humido replere, ex$ugentes ore a&euml;rem, qui in ip$is
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1517 <MARG>Ova medi-
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1518 ca quomodo
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1519 repleantur
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diff changeset
1520 aqu&aacute;.</MARG>
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1521 continetur, o$culumque digito comprehendentes, in humidum in ver-
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1522 tunt, &amp; digito remi$$o in locum exin anitum attrahitur aqua, atque id-
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1523 ip$um humidum pr&aelig;ter naturam $ur$um fertur.</I> Idem contingit in
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diff changeset
1524 Siphonibus, qui ex$ucto a&euml;re humidum &egrave; va$is hauriunt, vt quo-
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diff changeset
1525 tidiana docet experientia, &amp; dicemus fus&egrave; infr&agrave; Protheoria 4.
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1526 Cap. 2. Idem in multis Machinis hydraulicis, aut pnevmaticis e-
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1527 venit, vt $uo loco videbimus.
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1528 <p>Tert&ograve;, Cucurbit&aelig; &agrave; Chirurgis igni pri&ugrave;s admot&aelig;, vt a&ecirc;r
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1529 <MARG><I>Cucurbitu-
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1530 la cur car-
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1531 nem attra-
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1532 hant.</I></MARG>
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1533 in ip$is contentus rarefiat, dum corpori applicantur, <I>non $ol&ugrave;m
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1534 non excidunt, manife$tam gravitatem habentes, $ed adiacentem ma-
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diff changeset
1535 teriam per corporis raritates attrahunt, eandem ob cau$am,</I> vt $cilicet
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1536 <pb n=22>
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1537 locus exinanitus repleatur: <I>iniectus enim ignis,</I> $ubjungit Hero,
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1538 <I>corrumpit &amp; extenuat a&euml;rem, qui in ip$is continetur,</I> ideoque relin-
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1539 quitur in ip$is vacuum; <I>c&ugrave;m ver&ograve; cucurbitula re$piraverit; a&euml;r in e-
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1540 vacuatum locum $uccedit, materi&acirc;non ampli&ugrave;s attract&acirc;,</I> decidit&qacute;ue
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1541 cucurbitula.
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1542 <MARG><I>Sph&aelig;ra con-
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1543 cava, &amp; a&euml;-
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1544 replena, cur
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1545 pl&ugrave;s <*>ris
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1546 per inflatio-
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1547 nem recipi-
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1548 at $ecund&utilde;
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1549 Heronem.</I></MARG>
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1550 <p>Quart&ograve;, <I>con$truatur Sph&aelig;ra cra$$itudinem habens lamin&aelig;, vt n&egrave;
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1551 facil&egrave; rumpatur, continensque circiter cotylas octo, &amp; vndique pr&aelig;clu-
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1552 $a;</I> &amp; per foramen in ip$a factum immittamus <I>Siphonem &aelig;reum,
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1553 hoc e$t, tubum gracilem, non contingentem locum, qui puncto perfora-
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1554 to $ecund&ugrave;m diametrum opponitur, ita vt aqua fluere po$$it; alia autem
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1555 ip$ius pars extra $ph&aelig;ram emineat circiter digitos tres, ip$i&queacute; diligenter
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1556 adferruminetur, ambitu foraminis circa tubum $tanno pr&aelig;clu$o, vt c&ugrave;m
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1557 volumus ore per $iphonem inflare, $piritus ex $ph&aelig;r&acirc; nullo modo excidat.</I>
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1558 His factis,, <I>in$piciamus qu&aelig; contingunt. A&euml;re enim in ip$a exi$tente</I>
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1559 (quemadmodum &amp; in aliis va$is qu&aelig; vacua appellantur) <I>totum-
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1560 que qui in ipsa locum replente, &amp; per continuationem quandam ad eius
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1561 ambitum applicato, nullo denique loco, ut arbitrantur, penitus exi$ten-
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1562 te vacuo; neque aquam immittere po$$emus, neque alium a&euml;rem, non
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1563 excedente priori a&euml;re qui in ipsa erat; &amp; $i multa vi immi$$ionem facia-
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diff changeset
1564 mus, pri&ugrave;s di$rumpetur vas, qu&agrave;m aliquid $u$cipiat, c&ugrave;m plenum $it: ne-
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parents:
diff changeset
1565 que enim a&euml;ris corpora in minorem magnitudinem contrahi po$$unt:
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parents:
diff changeset
1566 quare nece$$e erit, vt in $eip$is habeant qu&aelig;dam intervalla, in qu&aelig; com-
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parents:
diff changeset
1567 pre$$a minorem obtineant molem; hoc autem veri$imile non e$t, nullo
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diff changeset
1568 penitus exi$tente vacuo: &amp; c&ugrave;m corpora ad $e$e applicentur $ecund&ugrave;m
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parents:
diff changeset
1569 omnes $uperficies, &amp; $imiliter ad va$is ambitum, non po$$unt expul$a lo-
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parents:
diff changeset
1570 cum alicui facere, non exi$tente vacuo aliquo, quamobrem nullo modo
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parents:
diff changeset
1571 in $ph&aelig;ram immittetur aliquid eorum, qu&aelig; $unt extra, ni$i excedat ali-
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parents:
diff changeset
1572 qua pars a&euml;ris pri&ugrave;s in ea contenti, $iquidem totus locus con$tipatus est,
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parents:
diff changeset
1573 &amp; continuatus, vt arbitrantur. At</I> experienti&acirc; con$tat contrari-
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parents:
diff changeset
1574 um: nam <I>$i quis $iphonem ori admovens $ph&aelig;raminflet, multum im-
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parents:
diff changeset
1575 mittit $piritum, non excedente a&euml;re, qui in ea e$t. Quod c&ugrave;m ita $em-
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parents:
diff changeset
1576 per contingat; manife$t&ograve; o$tenditur, contraction&etilde; fieri corpor&utilde; in $ph&aelig;ra
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parents:
diff changeset
1577 exi$tentium in vacua implicata: contractio autem pr&aelig;ter naturam fit,
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parents:
diff changeset
1578 ob immi$$ionis violentiam. Si igitur aliquis infla<*>, &amp; ad ip$um os ma-
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parents:
diff changeset
1579 num apponens, $tatim digito $iphonem obturet; manebit omni tempore</I>
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parents:
diff changeset
1580 <pb n=23>
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parents:
diff changeset
1581 <I>con$tipatus a&euml;r in $ph&aelig;ra: quod$i quis aperiat, rur$us extra erump<*>t cum
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parents:
diff changeset
1582 <*>agno $trepitu &amp; clamore immi$$us a&euml;r, propterea qu&ograve;d, vt propo$uimus,
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parents:
diff changeset
1583 expellitur &agrave; dilatatione pr<*>exi$tentis a&euml;ris impetu quodam fact&acirc;.</I>
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parents:
diff changeset
1584 <p>Quint&ograve;, <I>$i quis velit a&euml;rem, qui in Sph&aelig;ra e$t, per $iphonem at-
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parents:
diff changeset
1585 <MARG>Sph&aelig;ra con
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parents:
diff changeset
1586 cava ex$u-
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parents:
diff changeset
1587 cto a&euml;re, va
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parents:
diff changeset
1588 cua conti-
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parents:
diff changeset
1589 net inter-
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parents:
diff changeset
1590 valla $ec&utilde;-
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parents:
diff changeset
1591 dum Hero-
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parents:
diff changeset
1592 nem.</MARG>
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parents:
diff changeset
1593 trahere, magna copia con$equetur, null&acirc; ali&acirc;$ub$tanti&acirc; in $ph&aelig;ram $uc-
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parents:
diff changeset
1594 cedente, quemadmodum in ovo ant&egrave; dictum e$t. Quare ex hoc per $pi-
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parents:
diff changeset
1595 cu&egrave; o$tenditur, magnam vacui coacervationem in $ph&aelig;ra factam e$$e:
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parents:
diff changeset
1596 non enim a&euml;ris corpora, qu&aelig;relinquuntur eo tempore, maiora fieri po$-
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parents:
diff changeset
1597 $unt, ita vt expul$orum corporum locum repleant: nam$i augerentur,
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diff changeset
1598 c&ugrave;m nulla ip$is $ub$tantia extrin$ecus accedat, veri$imile e$$et, augmen-
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parents:
diff changeset
1599 tum fieri per rarefactionem; hoc autem e$$et implicatio $ecund&ugrave;m eva-
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parents:
diff changeset
1600 cuationem; $ed vacuum nullum e$$e dicunt; non igitur augebuntur Cor-
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parents:
diff changeset
1601 pora; neque enim aliud augmentum ip$is accidere mente concipi pote$t.
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diff changeset
1602 Ex quibus per $picuum e$t, in a&euml;ris corporibus di$$eminata e$$e qu&aelig;dam
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parents:
diff changeset
1603 vacua intermedia, &amp; vi quadam adveniente ea pr&aelig;ter naturam in va-
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diff changeset
1604 cua reclinare.</I>
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diff changeset
1605 <p>Sext&ograve;, <I>vacuis non exi$tentibus, neque per aquam, neque per
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diff changeset
1606 <MARG>Corpora &amp;
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diff changeset
1607 qualitates
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parents:
diff changeset
1608 corpore&aelig;, pe-
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parents:
diff changeset
1609 netrant a-
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parents:
diff changeset
1610 lia corpora,
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parents:
diff changeset
1611 $ecund&ugrave;m
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parents:
diff changeset
1612 Heronem,
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parents:
diff changeset
1613 propter va-
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parents:
diff changeset
1614 cua interie-
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parents:
diff changeset
1615 cta.</MARG>
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parents:
diff changeset
1616 a&euml;rem, neque per aliud corpus vllum po$$et lumen tranfire, aut calidit as,
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parents:
diff changeset
1617 aut alia potentia</I> $eu qualitas <I>corporea. Nam quomodo radij $olares
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parents:
diff changeset
1618 per aquam in fundam va$is penetrarent? Si enim aqua non haberet
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parents:
diff changeset
1619 poros, $ed radij aquam vi $cinderent, contingeret vasa plena $uperfun-
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parents:
diff changeset
1620 di; quod fieri non videmus: Ad h&aelig;c $i aquam vi $cinderent, non vti-
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parents:
diff changeset
1621 que radiorum alij ad$uperiorem locum frangerentur, alij deor$um cade-
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parents:
diff changeset
1622 rent: nunc autem quicunque aqu&aelig; particulis occurrunt, franguntur ad
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parents:
diff changeset
1623 $uperiorem locum; quicunque ver&ograve; incidunt in aqu&aelig; vacua, paucis par-
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parents:
diff changeset
1624 ticulis occurrentes in va$is fundum pervadunt.</I> Adde qu&ograve;d $i nulla
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parents:
diff changeset
1625 e$$ent in corporibus vacua, nullum corpus per alia corpora tran-
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parents:
diff changeset
1626 $ire po$$et: quod tamen oleis contingit, quorum aliqua tam $ub-
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parents:
diff changeset
1627 tilia, $unt vt omnia metalla, ip$um&qacute;; eti&atilde; vitrum penetrent. Idem
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parents:
diff changeset
1628 etiam fieri ab igne, nemo ne$cit, qui ferrum, aurum, &amp; vitrum
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parents:
diff changeset
1629 candentia vidit. Idem pr&aelig;terea &agrave; virtute magnetica fieri, quo-
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parents:
diff changeset
1630 tidie experimur.
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parents:
diff changeset
1631 <MARG><I>Vinum mi-
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parents:
diff changeset
1632 $cetur aqu&aelig;
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casties
parents:
diff changeset
1633 ob inte<*>er
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casties
parents:
diff changeset
1634 $a vacua
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casties
parents:
diff changeset
1635 <*>uxta He-
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casties
parents:
diff changeset
1636 ronem.</I></MARG>
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parents:
diff changeset
1637 <p>Septim&ograve;, <I>Vinum in aquam iniectum videtur $ecund&ugrave;m fu$io-
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parents:
diff changeset
1638 nem quandam per totum aqu&aelig; locum per meare; quod non fieret, ni$i va-
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parents:
diff changeset
1639 cua aqu&aelig; ine$$ent. Lumen quoque alterum per alterum fertur: nam</I>
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parents:
diff changeset
1640 <pb n=24>
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parents:
diff changeset
1641 <I>c&ugrave;m plures lucernas quis accenderit, omnia magis illu$tr abuntur, ijsdem
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parents:
diff changeset
1642 quoqu&ograve; ver$us per $e invicem penetrantibus. Sed &amp; per &aelig;s, per ferrum,
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parents:
diff changeset
1643 &amp; per alia corpora omnia penetratio fit; quemadmodum &amp; quod in tor-
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parents:
diff changeset
1644 pedine marina contingit.</I>
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parents:
diff changeset
1645 <MARG><I>Argumen-
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parents:
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1646 ta aliorum
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parents:
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1647 <*>o vac<*>o.</I></MARG>
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parents:
diff changeset
1648 <p>H&aelig; $unt rationes Heronis, quibus probat. <I><*>mne corpus ex
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casties
parents:
diff changeset
1649 tenuibus con$tare corporibus, inter qu&aelig;$unt vacua di$$eminata particulis
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parents:
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1650 minora.</I> Quibus addi pote$t vlteri&ugrave;s, qu&ograve;d eadem vacuola vi-
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casties
parents:
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1651 dentur admittenda inter aqu&aelig; partes frigore con$trictas in gla-
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parents:
diff changeset
1652 ciem: etenim aqua in congelatione ad maius intervallum occu-
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diff changeset
1653 pandum extenditur; va$a enim licet ben&egrave; compacta, $i&agrave; $inu
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diff changeset
1654 latiori in angu$tum a$$urgant, &amp; repleantur aqu&acirc; ad maximam il-
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diff changeset
1655 lam latitudinem, vel vltra; in congelatione diffringuntur: non
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diff changeset
1656 $ic, $i infra illam latitudinem repleantur, vtdilatationi $pati&utilde; de-
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diff changeset
1657 tur. In maioribus etiam va$is, $ed recurvo intus labro, validius
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diff changeset
1658 re$i$tentibus, ip$a glacies curvatur, $ur$um $ecund&ugrave;m convexum
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diff changeset
1659 elevata. Omnis etiam glacies aqu&aelig; iniecta $uperna<*> Dila-
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diff changeset
1660 tatur ergo in congelatione aqua, &amp; vacuitates parvas intus ha-
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1661 bet.
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1662 <p>Addi pr&aelig;terea in confirmationem dictorum pote$t duplex
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diff changeset
1663 Experimentum, vnum argenti vivi, alterum aqu&aelig; tubo inclus&aelig;;
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1664 de quibus agemus infr&agrave; Cla$se 1. cap. 6. Machina 7. Item expe-
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diff changeset
1665 rimentum Thermo$copij, de quo ibidem cap. 3. Mach 3.
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1666 <MARG><I>Vis attra-
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1667 ctiva quo-
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1668 modo ab He
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1669 rone expli-
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1670 cetur.</I></MARG>
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1671 <p>Ex his alijsque argumentis atque experimentis, qu&aelig; vide-
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1672 ri po$$unt apud alios, pr&aelig;$ertim Neotericos no&ntilde;ullos, c&otilde;$tare po-
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diff changeset
1673 te$t, quomodoex Heronis &amp; eor&utilde; $ententia, qui vacu&utilde; admittunt,
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1674 Natura adnitatur trahere alia corpora, aquam pr&aelig;$ertim &amp; a&euml;-
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diff changeset
1675 rem, ad vacuum replendum, quod vi extrin$eca pr&aelig;ter naturam
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diff changeset
1676 e$t alicubi coacervatum; &amp; quomodo corporibus omnibus in-
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diff changeset
1677 $it vis qu&aelig;dam attractiva, vt repleant vacuum illud; ac denique
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diff changeset
1678 quomodo vis attractiva corporum, aqu&aelig; inquam &amp; a&euml;ris, cau$a
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1679 e$$e po$$it ac principium Machinarum hydro-pnev-
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diff changeset
1680 maticarum. Lege Heronis Spiritalia.
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1681 <pb n=25>
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1682 <C>&sect;. III.</C>
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1683 <C>Experimenta quibus vacuum nullum e$$e
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1684 probatur</C>
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1685 <p>HIs tamen non ob$tantibus, communior &amp; $anior Philo$o-
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1686 <MARG><I>Argumen-
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1687 ta contra
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diff changeset
1688 vacuum.</I></MARG>
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1689 phorum Veterum ac Recentiorum $en$us e$t, nullum in re-
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diff changeset
1690 rum natura vacuum e$$e, neque coacervatum in vnum, neque
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1691 di$$eminatum inter partes corporum di$ci$$as; &amp; neque $pont&egrave;
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diff changeset
1692 ortum, neque productum violenter; adeoque corporum tra-
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diff changeset
1693 ctionem, qu&aelig; in allatis Experimentis elucet, non fieri ad replen-
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1694 dum vacuum, quod nullible$t, neque e$$e pote$t; $ed ad impe-
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diff changeset
1695 diendam, quam Natura tantopere abhorret, inanitatem. Sua-
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diff changeset
1696 dent h&aelig;c tum experientia Philo$ophi&aelig; Magi$tra, tum rationes.
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1697 Experientias adducam paucas ex multis; rationes apud alios
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1698 leges.
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diff changeset
1699 <p>Prim&ograve;, Latera follium, $i arct &egrave; con$tricta $int, &amp; inter $e
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1700 <MARG><I>Latera fol-
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1701 lium diauci
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1702 non po$$unt,
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1703 ore occlu$e,
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1704 ob metum
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1705 vacus.</I></MARG>
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1706 contigua, nulla vi diduci po$$unt, etiam Angelica, $i obturetur
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diff changeset
1707 orificium, per quod a&euml;r inter iectum inter diducenda latera $pa-
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1708 tium occupaturus $ubeat. Cur hoc, ni$i quia vacuum dari non
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1709 pote$t? quod tamen dari deberet, $i occlu$o orificio a&euml;r, &amp;
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1710 quodcunque aliud corpus $ubiturum excluderetur, &amp; tamen la-
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1711 tera diducerentur. E&acirc;dem de cau$a du&aelig; tabul&aelig; plani$$im&aelig;,
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1712 <MARG><I>Tabul&aelig; pla-
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1713 n&aelig; metu va
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1714 cui divelli
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1715 non po$$unt.</I></MARG>
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1716 &amp; $ibi mutu&ograve; $ecund&ugrave;m planitiem coh&aelig;rentes, divelli non po$-
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1717 $unt, $i ita tentetur divul$io, vt a&euml;r aut aliud corpus inter $uper-
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1718 ficies $ubintrare tempe$tiv&egrave; non po$$it. <I>Iuveni lacertorum $uorum
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1719 robur iactanti</I> (inquit P. Nicolaus Zucchius in $ua de vacuo do-
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1720 cti$$ima Diatribe) <I>propo$ita-$emel e$t lamina &aelig;rea per an$am in me-
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1721 dio extantem apprehen$am elevanda &egrave; tabula marmorea, cui optim&egrave; con-
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1722 gruebat: qui prim&ograve; tanquam rem ludicram puero committendam con-
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1723 temp$it: tum in$tantibus amicis manum vtramque admovens, c&ugrave;m lu-
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parents:
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1724 ctatus diu h&aelig;rentem non removi$$et, excu$avit impotentiam, obiect&acirc;
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1725 peregrini &amp; potenti$$imi glutinis interpo$itione, quo forti$$im&egrave; copulan-
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1726 te nequiret divelli; donec vidit ab alio per tabulam facillim&egrave; laminam
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1727 deduci, &amp; ad extrema productam, &amp; actam in transver$um, inde de-
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1728 portari.</I> Pa$$im etiam experimur, dum duo corpora $ecund&ugrave;m
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1729 <pb n=26>
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1730 planas $uperficies coniuncta $unt, vt vnum illorum elevatur, $e-
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1731 qui etiam alterum, quantumvis grave, atque in a&euml;re libero ve-
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parents:
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1732 luti $u$pen$um h&aelig;rere.
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1733 <p>Secund&ograve;, Si vas vitreum aqu&aelig; immergas atque impleas &amp;
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1734 <MARG><I>Vas inver-
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1735 $um difficul
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1736 ter extrahi-
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1737 tur ex aqua
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1738 ob vacui
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1739 metum.</I></MARG>
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1740 deinde intra aquam invertas, vt patens os deor$um vergat, tum
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1741 &aelig;qualiter ita inver$um eleves, &amp; extrahere tentes; $pectabis a-
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1742 quam illo inclu$am $ur$um intra illud $imul attolli; &amp; $i vas illud
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1743 ex parte iam extractum, &amp; ex parte adhuc immer$um, manu $u-
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1744 $tineas, videbis etiam aquam inclu$am in illo per$i$tere $ic eleva-
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diff changeset
1745 tam $upra ambientis aqu&aelig; $uperficiem &aelig;quilibratam, &amp; $uo et-
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parents:
diff changeset
1746 iam pondere manum $u$tinentis aggravare. Cur hoc? Quia
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parents:
diff changeset
1747 non pote$t a&euml;r $uccedere ad occupandum locum inter aquam
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parents:
diff changeset
1748 de$cendentem, &amp; partes va$is, qu&aelig; aqu&acirc; de$cendente de$ere-
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parents:
diff changeset
1749 rentur. Idem continget in quolibet alio va$e, $ed in vitreo et-
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parents:
diff changeset
1750 iam oculis patebit experimentum. Qu&ograve;d $i in fundo va$is fora-
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parents:
diff changeset
1751 men aliquod $it clau$um, vt po$$it aperiri; eo aperto, &amp; a&euml;re li-
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parents:
diff changeset
1752 ber&egrave; $ubintrante, aqua intra vas $u$pen$um de$cendet, &amp; de$i-
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parents:
diff changeset
1753 net gravare manum.
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parents:
diff changeset
1754 <MARG><I>Va$a $ub<*>s
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parents:
diff changeset
1755 pertu$a, $u-
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parents:
diff changeset
1756 peri&ugrave;s occlu
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parents:
diff changeset
1757 $a, aquam
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parents:
diff changeset
1758 retinent v<*>
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parents:
diff changeset
1759 u&iacute; metu.</I></MARG>
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parents:
diff changeset
1760 <p>Terti&ograve;, In va$is ad irrigandos hortos pa$$im adhiberi $oli-
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parents:
diff changeset
1761 tis (cuiu$modi proponimus infr&agrave; Cla$s. 1. cap. 6. Mach 2, &amp; Cri-
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parents:
diff changeset
1762 brum Ve$talium vocamus) licet fundum ip$orum $it perforatum,
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parents:
diff changeset
1763 &amp; multis foraminibus pervium, dum aqu&acirc; plena, &aelig;qualiter ele-
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parents:
diff changeset
1764 vantur in libero a&euml;re, aqua non defluit, qu&agrave;m diu digitus fora-
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parents:
diff changeset
1765 mini illorum $upern&egrave; in collo patenti adpre$$us non permittitin-
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parents:
diff changeset
1766 gre$$um a&euml;ri ad replendum locum, qui, $i deflueret aqua, relin-
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parents:
diff changeset
1767 queretur inter $uperiorem va$is $uperficiem, &amp; defluentem a-
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parents:
diff changeset
1768 quam. Et in tali con$i$tentia permanente aqu&acirc; intra vas, tan-
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parents:
diff changeset
1769 tum gravat, &amp; deor$um nititur aqua, quantum $i fundo integro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1770 &amp; collo aperto, $imul cum va$e $u$tineretur. Remoto ver&ograve; di-
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parents:
diff changeset
1771 gito, &amp; permi$$o ingre$$u a&euml;ri per $uperius foramen, $tatim de-
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parents:
diff changeset
1772 fluit aqua ex fundi foraminibus. Qu&ograve;d $i in medio defluxuite-
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parents:
diff changeset
1773 rum appo$ito digito foramen ob$truatur, pendet iterum aqua,
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parents:
diff changeset
1774 contra inclinacionem $u&aelig; gravitatis, tunc etiam manum gra-
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parents:
diff changeset
1775 vantis, nec defluit in apertum a&euml;rem.
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parents:
diff changeset
1776 <pb n=27>
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parents:
diff changeset
1777 <p>Quart&ograve;, Si fi$tul&aelig; vnam extremitatem aqu&aelig; immergas,
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parents:
diff changeset
1778 <MARG><I>Fi$tula ex-
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parents:
diff changeset
1779 $ucto a&euml;re a-
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parents:
diff changeset
1780 qu&atilde; recipit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1781 vacui metu</I></MARG>
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parents:
diff changeset
1782 ex altera ori admota a&euml;rem ex$ugas, elevatur confe$tim aqua,
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parents:
diff changeset
1783 $ualicet gravitate reluctans, po$t a&euml;rem extractum ad os ex$u-
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parents:
diff changeset
1784 gentis; vtique n&egrave; detur vacuum in fi$tula ex$ucto a&ecirc;re.
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parents:
diff changeset
1785 <p>Quint&ograve;, Si phialam cupream firmis lateribus compactam,
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parents:
diff changeset
1786 <MARG><I>Phiala cale
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parents:
diff changeset
1787 facta, &amp; a-
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parents:
diff changeset
1788 qu&aelig; immer-
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parents:
diff changeset
1789 $a, attrahit
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parents:
diff changeset
1790 ip$am va-
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parents:
diff changeset
1791 cui metu.</I></MARG>
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parents:
diff changeset
1792 n&egrave; facil&egrave; rumpatur, igni admotam calefacias, vt a&euml;r intus con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1793 tentus vehemen ter rarefiat, eamque deinde frigid&aelig; immergas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1794 vt a&euml;r phial&aelig; &agrave; violenta rarefactione $e recolligens conden$etur,
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parents:
diff changeset
1795 &amp; minorem occupet locum; intus attrahitur aqua, dum alius
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parents:
diff changeset
1796 a&euml;r in locum relinquend&utilde; $uccedere non pote$t, ne $cilicet detur
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parents:
diff changeset
1797 vacuum in phiala. Sic $i ex fi$tula, cuius vnum orificium occlu-
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parents:
diff changeset
1798 <MARG><I>Fi$tula ex-
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parents:
diff changeset
1799 tracto a&euml;re
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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1800 carn&euml; ad-
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parents:
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1801 motam tra
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parents:
diff changeset
1802 hunt, ne
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parents:
diff changeset
1803 vacuum
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parents:
diff changeset
1804 detur.</I></MARG>
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parents:
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1805 $um, alterum apertum, autex clave f&oelig;minea ben&egrave; compacta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1806 ex$ugas fortiter &amp; continuato tractu a&euml;rem, &amp; ce$$ante $uctione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1807 $tatim apponas fi$tul&aelig; orificio patenti digitum aut labrum, n&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1808 $uccedat ambiens a&euml;r; attrahitur intra fi$tulam, aut clavem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1809 caro digiti aut labri, vt notabiliter vellicet, &amp; de carne depende-
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parents:
diff changeset
1810 at. Non alia de cau$a, ni$i quia durante ex$uctione rarefit rema-
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parents:
diff changeset
1811 nens intus a&euml;r, &amp; violenter tot&utilde; illud $patium $olus implet; ce$-
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parents:
diff changeset
1812 $ante ver&ograve; $uctu recolligit $e &agrave; violenta rarefactione, &amp; minor&etilde;
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parents:
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1813 locum occupans advocat aliud, quod ip$i proximum e$t, ad lo-
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parents:
diff changeset
1814 cum de$ertum replendum. Eadem&qacute;ue cau$a e$t, cur cucurbi-
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parents:
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1815 <MARG><I>Cucurbitu-
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parents:
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1816 l&aelig; carnem
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parents:
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1817 attrahunt
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1818 metu vacui</I></MARG>
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parents:
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1819 tul&aelig;, qu&aelig; Chirurgis in v$u e$$e $olent, carnem $ur$um attrahant;
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parents:
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1820 nimirum quia a&ecirc;r, qui pri&ugrave;s igne incaluerat, &amp; in raritatem abi-
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parents:
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1821 erat, extincta flamma frigiditatem &amp; den$itatem recipit, atque
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parents:
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1822 in minorem contractus molem inane $patium relinqueret, ni$i
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parents:
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1823 ad id replendum caro elevaretur.
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parents:
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1824 <p>Sext&ograve;, Si $clopeto &aelig;neo, aut maiori bombard&aelig;, immit-
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parents:
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1825 <MARG><I>Embolus <*>
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parents:
diff changeset
1826 $clopeto,
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casties
parents:
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1827 foramini i-
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parents:
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1828 gniarioclau
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parents:
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1829 $o, difficul-
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parents:
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1830 ter extrahi-
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casties
parents:
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1831 tur, vacui
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parents:
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1832 metu.</I></MARG>
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parents:
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1833 tas embolum interiori $uperficiei ben&egrave; congruentem, vt a&ecirc;r in-
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parents:
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1834 ter ip$am &amp; embolum $ubire non po$$it, &amp; deinde igniarium fo-
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parents:
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1835 ramen occludas; non ni$i difficulter extrahitur embolus, &amp; vi
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diff changeset
1836 aliquantisper extractus retroagitur intra fi$tulam:
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1837 <p>Atque h&aelig;c $ecunda $ententia, qu&aelig; Natur&aelig; vacuum tan-
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1838 toper&egrave; fugientis partes tuendas $u$cipit, merit&ograve; &agrave; melioris not&aelig;
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1839 Philo$ophis, vt olim, ita nunc quoque pr&aelig;fertur: quidquid ob-
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1840 <pb n=28>
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diff changeset
1841 ganniant Neoterici quidam, qui ne$cio quo novitatis $tudio in-
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diff changeset
1842 <MARG><I>Vacuum da
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1843 rinaturali-
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1844 ter non po-
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1845 te$t.</I></MARG>
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1846 citati, <G>xenodoci/as</G> vento inflati, nova quotidie dogmata cudere,
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1847 aut ob$oleta veter&utilde; commenta recoquere non verecundantur.
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1848 Sati&ugrave;s enim ac facili&ugrave;s e$$e exi$timatur, admittere contra di$po-
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1849 $itiones particulares corporum gravium elevationem, levium
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1850 depre$$ionem, den$iorum dilatationem, rariorum conden$a-
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diff changeset
1851 tionem, durorum inflectionem, &amp; $imilia, qu&agrave;m vacuum, quod
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1852 Naturam adeo abhorrere con$picitur, vt nulla vi naturalis agen-
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diff changeset
1853 tis, nullo Machin&aelig; artificio dari po$$it. Huiu$modi autem na-
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1854 tur&aelig; pugnas &amp; $tratagemata multa $pectabis manife$t&egrave; infr&agrave; in
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diff changeset
1855 multis Machinis, quibus h&aelig;c Natur&aelig; inanitatem fugientis $o-
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diff changeset
1856 lertia $ummam pr&aelig;bet commoditatem. Alia etiam paul&ograve; po$t
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diff changeset
1857 afferam, $i pri&ugrave;s, qu&aelig;uam $it vis illa Attractiva corporum, qu&acirc;
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1858 Natura vtitur ad vacuum impediendum, o$tendero.
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diff changeset
1859 <C>&sect;. IV.</C>
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diff changeset
1860 <C>Vis attractiva&verbar;ob vacui metum, primum Machinarum
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diff changeset
1861 hydro-pnevmaticarum principium, qu&aelig;, &amp; qua-
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1862 lis, quibusv&egrave; in$it corporibus.</C>
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1863 <p>H&AElig; $unt bin&aelig; de vacuo $ententi&aelig;, quarum vtraque fontium
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parents:
diff changeset
1864 artificialium, aliarum&qacute;ue hydro-pnevmaticarum Machina-
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diff changeset
1865 rum con$tructioni, &amp; effectuum mirabilium patrationi viam a-
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diff changeset
1866 perit &amp; $ubmini$trat arma; quamvis evidenti&ugrave;s $ecunda, qu&agrave;m
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diff changeset
1867 prima, cui &amp; illam idcirco pr&aelig;tulimus. Qu&aelig;$tio tamen non le-
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1868 <MARG><I>Vis attra-
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1869 ctiva aqu&aelig;
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1870 quibus in$it
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1871 corporibus.</I></MARG>
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diff changeset
1872 vis remanet inter $ecund&aelig; huius $ententi&aelig; fautores circa vim il-
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1873 lam, qu&aelig; cogit corpora gravia accurrere ad vacuum impedi-
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diff changeset
1874 endum, etiam contra propriam inclinationem; dubitatur&qacute;ue,
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diff changeset
1875 quibusnam illa vis in$it ceu $ubiectis; trahentibusn&egrave;, an tractis
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parents:
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1876 corporibus?
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diff changeset
1877 <p>Alij enim putant, e$$e virtutem motivam ip$is corporibus
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1878 <MARG><I>Vis attra-
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1879 ctiva non
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1880 ine$t corpo-
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1881 ribus attra
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parents:
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1882 Hic.</I></MARG>
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1883 accurrentibus intrin$ecam, qu&aelig; in bonum Vniver$i corpora gra-
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1884 via in altum, contra con$uetum modum, ad vacuum impedien-
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parents:
diff changeset
1885 dum, vrgeat atque impellat. At hoc experientia ip$a $atis con-
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1886 vellit, &amp; fal$itatis arguit; $iquidem, vt ben&egrave; advertunt Cab&aelig;us
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parents:
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1887 <pb n=29>
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1888 &amp; Zucchius, aqua a$cend&etilde;s intra tubum, ad vacuum impediend&utilde;
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parents:
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1889 <MARG><I>Aqua in tu
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parents:
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1890 bis elevata
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1891 adfugiend<*>
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parents:
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1892 vacuum
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1893 gravat.</I></MARG>
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1894 (quod in $equentibus Machinis frequenti$$imum e$t) tantundem
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1895 gravat, quant&utilde; gravaret in libero a&euml;re $u$p&etilde;$a. Qu&ograve;d ben&egrave; adver-
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1896 terejubet Cab&aelig;us illos, qui $pecio$o nimis nomine $e Ingenie-
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1897 ros appellari volunt; &amp; Zucchius ait, $e huius rei experimento
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1898 co&euml;gi$$e, <I>virum alioqui non ineruditum, vt fallaciam agno$ceret in
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1899 via, qu&acirc; motum perpetuum $e inveni$$e putabat, &amp; iam dicandum Ma-
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parents:
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1900 gno Principi $chema in &aelig;s incidi curaverat, $upponendo aquam ad impe-
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1901 diendum vacuum $ua vi a$c&etilde;dentem non egere virtute &aelig;quilibrante, ne-
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parents:
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1902 dum $uperante pondus illius, qua eget c&ugrave;m $i$tenda vel elevanda e$t in
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parents:
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1903 a&euml;re, liber&egrave; accurrente ad replendum $patium inter eam, &amp; alia corpora
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1904 relinquendum.</I>
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1905 <p>Alij igitur, &amp; meli&ugrave;s, exi$timant, omnibus corporibus
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1906 <MARG><I>Attractiva
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1907 vis trahen-
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1908 tibus corpo-
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1909 ribus ine$t,
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1910 ad vacuum
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1911 impediend&utilde;</I></MARG>
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1912 contiguis hanc ine$$e vim, &agrave; Natura attributam, ad Vniver$i
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1913 bonum ac con$ervationem, vt quotiescunque vnum illorum lo-
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1914 co cedit, $eu tractum ab extrin$eco agente violenter, $eu $ponte
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1915 &amp; innat&acirc; inclinatione recedens, pondere videlicet, autlevitate:
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1916 trahat $ecum alterum $ibi contiguum, quantumvis reluctans,
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1917 quoties inter ip$um &amp; contiguum non pote$t $ubintrare corpus
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1918 aliud, quod partium Vniver$i contiguitatem tueatur, &amp; impedi-
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1919 at inanitatem; adeoque trahentibus, non tractis corporibus
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1920 <MARG><I>Vacui cau-
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1921 $a impediti-
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1922 va multi-
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1923 plex.</I></MARG>
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1924 vim illam motivam ine$$e. Et hanc vim appellant vim attracti-
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1925 vam, e$tque illa ip$a quam nos primum Machinar&utilde; hydro-pnev-
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1926 maticarum principium $eu fundamentum dicimus, vnaque e$t
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1927 ex cau$is vacui impeditivis. Dico, vna ex cau$is, non enim v-
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1928 nica e$t via atque indu$tria, qu&acirc; vacuum Natura evitare adni-
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1929 titur. Mod&ograve; enim vtitur pr&aelig;dicta vi attractiva: mod&ograve; ad$ci$cit
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parents:
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1930 operam alteratricium qualitatum, qu&aelig; corpora rarefaciunt, &amp;
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1931 in ampliorem molem diffundunt: non nunquam magno impe-
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parents:
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1932 tu va$a frangit, aut alia id genus media, prout occa$io &amp; nece$-
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parents:
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1933 $itas fert, accommodat: quin etiam haud rar&ograve; nullo motu, nulla
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parents:
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1934 actione, nulla denique vi effectrice, $ed per negativam quand&atilde;
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parents:
diff changeset
1935 ob$i$tentiam vacuo repugnat; vt c&ugrave;m Iatera follium compre$$a
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parents:
diff changeset
1936 clau$o orificio, vt diximus $upr&agrave;, divellinon $init. Semper ta-
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parents:
diff changeset
1937 <pb n=30>
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parents:
diff changeset
1938 men Natura in his, vtin c&aelig;teris rebus, c&otilde;pendio $tudet, &amp; quan-
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parents:
diff changeset
1939 tum pote$t, facilioribus ac $implicioribus vtitur medijs; vt $i ad
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parents:
diff changeset
1940 fugam vacui corpus $ur$um attrahere, qu&agrave;m den$atione impedi-
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parents:
diff changeset
1941 re promptius $it, illud pr&aelig;$tat, non hoc; $i contr&agrave;, hoc, non il-
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parents:
diff changeset
1942 lud: item $i per $olum motum localem $ine rarefactione corpus
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parents:
diff changeset
1943 aliunde trahere $ufficit, rarefactioni parcit; alioquin vtrumque
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parents:
diff changeset
1944 mi$cet.
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parents:
diff changeset
1945 <MARG><I>Attractiva
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parents:
diff changeset
1946 vis ad va-
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parents:
diff changeset
1947 cuum im-
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parents:
diff changeset
1948 pediendum
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parents:
diff changeset
1949 omnibus
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parents:
diff changeset
1950 corporibus
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parents:
diff changeset
1951 ine$t.</I></MARG>
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parents:
diff changeset
1952 <p>Sed h&aelig;c accurati&uacute;s Philo$ophi; nobis $ufficit varijs experi-
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parents:
diff changeset
1953 entijs mon$tra$$e, ine$$e corporibus Vniver$um componentibus
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parents:
diff changeset
1954 vim attractivam vel ad replendum, vel ad impediendum vacu&utilde;;
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parents:
diff changeset
1955 qu&aelig; vis vt alia corpora, ita mult&ograve; magis a&euml;rem &amp; aquam attra-
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parents:
diff changeset
1956 hat, &amp; Machinarum Hydro-pnevmaticarum principium ac f&utilde;-
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parents:
diff changeset
1957 damentum primum con$tituat.
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parents:
diff changeset
1958 <p>Nunc tempus e$t, vt experimento vnico &amp; veluti re ip$a
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parents:
diff changeset
1959 mon$tremus, quomodo vis attractiva, quam hactenus corpori-
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parents:
diff changeset
1960 bus Vniver$um componentibus ine$$e o$tendimus ad vacuum
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parents:
diff changeset
1961 impediendum (vel vt Hero vult, replendum) cau$a e$$e po$$it,
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parents:
diff changeset
1962 atque principium Hydro-pnevmaticarum Machinarum.
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parents:
diff changeset
1963 <C>&sect;. V.</C>
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parents:
diff changeset
1964 <C>Experimentum, quo o$tenditur vis attractiva ad aquas
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parents:
diff changeset
1965 in altum evehendas, vacui vitandi caus&acirc;, per Machinas
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parents:
diff changeset
1966 Hydro-pnevmaticas.</C>
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parents:
diff changeset
1967 <p>INfr&agrave; Cla$se 1. cap. 1. Machina 11. Modum pr&aelig;$cribimus aqu&atilde;
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casties
parents:
diff changeset
1968 <MARG><I>Experimen
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casties
parents:
diff changeset
1969 tum vim
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parents:
diff changeset
1970 attractiv&atilde;
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parents:
diff changeset
1971 o$tendens
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parents:
diff changeset
1972 ad vacuum
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parents:
diff changeset
1973 impedien-
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parents:
diff changeset
1974 dum.</I></MARG>
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parents:
diff changeset
1975 ad certam ac determinatam aliquam altitudinem evehendi,
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parents:
diff changeset
1976 eumque appellamus Siphonem inver$um interruptum: qui mo-
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parents:
diff changeset
1977 dus c&ugrave;m nitatur vi Attractiv&acirc; orta ex vacui metu, multaque im-
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parents:
diff changeset
1978 plicet notatu digni$$ima, &amp; ad vim Attractivam peniti&ugrave;s intelli-
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parents:
diff changeset
1979 gendam omnin&ograve; nece$$aria, h&icirc;c eum paul&ograve; fu$i&ugrave;s explicandum
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parents:
diff changeset
1980 cen$ui; ibi enim breviter tant&ugrave;m, &amp; quantum ad praxin $ufficit,
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parents:
diff changeset
1981 illum proponimus. Sit itaque in ci$terna, puteo, pi$cina, aut
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parents:
diff changeset
1982 va$e quocunque B, aqu&acirc; pleno, elevanda ad pedes ex.g.cent&utilde; (di-
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parents:
diff changeset
1983 co, exempli gratia, nam alioquin non pote$t ad tant&atilde; altitudin&etilde;
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parents:
diff changeset
1984 attolli per vim attractivam) aqua in vas KA, quod $it con$titu-
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parents:
diff changeset
1985 <pb n=31>
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parents:
diff changeset
1986 <FIG>
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parents:
diff changeset
1987 tum in parte $uperiore domus, habeat&qacute;ue epi$tomium H, per
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parents:
diff changeset
1988 quod, vbi repletum fuerit vas, depleri po$$it. Fiat vas C, cu-
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parents:
diff changeset
1989 iuscunque capacitatis (quamvis meli&ugrave;s $it, vt $it &aelig;qualis capa-
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parents:
diff changeset
1990 citatis cum va$e KA, aut $altem non minoris) ex eoque derive-
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parents:
diff changeset
1991 tur ad vas KA, $iphon $eu tubus OI, qui in va$e C, incipiat im-
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parents:
diff changeset
1992 mediat&egrave; infra operculum ip$ius, in va$e ver&ograve; KA, de$inat paul&ograve;
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parents:
diff changeset
1993 infra eiu$dem operculum, tantum ab illo di$tans, quantum $uf-
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parents:
diff changeset
1994 ficit vt a&euml;r permeare po$$it. Deinde ex va$e B, derivetur ad vas
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parents:
diff changeset
1995 KA, tubus BK; qui in va$e B, incipiat paul&ograve; $upra fundum ip$i-
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parents:
diff changeset
1996 <pb n=32>
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parents:
diff changeset
1997 <FIG>
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parents:
diff changeset
1998 us, in va$e ver&ograve; KA, de$inat paul&ograve; infra operculum; vbi etiam
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parents:
diff changeset
1999 nonnihil in curvetur, vti in figura apparet. Tandem ex va$e C,
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parents:
diff changeset
2000 derivetur alius tubus EF, cum epi$tomio E, habens longitudi-
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parents:
diff changeset
2001 nem paul&ograve; majorem longitudine tubi BK, capacitatem ver&ograve;
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parents:
diff changeset
2002 $eu amplitudinem eidem BK, omnino &aelig;qualem. Debent autem
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parents:
diff changeset
2003 omnes tres tubi diligenti$$im&egrave; adferr&utilde;inari $eu coarctari plum-
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parents:
diff changeset
2004 bo, aliav&egrave; materia, $uis va$is in loco tran$itus; &amp; tam vas C, quam
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casties
parents:
diff changeset
2005 vas KA, claudi obturari&qacute;ue vndiq, $tudio$i$$im&egrave;, n&egrave; a&euml;rem ali-
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parents:
diff changeset
2006 unde, qu&agrave;m per tubos, recipere aut ejicere valeant. His ita
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parents:
diff changeset
2007 <pb n=33>
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parents:
diff changeset
2008 pr&aelig;paratis, impleatur vas C. aqu&acirc; per foramen O, immi$$o ip$i
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casties
parents:
diff changeset
2009 foramini iufundibulo; &amp; vbi repletum fuerit, claudatur vt di-
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parents:
diff changeset
2010 ctum. Deinde clau$o epi$tomio H, aperiatur epi$tomium E,
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parents:
diff changeset
2011 tubi EF; defluet&qacute;ue aqua ex va$e C, &amp; in locum ip$ius, n&egrave; va-
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parents:
diff changeset
2012 cuum in va$e admittatur, $equetur per $iphonem IO, a&euml;r in va-
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parents:
diff changeset
2013 $e KA, contentus; in locum ver&ograve; a&euml;ris extracti &egrave; va$e KA, $eque-
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parents:
diff changeset
2014 tur, propter vacui metum, aqua va$is $eu ci$tern&aelig; aut pi$cin&aelig; B,
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parents:
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2015 per $iphonem BK; &amp; tam diu durabit a$cen<*>s aqu&aelig; per $iphon&etilde;
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parents:
diff changeset
2016 BK, in vas KA, qu&agrave;m diu de$cendet aqua per $iphonem EF ex va-
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parents:
diff changeset
2017 $e C. Lege qu&aelig; dicimus infr&agrave; loco cit. En ergo, quomodo aq ia,
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parents:
diff changeset
2018 ad vacuum impediendum, a$cendat contra naturalem $uam in-
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diff changeset
2019 clinationem, &amp; quomodo propter eand&etilde; cau$am a&euml;r de$cendat.
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2020 <C>&sect;. VI.</C>
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diff changeset
2021 <C>Notantur nonnulla circa pr&aelig;dictum experimentum, $i-
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diff changeset
2022 mul&qacute;; $tabilitur, in attractione aqu&aelig; metu vacui habendam
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2023 e$$e rationem perpendiculi aquarum.</C>
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2024 <p>DIximus, meli&ugrave;s e$$e vt vas C, $it &aelig;q<*>lis capacitatis cum va$e
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diff changeset
2025 KA, aut$altem non minoris: &amp; pr&aelig;terea $iphonem EF debe-
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diff changeset
2026 re e$$e paul&ograve; longiorem $iphone BK, capacitatis ver&ograve; $eu ampli-
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diff changeset
2027 tudinis &aelig;qualis. Ratio quoad capacitatem va$orum &amp; $ipho-
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diff changeset
2028 num e$t, quia tamdiu a$cendit aqua per BK, qu&agrave;m diu de$cen-
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diff changeset
2029 dit per EF, vt dixi (tam diu enim, &amp; non ampli&ugrave;s, duratvacui
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diff changeset
2030 metus, ob quam aqua a$cendit per tubum BK:) $i ergo vas C mi-
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diff changeset
2031 nus e$$et qu&agrave;m vas KA, aut tubus EF capacior qu&agrave;m tubus BK; ef-
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diff changeset
2032 flueret tota aqua ex C, antequam repleretur KA. Accedit &amp;
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diff changeset
2033 hoc commodi ex &aelig;quali vtrorumque capacitate, qu&ograve;d $cire po$-
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diff changeset
2034 $it apud C exi$tens, quandonam plenum $it vas KA; quando ni-
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diff changeset
2035 mirum effluxerit tota aqua C. Ratio ver&ograve; cur tubus EF, debeat
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2036 <MARG><I>Experim&euml;-
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2037 tum aliud:
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parents:
diff changeset
2038 o$tendens
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diff changeset
2039 vim attra-
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2040 ctivam a-
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2041 qu&aelig; in alt&utilde;.</I></MARG>
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2042 e$$e longior tubo BK, patebit ex dicendis Protheoria IV. capite
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2043 2. Propo$it. 13. interim h&icirc;c id confirmo hoc Experimento. Ac-
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diff changeset
2044 cipe vas aqu&acirc; plenum, eique in$ere $iphonem inver$um ABCD
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2045 &aelig;qualium crurium. Accipe deinde tubum rectum DE aqu&acirc;
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diff changeset
2046 plenum, eumque, obturato pri&ugrave;s ore E, in$ere extremitati D,
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2047 <pb n=34>
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2048 <FIG>
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2049 cruris CD, &amp; diligenter coarcta in-
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2050 ter $e$e, n&egrave; a&euml;r inter vtrumq; tr&atilde;$ire
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diff changeset
2051 po$$it. His factis aperios inferius.
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2052 Et $i quidem tubus rectus DE lon-
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diff changeset
2053 gior fuerit qu&agrave;m crus AB &agrave; $upre-
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2054 ma $uperficie aqu&aelig; va$is vsq; ad B;
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diff changeset
2055 effluet aqua ex E, a$cendet&qacute;ue a-
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diff changeset
2056 qua va$is A, per crus AB, inde&qacute;ue
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diff changeset
2057 per CD, crus de$cendet, donec
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2058 tota effluxerit ex ore E. Si aut de-
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2059 urtetur tubus DE in F, fiatque
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2060 &aelig;qualis cruri AB; a$endet aqua va-
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2061 $is A $ol&ugrave;m u$que ad B, qu&agrave;m diu vi-
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2062 delicet aqua ex F effluit; qu&acirc; elaps&acirc;,
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diff changeset
2063 relabetur aqua cruris AB intra vas
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2064 A, Si idem tubus DE decurtetur
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2065 in G, aut H, fiat&qacute;ue brevior qu&agrave;m
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2066 crus AB; a$cendet aqua per AB $o-
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2067 l&ugrave;m aliqu&ograve;u$que, &amp; deinde rela-
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parents:
diff changeset
2068 betur. Experientiam quilibet fa-
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parents:
diff changeset
2069 cil&egrave; poterit facere.
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2070 <p>Nec $ufficit vt tubus EF, $upe-
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diff changeset
2071 rioris figur&aelig; $it quacunq; ratione longior tubo BK, $ed nece$$ari-
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diff changeset
2072 um e$t, vt perpendicul&utilde; ip$ius EF, $it longius qu&agrave;m perpendicu-
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parents:
diff changeset
2073 lum BK, hoc e$t, vt tubus EF perpendiculariter de$cendat
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diff changeset
2074 profundi&ugrave;s infra vas C, qu&agrave;m tubus BK a$cendat perpendi-
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parents:
diff changeset
2075 culariter $upra vas B. Quare $i tubus EF centum &amp; vnius pe-
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parents:
diff changeset
2076 <MARG><I>Perpendicu
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parents:
diff changeset
2077 lum aqu&aelig;
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parents:
diff changeset
2078 de$cenden-
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parents:
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2079 tis debet e$$e
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parents:
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2080 longius,
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parents:
diff changeset
2081 qu&agrave;m a$cen
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parents:
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2082 dentis.</I></MARG>
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2083 dum inclinaretur infra vas C, aut convolveretur in helicem,
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parents:
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2084 vt h&icirc;c apparet, ita vt perpendiculum ip$ius $ol&ugrave;m e$$et pedum
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2085 v.g. 60. ab E v$que ad D v.g. &amp; non v$que ad N; neutiquam
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parents:
diff changeset
2086 $ufficeret; $ed omnino nece$$arium e$t, vt perpendiculum $it
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parents:
diff changeset
2087 etiam ad minim&ugrave;m centum pedum, &amp; pertingat v$que ad N. Et
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2088 h&aelig;c perpendiculi men$ura adeo e$t nece$$aria in hydraulicis hi-
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parents:
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2089 $ce operationibus, vt Natura falli nulla arte, nullo dolo, nulla&qacute;;
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parents:
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2090 experientia po$$it. Ioannes Bapti$ta Porta lib. 2. Spirital. cap.
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parents:
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2091 <pb n=35>
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parents:
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2092 <FIG>
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parents:
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2093 1. ait, $e, c&uacute;m indigeret determi-
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parents:
diff changeset
2094 nato perpendiculo infra vas de-
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parents:
diff changeset
2095 $cendente, nec locum haberet
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parents:
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2096 ad demittendum perpendicula-
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parents:
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2097 riter tubum, multis viis tenta$$e,
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parents:
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2098 vt defectum $uppleret; pr&aelig;cipu&egrave;
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parents:
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2099 ver&ograve; duabus memoratis, nimi-
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2100 rum inclinando prim&ugrave;m, deinde
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parents:
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2101 in helicem convolvendo tubum
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2102 requi$it&aelig; longitudinis; $ed nun-
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2103 quam de$ideratum effectum fu-
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2104 i$$e con$ecutum, nec vnquam
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parents:
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2105 a$cendi$$e aquam ad maiorem
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2106 altitudinem qu&agrave;m erat perpen-
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2107 diculum tubi inclinati, aut tor-
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2108 tuo$i. Demi$it etiam infra vas
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2109 canalem capaciorem, licet bre-
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2110 viorem illo, qui erat $upra vas:
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diff changeset
2111 pr&aelig;terea loco vnius longioris
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diff changeset
2112 demi$it multos breviores, qui $i-
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diff changeset
2113 mul $uperabant longitudinem
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diff changeset
2114 $uperioris; $ed vano $emper labore. Adeo $ui juris tenax e$t
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diff changeset
2115 Natura, &amp; vt non fallit nos in $uis operationibus, ita nec falli &agrave;
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diff changeset
2116 nobis vult. Infr&agrave; tamen Cla$se 1. cap. 1. Machina 7. Modum do-
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diff changeset
2117 cebo elevandi aquam ad quamvis altitudin&etilde; perpendiculis bre-
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diff changeset
2118 vibus multiplicatis, $ed vtrisque, de$cendentis nimirum &amp; a$cen-
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diff changeset
2119 dentis aqu&aelig;. Notandum pr&aelig;terea e$t hoc loco, Tubum OI,
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diff changeset
2120 aut CI, po$$e e$$e quant&aelig;vis longitudinis, vt infr&agrave; iterum dicam
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diff changeset
2121 &sect;. IX. Quomodo autem vi attractiva &amp; expul$iva $imul elevari
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diff changeset
2122 po$$it aqua ad maiorem altitudinem qu&agrave;m $it perpen-
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diff changeset
2123 diculum aqu&aelig; de$cendentis, dicemus infr&agrave;
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diff changeset
2124 Protheoria II.
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diff changeset
2125 <pb n=36>
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diff changeset
2126 <C>&sect;. VII.</C>
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diff changeset
2127 <C>Heronis Alexandrini error in elevanda a-
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diff changeset
2128 qua vi attractiv&acirc;.</C>
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diff changeset
2129 <MARG><I>Error He-
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diff changeset
2130 ronis.</I></MARG>
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diff changeset
2131 <p>HEro Alexandrinus cap. 53. libri de Spiritalibus modum pr&aelig;-
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diff changeset
2132 $cribit elevandi aquam per vim attractivam ex vacui metu;
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diff changeset
2133 $ed vehementer hallucinatur, ob perpendiculi pr&aelig;dicti defect&utilde;;
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diff changeset
2134 $i tamen Heronis e$t error ille, &amp; non poti&ugrave;s interpretis, qui $che-
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diff changeset
2135 ma appo$uit, vt notavit etiam Ioannes Bapti$ta Porta lib. 2. de
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diff changeset
2136 Spirital. cap. 2. Affero verba vn&agrave; cum Schemate Heronis, ex ver-
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parents:
diff changeset
2137 $ione &amp; editione Federici Commandini Vrbinatis, qui ex Gr&aelig;co
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diff changeset
2138 in latinum eum tran$tulit quem errorem repetit etiam Ioannes
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diff changeset
2139 Bapti$ta Aleottus in ver$ione Italica.
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diff changeset
2140 <p><I>E$t etiam alia con$tructio,</I> inquit Hero, <I>in qua humidum $en-
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diff changeset
2141 $im fertur, &amp; manet, ita vt $emper a$cendens videatur.</I>
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parents:
diff changeset
2142 <FIG>
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parents:
diff changeset
2143 <I>Sit ba$is</I> AB <I>vndique pr&aelig;clu$a, qu&aelig; dia-
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diff changeset
2144 phragma habeat</I> CD, <I>&amp; vitreum oper-
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parents:
diff changeset
2145 culum Cylindri forma</I> EF <I>$imiliter vndi-
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parents:
diff changeset
2146 que pr&aelig;clu$um. In operculo autem</I> EF <I>$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2147 tubus</I> GH, <I>ab ip$ius tecto parum di$tans,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2148 &amp; $imul perforatus cum diaphragmate. A-
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parents:
diff changeset
2149 lius etiam tubus</I> KL <I>$imul perforetur cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2150 tecto ba$is, &amp; &agrave; diaphragmate parum di$tet.
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diff changeset
2151 In$it autem ba$i extra vitreum operculum
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parents:
diff changeset
2152 foramen</I> M, <I>per quod vas</I> AB, <I>impleatur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2153 &amp; ba$is</I> AB <I>ad fundum canalem habeat</I>
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parents:
diff changeset
2154 N. <I>Sit pr&aelig;terea alius tubus</I> XO, <I>$imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2155 perforatus cum diaphragmate, parumque
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parents:
diff changeset
2156 &agrave; ba$i di$tans, per quem implebitur vas</I> CB.
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parents:
diff changeset
2157 <I>Itaque ob$tructo canali</I> N, <I>a&euml;r qui e$t in</I> CB, <I>per tubos, &amp; per fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2158 men</I> M <I>excedet extra. Et c&ugrave;m vas</I> CB <I>repletum fuerit, implebi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2159 mus</I> AD <I>per foramen</I> M, <I>a&euml;r enim qui in ip$o e$t, per idem foramen
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parents:
diff changeset
2160 excedit. Si igitur canalem</I> N <I>fluere dimittamus, in locum</I> CB <I>exina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2161 nitum, a&euml;r ex vitreo operculo procedet per tubum</I> GH: <I>in locum autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2162 vitrei operculi exinanitum ex</I> AD <I>humidum a$cendet per tubum</I> KL, <I>&amp;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2163 <pb n=37>
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casties
parents:
diff changeset
2164 <I>a<*>r per foramen</I> M <I>ingredietur. Atque hoc vsque e&ograve; fiet, quoad vitreum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2165 operculum repletum fuerit. Oportebit autem loca</I> AD, CB, EF, <I>inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2166 $e &aelig;qualia e$$e, vt ad invicem &amp; a&euml;r, &amp; humidum transferantur. Quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2167 do autem vas</I> CB <I>exinanitum fuertt, &amp; con$titerit a&euml;r is continuitas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2168 rur$us ex vitreo operculo aqua in vas</I> AD <I>deferetur, a&euml;re per canalem</I>
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parents:
diff changeset
2169 N, <I>&amp; per</I> GH <I>tubum in vitreum operculum ingrediente, qui ver&ograve;
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parents:
diff changeset
2170 e$t in vase</I> AD <I>a&euml;r per foramen</I> M <I>excedet.</I>
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parents:
diff changeset
2171 <p>Ita Hero; $ed errat autip$e, aut eius interpres: debete-
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parents:
diff changeset
2172 nim canalis N de$cendere infra vas perpendiculariter ad tantam
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parents:
diff changeset
2173 profunditatem, quanta e$t longitudo KL, vt attrahatur tota a-
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parents:
diff changeset
2174 qua va$is AD; alioquin po$tquam effluxerit aliquantulum a-
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parents:
diff changeset
2175 qu&aelig; ex canali N, traxeritque aliquantulum a&euml;ris ex cylindro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2176 EF, &amp; aqu&aelig; ex va$e AD, ce$$abit omnino aqu&aelig; fluxus, ob de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2177 fectum perpendiculi &aelig;qualis perpendiculo KL, $altem ab $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2178 prema $uperficie aqu&aelig; va$is AD, v$que ad orificium K tubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2179 pr&aelig;dict KL Qui defectus $i $uppleatur, $equetur effectus de$ide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2180 ratus. Porta tamen loco citato, occa$ione huius Heronian&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2181 indu$tri&aelig;, alium excogita vit modum elevandi vi attractiva ex
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parents:
diff changeset
2182 inferiori ad $uperius vas aquam: quem legere poteris apud ips&utilde;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2183 <C>&sect;. VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2184 <C>Alius Heronis error in elevanda aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2185 vi attractiva.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2186 <p>ALium errorem committit Hero lib. cit. de Spiritalibus cap. 5.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2187 <MARG><I>Error alius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2188 Heronis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2189 $i tamen &amp; hic non e$t ad$cribendus interpreti. Docere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2190 vult Hero modum elevandi atque attrahendi humidum ex va$e
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parents:
diff changeset
2191 per $iphonem inver$um, cuius vnum crus $it humido immer$&utilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2192 alterum extra vas promineat, non attrahendo prius per os no-
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parents:
diff changeset
2193 $trum a&euml;rem ex $iphone, $ed appendendo vas quodpiam aqu&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2194 plenum: Sic ergo di$currit.
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casties
parents:
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2195 <p><I>Sit $merismation aliquod, cuius ma$culum quidem apponatur
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2196 extrin$eco $iphonis cruri, ita vt per ip$um fluat, $itque</I> TV; <I>faminave-</I>
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parents:
diff changeset
2197 <pb n=38>
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parents:
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2198 <FIG>
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casties
parents:
diff changeset
2199 <I>r&ograve;</I> TYV <I>pri&ugrave;s adglutinata va$i</I>
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diff changeset
2200 LZ, <I>quod paul&ograve; pl&ugrave;s aqu&aelig;, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2201 $iphon capiat; habeat autem ad
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diff changeset
2202 fundum effluxionem</I> <G>*w</G> <I>Quan-
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diff changeset
2203 do igitur volumus per $iphonem e-
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diff changeset
2204 ducere aquam, qu&aelig; e$t in va$e</I> AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2205 <I>effluxionem va$is</I> LZ <I>di<*>ito c&otilde;-
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diff changeset
2206 prehendentes, ip$um aqu&acirc; imple-
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diff changeset
2207 bimus. Po$tea f&oelig;mineum $meri-
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diff changeset
2208 $ma ma$culo aptantes effluxionem</I>
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diff changeset
2209 <G>*w</G> <I>dimittemus. Evacuato au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2210 tem</I> LZ <I>va$e, a&euml;r in $iphone
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2211 exi$tens in evacuatum locum pro-
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parents:
diff changeset
2212 cedet; quem con$equetur humi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2213 dum quod in va$e</I> AB, <I>ita vt $iph&otilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2214 impleatur. Deinde aufferentes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2215 vas</I> LZ <I>Siphonem fluere $ine-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2216 mus. Oportet autem $iphonem rect&egrave; de$cendere, $i officium $uum pr&aelig;-
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parents:
diff changeset
2217 $tare debeat; illud autem erit, quando ad va$is</I> AB <I>labrum duas regu-
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diff changeset
2218 las rectas compingemus, atque inter ip$as intrin$ecum $iphonis crus
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parents:
diff changeset
2219 con$tituemus, ita vt vtrasque contingat; ad idem ver&ograve; $iphonis crus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2220 intrin$ecum vtrimque clauvicuulam affigemus, regulas continentem
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diff changeset
2221 parte interiori: ita enim neque obliquum, neque in <*>nteriorem par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2222 tem declinabit; rect&ograve; enim &amp; exqui$it&egrave; de$cendet, claviculis regulas
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diff changeset
2223 atterentibus.</I>
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parents:
diff changeset
2224 <p>H&aelig;c Hero; qu&aelig; tamen fal$a $unt, &amp; contraria experien-
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parents:
diff changeset
2225 ti&aelig;, rationi, &amp; hydro- pnevmaticis principijs. Ni$i enim va$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2226 altitudo ab V ad <G>*w</G> tanta $it, quantum e$t crus internum CD
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diff changeset
2227 Siphonis; non a$cendet aqua per crus CD, ni$i ad tantam al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2228 titudinem, quanta e$t altitudo va$is pr&aelig;dicta ab Y, v$que ad <G>*w</G>.
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diff changeset
2229 Et ratio e$t, quia c&ugrave;m perpendiculum Y <G>*w</G> minus $it, qu&agrave;m
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diff changeset
2230 perpendiculum CD; non pote$t aqua attolli ad altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2231 CD, $ed po$tquam a$cenderit ad altitudinem &aelig;qualem perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2232 diculo Y <G>*w</G>, relabetur intra vas AB. Ioannes Bapti$ta Porta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2233 <pb n=39>
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diff changeset
2234 lib. 2. de $pirital. cap. 3. ait. aquam non effluxuram &egrave; va$e LZ, ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2235 <MARG><I>Error Ioan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2236 nis Bapti$t&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2237 Porta.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2238 lato impedimento apud <G>*w</G>, propter defectum $cilicet perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2239 culi pr&aelig;dicti. Sed ratio &amp; experientia convincit, effluere aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2240 &egrave; va$e; &amp; a$cendere aquam per crus internum ad altitudinem ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2241 plicatam; quod ip$emet Porta alibi fatetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2242 <p>Ut igitur ex va$e AB extrahi po$$it aqua per $iphonem ab$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2243 que eo qu&ograve;d ore attrahatur a&euml;r, oportet loco Va$is LZ adhibere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2244 tubum tant&aelig; longitudinis, quant&aelig; e$t crus CD, im&ograve; paul&ograve; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2245 joris: tunc enim effluente aqu&acirc; ex tubo appen$o a$cendet paula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2246 tim aqua per $iphonem, donec pervenerit u$que ad $ignum V,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2247 quod $uppono e$$e $emper demi$$ius qu&agrave;m e$t $uprema $uperfi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2248 cies aqu&aelig; in Va$e AB: tunc enim $i aufferatur tubus appen$us, ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2249 fluxus aqu&aelig; ex $iphone tam diu durabit, donec tota aqua ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2250 va$e AB effluxerit, $i os C ad fundum v$que va$is pertigerit. Vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2251 de Salomonem de Caus lib. 1. de viribus motricibus. Vide pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2252 terea qu&aelig; $cribimus de fluxu aqu&aelig; per $iphones infr&agrave; Protheo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2253 ria IV. Cap. 2. pr&aelig;$ertim Propo$it. XI. ubi in Annotatione 2. no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2254 tamus errorem Marini Mer$enni $imil&etilde; pr&aelig;dicti Heronis errori.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2255 <p>Monuit h&icirc;c, &amp; optim&egrave;, acuti$$ime&qacute;ue P. Paulus Ca$atus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2256 Mathe$eos in Romano no$tro Collegio Profe$$or, qu&aelig; diximus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2257 contra Heronem hoc loco, tunc $ol&ugrave;m haberelocum, quando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2258 $uprema aqu&aelig; $uperficies non e$$et mult&ugrave;m $upra punctum C.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2259 C&aelig;ter&ugrave;m $i vas AB e$t plenum, &amp; perpendicul&utilde; <G>*y*w</G> $uperat per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2260 pendiculum &agrave; $uprema aqu&aelig; $uperficie u$q<*> ad D; poterit a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2261 dere aqua, &amp; per crus DY defluere<*> qu&acirc; $emel defluente, $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2262 per deinde defluet, donec evacuetur vas vsque ad punctum C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2263 quoniam perpendiculum DY $emper manebit longius qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2264 perpendiculum CD.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2265 <C>&sect;. IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2266 <C>In aquarum elevatione vi attractiv&acirc;, habenda e$t ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2267 perpendiculi $ol&ugrave;m illorum tuborum, per quos aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2268 non per quos a&euml;r vehitur.</C>
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parents:
diff changeset
2269 <MARG><I>Tubi per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2270 quos a&euml;r de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2271 fertur in</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2272 <p>NOtat optim&egrave; Ioannes Bapti$ta Porta lib 2. de Spiritalibus. C. 6.
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parents:
diff changeset
2273 &amp; nos etiam $upr&agrave; in fine &sect;. VI. in$inuavimus, in Machinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2274 <pb n=40>
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parents:
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2275 <MARG><I>Machinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2276 attractivis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2277 metu vacui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2278 po$$unt e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2279 quant&aelig;vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2280 longitudinis</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2281 <FIG>
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parents:
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2282 vi attractiva elevan-
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parents:
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2283 tibus aquam, haben-
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parents:
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2284 dam e$$e rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2285 longitudinis ac bre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2286 vitatis $ol&ugrave;m illorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2287 tuborum $eu canali-
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parents:
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2288 um, qui conferunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2289 ad aquarum perpen-
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2290 diculum, &amp; per quos
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2291 tran$ire debet aqua,
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2292 atque adeo quorum
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2293 aqu&aelig; $e mutu&ograve; tra-
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2294 here ac v<*> de-
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2295 bent, <*>
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2296 quoru<*>
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diff changeset
2297 $ol&ugrave;<*>
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2298 bet. <*>eli-
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2299 &ugrave;s intelligatur, in<*>-
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2300 ciat<*> figura porta
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2301 $upr&agrave; &sect;. citato, in qua
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2302 figura h<*>enda e$t
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2303 $ol&ugrave;m ratio tubor&utilde;
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2304 BK, &amp; EF; hi enim
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diff changeset
2305 duo continent aquas
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2306 quarum perpendi-
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diff changeset
2307 cula ad invicem pu-
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diff changeset
2308 gnant, juxta dicenda infr&agrave; Protheoria IV. cap. 2. Propo$it. 13.
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diff changeset
2309 tubus ver&ograve; OI pote$t e$$e quant&aelig;vis longitudinis aut brevita-
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diff changeset
2310 tis, ac proinde vas C pote$t e$$e &amp; infra &amp; $upra vas B. Patet
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diff changeset
2311 hoc experientia, vt dicemus loco citato; vbi etiam experienti&aelig;
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2312 cau$am dabimus.
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2313 <C>&sect;. X.</C>
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2314 <C>Vi attractiv&acirc; elevari pote$t aqua vltra perpen-
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diff changeset
2315 culi altitudinem, a&euml;re mediante.</C>
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2316 <pb n=41>
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diff changeset
2317 <p>Ingenio$$imum $an&egrave; modum Natur&atilde; quodamodo decipiendi,
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diff changeset
2318 &amp; aquam vltra perpendiculi &agrave; Natura requi$iti altitudinem e-
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diff changeset
2319 levandi vi attractiva, affert Porta loco proxim&egrave; citato, cap. 11.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2320 aitque $e illum ca$u reperi$$e inter cont<*>uas hydraulicas atque
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diff changeset
2321 pnevmaticas experientias quas fecit. Fit hoc a&euml;re mediante,
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diff changeset
2322 aqu&aelig; immi$to. Hac ratione, inquit Porta, perpendiculo 50.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2323 pedum elevari pote$t aqua ad altitudinem pedum 80. Modus
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diff changeset
2324 hic e$t.
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2325 <FIG>
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2326 <p>Sit ex va$e AB portatili e-
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diff changeset
2327 <MARG><I>Experimen
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diff changeset
2328 tum Porta
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parents:
diff changeset
2329 ad aquam
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diff changeset
2330 elevandam
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parents:
diff changeset
2331 vltra perp&etilde;-
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diff changeset
2332 diculi alti-
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diff changeset
2333 tudinem.</I></MARG>
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diff changeset
2334 levanda aqua ad vas D, ad alti-
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diff changeset
2335 tudinem pedum 80. Fiat canalis
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2336 vitreus GK (vt$pectari, oculis-
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2337 que percipi manife$t&egrave; po$$itar-
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diff changeset
2338 tificium) vtrimque apertus, &amp;
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diff changeset
2339 va$i D optim&egrave; coarctatus a-
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2340 pud K. Fiat deinde vas C, &aelig;-
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diff changeset
2341 qualis aut maioris capacitatis,
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diff changeset
2342 qu&agrave;m vas D; in$eratur&qacute;ue v-
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diff changeset
2343 trique canalis PQ vtrimque a-
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2344 pertus immediat&egrave; $ub operculis
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parents:
diff changeset
2345 $eu tectis va$orum. Tandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2346 ex va$e C de$cendat perpendi-
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parents:
diff changeset
2347 culariter canalis EF quinqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2348 ginta pedum longitudinis, ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2349 bens epi$tomium E, &amp; $it opti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2350 m&egrave; adferruminatus fundo va$is C. His factis, impleantur va$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2351 AB, &amp; C, aqu&acirc;, admoveatur&qacute;ue vas AB tubo GK, ita vt o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2352 $culum G $it aqu&aelig; immer$um, &amp; aperiatur epi$tomium E; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2353 $cendet aqua ex va$e C, $ecumque trahet a&euml;rem ex tubis QP,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2354 &amp; KG, &amp; ex va$e D, $imulque aquam ex va$e AB. Po$tquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2355 a$cenderit aqua intra canalem GK v$que ad aliquod $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2356 exiguum, v.g. v$que ad H; remove aliquantul&ugrave;m vas AB; &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2357 aqua canalis a$cendet vlteri&uacute;s, tracta $cilicet ab aqua effluente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2358 per FE) &amp; po$t aquam $equetur a&euml;r. Admove deinde iterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2359 <pb n=42>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2360 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2361 vas AB, &amp; attrahetur alia aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2362 erit&qacute;ue a&euml;r HI inter aquam
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parents:
diff changeset
2363 GH, &amp; IM. Iterum remove vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2364 AB, &amp; ingredietur per os G alius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2365 a&euml;r, $equeturque aquam. Quo
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parents:
diff changeset
2366 facto, $i vas iterum adm&ocirc;ris, di-
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parents:
diff changeset
2367 ctamq; operationem repetive-
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parents:
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2368 ris; a$cendent tandem aqua &amp;
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parents:
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2369 a&euml;r mi$ti inter $e, v$que ad vas D,
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parents:
diff changeset
2370 illudque replebunt, antequ&atilde; ef-
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parents:
diff changeset
2371 fluat tota aqua va$is C, quod ob
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parents:
diff changeset
2372 id minus e$$e debet quam vas D.
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parents:
diff changeset
2373 <p>Procedendum e$t autem
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parents:
diff changeset
2374 valde caut&egrave; in hoc negotio, n&egrave;
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parents:
diff changeset
2375 nimium a&eacute;ris ingrediatur per os
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parents:
diff changeset
2376 G, &amp; levitate $ua $ur$um ten-
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parents:
diff changeset
2377 dens pellat modicam aquam
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parents:
diff changeset
2378 antea in tromiffam, repleatque totum canalem GK, $icque de-
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parents:
diff changeset
2379 $truatur continuitas aqu&aelig; &amp; a&euml;ris intra canalem: hoc enim $i
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parents:
diff changeset
2380 fieret, non repleretur vas D, ni$i po$t longi$$imum tempus, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2381 multas operationes, deberetque $&aelig;pius repleri vas C. Nun-
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parents:
diff changeset
2382 quam pr&aelig;terea tantum aqu&aelig; $imul continere debet canalis
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parents:
diff changeset
2383 GK, vt ejus perpendiculum $uperet perpendiculum aqu&aelig; ca-
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parents:
diff changeset
2384 n alis EF. Ex hac praxi deducit Porta modum mirabilem, &amp;
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parents:
diff changeset
2385 omnibus antiquis ignotum, ut ip$e ait, elevandi per $iphonem
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diff changeset
2386 inver$um aquam &egrave; montis radice ad ejus verticem; quem mo-
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diff changeset
2387 dum afferam infr&agrave; Protheoria IV. cap. 2. Propo$it. 12. ex
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diff changeset
2388 quo etiam loco meli&ugrave;s intelligetur hoc
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diff changeset
2389 pr&aelig;$ens Experimentum.
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2390 <pb n=43>
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diff changeset
2391 <C>Protheoria II.</C>
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diff changeset
2392 <C>PROTHEORIA
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diff changeset
2393 SECVNDA.</C>
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2394 <C>De vi Expul$iva propter corporum impe-
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diff changeset
2395 netrabilitatem; $eu de $ecundo Machinarum Hy-
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diff changeset
2396 dropnevmaticarum principio.</C>
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diff changeset
2397 <C>&sect;. I.</C>
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diff changeset
2398 <C>Omnia Vniver$i corpora $unt inter $e
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diff changeset
2399 contigua.</C>
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diff changeset
2400 <p>COrpora omnia, qu&aelig; DEVS Optimus Maximus
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diff changeset
2401 <MARG><I>Corpora o-
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diff changeset
2402 mnia Vni-
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diff changeset
2403 ver$i conti-
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diff changeset
2404 gua inter $e.</I></MARG>
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diff changeset
2405 in prima rerum conditione intra pr&aelig;$titutum in Vni-
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diff changeset
2406 ver$i ambitu conclu$it locum, C&oelig;lum dico, Elemen-
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diff changeset
2407 ta, &amp; Mixta, tali $unt ordine di$po$ita, ut multi, nec
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diff changeset
2408 vulgares Philo$ophi, exi$timent, motum localem in Mundo non
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diff changeset
2409 futur&utilde; ullum, ni$i aut concedatur di$per$um per omnia vacuum
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diff changeset
2410 (quale vidimus invehere Heronem, alio$que nonnullos) aut
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diff changeset
2411 corporum mutua penetratio, aut rerum omnium commotio,
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diff changeset
2412 atque permixtio. Audi Epicurum apud Diogenem La&ecirc;rtium
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diff changeset
2413 lib. 10. in Epi$tola ad Herodotum, ubi ait. <G>*ei) de\ mh\ h)_n o( kai\ xeno\s, kai\
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diff changeset
2414 xw/<*>an, kai\ a)naf<*> fu/sin o)noma/comen, <*>x a)/n ei)_xe ta\ sw/mata o(/p<*>n <*>de\ di) <*>
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diff changeset
2415 exinei_to, xa<*>a/pe<*> fa/inetw xin<*>mena</G> <I>Ni$i ver&ograve; id e$$et quoque, quod &amp;
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diff changeset
2416 inane,</I> $eu vacuum, <I>&amp; regionem,</I> $eu $patium, <I>ac locum &amp; intacti-
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diff changeset
2417 lem</I> $ive in corpoream <I>naturam vocamus; non haberent corpora ne-
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diff changeset
2418 que ubi e$$ent, neque qu&agrave; motus $uos obirent; c&ugrave;m moveri ea quidem
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diff changeset
2419 manife$tum $it.</I>
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diff changeset
2420 <p>Hanc autem, quam petitam ex motu rationem in$inuat
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diff changeset
2421 <MARG><I>Argumen-
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diff changeset
2422 tum Epicuri
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diff changeset
2423 Leucippi, ac
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diff changeset
2424 Democriti
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diff changeset
2425 pro vacuo.</I></MARG>
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diff changeset
2426 $olummod&ograve; Epicurus, deducunt manife$ti&ugrave;s Democritus atque
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diff changeset
2427 Leucippus (quos $ecutus e$t Epicurus) apud Ari$totelem lib. 4.
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diff changeset
2428 Phy$. tex. 6. (ubi etiam alteram de corporum penetratione ur-
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diff changeset
2429 gent) his verbis <G><*> ga\<*> a)\n doxo/ih ei)/nai ei) m<*> xeno\n. to\ ga/<*> pl<*>es a)du/na-
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diff changeset
2430 ton ei)/nai de/ca<*></G>, &amp;c. <I>Non videtur quippe e$$e motus, ni$i $it inane.
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diff changeset
2431 Quod enim plenum e$t, admittere in $e mobile non pote$t. Nam $i ad-</I>
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diff changeset
2432 <pb n=44>
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diff changeset
2433 <MARG><I>Corporum
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parents:
diff changeset
2434 penetratio
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parents:
diff changeset
2435 non pote$t
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parents:
diff changeset
2436 fieri natu-
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diff changeset
2437 raliter.</I></MARG>
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diff changeset
2438 <I>mittat, &amp; fuerint in eodem loco duo corpora; nihil repugnabit, qu&ograve; mi-
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diff changeset
2439 n&ugrave;s quotquot libuerit, $imul $int; quia dici, cur id non valeat evenire,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2440 minim&egrave; pote$t. Sin autem eveniat, tunc quod minimum, id admittet
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diff changeset
2441 quod maximum; quando ip$um magnum multa parva e$t: adeo ut $i
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diff changeset
2442 multa &aelig;qualia in eodem e$$e contigerit, e$$e &amp; in &aelig;qualia contingat.</I> Ean-
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parents:
diff changeset
2443 dem con$ecution&etilde; deducit Lucretius in $ua ver$ibus ligata Phi-
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parents:
diff changeset
2444 <MARG><I>Vacuum n&otilde;
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parents:
diff changeset
2445 admittit
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parents:
diff changeset
2446 Lucretius.</I></MARG>
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parents:
diff changeset
2447 lo$ophia; additque non $ol&ugrave;m, $i Inane $eu Vacuum non admit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2448 tatur, rem nullam exijs qu&aelig; $unt, moveri, $ed nec ullam denu&ograve;
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parents:
diff changeset
2449 na$ci po$$e in mundo.
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parents:
diff changeset
2450 <C><I>Qu&aelig; $i non e$$et Inane,</I></C>
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diff changeset
2451 <p><I>Non tam $olicito motu privata careret, Qu&agrave;m genita omnin&ograve; nulla ra-
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parents:
diff changeset
2452 tione fui$$et, vndique materies quoniam $tipata fui$$et.</I> Cogita enim
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parents:
diff changeset
2453 vniver$um mundum (ait vir docti$$imus Petrus Ga$$endus in
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parents:
diff changeset
2454 $uis de Phy$iologia Epicuri Animad ver$ionibus, ex Epicuri men-
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diff changeset
2455 te,) $i nihil Inanis inter$per$um habeat, conferti$$imam e$$e mo-
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parents:
diff changeset
2456 lem, adeo ut n&egrave; minimum quidem corpu$culum valeat de novo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2457 $u$cipere (quod quidem a$$erendum nece$$ari&ograve; e$t, $i nullum in
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parents:
diff changeset
2458 rebus Inane, $i nihil non plenum, $i locus nullus re$tat complen-
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parents:
diff changeset
2459 dus.) Quare aut corpus non admittetur denu&ograve; genitum, aut in
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parents:
diff changeset
2460 illo loco collocabitur, in quo aliud jam $itum e$t; $icque idem
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parents:
diff changeset
2461 locus duo corpora $e$e undique penetrantia capiet. Quod $an&egrave;
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parents:
diff changeset
2462 per vires Natur&aelig; fieri po$$e non dixeris, ut ut alij id a$$erant, in-
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parents:
diff changeset
2463 ducti exemplo panis, $pongi&aelig;que $icc&aelig; aquam, cui injiciuntur,
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parents:
diff changeset
2464 in$ugentis; &amp; cinerum tantundem aqu&aelig; in con$ortium $uum ad-
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parents:
diff changeset
2465 mittentium in va$e, quantum $ine cineribus vas recipere pote$t.
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parents:
diff changeset
2466 <MARG><I>Argumen-
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parents:
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2467 tum Epicu
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parents:
diff changeset
2468 reorum ac
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parents:
diff changeset
2469 Democriti
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parents:
diff changeset
2470 torum pro
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casties
parents:
diff changeset
2471 vacuo.</I></MARG>
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parents:
diff changeset
2472 <p>Si ab$onum videtur vacuum admittere, $i <G>a)du/naton</G> corpo-
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parents:
diff changeset
2473 rum dari penetrationem, &amp; tamen motum admittimus localem;
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parents:
diff changeset
2474 $u$que deque verti corpora omnia, qu&aelig; Univer$o concluduntur,
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parents:
diff changeset
2475 fateamur nece$$e e$t toties, quoties eorum unum movebitur, di-
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parents:
diff changeset
2476 cet Democriticus qui$piam, aut Epicureus: moveatur enim
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diff changeset
2477 quodcunque eorum, qu&aelig; $unt, de $uo quem occupat loco, alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2478 riu$que in vadere tentet $tationem; $an&egrave; c&ugrave;m locum plenum
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parents:
diff changeset
2479 offendat, nece$$e erit, ex eo pellat, quod corpus illum occupat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2480 Illud porr&ograve; qu&oacute;nam concedat, $i omnia quidem plena $unt? An
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2481 <pb n=45>
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parents:
diff changeset
2482 non ip$um rur$us expellet aliud? At de eo par redibit difficultas:
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parents:
diff changeset
2483 hoc enim, aliud expellere loco debebit; &amp; illud aliud; $icque con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2484 tinuari nece$$e erit inchoatam $omel corporum commotionem
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diff changeset
2485 in &aelig;vum, &amp; totum commoveri Vniver$um vel ad mu$c&aelig; vola-
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parents:
diff changeset
2486 tum. Si enim vel unum corpus cedere loco non valeat, aut non
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parents:
diff changeset
2487 volet, omnis ce$$abit illic&ograve; motus, eritque unaqu&aelig;que res mun-
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parents:
diff changeset
2488 di $ic in$erta in aliam, ut magis &egrave; loco excedere nequeat, qu&agrave;m
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parents:
diff changeset
2489 mytuli (inquit Ga$$endus paul&ograve; ant&egrave; citatus) $eu cochle&aelig; ill&aelig;,
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parents:
diff changeset
2490 qu&aelig; intra $ilices na$cuntur. Neque dicas, e$$e in mundo rara,
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parents:
diff changeset
2491 liquida, fluxaque corpora, qu&aelig; cedere magis qu&agrave;m $ilices po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2492 $int. Sint enim quantum vis rara, fluxa, &amp; cedere nata; $i admi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2493 $tum Inane non habent, $i particul&aelig; omnes illorum contiguita-
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parents:
diff changeset
2494 tem undique, $eu $ecund&ugrave;m totas $uperficies habent; tale con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2495 tinuum corpus facient, ut perinde $it $eu ex $ilice, $eu ex aqua, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2496 ex a&euml;re illud dicas: neque enim a&euml;r vel paucioribus, vel min&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2497 compactis $ui partibus occupabit locum minorem, qu&agrave;m $ilex,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2498 c&ugrave;m quotcunque loci particulas feceris, tam nulla earum $it a&euml;-
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parents:
diff changeset
2499 ris, qu&agrave;m $ilicis particul&aelig; expers. Hactenus Democritici, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2500 Epicurei.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2501 <C>&sect;. II.</C>
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parents:
diff changeset
2502 <C>Corpora $e mutu&ograve; expellunt.</C>
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parents:
diff changeset
2503 <p>HIs quid reponendum, viderint Philo$ophi. Ari$toteles certe,
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parents:
diff changeset
2504 <MARG><I>Corpora ex-
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parents:
diff changeset
2505 pellunt $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2506 mutu&ograve;.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2507 qui nec vacuum admittit, nec corporum penetrationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2508 mutuam, nequaquam timet rerum omnium ad quemlibet mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2509 tum commotionem; quoniam liquida non $ol&ugrave;m pelluntur, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2510 dividuntur etiam dum urgentur; &amp; qu&aelig; antror$um vergebant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2511 partes, latera lambentes claudunt terga. At quidquid $it, tam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2512 evidens e$t, corpus unum expellere alterum &egrave; $uo, quem occu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2513 pat, loco, ni $ponte excedere velit, qu&agrave;m e$t manife$tum, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2514 <MARG><I>Experim&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2515 ta varia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2516 quibus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2517 batur cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2518 pora$e mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2519 mutu&ograve; ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2520 pellere.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2521 tum dari localem; idque verum e$t non tant&ugrave;m in duris $oli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2522 di$v&eacute;, $ed liquidis etiam ac fluidis corporibus, a&euml;re dico, &amp; aqua.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2523 videmus enim quotidie, aquam va$i, tuboque a&euml;re pleno illa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2524 bentem, expellere a&euml;rem, $i exeundi locum habet; &amp; $i non ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2525 bet, neque aquam po$$e, aut velle infundi. Videmus item a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2526 <pb n=46>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2527 rem inflatum va$i per os unum, expellere aquam per alterum, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2528 etiam per idem, $i elabendi detur locus; qui $i non datur, nec a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2529 ri patere ingre$$um. Videmus follibus compre$$is erumpere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2530 a&euml;rem, &amp; aquam etiam, $i aqu&acirc; erant repleti. Videmus, $i va$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2531 aqu&acirc; pleno operculum in medio perforatum imponamus, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2532 primamu$que, aquam pre$$am, $i inter latera va$is &amp; opercu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2533 lum erumpere non pote$t, ex$ilire per foramen magno impetu.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2534 Taceo centena exempla alia. Atque h&aelig;c mutua corporum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2535 pul$io alterum e$t Machinarum Hydro-pnevmaticarum prin-
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parents:
diff changeset
2536 cipium, quo innumera, &amp; non min&ugrave;s iucunda, qu&agrave;m admiran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2537 da exhibentur $pectacula pa$$im, vt apparebit aperti$$im&egrave; ex $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2538 quentibus Machinis. Interim$equens accipe Experimentum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2539 <C>&sect;. III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2540 <C>Experimentum, quo o$tenditur vis expul$iva, propter
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parents:
diff changeset
2541 corporum impenetrabilitatem, ad aquas elevan-
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parents:
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2542 das in altum.</C>
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parents:
diff changeset
2543 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2544 <p>FAcex$tanno, cu-
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parents:
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2545 pro, creta, ligno,
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parents:
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2546 aut alia quacunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2547 materia aquis re$i-
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casties
parents:
diff changeset
2548 $tente tria va$cula
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parents:
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2549 A, F, &amp; G, columnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2550 inter$e di$tincta, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2551 mon$trat figura; aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2552 alia ratione, prout
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2553 placuerit, aut com-
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parents:
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2554 modi&ugrave;s fuerit: $int-
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parents:
diff changeset
2555 &qacute;ue h&aelig;c va$cula vn-
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parents:
diff changeset
2556 dique clau$a qu&agrave;m
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casties
parents:
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2557 diligenti$$ime, n&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2558 a&euml;r po$$it aut ingre-
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casties
parents:
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2559 di, aut elabi, $altem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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2560 ex A &amp; G. Vas infe-
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parents:
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2561 rius G habeat epi-
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casties
parents:
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2562 $tomi&utilde; I. per quod
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casties
parents:
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2563 <pb n=47>
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casties
parents:
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2564 aqua effluere po$$it. Va$a A &amp; F habeant in operculis forami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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2565 na C &amp; E, vt per ea infundi po$$it aqua, &amp; iterum obturari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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2566 Exva$e A egrediatur tubulus AB vtrimque, apertus qui apud
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casties
parents:
diff changeset
2567 A fundum va$is non attingat, $ed tantum ab illo di$tet, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2568 aqua interfluere po$$it: apud B ver&ograve; habeat o$culum $tricti$$i-
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diff changeset
2569 mum. Habeat pr&aelig;terea epi$tomium K. Ex eodem va$e A de-
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diff changeset
2570 $cendat intra vas inferius G alius tubulus DN, vtrimque aper-
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diff changeset
2571 tus, qui apud D non attingat operculum va$is A, $ed tantum
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diff changeset
2572 ab illo di$tet, vt po$$it egredi a&euml;r: apud H ver&ograve; tran$eat $olum
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diff changeset
2573 operculum va$is G, &amp; non extendatur vlteri&ugrave;s.&verbar; Ex va$e deni-
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diff changeset
2574 que F de$cendatintra vas G alius tubus FG vtrimque aper-
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diff changeset
2575 tus, qui apud F tran$eat $ol&ugrave;m fundum va$is, &amp; non progredia-
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parents:
diff changeset
2576 tur vlteri&ugrave;s; apud G ver&ograve; di$tet tantum &agrave; fundo, vt aqua ef-
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parents:
diff changeset
2577 fluere po$$it, habeatque vas G epi$tominm L. Hi tres tubi
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parents:
diff changeset
2578 debentita $tanno alia v&egrave; materia coarctari, &amp; adferruminari va-
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parents:
diff changeset
2579 $is in loco tran$itus, vt nullus a&euml;r penetrare intra va$a, aut elabi
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diff changeset
2580 ex ijsdem po$$it. Cavendum pr&aelig;terea diligenter e$t, n&egrave; tubu-
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parents:
diff changeset
2581 lus AB $it longior, aut &aelig;qu&egrave; longus, ac tubulus FG; quare
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parents:
diff changeset
2582 meli&ugrave;s erit, $i inter B &amp; K decurtetur quantum pote$t, &amp; qu&agrave;m
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diff changeset
2583 minimum extra vas A protendatur.
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diff changeset
2584 <p>His ita rit&egrave; pr&aelig;paratis, repleantur aqua duo va$a A &amp; F, per
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parents:
diff changeset
2585 foramina C &amp; E, &amp; obturentur qu&agrave;m diligenti$$im&egrave;, maxim&egrave;
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parents:
diff changeset
2586 foramen C (foramen enim E pote$t manere apertum;) vas
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parents:
diff changeset
2587 ver&ograve; G maneatvacuum; &amp; omnia epi$tomia $int clau$a. De-
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parents:
diff changeset
2588 inde aperiatur epi$tomium L, vt aqua va$is F defluere po$$it
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parents:
diff changeset
2589 intra vas G: &amp; po$tquam defluxit aliquantulum aqu&aelig;, aperia-
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parents:
diff changeset
2590 tur epi$tomium K; erumpet&qacute;ue maximo impetu aqua va-
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parents:
diff changeset
2591 $is A per tubulum AB, pro$ilietque in altum, vi expul$iva, pro-
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parents:
diff changeset
2592 pter corporum impetrabilitatem. N&agrave;m aqua va$is F de$cen-
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diff changeset
2593 dens intra vas G, expellit inde a&euml;rem per tubum HD intra vas
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diff changeset
2594 A; qui aer expellit inde aquam per tubulum AB, quoniam ne-
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parents:
diff changeset
2595 que in G, neque in A, a&euml;r &amp; aqua $imul in eodem loco manere
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parents:
diff changeset
2596 po$$unt, $ed nece$$ari&ograve; vnum corpus expellit alterum, propter
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parents:
diff changeset
2597 eorum impenetrabilitatem. Vides igitur quomodo vis expul-
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diff changeset
2598 $iva propter corporum impenetrabilitatem $it principium &amp;
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diff changeset
2599 <pb n=48>
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parents:
diff changeset
2600 cau$a Machinarum Hydro- pnevmaticarum? Vbi de$cenderit
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parents:
diff changeset
2601 aqua va$is F intra vas G, &amp; ex$iliuerit aqua va$is A per tubum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2602 AB; depromi poterit aqua va$is G per epi$tomium I, &amp; reple-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2603 ri iterum va$a A &amp; F, vt antea, &amp; in$titui idem lu$us.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2604 <C>&sect;. IV.</C>
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diff changeset
2605 <C>Notantur nonnulla circa pr&aelig;dictum
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parents:
diff changeset
2606 Experimentum.</C>
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parents:
diff changeset
2607 <MARG><I>Fundame-
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parents:
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2608 tum omni-
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parents:
diff changeset
2609 um Machi-
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parents:
diff changeset
2610 narum Hy-
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parents:
diff changeset
2611 dro-, nev-
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parents:
diff changeset
2612 maticarum
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parents:
diff changeset
2613 qu&aelig; fiunt vi
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parents:
diff changeset
2614 expul$iva.</I></MARG>
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parents:
diff changeset
2615 <p>HOc experimentum e$t fundamentum omnium Hydro-
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parents:
diff changeset
2616 pnevmaticarum Machinarum qu&aelig; fiunt vi expul$iva ob cor-
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parents:
diff changeset
2617 <FIG>
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parents:
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2618 porum impenetra-
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parents:
diff changeset
2619 bilitatem; ideoque
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parents:
diff changeset
2620 Tyrones diligenter
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parents:
diff changeset
2621 procurare debent,
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parents:
diff changeset
2622 vt illud intelligant:
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parents:
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2623 quare nonnulla cir-
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parents:
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2624 ca ips&utilde; $unt adver-
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parents:
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2625 tenda.
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parents:
diff changeset
2626 <p>Primum e$t, ex-
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parents:
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2627 pedire vt vas A non
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parents:
diff changeset
2628 $it min&ugrave;s capax qu&atilde;
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parents:
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2629 vas F, &amp; vt tubus
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parents:
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2630 FG non $it amplior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2631 tubo AB: $ic enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2632 fiet, vt qu&agrave;mdiu a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2633 qua ex va$e F de$c&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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2634 dit intra G, tamdiu
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parents:
diff changeset
2635 $aliat aqua ex vase A
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parents:
diff changeset
2636 per tubum AB. Hoc
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parents:
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2637 tam&etilde; non e$t omni-
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parents:
diff changeset
2638 n&ograve; nece$$arium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2639 <p>Secundum e$t, Non e$$e nece$$arium, vt fiat vas F, $ed fie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2640 ri pote$t$olus canalis $eu tubus FG, qui apud F habeat infun-
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parents:
diff changeset
2641 dibulum, vt aqua infundi po$$it; dummod&ograve; $it longior qu&agrave;m
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parents:
diff changeset
2642 tubus AB; vt mox dicam.
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casties
parents:
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2643 <pb n=49>
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parents:
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2644 <p>Tertium e$t, omnin&ograve; nece$$ari&utilde; e$$e, vt tubus FG longi-
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parents:
diff changeset
2645 or $it quam tubus AB, quia, vt diximus Protheoria I. &sect;. VI. &amp; di-
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parents:
diff changeset
2646 cemus iterum infr&agrave; Protheoria IV. cap. 2. Propo$it. 14. h&icirc;c et-
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parents:
diff changeset
2647 iam, vt vbiq, in hydraulicis, perpendiculis certatur, non ver&ograve; a-
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parents:
diff changeset
2648 quar&utilde; copi&acirc;. Perpendicul&utilde;&verbar;aut&etilde; tubi FG computatur ab F v$q; ad
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casties
parents:
diff changeset
2649 <MARG><I>Perpendi-
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parents:
diff changeset
2650 culis, non a-
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casties
parents:
diff changeset
2651 qudrum co-
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casties
parents:
diff changeset
2652 pi&acirc; certatur
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casties
parents:
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2653 in hydrau-
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casties
parents:
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2654 licis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2655 $upremam $uperfici&etilde; aqu&aelig; de$cendentis &amp; quie$centis in va$e G.
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casties
parents:
diff changeset
2656 Qu&ograve; ver&ograve; longius fuerit perpendiculum FG $upra perpendicu-
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casties
parents:
diff changeset
2657 lum AB e&ograve; alti&ugrave;s $alit aqua ex o$culo B. Quare c&ugrave;m in prin-
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casties
parents:
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2658 cipio, quando incipit de$cendere aqua intra vas G, longius $it
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casties
parents:
diff changeset
2659 perpendiculum FG, qu&agrave;m po$tea (repleto paulatim va$e G)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2660 &amp; id $&etilde;per magis ac magis minuatur; con$equens e$t, vtin prin-
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diff changeset
2661 cipio alti&ugrave;s $aliat aqua ex B, qu&agrave;m po$t principium, &amp; vt $em-
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2662 per min&ugrave;s &amp; min&ugrave;s alt&egrave; ex$iliat. Vide etiam qu&aelig; dicimus in-
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diff changeset
2663 fr&agrave; Parte 2. Cla$se I. cap. 2. Machina I. Annot. 2.
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diff changeset
2664 <p>Quartum e$t, Non $ol&ugrave;m $ervandam e$$e proportionem
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2665 quoad longitudinem inter tubos AB, &amp; GF, $ed etiam quoad
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diff changeset
2666 capacitatem, n&egrave; $cilicet AB laxior $it qu&agrave;m GF; alioquin gra-
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diff changeset
2667 vior erit aqua intra ip$um, qu&agrave;m vt elevari po$$it ab a&euml;re modi-
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diff changeset
2668 co intra vas A pul$o &agrave; modica aqua cadente intra vas G. Si
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diff changeset
2669 ver&ograve; FG tubus laxior e$$e<*> qu&agrave;m AB, nimis cit&ograve; repleretur
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diff changeset
2670 vas G, &amp; antequam tota aqua va$is A expelleretur per AB.
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diff changeset
2671 <p>Quintum e$t, Nihil referre quant&aelig; $it altitudinis tubus HD,
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2672 per quem a&euml;r defertur, quia nihil confert ad perpendiculum. Pro-
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diff changeset
2673 curandum tamen e$t, n&egrave; $it nimis laxus, ali&agrave;s mult&ugrave;m a&euml;ris intra
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diff changeset
2674 ip$um ab$orberetur, qui alioquin expelli deberet intra vas A.
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2675 <p>Sextum e$t, pr&aelig;dictum artificium elevandi aquam vi ex-
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diff changeset
2676 pul$iva propter corporum impenetra bilitatem, e$$e typum &amp;
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diff changeset
2677 exemplar omnium Machinarum Hydro-pnevmaticarum pr&aelig;-
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diff changeset
2678 dicta virtute animatarum; ac proinde $emperante oculos
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diff changeset
2679 in $imilibus Machinis fabricandis e$$e habendum,
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diff changeset
2680 vtin principio dicebam.
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2681 <pb n=50>
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diff changeset
2682 <C>&sect; V.</C>
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diff changeset
2683 <C>Heronis error in elevando oleo vi Expul$iv&acirc;
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diff changeset
2684 in lucerna.</C>
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diff changeset
2685 <p>HEro Alexandrinus in libello de Spiritalibus cap. 72. proponit
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diff changeset
2686 hanc Machinam. <I>Lucern&aelig; con$tructio, vt <note>lychno</note> ellychnio impo-
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diff changeset
2687 $ito, quando oleum deficiat, ex aure eius oleum in <note>lychnum</note> ellychnium infun-
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diff changeset
2688 datur, quantum quis voluerit, nullo ip$i appo$ito va$e, ex quo oleum in-
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diff changeset
2689 <MARG>Error He-
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2690 ronis in lu-
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diff changeset
2691 cern&aelig; con-
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diff changeset
2692 $tructione.</MARG>
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diff changeset
2693 fluat.</I> Qua quidem in con$tructione errorem committit gravi$-
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diff changeset
2694 $imum ($i tamen ip$ius e$t error, &amp; non poti&ugrave;s Interpretis, qui
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diff changeset
2695 figuras appo$uit) quem h&icirc;c detegere oportet, ne alijs etiam $it
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2696 <FIG>
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diff changeset
2697 errandi occa$io. Quod e&ograve; et-
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diff changeset
2698 iam libenti&ugrave;s facio, qu&ograve;d nec
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2699 Federicus Commandinus, qui
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2700 ex Gr&aelig;co in latinum tran$tulit
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2701 Heronem; nec Ioannes Bapti-
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2702 $ta Aleottus, qui Commandini
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2703 interpretationem red didit Itali-
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2704 cam; nec Ioannes Bapti$ta Porta,
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2705 qui Heronis errorem etiam ob-
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2706 $ervavit, genuinam lucern&aelig; de-
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2707 lineationem dederunt. Eam
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2708 ver&ograve; h&icirc;c dare conabimur, allatis
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2709 <MARG><I>Lucern&aelig;
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2710 Heronis ge-
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2711 auina figu-
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2712 ra.</I></MARG>
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2713 Heronis verbis ex Commandini
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2714 translatione, addendo nonnulla
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2715 verba majoris claritatis gratia,
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2716 qu&aelig; a$teri$cis in margine no-
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2717 tantur. Sic ergo di$currit Hero.
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2718 <I>Con$truatur lucerna, ba$im habens
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2719 concavam, &amp; triangularem in$tar
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2720 pyramidis; $it que ba$is concava</I> AB
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2721 CD, <I>&amp; in ea diaphragma</I> EF. <I>Lu-
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2722 cern&aelig; autem caulis $it</I> GH, <I>&amp; ip$e
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2723 concavus; $upra quem $it concavus
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2724 calathus</I> KL, <I>plurimum olei conti-
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2725 nens. Ex diaphragmate</I> EF <I>pro-</I>
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2726 <pb n=51>
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2727 <I>cedat</I> MN <I>tubus, $imul cum eo perforatus, tantum di$tans &agrave; calathi
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2728 operculo</I> KL <I>(in quo <note>Operculo</note> ellychnium <note>lychnus</note> imponitur) quantum ad a&euml;r is
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2729 exitum $ufficiat. Alius autem tubulus</I> XO <I>demittatur per opercu-
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2730 l<*>m</I> KL <I>di$tans &agrave; fundo calathi, quantum $atis $it ad aqu&aelig; <note>Oki</note> fluxum
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2731 &amp; ex operculo paululum excedens. Exce$$ui ver&ograve; aptetur alius tubulus</I>
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diff changeset
2732 P <I>habens $uperius o$culum ob$tructum; qui tubulus per fundum lychnij
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2733 <note>Lychni</note> impul$us coagmentetur lychno. At tubum autem</I> P <I>adglutine-
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2734 tur alius tubulus exilis, procedens ad extremitatem auris, &amp; $imul com ea
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2735 perforetur, vt in fluat in concavitatem ellychnij, <note>Lychnij</note> foramen habens
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2736 quemadmodum &amp; alij. Et$ub diaphragmate</I> EF <I>conglutinetur clavi-
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2737 cula <note>R.</note> deferens in locum</I> CDEF, <I>ita, vt $i aperiatur, aqua ex loco</I>
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2738 ABEF, <I>in ip$um</I> CDEF <I>tran$eat. Sit autem in operculo</I> AB <I>par-
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2739 rum foramen, <note>S.</note> per quod locum</I> ABEF <I>implebimus aqu&acirc;<*>&amp; qui
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2740 in ip$o e$t a&euml;r, per dictum foramen excedet. Itaque $ublato <note>Lychno</note> ellych-
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2741 nio, calathum oleo imple bimus per tubum</I> XO, <I>a&euml;re per</I> NM <I>tubulum
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2742 excedente, &amp; adhuc per clavem <note>I.</note> apertam, qu&aelig; e$t in fundo</I> C.D,
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2743 <note><I>qu&agrave;</I></note> <I>quando &amp; qu&aelig; e$t in</I> CDEF <I>aqua effluet. Impo$ito igitur <note>Lychno</note> el-
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2744 lychnio per $meri$ma</I> P, <I>quando opus $it oleum infundere, aperiemus
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2745 clavem, <note>R.</note> qu&aelig; in fundo</I> CD; <note><I>in ba$i
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2746 CDEF.</I></note> <I>&amp; aqu&acirc; ex loco</I> ABEF <I>in locum</I>
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2747 CDEF <I>$ecedente, a&edot;r qui e$t in ip$o, per tubum</I> MN <I>ad cala-
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parents:
diff changeset
2748 thum perveniens elidet oleum; quod quidem per tubulum</I> XO, <I>&amp;
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diff changeset
2749 per alium ip$i coh&aelig;rentem ad <note>Lychn&utilde;</note> ellychnium procedet. Quando au-
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diff changeset
2750 tem non ampl&ugrave;s fluere volumus, clavicula <note>R.</note> claudetur, &amp; ce$$abit; &amp;
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2751 rur$us quando opus $it, idem faciemus.</I>
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diff changeset
2752 <p>H&aelig;c Commandinus Heronis Interpres; qu&aelig; ego omni-
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diff changeset
2753 <MARG><I>Heronis lo-
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diff changeset
2754 cus apud
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diff changeset
2755 Comman-
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diff changeset
2756 dinum men
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diff changeset
2757 do$<*>.</I></MARG>
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2758 no mendo$a e$$e exi$timo: puto enim vbique lychnum pro el-
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diff changeset
2759 lychnio ponendum e$$e, &amp; alia pleraque legenda prout in mar-
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diff changeset
2760 gine $unt po$ita a$teri$cis notata. Non potui in venire Gr&aelig;cum
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diff changeset
2761 Heronis textum, vt vt di&ugrave; qu&aelig;$iverim. Tubuli etiam $upra ca-
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diff changeset
2762 lathi operculum di$ponendi $unt $ine dubio, vt nos di$po$uimus,
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diff changeset
2763 quoni&atilde; Heronis textus latinus apud ip$u&mtilde;et Commandinum id
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diff changeset
2764 exigit. Nec mireris Lector, $i $u$picer Commandini pr&aelig;$entem
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diff changeset
2765 Latinum de lucerna textum non e$$e vndequaque corre$pon-
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diff changeset
2766 dentem gr&aelig;co textui; po$thumum enim e$t Opus Commandini,
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diff changeset
2767 <pb n=52>
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diff changeset
2768 nec po$tremam ip$ius manum expertum, vt habetur initio libelli
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diff changeset
2769 in pr&aelig;fatiuncula ad Lectorem. E$t autem in Commandini te-
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parents:
diff changeset
2770 xtu ac $chemate in$ignis error in eo, qu&ograve;d clavicula R trans-
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parents:
diff changeset
2771 mittit aquam qu&aelig; e$t in ABEF intra ba$im EFCD per aper-
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diff changeset
2772 tum $ol&ugrave;m foramen $ine tubulo, qui paul&ograve; longior $it qu&agrave;m tu-
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diff changeset
2773 bulus OX; quod tamen omnino requiritur, vt diximus paul&ograve;
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diff changeset
2774 ant&egrave; &sect;. IV. &amp; cau$am dabimusintr&agrave; Protheoria IV. cap. 2. Pro-
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diff changeset
2775 po$it. 14. experientia $iquidem con$tat, cylindrum aqu&aelig; per fo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2776 ramen de$cendent&etilde; ($i quandoque de$cendit a&euml;re $uccedente)
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diff changeset
2777 in a&ecirc;re libero non habere eandem vim, ac de$cendentem per
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diff changeset
2778 tubum; tamet$i vtrobique $it eadem aqu&aelig; quantitas, cum eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2779 perpendiculo. Cau$a e$t, quia $i liber&egrave; &amp; $ine tubo defluit a queus
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parents:
diff changeset
2780 cylindrus, $ign&utilde; e$t a&euml;rem $ubintrare; $i a&euml;r $ubintrat, ce$$at me-
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diff changeset
2781 tus vacui, ac proinde aqua debet elevari vt labor&atilde;ti Natur&aelig; $uc-
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diff changeset
2782 currat. Qu&ograve;d $i tam $trictum e$t foramen, vt a&euml;r $ubintrare non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2783 po$$it, n&egrave; gutta quidem aqu&aelig; effluet, vt experientia quotidiana
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2784 docet, idque propter vacui metum. Hunc tamen errorem ego
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diff changeset
2785 <MARG><I>Heronis er-
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2786 ror excu$a-
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parents:
diff changeset
2787 tur.</I></MARG>
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2788 nequaquam Heroni ad$cribendum putem, vt Porta facit, $ed
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parents:
diff changeset
2789 exi$timo Heronem produxi$$e tubulum R fer&egrave; v$que fundum
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parents:
diff changeset
2790 CD; $ic enim major erit qu&agrave;m tubulus XO, &amp; aqua per ip$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2791 R decideus habebit perpendiculum pr&aelig;ponderans perpendi-
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diff changeset
2792 culo aqu&aelig; $eu olei a$cendentis per XO.
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diff changeset
2793 <p>Similis error reperitur apud Heronem cap. 36. vbi docet
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diff changeset
2794 $atyri$cum con$truere $uper quadam ba$i, vtrem in manibus te-
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diff changeset
2795 nent&etilde;, cui adiacet labellum; vt infu$o in labellum humore, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2796 vt repleatur, aqua per vtrem in idem labellum in fluat, &amp; non $u-
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parents:
diff changeset
2797 perfundatur, qu&ograve;usque tota per vtrem aqua evacuata fuerit. Ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2798 qua quidem con$tructione de$umpta e$t praxis con$truendi fon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2799 tem Heronis, de quo infr&agrave; Parte 2. Cla$se I. cap. 2. Machi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2800 na 1. 2. &amp; 3. vbi errorem Heronis detegemus;
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parents:
diff changeset
2801 $i tamen Heronis e$t, &amp; non In-
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parents:
diff changeset
2802 terpretis.
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parents:
diff changeset
2803 <pb n=53>
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parents:
diff changeset
2804 <C>&sect;. VI.</C>
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parents:
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2805 <C>Attractione &amp; expul$ione $imul aquam ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2806 vare po$$umus.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2807 <p>DIximus &sect;. IV pr&aelig;cedente, perpen diculum aqu&aelig; cadentis &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2808 pellentis a&euml;rem, longius e$$e debere perpendiculo aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2809 a$cendentis per expul$ionem. Diximus pr&aelig;terea Protheoria I.
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parents:
diff changeset
2810 &sect;. VI. perpendiculum aqu&aelig; cadentis &amp; trahentis a&euml;rem, debe-
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parents:
diff changeset
2811 re $uperare longitudine perpendiculum aqu&aelig; attract&aelig;. Infr&acirc;
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2812 Parte 2. Cla$se I. cap. 1. Machina 7. &amp; cap. 2. Machina 10. &amp; 11. di-
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parents:
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2813 cemus, qua ratione per multiplicationem plurium perp&etilde; dicu-
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parents:
diff changeset
2814 lorum brevium elevari po$$it aqua, tam per expul$ionem, qu&agrave;m
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parents:
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2815 per attractionem, ad quam vis altitudinem. Nunc $ubjiciam
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parents:
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2816 modum attollendi aquam per attractionem &amp; expul$ionem $i-
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parents:
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2817 <MARG><I>Modus in-
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parents:
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2818 genio$us e-
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parents:
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2819 levandi
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parents:
diff changeset
2820 aquam in
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parents:
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2821 quam vis al
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parents:
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2822 titudinem
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parents:
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2823 per attracti
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parents:
diff changeset
2824 onem &amp; ex-
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parents:
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2825 pul$ionem,
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parents:
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2826 $imul.</I></MARG>
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parents:
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2827 fimul ad duplam altitudinem aqu&aelig; cadentis, quoniam ingenio-
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2828 fus e$t, &amp; ad multa pote$t e$$e vtilis. Refert illum Porta lib. 2.
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2829 Spiritalium cap. 2. eumque magnific&egrave; extollit, tanquam &agrave; $e in-
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parents:
diff changeset
2830 ventum; &amp; ait $uperare omnem humanum intellectum, nec vn-
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parents:
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2831 quam in mentem veni$$e antiquis, $e ver&ograve; po$t expen$as multas,
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2832 &amp; labores plurimos illum tandem reperi$$e. Modus hic e$t.
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2833 <FIG>
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parents:
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2834 <p>Sit ex va$e B elevanda
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2835 aqua v$que ad vas E, ad
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2836 altitudinem centum pe-
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2837 dum, mediante perpen-
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parents:
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2838 diculo 50. pedum aqu&aelig;
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parents:
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2839 cadentis. Fiant alia duo
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casties
parents:
diff changeset
2840 va$a A, &amp; C, in eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2841 plano horizontali cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2842 va$e B con$tituta, eju$d&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2843 capacitatis cum B; &amp; in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2844 fra ip$a con$tituatur vas
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parents:
diff changeset
2845 D, cujus $uprema oper-
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casties
parents:
diff changeset
2846 culi pars di$tet &agrave; fundis di-
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parents:
diff changeset
2847 ctorum va$orum 50. pedi-
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parents:
diff changeset
2848 bus. Ex va$e A de$cen-
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parents:
diff changeset
2849 dat in vas D tubus GX, 50.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2850 <pb n=54>
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casties
parents:
diff changeset
2851 <FIG>
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parents:
diff changeset
2852 ped&utilde;; qui tamen ab X ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2853 tendi ac prolongari pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2854 u$que ad H, dummod&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2855 tantum di$tet &agrave; fundo, ut
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parents:
diff changeset
2856 aqua effluere po$$it. Ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2857 beat autem hic tubus epi-
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parents:
diff changeset
2858 $tomium V. Ex va$e B de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2859 $cendat in idem vas D ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2860 us tubus KI, incipiens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2861 paul&ograve; infra operculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2862 apud K, &amp; de$inens pau-
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parents:
diff changeset
2863 l&ograve; infra operculum apud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2864 I. Ex va$e C de$cendat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2865 tubus OP 50. pedum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2866 habens epi$tomium T. Ex
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parents:
diff changeset
2867 va$e E de$cendant in va-
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parents:
diff changeset
2868 $a B &amp; C duo tubi: pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2869 mus NC, incipiens infra operculum apud N, &amp; de$inens in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2870 fra operculum apud C: alter ML, incipiens immediat&egrave; infra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2871 operculum apud M, &amp; de$inens $upra fundum apud L. Lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2872 gitudo ver&ograve; hujus tubi ML ab operculo M u$que ad punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2873 L $it centum pedum. Tria va$a A, B, C, habeant $ua forami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2874 na cum infundibulis F, per qu&aelig; aqua infundi po$$it intra va$a,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2875 &amp; obturari. Vas tamen A pote$t manere apertum. Duo va$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2876 D &amp; E habeant $ua epi$tomia H &amp; S. Omnia pr&aelig;terea va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2877 $a, excepto A, debent e$$e undique ac diligenti$$im&egrave; clau$a;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2878 ideoque tubi debent in loco tran$itus accurati$$im&egrave; adferrumi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2879 nari ip$orum va$orum operculis, &amp; fundis. His ita con$titutis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2880 repleantur tria va$a A, B, C, aqu&acirc;, &amp; claudantur, clau$is pri&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2881 omnibus epi$tomijs omnium va$orum ac tuborum: reliqua ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2882 r&ograve; duo va$a, D &amp; E, maneant vacua. Deinde aperiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2883 epi$tomium T; &amp; aqua va$is C de$cendet ver$us P, $ecum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2884 que trahet, ad vacuum vitandum, a&euml;rem va$is E, per tubum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2885 NC, $imulque aquam va$is B u$que ad altitudinem 50. pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2886 <pb n=55>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2887 ubi V, quantum nimirum e$t perpendiculum tubl OP, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2888 quem aqua cadit. Po$tquam ver&ograve; aqua de$cenderit hinc u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2889 ad P, inde u$que ad V, h&aelig;rebit utrimque velut in &aelig;quilibrio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2890 immobilis, propter perpendiculorum &aelig;qualitatem. Tum ver&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2891 aperiatur epi$tomium V, &amp; aqua va$is A de$cendet intra vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2892 D, indeque expellet a&euml;rem per tubum IK intra vas B; qui a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2893 premet aquam, atque propellet $ur$um per tubum LM ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2894 M, $icque elevabitur aqua ultra punctum V, effluetque aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2895 ex tubo OP, penitu$que a$cendet aqua va$is B, per tubum LM,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2896 intra vas E; nec ce$$abit fluxus, donec tria va$a A, B, C, $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2897 fuerint evacuata, totaque aqua B a$cenderitin E. Sijam aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2898 va$orum D &amp; E per $ua epi$tomia depromatur, &amp; va$a A, B, C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2899 denu&ograve; repleantur; in$titui poterit eadem circulatio, idque to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2900 ties, quoties libuerit. H&aelig;c e$t praxis Port&aelig;; ingenio$us atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2901 indu$trius artifex addere, demere, mutare poterit, qu&aelig; libuerit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2902 ornat&ucirc;s aut commoditatis gratia, mod&ograve; non alteretur rel $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2903 $tantia, quam nos pr&aelig;cis&egrave; h&icirc;c dedimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2904 <p>Nota h&icirc;c, ut aperto epi$tomio T de$cendat aqua va$is C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2905 ver$us P, laxandum $imul e$$e epi$tomium V va$is A; alio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2906 quin nunquam de$cendet aqua va$is C, n&egrave; detur vacuum, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2907 con$ideranti patebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2908 <p>Nota pr&aelig;terea, quod diximus de aqua a$cendente ad alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2909 tudinem 50. pedum, tant&ugrave;m gratia exempli fui$$e dictum: nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2910 aqua non pote$t per attractionem&verbar;elevari ad tantam altitudin&etilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2911 ut alibi fu$i&ugrave;s dicemus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2912 <C>&sect;. VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2913 <C>Salomon Caus merit&ograve; $ugillat Heronem.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2914 <p>HEro cap. 55. Spiritalium ait, <I>qu&aelig;dam va$a &agrave; principio humore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2915 injecto fluunt, intermi$$ione ver&ograve; facta non ampli&ugrave;s fluunt injecto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2916 humore, quou$&queacute; ad dimidium repleta fuerint; tunc enim incipiunt flue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2917 re: At intermi$$ione facta, non ampli&ugrave;s fluunt, quou$&que; impleantur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2918 Hujus rei proband&aelig; gratia proponit huju$modi machinam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2919 <pb n=56>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2920 <MARG><I>Heronis Ma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2921 china defe-
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casties
parents:
diff changeset
2922 ctuo$a.</I></MARG>
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casties
parents:
diff changeset
2923 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2924 <I>Sit enim vas</I> AB, <I>habens in $eip$<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2925 tres $iphones inflexos</I> C, D, E, <I>in ven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2926 tre occultatos, quorum altera quidem
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casties
parents:
diff changeset
2927 crura $int ad fundum va$is, altera ve-
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casties
parents:
diff changeset
2928 r&ograve; extra ferantur in canales efforma-
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casties
parents:
diff changeset
2929 ta; atque eorum extremis apponantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2930 va$a</I> F, H, G, <I>quorum fundum di$tet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2931 ab o$culis, quantum ad aqu&aelig; fluxum $a-
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parents:
diff changeset
2932 tis $it. Omnia ver&ograve; comprehendantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2933 alio quodam va$e, tanquam ba$i</I> KLMN,
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parents:
diff changeset
2934 <I>qu&aelig; canalem</I> X <I>habeat. Et $iphonis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2935 quidem</I> C <I>curvit as $it ad fundum va-
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parents:
diff changeset
2936 $is; $iphonis ver&ograve;</I> D <I>curvitas ad di-
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parents:
diff changeset
2937 midium altitudinis ejus &amp; $iphonis</I> E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2938 <I>ad ip$um collum. Si igitur in vas</I> AB
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parents:
diff changeset
2939 <I>aquam infundamus, &agrave; principio quid&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2940 fluet per $iphonem</I> C, <I>quoniam cur-
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parents:
diff changeset
2941 vitas ip$ius e$t ad fundum. Qu&ograve;d $i
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parents:
diff changeset
2942 intermittamus, evacuabitur humidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2943 infu$um per canalem</I> X, <I>&amp; vas</I> F <I>relin quetur aqua plenum, $iphonis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2944 ver&ograve;</I> C <I>reliqua pars a&euml;re plena erit. Rur$um c&ugrave;m aquam infunda-
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parents:
diff changeset
2945 mus, non procedet per $iphonem</I> C, <I>propterea qu&ograve;d a&euml;r in eo contine-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2946 tur inter aquam infu$am, &amp; eam qu&aelig; e$t in va$e</I> F. <I>A$cendet ergo
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parents:
diff changeset
2947 humidum u$que ad $iphonis</I> D <I>curvitatem, qu&aelig; e$t ad dimidium alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2948 tudinis va$is; &amp; tunc fluere incipiet: $ed inter mi$$ione facta, rur$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2949 idem continget quod in $iphone</I> C <I>jam dictum e$t. Eadem &amp; in $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2950 phone</I> E <I>intelligantur. Oportebit autem humidum $en$im infunde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2951 re, n&egrave; a&euml;r, qui in $iphonibus comprehen$us e$t, $umma vi expellatur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2952 H&aelig;c Hero; Qu&aelig; tamen, &amp; quidem optim&egrave;, atque ex Hydro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2953 pnevmatic&aelig; artis principijs, Salomon Caus in $uis hydraulicis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2954 <MARG><I>Heronis <*>r-
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parents:
diff changeset
2955 ror.</I></MARG>
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casties
parents:
diff changeset
2956 $eu lib. 1. de viribus motricibus, reprehendit, dicens effluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2957 aquam per $iphonem C, etiam po$t $ecundam infu$ionem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2958 tra vas, e&ograve; qu&ograve;d a&euml;r contentus intra $iphonem C pellatur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2959 aqua extra inferius o$culum, erumpatque extra aquam va$is F
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2960 <pb n=57>
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casties
parents:
diff changeset
2961 Quod quidem veri$$im&utilde; e$t, c&ugrave;m aqua infu$a intra vas AB per $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2962 cundam infu$ion&etilde;, facillim&egrave; a$cendat per crus internum u$q; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2963 curvitat&etilde; C, non re$i$tente a&euml;re; qui a&euml;r intra $iphon&etilde; CF compre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2964 $us cedit aqu&aelig; a$cendenti prim&ugrave;m u$q, ad curvitat&etilde; C, indeq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2965 de$cendenti pondere $uo, pul$o a&euml;re, erumpente per aquam va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2966 $is F. Adde qu&ograve;d $i tam altum e$$et va$culum F, ut a&euml;r per ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2967 aquam exitum non inveniret; a$cenderet is per $iphonem aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2968 mixtus, prout fieri videmus in canali vitreo quantumvis gracili
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2969 atque longo: $i enim aqu&acirc; aliqu&ograve;usque eum repleas, &amp; ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2970 t&ugrave;rato utroque orificio invertas, ut aqua $uperiorem, a&euml;r inferio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2971 rem occupat locum; $tatim de$cendit aqua, &amp; a$cendita&euml;r, aper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2972 t&acirc; $ibi vel per medias aquas vi&acirc;, ut te$tantur bull&aelig; frequentes in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2973 ter aquas erumpentes; &amp; qui paul&ograve; ant&egrave; $uccumbebat aqu&aelig;, ei-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2974 dem paul&ograve; po$t incumbit a&euml;r.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2975 <C>&sect;. VIII.</C>
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parents:
diff changeset
2976 <C>Idem perpendiculum aqu&aelig; cadentis non pote$t $ervire
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2977 $imul attractioni &amp; expul$ioni.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2978 <p>POrta loco $&aelig;pe citato de $piritalibus Cap. VIII. ait, $e fre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2979 quenter tenta$$e ut aquam eodem perpendiculo mediante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2980 elevaret ad majorem altitudinem, qu&agrave;m perpendiculum erat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2981 partim attractione, partim expul$ione. Eum in finem fecit vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2982 A, ex quo elevare volebat aquam u$que ad vas B, ad alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2983 tudinem pedum centum verbi gratia. Con$truxit igitur aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2984 &aelig;quale vas C in eodem plano, &amp; aliud DF demi$$ius utroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2985 pedibus 50. va$a con$tructa in$truxit tubis &amp; epi$tomijs, prout
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2986 figura mon$trat. Hi$ce peractis, replevit va$a C &amp; A aquis, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2987 diligenter clau$it utrumque, clau$is etiam eadem diligentia va$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2988 B &amp; DE. Deinde aperuit tubum ED, ut de$cendente aqua va$is C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2989 intra vas DE, traheretur a&euml;r ex tubo CK, va$e B, &amp; tubo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2990 IH, $imulque attraheretur aqua va$is A $altem ad L, altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2991 dinem pedum 50; quod &amp; factum fuit. Sperabat&verbar;autem ut a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2992 va$is DF pul$us per tubum EG, intra vas A, expelleret inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2993 <pb n=58>
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casties
parents:
diff changeset
2994 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2995 aliam aquam, &amp; $ublatam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2996 jam antea aquam v$que ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2997 L, attolleret vlteri&ugrave;s v$que
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casties
parents:
diff changeset
2998 ad vas B; at nunquam id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2999 obtinere potuit: nam po$t-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3000 quam a$cenderat aqua v$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3001 que ad L, h&aelig;$it $u$pen$a,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3002 &amp; aqua va$is C non deflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3003 xit ampli&ugrave;s per tubum ED.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3004 Collegit inde, idem per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3005 pendiculum ED non po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3006 $e in$ervire attractioni &amp;
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casties
parents:
diff changeset
3007 expul$ioni $imul, $ed vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3008 $oli attractioni, vel $oli ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3009 pul$ioni; quod ben&egrave; notan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3010 dum e$t. Cau$am dabi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3011 mus infr&agrave; Protheoria IV.
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casties
parents:
diff changeset
3012 capite 2. Propo$it. 13. &amp; 14.
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casties
parents:
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3013 quam tamen ignora$$e Por-
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casties
parents:
diff changeset
3014 ta videtur, quoniam nul-
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casties
parents:
diff changeset
3015 lam ad$ignat.
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casties
parents:
diff changeset
3016 <C>&sect;. IX.</C>
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casties
parents:
diff changeset
3017 <C>Error apud Ioannem Bapti$tam Portam, indicatur.</C>
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casties
parents:
diff changeset
3018 <p>APud Ioannem Bapti$tam Portam lib 2. Spiritalium cap. 10.
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casties
parents:
diff changeset
3019 traditur modus elevandi aquam per expul$ionem ad $tellas
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casties
parents:
diff changeset
3020 v$que, vt ibi dicitur, mediante $olo vnico perpendiculo quin-
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parents:
diff changeset
3021 quaginta verbi gratia pedum altitudinis: qui tamen e$t omnino
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3022 fal$us, &amp; repugnat doctrin&aelig; Port&aelig; in pr&aelig;cedentibus tradit&aelig;;
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casties
parents:
diff changeset
3023 Vnde $u$picabar ab Hi$pano traductore fuiffe additum: crede-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3024 re enim nulla ratione poteram, &agrave; Porta tam enormem errorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3025 potui$$e committi. Reperi tamen deinde eundem modum in
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parents:
diff changeset
3026 <pb n=59>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3027 <FIG>
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casties
parents:
diff changeset
3028 editione latina cap. 9. Modus hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3029 e$t. E$to vas C, &amp; $upra ip$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3030 ad di$tantiam pedum verbi gratia
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parents:
diff changeset
3031 quinquaginta, va$a D &amp; K, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3032 $uis infundibulis; &amp; $upra h&aelig;c ali-
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parents:
diff changeset
3033 ud G; aliudque $upra hoc; &amp; $ic
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parents:
diff changeset
3034 deinceps ad quamvis altitudinem,
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parents:
diff changeset
3035 etiam v$que ad $tellas. Conjun-
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parents:
diff changeset
3036 gantur dicta va$a tubis, vt mon-
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parents:
diff changeset
3037 $trat figura, habeatque tubus DB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3038 $uum epi$tomium, vt &amp; vas C $u-
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parents:
diff changeset
3039 um; &amp; va$a D &amp; K repleantur a-
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parents:
diff changeset
3040 qu&acirc;. Deinde aperiatur epi$tomi-
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parents:
diff changeset
3041 um tubi DB, &amp; aqua de$cendens
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parents:
diff changeset
3042 intra vas C expellet inde a&euml;rem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3043 per tubum FK intra vas K; qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3044 a&euml;r inde expellet aquam per tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3045 bum FG in vas G, &amp; ex G per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3046 tubum HI expelletur aqua in aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3047 vas, &amp; $ic vlteri&ugrave;s. Sed h&aelig;c pror-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3048 <MARG><I>Error apud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3049 Portam.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3050 $us $unt erronea, &amp; contra princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3051 pia hydraulica. Perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3052 enim DB aqu&aelig; cadentis pedum quinquaginta, non pote$t ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3053 vare aliam pr&aelig;ter aquam va$is K per tubum FG pedum etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3054 50. ad $ummum, v$que ad vas G, vbi quie$cet aqua. Dato dein-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3055 de qu&ograve;d ex G po$$et elevari aqua eodem perpendiculo DB, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3056 beret tubus IH pertingere fer&egrave; v$que ad fundum va$is G, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3057 aqua pre$$a intrare po$$et. Fal$us ergo e$t hic modus. Alium nos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3058 trademus infr&agrave; Cla$se I. cap. 2. Machina 4. &amp; 11.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3059 <C>&sect;. X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3060 <C>Alia ratio aquam elevandi in altum propter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3061 Corporum impenetrabilitatem.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3062 <MARG><I>Modui ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3063 vandi aqu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3064 etiam bru
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3065 tis notus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3066 <p>ESt &amp; alia ratio aquam quie$centem atque infu$am va$is ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3067 vandi, in altum, atque in fontes efformandi, quam vel ip$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3068 bruta do cent animalia. De Cervis quippe Lybicis narratur, qu&ograve;d
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3069 <pb n=60>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3070 dum $itientes foveam offendunt aqu&atilde; plenam, culus tamen $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3071 prema $uperficies humilior atq; profundior e$t, qu&agrave;m vt capite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3072 ac collo proten$o eam attingere po$$int, calculos ore &amp; vnguibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3073 a$portantes fove&aelig; injiciant, vt de$identibus in fundum lapidi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3074 bus humor $ub$identium corporum occupatione elevetur, $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3075 perioremque elatus repleat vacuitatem; ita $olerti machinatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3076 ne reficiuntur. Va$is itaq; puteisque $i $olida injicias corpora, qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3077 fundum petant vel $ponte, vel vi depre$$a; elevabitur aqua, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3078 per tubos $uperi&ugrave;s applicatos effluens in fontem formabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3079 Hoc artificio con$tructus erat olim fons ad S. Georg. Venetijs,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3080 <MARG><I>Fons ad S.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3081 Georgium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3082 Venetijs.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3083 te$te Io$epho Ceredo Di$cur$u primo de Modo elevandi aquas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3084 &egrave; locishumilibus, pag. 11. Bin&aelig; enim fabricat&aelig; erant ci$tern&aelig;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3085 $eu pi$cin&aelig;, humilior ac profundior vna, altera elatior ad prioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3086 latus. Humilior latera habebat angu$ta, &amp; putei in$tar erecta;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3087 &egrave; cuius fundo v$que ad collateralis $uprema labra deduceban-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3088 tur tubi plumbei. Habebat pr&aelig;terea operculum ligneum atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3089 gravi$$imum, quod ci$tern&aelig; latera vacua implebat, &amp; aqu&aelig; in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3090 cumbens $uo paulatim pondere de$cendebat, atque aquam c&otilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3091 primens eam intra tubos compellebat; per quos a$cendens, $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3092 $equentibus alijs aquis pul$a, exonerabat $e$e intra $uperiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3093 collateralem ci$ternam, indeque pondere $uo naturaliter dela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3094 bens per fi$tulas efforma batur in fontem. Multas alias Machi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3095 nas hydraulicas eodem con$tructas artificio enumerat ibidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3096 citatus Ceredus, &amp; vnam hac ratione adornatam Machinulam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3097 Scaliger Exercitat. 42. contra Cardanum; ex qua tamen fal$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3098 deducit modum o$tendendi fontium originem ex mari. Hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3099 porr&ograve; ratione in altum elevatur aqua per antlias, quarum ingen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3100 tem copiam affert Augu$tinus Ramellus in$uo de Machi-
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casties
parents:
diff changeset
3101 nis hydraulicis opere, &amp; nos aliquas adduce-
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casties
parents:
diff changeset
3102 mus Cla$se I. cap. 2. Machina 6.
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casties
parents:
diff changeset
3103 <pb n=61>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3104 <C>Protheoria III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3105 <C>PROTHEORIA
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3106 TERTIA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3107 <C>Devi Rarefactiva; $eu de tertio Hydro-pnev-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3108 maticarum Machinarum Principio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3109 <C>&sect;. I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3110 <C>Rarefactionis vis, &amp; effectus mirabiles.</C>
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casties
parents:
diff changeset
3111 <p>RArefactionem ingentes $uppeditare vires vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3112 alijs corporibus, ita aqu&aelig; &amp; a&euml;ri, ad ea in omnem $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3113 tus differentiam impellendam, mult&ograve;que magis ad
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diff changeset
3114 hydro-pnevmatica omnis generis techna$mata mo-
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diff changeset
3115 lienda; is $olus ignorare pote$t, qui $tupendos ip$ius effectus igno-
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parents:
diff changeset
3116 rat. videmus quotidie, miramurque, ac plangimus $tragem,
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parents:
diff changeset
3117 <MARG><I>Rarefactio-
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parents:
diff changeset
3118 nis vis in
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parents:
diff changeset
3119 bombardis.</I></MARG>
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parents:
diff changeset
3120 quam <G>polio<*>xh|tai\</G> nitrato &amp; $ulphureo pulvere intra bombarda-
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parents:
diff changeset
3121 rum militarium angu$tias rarefacto edunt, in $ternendis non ho-
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parents:
diff changeset
3122 minibus tant&ugrave;m, fed &aelig;dibus, turribus, propugnaculis, atque
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parents:
diff changeset
3123 adeo vrbibus integris. Non Iovis tantummodo fulmina imita-
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parents:
diff changeset
3124 tur rarefactio in bombardis, $ed Plutonis etiam iras &aelig;mulatur in
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diff changeset
3125 $ubterraneis cuniculis; tant&ograve; pernicio$iore $trage, quant&ograve; mi-
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parents:
diff changeset
3126 n&ugrave;s patente. Excavant Martiales Architecti &agrave; loco ob$idionis
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parents:
diff changeset
3127 <MARG><I>Rarefactio-
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parents:
diff changeset
3128 nis vis in
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parents:
diff changeset
3129 cuniculis
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casties
parents:
diff changeset
3130 $ubterra-
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parents:
diff changeset
3131 neis.</I></MARG>
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parents:
diff changeset
3132 ad v$que propugnaculum, cui ruinam minantur, viam anfra-
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parents:
diff changeset
3133 ctuo$am, angu$tamque, magnetic&aelig; pixidis ductu, uti inter alios
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parents:
diff changeset
3134 docet P. Athana$ius Kircherus lib. 2. de Arte Magnet. par. 2. cap. 1.
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parents:
diff changeset
3135 Probl 7. &amp; nos in Pantometro Kircherianolib. 5. Ichnographi-
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diff changeset
3136 co Probl. 8. Sub loco deinde ruin&aelig; de$tinato Cameram con-
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parents:
diff changeset
3137 $truunt laxiorem, eamque implent pulveris tormentarij va$is,
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diff changeset
3138 &amp; o$tium claudunt, relicto exiguo foramine, perque viam totam
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parents:
diff changeset
3139 ignis pabulum $ternunt, &amp; egre$$i ignem applicant; qui $erpens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3140 per viam accendit pulveris ma$$am omnem Camer&acirc; conclu$am,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3141 it&agrave;que rarefacit, dilatatque, ut angu$tiarum impatiens, &amp; laxio-
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parents:
diff changeset
3142 rem qu&aelig;rens locum, impo$itam $ibi molem di$iiciat horribili
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3143 <MARG><I>Rarefactio-
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parents:
diff changeset
3144 nis vis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3145 terr&aelig; mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3146 tibus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3147 fremitu, nec minori terrore, qu&agrave;m damno. Nihil unquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3148 magis $imile terr&aelig; motui, qui &amp; ip$e rarefactionis e$t effectus lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3149 <pb n=62>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3150 culenti$$imus, excogitatum fuit. Eodem enim pror$us modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3151 in terr&aelig; concu$$ione flamma ex aliqua $ubterranea fornace, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3152 interno calore, per venulam aliquam nitri aut $ulphuris $erpit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3153 donec perveniat ad locum, in quo maiorem huiu$ce materi&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3154 copiam inveniat; qu&acirc; $ubit&ograve; accen$a &amp; rarefact&acirc;, dum maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3155 rem qu&aelig;rit locum, $ibi impo$itas concutit, &amp; di$jicit non rar&ograve;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3156 moles. S&aelig;pe etiam iam antea accen$us in terr&aelig; vi$ceribus ignis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3157 dum nova augetur aliunde attracta materia, montes $ibi impo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3158 <MARG><I>Terr&aelig;mo-
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parents:
diff changeset
3159 tus Rom&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3160 anno</I> 1654.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3161 tos concutit, finditque, vt non $emel audivi, vidique in &AElig;tna Si-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3162 cili&aelig;, duorum annorum accola olim, &amp; nunc hoc ip$o anno 1654.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3163 quo h&aelig;c $cribo, h&icirc;c Rom&aelig;, quam (raro exe n<*>o) concu$$it mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3164 tusille ingens, qui tantam Sor&aelig; $tragem <*>lit, &amp; Romam hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3165 inde Neapolim, omnes que interiacent<*> regiones tremefecit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3166 <C>&sect;. II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3167 <C>Alia Rarefaction<*> Exempla.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3168 <MARG><I>Rare$actio-
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casties
parents:
diff changeset
3169 nis exempla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3170 d<*>.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3171 <p>NArrat P. Nicolaus Cab&aelig;us lib. 4. Meteor. Ari$t. text. 12. q. 1.
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casties
parents:
diff changeset
3172 vidi$$e $e marmoreum vas maximum atque duri$$imum ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3173 aqua conglaciata di$ci$$um, e&ograve; qu&ograve;d c&otilde;gelatione rarefact&aelig; fue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3174 rint aliqu&aelig; intern&aelig; partes aqu&aelig;: fact&agrave; enim ill&acirc; $ubit&acirc; congela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3175 tione, ob$titerunt attenuationi &amp; rarefactioni partium latera va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3176 $is, ce$$it&qacute;ue durities vehementi&aelig; rarefactionis, &amp; fractum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3177 vas, quod non di$rupi$$ent centum juga boum, $i in diver$as par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3178 tes traxi$$ent. Idem Cab&aelig;us ibidem a$$erit, $e vidi$$e columnam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3179 marmoream, quam tres homines dilatatis brachijs $imul non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3180 poterant complecti, quamque mille juga boum, $i in diver$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3181 partes, toto juncto impetu traxi$$ent, frangere non potui$$ent,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3182 fractam tamen pror$us mediam atque truncatam, e&ograve; qu&ograve;d ligna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3183 qu&aelig;dam column&aelig; illi proxima fuerint combu$ta, ideoque ex vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3184 cino calore $piritulus aliquis in marmore inclu$us intus in meati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3185 bus fuerit rarefactus, &amp; ex rarefactione maiorem $ibi loc&utilde; qu&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3186 $iverit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3187 <p>Notum jam p&oelig;n&egrave; e$t omnibus, quod refert Petrus Ca$tel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3188 lus in Libello de Incendio Ve$uvij Italic&egrave; con$cripto, &amp; exip$o
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parents:
diff changeset
3189 Kircherus lib. 3. Artis Magnet, part. 2. cap. 3. circa finem, de pul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3190 <pb n=63>
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casties
parents:
diff changeset
3191 vere pyrio ex auro confecto, quod aurum fulminans appellat Ca-
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casties
parents:
diff changeset
3192 <MARG><I>Aurum ful-
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casties
parents:
diff changeset
3193 minans.</I></MARG>
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casties
parents:
diff changeset
3194 $tellus, &amp; aurum volatile Crollius. E$t id nihil aliud qu&agrave;m au-
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parents:
diff changeset
3195 rum calcinatum aqu&acirc; forti $eu regi&acirc;, $ale armoniaco, &amp; oleo tar-
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casties
parents:
diff changeset
3196 tari pr&aelig;cipitati. H&aelig;c calx qu&agrave;m prim&ugrave;m $entit etiam calorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3197 ignis, concipit $ponte $ua flammam, &amp; in auras abit, cum ingenti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3198 fragore &amp; $trepitu: &amp; $i vel vnum aut alterum huius pulveris gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3199 num cultro impo$ueris, &amp; candelam infr&agrave; applicueris, vtinca.
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casties
parents:
diff changeset
3200 le$cat; tantum edit fragorem, ac $i magnam explo$i$$es bombar-
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casties
parents:
diff changeset
3201 dam. Facit autem effectum contrarium ordinario pulveri pyrio,
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casties
parents:
diff changeset
3202 quia non $ur$um, $ed deor$um tendit; vnde $erupulus vnicus hu-
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diff changeset
3203 ius volatilis auri po$itus $upra laminam ferream n&otilde; modic&aelig; cra$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3204 $itiei, &amp; carbone de$uper applicato accen$us, penetrat &amp; per-
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diff changeset
3205 foratip$am laminam.
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parents:
diff changeset
3206 <p>Nolo h&icirc;c ommittere aliud rarefactionis exemplum, quo
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diff changeset
3207 ego ip$e multis in locis, coram viris etiam Principibus, exigu&acirc;
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parents:
diff changeset
3208 machinul&acirc; non exiguum excita vi fragorem, bombardul&aelig; mi-
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parents:
diff changeset
3209 noris fragori pror$us &aelig;qualem ac $imilem. Vitreas Sph&aelig;rulas
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parents:
diff changeset
3210 <MARG><I>Vitrea $ph&aelig;
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parents:
diff changeset
3211 rula mino-
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parents:
diff changeset
3212 ris bombar-
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parents:
diff changeset
3213 dul&aelig; crepi-
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parents:
diff changeset
3214 tum amu-
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parents:
diff changeset
3215 lantes.</I></MARG>
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parents:
diff changeset
3216 nucis avellan&aelig; magnitudine, aut etiam minores, fieri curavi ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3217 lampadem Rom&aelig; &agrave; quodam Germano artifice, vitrum in omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3218 colores omnes que figuras florum, fructuum, avium, animalium
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parents:
diff changeset
3219 omnis generis, jcuncularum quarumlibet affabr&egrave; elaboratarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3220 efformante, idemque in $ubtili$$ima fila ad rotam circumact&atilde;
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parents:
diff changeset
3221 diducente. In eas vitreas Sph&aelig;rulas acetum, aut nitratum $a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3222 lem aqu&acirc; di$$olutum ac liquefactum infundi iu$fi, &amp; ad medieta-
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parents:
diff changeset
3223 tem repleri, ac deinde hermetic&egrave; claudi ad eandem lampadem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3224 Harum $ph&aelig;rularum vnam $i carbonibus non nimi&ugrave;m accen$is,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3225 aut calidis cineribus (vt paulatim calefiat) impo$ueris; rarefit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3226 $pirito$a materia intus clau$a, &amp; majorem qu&aelig;rens locum, po$t
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parents:
diff changeset
3227 $patium circiter temporis quo P$almus 50. <I>Mi$erere mei Deus,</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3228 citari pote$t, tanto cum impetu ac fragore viam $ibi aperit, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3229 non tant&ugrave;m vitrum in mille minuti$$imas particulas diffringat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3230 $ed cineres etiam &amp; carbones toto conclavi di$$ipet, nullius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3231 damno, ni$i $i quis vultum prop&egrave; applicet. C&ugrave;m experientiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3232 Rom&aelig; coram Sereni$$imi Hol$ati&aelig; Ducis Filio primogenito fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3233 <pb n=64>
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parents:
diff changeset
3234 cerem, foco a$$identi more ibidem $olito, famuli ante cubicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3235 lum pr&aelig;$tolantes accurrebant attoniti, bombardulam in Princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3236 pem $uum explo$am credentes. Alius magnus quidam Prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3237 ceps c&ugrave;m nonnullas &agrave; me accepi$$et, ac domi die quodam cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3238 multis alijs nobilibus foco a$$ideret, vnam o$tendit, ac videnti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3239 bus omnibus igni iniecit, a$$erens, vbi calefieret, grati$$imum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3240 $par$uram odorem. C&ugrave;m omnes arrectis naribus, &amp; ore hi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3241 ante odorem ex$pectarent, derepente fit crepitus, &amp; carbonum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3242 disiectio, diffugientibus omnibus in timorem prim&ograve;, deinde in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3243 ri$um di$$olutis. Alio tempore coram Cardinale quodam &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3244 magno Nobilium comitatu, admonito pri&ugrave;s clanculum $olo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3245 Cardinale, vnam explo$i; &amp; ita omnes alij pr&aelig;ter dictum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3246 Cardinalem territi fu&ecirc;re, vt auctorem (ignorabant me e$$e)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3247 ad p&oelig;nam qu&aelig;rerent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3248 <p>Innumeros alios effectus rarefactionis, $icut &amp; conden$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3249 tionis, adducere po$$em; $ed hi $ufficiunt ad ad$truendam effica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3250 ciam in commovendis corporibus. Qu&aelig; efficacia $i tanta e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3251 quantam vidimus; quis neget, eandem in a&euml;re &amp; aquis elucere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3252 po$$e, dilatando &amp; con$tringendo elementa ip$a, &amp; in fontes a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3253 liaque hydraulica, pnevmaticaque artificia animando? $ed h&aelig;c
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3254 evidenti$$im&egrave; o$tendemus in multis ex $equentibus Machinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3255 Partis 2. p<*>ertim Cla$. &Itilde;. cap. 3. Mach. 1.2.5.6.8. &amp; alijsmultis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3256 <C>PROTHEORIA</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3257 <C>QVARTA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3258 <C>De fluxu Aqu&aelig; naturali;</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3259 <C>$eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3260 De quarto Hydro-pnevmaticarum Machina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3261 rum principio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3262 <p>PLurima, jucundi$$ima, vtili$$imaque circa A-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3263 qu&aelig; fluxum naturalem, $eu libera ea $it, $eu aqu&aelig;du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3264 ctibus, canalibus, tubis, $iphonibus, fi$tulis, &amp; qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3265 bus cunque alijs meatibus con$tricta, dicenda occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3266 runt noc ioco, qu&aelig; Hydro-pnevmaticarum Machinarum Arti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3267 <pb n=65>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3268 <C>Protheoria IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3269 ficibus non min&ugrave;s nece$$aria, qu&agrave;m vtilia $unt. Nos ex omni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3270 bus ea tant&ugrave;m, qu&aelig; fini no$tro conducere videbuntur, $elegimus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3271 c&aelig;tera ad Mechanicam no$tram Magiam re$ervabimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3272 <C>CAPVT I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3273 <C>De proprietatibus Aqu&aelig; fluentis liber&egrave;.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3274 <C>PROOEMIVM.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3275 <p><I>LIber&egrave; fluit aqua, dum nullis con$tricta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3276 <MARG>Aqua libe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3277 r&egrave; fluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3278 qu&aelig; dica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3279 tur.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3280 <I>e$t meatibus ceu vinculis. Huiu$ce proprie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3281 tates, fini no$tro conducentes, vt a$$ignem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3282 Suppono duo, qu&aelig; licet in dubium revocentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3283 ab aliquibus, conceduntur tamen &agrave; me<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3284 not&aelig; Philo$ophis &amp; Mathematicis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3285 <p><I>Primum e$t, Ordinem Elementorum, natur&aelig; eorum con</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3286 <MARG><*>o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3287 <*>do
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3288 naturalis<*></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3289 <I>gruentem hunc e$$e, vt Terra $it in medio omnium, Aqua circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3290 Terram, circa Aquam A&euml;r, &amp; circa A&euml;rem putatus lgnis. Ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3291 principio quidem rerum, quando</I> Creavit DEVS c&oelig;lum &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3292 terram, <I>Genes. C. I. pr&aelig;dictum $ervarunt ordinem, v$que ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3293 diem Mundi tertium, quo die Deus benedictus Terram, ante&agrave;
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parents:
diff changeset
3294 $ph&aelig;ric&egrave; rotundam, in cavitates varias deformavit, in easque
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parents:
diff changeset
3295 Aquam omnem $ubterc&oelig;le$tem, maribus, lacubus, fluminibus,
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parents:
diff changeset
3296 fontibus di$cretam, derivavit, vnumque ex Terra &amp; Aqua
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parents:
diff changeset
3297 globum con$tituit, vnic&acirc; contentum $ph&aelig;ric&acirc; $uperficie, terren&acirc;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3298 <MARG>Terraque-
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casties
parents:
diff changeset
3299 us globus
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parents:
diff changeset
3300 in medio
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parents:
diff changeset
3301 muadi col
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parents:
diff changeset
3302 locat' fuit
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parents:
diff changeset
3303 die tertio
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parents:
diff changeset
3304 creationis
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parents:
diff changeset
3305 rerum.</MARG>
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parents:
diff changeset
3306 <I>hinc, inde aque&acirc;, prout Aqu&aelig; diver$imod&egrave; Terram di$ci$$am
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parents:
diff changeset
3307 interfluunt, aut circumfluunt. Qui quidem globus ex Terra
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parents:
diff changeset
3308 &amp; Aqua coagmentatus (quem ob id rect&egrave; Terraque&utilde; appellare
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parents:
diff changeset
3309 po$$umus) in prima $ui coagmentatione, quando die Mundi</I>
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parents:
diff changeset
3310 <pb n=66>
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parents:
diff changeset
3311 <I>tertio</I> dixit DEUS: congre gentur aqu&aelig;, qu&aelig; $ub c&oelig;lo $unt,
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parents:
diff changeset
3312 in locum vnum, &amp; appareat Arida; &amp; factum e$t ita; <I>in
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parents:
diff changeset
3313 medio Vniver$i, hoc est, in centro $upremi, &amp; omnia ambien-
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parents:
diff changeset
3314 tis C&aelig;li collocatus fui$$e videtur; in medio, inquam, non $ol&ugrave;m
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parents:
diff changeset
3315 quoad $en$um (quod nullus, aut vix vllus, $altem alicuius no-
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parents:
diff changeset
3316 minis, negat) $ed revera ac mathematic&egrave;, ita vt centrum gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3317 vitatis Terraqu&aelig; congruerit tunc perfect&egrave; centro Vniver$i, exi-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3318 <MARG>Terraqua
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parents:
diff changeset
3319 nnuc non
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parents:
diff changeset
3320 e$t $emper
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parents:
diff changeset
3321 in mundi
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parents:
diff changeset
3322 centro ma-
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parents:
diff changeset
3323 thematic&egrave;.</MARG>
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parents:
diff changeset
3324 <I>gente id naturali ip$ius gravitate. Nunc ver&ograve; licet ob conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3325 nuam gravium in Terra Marique mutationem, centrique gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3326 vitatis variationem pr&aelig;dicta Terraqua non $it forta$$e $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3327 pr&aelig;cis&egrave; &amp; mathematic&egrave; in Mundi medio in $en$u dicto (non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3328 enim cert&ograve; constat, ad centrum gravitatis mutatum continu&ograve;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3329 $equi continuam, licet exiguam, trepidationem ip$ius, nitentis
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parents:
diff changeset
3330 ad mundi centrum) tam parum tamen ab illo centro distat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3331 qu&agrave;m mult&ugrave;m di$tat &agrave; tota mole Terraqu&aelig; quodcunque pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3332 dus defacto additum aut ablatum de novo. Ex quibus dedu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3333 citur, $i centrum gravitatis Terraqu&aelig; differt &agrave; centro magni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3334 tudinis eiusdem (vt probabile e$t differre, c&ugrave;m Terra pondero-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3335 $ior $it qu&agrave;m Aqua, nec omnes Terr&aelig; partes, &aelig;qualis $int ponde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3336 ris) differre $ol&ugrave;m in$en$ibiliter; ac proinde idem cen$eri po$$e;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3337 $altem phy$ic&egrave; &amp; ad $en$um, vtrumque centrum. Sed de his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3338 $us&egrave; tractatum vide &agrave; Kirchero in Mundo $ubterranneo, libro 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3339 de Centro$ophia, &amp; &agrave; nobis in Mechanica Vniver$ali lib. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3340 aut in Magia Mechanica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3341 <MARG>Centrum
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parents:
diff changeset
3342 commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3343 omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3344 gravium
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parents:
diff changeset
3345 ac levium</MARG>
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parents:
diff changeset
3346 <p><I>Alterum quod $uppono est, centrum Vniver$i, adeoque
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parents:
diff changeset
3347 Centrum Terraquei globi, quem in Mundi medio $tatuimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3348 cen$eri po$$e centrum commune omnium gravium ac levium, qu&ograve;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3349 <pb n=67>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3350 <I>nimirum omnia gravia per $e tendunt appetitu innato, &amp; &agrave; quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3351 levia recedunt, vtraque per rectas ac brevi$$imas lineas, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3352 impediantur, aut cogantur per obliquam ac longiorem viam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3353 ver$us illud de$cendere, vel ab illo recedere. C&ugrave;m igitur aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3354 omnis $it gravis, vt experienti&acirc; patet; tendet appetitu naturali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3355 ad centrum Terraqu&aelig;, id e$t, ad centrum Vniver$i. Idem di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3356 cendum e$t de alijs liquoribus. His pr&aelig;mi$$is accedimus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3357 propo$itum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3358 <C>Proprietas I.</C>
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parents:
diff changeset
3359 <C>Aqua tendit ad loca decliviora.</C>
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parents:
diff changeset
3360 <p>AQuam, &amp; omnem alium humorem, fluentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3361 <*>iber&egrave;, currere ad loca decliviora, &amp; centro Mundi ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3362 Terraqu&aelig; propinquiora, $i patetip$is liber aditus, $ive
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parents:
diff changeset
3363 <*>us ac perpendicularis, $ive obliquus; patet expe-
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parents:
diff changeset
3364 rientia quotidiaua, nec indiget probatione. Ex quo deduci-
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parents:
diff changeset
3365 tur, aqu&aelig; etiam con$i$tentis partes omnes inclinare innato ap-
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parents:
diff changeset
3366 petitu ad eadem loca decliviora: ideo enim de facto, $ublatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3367 <MARG><I>Aqua con-
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parents:
diff changeset
3368 $i$tens qua
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parents:
diff changeset
3369 dicatur.</I></MARG>
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parents:
diff changeset
3370 impedimentis, e&ograve; fluit aqua, quia naturaliter e&ograve; inclinat. Con-
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parents:
diff changeset
3371 $i$tentem porr&ograve; aquam appello, qu&aelig; $itum obtinet naturalem.
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parents:
diff changeset
3372 Situs autem $eu po$itio naturalis aqu&aelig; e$t, quem dum naturali
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parents:
diff changeset
3373 <MARG><I>Aqua $itus
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parents:
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3374 naturalis
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parents:
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3375 quis $it.</I></MARG>
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parents:
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3376 $uo fluxui &amp; con$i$tenti&aelig; permittitur, $ua $ponte a$$umit, tam in
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parents:
diff changeset
3377 $uperficie $uperiore, qu&agrave;m in inferiore, &amp; lateralibus.
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parents:
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3378 <C>Proprietas II.</C>
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parents:
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3379 <C>Aqu&aelig; $uperficies $uperior, ce$$ante fluxu, $ph&aelig;rica
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parents:
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3380 e$t; reliqu&aelig; conformantur va$is &amp; rece-
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casties
parents:
diff changeset
3381 ptaculis,</C>
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casties
parents:
diff changeset
3382 <p>AQua liber&egrave; fluens tam diu fluit, donec partium continuata-
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parents:
diff changeset
3383 <MARG><I>Aqua con$i-
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casties
parents:
diff changeset
3384 $tentis $uper
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casties
parents:
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3385 ficies $uperi-
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parents:
diff changeset
3386 or $pharica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3387 e$t.</I></MARG>
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casties
parents:
diff changeset
3388 rum extima $eu $uperior $uperficies $ph&aelig;rica $it, habens idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3389 centr&utilde; cum centro Terraqu&aelig; &amp; Vniver$i, hoc e$t, donec omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3390 extim&aelig; $uperficiei partes &aelig;qualiter di$tenta Centro Mundi. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3391 <pb n=68>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3392 mon$trat hoc $ubtili$$im&egrave; Archimedes lib 1. de in$identibus hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3393 mido Propo$it. 2. &amp; Ari$tot. lib. 2. de C&oelig;lo text. 31. &amp; $equitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3394 ex pr&aelig;cedente Proprietate. Si enim ce$$ante fluxu, &amp; con$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3395 $tente iam aqu&acirc;, pars vna $uperficiei extim&aelig; altior e$$et, &amp; altera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3396 humilior, hoc e$t, $i non omnes &aelig;qu&egrave; di$tarent &agrave; centro Mundi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3397 (quod e$t $ph&aelig;ricam habere $uperficiem, habentem idem Cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3398 trum commune Mundi;) non omnes aqu&aelig; partes, $ublatis im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3399 pedimentis, fluerent ad loca decliviora, nec aqu&aelig; con$i$tentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3400 partes omnes e&ograve; naturali appetitu inclinarent; aut cert&egrave; violen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3401 ter in tali $tatu, &amp; nullo pr&aelig;$ente impedimento, detinerentur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3402 <MARG><I>Aqu&aelig; va$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3403 content&aelig; $u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3404 perficies con
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parents:
diff changeset
3405 formantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3406 va$orum in
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parents:
diff changeset
3407 ternis figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3408 ris.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3409 quod incongruum e$t, &amp; naturis rerum repugnans.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3410 <p>Inferior porr&ograve; aqu&aelig; $uperficies, &amp; laterales, conforman-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3411 tur $uperficiebus internis va$orum &amp; receptaculorum, quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3412 aqua continetur: Vnde $i vna pars fundi va$orum ac recepta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3413 culorum e$t altior alter&acirc; (prout in mari, lacubus, fluminibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3414 &amp; va$is ordinari&egrave; fit) etiam talis erit aqu&aelig; illis content&aelig; infe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3415 rior $uperficies. Idem intellige de lateralibus $uperficiebus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3416 <C>Pori$ma I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3417 <MARG><I>Aquarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3418 omnium Su
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3419 perficies $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3420 perior e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3421 $ph&aelig;rica.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3422 <p>COlligitur hinc, Oceani, Marium, lacuum, &amp; aquarum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3423 rumcunque continuatarum, &amp; in quibuscunque receptacu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3424 lis contentarum, ac con$i$tentium, $uperficies $uperiores atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3425 externas e$$e $ph&aelig;ricas, habentes idem cum Terraqu&aelig; $uperficie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3426 <MARG><I>In va$is ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3427 men exiguis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3428 cen$eri po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3429 te$t plana.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3430 c&otilde;vexa centrum. In va$is tamen &amp; receptaculis exiguis adeo exi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3431 gua e$t &amp; in$en$ibilis$ph&aelig;ricitas i$tius $uperficiei, vt merit&ograve; $up-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3432 poni po$$it e$$e planam, $eu horizonti parallelam: vnde &amp; nos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3433 in $equentibus id nobis concedi po$tulabimus, &amp; ita $uppone-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3434 mus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3435 <C>Pori$ma II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3436 <p>COlligitur iterum, idem vas ad turris aut montis radicem po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3437 <MARG><I>Aqu&aelig; plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3438 c&otilde;tinet vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3439 plen&ugrave; infe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3440 riori, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3441 $uperiori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3442 loco.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3443 $itum, &amp; aqu&acirc; omnino plenum, pl&ugrave;s aqu&aelig; continere, mathe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3444 matic&egrave; loquendo, qu&agrave;m po$itum in turris aut montis vertice, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3445 aqu&acirc; itidem omnino plenum. Ratio e$t, quia major e$t $ph&aelig;ri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3446 citas aqu&aelig; in primo, qu&agrave;m $ecundo ca$u.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3447 <pb n=69>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3448 <C>Pori$ma III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3449 <p>COlligitur terti&ograve;, $i aqua ad libellam con$tituta e$$et alicubi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3450 <MARG><I>Aqu<*> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3451 $i$tere non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3452 pote$i ad li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3453 bellam con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3454 $tituta.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3455 non po$$e con$i$tere, $ed nece$$ari&ograve; moveri, quia tunc non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3456 omnes partes extim&aelig; &amp; $uperioris $uperficiei e$$ent &aelig;qu&egrave; vicin&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3457 centro Terraqu&aelig;. Athoc meli&ugrave;s explicabitur in Pantometro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3458 no$tro Kircheriano lib. 9. Hydragogico, vbi delibellatione a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3459 quarum agemus, iterumq; in Mechanica no$tra Vniver$ali, libro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3460 quem in$cribemus Mechanicam Hydragogicam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3461 <C>Proprietas III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3462 <C>Aqua min&ugrave;s pre$$a expellitur &agrave; magis pre$$a.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3463 <p>AQu&aelig;, &amp; humidi cuiuscunque, ea e$t natura, inquit Archi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3464 medes lib. 1. de In$identibus humido, Hypothe$i I, vt par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3465 tibus ip$ius &aelig;qualiter iacentibus &amp; continuatis inter $e$e; min&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3466 pre$$a &agrave; magis pre$$a expellatur; &amp; quidem tant&ograve; forti&ugrave;s, quant&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3467 aut min&ugrave;s illa, aut magis h&aelig;c pre$$a fuerit. Hoc quomodo $it in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3468 telligendum, patebit ex $equentibus Proprietatibus huius capitis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3469 &amp; etiam ex dicendis capite $equenti, Propo$itione 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3470 <C>Proprietas IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3471 <C>Aqu&aelig;, &amp; humidi cuiu$cunque, pars vnaqu&aelig; que premi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3472 tur humido $upra ip$am exi$tente ad perpendiculum, $i hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3473 midum $it de$cendens in aliquo, aut ab alio ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3474 quo pre$$um.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3475 <p>AS$erit hoc Archimedes loco proxim&egrave; citato. Itaq; quando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3476 <MARG><I>Aqu&aelig; par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3477 tes inferio-
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3478 res prem&utilde;-
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diff changeset
3479 tur &agrave; $upe-
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diff changeset
3480 rioribus ad
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diff changeset
3481 perpendicu-
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diff changeset
3482 lum incum
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diff changeset
3483 bentibus.</I></MARG>
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diff changeset
3484 humidum non e$t de$cendens in aliquo, aut non e$t ab ali-
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diff changeset
3485 quo alio pre$$um, $ed con$i$tit in $uo $itu naturali, vna pars non
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diff changeset
3486 premit alteram, vt mox dicemus. Si autem humidum
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diff changeset
3487 e$t de$cendens in aliquo, vt $i effluit per foramen va$is, aut in-
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diff changeset
3488 fluit in vas coniunctum: tunc partes $upra foramen premuntur
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diff changeset
3489 &agrave; partibus ad perpendiculum ip$is incumbentibus, non ver&ograve; ab
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diff changeset
3490 alijs collateralibus. Similiter $i humidum premitur ab aliquo,
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diff changeset
3491 partes pre$$&aelig; premunt $ol&ugrave;m qu&aelig; ip$is ad perpendiculum $ub-
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diff changeset
3492 $tant.
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diff changeset
3493 <pb n=70>
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diff changeset
3494 <C>Proprietas V.</C>
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diff changeset
3495 <C>Aqu&acirc; in $itu naturali con$i$tente, partes $uperiores non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3496 premunt inferiores.</C>
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parents:
diff changeset
3497 <p>PAtet hoc ex multis $ignis. Prim&ograve; enim alioquin partes aqu&aelig;
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diff changeset
3498 inferiores e$$ent den$iores $uperioribus, quia c&otilde;pre$$&aelig; e$$ent.
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parents:
diff changeset
3499 Secund&ograve;, vrinatores infra aquam exi$tentes non $entiunt pon-
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diff changeset
3500 dus aquarum incumbentium $ibi. Terti&ograve;, herb&aelig; levi$$im&aelig; intra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3501 aquam cre$centes, &amp; in altum a$$urgentes, non $ternuntur ab
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diff changeset
3502 aqua $uperincumbente. Quart&ograve;, corpus grave fune alligatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3503 &amp; infra aquam demer$um, $u$tinetur &agrave; manu, &amp; extrahitur, tan-
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diff changeset
3504 ta facilitate, quanta $u$tineretur &amp; extraheretur, $i nulla aqua illi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3505 incumberet; im&ograve; maiorietiam facilitate, quoniam gravia mi-
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diff changeset
3506 n&ugrave;s ponderantintra, qu&agrave;m extra aquam. Quint&ograve;, $itula aqu&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3507 plena levior e$t intra aquam, qu&agrave;m extra: Curhoc, ni$i quia
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diff changeset
3508 aqua intra aquam non ponderat?
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3509 <C>Pori$ma.</C>
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diff changeset
3510 <MARG><I>Aqu&aelig; con
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diff changeset
3511 $i$tentis par-
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diff changeset
3512 tes $uperio-
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diff changeset
3513 res non pre-
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diff changeset
3514 munt actu
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diff changeset
3515 inferiores.</I></MARG>
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diff changeset
3516 <p>COlligitur hinc, quando Archimedes, alijque dicunt, omnes
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diff changeset
3517 aqu&aelig; partes, dum ea in $itu con$i$tit naturali, a qualiter pre-
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diff changeset
3518 mi, non e$$e $ermonem de actuali pre$$ione, $ed $ol&ugrave;m de aptitu-
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diff changeset
3519 dinali. Premi vnum ab alio aptitudinaliter, e$t, habere $upra
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diff changeset
3520 $e grave non $u$tentatum; at premi actualiter e$t ita habere $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3521 <MARG><I>Premi actu,
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parents:
diff changeset
3522 &amp; premi
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parents:
diff changeset
3523 aptitudina-
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parents:
diff changeset
3524 liter, quid
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parents:
diff changeset
3525 $it.</I></MARG>
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parents:
diff changeset
3526 pra $e grave non $u$tentatum, vt ablato impedimento cedere co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3527 gatur corpori incumbenti; &amp; ni$i cedat, comprimatur. Vel di-
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parents:
diff changeset
3528 cendum e$t, premi quidem partes humidi inferiores &agrave; $uperio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3529 ribus $ibi $uperin cumbentibus, at non comprimi. Sol&ugrave;m ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3530 partes $uperiores aqu&aelig; actu premunt inferiores, quando vel ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3531 alio premuntur $uperiores, vel quando $unt altiores alijs partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3532 contiguis in eodem va$e, aut in duobus va$is inter $e communi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3533 cantibus, vt videbimus, c&ugrave;m de Siphonibus agetur; vel denique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3534 quando infra $e habent inferiores immediat&egrave; corpus levius $e in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3535 $pecie, v.g. a&euml;rem, aut tenui$$imum fundum; in omnibus enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3536 hi$ce ca$ibus partes inferiores cedunt quidem $uperioribus, at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3537 minim&egrave; ab illis comprimuntur. Hinc e$t, qu&ograve;d aqua effluat&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3538 foramine in fundo aut latere va$is. Hinc etiam e$t, qu&ograve;d fun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3539 <pb n=71>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3540 dum tenue va$is incurvetur, ac tandem frangatur. Hinc deni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3541 que e$t, qu&ograve;d dum partes aqu&aelig; $uperiores premuntur, &amp; partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3542 inferiores non habent effugium aut infr&agrave;, aut &egrave; latere va$is, rum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3543 patur poti&ugrave;s vas, qu&agrave;m partes inferiores comprimantur. Vide
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3544 qu&aelig; dicimus infr&agrave; parte 2. Cla$se 1. cap. 5. Machina 6.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3545 <C>Proprietas VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3546 <C>Aqu&aelig; in $itu naturali po$it&aelig; vna pars non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3547 expellit alteram.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3548 <p>PAtet experientia. Et ratio e$t, quia vna non premit alteram,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3549 vt dictum in pr&aelig;cedenti Proprietate. Qu&ograve;d $i in va$is con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3550 jugatis altior aqua pellit min&ugrave;s altam, cau$a e$t, qu&ograve;d non $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3551 po$ita in $itu naturali, quia $cilicet non habet omnes partes &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3552 qu&egrave; di$tantes &agrave; centro Mundi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3553 <C>Proprietas VII.</C>
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parents:
diff changeset
3554 <C>Non omnes aqu&aelig; &aelig;quales magnitudine, $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3555 &aelig;quales pondere.</C>
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diff changeset
3556 <p>SUnt enim $als&aelig; graviores dulcibus, &amp; frigid&aelig; calidis eiu$dem
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parents:
diff changeset
3557 <MARG><I>Aqua $alsa
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parents:
diff changeset
3558 frigida, im-
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parents:
diff changeset
3559 pura, gra-
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parents:
diff changeset
3560 vior e$t qu&atilde;
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diff changeset
3561 dulcis &amp;c.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3562 $peciei, $eu individui; &amp; tam $als&aelig;, qu&agrave;m dulces, ali&aelig; alijs gra-
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parents:
diff changeset
3563 viores $unt, vt patet experientia, &amp; fatentur etiam naut&aelig;, vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3564 dentes naves &egrave; fluminibus impuris ad pura, aut &egrave; mari ad flumina
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parents:
diff changeset
3565 transeuntes $ub$idere profundi&ugrave;s, &amp; $ubinde cum $ubmer$ionis
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diff changeset
3566 periculo.
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casties
parents:
diff changeset
3567 <C>Proprietas VIII.</C>
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3568 <C>Aqua naturaliter non a$cendit ad locum altio-
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parents:
diff changeset
3569 rem $u&acirc; origine.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3570 <p><I>IM&ograve; nec fluit naturaliter ab vno ad alterum locum, ni$i terminus &agrave; quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3571 altior $it, qu&agrave;m termin&ugrave;s ad quem.</I> Vtrumque patet experienti&auml;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3572 <MARG><I>Aqua non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3573 pote$t decur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3574 rereper $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3575 tium &aelig;qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3576 libratum.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3577 &amp; $equitur ex dictis Proprietate I. &amp; II. Hinc Hydragogi a$$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3578 runt, non po$$e deduciaquam de loco in locum, $ive per alveum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3579 $ive per aqu&aelig;ductus, canales, ac tubos deducenda $it, $i $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3580 $it &aelig;quilibratum, $eu ad libellam con$titutum; nec $ufficere Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3581 thematic&atilde;, aut quam cunque phy$icam declivitatem, $ed requiri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3582 in $ingulis milliaribus cadentiam $eu declivitatem quatuor ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3583 <pb n=72>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3584 minim&ugrave;m vnciarum vnius pedis, (e$t vncia pars duodecima pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3585 dis) ita vt terminus ad quem in fine milliaris $it vicinior centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3586 Terr&aelig; quatuorvncijs, qu&agrave;m terminus &agrave; quo; &amp;p o$t alterum mil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3587 liare alijs quatuor vncijs $it vicinior, &amp; $ic deinceps $emper, e$t-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3588 que h&aelig;c regula &agrave; pleris&qacute;ue recepta tanquam Axioma hydra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3589 gogicum. Sed de hac re fus&egrave; agemus in Pantometro no$tro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3590 Kircheriano lib. 9. vbi agemus ex profe$$o de Hydragogia &amp; li.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3591 bellatione aquarum; &amp; in Mechanica Vniver$ali.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3592 <C>CAPVT II.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3593 DE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3594 Proprietatibus Aqu&aelig; fluentis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3595 $iphones.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3596 <p>QUamvis in Machinis no$tris Hydro-pnevmati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3597 cis, Parte 2. indifferenter &amp; pro eodem fumamus no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3598 men $iphonis, &amp; tubi, pro fi$tula $cilicet, per quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3599 aqua fluit, $ive recta illa $it, $ive curva; h&icirc;c tamen,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3600 <MARG><I>Siphon quid</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3601 maioris di$tinctionis gratia, $iphonem &agrave; tubo di$tinguimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3602 E<*>gitur Siphon nihil aliud qu&agrave;m tubus inflexus. Huius vari&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3603 $unt $pecies, vt $equitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3604 <C>Propo$itio I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3605 <C>Siphonis varias divi$iones a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3606 <p>SIphon igitur, $eu tubus in flexus, dividitur vari&egrave;, &amp; habet diver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3607 <MARG><I>Siphonis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3608 $pecies va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3609 ria.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3610 $as figuras, vt apparet in appo$itis $chemati$mis. Alius enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3611 dicitur $iphon erectus, alius in ver$us, aliusmixtus, alius &aelig;quali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3612 um, alius in &aelig;qualium crurium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3613 <MARG><I>Siphon ere-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3614 ctus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3615 <p>Siphon erectus e$t, cuius omnia crura $ur$um $unt. Huius-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3616 modi $unt $eptem priores, &amp; vltimus ex h&icirc;c appo$itis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3617 <MARG><I>Siphon in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3618 ver$us.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3619 <p>Siphon inver$us e$t, cuius omnia crura deor$um $unt. Hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3620 iusmodi $untijdem, $i inver $i intelligantur, hoc e$t, $i B $ur$um,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3621 C &amp; A deor$um $pectent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3622 <MARG><I>Siphon mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3623 xtus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3624 <p>Siphon mixtus e$t, cuius crura partim $ur$um, partim de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3625 or$um $unt. Huiu$modi $unt tres penultimi ex appo$itis, $eu 8. 9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3626 &amp; 10.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3627 <pb n=73>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3628 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3629 <p>Siphones tam erecti, qu&agrave;m inver$i, vel habent vtrumque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3630 erus &aelig;quale, vel in&aelig;quale. Si &aelig;qualia $unt crura, vellongitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3631 dine &amp; capacitate $unt&aelig;qualia, vt apparet in prima, tertia, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3632 <MARG><I>Siphones a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3633 qualium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3634 &amp; inaqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3635 lium cruri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3636 um.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3637 $eptima figura: vel $ola longitudine &aelig;qualia, capacitate ver&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3638 in&aelig;qualia, vt apparet in $ecunda, quarta, quinta, $exta, &amp; vlti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3639 ma figura.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3640 <pb n=74>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3641 <p>Siphones mixti, vel habent omnia crura &aelig;qualia longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3642 dine, vt in octava figura apparet; vel aliqua tant&ugrave;m, utin nona
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3643 figura; vel nulla, ut in decima figura patet. H&aelig;c eadem crura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3644 po$$unt e$$e diver$&aelig; capacitatis inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3645 <MARG><I>Siphon con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3646 iugatus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3647 <p>Nota. Siphonem quartum aliqui vocant coniugatum, re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3648 liquos ver&ograve; inflexos appellant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3649 <C>Propo$itio II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3650 <C>Siphonis erecti proprietates a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3651 <MARG><I>Siphonis e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3652 recti proprie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3653 tates.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3654 <p><I>PRima.</I> Aqua vni $iphonis erecti cruri infu$a de$cendit pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3655 m&ugrave;m, deinde a$cendit per alterum crus, donec $uprem&aelig; $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3656 perficies in vtroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3657 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3658 crure $int in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3659 linea horizontali.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3660 Sint $iphones erecti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3661 ABCDEF, $ive &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3662 qualium, $ive in&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3663 qualium crurium,
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parents:
diff changeset
3664 tam quoad longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3665 dinem, qu&agrave;m quoad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3666 capacitatem; vn<*>q;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3667 crutium, $ive longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3668 ori, $ive breviori,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3669 $ive &aelig;quali, &amp; $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3670 largiori, $ive $tricti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3671 ori, v.g. cruri AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3672 infundatur aqua:
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casties
parents:
diff changeset
3673 de$cendet ea prim&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3674 v$que ad B, indeq;
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parents:
diff changeset
3675 per C &amp; D a$cen-
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parents:
diff changeset
3676 det, donec $uprem&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3677 aqu&ecedil; $uperficies $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3678 in vtroque crure in
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parents:
diff changeset
3679 eadem linea Hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3680 <pb n=75>
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casties
parents:
diff changeset
3681 zontali, v.g. in linea HIK; hoc e$t, donec omnes dictarum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3682 perficierum partes di$tent &aelig;qualiter &agrave; centro terr&aelig;, juxta dicta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3683 cap. 1. Proprietat. 2. Ratio de$umitur ex dictis ibidem. Ex his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3684 formo $equens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3685 <C>Axioma Hydraulicum I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3686 <p><I>QVant&ugrave;m aqua de$cendit per vnum $iphonis erecti crus, tantundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3687 <MARG>Axioma hy
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3688 draulicum.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3689 a$cendit per alterum.</I> Idem contingit in omnibus canalibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3690 alveis, &amp; meatibus quibuscunque incurvatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3691 <p><I>Secunda.</I> Si vni crurium, $ive longiori, $ive breviori, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3692 &aelig;quali, &amp; $ive capaciori, $ive min&ugrave;s capaci, addas aliquid aqu&aelig;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3693 v.g. cruri AB; attollitur etiam alterius cruris aqua, donec rur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3694 $us $uperficies di$tent &aelig;qualiter a centrro terr&aelig;, $eu $int in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3695 linea horizontali, v.g. in linea GFE. Ratio e$t eadem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3696 <p><I>Tertia.</I> Si cruri longiori, $ive id capacius $it altero iam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3697 pleno, $ive non, addas pl&ugrave;s aqu&aelig;, v.g. cruri AB; de$cendet ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3698 p<*> B, elevabit&qacute;ue aquam cruris CDEF, &amp; expellet per os
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3699 EF, donec ce$$ante infu$ione $it iterum vtraque $uperficies in li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3700 nea GFE. Patet experienti&acirc;, &amp; ratio e$t eadem, ne $cilicet $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3701 perficies vnius cruris di$tet pl&ugrave;s aut min&ugrave;s, &agrave; centro terr&aelig;, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3702 alterius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3703 <p><I>Quarta.</I> Si cruri breviori, licet capaciori, nempe cruri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3704 EFCD, jam pleno addas pl&ugrave;s aqu&aelig; &verbar;; ea non attollet aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3705 cruris longioris vltra punctum G, $ed effluet ex ore EF, licet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3706 aqua cruris EFCD $it long&egrave; maior &amp; pondero$ior, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3707 aqua cruris AB. Patet itidem experienti&acirc;, &amp; ratio e$t eadem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3708 <C>Corollarium I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3709 <p>COlligitur hinc prim&ograve;, aquam maioris perpendiculi pellere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3710 <MARG><I>Aqua ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3711 ioru perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3712 diculi pellit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3713 aquam mi-
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casties
parents:
diff changeset
3714 noris perpen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3715 diculi in Si-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3716 phonibus e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3717 rectis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3718 aquam minoris perpendiculi, non ob$tante maiore copia, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3719 maiore pondere huius: ideo enim aqua cruris AB prim&aelig; &amp; terti&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3720 figur&aelig; expellit aquam cruris CDEF, licet long&egrave; maiorem &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3721 pondero$iorem, quia perpendiculum illius e$t maius $eu longius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3722 qu&agrave;m perpendiculum huius. Aqu&aelig; perpendiculum hic, &amp; in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3723 <MARG><I>Perpendicu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3724 lum aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3725 quid.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3726 $equentibus, appello altitudinem aqu&aelig; $upra horizontem, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3727 $upra centrum Terr&aelig;, ita vt illa dicatur habere maius perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3728 <pb n=76>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3729 culum, qu&agrave;m altera, cuius altitudo ab infima ad $upremam $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3730 perficiem maior e$t, in eodem horizonte.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3731 <C>Corollarium II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3732 <MARG><I>Aqua ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3733 gis aut, mi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3734 n&ugrave;s pre$$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3735 in $iphoni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3736 bus, quan&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3737 dicatur.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3738 <p>COlligitur $ecund&ograve;, Qu&aelig;nam aqua in $iphone erecto dicatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3739 magis aut min&ugrave;s pre$$a: Nam c&ugrave;m con$tet, Aquam min&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3740 pre$$am expelli &agrave; magis pre$$a, per dicta Capite primo, Propriet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3741 3. con$tet pr&aelig;terea, Aquam minoris perpendiculi in $iphone e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3742 recto premi atque expelli ab aqua maioris perpendiculi; clarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3743 e$t, Aquam minoris perpendiculi dici min&ugrave;s, aqu&atilde; ver&ograve; maioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3744 perpendiculi dici magis pre$sam. Ex his formo $equens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3745 <C>Axioma Hydraulicum II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3746 <p><I>IN hydraulicis non aquarum copi&acirc;, $ed perpendiculis pugnatur, &amp; vin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3747 <MARG>Axiomo hy
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3748 draulicum.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3749 citur.</I> Illa enim vincit pellendo, vel trahendo alteram, cuius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3750 perpendiculum e$t maius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3751 <C>Corollarium III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3752 <MARG><I>Siphonis e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3753 recti ope a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3754 quam ex v-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3755 no monte in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3756 alterum de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3757 rivare.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3758 <p>COlligitur terti&ograve;, Quomodo $iphonis erectiope (hoc e$t,<*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3759 nale, tubo autin mod&utilde; $iphonis erecti con$tructo) ex monte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3760 per vallem ad alterum montem, priori paul&ograve; humiliotem, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3761 ad locum in latere montis, derivari po$$it aqua; $i nimirum fiat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3762 $iphon erectus, cuius os vnum immergatur aqu&aelig; montis altioris,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3763 &amp; dein $iphon deducatur per vallem, &amp; latera montium, usque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3764 adlocum de$tinatum, humiliorem tamen origine aqu&aelig;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3765 <C>Corollarium IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3766 <MARG><I>Doli&utilde; quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3767 <*>que $it ple
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parents:
diff changeset
3768 num, Si-
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parents:
diff changeset
3769 phone ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3770 plorare.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3771 <p>COlligltur quar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3772 <FIG>
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parents:
diff changeset
3773 t&ograve;, Quomodo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3774 $cire po$$is pr&aelig;cis&egrave;
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diff changeset
3775 quou$que dolium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3776 aliquod exinanit&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3777 $it, manente obtu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3778 ramento $uperiore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3779 clauso, nulloq; alio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3780 foramine facto
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parents:
diff changeset
3781 pr&aelig;terid, cui epi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3782 $tomium immitti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3783 <pb n=77>
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parents:
diff changeset
3784 $olet. Sit enim dolium DC, exinanitum v$que ad lineam FG;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3785 quod tu ignores: $cies id, $i tubum oblongum AB incurves in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3786 feri&ugrave;s iuxta B, &amp; doleo iuxta C in$eras epi$tomij loco; liquor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3787 enim dolij effluens a$cendet per tubum, donec perveniat v$q; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3788 E, &amp; &aelig;quetur $uprem&aelig; $uperficiei liquoris in dolio contenti.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3789 <C>Corollarium V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3790 <MARG><I>Dolium im
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3791 plere per e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3792 pi$tomium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3793 ope $iphonis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3794 <p>COlligitur quint&ograve;, Quomodo repleri po$$it pr&aelig;dictum doli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3795 um per foramen C epi$tomij. Si enim tubum AB incur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3796 vatum in$eras dolio iuxta C, &amp; $uperi&ugrave;s iuxta A infundas li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3797 quorem; a$cendet is in dolio, donec &aelig;quetur $ummitati tubi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3798 aut donec dolium $it omnino repletum, $i tubus altior e$t dolio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3799 Bene tamen Schvventerus monet in fuis Recreationibus Mathe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3800 maticis parte 13. qu&aelig;$t. 3. debere in $ummitate dolij foramen a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3801 periri, per quod a&euml;r elabatur, impediturus alioquin liquoris in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3802 fu$ionem, $i non po$$it erumpere per foramen C &amp; tubum BA.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3803 <C>Annotatio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3804 <p><I>In Siphone erecto plurium qu&agrave;m duorum crurium eadem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3805 tingunt, qu&aelig; in $iphone duorum crurium, vt con$ideranti patet.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3806 <C>Propo$itio III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3807 <C>Siphonis inver$i proprietates a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3808 <MARG><I>Siphonis in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3809 ver$i pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3810 prietates.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3811 <p>PLurimas proprietates, easque plerumque miras habet Siphon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3812 ever$us, tam &aelig;qualium quoad longitudinem &amp; capacitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3813 crurium, qu&agrave;m in&aelig;qualium. Nos pr&aelig;cipuas referemus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3814 <C>Prima Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3815 <p>SI crura $iphonis inver$i in&aelig;qualia $unt quoad longitudinem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3816 &amp; totus $iphon repleatur aqu&acirc;, &amp; invertatur; effluit ea tota per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3817 cruslongius, licet $it minus capacitate. E$to Siphon inver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3818 ABC in&aelig;qualium crurium, aqu&acirc; plenus, &amp; crus AB longius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3819 $it qu&agrave;m crus CB, hoc e$t, extrem&aelig; aquarum $uperficies A &amp; C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3820 in&aelig;qualiter di$tent &agrave; Centro Mundi, $cilicet AB min&ugrave;s, CB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3821 pl&ugrave;s; dico, totam aquam effluere per crus AB, licet capacitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3822 $it minus qu&agrave;m CB. Ratio e$t, quia c&ugrave;m aqu&aelig; AB perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3823 culum, $it longius, qu&agrave;m aqu&aelig; CB perpendiculum, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3824 gis premitur aqua apud A, qu&agrave;m apud C, per corollarlum I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3825 <pb n=78>
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casties
parents:
diff changeset
3826 <FIG>
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casties
parents:
diff changeset
3827 Propo$itione. II.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3828 pr&aelig;cedentis; ac pro-
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casties
parents:
diff changeset
3829 indeper Propr. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3830 cap. 1. aqua AB ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3831 pellet aquam CB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3832 non quid&etilde; per pre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3833 $ionem, $ed per at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3834 tractionem; hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3835 effluetaqua AB, $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3836 cumque trahetaqu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3837 CB, &amp; quidem to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3838 tam, tum propter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3839 rationem dictam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3840 tum n&egrave; detur vacu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3841 um in $iphone.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3842 <C>Annotatio I.</C>
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casties
parents:
diff changeset
3843 <p><I>MOnuit h&icirc;c P. Athana$ius Kircherus, ea qu&aelig; diximus hoc loco, $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3844 l&ugrave;m e$$e intelligenda in eo ca$u, in quo tubi</I> ABC <I>laxior portio</I> BC
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3845 <I>inferi&ugrave;s e$t clau$a, $olo foramine</I> I. <I>relicto. Si enim totum orificium a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3846 pertum fuerit; aqua nulla ratione $i$tipoterit quin effluat $ecumque tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3847 hat aquam cruris</I> BA. <I>Rationem ad$ignat, quia quando $olum fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3848 men</I> I <I>e$t apertum, $ola columna aquea</I> BI <I>in fig.</I> I. <I>habet rationem per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3849 pendiculi, e&ograve; qu&ograve;d $olum illa premat $upra</I> I. <I>At quando totum orifi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3850 cium e$t apertum, tota aqua</I> BHICG <I>habet rationem perpendiculi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3851 quia tota premit $upra orificium apertum, ac proinde &aelig;quivalet pluribus
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parents:
diff changeset
3852 perpendiculis &aelig;qualibus perpendiculo</I> BI; <I>qu&aelig; $imul $umpta $uperant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3853 perpendiculum longius</I> BA. <I>Addidit, h&aelig;c $e longa experientia didici$$e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3854 <p><I>Opportuna monitio, nec menti me&aelig;contraria. Puto tamen, a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3855 quam ex orificio</I> CI <I>penitus aperto effluere non tam obrationem ad$ig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3856 natam, qu&agrave;m qu&ograve;d a&euml;ri facillimus pateat ingre$$us ob laxitatem orificij;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3857 quo ingrediente di$continuatur aqua, &amp; per vtrumque orificium apert&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3858 effluit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3859 <pb n=79>
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parents:
diff changeset
3860 <C>Pori$ma.</C>
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parents:
diff changeset
3861 <p>COnfirmatur hinc Axioma hydraulicum pr&aelig;cedens, qu&ograve;d in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3862 $iphonibus (&amp; etiam tubis, &amp; quibuscunque va$is) non pu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3863 gnatur ponderibus, $ed altitudinibus, $eu perpendiculis. In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3864 tellige, in ca$u &amp; $en$u explicato.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3865 <C>Annotatio II.</C>
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parents:
diff changeset
3866 <p><I>DIcere quis po$$et, quando $ol&ugrave;m patet foramen</I> I, <I>tunc attracto cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3867 lindrulo aqueo</I> BI, <I>facili&ugrave;s $uccedit a&euml;r per foramen attractus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3868 qu&agrave;m aqua lateralis</I> HI, <I>vel</I> GI; <I>immi$$oque a&euml;re, aqua illa lateralis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3869 facillim&egrave; effluet per foramen</I> I. <I>Quare in nullo ca$u videtur po$$e ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3870 rificari, qu&ograve;d aqua</I> AB <I>attrahat totam aquam</I> BC <I>Nego tamen id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3871 recte dici, quia a&euml;r ingrediens per foramen</I> I <I>adh&aelig;rebit $ol&ugrave;m vltim&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3872 $uperficiei aqu&aelig; fugientis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3873 <C>Secunda Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3874 <p>SI crura $iphonis inver$i &aelig;qualia $int quoad longitudinem, li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3875 cetin&aelig;qualia capacitate (cum limitatione tamen po$ita) &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3876 totus repleatur aqu&acirc;, invertatur&qacute;ue; nihil effluit. Decurtetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3877 in pr&aelig;cedente $chemate crus AB in D, &amp; repleatur totus$iphon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3878 aqu&acirc;, ita vt extrem&aelig; aqu&aelig; $uperficies C &amp; D &aelig;qualiter di$tent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3879 &agrave; centro mundi; dico, nihil effluere, licet cruris CB maior aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3880 &amp; pondero$ior $it, qu&agrave;m aqua cruris AB. Idem fiet, $i absque cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3881 ris AB decurtatione, extrema aqu&aelig; $uperficies in illo &aelig;qu&egrave; di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3882 $tet&agrave; centro Mundi, atque in crure CB, vt $i vtro<*> e$$et in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3883 linea horizontali CD, aut in linea GHE. Ratio e$t, quia c&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3884 in vtroque crure &aelig;quale $it perpendicul&utilde; $eu altitudo aqu&aelig;, pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3885 metur vtrobique &aelig;qualiter; vel ergo vtriu$que cruris aqua $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3886 de$cendere deberet, quod fieri non pote$t absque vacuo; vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3887 neutrius. Exhac, &amp; pr&aelig;cedente Proprietate, formari pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3888 aliud.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3889 <C>Axioma hydraulicum III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3890 <p><I>IN hydraulicis &aelig;qualia perpendicula &aelig;qualiter premunt, in&aelig;qualia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3891 <MARG>Axioma by
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3892 draulicum.</MARG>
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parents:
diff changeset
3893 in&aelig;qualiter, $cilicet longius pl&ugrave;s, brevius min&ugrave;s.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3894 <pb n=80>
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parents:
diff changeset
3895 <C>Tertia Proprietas.</C>
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parents:
diff changeset
3896 <MARG><I>Aqua per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3897 longius crus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3898 $iphonis ce-
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parents:
diff changeset
3899 leri&ugrave;s cur-
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parents:
diff changeset
3900 rit, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3901 per brevius.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3902 <p>AQua per longius crus $iphonis inver$i e&ograve; currit celeri&ugrave;s, qu&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3903 longius fuerit crus. Ratio e$t, quia qu&ograve; longius e$t crus, e&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3904 longius e$t aqu&aelig; de$cendentis perpendicul&utilde;, ac proinde e&ograve; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3905 ius pondus incumbit aqu&aelig; prope os, e&ograve;que magis premitur a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3906 qua in egre$lu, celeri&uacute;sque propterea effluit, &amp; con$equenter ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3907 leri&ugrave;s de$cendit. Hinc formo $equens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3908 <C>Axioma Hydraulicum IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3909 <MARG><I>Axioma hy
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3910 draulicum.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3911 <p><I>In hydraulicis per $iphones &amp; tubos longiores celeri&ugrave;s fluit aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3912 qu&agrave;m per breviores, po$ito eodem, aut &aelig;quali orificio per quod effluit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3913 <C>Quarta Proprietas.</C>
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parents:
diff changeset
3914 <MARG><I>Aqua per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3915 $iphon&etilde; fluit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3916 difformi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3917 celeritate.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3918 <p>AQua per longius crus $iphonis inver$i non effluit celeritate v-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3919 niformi, $ed difformi; augetur enim continu&ograve; celeritas de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3920 $cen$us, donec exhau$tum $it crus oppo$itum: nunquam tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3921 de$cendit tam celeriter aqua, qu&agrave;m $i liber&egrave;, hoc e$t, non per
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parents:
diff changeset
3922 $iphonem, $ed per tubum, aut extra tubum vel canalem de$cen-
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parents:
diff changeset
3923 deret. Ratio e$t, quia aqua effluens per crus longius AB, in an-
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casties
parents:
diff changeset
3924 tea po$ito, &amp; in quocunque alio $iphone, debet $ecum trahere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3925 contranitentem aquam cruris brevioris CB, n&egrave; detur vacuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3926 intra $iphonem; qu&aelig; aqua cruris brevioris quoniam continu&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3927 minuitur effluente aqua per os A, ideo facili&ugrave;s $emper ac faci-
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parents:
diff changeset
3928 li&ugrave;s attrahitur ab aqua cruris longioris AB; cuius proinde de$c&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3929 dentis celeritas continu&ograve; intenditur, donec exhau$tum $it to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3930 tum crus CB. Non &aelig;quat tamen celeritatem eam, qu&acirc; liber&egrave;
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parents:
diff changeset
3931 de$cenderet, non trahendo $ecum aquam alterius cruris; quia
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parents:
diff changeset
3932 qu&agrave;m diu re$tat aliquid aqu&aelig; in crure breviori CB, attrahere
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casties
parents:
diff changeset
3933 illud debet, vt po$$it effluere, ac proin de $emper aliquid retinet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3934 impedimenti; quo caret, dum liber&egrave; cadit. Adde qu&ograve;d qu&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3935 diuti&ugrave;s aqua effluit per A, e&ograve; aqu&aelig; cruris CB $uperficies ex-
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parents:
diff changeset
3936 trema C magis a$cendit ver$us B, adeoque &amp; perpendiculum
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parents:
diff changeset
3937 aqu&aelig; cruris CB continu&ograve; minuitur, aqu&aelig; interim, qu&aelig; ex crure
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3938 AB fluit, perpendiculo manente eodem. Augetur ergo a$$idu&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3939 proportio perpendiculi BA ad perpendiculum BC, adeoque &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3940 <pb n=81>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3941 proportio pre$$ionis aqu&aelig; BA ad pre$$ionem aqu&aelig; BC au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3942 getur; ergo, &amp;c. Dixi, donec exhau$tum $it totum crus CB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3943 oppo$itum: nam illo exhau$to, minuitur $emper magis ac magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3944 celeritas effluxus per os A, quoniam minuitur perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3945 aqu&aelig;, ac proinde $emper min&ugrave;s ac min&ugrave;s premitur aqua apud A.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3946 <C>Annotatio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3947 <p><I>In $iphone inver$o pluribus tubis qu&agrave;m duobus compo$ito eadem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3948 &amp; ob eandem cau$am contingunt, vt pat&ecedil;bit con$ideranti.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3949 <C>Propo$itio IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3950 <C>Siphonis mixti in&aelig;qualium crurium proprie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3951 tates a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3952 <p>SIphonum mixtorum crura vel $unt omnia &aelig;qualia, vel omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3953 <MARG><I>Siphonis mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3954 xti vari&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3955 $pecies.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3956 in&aelig;qualia, vel aliqua &aelig;qualia, aliqua in&aelig;qualia. De proprie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3957 tatibus $iphonis, cuius omnia crura $unt &aelig;qualia, agemus Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3958 po$it. $equenti; de reliquorum proprietatibus h&icirc;c agemus. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3959 igitur $iphon AKDI. Hic $i integer maneat, habebit omnia cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3960 ra in&aelig;qualia: $i truncetur in E, aut in B, habebit aliqua crura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3961 &aelig;qualia, alia in&aelig;qualia: $i truncetur in F, aut N, habebit iterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3962 omnia crura in&aelig;qualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3963 <C>Prima Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3964 <p>SI$iphon AKDI maneatinteger, &amp; repleatur totus aqu&acirc;, efflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3965 et ea totaper os I. Ratio e$t, quia perpendiculum DI lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3966 gius e$t qu&agrave;m perpendiculum DK, ut $upponitur; ergo pl&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3967 premitur aqua apud I, qu&agrave;m apud K, per dicta Propo$it. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3968 pr&aelig;cedente, Propriet. I. &amp; Capite I. Propriet. III. ac proinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3969 aqua DI trahit aquam DK; qu&acirc; tract&acirc;, $equitur etiam aqu<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3970 KA, tum proprio pondere, tum ad vacuum impediendum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3971 <C>Secunda Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3972 <p>SI crus DI truncetur in B, ita vtos B $it eiusdem altitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3973 $upra horizontom cum ore A, &amp; totus $iphon AKDB replea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3974 tur aqu&aacute;; e$t qui putat non effluere ex B, $ed effluere ex A, du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3975 rareque fluxum donec $uperficies aqu&aelig; B pervenerit ad C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3976 hoc e$t, donec effluxerit tantum aqu&aelig;, quantum e$tintra BDC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3977 <pb n=82>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3978 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3979 tunc enim, ait, ce$$abit fluxus ex A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3980 $tabitque aqua in &aelig;quilibrio intra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3981 AKC. Qu&ograve;d non effluat aqua ex B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3982 clarum e$t, quia perpendiculum BD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3983 brevius e$t qu&agrave;m perpendicul&utilde; DK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3984 erg&ograve; aqua DB non pote$t trahere a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3985 quam DK, &amp; mult&ograve; min&ugrave;s aqu&atilde; DKA.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3986 Qu&ograve;d autem effluat ex A, ration&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3987 a$$ignat, quia perdendiculum DK
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3988 longius e$t qu&agrave;m perpendiculum AK;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3989 ergo aqua DK forti&ugrave;s premit deor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3990 $um ver$us K, qu&agrave;m aqua AK, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3991 proinde aqua AK debet cedere, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3992 effluere ex A, ac $equi tota reliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3993 aqua, n&egrave; vacuum detur. Qu&ograve;d de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3994 nique ce$$et fluxus aqu&aelig; ex A, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3995 do $uperficies B pervenerit ad C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3996 rationem dat, quia tunc perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3997 la CK, AK, $unt &aelig;qualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3998 <p>Experenti&acirc; tamen con$tat, in dicto ca$u null&atilde; effluere aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3999 ex Siphone AKDB, neque per os B, neque per os A. Rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4000 ad$igno, quia aqua qu&aelig; e$t in AKC, ita e$t librata, vt &agrave; poten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4001 tia quantumvis parva moveri, &amp; ex vna parte attolli po$$it; qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4002 re humido CD $upra $e po$ito non re$i$tit. I am ver&ograve; quoniam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4003 perpendicula crurium DC, DB &aelig;qualia $unt, aqua in C &aelig;qu&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4004 premitur ac in B; quare c&ugrave;m nec infra B, nec infra C vllum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4005 $it impedimentum extrin$ecum, pr&aelig;ter a&euml;rem (iam enim o$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4006 $um e$t, aquam CKA non re$i$tere humido CD de$cendenti)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4007 pariter ex A &amp; B aqua deberet effluere; quod fieri non pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4008 absque vacuo. Patet ergo cur aqua con$i$tat. Dices, in hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4009 di$cur$u committitur manife$tus paralogi$mus; dividitur enim
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parents:
diff changeset
4010 mente crus DK in puncto C, &amp; di$curritur ac $i realiter ibidem
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parents:
diff changeset
4011 e$$et facta divi$io; Natura non dividit aquam cruris DK in pun-
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parents:
diff changeset
4012 cto C, nec propter no$tras intellectuales divi$iones mutat ope-
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parents:
diff changeset
4013 <pb n=83>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4014 randi vim, c&ugrave;m non ob$tante illa divi$ione revera crus DK lon-
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parents:
diff changeset
4015 gius $it, qu&agrave;m crus AK. Re$pondeo, quamvis DK longius $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4016 qu&agrave;m crus AK, eius tamen activitati $eu pre$$ioni deor$um non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4017 $ol&ugrave;m re$i$tit crus AK, $ed etiam crus DB; illud, n&egrave; aqua KA
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4018 pellatur $ur$um; hoc, n&egrave;aqua AD trahatur $ur$um: vnde per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4019 pendiculum DK habet duplicem re$i$tentiam, $cilicet DB, &amp; AK;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4020 qu&aelig; du&aelig; re$i$tenti&aelig; &aelig;quant eius activitatem, &amp; con$equenter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4021 impediunt motum aqu&aelig; DK, eiusque fluxum, $ive per os A, $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4022 ve per os B. Divi$io autem intellectualis cruris DK in puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4023 C fit $ol&ugrave;m ad o$ten dendum quomodo duplex pr&aelig;dicta re$i$t&etilde;-
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casties
parents:
diff changeset
4024 tia &aelig;quivaleat activitati totius cruris DK.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4025 <C>Tertia proprietas.</C>
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casties
parents:
diff changeset
4026 <p>SI crus DI truncetur in F, vt os F $it inferius qu&agrave;m os A;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4027 idem qui $upr&agrave; putat non effluere aquam ex F, $ed ex A, du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4028 rareque ut antea fluxum, donec $uperficies F pervenerit v$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4029 ad C. Rationem eandem dat cum illa, quam ad$ignavit paul&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4030 ant&egrave;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4031 <p>E&acirc;dem tamen experienti&auml; con$tat, aquam in hoc ca$u ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4032 fluere ex F, donec aqua cruris AK de$cenderit in H ad pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4033 rem cum F altitudinem. Ratio e$t, quia humidum in F ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4034 gis premitur, qu&agrave;m in C, id e$t, qu&agrave;m in A, ob longius per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4035 pendiculum DF, qu&agrave;m DC; quare humidum in F de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4036 det, trahet&qacute;ue humidum reliquum, n&egrave; detur vacuum. Nec re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4037 fert, qu&ograve;d dividatur intellectu crus DK in puncto C, &amp; compa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4038 retur crus DF cum parte DC $ol&ugrave;m, ac $i &amp; Natura ibidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4039 divi$i$$et crus DK; hoc enim $ol&ugrave;m fit ob rationem paul&ograve; ant&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4040 allatam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4041 <C>Quarta Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4042 <p>SI crus DI truncetur in E, vt os E habeat eandem altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4043 cum puncto K; ille idem qui $upr&agrave; exi$timat nihil effluere, neq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4044 ex E, neque ex A. Ratio eius e$t, quia perpendicula DE, DK $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4045 &aelig;qualia; ergo aqua apud E non pl&ugrave;s premitur qu&agrave;m apud K, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4046 apud K pl&ugrave;s qu&agrave;m apud E; ergo neque ex E, neque ex A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4047 effluere pote$t aqua, n&egrave; &aelig;qualis potentia dicatur $upera$$e &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4048 qualem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4049 <pb n=84>
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casties
parents:
diff changeset
4050 <p>Dicendum tamen, e&acirc;dem experienti&aacute; duce, effluxuram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4051 aquam ex E, duraturumque fluxum, donec $uperficies A per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4052 venlat ad K, &amp; non vltr&agrave;. Rationem ad$igno, quia perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4053 diculum DE longius e$t, qu&agrave;m DC, dum plenus e$t tubus. Dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4054 autem aqua de$cenderit ad K, perpendicula DK, DE $unt &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4055 qualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4056 <C>Quinta Proprietas.</C>
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parents:
diff changeset
4057 <p>Si crus DI truncetur in N, effluet aqua ex A, donec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4058 $uperficies N perveniat in C, vbi con$i$tet. Ratio e$t, quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4059 altitudo aqu&aelig; DK, vel poti&ugrave;s DC, maior e$t, qu&agrave;m altitudo DN.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4060 <C>Sexta Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4061 <p>Effluxus aqu&aelig; in pr&aelig;dictis ca$ibus, $ive ex ore A, $ive ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4062 ore F, E, I, non e$t vniformis, $ed difformis, eo pror$us modo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4063 quo diximus in Propo$it. III. pr&aelig;ced. Proprietate IV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4064 <C>Propo$itio V.</C>
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casties
parents:
diff changeset
4065 <C>Siphonis mixti &aelig;qualium crurium proprieta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4066 tes a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4067 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4068 <p>EX $iphone mixto &aelig;qualium crurium, qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4069 lis e$t ABCD, in appo$ito $chemate, $i a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4070 qu&acirc; totus repleatur; effluit aqua ex D. Ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4071 tio e$t, quia licet tam perpendicula AB, CB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4072 qu&agrave;m perpendicula CD, CB, $int &aelig;qualia;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4073 quia tamen aqua CB &aelig;quilibrata e$t ab aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4074 AB, poterit &agrave; qualibet potentia facillim&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4075 moveri, ideoque ab aqua CD deor$um ni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4076 tente poterittrahi, &amp; effluere ex D; &amp; ita de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4077 facto contingit, vt experientia docet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4078 <C>Propo$itio VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4079 <C>Inver$i Siphonis, va$i vno crure impo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4080 to, proprietates a$$ignare.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4081 <MARG><I>Crus inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4082 num, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4083 crus exter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4084 num $ipho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4085 nis</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4086 <p>OBvia $unt qu&aelig; dicam, ide&ograve; breviter expediam. E$to igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4087 vas aqu&acirc; plenum ABCD, cui inver$i $iphonis crus vnum FE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4088 immergatur, alterum FN foris maneat. Vocetur autem crus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4089 <pb n=85>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4090 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4091 FE internum, crus ver&ograve; FN
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4092 externum. Huius fiphonis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4093 vari&aelig; $unt proprietates, provt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4094 vari&egrave; difponi poterit crus eius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4095 externum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4096 <C>Prima Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4097 <p>Si enim crus exter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4098 num FN maneat integrum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4099 &amp; ex ore N ex$ugatur a&euml;r; $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4100 quetur a<*> va$is, ob vacui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4101 metum, &amp; tota effluet, aut p&oelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4102 n&egrave; tota (donec nimirum aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4103 $uperficies $uperior CD de$cen-
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parents:
diff changeset
4104 derit v$que ad o$culum E) $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4105 internum crus fundum p&oelig;n&egrave;
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parents:
diff changeset
4106 tangat. Ratio e$t, quia per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4107 pendiculum externi cruris e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4108 longius qu&agrave;m interni. Si to-
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casties
parents:
diff changeset
4109 tus $iphon aqu&acirc; impleatur, &amp;
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casties
parents:
diff changeset
4110 vtrumque orificium claudatur, ac deinde minus crus EF aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4111 imponatur, maiori foras prominente, &amp; $imul vtrumque orifi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4112 cium aperiatur; idem fiet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4113 <p>Effluet tamen in&aelig;qualiter, cum perpetuo nimir&utilde; celerita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4114 tis decremento, quia perpendiculum aqu&aelig; cruris interni, altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4115 do nempe aqu&aelig; &agrave; puncto P u$que ad $uperficiem $uperiorem
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parents:
diff changeset
4116 aqu&aelig; va$is (h&aelig;c enim $ola premit actu, reliqu&aelig; ver&ograve; inferiores
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parents:
diff changeset
4117 actu non premunt, per dicta cap. 1. Proprietate V.) $emper ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4118 gis ac magis cre$cit, ac proinde $emper magis magi$que re$i$tit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4119 perpendiculo aqu&aelig; cruris externi.
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parents:
diff changeset
4120 <p>Qu&ograve; ver&ograve; crus externum longius fuerit infra $uperficiem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4121 <MARG><I>Aqua in<*>
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parents:
diff changeset
4122 quali cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4123 ritate efflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4124 it ex crure
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parents:
diff changeset
4125 externo $i-
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parents:
diff changeset
4126 phonis,</I></MARG>
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parents:
diff changeset
4127 $uperiorem aqu&aelig; va$is, e&ograve; fluet aqua celeri&ugrave;s, &amp; &aelig;qualibus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4128 poribus copio$i&ugrave;s: quia tunc e&ograve; magis perpendiculum externi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4129 $uperabit perpendiculum interni cruris in longitudine, &amp; vi pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4130 mendi deor$um. Non tamen $ufficit, ut crus externum $it qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4131 <pb n=86>
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parents:
diff changeset
4132 cunque ratione longius crure interno, $ed nece$$arium omnino
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4133 e$t ut perpendiculum externi cruris longius $it perpendiculo in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4134 terni, juxta dicta $upr&agrave; Protheoria I. &sect;. VI.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4135 <C>Secunda Proprietas.</C>
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casties
parents:
diff changeset
4136 <p>Si crus externum FN decurtetur in K, &amp; internum tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4137 gat fer&egrave; fundum in E, &amp; ex ore K extrahatur aer; $equetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4138 aqua u$que ad os K, propter vacui metum, &amp; tota fer&egrave; effluet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4139 donec nimir&utilde; perveniat $uprema aqu&aelig; $uperficies u$q; ad o$cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4140 lum E. Ratio e$t, quia perpendiculum cruris externi longius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4141 e$t qu&agrave;m interni. At po$tquam aqua pervenerit u$que ad o$cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4142 lum E, nihil amplius effluit, quia perpendicula FE, FK $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4143 &aelig;qualia. H&aelig;rebit ergo aqua in &aelig;quilibrio in utroque crure.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4144 <C>Tertia Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4145 <p>Si crus externum FN decurtetur in H, &amp; internum <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4146 infra lineam LM, aut pertingat $olummod&ograve; u$que ad d<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4147 lineam; vas tamen $it plenum u$que ad lineam CD, aut<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4148 aqua $it $upra lineam LM; effluet aqua per os H, donec $upre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4149 ma aqu&aelig; va$is $uperficies perveniat u$que ad lineam LM, &amp; non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4150 ampli&ugrave;s. Ratio e$t, quia antequam dicta aqu&aelig; $uperficies per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4151 veniat ad lineam LM, perpendiculum cruris externi e$t $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4152 per longius perpendiculo cruris interni; quando ver&ograve; de$cendit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4153 jam ad dictam lineam, am bo perpendicula $unt&aelig;qualia. Fluxus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4154 porr&ograve; difformitas quoad celeritatem aut tarditatem eadem e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4155 qu&aelig; antea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4156 <C>Quarta Proprietas.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4157 <p>Si crus externum decurtetur in G, ut $it eju$dem altitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4158 nis $upra Horizontem cum $uperficie humidi CD, &amp; aqua at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4159 trahatur in G; nihil effluet, quia perpendicula $unt &aelig;qualia:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4160 quare aqua h&aelig;rebit in &aelig;quilibrio in utroque crure.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4161 <C>Corollarium I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4162 <p>Ex his colligitur prim&ograve;, Si vas $it plenum $olummod&ograve; u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4163 <MARG><I>Perpendicu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4164 li exce$$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4165 tuetur Na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4166 tura in a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4167 qu&aelig; fluxu.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4168 ad lineam LM, &amp; $iphonis crus externum decurtetur in H, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4169 G, vel O, internum ver&ograve; pertingat u$que ad fundum; nihil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4170 po$$e effluere ex crure externo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4171 <pb n=87>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4172 <C>Corollarium II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4173 <p>Colligitur $ecund&ograve;, qu&agrave;m pertinax $it Natura, vel con$tans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4174 poti&ugrave;s, in retinendo atque tuendo perpendiculi exce$$u, n&egrave; mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4175 <MARG><I>Perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4176 lo, non copia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4177 aqu&aelig; Natu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4178 ra pugnat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4179 ac vincit, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4180 hydrauli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4181 cis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4182 nor aut &aelig;qualis potentia dicatur vici$$e majorem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4183 <C>Corollarium III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4184 <p>Colligitur terti&ograve;, quomodo Natura in Hydraulicis pugnet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4185 ac $uperet, non aquarum copi&acirc;, $ed altitudine perpendiculari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4186 <C>Corollarium IV.</C>
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parents:
diff changeset
4187 <p>Colligitur quart&ograve;, $iphonis operationes hydraulicas ad li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4188 br&aelig; operationes commod&egrave; revocari po$le, uti mox dicemus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4189 Propo$it: VIII. $eq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4190 <C>Pori$ma.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4191 <MARG><I>Fonticulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4192 duplex ope
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casties
parents:
diff changeset
4193 $iphonis in-
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casties
parents:
diff changeset
4194 ver$i.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4195 <FIG>
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parents:
diff changeset
4196 <p>Hinc etiam patet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4197 qua ratione $iphonis
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parents:
diff changeset
4198 inver$i pr&aelig;$idio fonti-
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parents:
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4199 culus duplex exhiberi
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parents:
diff changeset
4200 po$$it, $i nimirum crus
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parents:
diff changeset
4201 brevius AB indatur
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parents:
diff changeset
4202 vitreo protuberanti
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parents:
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4203 ventri BC, habeatque
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parents:
diff changeset
4204 intra ventrem $tricti$$i-
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parents:
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4205 mum o$culum B aper-
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parents:
diff changeset
4206 tum; deinde ex eodem
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casties
parents:
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4207 ventre derivetur crus
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parents:
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4208 longius DE in curva-
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4209 tum inferi&ugrave;s, &amp; apud E
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4210 de$in&etilde;s in o$culum an-
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4211 gu$tum. Si enim hu-
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parents:
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4212 ju$modi $iphon impo-
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4213 natur va$i pleno, &amp; ex
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4214 o$culo E $ugatur a&euml;r;
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parents:
diff changeset
4215 a$cendet aqua per crus AB, &amp; in ventre exiliet radios&acirc; virgul&acirc;
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diff changeset
4216 vix a$pectabili, indeque $e demittet in crus alterum longius DE,
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parents:
diff changeset
4217 cogeturque $ua propendente demi$$ione ad ejectionem e&ograve; altio-
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parents:
diff changeset
4218 rem, qu&ograve; profundi&ugrave;s de$cendet.
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diff changeset
4219 <pb n=88>
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casties
parents:
diff changeset
4220 <C>Propo$itio VII.</C>
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parents:
diff changeset
4221 <C>Cau$am ad$ignare, cur quando o$culum externi cruris
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parents:
diff changeset
4222 $iphonis inver$i, e$t altius, aut &aelig;qu&egrave; altum ac aqu&aelig; $uperficies
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parents:
diff changeset
4223 $uprema in va$e, aqua non fluat; quando ver&ograve;
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parents:
diff changeset
4224 e$t demi$$ius, fluat.</C>
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parents:
diff changeset
4225 <p>VIdimus, experientiam docere, quando perpendiculum cru-
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parents:
diff changeset
4226 ris externi $iphonis inver$i, e$t minus, aut &aelig;quale perpendi-
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parents:
diff changeset
4227 culo cruris interni, u$que ad $upremam aqu&aelig; $uperficiem aquam
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parents:
diff changeset
4228 non effluere po$$e per os externi cruris, ce$$ante $uctu, $eu attra-
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parents:
diff changeset
4229 ctione; quando ver&ograve; perpendiculum externi e$t majus qu&agrave;m in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4230 terni cruris in $en$u expo$ito, fluere donec &aelig;qualia fiant perpen-
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parents:
diff changeset
4231 dicula, aut donec tota effluxerit aqua ex va$e. Qu&aelig;ritur nunc
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casties
parents:
diff changeset
4232 hujus ph&aelig;nomeni cau$a.
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casties
parents:
diff changeset
4233 <MARG><I>Siphonis
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casties
parents:
diff changeset
4234 crus longius
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parents:
diff changeset
4235 $uperat bre-
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casties
parents:
diff changeset
4236 vius, non
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parents:
diff changeset
4237 capacius mi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4238 <*> capax.</I></MARG>
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casties
parents:
diff changeset
4239 <p>Hero Alexandrinus in libello de Spiritalibus cap 1. ait,
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parents:
diff changeset
4240 quo$dam putare, cau$am e$$e, qu&ograve;d aqua cruris externi debeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4241 trahere aquam cruris interni, ac proinde illa debeat e$$e major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4242 ac copio$ior, qu&agrave;m h&aelig;c. Sed hoc minim&egrave; verum e$$e, patet ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4243 eo (quod etiam Hero advertit) qu&ograve;d licet crus externum $it lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4244 g&egrave; amplius atque capacius interno, multo&qacute;ue pl&ugrave;s aqu&aelig; conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4245 neat; $i tamen longius non e$t, nequaquam effluit ex ip$o aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4246 $ed ubi ce$$at violenta $uctio, $eu tractio, tota refluit per crus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4247 ternum longius intra vas. Non ergo externum crus $uperat in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4248 ternum, qu&ograve;d aqu&aelig; pl&ugrave;s contineat. Itaque videamus natura-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4249 lem cau$am &amp; genuinam, ex Heronis prim&ograve;, deinde ex no$tra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4250 $ententia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4251 <p>Diximus cap. 1. Propriet. II. aqu&aelig; continu&aelig; &amp; quie$centis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4252 $uperficiem $uperiorem e$$e $ph&aelig;ricam (etiam in parvis va$is, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4253 receptaculis, licet in$enfibiliter) centrum habentem idem quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4254 Terra, $eu globus Terraqueus; non quie$centem ver&ograve; aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4255 tam diu fluere, donec partes continu&aelig; in una $uperficie $ph&aelig;rica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4256 con$tituantur, hoc e$t, donec omnes extim&aelig; $uperficiei partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4257 continu&aelig; &aelig;qualiter di$tent &agrave; centro Terr&aelig;. Hoc po$ito putat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4258 Hero, cau$am ob quam, quando externi cruris orificium e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4259 <pb n=89>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4260 &aelig;qu&egrave; altum ac $uperficies $uperior aqu&aelig; va$is, hoc e$t, quando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4261 <MARG><I>Heronis opi-
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parents:
diff changeset
4262 nio circa a-
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casties
parents:
diff changeset
4263 qu&aelig; fluxum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4264 &egrave; crure ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4265 terno $ipho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4266 nis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4267 externum crus e$t &aelig;quale interno quoad longitudinem, u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4268 ad aqu&aelig; $uperficiem $upremam va$is, aqua non effluat ex crure
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4269 externo, etiam$i $iphon $it plenus aqu&acirc;, e$$e, quia tunc aqua $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4270 phonis continuatur cum aqua va$is, &amp; utriu$que $uperficies ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4271 trema &aelig;qualiter di$tat &agrave; centro Mundi: Cau$am ver&ograve; cur, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4272 do externi cruris orificium e$t demi$$ius $uperficie extrema aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4273 va$is, effluat, e$$e, quia tunc $uperficies aqu&aelig; va$is e$t altior, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4274 $uperficies aqu&aelig; cruris externi, cum cujus aqua continuatur, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4275 proinde tam diu fluere debet aqua va$is, po$tquam $emel fluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4276 c&oelig;pit, donec $uperficies fiant &aelig;qualiter di$tantes &agrave; centro Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4277 r&aelig;. Ob contrariam ergo cau$am, $ecund&ugrave;m Heronem non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4278 effluit aqua ex crure externo breviore, $ed refluit intra vas quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4279 nimirum $uprema $uperficies aqu&aelig; va$is e$t declivior, qu&agrave;m $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4280 perficies aqu&aelig; cruris externi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4281 <p>C&oelig;ter&ugrave;m cur aqua in $ecundo ca$u, ex va$e a$cendat ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4282 $iphonis $ummitatem, contra ejus naturam, indeque de$cendat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4283 ad orificium u$que externi cruris, non e$t ob cau$am jam ad$igna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4284 tam, $ed ut impleat, aut impediat vacuum, $eu quia trahitur vio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4285 lenter ad impediendum, aut implendum vacuum. Quoniam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4286 enim ex crure externo extrahitur a&euml;r, trahit is $ecum, n&egrave; vacuus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4287 maneat $iphon, &amp; di$continuentur corpora, nempe a&euml;r &amp; aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4288 trahit inquam $ecum aquam u$que ad orificium cruris externi;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4289 qu&ograve; ubi pervenerit, nullam ampli&ugrave;s violentiam patitur ab a&euml;re,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4290 nec ab alio extrin$eco agente, $ed natur&aelig; $u&aelig; relinquitur, ut pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4291 illa incipiat, aut pro$equatur fluxum, cujus $uperficies extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4292 ma min&ugrave;s di$tat &agrave; centro Mundi, duretque fluxus, donec am-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4293 b&aelig; $uperficies &aelig;quales fiant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4294 <C>Experimentum.</C>
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casties
parents:
diff changeset
4295 <p>ES$e porr&ograve; hanc, quam ad$ignavit Hero, genuinam dicti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4296 ph&aelig;nomeni cau$am, confirmat ip$e tali Experimento. <I>Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4297 <MARG>Experimen
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casties
parents:
diff changeset
4298 tum circa
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casties
parents:
diff changeset
4299 aqu&aelig; flux&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4300 ex $iphone.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4301 $umentes,</I> inquit, <I>duo va$a</I> (cuju$modi $unt A &amp; B in appo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4302 $itis figuris) <I>injiciemus humidum in utrumque ip$orum, &amp; implentes</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4303 <pb n=90>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4304 <I>$iphonem, digiti$que ip$ius o$cula comprehendentes, demittemus alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4305 rum crus in unum dictorum va$orum adeo, ut aqu&acirc; demergatur; alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4306 rum ver&ograve; in alterum vas,</I> (ut aqua etiam demergatur, prout in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4307 appo$itis figuris apparet;) <I>fiet tota aqua continua; utrumque enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4308 humidorum, qu&aelig; $unt in v&aelig;$ibus,</I> (ita interpres) <I>conjungitur cum eo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4309 quod e$t in $iphone, ita ut totum continuum fiat. Si igitur $uperficies</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4310 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4311 <I>humidorum, qu&aelig; pri&ugrave;s erant in va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4312 $ibus, in una $uperficie con$i$tant,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4313 ut in prima figura; <I>quie$cet &amp; $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4314 utraque ip$arum demer$o $iphone:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4315 $in min&ugrave;s,</I> ut in $ecunda figura;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4316 <I>quoniam aqua continua facta e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4317 nece$$ari&ograve; ob continuitatem in hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4318 miliorem locum fluet, quou$&queacute; vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4319 omnis aqua, qu&aelig; in va$ibus, in una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4320 $uperficie $it, vel alterum va$orum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4321 exin&atilde;iat<*>r,</I> illud videlicet, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4322 altiori fuerit loco. <I>Fiant igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4323 in una $uperficie humida, qu&aelig; $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4324 in va$ibus; quie$cent utique, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4325 ut etiam humidum, quod e$t in $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4326 phone, $imul quie$cat. Qu&ograve;d $i</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4327 <MARG>Siphon in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4328 ver$us &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4329 qualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4330 crurium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4331 longitu di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4332 ne, in&aelig;qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4333 lium capa-
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casties
parents:
diff changeset
4334 citate, reti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4335 net aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4336 $u$pen$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4337 $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4338 Heronem.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4339 <I>quis mente concipiat $iphonem <*>$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4340 $ectum juxta $uperficies humidorum, qu&aelig; $unt in va$ibus; &amp; ita qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4341 e$cet humidum, quod e$t in $iphone: ergo &amp; $iphone ip$o $u$pen$o, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4342 in neutram partem inclinato, rur$us quie$cet humidum, $ive &aelig;qualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4343 omnino habens latitudinem, $ive alterum crus altero multo majus $it;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4344 non enim in hoc cau$a e$t, cur humidum quie$cat, $ed in eo, qu&ograve;d ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4345 $ius o$cula &aelig;qualiter jaceant.</I> H&aelig;c Hero. lege etiam qu&aelig; $equun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4346 tur apud ip$um in eodem cap. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4347 <p>Sed h&aelig;c cau$a ex Herone ad$ignata non videtur e$$e ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4348 <MARG><I>Heronis opi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4349 nio exami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4350 natur.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4351 ra, aut $altem non e$t ad&aelig;quata. Prim&ograve; enim, $i ideo fluit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4352 aqua ex crure longiore, AD, $eu potius CD, $ecund&aelig; figur&aelig;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4353 quia $uperfies extrema aqu&aelig; ip$ius non e$t &aelig;qualis $uperficiei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4354 <pb n=91>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4355 extrem&aelig; aqu&aelig; alterius cruris, BF, $eu potius EF, $ed demi$$ior;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4356 ergo quando $iphon $ive &aelig;qualium, $ive in&aelig;qualium crurium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4357 aqu&adot; plenus, &amp; utrimque compre$$is digitis obturatus, imponi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4358 tur duobus pr&aelig;dictis va$is aqu&adot; plenis, quorum unius $uperficies
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4359 $uprema aqu&aelig; altior e$t, qu&agrave;m alterius, effluitque aqua intra vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4360 demi$$ius, e&ograve; qu&ograve;d alterius $uperficies $uprema altior e$t, &amp; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4361 decliviorem locum tendit, nititurque $uperficiem $uam ad&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4362 quare $uperficiei alterius va$is humilioris; ergo inquam, quando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4363 hoc contingit, aqua ex va$e altiore a$cendit naturaliter &amp; inna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4364 to appetitu ad $iphonis $uperiorem partem, indeque de$cendit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4365 intra vas humilius; naturaliter enim aqu&aelig; partes altiores fluunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4366 ad loca decliviora. Deinde $i illa e$t cau$a ad&aelig;quata, cur quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4367 do $iphon ina qualium crurium repletur aqu&acirc;, &amp; $ecund&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4368 longius crus immergitur aqu&aelig;, <*>revius ver&ograve; extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4369 in a&euml;re relinquitur, cur<*>quam, no<*>uit aqua per externum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4370 ubi nullum e$t impedimentum pr<*>te<*>erem? pote$t enim aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4371 per exte num fluere <*>d loca decliviora, &amp; fundare unam conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4372 nuam $uperficiem di$tinctam &agrave; $uperficie, qu&aelig; in va$e e$t; &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4373 pr&aelig;terea inclinationem habet ad de$cendendum, non ver&ograve; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4374 a$cendendum. Pr&aelig;terea, cur quando $iphon in&aelig;qualium cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4375 rium repletur aqua, &amp; tenetur inver$us in a&euml;re, non effluit aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4376 ex crure breviori, cum ejus aqua pl&ugrave;s di$tet &agrave; centro Terr&aelig;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4377 qu&agrave;m aqua cruris longioris? Alia ergo cau$a ad$ignari debet, cur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4378 aqua cruris longioris, $eu externi, $eu interni, vincataquam cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4379 ris brevioris; quam paul&ograve; po$t dabimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4380 <p>Qui tamen Heronis $ententiam tueri volet, ad has ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4381 nes in contrarium allatas re$pondere poterit, ut $equitur. Nem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4382 pe ad primam, aquam cruris brevioris non a$cendere naturali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4383 ter, $ed tractam ab aqua cruris longioris AD, $eu CD, ad va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4384 cuum in $iphone impediendum, &amp; ad tuendam continuitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4385 partium aqu&aelig; aqua enim cruris longioris AD, $eu CD, de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4386 dit naturaliter (utpote tendens ad locum decliviorem) $ecum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4387 que trahit reliquam aquam, quia $uprema $uperficies va$is A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4388 cum qua continuatur aqua $iphonis, &amp; va$is B, e$t declivior,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4389 <pb n=92>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4390 $uprema ver&ograve; $uperficies va$is B e$t altior, &amp; debet fieri &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4391 litas inter ip$as: qu&aelig; non fieret, $i aqua $iphonis BF, $eu EF, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4392 $cenderet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4393 <p>Ad $ecundam, non effluere aquam per brevius, $ed per lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4394 gius crus, quia aqua amat continuitatem $uarum partium, &amp; ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4395 petit habere $uperficiem $upremam omnium partium &aelig;qualiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4396 di$tantem &agrave; centro Terr&aelig;; quorum utrumque obtinet, $i ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4397 fluit aqua per longius crus; neutrum, $i per brevius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4398 <p>Ad Tertiam, ideo non effluere aquam &egrave; crure breviore, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4399 &egrave; longiore, quia aqua cruris brevioris e$t altior, &amp; aqua cruris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4400 longioris declivior: curruntautem aqu&aelig; continuat&aelig; partes alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4401 <MARG><I>Authoris o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4402 pinio circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4403 aqu&aelig; flux&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4404 &egrave; crure ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4405 terno longio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4406 re $iphonis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4407 ores ad decliviores naturaliter, &amp; non h&aelig; ad illas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4408 <p>Sed quidquid $it de hac Heronis $ententia, mihi magis pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4409 cet $equens ratio allati ph&aelig;nomeni, qu&aelig; univer$alis e$t &amp; in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4410 omnibus $imilibus ca$ibus locum habet, ut vidimus in pr&aelig;ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4411 dentibus, &amp; iterum videbimus infr&agrave; hoc eodem capite Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4412 $it. 13. &amp; 14. Pro qua recolendum e$t, quod diximus $upr&agrave; Ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4413 pite 1. Proprietate IV. ex Archimede, aqu&aelig; &amp; humidi cuju$cun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4414 que partem unamquamque premi humido $upra ip$am exi$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4415 ad perpendiculum, $i humidum $it de$cendens in aliquo, aut cer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4416 t&egrave; nullum habeat impedimentum, ut de$cendat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4417 <p>Dico itaque, cau$am hujus rei e$$e eandem cum ea, qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4418 ad$ignata fuit in pr&aelig;cedentibus, quia nimirum aqua cruris lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4419 gioris potentior e$t ad de$cendendum, $ecumque trahendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4420 aquam cruris brevioris, qu&agrave;m aqua cruris alterius; &amp; hoc ideo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4421 quia aqua premit ac premitur, dum premit ac premitur, ad per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4422 pendiculum, hoc e$t, $ecund&ugrave;m lineam qu&aelig; tran$it per centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4423 Mundi. Cujus ergo aqu&aelig; perpendiculum longius e$t, illa ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4424 gis premit ac vincit, hoc e$t, de$cendit, $i nihil ob$tet de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4425 $um impediens, ut in no$tro ca$u contingit. H&icirc;c ergo verum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4426 etiam e$t, qu&ograve;d <I>in Hydraulicis pugnatur &amp; vincitur non pondere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4427 aut copi aquarum, $ed perpendiculis,</I> juxta Axioma hydraulicum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4428 2. quod $upr&agrave; Propo$itione 2, formatum fuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4429 <pb n=93>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4430 <C>Proprietas VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4431 <C>Siphonem ad Libram $eu vectem revocare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4432 filtrum ad $iphonem.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4433 <p>ESto recta linea AB, divi$a bifariam in puncto C. Si huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4434 puncto C $upponatur hypomochlion G, aut alligetur fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4435 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4436 lum FG; $tabit, h&aelig;rebitque li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4437 nea AB in &aelig;quilibrio horizon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4438 ti parallela, &amp; neutra pars pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4439 valebit. Si prolongetur pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4440 CB u$que ad D, pr&aelig;valebit pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4441 CD parti CA, &amp; de$cendet. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4442 prolongetur eadem pars CB, u$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4443 que ad E, adhuc magis pr&aelig;vale-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4444 bit pars C parti CA, cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4445 riu$&qacute;ue de$cendet; &amp; qu&ograve; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4446 gis prolongabitur pars longior,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4447 e&ograve; magis pr&aelig;valebit breviori,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4448 magi$que celeriter de$cendet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4449 Linea porr&ograve; AB, aut AD, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4450 AE, $i hypomochlio G impo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4451 natur, repr&aelig;$entatvectem; $i &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4452 filo FC $u$pendatur, repr&aelig;$entat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4453 libram, aut $tateram.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4454 <p>E$to jam $iphon ACB, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4455 <MARG><I>Siphon tam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4456 erectus. qu<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4457 inver$us, re
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4458 vecatur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4459 libram.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4460 erectus, $ive inver$us, divi$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4461 mente in duas &aelig;quales partes AC, BC, &amp; repleatur totus aqu&acirc;;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4462 ex neutro crure effluet, ut vidimus atque probavimus, $ed aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4463 $tabit, h&aelig;rebitve in duobus cruribus AC, BC, in &aelig;quilibrio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4464 Si prolongetur crus CB, u$que ad D, &amp; repleatur totus $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4465 phon aqu&acirc;; pr&aelig;valebit crus CD, &amp; aqua ejus in inver$o $ipho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4466 ne effluens $ecum trahet reliquam; in erecto ver&ograve; $iphone de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4467 $cendet &amp; expellet reliquam per os A. Si prolongetur idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4468 crus CB u$que ad E, adhuc magis pr&aelig;valebit crus CE, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4469 gi$que celeriter de$cendet ejus aqua, &amp; vel $ecum trahet reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4470 quam, vel illam $ub$idendo expellet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4471 <pb n=94>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4472 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4473 <p>Patet ergo, quomodo $iphon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4474 tam erectus, qu&agrave;m inver$us, re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4475 vocetur ad libram, aut vectem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4476 <p>Filtrum appellamus panni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4477 <MARG><I>Filtrum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4478 vocatur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4479 $iphonem.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4480 laciniam ACB, pendentem ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4481 va$e A, ita ut pars AC $it in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4482 tra vas, &amp; aqu&aelig; immer$a, $al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4483 tem ex parte; pars ver&ograve; altera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4484 CB extra vas pendeat. H&aelig;c
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4485 panni lacinia $i pri&ugrave;s madefiat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4486 tota, deinde modo dicto ex va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4487 $e aqu&acirc; pleno $u$pendatur; tra-
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diff changeset
4488 hit aquam non $ecus ac $iphon,
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diff changeset
4489 $i pars exterior fuerit longior
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diff changeset
4490 qu&agrave;m interior; $i &aelig;qualis, aut
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diff changeset
4491 brevior, non trahit. Con$tat
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diff changeset
4492 ergo, filtrum ad $iphonem re-
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diff changeset
4493 duci.
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diff changeset
4494 <C>Propo$itio IX.</C>
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diff changeset
4495 <C>Diabetem $piritalem de$cribere, eju$que
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diff changeset
4496 proprietates ad$ignare.</C>
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diff changeset
4497 <p>EO$dem fer&egrave; effectus, quos pr&aelig;$tat $iphon inflexus, cujus
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diff changeset
4498 unum crus va$i imponitur, pr&aelig;$tat etiam tubus certo mo-
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diff changeset
4499 do va$i implantatus, quem Hero Alexandrinus vocat medium
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diff changeset
4500 $piritalem diabetem, qua$i dicas, pera$cen$orem; alij ver&ograve; vo-
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diff changeset
4501 cant tubum $uffocabilem. Sic autem con$truitur.
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diff changeset
4502 <pb n=95>
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diff changeset
4503 <FIG>
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diff changeset
4504 <p>Sit vas ABCD. Per ejus fundum
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diff changeset
4505 <MARG><I>Diabetes
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diff changeset
4506 $piritalis
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diff changeset
4507 quomodo
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diff changeset
4508 con$trua-
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diff changeset
4509 tur.</I></MARG>
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parents:
diff changeset
4510 CD trajiciatur tubus EF utrimq;
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diff changeset
4511 apertus, ip$i fundo coarctatus, &amp;
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diff changeset
4512 in partem inferiorem excedens
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diff changeset
4513 apud F; at o$culum ejus $uperi-
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diff changeset
4514 us E non ad&aelig;quet altitudinem
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diff changeset
4515 va$is, $ed $it paul&ograve; inferius. Huic
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diff changeset
4516 tubo EF circumponatur alius tu-
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diff changeset
4517 bus GHI, $uperius clau$us, qui
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diff changeset
4518 tamen o$culum E non attingat,
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diff changeset
4519 $ed tantum ab ip$o di$tet, quant&utilde;
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diff changeset
4520 $ufficit ad aqu&aelig; ingre$$um per
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diff changeset
4521 o$culum E: inferi&ugrave;s ver&ograve; vel non attingat undequaque fun-
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diff changeset
4522 dum va$is; vel<*> attingit, relinquatur &agrave; latere foramen I, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4523 quod aqua intrare po$$it.
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diff changeset
4524 <p>Si jam vas impleas aliqu&ograve; u$que aqu&acirc;, v. g. u$que ad KL, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4525 <MARG><I>Diabetis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4526 $piritalis
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parents:
diff changeset
4527 proprieta-
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parents:
diff changeset
4528 tes.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4529 $inuabit $e$e illa per foramen I, &amp; a$cendet u$que ad H, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4530 tra tubum IGH. Si igitur per o$culum F attrahas a&euml;rem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4531 qui e$t in tubo FE; $equetur $imul a&euml;r, qui e$t in tubi $uperpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4532 $iti parte GH; &amp; po$t a&euml;rem $equetur aqua, qu&aelig; e$t in eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4533 tubi parte IH; nec ce$$abit fluxus ex F, donec tota aqua va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4534 $is effluxerit, alioquin daretur vacuum intra tubos, ut patet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4535 Qu&ograve;d $i totum vas impleas aqu&acirc;, a$cendet illa per foramen I,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4536 intra tubum IHG, u$que dum $upergrediatur o$culum E; quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4537 $upergre$$o, in$inuabit $e$e, naturali pondere, aqua per dictum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4538 o$culum, &amp; effluet per F, nec ce$$abit, donec tota effluxerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4539 aqua. Hac arte docebimus infr&agrave; Cla$$e 1. cap. 1. Machina IV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4540 con$truere vas, quod effundat aquam per fundum, dum ple-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4541 num e$t; dum ver&ograve; plenum non e$t, nihil effundat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4542 <C>Annotatio I.</C>
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diff changeset
4543 <p><I>FLuxus aqu&aelig; etiam h&icirc;c in&aelig;qualis est, cum continuo celeritatis de-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4544 <pb n=96>
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parents:
diff changeset
4545 <FIG>
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parents:
diff changeset
4546 <MARG><I>Aqu&aelig; flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4547 xus per dia-
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parents:
diff changeset
4548 betem $piri-
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parents:
diff changeset
4549 talem in&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4550 qualis e$t.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4551 <I>cremento: &amp; qu&ograve; tubus</I> EF <I>lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4552 gi&ugrave;s exce$$erit extra fundum, e&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4553 celeri&ugrave;s, adeoque &amp; copio$i&ugrave;s hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4554 midum effluet. Harum autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4555 proprietatum ratio e$t eadem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4556 illa qu&aelig; $upr&agrave; Propo$it.</I> 7. <I>pro $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4557 phone va$i impo$ito e$t allata; tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4558 bus enim</I> IG <I>&aelig;quivalet cruri in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4559 terno, &amp;</I> FE, <I>cruri externo.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4560 <C>Annotatio II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4561 <p><I>IDem effectus habebitur, $i in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4562 <MARG>Diabetes
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parents:
diff changeset
4563 $piritalis a-
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parents:
diff changeset
4564 lia ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4565 con$tructus.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4566 tra vas fi<*> $iphon inver$us</I>
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parents:
diff changeset
4567 ABC, <I>cujus dor$um</I> B <I>$it paul&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4568 infra $umma labra va$is. Si enim aqua infundatur va$i, a$cendet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4569 ea per crus</I> AB; <I>&amp; c&ugrave;m $upergre$$a fuerit dor$um</I> B, <I>effluet per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4570 crus</I> BC; <I>nec ce$$abit, donec dota effluxerit. Vide qu&aelig; dicemus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4571 infr&agrave; Parte</I> 2. <I>loc. cit. Machina IV. Si ver&ograve; non totum vas implea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4572 tur aqu&acirc;, &amp; a&euml;r $ugatur ex o$culo</I> C; <I>$equetur $imiliter aqua va$is,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4573 nec ce$$abit fluxus, donec tota fuerit elap$a, quoniam perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4574 aqu&aelig; cadentis ($icut &amp; in Diabete) majus e$t qu&agrave;m perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4575 aqu&aelig; a$cendentis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4576 <C>Propo$itio X.</C>
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parents:
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4577 <C>Siphonis inver$i fluxum &aelig;qualem
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4578 reddere.</C>
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parents:
diff changeset
4579 <p>SUpr&agrave; Propo$it. VI. Propriet. I. o$tendimus, aquam per exter-
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parents:
diff changeset
4580 num $iphonis inver$i crus fluere in&aelig;qualiter, cum perpetuo
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parents:
diff changeset
4581 nimirum celeritatis decremento. Oporteat igitur efficere ut
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diff changeset
4582 fluxus $emper &aelig;qualis $it. Docet id Hero Alexandrinus cap. 3.
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diff changeset
4583 de $piritalibus in hunc $en$um.
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4584 <pb n=97>
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4585 <FIG>
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diff changeset
4586 <p>Sit vas ABCD, aqua
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diff changeset
4587 <MARG><I>Aqu&aelig; flu-
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diff changeset
4588 xum per
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diff changeset
4589 crus exter-
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diff changeset
4590 num $ipho-
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diff changeset
4591 nis &aelig;qualem
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diff changeset
4592 reddere.</I></MARG>
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diff changeset
4593 plenum v$que ad EF, gra-
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diff changeset
4594 tia exempli (pote$t enim
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diff changeset
4595 pl&ugrave;s &amp; min&ugrave;s e$$e replet&utilde;)
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4596 habens $uas an$ulas LL per-
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diff changeset
4597 foratas. Fiat lebetarium
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diff changeset
4598 G, $ive apertum, $ive clau-
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diff changeset
4599 $um, quod po$$it innatare
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diff changeset
4600 $uperficiei aqu&aelig; EF; <*> per
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diff changeset
4601 eius operculum ac fundum
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4602 trajice $iphonis HIK crus
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4603 internum ac brevius HI, &amp;
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4604 $tanno, aliav&egrave; materia ad
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4605 foramina ben&egrave; coarcta,
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4606 n&egrave; aqua $ubintrare in le-
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4607 betarium po$$it. Alterum
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4608 crus externum ac longius
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4609 IK trajice per foramina
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diff changeset
4610 an$ularum LL, $ic ut fa-
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diff changeset
4611 cil&egrave; per eas moveri a$cen-
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diff changeset
4612 dendo ac de$cend&etilde;do po$-
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4613 $it. His factis, $i per o$cu-
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4614 lum K attrahas a&euml;rem, qui
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diff changeset
4615 e$t in $iphone, $equetur, ob vacui fugam, aqua va$is, e&acirc;que $ub-
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diff changeset
4616 $idente $ub$idebit $imul &amp; lebetarium, &amp; $iphon infixus lebeta-
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diff changeset
4617 rio, fluetque aqua per K, donec o$culum H tangat fundum
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diff changeset
4618 CD. Erit autem ille fluxus $emper &aelig;qualis, e&ograve; qu&ograve;d exce$$us
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4619 perpendiculi cruris externi &amp; longioris $upra perpendicu-
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diff changeset
4620 lum cruris interni &amp; brevioris, $it $emper &aelig;qualis, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4621 e$t, idem, nempe in $chemate po$ito exce$$us KM u$que
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diff changeset
4622 ad $upremam aqu&aelig; va$is $uperficiem EF, propterea qu&ograve;d efflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4623 ente aqua ex K, &amp; de$cendente $uperficie EF ver$us fund&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4624 va$is, de$cendat &amp; lebes cum $iphone $ibicoarctato, ut dixi; quo
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4625 fit, ut crus IK eandem $emper aqu&aelig; quantitatem ex va$e per
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diff changeset
4626 crus HI attrahat, nempe illam qu&aelig; e$t in GI, &agrave; G $uprema aqu&aelig;
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4627 <pb n=98>
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4628 <FIG>
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parents:
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4629 $uperficie, v$que ad 1; ac
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4630 proinde e&acirc;dem $emper fa-
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4631 cilitate difficultatev&egrave; efflu-
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4632 it aqua ex K<*> ergo &amp; e&acirc;-
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4633 dem celeritate.
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4634 <C>Annotatio I.</C>
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4635 <p><I>Pote$t loco lebetarij</I> G
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4636 <I>accipi $uberis, alteriusv&egrave; levi$-
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parents:
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4637 $imi ligni fru$tum, &amp; per id
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4638 trajici $iphonis crus intern&utilde;.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4639 <C>Annotatio II.</C>
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parents:
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4640 <MARG><I>Aquaeffluit
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4641 ex crure ex-
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4642 terno $ipho-
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4643 nis e&ograve; cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4644 rius, quo
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4645 maior e$t i-
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4646 p$i' exce$$us
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4647 $upra inter-
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parents:
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4648 num crus.</I></MARG>
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parents:
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4649 <p><I>Quant&ograve; maior erit ex-
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parents:
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4650 ce$$us</I> KM <I>cruris externi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4651 tant&ograve; celeri&ugrave;s effluet aqua ex</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4652 K, <I>$emper tamen &aelig;qualiter.
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parents:
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4653 Ratio e$t, quia tunc magis pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4654 mitur aqua apud o$culum</I> K,
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4655 <I>&amp; aqua cruris externi maio-
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parents:
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4656 rem exce$$um habet $upra aqu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4657 cruris interni, ac proinde mi-
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parents:
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4658 norem difficultatem ad illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4659 trahendam. Neque hoc e$t
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4660 contra id, quod diximus Pro-
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parents:
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4661 po$it. VII. pr&aelig;cedente: aliud enim e$t, cau$am dare, cur fluat aqua ex
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parents:
diff changeset
4662 crure longiore, aliud cur celeri&ugrave;s fluat.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4663 <C>Annotatio III.</C>
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parents:
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4664 <p><I>Quomodo fieri po$$it fluxus aqu&aelig; ex $iphone partim &aelig;qualis, par-
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4665 tim in&aelig;qualis, hoc e$t, vno tempore &aelig;qualis, altero in&aelig;qualis, pront no-
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parents:
diff changeset
4666 bis placuerit, docet Hero $upra citatus cap.</I> 4.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4667 <C>Propo$itio XI.</C>
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parents:
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4668 <C>Siphone inver$o aquam ex vno montis latere in
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4669 alterum, per verticem deducere.</C>
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parents:
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4670 <p>SItmons A, in cuius latere vno $it fons, alia v&egrave; aqua, $eu flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4671 ens, $eu $tagnans B, aut C, in pede nimirum, aut in latere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4672 <pb n=99>
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parents:
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4673 <FIG>
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parents:
diff changeset
4674 montis; $itque in latere altero locus E paul&ograve; humilior, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4675 <MARG><I>Aquam per
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parents:
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4676 montis ver-
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parents:
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4677 ticem &agrave; ba-
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parents:
diff changeset
4678 $e ad bas&egrave;
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4679 deducere $<*>
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diff changeset
4680 phone.</I></MARG>
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diff changeset
4681 aqua B, aut C; &amp; $it in hunc locum E deducenda pr&aelig;dicta
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diff changeset
4682 aqua per montis verticem. Fiat $iphon inver$us in&aelig;qualium
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4683 crurium BCDE, ex plumbo, aut metallo, cuius orificium B,
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diff changeset
4684 aut C cruris brevioris $it immer$um fonti B, aut C, alterum
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diff changeset
4685 ver&ograve; orificium E cruris longioris de$inat intra ci$ternam, ali-
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diff changeset
4686 udv&egrave; receptorium E in loco de$tinato. Hoc facto, obture-
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diff changeset
4687 tur vtrumque $iphonis os, &amp; per foramen D in vertice montis
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diff changeset
4688 factum in $iphone, repleatur totus $iphon aqua, &amp; foramen di-
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diff changeset
4689 ligenti$$im&egrave; obturetur, n&egrave; a&euml;rem recipere po$$it. Si iam aperia-
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diff changeset
4690 tur eodem tempore $imul vtrumque $iphonis orificium, effluet
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diff changeset
4691 aqua per E cruris longioris intra receptaculum, $ecumq; tra-
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diff changeset
4692 het, n&egrave; vacuum intra $iphon&etilde; fiat, aquam fontis B, aut C; nec
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diff changeset
4693 ce$$abit fluxus, qu&agrave;m diu orificium B, aut C, fuerit aqu&aelig; im-
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diff changeset
4694 mer$um. Ratio patet ex dictis Propo$itione 6. &amp; alijs pa$$im ex
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diff changeset
4695 pr&aelig;cedentibus.
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diff changeset
4696 <pb n=100>
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diff changeset
4697 <FIG>
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diff changeset
4698 <C>Annotatio I.</C>
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diff changeset
4699 <p><I>OMnin&ograve; nece$$arium e$t, ut locus</I> E <I>$it humilior, $altem aliquan-
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diff changeset
4700 tul&ugrave;m, qu&agrave;m locus fontis aut aqu&aelig;</I> B, <I>$eu <*>, ut $iphonis crus</I> DE
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diff changeset
4701 <I>longius fieri po$$it qu&agrave;m</I> BD, <I>aut</I> DC. <I>Quod $i fieri non po$$it, $pes
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diff changeset
4702 nulla e$t ad effectum de$ideratum con$equendum. Quare diligenter
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diff changeset
4703 pri&ugrave;s libellandum e$t $patium inter</I> B <I>&amp;</I> E, <I>aut</I> C <I>&amp;</I> E. <I>Qu&<*>grave;
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diff changeset
4704 autem humilior fuerit locus</I> E <I>qu&agrave;m aqua</I> B <I>aut</I> C, <I>e&ograve;mcliorem res
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diff changeset
4705 $ucce$$um habebit, &amp; e&ograve; veloci&ugrave;s <*>qua effluet ex orificio</I> E, <I>vti ex di-
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diff changeset
4706 ctis patet.</I>
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diff changeset
4707 <C>Annotatio II.</C>
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diff changeset
4708 <p><I>PO$$e etiam alia ratione trahi aqu&atilde; exfonte</I> <*> <I>aut</I> C <I>per $iphonem,
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diff changeset
4709 v$que ad locum <*>, absque eo qu&ograve;d in vertice $<*>t foramen</I> D, <I>&amp; $i-
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diff changeset
4710 phon repleatur aqu<*>nulli p<*>; $i nimirum ex orificio</I> E <I>tubi</I>
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diff changeset
4711 <pb n=101>
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diff changeset
4712 <I>extrahatur a&euml;r follibus, aut &AElig;olopila, quam de$cribimus infr&agrave; parte</I> 2.
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diff changeset
4713 <I>cla$$e</I> 1. <I>cap.</I> 3. <I>Mach. VI. Quam tamen ration&etilde; nullo modo $ub$i$tere po$$e,
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diff changeset
4714 hinc o$tendo, qu&ograve;d fieri non po$$it, ut follis per canalem vacuum tantum
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diff changeset
4715 aquarum pondus, quantum canalem ex attactu replere debet, attrahers
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diff changeset
4716 po$$it: montis enim in$tar foll&etilde; e$$e oporteret, qui id pr&aelig;$taret, c&ugrave;m omnis
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diff changeset
4717 attractio proportionem $uam babeat ad pondus attrahendum; qu&aelig; $i im-
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diff changeset
4718 par$it, rumpentur folles poti&ugrave;s qu&agrave;m pond</I><SUP>9</SUP> <I>attrahatur. Vt vel hinc app&aelig;-
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diff changeset
4719 reat, qu&agrave;m multa in $peculatione vera appare&atilde;t, qu&aelig; tamen nullam effe-
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diff changeset
4720 ctum in praxi exhibeant. Marinus Mer$ennus in Pb&aelig;nomenis Hydrau-
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diff changeset
4721 licis Propo$it.</I> 34. <I>addit alium modum, $i nimirum in loco de$tinato fiat
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diff changeset
4722 pi$cin&aelig;</I> E <I>vndique clau$a, eaque repleatur aqu&acirc;, &amp; orificium</I> E <I>$iphonis
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diff changeset
4723 adferruminetur operculo perforato pi$cin&aelig;, ita ut aquam non attingat:
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diff changeset
4724 $i enim re$eratur epi$tomium pi$cin&aelig;, effluet aqua, inquit, &amp; in aqu&aelig; lo-
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parents:
diff changeset
4725 cum $uccedet a&euml;r $iphonis, in a&euml;ris locum aqua</I> B, <I>aut</I> C, <I>n&egrave; vacuum
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diff changeset
4726 admittatur in $iphone: dummod&ograve;, inquit, pi$cina vacua totum $iphonis
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diff changeset
4727 a&euml;rem recipere po$$it. Sed mirum, quantum hallucinatur Mer$ennus,
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diff changeset
4728 c&ugrave;m, ut diximus $upr&agrave; Protheoria I. &amp; videbimus infr&agrave; $uo loco, &amp;
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diff changeset
4729 ip$emet Mer$ennus in$inuat, aqua fontis</I> B, <I>aut</I> C <I>trahi, atque
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diff changeset
4730 a$cendere per $iphonis crus</I> BD, <I>aut</I> CD, <I>nullatenus po$$it, ni$i infra
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diff changeset
4731 pi$cinam</I> E <I>de$cendat tubus, per quem aqua fluat, paul&ograve; maioris per-
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diff changeset
4732 pendiculi qu&agrave;m $it perpendiculum</I> BD, <I>aut</I> CD. <I>quod in hac &amp; $imi-
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diff changeset
4733 libus Machinis e$t $umm&egrave; nece$$arium, vt diximus, c&ugrave;m de vi Attracti-
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diff changeset
4734 va egimus, &amp; in $ecunda Parte $&aelig;pius repetemus, pr&aelig;$ertim cla$$e</I> 1. <I>cap.</I> 1.
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diff changeset
4735 <I>Machina</I> 2. <I>Pote$t tamen longitudo tubi, qui infra pi$cinam</I> E <I>de-
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diff changeset
4736 $cendere deberet, compen$ari multis brevioribus tubis, ut diximus eo-
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diff changeset
4737 dem loco de vi Attractiva, &amp; loco citato Machina</I> 7. <I>iterum dicemus.
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diff changeset
4738 Accedit &amp; illud, qu&ograve;d aqua in ci$terna non $ufficiat ad effectum inten-
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4739 tum pr&aelig;$tandum, ni$i ci$terna tantum aqu&aelig; contineat, quant&aelig; ip$e ca-
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diff changeset
4740 nalis capax e$t; at quis tantam $abricari volet ci$ternam?</I>
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4741 <C>Annotatio III.</C>
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4742 <p><I>MVlta alia circa fluxum aqu&aelig; ex $iphone dici po$$ent, pr&aelig;$ertim
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4743 qu&ograve;d de$cen$us aqu&aelig; fluentis per crus imitetur leges gravium de-
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4744 $cendentium motu naturali; $ed h&aelig;c, &amp; $imilia alia, intelligi facil&egrave;
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diff changeset
4745 po$$unt ex dicendis Capite $equenti, de fluxu aqu&aelig; per tubos Propo$it.</I> 9.
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4746 <pb n=102>
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4747 <C>Propo$itio XII.</C>
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4748 <C>Siphone inver$o aquam ex montis radice ad
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4749 ejus verticem elevare.</C>
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4750 <p>MIrabilis e$t $equens modus, &amp; antiquis minim&egrave; cognit<*>
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4751 <MARG><I>Vide pr&aelig;
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4752 cedent&etilde;
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4753 figuram
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4754 pag</I> 99.
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4755 <I>vel</I> 100.</MARG>
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4756 im&ograve; ab omnibus pro impo$$ibili habitus, inquit Port<*>
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4757 omnes enim put&acirc;runt, $i in $iphonis inver$i collo $eu curva<*>
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4758 ra $uprema foramen fieret, &amp; vel minimum a&euml;ris ingrede<*>
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4759 tur, fore ut $iphonis aqua di$continuaretur, &amp; aqua divi$a p<*>
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4760 utrumque $iphonis crus hinc atque inde delaberetur, totu$q<*>
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4761 $iphon evacuaretur. Contrarium mon$trat $equens mod<*>
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4762 quem pr&aelig;$cribit Joannes Bapti$ta Porta lib. 2. Spirital. cap. <*>
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diff changeset
4763 &amp; 14. in hunc $en$um.
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diff changeset
4764 <MARG><I>Aquam &egrave;
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diff changeset
4765 montis ra-
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diff changeset
4766 dice ad ver-
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diff changeset
4767 ticem ele-
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diff changeset
4768 vare.</I></MARG>
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diff changeset
4769 <p>Sit ut antea mons A, in eju$que radice fons B, cuj<*>
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parents:
diff changeset
4770 aqua $it elevanda u$que ad verticem D. Fiat $iphon inver<*>
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diff changeset
4771 in&aelig;qualium, ut antea, crurium BDE, cujus orificium B <*>
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diff changeset
4772 immer$um fonti, orificium ver&ograve; E vel liberum omnin&ograve; <*>
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diff changeset
4773 vel de$inat in pi$cinam $ubjectam. Habebit autem res tan<*>
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diff changeset
4774 meliorem $ucce$ium, quant&ograve; longius fuerit crus DE, qu&agrave;<*>
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diff changeset
4775 alterum DB. Fiat deinde infra collum $iphonis, ubi D, <*>
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diff changeset
4776 ceptaculum aquarum H, undique clau$um qu&agrave;m diligent <*>
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diff changeset
4777 $im&egrave;, $uoque epi$tomio I in$tructum, ex quo depromi aq<*>
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diff changeset
4778 po$$it. In hoc receptaculum derivetur ex collo $eu curvatu<*>
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diff changeset
4779 $iphonis tubulus G, habens cla viculam volubilem, $itque t<*>
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diff changeset
4780 bulus arcti$$im&egrave; adferruminatus &amp; $iphonis collo, &amp; recept<*>
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diff changeset
4781 culi operculo pri&ugrave;s perforatis. His factis, repleatur per infu<*>
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diff changeset
4782 dibulum D $iphon BDE, ob$tructis pri&ugrave;s orificijs B &amp; <*>
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diff changeset
4783 eoque repleto obturetur foramen D, &amp; aperiatur $imul utru<*>
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diff changeset
4784 que orificium B &amp; E; dumque per tubum fluit aqua, &amp; ex<*>
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diff changeset
4785 erumpit; aperiatur modici$$im&egrave;, &amp; momentane&acirc; qua$i mo<*>
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diff changeset
4786 la clavicula tubuli G; $tatimque per dictum tubulum de$ce<*>
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diff changeset
4787 det modica aqua intra receptaculum H, a$cendetque mo<*>
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diff changeset
4788 cus a&euml;r intra $iphonem, ibique aqu&aelig; mi$tus delabetur un&agrave; cu<*>
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diff changeset
4789 ip$a per crus DE, &amp; per os E erumpet. Hoc $i $&aelig;pius fec<*>
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4790 <pb n=103>
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diff changeset
4791 ris, tandem replebitur receptaculum H, ut aqua per ejus epi
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parents:
diff changeset
4792 $tomium I depromi po$$it magna copia. H&aelig;c Porta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4793 <C>Annotatio.</C>
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diff changeset
4794 <p><I>VVlt igitur Porta, tubulum</I> G <I>aperiendum e$$e modici$$im&egrave;, ut ni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4795 mirum ingrediatur modicus a&euml;r intra $iphonem, &amp; ita mi$cea-
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diff changeset
4796 tur aqu&aelig;, ut ea non di$continuetur. Si enim ingrederetur a&euml;r copio-
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diff changeset
4797 $us, po$$et ita interrumpi aqua $iphonis a&euml;re interpo$ito, ut perpendi-
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diff changeset
4798 culum</I> BD <I>e$$et majus, qu&agrave;m perpendiculum reliqu&aelig; aqu&aelig; intra crus</I>
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diff changeset
4799 DE; <I>quod ubi contingeret, $tatim di$continuaretur aqu&aelig; fluxus, &amp;
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diff changeset
4800 aqua utriu$que cruris de$cenderet, unaqu&aelig;que ad $uum orificium, &amp;
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diff changeset
4801 efflueret. Hoc igitur incommodum ut evitetur, intromittendus e$t,
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diff changeset
4802 inquit Porta, repetitis vicibus modici$$imus a&euml;r, ut $ine interruptio-
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4803 nis periculo po$$it mi$ceri aqu&aelig;. Nam quantumvis modicus intro-
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diff changeset
4804 mittatur a&euml;r, $i tamen is aquam cruris</I> DE <I>di$continuat, infallibili-
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diff changeset
4805 ter interrumpetur aqu&aelig; fluxus, ni$i pars</I> FE <I>$it paul&ograve; longior qu&agrave;m
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diff changeset
4806 crus</I> BD. <I>Ponamus cnim a&euml;rem interceptum e$$e</I> KF. <I>Hic a&euml;r dum</I>
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4807 <MARG><I>A&euml;r in tulo
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4808 di$continu-
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4809 ans aquam,
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4810 interrum-
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parents:
diff changeset
4811 pit flux&utilde; &aelig;-
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4812 qu&aelig;.</I></MARG>
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4813 <I>erit in</I> L, <I>aut in</I> M, <I>non interrumpet quidem aqu&aelig; cur$um, quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4814 perpendiculum</I> LE, <I>aut</I> EM, <I>adhuc longius e$t, ut $uppono, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4815 perpendiculum</I> DB. <I>At quamprim&ugrave;m a&euml;r</I> KF <I>fuerit infra</I> M,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4816 <I>jam interrumpetur aqu&aelig; fluxus, e&ograve; qu&ograve;d perpendiculum aqu&aelig; ab a&euml;re
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diff changeset
4817 u$que ad</I> E <I>brevius e$t, qu&agrave;m perpendiculum &agrave; vertice</I> D <I>u$que ad</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4818 B. <I>Ne igitur aqu&aelig; interruptio, $i fort&egrave; contingeret, ejus influxum
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parents:
diff changeset
4819 per $iphonem impediat, crus</I> DE <I>adeo prolongandum e$$et, ut facta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4820 interruptione etiam notabili aqu&aelig; $iphonis per interpo$itionem a&euml;ris,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4821 perpendiculum tamen aqu&aelig; ab a&euml;re u$que ad</I> E <I>maneret $em-
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diff changeset
4822 per longius perpendiculo cruris</I> DB. <I>Meliorem igitur $ucce$$um res
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4823 habebit, $i fons $it in latere montis, v. g. in</I> C, <I>&amp; non in radice</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4824 <MARG><I>Port&aelig; error
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parents:
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4825 in elevan-
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parents:
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4826 da aqua ad
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parents:
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4827 turris al-
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parents:
diff changeset
4828 titudinem.</I></MARG>
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4829 <I>apud</I> B. <I>Praxim hanc ut dixi, docet Ioannes Bapti$ta Porta lib.</I> 2.
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diff changeset
4830 <I>Spiritalium cap.</I> 13. <I>&amp;</I> 14. <I>pendetque ex praxi, quam ex codem re-
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4831 tulimus $upr&agrave; Protheoria I. &sect;. X. Refert eandem praxim Mer$ennus
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4832 in hydraulicis Ph&aelig;nomenis Propo$it.</I> 34. <I>ubi tamen nonnulla de $uo
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4833 adjungit non u$quequaque veritati congrua. Veruntamen fal$um
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4834 omnino e$t, quod habetur apud Portam loco cit. cap.</I> 15. <I>editionis Ita-
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parents:
diff changeset
4835 lic&aelig;, de modo elevandi aquam ex flumine pr&aelig;terfluente per $iphonem</I>
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4836 <pb n=104>
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parents:
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4837 <I>u$que ad turris vicin&aelig; altitudinem; quem quidem modum $u$picer
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parents:
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4838 non e$$e ip$ius Port&aelig;, $ed e$$e interpretis $eu traductoris ex Latino in
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4839 Italicum idioma Ioannis E$crivani Hi$pani, qui in Dedicatoria fatetur
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diff changeset
4840 $e adjunxi$$e nonnulla, qu&aelig; oretenus ab ip$o Porta didicerat, ut $u-
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parents:
diff changeset
4841 pra in Pr&aelig;loquio dicebam.</I>
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4842 <C>Propo$itio XIII.</C>
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4843 <C>Cau$am a$$ignare, cur in $iphone inver$o interrupto
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4844 perpendiculum aqu&aelig; de$cendentis debeat $upera-
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4845 re perpendiculum aqu&aelig; a$cendentis.</C>
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4846 <MARG><I>Siphon in-
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parents:
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4847 terruptus.
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parents:
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4848 &amp; cau$a ef-
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diff changeset
4849 fectus ip$ius</I></MARG>
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4850 <CAP><I>I. Figura.</I></CAP>
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4851 <FIG>
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4852 <p>INfr&agrave; Parte 2. Cla$-
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4853 $e 1. cap. 1. Ma-
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4854 china 2. damus Ma-
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4855 chinam h&icirc;c po$it&atilde;,
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4856 eamque appellam<SUP>9</SUP>
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4857 <I>Siphonem inver$um
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4858 interruptum.</I> Ean-
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4859 dem Machinam ex-
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4860 hibuimus etiam $u-
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4861 pr&agrave; Protheoria 1.
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4862 &sect;. V. ubi diximus, tu-
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4863 bum EF, per quem
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4864 aqua de$cendit, de-
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4865 bere e$$e paul&ograve; lon-
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4866 giorem tubo BK,
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4867 per quem aqua a-
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4868 $cendit. Quod ta-
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4869 met$i veri$$imum
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4870 $it, &amp; multis experi-
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4871 mentis &agrave; Porta pri-
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4872 m&ugrave;m, deinde &agrave; Mer
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4873 $e&ntilde;o, Kirchero, at-
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4874 que &agrave; me etiam c&otilde;-
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4875 probatum; $emper
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4876 tamen vi$um mihi
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4877 fuit mirabile, pr&aelig;-
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4878 <pb n=105>
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4879 $ertim, $i de primo aqu&aelig; a$cen$u per tubum BK $it $ermo: nec
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4880 ullum vidi, aut audivi unquam, qui hujus rei cau$am ad$ignet,
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4881 cui acquie$cere po$$im. Aliam etiam Machinam h&icirc;c po-
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4882 <CAP><I>II. Fig.</I></CAP>
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4883 <FIG>
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4884 $itam, &amp; priori non mult&ugrave;m
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4885 ab$imilem, adduxi e&acirc;dem Pro-
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diff changeset
4886 theoria I. &sect;. VI. quam etiam habet
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4887 Salomon &agrave; Caus in $uis hydraulicis
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4888 lib. 1. in qua ut aqua a$cendat per
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4889 crus AB, debet tubus rectus DE
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4890 e$$e paul&ograve; longior qu&agrave;m dictum
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4891 crus AB, ut quilibet facil&egrave; experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4892 <MARG><I>Dubitatio.
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4893 &amp; rationes
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4894 dubitandi
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4895 circa $ipho-
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4896 nem inter-
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diff changeset
4897 ruptum.</I></MARG>
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4898 ri pote$t. Qu&aelig;ritur igitur, qu&aelig;-
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4899 nam $it hujus rei cau$a in utraque
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4900 Machina, &amp; in alijs hi$ce $imili-
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4901 bus? Neque enim h&icirc;c valetratio,
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4902 quam ad$ignavimus $upr&agrave; Propo-
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4903 $it. VII. hujus capitis: nam h&icirc;c non
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4904 agimus de $iphone continuato, $eu
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4905 n&otilde;interrupto, in quo partes omnes
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4906 aqu&ecedil; $unt continuat&aelig;, tum inter $e,
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4907 tum etiam cum aqua va$is, ex quo
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4908 extrahitur aqua per crus extern&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4909 ac longius de$cendens; $ed agimus
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4910 de $iphone interrupto, in quo $ci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4911 licet a&euml;r intercedit inter aquam &amp;
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4912 aquam. Adde quod h&icirc;c, licet tu-
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4913 bi EF, &amp; DE breviores e$$ent, qu&agrave;m tubus BK &amp; crus AB;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4914 tamen extrema $uperficies aqu&aelig; illorum tuborum $emper e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4915 vicinior centro Mundi, ac proinde per ip$os effluere deberet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4916 aqua, $ecumque trahere &amp; a&euml;rem &amp; aquam oppo$itam va$orum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4917 <p>Dices, aqua qu&aelig; trahit alteram, gravior debet e$$e aqu&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4918 <MARG><I>Solutiones
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4919 in$ufficien-
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parents:
diff changeset
4920 tes propo$it&aelig;
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4921 dubitatio-
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diff changeset
4922 nis.</I></MARG>
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4923 qu&aelig; trahitur, ac proinde longiores debent e$$e pr&aelig;dicti tubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4924 EF, &amp; DE, ut pl&ugrave;s aqu&aelig; contineant. Sed contra e$t mani-
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diff changeset
4925 fe$ta experientia allata Propo$it. III. hujus capitis Propriet. I. &amp;
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diff changeset
4926 alia etiam allata Protheoria I. &sect;. VIII.
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diff changeset
4927 <pb n=106>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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4928 <p>Dices iterum, in hydraulicis pugnari ac vinci non aqua-
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parents:
diff changeset
4929 rum copi&acirc;, $ed aquarum perpendiculis, ut dictum Propo$it. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4930 hujus capitis in Axiomate 2. &amp; alibi $&aelig;pe; ideoque longiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4931 debent e$$e pr&aelig;dicti tubi EF, &amp; DE, ut perpendicula aqua-
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parents:
diff changeset
4932 rum de$cendentium $int longiora, qu&agrave;m perpendicula aqua-
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parents:
diff changeset
4933 rum a$cendentium. Re$oondeo, veri$$imum e$$e citatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4934 Axioma; &amp; cau$am hujus rei, loquendo de $iphone inver$o
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diff changeset
4935 non interrupto, ad$ignavimus Propo$it 7. qu&aelig; tamen cau$a in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4936 ca$u pr&aelig;$enti de $iphone interrupto non militat; ideoque ulte-
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diff changeset
4937 ri&ugrave;s qu&aelig;ritur, qu&aelig;nam $it hujus rei cau$a in $iphone interru-
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4938 pto, atque adeo in no$tro ca$u. Difficultatem agnovit Mer-
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diff changeset
4939 $ennus in Ph&aelig;nom. Hydraul. Propo$it 38. $ed non $olvit.
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4940 <MARG><I>Solutio Au-
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diff changeset
4941 ctoris ratio
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4942 num dubi-
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4943 tandi circ&aelig;
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4944 $iphonem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4945 terruptum.</I></MARG>
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diff changeset
4946 <p>Dico igitur, cau$am e$$e, qu&ograve;d aqu&aelig; pars unaqu&aelig;que
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diff changeset
4947 premitur aqu&acirc; $upra ip$am exi$tente ad perpendiculum, $i aqua
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diff changeset
4948 illa $it de$cendens in aliquo, (hoc e$t, $i nullum impedimen-
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diff changeset
4949 tum extrin$ecum habeat, qu&ograve; min&ugrave;s de$cendere po$$it) pro-
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diff changeset
4950 ut a$$eruimus $upr&agrave; cap. 1. hujus Protheori&aelig; 4. Propriet. 4. ex
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diff changeset
4951 Archimede. Illa igitur aqua, cujus perpendiculum e$t majus,
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diff changeset
4952 $eu longius, magis premitur, majorem&qacute;ue habet vim ad de-
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diff changeset
4953 $cendendum, $i patet aditus ad de$cendendum. Quoniam
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diff changeset
4954 igitur aperto epi$tomio E tubi EF, in I. Fig. &amp; aperto ore
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diff changeset
4955 tubi recti DE, in II. Fig. patet aditus aqu&aelig; ad defcendendum;
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diff changeset
4956 de$cendet illa nece$$ari&ograve;, innato pondere, &amp; intra tubum,
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diff changeset
4957 propter partes continuatas, fundabit $uum perpendiculum; &amp;
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diff changeset
4958 n&egrave; vacuum detur, trahet $ecum a&euml;rem, &amp; coget aquam oppo-
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diff changeset
4959 fitorum va$orum a$cendere, $uum&qacute;ue $imiliter perpendiculum
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diff changeset
4960 fundare. Nunquam tamen a$cendere pote$t aqua ad majus
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diff changeset
4961 $patium in tubo BK, &amp; crure AB, qu&agrave;m de$cenderit per tu-
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parents:
diff changeset
4962 bum EF, &amp; DE; quia $i a$cenderet ad majus $patium, jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4963 perpendiculum aqu&aelig; a$cendentis majus e$$et, qu&agrave;m perpen-
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parents:
diff changeset
4964 diculum aqu&aelig; de$cendentis, ac proinde illa vinceret hanc, &amp;
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parents:
diff changeset
4965 retraheret. Itaque $i vas C haberet in fundo foramen angu-
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diff changeset
4966 itum $ine tubo adnexo, nihil aqu&aelig; efflueret, quia nullum fun-
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diff changeset
4967 dare po$$et perpendiculum; ideoque nihil a$cenderet per tu-
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parents:
diff changeset
4968 <pb n=107>
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parents:
diff changeset
4969 bum BK. Si idem vas C haberet foramen laxum, efflueret
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parents:
diff changeset
4970 quidem aqua, $ed $imul $ubintraret a&euml;r, $icque ce$$ante metu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4971 vacui, aut di$continuitatis corporum, nihil a$cenderet per tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4972 bum KB. Si tubus EF e$$et brevic<*>tubo BK, de$cenderet aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4973 u$que ad orificium F, &amp; ad &aelig;quale $patium a$cenderet per tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4974 bum BK; $ed facta hac &aelig;qualitate, $i$teretur utrimque aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4975 propter perpendiculorum &aelig;qualitatem. Si tubus EF e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4976 pr&aelig;cis&egrave; &aelig;qualis tubo BK; de$cenderet $imiliter aqua u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4977 ad o$culum F, &amp; ex parte altera a$cenderet u$que ad K, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4978 neutra ulteri&ugrave;s pergeret, propter cau$am jam dictam de per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4979 pendiculorum &aelig;qualitate. Si denique tubus EF, e$t vel pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4980 lulum longior tubo BK, de$cendit aqua u$que ad F, &amp; c&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4981 nullum inveniat impedimentum qu&ograve; min&ugrave;s egrediatur, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4982 detineatur ab altera parte &agrave; perpendiculo &aelig;quali; effluit inna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4983 to pondere ex F, &amp; ut vitetur vacuum, corporum&qacute;ue di$con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4984 tinuitas, $ecum rapit &amp; a&ecaron;rem va$is KA, &amp; aquam tubi BK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4985 va$i$que B.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4986 <p>Notandum tamen e$t, quod jam $&aelig;pius inculcavi, alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4987 tudinem perpendiculi aqu&aelig; tubi BK $umendam e$$e &agrave; $upre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4988 ma aqu&aelig; va$is B, $uperficie, u$que ad $upremam $uperficiem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4989 aqu&aelig; eju$dem tubi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4990 <p>Quod diximus de perpendiculis tuborum BK &amp; EF, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4991 telligi etiam debet de perpendiculis AB, &amp; DE alterius Machin&aelig;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4992 <C>Propo$itio XIV.</C>
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parents:
diff changeset
4993 <C>Cau$am ad$ignare cur in Fonte Heronis perpendicu-
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parents:
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4994 lum aqu&aelig; de$cendentis debeat e$$e longius perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4995 culo aqu&aelig; a$cendentis.</C>
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parents:
diff changeset
4996 <p>INfr&agrave; Parte 2. Cla$$e 1. cap. 2. Machina 1. Fontem damus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4997 <MARG><I>Fons Hero-
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parents:
diff changeset
4998 nis in va$is
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parents:
diff changeset
4999 immediatis</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5000 eumque Fontem Heronis in va$is immediatis appellamus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5001 <pb n=108>
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parents:
diff changeset
5002 <FIG>
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parents:
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5003 &amp; ita con$truitur. Vas fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5004 oblong&utilde; NOPQ, diaphra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5005 gmate $eu $epto IM di-
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parents:
diff changeset
5006 $criminatum in duo rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5007 ptacula $eu va$a, NIMQ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5008 $uperius, &amp; IMOP inferius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5009 Superius vas labrum habet
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parents:
diff changeset
5010 aliquantul&ugrave;m concavum
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parents:
diff changeset
5011 BD, in eoque foramen K.
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parents:
diff changeset
5012 In hac Machina di$ponun-
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parents:
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5013 tur tubi $eu canales ABC,
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casties
parents:
diff changeset
5014 DEL, &amp; GF, uti figura
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parents:
diff changeset
5015 mon$trat, &amp; fu$ius dicitur
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parents:
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5016 loco citato; impletoque
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parents:
diff changeset
5017 receptaculo NIMQ aqu&acirc;,
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parents:
diff changeset
5018 aliove liquore per K fora-
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parents:
diff changeset
5019 men, &amp; diligenter clau$o
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parents:
diff changeset
5020 foramine K, infunditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5021 aqua labro BD, qu&aelig; per
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parents:
diff changeset
5022 canalem DEL de$cendens
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parents:
diff changeset
5023 in vas vacuum IOPM, premit ibidem a&euml;rem, atque expellit
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parents:
diff changeset
5024 per tubum FG in vas plenum NIMQ; a&euml;r ver&ograve; ibidem pre-
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parents:
diff changeset
5025 mens aquam, expellit ip$am per tubum CBA &amp;c. prout fu-
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parents:
diff changeset
5026 fi&ugrave;s dicitur loco citato. Similes alias Machinas damus ibidem
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parents:
diff changeset
5027 Machina 2. 3. &amp; 4. Advertimus autem in Notis ad dictam
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casties
parents:
diff changeset
5028 Machinam 1. tubum DEL, per quem aqua de$cendit, longio-
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parents:
diff changeset
5029 rem e$$e debere tubo CBA, per quem afcendit aqua. Pr&aelig;-
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parents:
diff changeset
5030 dicto Heronis fonti omnino $imilis e$t Lucerna, quam attuli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5031 mus $upr&agrave; Protheoria 2. &sect;. 5. in qua tamen errorem aliquem
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casties
parents:
diff changeset
5032 Heronis notavimus circa claviculam R, diximu$que pr&aelig;di-
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parents:
diff changeset
5033 ctam claviculam debere de$inere in tubulum paul&ograve; longiorem,
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casties
parents:
diff changeset
5034 qu&agrave;m e$t tubulus OX. Qu&aelig;rimus nunc hujus rei cau$am.
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casties
parents:
diff changeset
5035 <p>Dicam quod $entio. Vt autem meli&ugrave;s mentem meam in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5036 telligas, Lector, recole qu&aelig; diximus $upr&agrave; Propo$it. 2. hujus ca-
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casties
parents:
diff changeset
5037 <pb n=109>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5038 pitis de Proprietatibus $iphonis erecti; ubi a$$eruimus, aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5039 cruris longioris de$cendentem elevare, atque expellere aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5040 cruris brevioris, cogereque in altum exilire, $i o$culum $it an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5041 gu$tum. Cau$am ejus rei diximus e$$e exce$$um perpendi-
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casties
parents:
diff changeset
5042 culi aqu&aelig; de$cendentis atque pellentis, $upra perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5043 aqu&aelig; a$cendentis &amp; pul$&aelig;. His $uppo$itis, ita di$curro. Fons
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casties
parents:
diff changeset
5044 Heronis, &amp; Lucerna ad ip$ius $imilitudinem con$tructa, omne$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5045 <MARG><I>Perpendicu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5046 lum aqu&aelig;
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casties
parents:
diff changeset
5047 eadentis in
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casties
parents:
diff changeset
5048 fonte Hero-
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casties
parents:
diff changeset
5049 nis cur exce
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casties
parents:
diff changeset
5050 dere debeat
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casties
parents:
diff changeset
5051 perpendicu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5052 lum aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5053 a$cendentis</I></MARG>
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parents:
diff changeset
5054 que Machin&aelig; $imili artificio adornat&aelig;, nihil aliud $unt, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5055 $iphon erectus interruptus. Nam tubus DEL habet rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5056 cruris erecti, per quod aqua de$cendit; tubus ver&ograve; CBA ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5057 bet rationem alterius cruris erecti, per quod aqua a$cendit;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5058 Aqua de$cendens per DEL, cogit a$cendere aquam per CBA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5059 mediante a&euml;re aquam premente. Sicut igitur in $iphone erecto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5060 non interrupto, ut aqua de$cendens per unum crus, expellat
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parents:
diff changeset
5061 aquam a$cendentem per alterum, perpendiculum aqu&aelig; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5062 $cendentis majus debet e$$e perpendiculo a$cendentis, ideo-
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casties
parents:
diff changeset
5063 que crus, per quod aqua de$cendit, longius debet e$$e, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5064 crus per quod a$cendit, alioquin non effluet aqua a$cendens;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5065 ita in ca$u noftro tubus DEL debet e$$e longior tubo ABC, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5066 perpendiculum aqu&aelig; de$cendentis majus fit, qu&agrave;m perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5067 culum aqu&aelig; a$cendentis. Tant&ograve; autem, c&aelig;teris paribus, al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5068 ti&ugrave;s a$cendet aqua per tubum ABC, quant&ograve; is magis $upera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5069 <MARG><I>Perpendicu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5070 lo, n&otilde; aqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5071 rum copia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5072 pugnatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5073 ac vincitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5074 in hydrau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5075 licis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5076 bitur &agrave; tubo DEL. Itaq; h&icirc;c etiam, uti alibi ubiq; in hydraulicis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5077 non aquarum copi&acirc;, fed perpendiculo pugnatur ac vincitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5078 <p>H&aelig;c mea e$t opinio: cui meli&ugrave;s quid occurrerit, profe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5079 ratin medium; nullus enim adhuc rei huius cau$am attigit, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5080 $ciam. Non nego tamen, &amp; a&euml;ris prementis copiam ab aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5081 de$cendentis copia maiore vehementi&ugrave;s pre$$am ac pul$am, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5082 o$culi A, vel poti&ugrave;s totius tubuli CBA angu$tiam, mult&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5083 conferre ad aquam alti&ugrave;s ex ofculo A eiaculandam, tum ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5084 urgentis impetus incrementum, tum ob decrementum gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5085 tatis aqu&aelig; deor$um in tubo, po$t egre$$um &egrave; tubo, nitentis. Ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5086 go tamen, erupturam aquam &egrave; tubo CBA, $i longior is fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5087 tubo DEL; idque ob rationem a$$ignatam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5088 <pb n=110>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5089 <C>CAPVT III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5090 <C>De
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5091 Proprietatibus Aqu&aelig; fluentis per tubos.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5092 <C>PROOEMIVM.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5093 <MARG>Tubus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5094 quid $it.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5095 <p><I>TVbos h&icirc;c appello Columnas concavas, $ive cylindri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5096 c&aelig; ill&aelig; $int, $iv&ecedil; pri$matic&aelig;. Hos in Machinis Par-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5097 <MARG>Tubi fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5098 men, os,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5099 o$culum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5100 lumen, id&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5101 $unt.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5102 <I>te</I> 2. <I>pa$$im voco in differenter tubos, $iphones, ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5103 nales, fi$tulas, &amp; alijs etiam nominibus. Foramen per quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5104 effluit aqua tubo contenta, appellat Hero Alexandrinus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5105 $uis Pnevmaticis, os, o$culum, &amp; orificium; Marinus ver&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5106 Mer$ennus in hydraulicis $uis Ph&aelig;nomenis vocat lumen.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5107 <MARG>Tuborum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5108 vari&aelig; for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5109 m&aelig;.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5110 <I>Hoc foramen fieri pote$t vel in ba$e tubi, vel in latere. Fieri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5111 etiam po$$unt tubi conici ad in$tar conorum truncatorum, quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5112 rum os $eu lumen $it vel in vertice, vel in ba$i coni, prout ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5113 paret in figuris Propo$itionis prim&aelig; $equentis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5114 <MARG>Tub' $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5115 per plenus.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5116 <p><I>Tubi per quos fluit aqua, aut $unt $emper pleni, aut non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5117 $unt $emper pleni. Tubum $emper plenum vocamus, quem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5118 fons aut vas aliquod $uperimpo$itum ita implet per orificium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5119 $uperius, ut dum aqua effluit per inferius, $emper tamen plenus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5120 maneat v$que ad $uperius orificium; quod fit, dum tantum,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5121 <MARG>Tubus n&otilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5122 $emper ple
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5123 nus.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5124 <I>aut pl&ugrave;s influit, qu&agrave;m effluit. Tubum non $emper plenum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5125 appellamus, qui, dum effluit aqua per foramen, paulatim exin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5126 anitur, null&acirc; interim ali&acirc; influente aqu&acirc;.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5127 <p><I>Tubi quicunque, per quos aqua decurrit, aut $unt erecti</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5128 <MARG>Tubi verti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5129 <*>ales.</MARG>
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diff changeset
5130 <I>perpendiculariter, aut inclinati, aut pro$trati horizontaliter.
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diff changeset
5131 Priores vocabimus verticales; medios, inclinatos; ultimos
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diff changeset
5132 horizontales.</I>
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diff changeset
5133 <pb n=111>
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diff changeset
5134 <p><I>His ita expo$itis, nunc afferemus varia Ph&aelig;nomena,
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diff changeset
5135 id e$t, apparentias $eu ob$ervationes circa fluxum aqu&aelig; per tu-
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parents:
diff changeset
5136 bos verticales, cuiuscunque form&aelig; &amp; conditionis; ex quibus
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diff changeset
5137 deinde deducemus varia Problemata atque Theoremata; quo-
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diff changeset
5138 rum multa applicari etiam poterunt fluxui aqu&aelig; per $iphones,
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parents:
diff changeset
5139 de quibus cap. pr&aelig;cedente. Agimus autem hoc Capite $ol&ugrave;m
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parents:
diff changeset
5140 de fluxu aqu&aelig; per tubos ex foramine in ba$i facto; de fluxu enim
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diff changeset
5141 ex foramine facto in latere, loquemur capite $equenti.</I>
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diff changeset
5142 <C>PROPOSITIO I.</C>
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diff changeset
5143 <C>PH&AElig;NOMENON I.</C>
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parents:
diff changeset
5144 <C>Aqua decurrit per tubi verticalis foramen ba$is in$tar
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diff changeset
5145 Column&aelig; aque&aelig;, cuius ba$is &aelig;qualis foramini, altitudo perpen-
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parents:
diff changeset
5146 diculares &agrave; ba$i erect&aelig;; $ive tubi $int $emper
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diff changeset
5147 pleni, $ive non.</C>
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parents:
diff changeset
5148 <p>SInt tubi verticales, AB, cuiuscunque figur&aelig;, haben-
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parents:
diff changeset
5149 <MARG><I>Aqua per
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parents:
diff changeset
5150 foramen ba
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parents:
diff changeset
5151 $is tuborum
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parents:
diff changeset
5152 verticali&utilde;
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parents:
diff changeset
5153 fluit in$tar-
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parents:
diff changeset
5154 colu mn&aelig; a-
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parents:
diff changeset
5155 que&aelig;.</I></MARG>
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diff changeset
5156 tes foramen B in ba$i. Dico aquam decurrere per
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parents:
diff changeset
5157 foramen B in$tar column&aelig; aque&aelig; AB, cuius ba$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5158 e$t foramen B, altitudo ver&ograve; perpendiculares BA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5159 a ba$i erect&aelig;, $ive tubi $int $emper pleni, $ive non. Patet expe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5160 rientia, &amp; $equitur ex dictis Cap. 1. Propriet. IV. &amp; ex doctrina
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5161 Archimedis lib. 1. de In$identibus humido, Suppo$itione I.
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diff changeset
5162 <p>Ac prim&ograve; quidem, $i tubus e$t columnaris, &amp; tota ba$is e$t
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parents:
diff changeset
5163 aperta, prout e$t tubus prim&aelig;, ex appo$itis, Figur&aelig; ad $ini$tram;
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parents:
diff changeset
5164 manife$ta e$t experientia: videmus enim totam aquam $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5165 paulatim de$cendere, $i tubus non e$t $emper plenus. Idem au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5166 tem fit, $i tubus e$t $emper plenus; de$cendit enim $emper nova
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5167 &amp; nova columna aquea, &amp; effluit ex ba$i B.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5168 <p>Si autem tubus e$t quidem columnaris, $ed aqua non ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5169 fluit per totam ba$im apertam, $ed per foramen in ba$i factum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5170 <pb n=112>
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diff changeset
5171 <FIG>
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parents:
diff changeset
5172 prout apparet in $ecunda Figura; item $i e$t conoidalis in$tar co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5173 ni truncati inver$i, prout in tertia Figura apparet, idem contin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5174 git: Nam videmus, effluente aqu&acirc; per B, $ub$idere paulatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5175 aquam A, incumbent&etilde; ip$i B ad perpendicul&utilde;, fieri&qacute;; fo$$am in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5176 $uperiori $uperficie vbi A, reliquas ver&ograve; partes collaterales e A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5177 f A, confluere intra fo$$am; ad eum modum, quo in arenarijs
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parents:
diff changeset
5178 horologijs, dum &egrave; $uperiori phiala defluit arena per foramen
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parents:
diff changeset
5179 diaphragmatis in inferiorem phialam, efficitur fo$$a in $uperiori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5180 aren&aelig; $uperficie, in eamque incidunt circumia centes aren&aelig; par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5181 tes. Quod $ignum e$t, aquam de$cendere &amp; effluere per B in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5182 modum column&aelig; AB. Et hoc quidem contingit apert&egrave; in tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5183 bis non $emper plenis, ut experientia docet. Idem autem con-
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parents:
diff changeset
5184 tingere nece$$e e$t in tubis $emper plenis; ni$i qu&ograve;d in his de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5185 dat $emper nova ac nova columna aquea.
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parents:
diff changeset
5186 <p>Quod diximus de tubis columnaris &amp; conoidalis figur&aelig;;
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parents:
diff changeset
5187 intelligendum etiam e$t de columnis aliarum figurarum, pro-
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parents:
diff changeset
5188 pter paritatem rationis, dummodo $int verticaliter erecti.
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parents:
diff changeset
5189 <p>Si foramen e$t quidem in ba$i tubi (cuiuscunque figur&aelig;
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parents:
diff changeset
5190 <pb n=113>
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parents:
diff changeset
5191 &amp; conditionis $it tubus,) at $uperior aqu&aelig; fuperficies non $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5192 pereminet foramini ad perpendiculum, ut in appo$ita Figura ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5193 paret; adhuc effluit aqua columnaliter, $eu in$tar column&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5194 AB, cuius ba$is e$t foramen B. altitudo perpendiculares &agrave; ba$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5195 u$que ad $ummitatem i$tius aqu&aelig;; qu&aelig; ba$i perpendiculariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5196 imminet. Ratio de$umitur ex dictis cap 1. Proprietate IV.
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parents:
diff changeset
5197 <C>Corollarium.</C>
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5198 <p>EX his colligitur, $olam columnam aqueam AB premere
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parents:
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5199 <MARG><I>Columna
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parents:
diff changeset
5200 aquea $ola
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parents:
diff changeset
5201 premit $u-
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parents:
diff changeset
5202 pra foram&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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5203 per quod ef-
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parents:
diff changeset
5204 fluit.</I></MARG>
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diff changeset
5205 $upra foramen B, quoniam illa $ola ad perpendiculum im-
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parents:
diff changeset
5206 minet ba$is foramini.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5207 <C>Propo$itio II. Ph&aelig;nomenon II.</C>
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diff changeset
5208 <C>Per tubos tam $emper, qu&agrave;m non $emper plenos &aelig;qua-
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parents:
diff changeset
5209 lis altitudinis, &amp; &aelig;qualium foraminum, effluit &aelig;qualis aqu&aelig;
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parents:
diff changeset
5210 copia, eodem vel &aelig;quali tempore, cuiuscunque capaci-
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parents:
diff changeset
5211 tatis &amp; form&aelig; $int tubi.</C>
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casties
parents:
diff changeset
5212 <p>ALtitudo tuborum, tum hac, tum $equentibus Propo$itioni
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parents:
diff changeset
5213 <MARG><I>Tuborum
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parents:
diff changeset
5214 altitudo v<*>
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parents:
diff changeset
5215 de $umatur</I></MARG>
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parents:
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5216 bus, $umitur &agrave; lumine $eu foramine, u$que ad $uperius orifi-
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parents:
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5217 cium, includendo etiam ip$ius foraminis altitudinem $eu cra$-
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casties
parents:
diff changeset
5218 $itiem, ab interiori ad exteriorem $uperficiem ba$is, $i in ba$i $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5219 fundo $it foramen.
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5220 <p>Sint igitur, ut antea, tubi, AB, &aelig;qu&egrave; al<*>i, &amp; &aelig;qualium fo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5221 raminum B, $ive $emper pleni, $ive non $emper pleni, cuius-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5222 cunque capacitatis, &amp; figur&aelig;. Dico, per foramina illa effluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5223 eodem, vel &aelig;quali tempore, &aelig;qualem aqu&aelig; copiam. Quoni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5224 am enim, per pr&aelig;cedentem Propo$itionem, $upra foramem B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5225 in omnibus &aelig;qualis aqu&aelig; copia &aelig;quali vi premit, nempe colu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5226 mna aquea AB, cuius ba$is e$t foramen B in omnibus &aelig;quale,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5227 ut $upponitur; &amp; altitudo e$t perpendicularis AB, in omnibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5228 itidem &aelig;qualis; nece$$e e$t, &aelig;qualem aqu&aelig; copiam eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5229 pore decurrere ex omnibus: ubi enim omnia $unt &aelig;qualia, ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5230 fectus $unt &aelig;quales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5231 <pb n=114>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5232 <C>Corollarium I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5233 <MARG><I>Aqu&aelig; flux'
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5234 &egrave; foramine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5235 va$is non e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5236 celerior pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5237 pter va$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5238 capacit<*>&etilde;.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5239 <p>COlligitur hinc, ad aqu&aelig; effluxum maiorem, aut celeriorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5240 &egrave; foramine eodem, aut &aelig;quali, nihil facere capacitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5241 va$is aut tubi; adeo ut $i totus Oceanus e$$et inclu$us in uno tubo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5242 aut va$e, &amp; in altero modica aqua, vterque tamen tubus e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5243 &aelig;qu&egrave; altus, &amp; haberet &aelig;qualia foramina; &aelig;qualis aqu&aelig; copia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5244 ex vtroque efflueret eodem, vel &aelig;quali tempore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5245 <C>Corollarium II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5246 <p>COlligitur pr&aelig;terea, per foramina &aelig;qualia in eadem ba$i eius-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5247 dem tubi, &aelig;qualem aquam effluere eodem tempore. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5248 de hoc agemus infr&agrave; cap. 5. Propo$. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5249 <C>Propo$itio III. Ph&aelig;nomenon III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5250 <C>Per tubos tam $emper, qu&agrave;m non $emper plenos &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5251 lium luminum, $ed in&aelig;qualium altitudinum, effluit eodem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5252 vel &aelig;quali tempore, in&aelig;qualis aqu&aelig; copia.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5253 <p>NEmpe per tubum magis altum maior, &amp; per tubum min&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5254 altum, minor. Ratio e$t, quia $upra lumen altioris tubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5255 maior aqu&aelig; copia, &amp; maiori vi ac celeritate; &amp; $upra lumen mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5256 noris minor, &amp; minori vi ac celeritate premit, nempe aquea co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5257 lumna magis aut min&ugrave;s alta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5258 <C>Propo$itio IV. Ph&aelig;nomenon IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5259 <C>Per tubos $emper, &amp; non $emper plenos in&aelig;qualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5260 luminum, $ed &aelig;qualium altitudinum, effluit eodem, vel &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5261 quali tempore, in&aelig;qualis aqu&aelig; copia.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5262 <p>NEmpe per maius lumen maior, &amp; per minus minor. Ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5263 e$t eadem, quia $cilicet $upra maius lumen premit maior a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5264 qu&aelig; copia, &amp; maiori vi; &amp; $upra minus minor, &amp; minori vi, $ci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5265 licet columna aquea &aelig;qu&egrave; alta, $ed non &aelig;qu&egrave; cra$$a.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5266 <C>Pori$ma.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5267 <p>PEr tubos vtro$que, hoc e$t, tam $emper plenos, qu&agrave;m non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5268 $emper plenos, in&aelig;qualium luminum, &amp; in&aelig;qualium altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5269 <pb n=115>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5270 dinum, effluere pote$t eodem, vel &aelig;quali tempore, &aelig;qualis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5271 &amp; in&aelig;qualis aqu&aelig; copia, hoc e$t, &aelig;qualis per aliquos, in&aelig;qualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5272 per alios. Ratio e$t, quia defectus luminis in vno pote$t $up-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5273 pleri per altitudinem; &amp; defectus altitudinis in altero pote$t $up-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5274 pleri per lumen, vt experientia etiam docet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5275 <C>Propo$itio V. Ph&aelig;nomenon. V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5276 <C>Per tubos &aelig;qu&egrave; altos, &amp; &aelig;qualium luminum, non $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5277 per plenos, fluit eodem tempore &aelig;qualis aqu&aelig; copia; $ed tant&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5278 fluit vnus diuti&ugrave;s altero, quant&ograve; pl&ugrave;s aqu&aelig; continet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5279 vnus qu&agrave;m alter.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5280 <p>PAtet ex hactenus dictis, &amp; experienti&acirc;, nec indiget alia pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5281 batione. Ille autem pl&ugrave;s aqu&aelig; continet, qui amplior e$t:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5282 loquimur enim h&icirc;c de ijs tubis, quorum orificia $unt &aelig;qualia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5283 etiam$i ip$i tubi $int in&aelig;qualis amplitudinis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5284 <C>Corollarium.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5285 <p>ERgo &amp; per &aelig;qualia foramina ba$is eiusdem tubi, &aelig;qualis eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5286 dem tempore effluit aqua. Vide cap. 5. Propo$. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5287 <C>Propo$itio VI. Ph&aelig;nomenon VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5288 <C>Per tubos non $emper plenos, &amp; non &aelig;qu&egrave; altos, &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5289 lium tamen luminum, eodem vel &aelig;quali tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5290 non fluit &aelig;qualis aqu&aelig; copia.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5291 <p>EAdem e$t ratio de quibu$cunque va$is. Patet experienti&acirc;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5292 <MARG><I>Vas magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5293 plenum plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5294 aqu&aelig; effun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5295 dit per fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5296 men, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5297 minus ple-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5298 num.</I></MARG>
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casties
parents:
diff changeset
5299 qu&aelig; mon$trat, ex altiori tubo $eu va$e fluere maiorem aqu&aelig;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5300 copiam tempore eodem, vel &aelig;quali, qu&agrave;m ex tubo vel va$e mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5301 n&ugrave;s alto habente lumen &aelig;quale. Et ratio e$t, quia in altiori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5302 magis preinitur aqua $upra lumen, qu&agrave;m in min&ugrave;s alto. Vide
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5303 Propo$it. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5304 <C>Pori$ma I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5305 <p>SEquitur hinc, ex eodem tubo, aut va$e, non $emper pleno,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5306 &aelig;qualibus temporibus, non &aelig;qualem effluere aquam ex eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5307 dem foramine, $ed in $ecundo tempore minorem, qu&agrave;m in pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5308 mo, &amp; in tertio minorem, qu&agrave;m in $ecundo, &amp; $ic deinceps.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5309 Vide Propo$it. 24.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5310 <pb n=116>
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diff changeset
5311 <C>Pori$ma II.</C>
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diff changeset
5312 <p>SEquitur pr&aelig;terea, $patia qu&aelig; &aelig;qualibus temporibus evacu-
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diff changeset
5313 antur in dicto ca$u, non e$$e &aelig;qualia, $ed $ecundum $patium
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diff changeset
5314 corre$pondens $ecundo tempori, e$$e minus primo; &amp; tertium
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diff changeset
5315 $patium corre$pondens tertio tempori, minus $ecundo; &amp; $ic de
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diff changeset
5316 c&aelig;teris. Vide ibidem.
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diff changeset
5317 <C>Propo$itio VII. Ph&aelig;nomenon VII.</C>
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diff changeset
5318 <C>Tubus altitudine quadrupedalis, cui pro ba$is diametro
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diff changeset
5319 pedis Pari$ien$is vncia, aqu&acirc; $emper plenus, effundit per lumen
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diff changeset
5320 lineare in ba$i $itum aqu&aelig; libram $patio tredecim mi-
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diff changeset
5321 nutorum $ecundorum temporis.</C>
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diff changeset
5322 <p>OB$ervavit hoc Marinus Mer$ennus, ut a$$erit ip$e in Hydrau-
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diff changeset
5323 licis $uis Ph&aelig;nomenis Propo$it. 1.
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diff changeset
5324 <C>Annotatio I.</C>
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parents:
diff changeset
5325 <p><I>VTitur autem Mer$ennus tam pede, qu&agrave;m libra (heminam vocat ip$e)</I>
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diff changeset
5326 <MARG><I>Pes dividi
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parents:
diff changeset
5327 tur in vnci-
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diff changeset
5328 <*></I> 12. <I>&amp; di-
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diff changeset
5329 gitos</I> 16.</MARG>
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diff changeset
5330 <I>Pari$ien$i. Et pedem quidem, uti in aliarum Nationum pedibus fie-
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diff changeset
5331 ri$olet, dividit in duodecim &aelig;quales partes, quas uncias appellat; &amp;
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diff changeset
5332 quaml&iacute;bet vnciam $ubdividit in alias duodecim partes &aelig;quales, quas
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parents:
diff changeset
5333 <MARG>Linea e$t
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diff changeset
5334 duodecima
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diff changeset
5335 pars vncia.</MARG>
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parents:
diff changeset
5336 ip$e lineas, alij $crupulos vocant. Vncia, $eu duodecima pedis pars ap-
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diff changeset
5337 pellatur etiam pollex; ab aliquibus ver&ograve; cum Mer$enno digitus: recti&ugrave;s
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diff changeset
5338 tamen digitus e$t decima $exta pars pedis, vt con$tat ex Vitruvio, Iulio
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parents:
diff changeset
5339 Frontino, Columella, &amp; alijs apud Villalpandum tom.</I> 3. <I>Apparatus
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diff changeset
5340 Part.</I> 2. <I>lib.</I> 3. <I>cap.</I> 16.
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parents:
diff changeset
5341 <MARG><I>Minuti $e-
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parents:
diff changeset
5342 <*>undi dura
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parents:
diff changeset
5343 tio, quanta
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parents:
diff changeset
5344 $it.</I></MARG>
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parents:
diff changeset
5345 <p><I>Minutum $ecundum e$t $exage$ima pars unius minuti primi, $eu</I>
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diff changeset
5346 3600. <I>pars vnius hor&aelig;, &amp; proxim&egrave; re$pondet lento arteri&aelig; $eu cordis
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parents:
diff changeset
5347 pul$ui, ut Mer$ennus a$$erit.</I>
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parents:
diff changeset
5348 <C>Annotatio II.</C>
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parents:
diff changeset
5349 <p><I>NOn e$t nece$$e, ut ba$is tubi quadrupedalis, quo fit ob$ervatio, $it
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parents:
diff changeset
5350 <MARG>Vas ampli-
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parents:
diff changeset
5351 us non effu-
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parents:
diff changeset
5352 dit pl&ugrave;s a
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parents:
diff changeset
5353 qu&aelig; per fora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5354 men, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5355 min&ugrave;, am-</MARG>
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parents:
diff changeset
5356 pedalis, aut uncialis, aut alterius determinat&aelig; amplitudinis atque
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parents:
diff changeset
5357 capacitatis, $ed $ufficit quantalibet latitudo tubi, dummod&ograve; foramen $it
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diff changeset
5358 lineare. Ratio e$t, quia; ut vidimus Propo$itione</I> 2. <I>huius capitis, ea-
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parents:
diff changeset
5359 dem aqu&aelig; quantitas eodem, vel &aelig;quali tempore, fluit ex tubo $emper
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diff changeset
5360 pleno quantum vis arcto, vel lato, dummod&ograve; foramen $it lineare, &amp; al-</I>
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diff changeset
5361 <pb n=117>
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parents:
diff changeset
5362 <I>titudo $it quadrupedalis; adeo ut $i totus Oceanus, ut $upr&agrave; innuimus in
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parents:
diff changeset
5363 <MARG>plum, $i al-
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parents:
diff changeset
5364 titudo &amp; fo-
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parents:
diff changeset
5365 ram&egrave; &aelig;qua
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parents:
diff changeset
5366 lia $unt.</MARG>
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parents:
diff changeset
5367 Corollario I. Propo$it.</I> 2. <I>e$$et inclu$us va$i quatuor pedum &aelig;ltitudinis &amp;
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parents:
diff changeset
5368 luminis linearis, non effunderet ni$i vnicam heminam $eu libram Pari-
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parents:
diff changeset
5369 $ien$em $patio tredecim minutorum $ecundorum; Si tamen addas, inquit
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parents:
diff changeset
5370 Mer$ennus, pro horis $ingulis vnam quadrage$imam quintam libr&aelig;
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parents:
diff changeset
5371 partem, qu&acirc;$olet aqua marina $uperare aquam fontium ac fluviorum in
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parents:
diff changeset
5372 pondere, &amp; con$equenter vi premendi, &amp; vehementi&ugrave;s &egrave; foramine e-
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parents:
diff changeset
5373 rumpendi.</I>
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parents:
diff changeset
5374 <C>Annotatio III.</C>
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parents:
diff changeset
5375 <p><I>QVod dicit Mer$ennus de tubo quadrupedali, &amp; de libra aqu&aelig;, in-
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parents:
diff changeset
5376 telligi debet $ol&ugrave;m loquendo de pede &amp; libra Pari$ien$i, non ve-
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parents:
diff changeset
5377 r&ograve; aliarum Nationum, $ed unu$qui$que in $ua natione experientiam
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parents:
diff changeset
5378 facere debet, ut $ciat quantum aqu&aelig;, quanto tempore, ex quant&aelig; al-
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parents:
diff changeset
5379 <MARG>Podis men-
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parents:
diff changeset
5380 $ura diver-
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parents:
diff changeset
5381 $a apud di-
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parents:
diff changeset
5382 ver$as na-
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parents:
diff changeset
5383 tiones.</MARG>
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parents:
diff changeset
5384 titudinis, quantique foraminis tubo, ejiciatur. C&aelig;ter&ugrave;m c&ugrave;m diffe-
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parents:
diff changeset
5385 rentia pedum, atque librarum apud diver$as Nationes tanta $it, quan-
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parents:
diff changeset
5386 ta ip$arum Nationum; cum&queacute; difficulter exacta men$ura unius certi
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parents:
diff changeset
5387 ac determinati pedis, v. g. Romani, aut Pari$ien$is, ad alias Nationes
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parents:
diff changeset
5388 tran$mitti libris impre$$is po$$it, qu&ograve;d chart&aelig; pri&ugrave;s madefact&aelig;, ac dein-
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parents:
diff changeset
5389 de $iccat&aelig;, non reddant fideliter longitudinem linearum impre$$arum;
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parents:
diff changeset
5390 nolo diuti&ugrave;s huic rei inh&aelig;rere, comparando pedem Pari$ien$em cum
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parents:
diff changeset
5391 pedibus aliarum Nationum. Faciat, qui volet, aut cujus intere$t,
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parents:
diff changeset
5392 experientiam, ut videat quanto tempore tubus quatuor pedum regio-
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parents:
diff changeset
5393 nis $u&aelig; ejiciat per lumen lineare aqu&aelig; libram itidem regionis $u&aelig;. De
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parents:
diff changeset
5394 exacta pedis Romani men$ura, &amp; de modo tran$mittendi illum ad
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parents:
diff changeset
5395 alias nationes, di$$eram in Pantometro Kircheriano Lib.</I> 1. <I>Technico
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diff changeset
5396 Parte</I> 2. <I>Cap.</I> 4.
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parents:
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5397 <C>Propo$itio VIII. Ph&aelig;nomenon VIII.</C>
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parents:
diff changeset
5398 <C>Aqu&aelig; fluentes ex tubis tam $emper, qu&agrave;m non $em-
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parents:
diff changeset
5399 per plenis &aelig;qualium foraminum, $ed in&aelig;qualium altitudinum,
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parents:
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5400 habent rationem $ubduplicatam altitudinum tuborum;
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casties
parents:
diff changeset
5401 habent&qacute;ue dicti tubi duplicatam rationem
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diff changeset
5402 aquarum, quas fundunt.</C>
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diff changeset
5403 <p>RAtio $eu proportio duplicata qu&aelig;cunque, e$t ratio qu&aelig;-
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diff changeset
5404 <MARG><I>Duplicat<*>
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diff changeset
5405 proportio
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diff changeset
5406 qu&aelig;.</I></MARG>
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diff changeset
5407 cunque $implex $emel repetita, $eu bis continu&egrave; $umpta:
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diff changeset
5408 <pb n=118>
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diff changeset
5409 quemadmodum ratio qu&aelig;cunque triplicata, quadruplicata, &amp;c.
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diff changeset
5410 e$t ratio qu&aelig;cunque $implex bis, ter &amp;c. repetita, $eu ter,
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diff changeset
5411 quater continu&egrave; $umpta. Exemplum. Inter 2 &amp; 1 reperitur
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diff changeset
5412 ratio dupla; h&aelig;c ratio $i $emel repetatur, $eu adhuc $emel
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diff changeset
5413 accipiatur, hoc e$t, $i bis continu&egrave; $umatur hoc modo, 4,
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diff changeset
5414 2, 1; erit inter 4 &amp; 1 ratio $eu proportio duplicata illius pro-
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diff changeset
5415 portionis, qu&aelig; e$t inter 2 &amp; 1, quandoquidem inter 4 &amp; 1
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diff changeset
5416 reperitur ratio dupla $emel repetita, $eu bis continu&egrave;
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diff changeset
5417 $umpta, hoc e$t, duplicata, $cilicet $emel inter 4 &amp; 2, &amp; ite-
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diff changeset
5418 rum inter 2 &amp; 1. Similiter inter 8 &amp; 1 e$t ratio triplicata il-
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diff changeset
5419 lius, qu&aelig; e$t inter 2 &amp; 1, quia inter 8 &amp; 1, intercedit ter
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diff changeset
5420 ratio dupla, nempe 8 ad 4, 4 ad 2, 2 ad 1. Sic 16 ad 1 ha-
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diff changeset
5421 bet rationem quadruplicatam, &amp; 32 ad 1 rationem quintu-
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diff changeset
5422 plicatam rationis illius, quam habet 2 ad 1. Aliud exemplum.
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diff changeset
5423 Inter 6 ad 4 reperitur ratio $e$quialtera $implex; h&aelig;c ratio
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diff changeset
5424 duplicatur, $i adhuc $emel repetatur, $eu $i bis continu&egrave; $uma-
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diff changeset
5425 tur, ut apparet in his numeris 9, 6, 4: nam quia ut 6 ad 4,
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diff changeset
5426 ita 9 ad 6; ideo inter 9 &amp; 4 bis reperitur ratio $e$quialtera.
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diff changeset
5427 Si ver&ograve; eadem ratio $e$quialtera bis repetatur, $eu ter conti-
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diff changeset
5428 nu&egrave; ponatur; erit inter extremos terminos ratio $e$quialtera
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diff changeset
5429 triplicata, ut apparet in his numeris, 13<*>, 9, 6, 4; quam pro-
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diff changeset
5430 portionem ab$que fractione habebis, $i duplicaveris ho$ce
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diff changeset
5431 numeros $ic, 27, 18, 12, 8: nam ut 12 continet 8 $emel cum
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5432 dimidio, ita 18 continet 12 $emel cum dimidio, &amp; 27 etiam
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diff changeset
5433 continet 18 $emel cum dimidio.
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5434 <MARG><I>Subduplica
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diff changeset
5435 ta proportio
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diff changeset
5436 qu&aelig;.</I></MARG>
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diff changeset
5437 <p>Ex ratione duplicata, triplicata, quadruplicata, &amp;c. facil&egrave;
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diff changeset
5438 intelligitur ratio $ubduplicata, $ubtriplicata, $ubquadruplica-
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diff changeset
5439 ta, &amp;c. Nam per rationem $ubduplicatam intelligimus dimidi&utilde;
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diff changeset
5440 rationis duplicat&aelig;. Verbi gratia, 4 ad 1 habet rationem dupli-
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diff changeset
5441 catam rationis dupl&aelig;; 2 ad 1, aut 4 ad 2, con$tituunt dimidium
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diff changeset
5442 rationis 4 ad 1; ideo 2 ad 1, &amp; 4 ad 2, habent rationem $ub-
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diff changeset
5443 duplicatam. Similiter 9 ad 4 habet rationem duplicatam
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diff changeset
5444 rationis $e$quialter&aelig;; dimidium talis rationis e$t 9 ad 6, vel
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diff changeset
5445 6 ad 4; ideo 9 ad 6, &amp; 6 ad 4 habent rationem $ubduplica-
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parents:
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5446 tam pr&aelig;dict&aelig; rationis $e$quialter&aelig;.
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diff changeset
5447 <pb n=119>
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diff changeset
5448 <FIG>
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5449 <p>His explicatis, e$to tubus AB unius pedis, &amp;
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5450 <MARG><I>Aqu&aelig; dupli
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5451 catam ra-
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5452 tionem ha-
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5453 bent tubo-
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parents:
diff changeset
5454 rum &aelig;qua-
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5455 lium lumi-
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5456 num, at in-
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5457 &aelig;qualium
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5458 altitudin&utilde;.</I></MARG>
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diff changeset
5459 tubus CD quatuor pedum, &aelig;qualium foraminum,
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5460 &amp; uterque $eu $emper, $eu non $emper plenus; qui
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5461 quidem eodem, vel &aelig;quali tempore in&aelig;qualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5462 effundunt aqu&aelig; copiam, nempe major majorem,
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5463 &amp; minor minorem, ut con$tat ex Propo$itione III.
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parents:
diff changeset
5464 pr&aelig;cedenti. Dico, aquam tubi CD, ad aquam
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diff changeset
5465 tubi AB eodem aut &aelig;quali tempore effu$am, ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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5466 bere rationem $ubduplicatam tuborum, hoc e$t,
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diff changeset
5467 aquam effluentem &egrave; tubo CD e$$e duplam aqu&aelig;
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5468 effluentis &egrave; tubo BA. Etidem dicendum e$t de qua-
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5469 cunque alia ratione $eu proportione; ut $i unus tu-
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5470 bus $it 9 pedum, alter unius pedis, erit aqua ma-
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parents:
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5471 joris ad aquam minoris, ut 3 ad 1. Con$tat ex
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5472 ob$ervatione, ut a$$erit Mer$ennus in $uis Hydraulicis, Propo-
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parents:
diff changeset
5473 $it. 2 po$t medium. Ratio ph&aelig;nomeni dependet ex velocita-
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parents:
diff changeset
5474 te aqu&aelig; de$cendentis &amp; effluentis ex tubo CD, $upra veloci-
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diff changeset
5475 tatem &aelig;qu&aelig; de$cendentis &amp; effluentis ex tubo AB; de qua
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5476 vide Propo$it. IX. &amp; X. $eq. ubi dicemus, illam ad hanc e$$e du-
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5477 plam, hoc e$t, $ubduplicatam altitudinum tuborum haben-
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parents:
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5478 tium &aelig;qualia foramina; quo demon$trato, demon$trabimus
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5479 deinde Propo$itione XI. hanc pr&aelig;$entem Propo$itionem.
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parents:
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5480 <C>Pori$ma I.</C>
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parents:
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5481 <p>COlligitur ex his, tuborum &aelig;qualium foraminum altitudi-
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5482 <MARG><I>Tubi &aelig;qua-
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5483 lium lumi-
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5484 num, at in-
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5485 &aelig;qualium
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parents:
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5486 altitudin&utilde;,
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5487 habent du-
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5488 plicatam ra-
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5489 tion&etilde; aqua-
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5490 rum.</I></MARG>
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5491 nes debere e$$e in duplicata ratione aquarum in&aelig;qualium
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5492 quas debent eodem tempore fundere. Verbi gratia, tubus pe-
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5493 dalis determinato tempore dat unam aqu&aelig; libram ex $uo fo-
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diff changeset
5494 ramine; ut alius tubus ex &aelig;quali foramine &aelig;quali tempore det
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5495 duas libras, debet habere duplicatam rationem ad illum, nem-
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5496 pe debet e$$e altus quatuor pedibus. Sic etiam quia tubus qua-
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5497 tuor pedum per lineare lumen $patio 13 minutorum $ecundo-
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5498 rum fundit unam libram aqu&aelig;, ut diximus Propo$it. VII. ut
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5499 alius tubus eodem tempore per lumen lineare fundat centum
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5500 <pb n=120>
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5501 libras, debet habere altitudinem duplicatam 1 ad 100; nem-
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5502 pe 40000. pedum. Atque h&aelig;c e$t conver$a pr&aelig;cedentis Pro-
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diff changeset
5503 po$itionis.
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5504 <C>Pori$ma II.</C>
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5505 <p>COlligitur pr&aelig;terea, datis tubis &aelig;qualium foraminum, at
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diff changeset
5506 in&aelig;qualium altitudinum, in numeris aut lineis, mediam
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5507 proportionalem dare aquas; &amp; datis aquis in numeris aut men-
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5508 $uris, tertiam proportionalem dare tuborum altitudinem &aelig;qua-
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5509 lium foraminum.
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5510 <C>Annotatio.</C>
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5511 <MARG><I>Medi&aelig;, ac
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5512 Terti&aelig; pro-
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5513 portionalis
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diff changeset
5514 quantitatis
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diff changeset
5515 in ventio.</I></MARG>
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5516 <p><I>DEinventione medi&aelig; ac terti&aelig; proportionalis magnitudinis in nume-
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diff changeset
5517 ris ac lineis, agemus infr&agrave; in Parergo hujus capitis, &amp; in Arith-
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diff changeset
5518 metica ac Geometria practica, &amp; in Pantometro Kircheriano lib.</I> 8.
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diff changeset
5519 <I>cap.</I> 1. <I>Propo$it.</I> 1. <I>&amp;</I> 3.
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diff changeset
5520 <C>Propo$itio IX. Theorema I.</C>
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5521 <C>Aqua naturali motu de$cendens &amp; effluens per tubos,
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diff changeset
5522 imitatur leges aliorum gravium naturali
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5523 motu de$cendentium.</C>
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5524 <p>NOn uni mirabile vi$um, inquit Mer$ennus in Ph&aelig;nome-
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5525 nis Hydraulicis Propo$it. III. qu&ograve;d non $it eadem ratio
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diff changeset
5526 quantitatis aqu&aelig; fluentis ex tubo pedali, ad aqu&aelig; quantitatem
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diff changeset
5527 ex quadrupedali tubo $alientis, po$ito &aelig;quali foramine in utro-
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diff changeset
5528 que, qu&aelig; e$t 1 ad 4; c&ugrave;m aqua quadrupedalis tubi quadruplo
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diff changeset
5529 magis, qu&agrave;m pedalis premere videatur fundum, &amp; aquam ex
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diff changeset
5530 lumine $alientem. Ver&ugrave;m mirari de$ines, ubi noveris, aquam
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diff changeset
5531 eo $ol&ugrave;m modo premere, vel ea duntaxat velocitate tubum
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diff changeset
5532 egredi, qu&acirc; moveretur, $i ex eadem tubi altitudine cecidi$$et;
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diff changeset
5533 adeo ut $it eadem i$tius ph&aelig;nomeni ratio, qu&aelig; de$cen$us aqu&aelig;
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diff changeset
5534 per tubum; &amp; eadem hujus de$cen$us, qu&aelig; de$cen$us aliorum
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5535 <*>m; de quo proinde h&icirc;c agendum paul&ograve; accurati&ugrave;s, quan-
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5536 <*>dem aqu&aelig; motus per tubum, &amp; ex tubo eruptio, $equi-
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5537 <*>ges gravium motu naturali de$cendentium.
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5538 <pb n=121>
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5539 <C>Leges gravium naturali motu de$cendentium.</C>
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5540 <p>LEges porr&ograve;, quas gravia in de$cen$u naturali motu facto
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5541 <MARG><I>Gravium
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5542 naturali
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5543 motu de-
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diff changeset
5544 $cendenti&utilde;
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5545 leges.</I></MARG>
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5546 $ervant, incredibili cura ac diligentia indagavit &amp; ob$er-
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5547 vavit Bononi&aelig; P. Joannes Bapti$ta Ricciolus, un&agrave; cum alijs
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5548 &egrave; no$tra Societate Patribus, ea$que clari$$im&egrave; ac di$tincti$$im&egrave;
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5549 <MARG><I>Riccioli di-
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5550 ligentia ex-
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5551 acta in ob-
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5552 $ervandis le
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5553 gibus gra-
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5554 viu<*></I></MARG>
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5555 proponit in Tomo 1. Almage$ti $ui novi; fus&egrave; quidem lib. 9.
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5556 $ect. 4. cap. 16. num. 24. breviter ver&ograve; lib. 2. cap. 21. Quibus
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diff changeset
5557 Riccioli ob$ervationibus tantam ego fidem adhibeo, ut licet
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5558 h&icirc;c Rom&aelig; ea$dem repetere opportuni$$imum mihi foret, de-
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5559 mi$$is gravibus per cochleatas Divi Petri in Vaticano $calas
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diff changeset
5560 alti$$imas, &amp; ab omni a&euml;ris commotione liberas, fene$tris in
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diff changeset
5561 $uper plurimis ab ima ba$i ad $ummitatem u$que refertas; n<*>-
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5562 luerim tamen me fru$tra fatigare, c&ugrave;m nec accuratiores ad-
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5563 hibere me po$$e putem, nec $i adhibeam, alias pr&aelig;ter ip$ius
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5564 leges reperturum me cert&ograve; $ciam. Ex multis igitur de$cen-
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5565 $us gravium legibus &agrave; Ricciolo locis citatis adductis, duas $e-
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5566 quentes affero, quoniam e&aelig; propo$ito no$tro $atisfacient.
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5567 <p><I>I. Gravia naturali motu per lineam perpendicularem in a&euml;re de-
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5568 <MARG>Lex I. gra-
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5569 vium de-
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parents:
diff changeset
5570 $cendenti&utilde;.</MARG>
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parents:
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5571 $cendentia, moventur difformi velocitate, e&acirc;que majore &amp; majore
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5572 ver$us finem motus.</I> Lex h&aelig;c nota fuit jam inde &agrave; viginti &amp; am-
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diff changeset
5573 pli&ugrave;s $&aelig;culis in Academijs Phy$icorum, pr&aelig;$ertim Peripateti-
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5574 corum cum Ari$totele lib. 1. de c&oelig;lo cap. 88. inquit Ricciolus,
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5575 patetque oculis, auribus, &amp; tactui; videmus enim gravia de-
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5576 $cendentia accelerare magis ac magis motum; audimus vehe-
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5577 mentiorem $onum, percipimus validiorem percu$$ionem, ex
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5578 lap$u gravis ac duri &egrave; loco altiori, qu&agrave;m min&ugrave;s alto.
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parents:
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5579 <p><I>II. Motus gravium naturaliter de$cendentium per a&euml;rem, cre-
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5580 <MARG>Lex II. gra-
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5581 vium de-
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parents:
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5582 $cendenti&utilde;.</MARG>
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5583 $cit eo incremento velocitatis, quod e$t inter numeros impares ab uni-
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5584 tate numeratos; $eu ita ut $patia &aelig;qualibus temporibus tran$mi$$a $int
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parents:
diff changeset
5585 inter $e, ut quadrata temporum; $eu ita, ut $patia tran$mi$$a certis
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diff changeset
5586 temporibus habeant inter $e duplicatam proportionem illius, quam ha-
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diff changeset
5587 bent tempora quibus $patia illa men$urata fuerint.</I> ita Ricciolus lo-
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diff changeset
5588 cis citatis, &amp; ante ip$um Galil&aelig;us Dialogo 2. de Sy$temate
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5589 <pb n=122>
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parents:
diff changeset
5590 Mundi, &amp; Balianus lib 1. de Motu naturali gravium, Propo$it. 6.
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diff changeset
5591 (licet deinde lib. 4. &agrave; pag. 110. ad 113. aliter $tatuat) &amp; po$tip$os
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parents:
diff changeset
5592 Ga$$endus in Epi$tolis de motu impre$$o &agrave; motore, &amp; Kirche-
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diff changeset
5593 rus in Mu$urgia lib. 6. parte 1. Lemmate 3. &amp; con$tat experien-
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diff changeset
5594 <MARG><I>Numeri pa-
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parents:
diff changeset
5595 riter impa-
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diff changeset
5596 res ab unita
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diff changeset
5597 te numera-
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parents:
diff changeset
5598 ti.</I></MARG>
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parents:
diff changeset
5599 ti&acirc;. Numeri pariter impares ab unitate numerati, $unt hi: 1,
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parents:
diff changeset
5600 3, 5, 7, 9, 11, 13, 15 &amp;c. Itaque $i grave aliquod de$cendens con-
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diff changeset
5601 ficit in primo minuto temporis unum $tadium $patij; in $ecundo
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diff changeset
5602 minuto conficiet tria ftadia, in tertio quinque, in quarto $e-
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diff changeset
5603 ptem, &amp;c. Sic enim $patia &aelig;qualibus temporibus confecta,
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diff changeset
5604 erunt inter $e, ut quadrata temporum: nam quadratum mi-
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diff changeset
5605 nuti primi e$t 1; &amp; quadratum minuti $ecundi, 4; &amp; quadra-
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diff changeset
5606 tum minuti tertij, 9; &amp; quadratum minuti quarti, 16 &amp;c. ut
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diff changeset
5607 apparet inappo$ita tabella.
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diff changeset
5608 <table>
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5609 <TR><TD ALIGN="CENTER">Tempora</TD><TD ALIGN="CENTER">Quadrata</TD><TD ALIGN="CENTER">Spatia</TD></TR>
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5610 <TR><TD ALIGN="CENTER">1</TD><TD ALIGN="CENTER">1</TD><TD ALIGN="CENTER">1</TD></TR>
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5611 <TR><TD ALIGN="CENTER">2</TD><TD ALIGN="CENTER">4</TD><TD ALIGN="CENTER">3</TD></TR>
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5612 <TR><TD ALIGN="CENTER">3</TD><TD ALIGN="CENTER">9</TD><TD ALIGN="CENTER">5</TD></TR>
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5613 <TR><TD ALIGN="CENTER">4</TD><TD ALIGN="CENTER">16</TD><TD ALIGN="CENTER">7</TD></TR>
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5614 <TR><TD ALIGN="CENTER">5</TD><TD ALIGN="CENTER">25</TD><TD ALIGN="CENTER">9</TD></TR>
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5615 <TR><TD ALIGN="CENTER">6</TD><TD ALIGN="CENTER">36</TD><TD ALIGN="CENTER">11</TD></TR>
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5616 </TABLE>
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diff changeset
5617 C&ugrave;m igitur grave de$cen-
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diff changeset
5618 dens in primo minuto con-
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parents:
diff changeset
5619 ficiat unum $patium, &amp; in
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diff changeset
5620 $ecundo minuto tria $patia,
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diff changeset
5621 qu&aelig; cum uno conficiunt
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diff changeset
5622 quatuor; &amp; in tertio minu-
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diff changeset
5623 to quinque $patia, qu&aelig; cum
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diff changeset
5624 quatuor efficiunt novem; &amp; in quarto minuto $eptem $patia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5625 qu&aelig; cum novem efficiunt $exdecim; &amp; in quinto minuto no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5626 vem $patia, qu&aelig; cum $exdecim efficiunt viginti quinque, &amp;c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5627 apparet manife$t&egrave;, $patia tran$mi$$a &agrave; gravi de$cendente, ha-
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parents:
diff changeset
5628 bere $e, ut quadrata temporum &aelig;qualium, quibus percurrun-
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parents:
diff changeset
5629 tur illa $patia. In idem autem recidit, $i dicas, $patia tran$-
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parents:
diff changeset
5630 mi$$a certis temporibus habere inter $e duplicatam rationem
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parents:
diff changeset
5631 $eu proportionem illius proportionis, quam habent tempora,
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parents:
diff changeset
5632 quibus $patia illa men$urata fuerint: nam tempus $eu minutum
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parents:
diff changeset
5633 $ecundum ad primum, ut apparet ex tabella pr&aelig;cedente, ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5634 bet rationem $eu proportionem duplam, $patia ver&ograve; $ecundo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5635 minuto confecta, nempe 1 ad 3 (qu&aelig; $imul juncta efficiunt 4)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5636 ad primum minutum habent rationem duplicatam rationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5637 <*>pl&aelig;. Eadem e$t ratio de c&aelig;teris. Lege etiam Mundum $u<*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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5638 <pb n=123>
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parents:
diff changeset
5639 terraneum P. Athana$ij Kircheri, ubi in Libro Centro$ophico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5640 fu$i$$im&egrave; pertractat hanc materiam. Lege pr&aelig;terea Joannem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5641 Caramuelem in Cruce Sublimium ingeniorum.
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parents:
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5642 <C>Leges aqu&aelig; naturali motu de$cendentis
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5643 &amp; effluentis per tubos.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5644 <p>SIt jam tubus ABCD, $ive $emper, $ive non $emper plenus,
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parents:
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5645 <MARG><I>Leges aqua
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parents:
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5646 naturali
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casties
parents:
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5647 motu de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5648 $cendentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5649 per tubos.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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5650 cujus foramen B; tempu$&qacute;ue in quo aqua ab A de$cendit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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5651 u$que ad B, dividatur in quinque &aelig;quales partes, in quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5652 prima confecerit $patium A1; Dico, eandem aquam in $e-
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parents:
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5653 cunda parte temporis conficere $patium A4, in tertia parte
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casties
parents:
diff changeset
5654 <FIG>
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casties
parents:
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5655 A9, in quarta $patium A16, in quinta $patium A25;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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5656 atque adeo $patia &aelig;qualibus quinque temporibus
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parents:
diff changeset
5657 confecta, habere $e ut quadrata quinque illorum
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parents:
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5658 temporum, ut ex appo$itis utrimque numeris ap-
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parents:
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5659 paret; $eu velocitatem de$cen$us aqu&aelig; cre$cere $e-
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parents:
diff changeset
5660 cund&ugrave;m progre$$ionem numerorum imparium,
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parents:
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5661 prout indicant numeri intra tubum notati; $eu
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parents:
diff changeset
5662 $patia confecta habere duplicatam rationem illius,
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parents:
diff changeset
5663 quam habent tempora, ut apparet $i conferas nu-
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casties
parents:
diff changeset
5664 meros externos lateris AB, cum numeris lateris
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casties
parents:
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5665 CD. Ratio e$t, quia aqua gravis e$t, &amp; intra tu-
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parents:
diff changeset
5666 bum naturali motu de$cendit, nullumque ade$t
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casties
parents:
diff changeset
5667 impedimentum motus; ergo imitari debet leges aliorum gra-
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parents:
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5668 vium naturali motu de$cendentium.
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casties
parents:
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5669 <C>Corollarium I.</C>
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casties
parents:
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5670 <p>COlligitur hinc prim&ograve;, Aquam &egrave; foramine B, tubi $emper
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parents:
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5671 <MARG><I>Leges aqu&aelig;
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casties
parents:
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5672 effluentis
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casties
parents:
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5673 per foram&etilde;
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casties
parents:
diff changeset
5674 tubi $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5675 pleni.</I></MARG>
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casties
parents:
diff changeset
5676 pleni, effluere tant&acirc; velocitate, quant&acirc; de$cendit ab A ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5677 B. Ratio e$t, quia ut $upponitur, tantum effluit per B, quan-
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parents:
diff changeset
5678 tum influit per A, &amp; &egrave; contrario tantum per A influit, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5679 tum per B effluit, &amp; in de$cen$u ab A ad B nulla fit inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5680 ruptio; ergo tam velociter effluit per B, qu&agrave;m velociter de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5681 $cendit ab A ad B.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5682 <pb n=124>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5683 <C>Corollarium II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5684 <p>COlligitur $ecund&ograve;, Aquam apud B, in utroque tubo, hoc e$t,
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casties
parents:
diff changeset
5685 $emper &amp; non $emper pleno, tant&acirc; $ol&ugrave;m vi premi prope
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5686 foramen B, quanta e$t vis $eu pondus aqu&aelig; &agrave; B u$que ad $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5687 premam aqu&aelig; $uperficiem, id e$t, column&aelig; aque&aelig; habentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5688 pro ba$i latitudinem foraminis B, pro altitudine perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5689 larem &agrave; B ad dictam $uperficiem. Ratio e$t, quia $ol&ugrave;m illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5690 columna premit $upra B, per dicta Propo$it. 1. Intellige, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5691 illa aliunde impetum recipiat, ut $i ip$i affunderetur aqua ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5692 tubo inclinato, $ive conjuncto, $ive di$iuncto.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5693 <C>Corollarium. III.</C>
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casties
parents:
diff changeset
5694 <p>COlligitur terti&ograve;, Leges pr&aelig;dictas de$cen$us gravium $ervari
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casties
parents:
diff changeset
5695 <MARG><I>Lex de$cen
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casties
parents:
diff changeset
5696 $us aqu&aelig; &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5697 tubo expli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5698 catur.</I></MARG>
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parents:
diff changeset
5699 ab aqua in tubo $emper pleno, de$cendendo ab A ad B, $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5700 l&ugrave;m in primo de$cen$u, non ver&ograve; in de$cen$u continuato; item
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casties
parents:
diff changeset
5701 $ol&ugrave;m &agrave; prima parte aqu&aelig; de$cendentis, n&otilde; &agrave; partibusip$i conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5702 guis &amp; $ub$equentibus. Explico De$cendat aqua ab A ad B, effi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5703 ciatque de$cen$us columnam aqueam AB, qu&aelig; dividatur in vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5704 ginti quinq; &aelig;quales partes $ecund&ugrave;m longitudinem $eu altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5705 dinem ab A ad B. Dico, $ol&ugrave;mvige$imam quintam partem, qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5706 e$t apud B, $ervare pr&aelig;dictam legem de$cen$us gravium cre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5707 $centis in velocitate $ecund&ugrave;m numeros impares ab unitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5708 numeratos; &amp; quidem illam $olam vige$imam quintam par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5709 tem, qu&aelig; e$t in prima columna aquea &agrave; de$cen$u aqu&aelig; for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5710 mata, non ver&ograve; qu&aelig; e$t in reliquis columnis $ub$equentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5711 Ratio e$t, quia c&ugrave;m nulla pars ex viginti quinque egrediatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5712 &egrave; foramine B, quin ingrediatur alia per orificium A priori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5713 &aelig;qualis; &amp; nulla tran$eat vige$imum quintum &amp; ultimum $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5714 tiolum lateris AB, quin eodem tempore tran$eat alia &aelig;qualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5715 primum $patiolum, &amp; alia $ecundum, &amp; alia tertium, ac reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5716 qua omma; nece$s&egrave; e$t ut omnes reliqu&aelig; partes e&acirc;dem velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5717 citate conficiant $ingula $patiola, qua velocitate ultima con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5718 ficit ultimum; &amp; e&acirc;dem velocitate unaqu&aelig;que pertran$eat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5719 $patiolum $ibi corre$pondens, qua velocitate ultima pars per-
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parents:
diff changeset
5720 tran$it ultimum $patiolum. Patet ergo propo$itum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5721 <pb n=125>
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parents:
diff changeset
5722 <C>Corollarium IV.</C>
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parents:
diff changeset
5723 <FIG>
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parents:
diff changeset
5724 <p>COlligitur quart&ograve;, Aquam &egrave; foramine B efflue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5725 <MARG><I>Aqua &egrave; tu-
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parents:
diff changeset
5726 bo e&ograve; velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5727 ci&ugrave;s effluit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5728 qu&ograve; altior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5729 e$t tubus.</I></MARG>
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parents:
diff changeset
5730 re e&ograve; majori velocitate, qu&ograve; altior fuerit tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5731 bus. Ratio e$t, quia qu&ograve; altior e$t tubus, e&ograve; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5732 jorem velocitatem adquirit prima pars aqu&aelig; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5733 $cendentis in $uo de$cen$u, &amp; con$equenter reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5734 qu&aelig; $ub$equentes; item qu&ograve; altior e$t tubus, e&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5735 altior e$t columna aquea premens apud B. ideo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5736 que e&ograve; vehementi&ugrave;s premit apud idem B. Vide
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5737 qu&aelig; diximus Propo$it. VI.
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casties
parents:
diff changeset
5738 <C>Corollarium V.</C>
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casties
parents:
diff changeset
5739 <p>COlligitur quint&ograve;, Aquam ex &aelig;qualibus tubis, quoad fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5740 <MARG><I>Aqua ex &aelig;-
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parents:
diff changeset
5741 qualibus tu-
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casties
parents:
diff changeset
5742 bis quoad o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5743 mnia, &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5744 li velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5745 te effluit,</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5746 mina &amp; altitudines, effluere &aelig;quali velocitate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5747 <C>Propo$itio X. Theorema II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5748 <C>Velocitates motus aqu&aelig; de$cendentis &amp; effluentis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5749 tubos &aelig;qualium foraminum, $ed in&aelig;qualium altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5750 dinum, habent $ubduplicatam rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5751 altitudinum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5752 <FIG>
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casties
parents:
diff changeset
5753 <p>ESto tubus AB altus uno pede, &amp; alius CD al-
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casties
parents:
diff changeset
5754 tus quatuor pedibus, $ed uterque &aelig;qualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5755 foraminum, $ive $emper, $ive non $emper pleni, &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5756 quibus effluat aqua in&aelig;quali velocitate, juxta di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5757 cta Propo$itione pr&aelig;cedente, Corollario IV. Dico,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5758 velocitates motus &amp; effluxus aquarum e$$e in $ub-
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casties
parents:
diff changeset
5759 duplicata ratione tuborum, hoc e$t, aquam per
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casties
parents:
diff changeset
5760 tubum CD de$cendere, &amp; effluere duplo velo-
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casties
parents:
diff changeset
5761 ci&ugrave;s, qu&agrave;m per tubum AB. Quoniam enim aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5762 <MARG><I>Proportio
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casties
parents:
diff changeset
5763 velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5764 motus aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5765 de$cenden-
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casties
parents:
diff changeset
5766 tis per tubos:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5767 in&aelig;quali&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5768 foraminum.</I></MARG>
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casties
parents:
diff changeset
5769 motus per tubos &aelig;mulatur leges gravium de$cen-
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diff changeset
5770 dentium motu naturali, per dicta Propo$it. IX.
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diff changeset
5771 pr&aelig;cedente, hoc e$t, cre$cit in velocitate $ecun-
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diff changeset
5772 <pb n=126>
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diff changeset
5773 <FIG>
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diff changeset
5774 d&ugrave;m progre$$ionem numerorumim parium ab un<*>
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diff changeset
5775 tate numeratorum; $i aqua in primo tempore d<*>
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5776 terminato, v.g. in primo minuto de$cendit &agrave; C i<*>
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diff changeset
5777 E, hoc e$t, ab A in B; in $ecundo minuto d<*>
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diff changeset
5778 $cendet ab E ad D, ac proinde in fine quarti pa<*>
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diff changeset
5779 mi mota erit duplo veloci&ugrave;s, qu&agrave;m in fine prin<*>
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diff changeset
5780 palmi; Ergo velocitas motus aqu&aelig; per tubum CI<*>
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diff changeset
5781 ad velocitatem aqu&aelig; per tubum AB, habet $ul<*>
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diff changeset
5782 duplicatam rationem altitudinum. Eadem e<*>
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diff changeset
5783 ratio in alijs in&aelig;qualibus altitudinibus, quamcu<*>
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diff changeset
5784 que habeant inter $e proportionem.
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diff changeset
5785 <C>Pori$ma.</C>
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diff changeset
5786 <p>TUbi ergo duplicatam habent rationem illius, quam haben<*>
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diff changeset
5787 velocitates motus de$cendentis, &amp; effluentis per ip$os aqu&aelig;<*>
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diff changeset
5788 <C>Propo$itio XI. Theorema III.</C>
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diff changeset
5789 <C>Cau$am a$$ignare, cur aqu&aelig; fluentes per tubos &aelig;qua
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diff changeset
5790 lium luminum, $ed in&aelig;qualium altitudinum, habeantra-
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diff changeset
5791 tionem $ubduplicatam altitudinum tuborum.</C>
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diff changeset
5792 <MARG><I>Proportio-
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diff changeset
5793 nis pr&aelig;dicta
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diff changeset
5794 cau$a.</I></MARG>
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diff changeset
5795 <p>QUod a$$eruimus Propo$it. VIII. huius capitis, demon$tran<*>
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diff changeset
5796 dum h&icirc;c e$t, utfidemibi obligatam $olvamus.
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diff changeset
5797 <p>Ratio igitur ad$ignati h&icirc;c &amp; ibi Ph&aelig;nomeni e$t, qu&ograve;d flu<*>
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diff changeset
5798 xus aqu&aelig; per foramen, $eu quantitas aqu&aelig; effluentis, pendet<*>
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diff changeset
5799 velocitate aqu&aelig; eiusdem de$cendentis per tubum, per dict<*>
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diff changeset
5800 Propo$it. IX. Corollario. I. Velocitas autem illa e$t $ubduplicata<*>
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diff changeset
5801 altitudinum, per dicta Propo$it. X; ergo &amp; quantitas aqu&aelig; efflu-
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diff changeset
5802 entis ex tubis in&aelig;qualium altitudinum $ubduplicata erit tubor&utilde;.
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diff changeset
5803 <C>Propo$itio XII. Theorema IV.</C>
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diff changeset
5804 <C>Tempora quibus &aelig;qualis aqu&aelig; quantitas &egrave; tubis &aelig;qua-
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diff changeset
5805 lium luminum, $ed in&aelig;qualium altitudinum effluit, ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5806 bent $ubduplicatam rationem tuborum.</C>
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parents:
diff changeset
5807 <MARG><I>Proportio
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diff changeset
5808 temporum
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diff changeset
5809 quibus a-
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parents:
diff changeset
5810 qua effluit &egrave;
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diff changeset
5811 tubis.</I></MARG>
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diff changeset
5812 <p>SItut antea tubus AB vnius, &amp; tubus CD quatuor pedum in
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diff changeset
5813 altitudine, $ed &aelig;qualium luminum, $ive $emper, $ive non $em-
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5814 <pb n=127>
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parents:
diff changeset
5815 per pleni; fluatque ex tubo AB vna libra aqu&aelig; $patio duorum
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diff changeset
5816 minutorum. Dico, eandem aquam effluere ex tubo CD $pa-
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diff changeset
5817 tio vnius minuti, e$$e&qacute;ue propterea tempus fluxus aqu&aelig; ex tubo
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diff changeset
5818 CD, ad tempus fluxus aqu&aelig; ex tubo AB, ut 1 ad 2, qu&aelig; e$t ratio
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parents:
diff changeset
5819 $ubduplicata tuborum. Ratio ex dictis patet. Quoniam enim
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diff changeset
5820 velocitates efflux&ucirc;s aqu&aelig; ex &aelig;quali lumine habent $ubduplica-
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diff changeset
5821 tam rationem tuborum, ut demon$travimus Propo$it. X, fluet in
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diff changeset
5822 dimidio temporis tantum ex tubo CD, quantum in toto tem-
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diff changeset
5823 pore ex tubo AB, po$ita &aelig;qualitate luminum; ac proinde in
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diff changeset
5824 toto tempore duplum effluet ex tubo CD. Eadem e$t ratio in
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diff changeset
5825 alijs tuborum &aelig;qualium luminum proportionibus.
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diff changeset
5826 <C>Pori$ma.</C>
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diff changeset
5827 <p>TUbi ergo quilibet &aelig;qualium luminum, $ed in&aelig;qualium alti-
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diff changeset
5828 <MARG><I>Proportio
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parents:
diff changeset
5829 tuborum <*>
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diff changeset
5830 tempora fl<*>
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diff changeset
5831 xus aqu&aelig;.</I></MARG>
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diff changeset
5832 tudinum, habent rationem duplicatam temporum, quibus
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diff changeset
5833 effluit &aelig;qualis aqu&aelig; quantitas.
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diff changeset
5834 <C>Propo$itio XIII. Theorema V.</C>
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5835 <C>Si tubi, $ive $emper pleni, $ive non $emper pleni, $int
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diff changeset
5836 eiu$dem altitudinis, $ed in&aelig;qualium foraminum, e$t eadem ra-
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diff changeset
5837 tio aqu&aelig; ad aquam, qu&aelig; foraminis ad foramen,
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diff changeset
5838 phy$ic&egrave; $eu ad $en$um.</C>
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5839 <p>ESt Mer$enni in hydraulicis Ph&aelig;nomenis Propo$it. IV. quem
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diff changeset
5840 <MARG><I>Proportio <*>
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parents:
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5841 qu&aelig; ad <*>
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parents:
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5842 qu&atilde; eadem.
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parents:
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5843 qu&aelig; forami-
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parents:
diff changeset
5844 num in tu-
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diff changeset
5845 bu &aelig;qu&egrave; <*>-
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diff changeset
5846 tis.</I></MARG>
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parents:
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5847 $equitur P. Andreas Tacquet in $uis hydraulicis Manu$cri-
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diff changeset
5848 ptis cap. 4. Ph&aelig;nomen. 7. Ratio e$t, qu&ograve;d licet ex maiori lu-
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parents:
diff changeset
5849 mine $eu foramine fluat eodem tempore maior aquea columna
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diff changeset
5850 qu&agrave;m ex minori, tant&ograve;que maior exillo qu&agrave;m ex hoc, quant&ograve;
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parents:
diff changeset
5851 fuerit maius lumen $eu foram&etilde; illud qu&agrave;m hoc, quoad aream, per
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diff changeset
5852 dicta Propo$it. 4. huius eapitis; tamen vtraque columna fluit
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5853 ex &aelig;quali altitudine tuborum &aelig;qu&acirc; velocitate phy$ic&egrave; &amp; ad
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5854 $en$um.
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5855 <p>Dixi phy$ic&egrave; &amp; ad $en$um, quia licet gravia eiusdem $pe-
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5856 ciei, $ed in&aelig;qualis molis ac ponderis, ab eodem ad eundem
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5857 <pb n=128>
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parents:
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5858 terminum non de$cendant &aelig;qu&egrave; velociter, revera &amp; mathema-
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5859 tic&egrave;, quemadmodum $entiunt Galil&aelig;us Dialogo 2. de Sy$tem.
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5860 Mundi, Ioannes Bapti$ta Balianus lib. 1. de motu naturali gravi-
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diff changeset
5861 um $olidorum in Pr&aelig;fat. Nicolaus Cab&aelig;us lib. 1. Meteoror. textu
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diff changeset
5862 17. q. 5. &amp; 6. Arriaga di$put. 4. de Generat. $ect. 5. $ub$ect. 3.
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diff changeset
5863 Ma$trius, Bellutus, &amp; alij (quod ego fal$um exi$timo, mathe.
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diff changeset
5864 matic&egrave; loquendo, cum Patre Ioanne Bapti$ta Ricciolo, qui
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diff changeset
5865 tom. 1. Almage$ti Novi lib. 2. cap. 21. Propo$it. 2. &amp; lib. 9. $ect. 4.
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5866 num. 24. a$$erit, <I>duorum gravium eiusdem $peciei &amp; figur&aelig; $ea in&aelig;-
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5867 qualis molis ac ponderis, ex eadem altitudine momento eodem dimi$-
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diff changeset
5868 $orum, illud naturali motu citi&ugrave;s de$cendere ad eundem terminum, quod
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diff changeset
5869 e$t gravius;</I> ubi etiam Experimenta multa diver$is annis coram
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diff changeset
5870 multis viris doctis incredibili diligenti&acirc; peracta Bononi&aelig; refert
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5871 num. 13.) tamen in parvis altitudinibus, quales $unt tuborum
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5872 in omni fer&egrave; ca$u, tam exigua e$t differentia velocitatum, ut pro
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diff changeset
5873 e&acirc;dem $eu &aelig;quali cen$eri merit&ograve; po$$it.
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diff changeset
5874 <C>Pori$ma I.</C>
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diff changeset
5875 <p>SEquitur hinc, tubos non $emper plenos, &aelig;quales quoad alti-
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diff changeset
5876 tudines, &amp; ba$es, in&aelig;quales tamen quoad foramina, evacua-
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diff changeset
5877 ri in&aelig;qualibus temporibus, hoc e$t, citi&ugrave;sillum, qui maius ha-
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diff changeset
5878 bet lumen; e$$e&qacute;ue tempora, quibus evacuantur, inter $e ut lu-
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diff changeset
5879 mina, hac tamen conditione, vt per foramen maius citi&ugrave;s efflu-
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diff changeset
5880 at tota aqua, qu&agrave;m per foramen minus, tanto&qacute;; citi&ugrave;s per majus,
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parents:
diff changeset
5881 qu&agrave;m per minus, quant&ograve; foramen maius $uperat minus. Atque
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diff changeset
5882 hoc e$t quod dicemus Propo$it. XVI. $equente, tempora $cili-
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diff changeset
5883 cetin dicto ca$u e$$e reciproc&egrave; vt lumina.
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parents:
diff changeset
5884 <C>Pori$ma II.</C>
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parents:
diff changeset
5885 <p>SEquitur pr&aelig;terea, ex tubis non $emper plenis, quorum &aelig;-
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diff changeset
5886 quales $unt altitudines, at in&aelig;quales ba$es, $ed tot&aelig; apert&aelig;,
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parents:
diff changeset
5887 effluere totam aquam &aelig;quali tempore; quandoquidem vtrobi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5888 que columna aquea, licet in&aelig;qualis ponderis ac molis, &aelig;qu&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5889 velociter de$cendit quoad $en$um, per idem $patium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5890 <pb n=129>
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parents:
diff changeset
5891 <C>Propo$itio XIV. Theorema VI.</C>
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parents:
diff changeset
5892 <C>Tubinon $emper pleni &aelig;qu&egrave; alti, &amp; &aelig;qualium. forami-
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parents:
diff changeset
5893 num, $ed in&aelig;qualium ba$ium, evacuantur in&aelig;qualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5894 temporibus; e$t&qacute;ue eadem ratio temporum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5895 qu&aelig; ba$ium.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5896 <p>PRimum patet per $e, quia c&aelig;teris omnibus paribus major a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5897 <MARG><I>Proportio
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parents:
diff changeset
5898 temporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5899 eadem qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5900 ba$ium tu-
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parents:
diff changeset
5901 bor&utilde;, quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5902 ad aqu&aelig; flu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5903 xum.</I></MARG>
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parents:
diff changeset
5904 qu&aelig; quantitas maius requirit tempus ad effluendum, qu&agrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5905 minor. Alterum demon$tratur, vel poti&ugrave;s explicatur $ic.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5906 <FIG>
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parents:
diff changeset
5907 <p>E$to tubus AB minoris ba$is, &amp; alius ACBD
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parents:
diff changeset
5908 majoris, uterque cylindricus, uterque &aelig;qu&egrave; altus, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5909 &aelig;qualis foraminis B; $itque diameter ba$is BD tripla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5910 diametri ba$is B: eritigitur area ba$is BD noncupla
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parents:
diff changeset
5911 are&aelig; ba$is B, quoniam circuli inter $e $unt, ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5912 drata diametrorum, per Propo$it. 2. lib. 12. Element.
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parents:
diff changeset
5913 Euclidis; quadratum aut&etilde; diametri BD triplo maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5914 ris diametro B, e$t nonies maius, qu&agrave;m quadratum
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parents:
diff changeset
5915 diametri B, ut ex Geometria practica patet. C&ugrave;m
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parents:
diff changeset
5916 igitur cylindri &aelig;qu&egrave; alti $int inter $e, ut illor&utilde; ba$es, ut
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parents:
diff changeset
5917 patet ex ead&etilde; Geomet. practica; $equitur, aquam tubi
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parents:
diff changeset
5918 ACBD e$$e noncuplam aqu&aelig; tubi AB; ac proinde
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parents:
diff changeset
5919 tempus quo exhauritur per foramen B tubus ACDB,
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parents:
diff changeset
5920 noncuplum erit temporis, quo exhauritur per idem
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parents:
diff changeset
5921 foramen B, tubus AB, quandoquid&etilde; cylindrus aqueus ACBD,
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parents:
diff changeset
5922 non magis premit $upra foram&etilde; B, qu&agrave;m cylindrulus aqueus AB,
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parents:
diff changeset
5923 per dicta Propo$it. II. in Corollario, &amp; Propo$it. VII. Annot. 2.
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parents:
diff changeset
5924 <C>Annotatio I.</C>
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parents:
diff changeset
5925 <p><I>MEr$ennus in Hydraulicis Ph&aelig;nomenis Propo$it.</I> 8. <I>ait, con$tare ex
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parents:
diff changeset
5926 <MARG>Mer$enni
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parents:
diff changeset
5927 ob$ervatio
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parents:
diff changeset
5928 in tuborum
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parents:
diff changeset
5929 evacuati-
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parents:
diff changeset
5930 one.</MARG>
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parents:
diff changeset
5931 ob$ervatione, tubum quadrupedalem, cuius ba$is digitalis, uno mi-
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parents:
diff changeset
5932 nuto temporis totum per lineare lumen exhauriri; tubum ver&ograve; quadru-
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parents:
diff changeset
5933 pedalem cuius ba$is pedalis, $patio</I> 144. <I>minutorum, $eu duabus horis, &amp;</I>
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parents:
diff changeset
5934 24. <I>minutis. Servatur erg&ograve; inter temporaratio ba$ium, vt demon$tra-
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parents:
diff changeset
5935 vimus: Nam c&ugrave;m pedis longitudo contineat, ex Mer$enni mente, ut
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parents:
diff changeset
5936 vidimus Propo$it. VII. huius Capitis Annot. I. digiti latitudinem</I>
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parents:
diff changeset
5937 <pb n=130>
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parents:
diff changeset
5938 <I>duodecies; continebit quadratum pedis quadrata digiti</I> 144. <I>ac proinde
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parents:
diff changeset
5939 ba$is pedalis ba$im digitalem centies quadragies quater continebit, <*>
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parents:
diff changeset
5940 diximus in Propo$itione.</I>
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parents:
diff changeset
5941 <C>Annotatio II.</C>
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parents:
diff changeset
5942 <MARG><I>P. Pauli Ca
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parents:
diff changeset
5943 $ati dubita-
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parents:
diff changeset
5944 tio contra
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parents:
diff changeset
5945 Mer$enni
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parents:
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5946 ob$ervatio-
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parents:
diff changeset
5947 nem.</I></MARG>
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parents:
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5948 <p><I>ACuti$$im&egrave; notavit h&icirc;c P.Paulus Ca$atus in cen$ura huius Operis, po$-
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parents:
diff changeset
5949 $e dubitari de veritate huius Propo$itionis</I> 14. <I>&amp; po$$e aliquem $u$pi-
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parents:
diff changeset
5950 cari, an experimentum allatum &agrave; Mer$enno $it in gratiam Propo$itionis
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parents:
diff changeset
5951 confictum.</I> Ratio dubitandi e$t, <I>inquit,</I> quia quo tempore par-
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diff changeset
5952 vulus tubus AB exhauritur, ex maiori tubo ABCD effluit maior
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diff changeset
5953 aqu&aelig; quantitas eodem tempore, quia $cilicet effluit in progre$$u
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diff changeset
5954 maiori velocitate ex maiori, qu&agrave;m ex minori: nam in majore
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diff changeset
5955 tubo e$t maius aqu&aelig; perpendiculum in progre$$u. Fac enim in
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diff changeset
5956 minori de$cendi$$e $emi$$em; aqu&aelig; altitudo e$t $ol&ugrave;m dimidia
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diff changeset
5957 totius altitudinis: fac ex majori eodem tempore de$cendi$$e &aelig;-
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diff changeset
5958 qualem aquam, hoc e$t (quia maior ad minorem e$t ut 9. ad 1.)
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diff changeset
5959 (1/18) totius aqu&aelig;; ergo remanet altitudo aqu&aelig; in majori (17/18) totius
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parents:
diff changeset
5960 altitudinis; ergo plus aqu&aelig; effluet vbi maior e$t velocitas ratione
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diff changeset
5961 maioris perpendiculi. Debet igitur h&aelig;c ratio conciliari cum
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diff changeset
5962 experimento; &amp; opus e$$et o$tendere, quomodo, licet id veri-
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diff changeset
5963 ficetur in priotibus cylindrulis aqu&aelig; effluentibus, tamen maior
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diff changeset
5964 illa velocitas priorum compen$entur maiori tarditate po$terio-
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diff changeset
5965 rum qui habent minus perpendiculum.
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diff changeset
5966 <p>Hocidem dicitur de Propo$itione 16, in qua con$ideratur
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diff changeset
5967 columna vt duodecupla minoris, nulla habita ratione qu&ograve;d in
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diff changeset
5968 progre$$u de$cen$us fiunt altitudines valde in&aelig;quales: neque vi-
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diff changeset
5969 detur valere illa argumentatio, facta pr&aelig;ci$ione per intellectum;
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diff changeset
5970 nam $ermo e$t de re prout &agrave; parte rei. <I>H&aelig;c P. Ca$atus. Nolui ego
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5971 in dubium revocare experimentum Mer$enni, quoniam id nefas exi$ti-
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diff changeset
5972 mavi; nec experimenti cau$am indagare, ac mult&ograve; min&ugrave;s demon$tra-
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diff changeset
5973 tionem afferre, quoniam id ad propo$itum meum nihil conducit.
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diff changeset
5974 Ratio tamen huius rei $ine dubio refundenda e$t in illam,
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diff changeset
5975 quam ip$emet Ca$atus in$inuavit.</I>
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5976 <pb n=131>
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diff changeset
5977 <C>Propo$itio XV. Ph&aelig;nomenon. IX.</C>
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5978 <C>Tempora quibus deplentur tubi non $emper pleni &aelig;que
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diff changeset
5979 lati, $ed non &aelig;qu&egrave; alti, per &aelig;qualia foramina, $untin al-
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diff changeset
5980 titudinum ratione $ubduplicata.</C>
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diff changeset
5981 <p>COn$tat enim ex ob$ervatione, inquit Mer$ennus in Hydrau-
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5982 <MARG><I>Proportio
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5983 temporum
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parents:
diff changeset
5984 aqu&aelig; fluxus
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diff changeset
5985 ex tubis, ad
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diff changeset
5986 eorum alti-
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diff changeset
5987 tudinem.</I></MARG>
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diff changeset
5988 licis Ph&aelig;nomenis Propo$it. IX. tubum pedalem 30 $ecundis,
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diff changeset
5989 quadrupedalem ver&ograve; latitudinis eiusdem 60 $ecundis, per fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
5990 men lineare, totum exhauriri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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5991 <C>Corollarium I.</C>
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5992 <p>HInc colligitur prim&ograve;, tuborum altitudines e$$e in ratione
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5993 duplicata temporum, quibus deplentur &aelig;qualia lumina, vt
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5994 diximus etiam in Pori$mate Propo$itionis XII. pr&aelig;cedentis.
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5995 <C>Corollarium <I>II</I></C>
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5996 <p>COlligitur $ecund&ograve;, tam tubos non $emper plenos, qu&agrave;m tu-
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diff changeset
5997 bos $emper plenos, juxta eandem rationem tribuere aquas
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5998 ex &aelig;qualibus foraminibus, juxta dicta hac, &amp; octava Propo-
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5999 $itione.
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6000 <C>Propo$itio XVI. Theorema VII.</C>
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6001 <C>Tempora quibus evacuantur tubi non $emper pleni $i-
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diff changeset
6002 miles, &amp; &aelig;quales quoad altitudines &amp; ba$es, per lumina $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
6003 in&aelig;qualia, $unt reciproc&egrave; vt lumina.</C>
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6004 <p>PRopo$itio intelligenda e$t in eo $en$u, quem explicavimus
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6005 in Porismate 1. Propo$it. 13. pr&aelig;cedentis.
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6006 <p>Sint itaque tubi cylindrici ABFQ, $imiles, &amp; &aelig;quales in
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6007 <MARG><I>Proportio
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6008 temporum
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parents:
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6009 effluxus a-
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parents:
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6010 qu&aelig; ad fora
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6011 mina tubo-
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6012 rum.</I></MARG>
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6013 altitudinibus, humido pleni, quorum lumina $int EC, KN, cir-
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parents:
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6014 cularia, at in&aelig;qualia (eadem e$t ratio de tubis pri$maticis, &amp;
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diff changeset
6015 foraminibus quadratis, alteriusv&egrave; Figur&aelig;;) $itque lumen $eu
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diff changeset
6016 foramen KN duodecies maius quoad aream, qu&agrave;m lumen EC.
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diff changeset
6017 Dico, tempus quo exhauritur tubus AB, per lumen EC, e$$e
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6018 ad tempus, quo exhauritur tubus FQ, per lumen KN, ut e$t
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diff changeset
6019 reciproc&egrave;lumen KN ad lumen EC; id e$t, tant&ograve; pl&ugrave;s tempo-
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6020 ris requiri ut exhauriatur tubus AB, per foramen EC, qu&agrave;m
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6021 <pb n=132>
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6022 <FIG>
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parents:
diff changeset
6023 tubus FQ, per foramen KN, quant&ograve;
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parents:
diff changeset
6024 maius e$t lumen KN, qu&agrave;m lum&etilde; EC,
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parents:
diff changeset
6025 nempe duodecies pl&ugrave;s.
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parents:
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6026 <p>Ad hoc o$tendendum, intelligan-
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parents:
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6027 tur $uper luminibus EC, KN, tanqu&atilde;
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parents:
diff changeset
6028 $uper ba$ibus, cylindri DC, LN, eju$d&etilde;
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parents:
diff changeset
6029 altitudinis cum cylindricis tubis AB, FQ.
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parents:
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6030 Patet ex dictis Propo$it. XIII. pr&aelig;ce-
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parents:
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6031 dente, Porismate 2, hos duos tubos
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parents:
diff changeset
6032 DC, LN, per lumina EC, KN, eodem
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parents:
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6033 $eu &aelig;quali tempore exhauriri. Iam $ic.
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parents:
diff changeset
6034 Per Propo$itionem XIII, huius capi-
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parents:
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6035 tis, aqua qu&aelig; effluit ex tubo FQ, per
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parents:
diff changeset
6036 lumen KN, e$t ad aquam, qu&aelig; eodem
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parents:
diff changeset
6037 $eu &aelig;quali tempore effluit ex tubo AB,
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parents:
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6038 per foramen EC, ut foramen KN ad foramen EC;
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6039 hoc e$t, eodem $eu &aelig;quali tempore, quo ex lumine EC effluit
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6040 una columna aquea DC, effluunt ex lumine KN duodecim
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parents:
diff changeset
6041 column&aelig; aque&aelig; DC: Ergo dum ex lumine KN effluxit tota
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parents:
diff changeset
6042 aqua tubi FQ, effluxit ex lumine EC $ol&ugrave;m duodecima
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parents:
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6043 pars aqu&aelig; tubi AB; ac proinde tant&ograve; pl&ugrave;s temporis requiritur,
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casties
parents:
diff changeset
6044 ut evacuetur tubus AB per lumen EC, qu&agrave;m ut evacuetur
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casties
parents:
diff changeset
6045 tubus FQ per lumen KN, quant&ograve; maius e$t lumen KN qu&agrave;m
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casties
parents:
diff changeset
6046 lumen EC. Ergo tempora $unt reciproc&egrave; ut lumina.
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casties
parents:
diff changeset
6047 <C>Pori$ma.</C>
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casties
parents:
diff changeset
6048 <p>SEquitur hinc, etiam conver$am e$$e veram, nempe lumina,
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casties
parents:
diff changeset
6049 per qu&aelig; evacuantur tubi pr&aelig;dicti, e$$einter $e ut reciproc&egrave;
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casties
parents:
diff changeset
6050 tempora, quibus evacuantur: Vnde data ratione tempor&utilde;, da-
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casties
parents:
diff changeset
6051 bitur ratio lumin&utilde;; $icut &egrave; contrario, data ratione lumin&utilde;, datur
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parents:
diff changeset
6052 ratio temporum $eu duration&utilde;, quibus evacuantur pr&aelig;dicti tubi.
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casties
parents:
diff changeset
6053 <C>Propo$itio XVII. Problema I.</C>
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casties
parents:
diff changeset
6054 <C>Datis altitudine &amp; foramine tubi $emper pleni, invenire
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parents:
diff changeset
6055 quantitatem aqu&aelig; quam dato tempore effundat; vel, datis ij$d&etilde;,
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casties
parents:
diff changeset
6056 invenire magnitudinem ci$tern&aelig; qu&aelig; dato tempore
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casties
parents:
diff changeset
6057 repleatur.</C>
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casties
parents:
diff changeset
6058 <pb n=133>
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casties
parents:
diff changeset
6059 <FIG>
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casties
parents:
diff changeset
6060 <p>SUppono h&icirc;c id, quod notavi $upr&agrave; Pro-
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casties
parents:
diff changeset
6061 po$it. XIII. tam exiguam e$$e differen-
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casties
parents:
diff changeset
6062 tiam inter velocitates aquarum ex tubis
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casties
parents:
diff changeset
6063 eiusdem altitudinis, &amp; diver$orum fora-
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casties
parents:
diff changeset
6064 minum, effluenti&utilde;, ut cen$eri merit&ograve; po$-
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parents:
diff changeset
6065 $it, aquam ad aquam e$$e, utforamen ad
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casties
parents:
diff changeset
6066 foramen. Quo po$ito.
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casties
parents:
diff changeset
6067 <MARG><I>Data alti-
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parents:
diff changeset
6068 tudine &amp;
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parents:
diff changeset
6069 foramine tu
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casties
parents:
diff changeset
6070 bi, invenire
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casties
parents:
diff changeset
6071 aqu&aelig; quan-
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casties
parents:
diff changeset
6072 titatem da-
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parents:
diff changeset
6073 to tempore
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casties
parents:
diff changeset
6074 effluentem.</I></MARG>
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parents:
diff changeset
6075 <p>Sit, exempli gratia, altitudo tubi
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casties
parents:
diff changeset
6076 ADB pedum 64, luminis $eu foraminis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6077 diameter DB digitalis, tempus hora una.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6078 Oporteat igitur reperire, quantum aqu&aelig;
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casties
parents:
diff changeset
6079 tribuat, $eu quantam ci$ternam impleat,
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casties
parents:
diff changeset
6080 pr&aelig;dictus tubus, intra unam horam. So-
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casties
parents:
diff changeset
6081 lutio pendet ex dictis Propo$it. VII. XIII.
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6082 &amp; VIII. &amp; pr&aelig;terea ex Propo$it. 2. lib. 12. Eu-
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casties
parents:
diff changeset
6083 clidis. Igitur tubum 4 pedes altum, &amp;
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casties
parents:
diff changeset
6084 luminis linearis, repr&aelig;$entet CPK. Ex
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casties
parents:
diff changeset
6085 tubo ADB. $ume EDB portionem eti&atilde;
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casties
parents:
diff changeset
6086 4 pedes altam. Et quoniam diameter DB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6087 digitalis, e$t ad linearem PK, ut 12 ad 1;
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casties
parents:
diff changeset
6088 eritper Propo$it. $ecundam lib. 12. Eucli-
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casties
parents:
diff changeset
6089 dis, lumen DB ad lumen KP, utquadra-
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casties
parents:
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6090 tum diametri DB, ad quadratum diame-
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casties
parents:
diff changeset
6091 tri PK, hoc e$t, ut 144 ad 1. Quare c&ugrave;m
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casties
parents:
diff changeset
6092 per Propo$it. XIII. pr&aelig;cedentem, in tubis
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casties
parents:
diff changeset
6093 &aelig;qu&egrave; altis &amp; $emper plenis, $ed in&aelig;quali-
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casties
parents:
diff changeset
6094 um luminum, aqua ab uno effu$a, fit ad a-
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casties
parents:
diff changeset
6095 quam ab altero effu$am, tempore eodem,
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casties
parents:
diff changeset
6096 utlumen ad lumen; dabit EDB. centies
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casties
parents:
diff changeset
6097 quadragies quater plus aqu&aelig;, qu&agrave;m det
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casties
parents:
diff changeset
6098 eodem tempore tubus CPK: Sed tubus
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casties
parents:
diff changeset
6099 CPK, per Propo$it. VII. pr&aelig;cedentem,
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parents:
diff changeset
6100 $patio tredecim $ecundorum temporis dat
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casties
parents:
diff changeset
6101 unam libram aqu&aelig;: Ergo tubus EDB
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casties
parents:
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6102 <pb n=134>
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casties
parents:
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6103 <FIG>
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casties
parents:
diff changeset
6104 $patio tredecim $ecundorum tomporis da-
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casties
parents:
diff changeset
6105 bit 144 libras. Quoni&atilde; autem in una hora,
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casties
parents:
diff changeset
6106 $eu in 60. minutis primis, hoc e$t, in 3600
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parents:
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6107 minutis $ecundis, tredecim $ecunda con-
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parents:
diff changeset
6108 tinentur ducenties $eptuagies $exies, rema-
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parents:
diff changeset
6109 nentque <*>, $ive (facilioris calculi gratia)
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parents:
diff changeset
6110 ducenties $eptuagies $epties; $i 144 libras,
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casties
parents:
diff changeset
6111 quas tredecim $ecundis dat tubus EDB,
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casties
parents:
diff changeset
6112 multiplices per 277, fient fer&egrave; 39888. li-
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casties
parents:
diff changeset
6113 br&aelig;, quas hor&aelig; $patio fundit tubus EDB.
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casties
parents:
diff changeset
6114 Inveniatur iam inter 64, altitudinem nem-
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casties
parents:
diff changeset
6115 pe tubi ADB, &amp; inter 4, altitudinem ni-
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parents:
diff changeset
6116 mirum portionis EDB, media proporti-
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casties
parents:
diff changeset
6117 onalis 16. Quoniam igitur per Propo$it.
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casties
parents:
diff changeset
6118 VIII. pr&aelig;cedentem, aqu&aelig; quas tubi ADB,
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casties
parents:
diff changeset
6119 &amp; EDB $emper pleni, eodem tempore
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casties
parents:
diff changeset
6120 fundunt, $unt in $ubduplicata ratione eius
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casties
parents:
diff changeset
6121 quam habent altitudines ADB, &amp; EDB;
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casties
parents:
diff changeset
6122 erit aqua quam hor&aelig; $patio dat tubus
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parents:
diff changeset
6123 EDB, ad aquam quam eodem tempore
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casties
parents:
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6124 dabit tubus ADB, ut 4 ad 16, $eu ut 1 ad 4.
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casties
parents:
diff changeset
6125 Itaque $i fiat, ut 1 ad 4, ita 39888 (tot enim
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casties
parents:
diff changeset
6126 aqu&aelig; libras iam o$tendimus hor&aelig; $patio
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casties
parents:
diff changeset
6127 dare tubum EDP) ad alium numerum,
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casties
parents:
diff changeset
6128 nempe ad 159552, quot hic continet vni-
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casties
parents:
diff changeset
6129 tates, tot aqu&aelig; libras hor&aelig; $patio dabit tu-
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casties
parents:
diff changeset
6130 bus ABD $emper plenus, lumen habens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6131 digitale, altitudinem pedum 64; atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6132 adeo tubus pr&aelig;dictus implebit hor&aelig; $pa-
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casties
parents:
diff changeset
6133 tio ci$ternam capacem librarum
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casties
parents:
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6134 aqu&aelig; 159552.
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casties
parents:
diff changeset
6135 <pb n=135>
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casties
parents:
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6136 <C>Annotatio.</C>
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casties
parents:
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6137 <MARG><I>Pari$ien$es
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casties
parents:
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6138 libra</I> 72. <I>ef-
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casties
parents:
diff changeset
6139 ficiunt pe-
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diff changeset
6140 dem cubis&utilde;
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diff changeset
6141 aqu&aelig;.</I></MARG>
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6142 <p><I>MEr$ennus ait, heminas $eu libras Pari$ien$es</I> 72. <I>efficere pedem
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diff changeset
6143 cubicum aqu&aelig;. Itaque $i placet pr&aelig;dictas libras ad pedes cubi-
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6144 cos reducere, divide numerum</I> 159552 <I>per</I> 72, <I>&amp; quotiens</I> 2216 <I>da-
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diff changeset
6145 bit aqu&aelig; pedes cubicos quos hor&aelig; $patio fundet tubus</I> ADB.
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6146 <C>Propo$itio XVIII. Problema II.</C>
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6147 <C>Datis altitudine &amp; lumine tubi $emper pleni, invenire
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6148 tempus quo datam aqu&aelig; quantitatem effundat, $i-
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6149 ve quo datam ci$ternam impleat.</C>
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diff changeset
6150 <p>SIt tubus $emper plenus ADB, v.g. 16 pedes altus, lumen
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6151 <MARG><I>Data alti-
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diff changeset
6152 tudine &amp;
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6153 foramine
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diff changeset
6154 tubi, inve-
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6155 nire tempus
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6156 quo data a-
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6157 qua effluit.</I></MARG>
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diff changeset
6158 habens digitale DB; $it ver&ograve; quantitas aqu&aelig; &agrave; tubo ADB
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6159 effundend&aelig;, aut ci$terna ab eodem replenda, 3000 pedum cu-
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6160 bicorum. Oporteat invenire tempus quo dictam aquam ef-
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6161 fundat, aut dictam ci$ternam impleat.
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6162 <p>Revocentur prim&ograve; 3000 pedes cubici aqu&aelig; ad heminas
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6163 <FIG>
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6164 $eu libras (quod fiet, $i 3000 multiplica-
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6165 bis per 72. fiatq, numerus librarum 216000,
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6166 (quandoquidem unus pes cubicus conficit
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6167 72 libras, ut diximus Propo$it: pr&aelig;ceden-
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6168 te in Annotat:) Deinde $umatur ex ADB,
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6169 tubus quadrupedalis EDB: Demum inter
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6170 ADB altitudinem, id e$t, 16, &amp; EDB alti-
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6171 tudinem, id e$t, 4, inveniatur medius nu-
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6172 merus proportionalis 8. Igitur, per Pro-
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6173 po$it. VIII. pr&aelig;cedentem, aqua fluens per
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6174 tubum EDB, e$t ad aquam per tubum
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6175 ADB eodem tempore fluentem, ut 4 ad 8,
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6176 in ratione videlicet $ubduplicata altitudi-
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6177 num EDB 4 pedum, &amp; ADB 16 pedum.
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6178 Quo ergo tempore dat tubus ADB 3000
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6179 pedes cubicos aqu&aelig;, id e$t, 216000 hemi-
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6180 nas $eu libras; eodem tempore EDB dabit dupl&ograve; minus, $eu
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6181 <pb n=136>
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6182 <FIG>
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6183 heminas $ol&ugrave;m 108000. A$$umatur jam,
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6184 ut antea, tubus quadrupedalis CPK lu-
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6185 minis linearis. Tubi EDB, CPK, $unt &aelig;-
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6186 qu&egrave; alti; &amp; lumina DB, PK, dantur, per <*>
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6187 Propo$it. lib. 12. Euclid. nempe 1, &amp; 144
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diff changeset
6188 line&aelig; quadrat&aelig;; aqua etiam quam CPK
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6189 fundit$patio 13 $ecundorum, datur, per VII.
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6190 pr&aelig;cedentem, una nimirum libra: Qua-
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6191 re c&ugrave;m quantitates aqu&aelig; &agrave; tubis &aelig;qu&egrave; al-
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6192 tis eodem tempore effu$&aelig; $int ut lumina,
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6193 per Propo$it. XIII. pr&aelig;cedentem, $i fiat ut
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6194 lumen PK, ad lumen DB, id e$t, ut 1 ad
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6195 144, ita aqua unius ad aquam alterius; pro-
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6196 ducetur numerus heminarum $eu libra-
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6197 rum, quas effundit tubus EDB $patio tre-
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6198 decim $ecundorum, nempe 144. Quo-
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6199 niam igitur tubus EDB 144 libras dat $patio tredecim $ecundo-
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6200 rum; libras 108000 quanto tempore dabit? Fiat, ut 144 libr&aelig;
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6201 ad <*> hoc e$t, ad tredecim $ecunda, ita 108000 ad 9750; dabit
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parents:
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6202 hic numerus $ecunda, quibus tubus EDB dat libras 108000.
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diff changeset
6203 Sed o$ten$um e$t $upr&agrave;, quo tempote tubus EDB dat 108000
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6204 libras, tubum ADB dare libras 216000, id e$t, 3000 pedes cu-
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diff changeset
6205 bicos aqu&aelig;; Inventum e$t igitur tempus, quo tubus ADB $em-
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6206 per plenus fundit datam aquam 3000 pedum cubicorum, nem-
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6207 pe 9750 $ecunda, $eu 162 prima; qu&aelig; faciunt horas 2, &amp; 42
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6208 minuta prima.
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6209 <C>Propo$itio XIX. Problema III.</C>
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6210 <C>Datis tempore, quantitate aqu&aelig;, $eu Ci$tern&acirc;, &amp; lu-
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6211 mine tubi, invenire altitudinem tubi, qui $emper
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6212 plenus ci$ternam dato tempore repleat.</C>
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6213 <MARG><I>Dato tem-
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6214 pore, &amp;
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6215 quantitate
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parents:
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6216 aqu&aelig;, inve-
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6217 nire tubum
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6218 ex quo ef-
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6219 fluat.</I></MARG>
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6220 <p>SIt datum tempus unius hor&aelig; &amp; 21 minutorum primorum,
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6221 aqua data 3000 pedum cubicorum, $eu 216000 librarum
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6222 capax ci$terna, &amp; lumen $eu foramen tubi digitale, $eu duo-
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6223 <pb n=137>
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6224 decim linearum. Oporteat invenire altitudinem tubi qui un&acirc;
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6225 hor&acirc; &amp; 21 minutis primis ex foramine digitali ejiciat 216000
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parents:
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6226 libras aqu&aelig;, $eu repleat ci$teruam 3000 pedum cubicorum.
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parents:
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6227 <p>Quoniam tubus quadrupedalis, cujus lumen digitale, eji-
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6228 cit tredecim $ecundorum $patio libras 144, ut vidimus Pro-
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6229 po$it. XVII. pr&aelig;cedente, &amp; idem tubus $patio duarum hora-
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6230 rum, ac 42 minutorum primorum ejicit libras 108000, ut vi-
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6231 dimus Propo$it. XVIII. pr&aelig;cedente; ergo duplum hujus aqu&aelig;,
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6232 hoc e$t, libr&aelig; 216000, ejicientur &agrave; tubo eju$dem luminis alto
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diff changeset
6233 pedes 16. e&ograve; qu&ograve;d tuborum &aelig;qualium foraminum altitudines
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casties
parents:
diff changeset
6234 debeant e$$e in duplicata ratione aquarum, ut duplo pl&ugrave;s aqu&aelig;
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casties
parents:
diff changeset
6235 eodem tempore fundant, prout diximus Propo$it. VIII. Pori-
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casties
parents:
diff changeset
6236 $mate 1. Ut ver&ograve; eadem aqua effluat ex tubo eju$dem fora-
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casties
parents:
diff changeset
6237 minis duplo veloci&ugrave;s, hoc e$t, intra horam unam, minuta 21;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6238 debet tubus e$$e altus pedes 64, ut patet ex Pori$mate Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6239 $it. X. &amp; XII.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6240 <C>Pori$ma.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6241 <p>SImili ratione datis tempore, ci$terna, &amp; altitudine tubi, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6242 venitur foramen tubi, qui ci$ternam datam repleat in illo
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casties
parents:
diff changeset
6243 tempore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6244 <C>Propo$itio XX. Problema IV.</C>
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casties
parents:
diff changeset
6245 <C>Dato Va$e, &amp; foramine per quod effluit aqua,
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casties
parents:
diff changeset
6246 invenire tempus quo evacuatur.</C>
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casties
parents:
diff changeset
6247 <p>SIt datum vas pri$maticum ABCD, cujus tam longitudo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6248 <MARG><I>Dato va$e,
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casties
parents:
diff changeset
6249 &amp; forami-
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diff changeset
6250 ne, inveni-
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parents:
diff changeset
6251 re tempus
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casties
parents:
diff changeset
6252 quo evacua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6253 tur.</I></MARG>
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casties
parents:
diff changeset
6254 qu&agrave;m latitudo $it decem pedum, altitudo vero 16 pedum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6255 ac proinde capacitas totius va$is $it 1600 pedum cubicorum,
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parents:
diff changeset
6256 ba$is ver&ograve; $it 100 pedum quadratorum; lumen denique $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6257 foramen E in fundo va$is $it digitale. Oporteat invenire tem-
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parents:
diff changeset
6258 pus quo dictum vas, $i aqu&acirc; fuerit plenum, per lumen E eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6259 cuetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6260 <pb n=138>
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parents:
diff changeset
6261 <FIG>
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parents:
diff changeset
6262 <p>Con$tat ex dictis Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6263 po$it. XIV. in Annotat. tu-
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casties
parents:
diff changeset
6264 bum quadrupedalem, cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6265 jus ba$is pedalis, &amp; lumen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6266 lineare, $patio 144. minu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6267 torum, $eu duabus horis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6268 &amp; 24 minutis, totum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6269 hauriri, $i non $it $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6270 plenus. Con$tat pr&aelig;terea
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parents:
diff changeset
6271 ex eadem Propo$itione,
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parents:
diff changeset
6272 tubos non $emper plenos,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6273 &aelig;qu&egrave; altos, &amp; &aelig;qualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6274 foraminum, $ed in&aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6275 lium ba$ium, evacuari in-
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parents:
diff changeset
6276 &aelig;qualibus temporibus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6277 &amp; tempora quibus evacuantur, e$$e inter $e, vt ba$es. A$$uma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6278 tur igitur tubus pri$maticus quadrupedalis KL, ba$im habens
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casties
parents:
diff changeset
6279 pedalem, &amp; lumen lineare. A$$umatur pr&aelig;terea ex va$e dato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6280 ABCD, pars CFDH alta pedes quatuor, ba$$im habens ean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6281 dem cumtoto va$e centum pedum, lumen ver&ograve; 1 lineare. Quo-
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casties
parents:
diff changeset
6282 niam igitur, per Propo$itionem XIV. dictam, tempora quibus
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casties
parents:
diff changeset
6283 vas CFDH, &amp; tubus KL exhauriuntur per lumen lineare, $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6284 inter $e ut ba$es ip$orum; ba$es autem ex hypothe$i habent pro-
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casties
parents:
diff changeset
6285 portionem ut 100. ad 1; nece$$e e$t, tempus quo evacuatur vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6286 CFDH per lineare lumen 1, ad tempus quo evacuatur tubus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6287 KL per lumen etiam lineare, e$$e ut 100 ad 1. Quare c&ugrave;m tu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6288 bus KL per lineare lumen evacuetur $patio 144 minutorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6289 ut vidimus; evacuabitur vas CFDH, per lineare lumen 1, $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6290 tio 14400 minutorum, (tot enim producuntur, $i 144 multi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6291 plicentur per 100) $eu horarum 240, vel dierum decem. Iam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6292 ver&ograve; quoniam per Propo$it. XVI. tempus quo effluitaqua ex va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6293 $e CFDH per lumen digitale E, ad tempus quo effluit eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6294 aqua ex eodem va$e per lumen lineare 1, e$t reciproc&egrave;, $icut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6295 e$t foramen 1 ad foramen E, nempe ut 1 ad 144; $i dividatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6296 <pb n=139>
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casties
parents:
diff changeset
6297 tempus quo effluit aqua per foramen 1, nempe 14400 minuta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6298 per 144; hoc e$t, $i accipiatur cente$ima quadrage$ima quarta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6299 pars minutorum 14400, nempe minuta 100; habebitur tem-
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casties
parents:
diff changeset
6300 pus quo exhauritur vas CFDH, per digitale lumen E. Tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6301 dem quoniam per Propo$it. XV. pr&aelig;cedentem, tempora qui-
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casties
parents:
diff changeset
6302 bus deplentur va$a ABCD, CFDH. &aelig;qualium ba$ium, $ed non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6303 &aelig;qualium altitudinum, per idem foramen E, $unt in $ubdu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6304 plicata ratione altitudinum, nempe pedum 4, &amp; pedum 16;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6305 $i inter 4 &amp; 16 inveniatur medius numerus proportionalis, nem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6306 pe 8; erit tempus quo evacuatur vas CFDH, per lumen digita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6307 le E, nimirum 100 minutorum, ad tempus quo evacuatur vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6308 ABCD per idem lumen digitale E, ut 4 ad 8, $eu ut 1 ad 2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6309 nempe ut minuta 100, ad minuta 200, qu&aelig; efficiunt horas 3.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6310 min. 20.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6311 <C>Annotatio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6312 <p><I>QVod diximus de va$e pri$matico, debet etiam intelligi de cylindrico,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6313 &amp; cuiuscunque alterius figur&aelig;; $ed tunc a$$umi debet tubus quadru-
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casties
parents:
diff changeset
6314 pedalis va$i $imilis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6315 <C>Propo$itio XXI. Problema V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6316 <C>Dato va$e, &amp; tempore, invenire foramen per quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6317 evacuetur tempore dato.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6318 <p>SIt data ci$terna A, 1600. pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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6319 <table>
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casties
parents:
diff changeset
6320 <TR><TD ALIGN="CENTER">ci$t.</TD><TD ALIGN="CENTER">temp.</TD><TD ALIGN="CENTER">temp.</TD></TR>
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6321 <TR><TD ALIGN="CENTER">-----</TD><TD ALIGN="CENTER">-----</TD><TD ALIGN="CENTER">-----</TD></TR>
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casties
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6322 <TR><TD ALIGN="CENTER">A</TD><TD ALIGN="CENTER">B</TD><TD ALIGN="CENTER">C</TD></TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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6323 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6324 <MARG><I>Dato va$e
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casties
parents:
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6325 &amp; tempore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6326 invenire
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6327 foramen.</I></MARG>
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diff changeset
6328 dum cubicorum; &amp; tempus
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diff changeset
6329 B, quo evacuandum e$t totum,
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diff changeset
6330 $it horarum 40 &amp; minutorum
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diff changeset
6331 16; $itque inveniendum foramen, per quod evacuetur ci$ter-
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diff changeset
6332 na A data, in tempore B dato. A$$umatur quodvis lumen $eu
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diff changeset
6333 foramen not&aelig; magnitudinis, v.g. lineare; &amp; per Propo$itionem
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diff changeset
6334 XX. pr&aelig;cedentem inveniatur tempus C, quo ci$terna A hu-
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diff changeset
6335 mido plena, evacuetur tota per lumen lineare. Quoniam igi-
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6336 tur, per Propo$it. XVI. pr&aelig;cedentem, tempora quibus evacuan-
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diff changeset
6337 tur va$a non $emper plena, $imilia, &amp; &aelig;qualia quoad altitudinem
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diff changeset
6338 <pb n=140>
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casties
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diff changeset
6339 &amp; ba$es, per lumina $imilia in&aelig;qualia, $unt reciproc&egrave; ut lumina;
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6340 &amp; &egrave; contrario, lumina pr&aelig;dictorum va$orum $unt reciproc&egrave; ut
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diff changeset
6341 tempora, quibus evacuantur, ut diximus in Pori$mate dict&aelig;
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diff changeset
6342 Propo$itionis XVI; $i fiat ut tempus B, ad tempus C, quo per
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diff changeset
6343 lineare lumen effluit ci$terna A, ita lumen lineare ad aliud;
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diff changeset
6344 hoc ip$um erit lumen quod qu&aelig;rebatur.
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6345 <C>Propo$itio XXII. Problema VI.</C>
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6346 <C>Altitudinem $caturiginis dati fontis per tubos
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6347 fluentis invenire.</C>
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6348 <MARG><I>Altitudin&etilde;
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6349 Scaturigi-
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parents:
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6350 nis fontis in
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6351 venire per
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parents:
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6352 tubos fluen-
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diff changeset
6353 tis.</I></MARG>
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6354 <FIG>
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6355 <p>FIat notum lumen, per quod fontis a-
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6356 qua fluat; aut fonti lumen not&aelig; ma-
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6357 gnitudinis applica, v.g. lineare. Ob-
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6358 $erva deinde quot aqu&aelig; libras fons per
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6359 lineare lum&etilde; effundat $patio unius minuti primi, $eu 60 minuto-
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6360 rum $ecundorum; $itque numerus ille librarum B. Quoniam
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diff changeset
6361 igitur per Propo$it. VII. huius capitis, tubus qua drupedalis $emper
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6362 plenus per lumen lineare effundit $patio tiedecim $ecundorum
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6363 vnam libram, &amp; con$equenter $patio 60 $ecundorum, $eu unius
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diff changeset
6364 minuti primi, libras 4<*>: &amp; pr&aelig;terea, quoniam per Pori$ma I.
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6365 Propo$it. VIII. huius capitis, altitudines tuborum, habentium
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6366 idem $eu &aelig;quale lumen, $unt in duplicata ratione eius quam ha-
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6367 bent aqu&aelig; quantitates per tubos eod&etilde; tempore effus&aelig;: $i fiat, ut
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6368 4<*> lib. ad numerum librarum B, ita altitudo 4 pedum, ad aliud,
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6369 nempe ad altitudinem numeri M; &amp; iterum, ut 4 ad M, ita M
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6370 ad N; dabit numerus N altitudinem $caturiginis in pedibus,
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6371 e&ograve; qu&ograve;d ratio 4 ad N $it duplicata rationis 4 ad M, $eu ratic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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6372 nis 4<*> ad B, nimirum aqu&aelig; ad aquam.
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6373 <C>Propo$itio XXIII. Problema VII.</C>
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6374 <C>Data alicuius tubi, aut va$is erogatorij altitudine, ac
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6375 tempore, quo determinatam aqu&aelig; quantitatem &egrave; $uo lumine
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parents:
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6376 effundit, invenire altitudinem eiusdem autalterius tubi, qui
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6377 &aelig;quali tempore, per &aelig;quale lumen, aliam determi-
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casties
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6378 natam aqu&aelig; quantitatem effundat.</C>
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casties
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6379 <pb n=141>
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casties
parents:
diff changeset
6380 <p>SIt tubi vel alterius va$is erogatorij aqu&acirc; $emper pleni altitudo
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6381 <MARG><I>Data tubi
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casties
parents:
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6382 altitudine,
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parents:
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6383 ac tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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6384 effiuentis a-
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casties
parents:
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6385 qu&aelig; deter-
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parents:
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6386 minat&aelig;, in-
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6387 venire alti-
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casties
parents:
diff changeset
6388 tudinem
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parents:
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6389 pro alia a-
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parents:
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6390 qu&aelig; quanti-
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6391 tate.</I></MARG>
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casties
parents:
diff changeset
6392 9. pedum, ex cuius lumine $patio unius minuti $aliat una aqu&aelig;
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parents:
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6393 libra, $it autem producenda altitudo e&ograve; u$que, ut &aelig;quali $patio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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6394 minuti, per idem aut &aelig;quale lumen effundat 16. libras aqu&aelig;. Du-
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6395 plicetur ratio 16 ad 1, &amp; proveniet ratio 256 ad 1; nam 16 ducta in
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6396 16 efficiunt 256: cumque 9 referat unitatem, multiplica 256 per
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diff changeset
6397 9, &amp; provenient 2304, pro tubi aut alterius va$is qu&aelig;$iti alti-
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6398 tudine. Ratio e$t, quia tubi habent duplicatam rationem a-
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6399 quarum, per Propo$it. VIII. huius capitis. Si itaque fiat, ut 1 ad
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parents:
diff changeset
6400 256, ita 9 ad aliud; provenient 2304.
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6401 <C>Propo$itio XXIV. Problema VIII.</C>
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casties
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6402 <C>In tubo $eu va$e non $emper pleno determinare $patia,
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casties
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6403 qu&aelig; temporibus &aelig;qualibus $ibi $ucced entibus evacuantur;
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6404 vti &amp; men$uram $eu pondus aqu&aelig; qu&aelig; effluit.</C>
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6405 <p>PArte 2. Cla$$e 1. cap. 4. inter alias Machinas afferemus varia liy-
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parents:
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6406 drologia, $eu horologia aquatica, quibus per fluxum aqu&aelig; &egrave;
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6407 <MARG><I>In tubo de-
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6408 terminare
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6409 $patia que
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casties
parents:
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6410 temporibus
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6411 &aelig;qualibus
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6412 evacuan-
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6413 tur.</I></MARG>
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6414 foramine alicui<SUP>9</SUP> tubi, aut va$is, metimur horas &aelig;quales $eu &ecedil;qua-
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6415 les temporis partes, $ignando in va$is latere lineas determinantes
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6416 fluxum &aelig;qualibus temporibus corre$pondentem. At quoniam
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6417 ex dictis $upr&agrave; Propo$itione VI. con$tat, $patia qu&aelig; &aelig;qualibus
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6418 temporibus evacuantur, non e$$e &aelig;qualia, $ed $emper minora
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6419 atque minora evadere, e&ograve; qu&ograve;d &aelig;qualibus temporibus non ef-
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6420 fluat &aelig;qualis aqu&aelig; copia, $ed $emper minor ac minor; ideo de-
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6421 terminandum h&iacute;c e$t, quomodo geometric&egrave; inveniendum $it in
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diff changeset
6422 quolibet va$e dictum $patiorum decrementum, $eu quomodo
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diff changeset
6423 dividendum $it latus va$is, ut $patia ad$ignata &aelig;qualibus tem-
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parents:
diff changeset
6424 poribus evacuentur. Iterum quoniam per dicta e&acirc;dem Pro-
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parents:
diff changeset
6425 po$itione VI, aqua qu&aelig; &aelig;qualibus temporibus effluit &egrave; dictis va-
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diff changeset
6426 $is, non e$t &aelig;qualis, $ed in &aelig;qualis; determinandum e$t, quan-
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parents:
diff changeset
6427 tum quovis &aelig;quali tempore effluat.
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parents:
diff changeset
6428 <p>Dico itaque, aquam &aelig;qualibus temporibus effluere &egrave; tu-
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parents:
diff changeset
6429 bis non $emper plenis ea ratione, ut $ingulis temporibus decre-
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diff changeset
6430 <pb n=142>
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casties
parents:
diff changeset
6431 $eat &amp; aqu&aelig; effu$&aelig; quantitas, &amp; va$is $eu tubi evacuati $patium,
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parents:
diff changeset
6432 &amp; aqu&aelig; de$cendentis ac effluentis velocitas eo decremento,
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parents:
diff changeset
6433 quod e$t inter numeros impares, ver$us unitatem. Explico. Sit
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parents:
diff changeset
6434 vas quodcunque aqu&acirc; plenum, eius fluxus dividere debeat di-
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parents:
diff changeset
6435 em, aut quam cunque diei partem, in quatuor &aelig;quales partes;
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parents:
diff changeset
6436 $intque in va$e 16 v.g. men$ur&aelig; $eu libr&aelig; aqu&aelig;, qu&aelig; dato
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parents:
diff changeset
6437 tempore effluant. Dico, primo tempore effluere $eptem men-
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parents:
diff changeset
6438 $uras, $ecundo quinque, terti&ograve; tres, quarto &amp; ultimo unam.
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parents:
diff changeset
6439 <p>Dico iterum, $i tota va$is altitudo ab infima ad $upremam
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diff changeset
6440 aqu&aelig; $uperficiem dividatur in 16 &aelig;quales partes, aquam in pri-
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parents:
diff changeset
6441 mo tempore de$cendere ad 7 $patia, in $ecundo ad quinq; in ter-
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parents:
diff changeset
6442 tio ad tria, in quarto ad unum. Dico tandem, aquam in pri-
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diff changeset
6443 ma hora de$cendere atq; effluere ut $eptem, in $ecunda ut quin-
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parents:
diff changeset
6444 que, in tertia ut tria, in quarta ut unum. Sequitur ex dictis
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parents:
diff changeset
6445 $upr&agrave; Propo$itione 8, 9, &amp; 10, quas vide. Eadem ratio in
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parents:
diff changeset
6446 omnibus alijs e$t.
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parents:
diff changeset
6447 <C>Corollarium.</C>
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parents:
diff changeset
6448 <MARG><I>Vas parare,
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parents:
diff changeset
6449 cuius flux<SUP>9</SUP>
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diff changeset
6450 dividat da-
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parents:
diff changeset
6451 tum tempus
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parents:
diff changeset
6452 in partes
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parents:
diff changeset
6453 &aelig;quales.</I></MARG>
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parents:
diff changeset
6454 <p>EX his patet, quomodo parandum $it vas, cuius fluxus dato
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diff changeset
6455 tempore durans dividat illud tempus in partes &aelig;quales. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6456 enim vas, cuius fluxus duret per $patium duodecim horarum, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6457 hoc $patium temporis $it dividendum, beneficio fluxus aqu&aelig;, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6458 12 &aelig;quales partes $eu horas. Duc 12. in $eip$a, &amp; produces 144.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6459 Deinde divide va$is altitudinem &agrave; $uprema ad infimam aqu&aelig; $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6460 perficiem, in 144 partes $eu $patia &aelig;qualia, &amp; inferi&ugrave;s prope
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6461 fundum va$is incipiendo, deputa ultim&aelig; hor&aelig; ex duodecim vn&utilde;
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parents:
diff changeset
6462 $patiolum, penultim&aelig; tria, ante penultim&aelig; quinque, &amp; $ic ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6463 teri&ugrave;s progredere $ecun d&ugrave;m $eriem $eu progre$$ionem numero-
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parents:
diff changeset
6464 rum impati&utilde;, prout apparet in numeris lateri dextro CD $equen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6465 tis figur&aelig; appo$itis. His pr&ecedil;$titis, divi$um erit vas in $patia in&ecedil;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6466 lia, qu&ecedil; $ingulis &aelig;qualibus temporibus, nempe horis, evacuantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6467 videbi$que aquam in prima hora de$cendere &agrave; $patio ultimo $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6468 144, u$que ad $patium 121; in $ecunda hora u$que ad $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6469 100; in tertia u$que ad 81; &amp; $ic porr&ograve; u$que ad finem; prout
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6470 <pb n=143>
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parents:
diff changeset
6471 <FIG>
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casties
parents:
diff changeset
6472 apparet in numeris lateri $ini$tro AB eiu$dem
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casties
parents:
diff changeset
6473 figur&aelig; appo$itis. Lege Torricellum lib. 2. de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6474 motu projectorum.
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casties
parents:
diff changeset
6475 <p>Eadem ratione reperies, quot partes, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6476 men$ur&aelig; cert&aelig;, $eu pondera aqu&aelig; effluant ex va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6477 $e in $ingulis horis. Item qua velocitate effluat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6478 atque de$cendatin ijsdem, $ingulis horis.
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parents:
diff changeset
6479 <C>Annotatio I.</C>
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parents:
diff changeset
6480 <p><I>NVmeri dextri lateris</I> CD <I>indicant etiam partes
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parents:
diff changeset
6481 $eu $patiola va$is, qu&aelig; percurrit aqua $ingulis horis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6482 $uo motu de$cens&ucirc;s; $imiliter &amp; partes aqu&aelig;, qu&aelig; $ingu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6483 lis horis effluunt, &amp; velocitatem, qu&acirc; effluunt. Nam
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parents:
diff changeset
6484 in prima hora percurrit $patia</I> 23, <I>in $ecunda</I> 21, <I>in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6485 tertia</I> 19, <I>in quarta,</I> 17, <I>&amp;c.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6486 <p><I>Numeri $ini$tri lateris</I> AB <I>$unt duodecim qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6487 drata temporis in duodecim horas divi$i. Nam</I> 1 <I>e$t
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parents:
diff changeset
6488 quadratum hor&aelig; prim&aelig;, incipiendo ab ultima;</I> 4 <I>e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6489 quadratum hor&aelig; $ecund&aelig;,</I> 9 <I>e$t quadratum hor&aelig; ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6490 ti&aelig; &amp;c. vt patet, $i $inguli numerimedio figur&aelig; in$eri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6491 pti multiplicentur per $eip$os. Et hoc e$t, quod dixi-
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parents:
diff changeset
6492 mus $upr&agrave; Propo$it.</I> IX. <I>in motu gravium naturaliter
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parents:
diff changeset
6493 de$cendentium $patia &aelig;qualibus temporibus transmi$-
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parents:
diff changeset
6494 $a e$$e inter $e, ut quadrata temporum.</I>
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casties
parents:
diff changeset
6495 <C>Annotatio II.</C>
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casties
parents:
diff changeset
6496 <p><I>SI vas aliquod dividere velles in partes</I> 24, <I>multi-
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parents:
diff changeset
6497 plica</I> 24 <I>per</I> 24, <I>producentur</I> 576. <I>Divide ergo
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casties
parents:
diff changeset
6498 altitudinem va$is in</I> 576 <I>partes &aelig;quales, &amp; procede
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6499 ut dictum in Corollario, juxta $eriem numerorum im-
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casties
parents:
diff changeset
6500 parium. Eadem ratione quotlibet vas in quotlibet
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casties
parents:
diff changeset
6501 partes partieris.</I>
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casties
parents:
diff changeset
6502 <C>Annotatio III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6503 <p><I>QVoniam quando in va$e exigua e$t aqua, ut vix
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parents:
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6504 fundum operiat, fluxus ip$ius guttatim &amp; non</I>
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parents:
diff changeset
6505 <pb n=144>
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casties
parents:
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6506 <FIG>
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parents:
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6507 <I>continu&egrave; $it, ideo&queacute; aqua fluens guttulis $uis errorem in-
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casties
parents:
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6508 ducere pote$t; meli&ugrave;s e$t, $i du&aelig; ultim&aelig; divi$iones $eu
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casties
parents:
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6509 $patiola va$is divi$i, notata numeris</I> 1 <I>&amp;</I> 3, <I>non ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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6510 niant in numerum $patiolorum, &amp; poti&ugrave;s ver$us prin-
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diff changeset
6511 cipium adjiciantur alia duo $patia; $icque vas, de quo
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diff changeset
6512 in Corollario, non dividatur in</I> 12, <I>$ed in</I> 14 <I>partes,
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diff changeset
6513 modo ibi dicto, dividendo totam ip$ius altitudinem
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diff changeset
6514 in partes &aelig;quales</I> 196 <I>(qui numerus re$ultat ex ductu
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diff changeset
6515 numeri</I> 14 <I>in $eip$um) &amp; addendo $patium</I> 13, <I>&amp;</I>
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diff changeset
6516 14, <I>qu&aelig; demptis duobus infimis efficiant duodecim
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diff changeset
6517 $patia.</I>
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diff changeset
6518 <C>PARERGVM CAPITIS TERTII.</C>
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diff changeset
6519 <C>De inventione medi&aelig;, ac terti&aelig; propor-
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diff changeset
6520 tionalis quantitatis, in numeris, &amp;
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diff changeset
6521 lineis.</C>
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diff changeset
6522 <p>EXdictis hoc Capite patet, qu&agrave;m $&aelig;pe nece$$a-
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diff changeset
6523 ria $it inventio medi&aelig;, ac terti&aelig;, quart&aelig;que
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diff changeset
6524 proportionalis quantitatis, ut ex nota aqu&aelig; men-
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diff changeset
6525 $ura, aut pondere, venire po$$imus in cognitio-
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diff changeset
6526 nem de$iderat&aelig; altitudinis tubi, aut va$is; aut&egrave;
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diff changeset
6527 contrario, ut ex nota tubi altitudine veniamus in
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diff changeset
6528 cognitionem men$ur&aelig; aut ponderis aqu&aelig;, &amp;
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diff changeset
6529 quamcunque tuborum altitudinem, aquarumv&egrave;
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diff changeset
6530 copiam reperiamus facil&egrave; per quamcunque ra-
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diff changeset
6531 tionem $ubduplicatam, aut duplicatam, $ive nu-
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diff changeset
6532 meris exprimi po$$it, $ive non po$$it exprimi abs-
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diff changeset
6533 que $urdis. Oper&aelig; ergo pretium duxi, Regu-
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diff changeset
6534 las brevi$$imas a$$ignare, vel $altem in$inuare,
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diff changeset
6535 pr&aelig;dictas quantitates inveniendi, mediam dico,
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diff changeset
6536 ac tertiam, quartamque proportionalem, tam
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diff changeset
6537 arithmetic&egrave;, qu&agrave;m geometric&egrave;, libantes brevi$-
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diff changeset
6538 $im&egrave; nonnulla ex ij, qu&aelig; fu$i&ugrave;s dicemus in Arith-
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diff changeset
6539 metica, &amp; in Geometria practica, $euin
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diff changeset
6540 Pantometro Kircheriano.
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diff changeset
6541 <pb n=145>
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6542 <C>Propo$itio I.</C>
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6543 <C>Inter duos numeros medium proportiona-
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6544 lem invenire.</C>
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6545 <p>DUos numeros propo$itos multiplica inter$e, &amp; ex producto
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6546 <MARG><I>Numerum
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6547 medium in-
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6548 ter duos in-
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6549 venire.</I></MARG>
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diff changeset
6550 erue radicem quadratam; erit h&aelig;c radix medio loco pro-
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diff changeset
6551 portionalis inter duos numeros datos. Exemplum. Sit inter 4
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6552 &amp; 16 inveniendus medius proportionalis numerus: multiplica
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diff changeset
6553 16 per 4, fiunt 64; cuius radix quadrata e$t 8, e$tque medio
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6554 loco proportionalis inter 4 &amp; 16; quia ut e$t 4 ad 8, ita 8 ad 16.
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6555 <C>Propo$itio II.</C>
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6556 <C>Datis duobus numeris, tertium continu&egrave;
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diff changeset
6557 proportionalem invenire.</C>
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diff changeset
6558 <p>TRes numeri continu&egrave; proportionales dicuntur, quando e$t,
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6559 <MARG><I>Numerum
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6560 tertium pro
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parents:
diff changeset
6561 portional&etilde;
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parents:
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6562 po$t duos in-
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diff changeset
6563 venire.</I></MARG>
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parents:
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6564 ut primus ad $ecundum, ita $ecundus ad tertium. Huiusmodi
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diff changeset
6565 $unt 1, 3, 9, &amp; 1, 2, 4: item 2, 4, 8: item 4, 8, 16. Propo$itisigi-
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6566 tur quibuscunque duobus numeris, in venietur tertius, qui ad
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diff changeset
6567 $ecundum $it ut ip$e $ecundus ad primum, $eu ad quem $ecun-
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diff changeset
6568 dus $it ut primus ad $ecundum; $i $ecundum ducas in $eip$um;
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parents:
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6569 productus enim erit tertius proportionalis.
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parents:
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6570 <C>Propo$itio III.</C>
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6571 <C>Inter duas rectas lineas datas invenire mediam
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6572 proportionalem.</C>
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parents:
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6573 <FIG>
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parents:
diff changeset
6574 <p>SInt dat&aelig; du&aelig; rect&aelig; AB, BC, inter
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parents:
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6575 <MARG><I>Lineam me
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6576 diam pro-
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parents:
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6577 portionalem
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parents:
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6578 inter duas
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parents:
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6579 invenire.</I></MARG>
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parents:
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6580 quas invenienda $it media propor-
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parents:
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6581 tionalis. Coniungantur rect&aelig; AB, CB
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6582 in unam rectam continuam in puncto
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6583 B, ut fiat recta ABC; e&acirc;que divis&acirc; bi-
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6584 fariam in D, de$cribatur $emicirculus
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6585 aut circulus AEC, ad intervallum
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6586 DA, vel DC; tandemque ex B pun-
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parents:
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6587 cto erigatur perpendicularis BE ad
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parents:
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6588 circumferentiam u$que; eritque BE
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6589 <pb n=146>
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6590 media proportionalis qu&aelig;$ita. Demon$trationem vide apud
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6591 Euclidem lib. 6. Propo$it. 13.
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6592 <C>Propo$itio IV.</C>
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6593 <C>Datis duabus rectis, invenire tertiam pro-
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6594 portionalem.</C>
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parents:
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6595 <MARG><I>Lineam ter
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parents:
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6596 tiam propor
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parents:
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6597 tionalem
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parents:
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6598 po$t duas in
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6599 venire.</I></MARG>
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parents:
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6600 <p>SInt dat&aelig; du&aelig; rect&aelig; AB, &amp; BE, pr&aelig;cedentis figur&aelig;, $itque
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6601 invenienda tertia, ad quam ita $e habeat $ecunda, $icut pri-
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6602 ma ad $ecundam. Coniungantur rect&aelig; AB, BE, in puncto B
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6603 ad angulum rectum, ducaturque recta EA; e&aacute;que bifariam di-
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6604 vis&acirc; in F, ducatur recta FD perpendicularis ad AE; &amp; facto
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6605 centro D, intervallo DA de$cribatur circulus, qui nece$$ari&ograve;
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6606 tran$ibit per punctum E, <I>per quintam Quarti Euclid.</I> Siiam
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6607 producatur recta AB u$q; ad circumferentiam circuli, hoc e$t,
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6608 u$que ad punctum C; erit BC tertia proportionalis qu&aelig;$ita.
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diff changeset
6609 <p>Sint iterum dat&aelig; du&aelig; rect&aelig; BC, &amp; BE, $itque invenien-
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diff changeset
6610 da tertia proportionalis. Coniungantur, ut antea, rect&aelig; ill&aelig;
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diff changeset
6611 in B, ut efficiantangulum rectum, &amp; ducatur recta EC; at-
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diff changeset
6612 que ex puncto medio G demittatur perpendicularis GD, &amp;
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diff changeset
6613 producta recta CB in continuum, de$cribatur centro D, in-
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diff changeset
6614 tervallo DC, circulus, qui iterum tran$ibit per punctum E,
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diff changeset
6615 &amp; $ecabit rectam CB productam in A; eritque h&aelig;c recta BA
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diff changeset
6616 tertia proportionalis qu&aelig;$ita.
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diff changeset
6617 <C>Annotatio</C>
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diff changeset
6618 <p><I>QVod dictum e$t de lineis h&icirc;c po$itis, dicendum e$t de quibuscunque
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diff changeset
6619 <MARG>Tubum me
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diff changeset
6620 dium <*> t<*>-
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diff changeset
6621 tium p<*>r
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diff changeset
6622 tionalem in
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diff changeset
6623 venire.</MARG>
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diff changeset
6624 line is propo$itis. Itaque $ipropo$itis duobus tubis inveniendus $it
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diff changeset
6625 velmedius, veltertius proportionalis; coniunge lineas rectas tubis da-
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diff changeset
6626 tis &aelig;quales; &amp; operare ut dictum, &amp; invenies quod qu&aelig;ris. Qu&ograve;d $i
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diff changeset
6627 tubi propo$iti, ac line&aelig; ip$is &aelig;quales nimis e$$ent long&aelig;, ac proinde min&ugrave;s
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diff changeset
6628 commod&egrave; circulo includi po$$ent; accipe ip$arum $ubmultiplices, v.g.
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diff changeset
6629 dimidiam, tertiam, quartam, &amp;c. partem, &amp; cum ip$is procede
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diff changeset
6630 ut dictum; eritque inventa linea &aelig;qu&egrave; $ubmultiplex
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diff changeset
6631 line&aelig; aut tubi qu&aelig;$iti.</I>
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6632 <pb n=147>
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diff changeset
6633 <C>Propo$itio V.</C>
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6634 <C>Aliter invenire tertiam proportionalem.</C>
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diff changeset
6635 <p>QUod fecimus in pr&ecedil;cedenti Propo$itione mediante circulo,
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diff changeset
6636 <MARG><I>Lineam ter
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diff changeset
6637 tiam pro-
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diff changeset
6638 portionalem
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diff changeset
6639 aliter inve-
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diff changeset
6640 nire.</I></MARG>
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diff changeset
6641 fieri pote$t facili&ugrave;s absque circulo $ic.
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diff changeset
6642 <FIG>
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diff changeset
6643 <p>Du&aelig; rect&aelig; dat&aelig;, AB, &amp; BE, con-
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diff changeset
6644 $tituantur ad angulum rectum ABE,
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diff changeset
6645 ut dictum, &amp; ducatur recta EA. Pro-
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diff changeset
6646 duct&acirc; deinde AB, antecedente $eu
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6647 prim&acirc; duarum datarum, ducatur ex E
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6648 ad AE perpendicularis EC, occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
6649 rensip$i AB product&aelig; in C; eritque
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diff changeset
6650 BC tertia proportionalis.
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diff changeset
6651 <p>Si e$$ent propo$it&aelig; du&aelig; rect&aelig; CB,
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6652 BE, deberent ip$&aelig; coniungi ad angu-
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6653 lum rectum CBE, &amp; duct&acirc; rect&acirc; CE,
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6654 productaque CB, deberet duci per-
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diff changeset
6655 pendicularis AE, ad rectam CE, e$$et&qacute;ue AB tertia qu&aelig;$ita.
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6656 <C>Annotatio.</C>
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6657 <p><I>INvent&acirc; alterutro modorum terti&acirc; continu&egrave; proportionali, $i primam
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6658 omi$eris, &amp; alijs duabus tertiam inveneris; habebis quatuor leneas
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6659 continu&egrave; proportionales. Eodemque modo invenies quintam, $extam,
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6660 $eptimam, &amp; quamcunque aliam.</I>
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6661 <C>Propo$itio VI.</C>
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6662 <C>Adhuc aliter invenire tertiam proportionalem.</C>
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6663 <p>SI difficile tibi videtur ducere tot perpendiculares ad inveni-
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6664 <MARG><I>Adhuc ali-
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6665 ter item pre
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6666 $tare.</I></MARG>
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6667 endamtertiam proportionalem, uti poteris modo pr&aelig;$cripto
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6668 ab Euclide lib. 6. Propo$it. 11. $ic:
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6669 <FIG>
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6670 <p>Sint du&aelig; rect&aelig; AB, AE.
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6671 Di$pon&atilde;tur e&aelig;ita, ut efficiant
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6672 angulum A quemcunque,
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6673 producaturque AB quam vis
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6674 e$$e antecedentem $eu prim&atilde;,
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6675 &amp; capiatur BC &aelig;qualis ip$i
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6676 AE, qu&aelig; con$equens e$$e de-
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6677 <pb n=148>
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6678 <FIG>
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parents:
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6679 bet, $ive $ecunda, aut media.
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parents:
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6680 Deinde duct&acirc; rect&acirc; AB, aga-
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parents:
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6681 tur illi ex C parallela CD,
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parents:
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6682 occurrensip$i AE product&aelig;,
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parents:
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6683 in D; eritque ED tertia
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6684 proportionalis qu&aelig;$ita.
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6685 <C>Annotatio.</C>
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6686 <p><I>SIdu&aelig; dat&aelig;$int nimis long&aelig;, $ervetur id, quod diximus in Annota-
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parents:
diff changeset
6687 tione Propo$itionis quart&aelig; pr&aelig;cedentis.</I>
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6688 <C>Propo$itio VII.</C>
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6689 <C>Datis tribus numeris, invenire quartum pro-
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6690 portionalem.</C>
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parents:
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6691 <MARG><I>Numeris
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parents:
diff changeset
6692 tribus datis
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parents:
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6693 quartum
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6694 proportiona-
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6695 lem inveni-
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casties
parents:
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6696 re.</I></MARG>
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6697 <p>UTere Regul&acirc; proportionum apud Arithmeticos noti$$ima,
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6698 quam Auteam vocant; &amp; habebis intentum.
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6699 <C>Propo$itio VIII.</C>
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6700 <C>Datis tribus rectia lineis, quartam propor-
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parents:
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6701 tionaleminvenirc.</C>
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parents:
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6702 <MARG><I>Lineis tri-
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diff changeset
6703 bus datis,
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diff changeset
6704 quart&atilde; pro-
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diff changeset
6705 portiona-
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diff changeset
6706 lem inveni-
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diff changeset
6707 re.</I></MARG>
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diff changeset
6708 <FIG>
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parents:
diff changeset
6709 <p>SInt tres line&aelig; rect&aelig;, AB, BC,
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parents:
diff changeset
6710 AD, quibus invenienda $it
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diff changeset
6711 quarta. proportionalis, ad
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diff changeset
6712 qu&agrave;m $it tertia AD, ut e$t
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diff changeset
6713 prima AB, ad $ecundam BC.
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parents:
diff changeset
6714 Di$pon&atilde;tur prim&aelig; du&aelig;, AB,
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diff changeset
6715 BC, $ecund&ugrave;m lineam rect&atilde;
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6716 qu&aelig; $it AC; tertia ver&ograve; AD,
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6717 cum prima AB, faciatangulum A quemcunque: deinde ex B
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diff changeset
6718 ad D ducatur recta BD, cui per C ducatur parallela CE, oc-
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diff changeset
6719 currens rect&aelig; AD product&aelig;, in E puncto. Dico, DE, e$$e
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diff changeset
6720 quartam proportionalem. Demon$trationem vide apud
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diff changeset
6721 Euclidem lib. 6. Propo$it. 12.
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diff changeset
6722 <pb n=149>
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diff changeset
6723 <C>CAPVT IV.</C>
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diff changeset
6724 <C>De proprietatibus aqu&aelig; $alientis ex tubis.
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diff changeset
6725 PROOEMIVM.</C>
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diff changeset
6726 <FIG>
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diff changeset
6727 <p><I>CApite pr&aelig;ceden-
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diff changeset
6728 <MARG>Proprieta-
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parents:
diff changeset
6729 tes aqu&aelig; $a-
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diff changeset
6730 lientis ex tu
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diff changeset
6731 bis vertica-
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diff changeset
6732 libus.</MARG>
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6733 ti egimuo de pro-
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6734 prietatibus a-
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parents:
diff changeset
6735 qu&aelig; fluentis per tubos
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6736 verticales, hoc e$t, efflu-
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6737 entis ex foramine facto in
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diff changeset
6738 ba$ibus tuborum: hoc Ca-
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diff changeset
6739 pite agemus de proprieta-
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6740 tibus eju$dem aqu&aelig; $ali-
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6741 entis ex tubis verticali-
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6742 bus, hoc e$t, effluentis ex
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diff changeset
6743 foraminibus lateralib<SUP>9</SUP> tu-
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diff changeset
6744 bor&utilde;, $eu per tubos inferi-
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diff changeset
6745 &ugrave;s inflexos. Po$$unt aut&etilde;
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6746 tubi verticales inferi&ugrave;s
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6747 inflecti triplici modo, ho-
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6748 <MARG>Tubi verti-
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parents:
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6749 cale, tripli-
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parents:
diff changeset
6750 citer inflecti
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6751 po$$unt in-
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6752 feri&ugrave;s.</MARG>
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6753 rizontaliter, verticali-
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6754 ter, &amp; medio modo. Ho-
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6755 rizontaliter inflexus dici-
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6756 tur, $i pars inferior infle-
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parents:
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6757 xa $it horizonti parallela
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6758 re$pectupartis reliqu&aelig; ver</I>
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6759 <pb n=150>
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casties
parents:
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6760 <FIG>
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parents:
diff changeset
6761 <I>ticaliter erect&aelig;; $eu$i pars
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parents:
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6762 inferior inflexa faciat cum
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casties
parents:
diff changeset
6763 reliqu&aelig; angulum rectum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6764 Talis e$t in appo$ito $che-
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casties
parents:
diff changeset
6765 mate tubus</I> ABC. <I>Ver-
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parents:
diff changeset
6766 ticaliter inflexus dicitur,
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casties
parents:
diff changeset
6767 $i pars inferior inflexa $it
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parents:
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6768 horizonti perpendicularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6769 re$pectu reliqu&aelig; partis et-
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parents:
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6770 iam perpendiculariter e-
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parents:
diff changeset
6771 rect&aelig;. Talis e$t in $che-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6772 mate pr&aelig;$enti tubus</I> ABE.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6773 <I>Medio modo inflexus di-
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parents:
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6774 citur, $ipars inferior ne-
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parents:
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6775 que parallela e$t horizon-
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parents:
diff changeset
6776 ti, neque perpendicula-
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parents:
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6777 ris, $ed inter utrumque
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casties
parents:
diff changeset
6778 $itum facit angulum $e-
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parents:
diff changeset
6779 mirectum $eu</I> 45 <I>gradu-
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parents:
diff changeset
6780 um. Talis e$t tubus</I> ABD.
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parents:
diff changeset
6781 <p><I>Easdem appellatio-
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parents:
diff changeset
6782 nes $ubibit tubusinflexus,
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casties
parents:
diff changeset
6783 $i pars inferior habeat tria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6784 epi$tomia,</I> E, D, C, <I>quorum</I> E <I>$it erectum perpendiculariter,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6785 C <I>pro$tratum horizontaliter,</I> D <I>inclinatum inter utrum-
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parents:
diff changeset
6786 que, ad dictum angulum. Quod fit per tria epi$tomia dicta,
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casties
parents:
diff changeset
6787 fieri pote$t per unum, $i ita in$eratur parti inferiori tubi inflexi,
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parents:
diff changeset
6788 ut verti atque dirigi po$$it in quemcunque $itum.</I>
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casties
parents:
diff changeset
6789 <pb n=151>
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casties
parents:
diff changeset
6790 <p><I>Radij aqu&aelig;, qui ex inflexo tubo, aut ex epi$tomiis pr&aelig;-</I>
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casties
parents:
diff changeset
6791 <MARG>Radij aqu&ecedil;
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casties
parents:
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6792 ex inflexo
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casties
parents:
diff changeset
6793 tubo exili-
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casties
parents:
diff changeset
6794 entes.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6795 <I>dictis exiliunt, quales $unt in pr&aelig;cedenti diagra&mtilde;ate radij</I> EF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6796 DI, DK, CG, CH, <I>appellari po$$unt aque&aelig; virgul&aelig;, aquei ecdro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6797 mi, hoc e$t, excur$us $eu $altus aqu&aelig;, &amp; $imilibus nominibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6798 Marinus tamen Mer$ennus in Hydraulicis $uis Ph&aelig;nomenis
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casties
parents:
diff changeset
6799 appellat eos</I> $alientes, <I>aitque eo nomine appellari &agrave; Iulio Fron-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6800 tino, aliis que veteribus; quare &amp; nos eo vocabulo utemur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6801 <MARG>Salientes
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casties
parents:
diff changeset
6802 aqu&aelig; ex tu
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6803 bis quid
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diff changeset
6804 $int.</MARG>
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6805 <I>Radius igitur</I> EF <I>dicatur $aliens verticalis, Radius</I> CG,
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diff changeset
6806 <I>&amp;</I> CH, <I>$aliens Horizontalis; radius denique</I> DI, <I>&amp;</I> DK,
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6807 <I>$aliens Medius, et licet $alientes</I> CG, CH, <I>nonprocedant ho-
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diff changeset
6808 rizontaliter, $ed ob aqu&aelig; gravitatem $tatim deprimantur, at-
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diff changeset
6809 que curventur; vocantur tamen $alientes horizontales, propter
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diff changeset
6810 epi$tomium aut tubulum</I> C <I>horizontaliter di$po$itum.</I>
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diff changeset
6811 <p><I>His pr&aelig;m$$is, afferemus nunc nonnullas ex multis ob$er-</I>
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diff changeset
6812 <MARG>Ph&ecedil;nome-
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diff changeset
6813 na aqu&aelig; $a
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diff changeset
6814 lientis.</MARG>
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diff changeset
6815 <I>vationes, $eu Ph&aelig;nomena aqu&aelig; $alientis ex tubis, pr&aelig;$ertim
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diff changeset
6816 ex Marino Mer$enno, qui e&acirc; in re diligentiam multorum
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diff changeset
6817 vincit. His deinde addemus unum aut alterum Problema.
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diff changeset
6818 Atque ex his patebunt proprietates aqu&aelig; $alientis ex tubis.</I>
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diff changeset
6819 <C>Propo$itio I. Ph&aelig;nomenum. I.</C>
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6820 <C>Salientium $ive ecdromorum horizontalium, &amp; medio-
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diff changeset
6821 rum, $uper eodem horizonte, longitudines $unt in ratione $ub-
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6822 duplicata tuborum, ex quibus exiliunt.</C>
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diff changeset
6823 <p>DIxi, <I>$uper eodem horizonte;</I> nam $uper diver$ishorizon-
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diff changeset
6824 tibus diver$a e$t eiu$dem $alientis longitudo, etiam
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diff changeset
6825 re$pectu eiu$dem tubi, ut dicemus Propo$itione $e-
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diff changeset
6826 quenti. Voco autem longitudinem horizontalium
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diff changeset
6827 $alientium, di$tantiam in pr&aelig;cedenti $chemate &agrave; puncto z v.g.
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diff changeset
6828 adpunctum H, aut G, &amp;C.
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diff changeset
6829 <pb n=152>
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diff changeset
6830 <MARG><I>Salientium&verbar;
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diff changeset
6831 proportio ad
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diff changeset
6832 duos tubos.</I></MARG>
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diff changeset
6833 <p>Sint igitur in pr&aelig;cedenti $chemate duo tubi, BL pedalis,
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diff changeset
6834 &amp; BA quadrupedalis; $ithorizon OHG; $itque tubi pedalis BL
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diff changeset
6835 $aliens horizontalis CH, tubi ver&ograve; quadrupedalis BA $aliens
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diff changeset
6836 horizontalis $it CG. Dico, longitudinem $alientis tubi BL
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diff changeset
6837 pedalis, $cilicet CH, e$$e $ubduplam $alientis tubi BA, $cilicet
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diff changeset
6838 CG. Ob$erva vit id Mer$ennus, ut a$$erit ip$e in $uis Ph&aelig;nome-
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6839 nis hydraulicis Propo$it. XVI. Quare, $i longitudo $alientis tu-
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diff changeset
6840 bi pedalis e$t unius pedis, longitudo $alientis tubi quadrupedalis
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diff changeset
6841 erit duorum pedum; &amp; longitudo $alientis tubi $exde cupedalis
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diff changeset
6842 erit quatuor pedum; &amp; longitudo $alientistubi 64 pedum erit
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diff changeset
6843 octo pedum; &amp; ita de reliquis. Ratio huius Ph&aelig;nomeni vide-
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diff changeset
6844 tur de$umenda e$$e &agrave; velocitate aqu&aelig; de$cendentis per tubos,
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diff changeset
6845 qu&aelig; etiam e$t in ratione tuborum $ubduplicata, ut con$tat ex
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diff changeset
6846 Propo$it. X. Capitis pr&aelig;cedentis.
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6847 <C>Pori$ma.</C>
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6848 <p>SEquitur hinc, altitudines tuborum habere duplicatam ratio-
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6849 nem eius, quam habent longitudines $alientium horizonta-
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6850 lium.
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6851 <C>Annotatio I.</C>
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diff changeset
6852 <p><I>QVod dixi in Propo$itione de $alientibus horizontalibus</I> CG, CH,
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6853 <I>debet etiam intelligi de $alientibus medijs</I> DK, DI.
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6854 <C>Annotatio II.</C>
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6855 <MARG><I>Salientium
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6856 longitudines
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6857 ob$ervare.</I></MARG>
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6858 <p><I>LOngitudines $&aelig;lientium $uper horizontem quemcun&queacute; pote$t quilibet
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diff changeset
6859 ob$ervare facillim&egrave;, &amp; ubivis locorum, $iconficiat $ibi tubulum
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diff changeset
6860 pr&aelig;cedentis figur&aelig;</I> ABC <I>portatilem, determinat&aelig; altitudinis &amp; lati-
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diff changeset
6861 tudinis, v.g. altumpede vno, &amp; latum digito. Si enim apud</I> C <I>epi$to-
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6862 mium in$erat, aut etiam $olum digitum apponat foramini</I> C, <I>&amp; de-
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6863 inde repleto tubo epi$tomium aperiat, aut digitum amoveat, ut paucu-
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diff changeset
6864 l&aelig; $ol&ugrave;m guttul&aelig; exiliant, iterumque obturet foramen; notare poterit
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6865 in horizonte $ignum &agrave; $aliente impre$$um; cuiusmodi $igna
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parents:
diff changeset
6866 $unt in $uperiori $chemate</I> K, I, H, G, &amp;C.
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6867 <pb n=153>
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diff changeset
6868 <C>Propo$itio II. Ph&aelig;nomenon II.</C>
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6869 <C>Salientes horizontales, &amp; medi&aelig;, eju$dem tubi, co
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parents:
diff changeset
6870 $unt longiores, qu&ograve; lumen tubi fuerit altius $upra
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diff changeset
6871 horizontem.</C>
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parents:
diff changeset
6872 <p>SIntin pr&aelig;cedenti diagrammate diverfi horizontes, OG, PS,
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diff changeset
6873 <MARG><I>Salientes eo
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parents:
diff changeset
6874 s&utilde;t longiores
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parents:
diff changeset
6875 qu&ograve; alti&ugrave;
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parents:
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6876 foramen
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parents:
diff changeset
6877 tubi.</I></MARG>
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parents:
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6878 QT, RV &amp;C. $upra quos elevatus $it tubus ABC; Dico $ali-
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6879 entem CHSTV (&amp; idem intelligendum e$t de reliquis $alienti-
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parents:
diff changeset
6880 bus horizontalibus, ac medijs) $upra horizontem RV, e$$e
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parents:
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6881 longiorem qu&agrave;m $upra horizontem QT, &amp; $upra hunc longio-
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6882 rem qu&agrave;m $upra PS, &amp; longiorem $upra hunc, qu&agrave;m $upra OG.
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parents:
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6883 Cre$cit itaque e&ograve; magis $alientium horizontalium ac mediarum
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parents:
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6884 longitudo, quo magis cre$cit luminis tubi $uper horizontem ele-
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6885 vatio. Si ver&ograve; in ex ce$$iva altitudine orificium poneretur; cer-
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6886 tum e$t aqu&aelig; ecdromen u$que ad terminum con$titutum flu-
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6887 xum non continuatur&atilde;, $ed cum tempore in guttas, &amp; tandem
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6888 in a&euml;rem re$olutum iri, ut experientia docuit in Cuppula S. Petri
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parents:
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6889 interiori, ex quo $cyphus plenus vino vel aqua effu$us ita evanuit
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6890 in intermedio a&euml;re, ut nullum pror$us ve$tigi&utilde; nec quidem gut-
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6891 tarum in inferiori pavimento ijs, qui $tudio id attendebant, ap-
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6892 paruerit, ut P. Kircherus mihi a$$eruit. Ex nubibus tamen de-
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6893 cidit guttatim in terram aqua, quia in magna copia &amp; continua-
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6894 t&aelig; decidunt gutt&aelig;.
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6895 <C>Annotatio I.</C>
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6896 <p><I>QVanta ver&ograve; $it $alientium in quavis tubi $upra horizontem eleva-
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6897 tione longitudo, inve$tigandum e$t ob$ervatione, quam quilibet
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6898 facil&egrave; poterit facere modo dicto Propo$itione pr&aelig;cedente. Mer$ennus
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6899 in $uis Ph&aelig;nomenis Propo$it.</I> XVI. <I>proponit paucas ex multis in $equen-
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6900 ti tabella, in qu&acirc; Prima Columna continet varias tubi pedalis, velpo-
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6901 ti&ugrave;s luminis tubi, $upra horizontem elevationes in pedibus, ita ut prima
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6902 elevatio $it unius pedis, $ecunda duorum pedum, &amp;c: Secunda ver&ograve; co-
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6903 lumna exhibet $alientium longitudines in pedibus &amp; digitis. Addidi</I>
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6904 <pb n=154>
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6905 <MARG><I>Salientium
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6906 tabella ex
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6907 Mer$enno.</I></MARG>
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6908 <I>ego ex eodem Mer$enno Propo$it.</I> 29. <I>$alientem tubi pedalis elevati p<*>
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6909 uno cum dimidio $upra horizontem.</I>
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6910 <table>
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6911 <TR><TD ALIGN="CENTER" COLSPAN="3">Altitudines tubi $upra
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6912 Horizontem.</TD><TD ALIGN="CENTER" COLSPAN="3">Longitudines $alientium</TD></TR>
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6913 <TR><TD></TD><TD ALIGN="CENTER">Pedes.</TD><TD></TD><TD></TD><TD ALIGN="CENTER">Pedes</TD><TD ALIGN="CENTER">Digi<*></TD></TR>
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6914 <TR><TD>1</TD><TD>----------</TD><TD>----------</TD><TD>1</TD><TD>----------</TD><TD>----------</TD></TR>
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6915 <TR><TD>1 1/2</TD><TD>----------</TD><TD>----------</TD><TD>2</TD><TD>----------</TD><TD>----------</TD></TR>
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6916 <TR><TD>2</TD><TD>----------</TD><TD>----------</TD><TD>2</TD><TD>----------</TD><TD>----------</TD></TR>
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6917 <TR><TD>3</TD><TD>----------</TD><TD>----------</TD><TD>3</TD><TD>----------</TD><TD>----------</TD></TR>
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6918 <TR><TD>4</TD><TD>----------</TD><TD>----------</TD><TD>3</TD><TD>----------</TD><TD>----------</TD></TR>
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6919 <TR><TD>5</TD><TD>----------</TD><TD>----------</TD><TD>4</TD><TD>----------</TD><TD>----------</TD></TR>
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6920 <TR><TD>6</TD><TD>----------</TD><TD>----------</TD><TD>4</TD><TD>----------</TD><TD>----------</TD></TR>
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6921 <TR><TD>12</TD><TD>----------</TD><TD>----------</TD><TD>5</TD><TD>----------</TD><TD>----------</TD></TR>
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6922 <TR><TD>18</TD><TD>----------</TD><TD>----------</TD><TD>6</TD><TD>----------</TD><TD>----------</TD></TR>
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6923 <TR><TD>26</TD><TD>----------</TD><TD>----------</TD><TD>8</TD><TD>----------</TD><TD>----------</TD></TR>
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6924 <TR><TD>50</TD><TD>----------</TD><TD>----------</TD><TD>10</TD><TD>----------</TD><TD>----------</TD></TR>
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6925 </TABLE>
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6926 <C>Annotatio II.</C>
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6927 <p><I>Idem Mer$ennus loco citato Propo$it.</I> XVII. <I>ait tubum quadrupeda
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6928 lem habentem altitudinem unius pedis $upra horizontem, ejicere $ali
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6929 entem horizontalem ad pedes</I> 3 2/3 <I>proxim&egrave;.</I>
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6930 <C>Propo$itio III. Ph&aelig;nomenon. III.</C>
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6931 <C>Salientes horizontales &amp; medi&aelig;, eandem longitudinis
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6932 rationem $ervant, qu&agrave;m altitudines tuborum $upra eun-
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6933 dem horizontem.</C>
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6934 <p>DIver$as tubi eiu$dem altitudines $upra horizontem referant
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6935 in $equenti diagrammate line&aelig; OG, PS, QT, RV. Dico, ut
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6936 <pb n=155>
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6937 <FIG>
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6938 altitudo BO ad altitudi-
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6939 <MARG><I>Salientes e-
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6940 andem lon-
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6941 gitudinis
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6942 proportion&etilde;
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6943 $ervant,
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6944 quam tubo-
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6945 rum altitu-
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6946 dines.</I></MARG>
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6947 nem BR, ita e$$e longitu-
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6948 nem $alientis CH ad lon-
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6949 gitudinem $alientis CV.
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6950 Intelligendum autem hoc
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6951 e$t de illis $alientium lon-
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6952 gitudinibus, quas ex datis
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6953 altitudinibus, ob$ervare
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6954 commod&egrave; po$$umus: nam
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6955 c&ugrave;m ne$ciamus, utrum, &amp;
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6956 ubi $alientium incremen-
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6957 tum $it de$iturum, $i ele-
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6958 vatio tubi $upra horizon-
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6959 tem &aelig;quaretur terr&aelig; $e-
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6960 midiametro; non pote$t
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6961 Propo$itio pr&aelig;$ens e$$e u-
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6962 niver$alis, ni$i in $en$u ex-
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6963 explicato.
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6964 <C>Propo$itio IV.</C>
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6965 <C>Ph&aelig;nomenon IV.</C>
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6966 <C>Salientium verticali-
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6967 um in quacunq; elevatio-
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6968 ne tubi $upra horizontem
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6969 $emper eadem e$t alti-
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6970 tudo.</C>
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6971 <p>ESto tubus ABC pr&aelig;-
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6972 <MARG><I>Salientium
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6973 verticali-
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6974 um altitu-
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6975 do qu&aelig;.</I></MARG>
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6976 cedentis diagramma-
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6977 tis, &amp; $aliens EF, $itque
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6978 horizon RV, &amp; tubus $it mod&ograve; in Q, mod&ograve; in P, mod&ograve; in O,
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6979 mod&ograve; in B. Dico, $alientis EF altitudin&etilde; e$$e $emper eandem
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6980 in quacunque tubi elevatione $upra horizontem RV. In hori-
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6981 zontalibus $alientibus contrarium contingit, ut vidimus Pro-
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6982 po$itione II. Ratio Ph&aelig;nomeni e$t, qu&ograve;d altitudo $alientis
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6983 <pb n=156>
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6984 EF dependeat $ol&ugrave;m &agrave; tubilongitudine, &amp; lumine E, po$ito
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6985 &aelig;quali $emper medio $eu a&euml;re; at in horizontalibus longitudo
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6986 dependet etiam &agrave; figura $alientis, de qua Mer$ennus, &amp; Tor-
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diff changeset
6987 ricellus.
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diff changeset
6988 <C>Propo$itio V. Ph&aelig;nomenon V.</C>
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diff changeset
6989 <C>Saliens verticalis nunquam ad&aelig;quat altitu-
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diff changeset
6990 dinem originis.</C>
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diff changeset
6991 <MARG><I>Saliens ver
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diff changeset
6992 ticalis nun-
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diff changeset
6993 quam ad&aelig;-
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diff changeset
6994 quat altitu
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diff changeset
6995 dinem ori-
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diff changeset
6996 ginis.</I></MARG>
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diff changeset
6997 <p>NUnquam enim $aliens EF &aelig;quare pote$t altitudinem tubi
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diff changeset
6998 BA. Et eadem e$t ratio de alijs omnibus $alientibus, qua-
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diff changeset
6999 rum altitudo nunquam &aelig;quare pote$t altitudinem originis, $ive
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diff changeset
7000 origo $tatim tubo includatur, $ive non. Et ratio e$t, quia gra-
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diff changeset
7001 vitas humidi, &amp; re$i$tentia a&euml;ris impediunt pr&aelig;dictam ad&aelig;qua-
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diff changeset
7002 tionem.
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diff changeset
7003 <C>Propo$itio VI. Ph&aelig;nomenon VI.</C>
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diff changeset
7004 <C>Saliens verticalis tubi quadrupedalis proxim&egrave;
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diff changeset
7005 &aelig;quat 5/6 tubi $ui.</C>
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diff changeset
7006 <MARG><I>Saliens ver
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parents:
diff changeset
7007 ticalis tubi
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diff changeset
7008 quadrupe-
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diff changeset
7009 dalis.</I></MARG>
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diff changeset
7010 <p>OB$ervavit id Mer$ennus, a$$eritque in $uis Ph&aelig;nomenis Pro-
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diff changeset
7011 po$it. XVII. ubi ait, hanc $alientem po$$e e$$e reliquarum
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diff changeset
7012 modulum, $eu men$uram. Vide qu&aelig; diximus Propo$itione II.
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diff changeset
7013 Annot. 2. ubi idem quod h&icirc;c a$$eruimus.
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diff changeset
7014 <C>Propo$itio VII. Ph&aelig;nomenon VII.</C>
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diff changeset
7015 <C>Salientes verticales e&ograve; $unt longiores, qu&ograve; tubi $unt
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diff changeset
7016 longiores; $ed non e&acirc;dem proportione ill&aelig; ac hi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
7017 cre$cunt.</C>
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parents:
diff changeset
7018 <MARG><I>Salientium
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parents:
diff changeset
7019 verticali&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7020 longitudo
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parents:
diff changeset
7021 qu&adot; propor
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diff changeset
7022 tione cre-
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parents:
diff changeset
7023 $cat.</I></MARG>
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parents:
diff changeset
7024 <p>Vnde licet tuborum non adeo longorum $alientes verticales
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parents:
diff changeset
7025 $int proxim&egrave; 5/6, aut 2/3 $uorum tuborum; tamen in tubis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7026 longis $alientes verticales vix excedunt 1/4 tubi. Et hoc prove-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
7027 nit tum ob a&euml;ris re$i$tentiam, tum ob aqu&aelig; gravitatem. Ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7028 Mer$ennus in Ph&aelig;nomenis Propo$it. XVII.
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parents:
diff changeset
7029 <pb n=157>
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parents:
diff changeset
7030 <C>Propo$itio VIII. Problema I.</C>
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parents:
diff changeset
7031 <C>Data tubi altitudine, &amp; $upra horizontem elevatione,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7032 invenire longitudinem $alientis horizontalis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7033 &amp; medi&aelig;.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7034 <p>SIt altitudo tubi alta pedes 9, cuius os $it elevat&utilde; $upra horizon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7035 <MARG><I>Salientis ho
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parents:
diff changeset
7036 rizontalis
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parents:
diff changeset
7037 longitudi-
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parents:
diff changeset
7038 nem inve-
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parents:
diff changeset
7039 nire, data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7040 tubi altitu-
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parents:
diff changeset
7041 dine.</I></MARG>
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parents:
diff changeset
7042 tem pedes quinque, &amp; $itinvenienda longitudo $alientis hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7043 zontalis, aut medi&aelig;, huius tubi. Fieri hoc pote$t duplici vi&acirc;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7044 Prim&ograve; per ob$ervationem $ic. Applica orificio tubi epi$tomi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7045 um, aut tubulum horizontaliter, aut medio modo, prout opus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7046 fuerit, &amp; nota $alientis punctum pavimento impre$$um, iuxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7047 dicta Propo$it. 1. huius Capitis Annotat. II. Secund&ograve; per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7048 calculum $ic. Quoniam, per Propo$itionem I. hujus Capitis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7049 $alientium horizontalium &amp; mediarum, $uper eodem horizonte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7050 longitudines, $untin ratione $ubduplicata tuborum; &amp; per di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7051 cta Propo$it. 11. huius eiu$dem Capitis, tubus pedalis pedes quin-
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parents:
diff changeset
7052 que $upra horizontem elevatus habet $alientem longam pedes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7053 quatuor; $i inveniatur media proportionalis inter 1 &amp; 9, nempe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7054 3, erit h&aelig;c longitudo qu&aelig;$ita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7055 <C>Propo$itio IX. Problema II.</C>
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parents:
diff changeset
7056 <C>Data longitudine $alientis horizontalis, aut medi&aelig;,
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parents:
diff changeset
7057 invenire altitudinem tubi, cognit&acirc; eius elevatione $u-
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parents:
diff changeset
7058 pra horizontem.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7059 <p>SIt data longitudo $alientis horizontalis, aut medi&aelig;, pedum
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parents:
diff changeset
7060 <MARG><I>Salientis ho
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parents:
diff changeset
7061 rizontalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7062 longitudine
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parents:
diff changeset
7063 data inve-
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parents:
diff changeset
7064 nire tubi al
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parents:
diff changeset
7065 titudinem.</I></MARG>
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parents:
diff changeset
7066 octo, $it que tubus ip$ius elevatus $upra horizontem pedes
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parents:
diff changeset
7067 quinque, &amp; in venienda $it altitudo talis tubi. Quoniam, per
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parents:
diff changeset
7068 Pori$ma Propo$it. 1. huius Capitis, altitudines tuborum habent
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parents:
diff changeset
7069 duplicatam rationem eius, quam habent longitudines $alienti-
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casties
parents:
diff changeset
7070 um horizontalium, &amp; mediarum; &amp; quoniam $aliens horizon-
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parents:
diff changeset
7071 talis tubi unius pedis, elevati $upra horizontem quinque pedi-
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casties
parents:
diff changeset
7072 bus, e$t pedum quatuor; $i rationem pr&aelig;dictarum $alientium,
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parents:
diff changeset
7073 nempe 8 ad 4, duplices, $eu bis $umas $ic: 16, 8. 4; erit tertius
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casties
parents:
diff changeset
7074 numerus 16, altitudo tubi qu&aelig;$ita, hic enim numerus 16
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parents:
diff changeset
7075 ad 4, habet duplicatam rationem eius quam
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casties
parents:
diff changeset
7076 habet 8 ad 4.
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casties
parents:
diff changeset
7077 <pb n=158>
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casties
parents:
diff changeset
7078 <C>Propo$itio X. Problema III.</C>
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casties
parents:
diff changeset
7079 <C>Ex nota $caturiginis altitudine fontis unius ex tubo exi-
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casties
parents:
diff changeset
7080 lientis horizontaliter, altitudinem $caturiginis cuiuscun-
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casties
parents:
diff changeset
7081 que alterius &aelig;qualiter $upra horizontem elevati
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diff changeset
7082 invenire.</C>
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7083 <MARG><I>Fontis alti-
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7084 tudine $ca-
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diff changeset
7085 turiginis da
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diff changeset
7086 ta, in venire
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diff changeset
7087 alias.</I></MARG>
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diff changeset
7088 <table>
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diff changeset
7089 <TR><TD>A</TD><TD>10.</TD><TD>B --</TD></TR>
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diff changeset
7090 <TR><TD>8.</TD><TD></TD><TD>12.</TD></TR>
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diff changeset
7091 <TR><TD>10.</TD><TD>15.</TD><TD>22 1/2.</TD></TR>
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diff changeset
7092 </TABLE>
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diff changeset
7093 <p>SIt $caturigo fontis unius A alta pedes 10; O.
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diff changeset
7094 porteat invenire altitudinem $caturiginis fon-
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diff changeset
7095 tis B. Idem lumen, $eu eundem tubulum ap-
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diff changeset
7096 plica horizontaliter ad utriu$que fontis o$cu-
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diff changeset
7097 lum, &amp; ob$erva $alientium horizontalium longitudinem; $itque
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diff changeset
7098 fontis A longitudo pedum 8, fontis ver&ograve; B longitudo $it
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diff changeset
7099 pedum 12. Fiat igitur, ut 8 ad 12, ita 10 ad aliud, nempe ad
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diff changeset
7100 15; &amp; iterum, ut 10 ad 15, ita 15 ad aliud, nempe ad (22 3/10), $ive
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diff changeset
7101 1/2; eritque altitudo $caturiginis fontis B pedum 22 1/2.
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diff changeset
7102 <p>Demon$tratio. Per Pori$ma Propo$it. 1. hujus Capitis,
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diff changeset
7103 altitudines tuborum habent duplicatam rationem ejus, quam
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diff changeset
7104 habent longitudines $alientium horizontalium. Quoniam ergo
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diff changeset
7105 10, nempe altitudo $caturiginis A, e$t ad 22 1/2 in duplicata ra-
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diff changeset
7106 tione eius, quam habet 10 ad 15, hoc e$t, quam habet 8 ad 12,
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diff changeset
7107 $aliens nempe fontis A, ad $alient&etilde; fontis B; erit nece$$ari&ograve;
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parents:
diff changeset
7108 22 1/2 altitudo $caturiginis fontis B qu&aelig;$ita.
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diff changeset
7109 <p>Atque h&aelig;c $ufficiant de tuborum $eu fontium $alientibus;
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7110 qui plura de$iderat, legat Mer$ennum in Hydraulicis Ph&aelig;no-
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diff changeset
7111 menis, &amp; Torricellum lib. 2. de Motu projectorum &agrave; fol. 191. ubi
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diff changeset
7112 incipit agere de Motu aquarum.
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parents:
diff changeset
7113 <C>CAPVT V.</C>
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diff changeset
7114 <C>De fluxu Aqu&aelig; per diver$a eiu$dem va$is
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diff changeset
7115 aut tubi foramina.</C>
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7116 <MARG><I>Proprieta-
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parents:
diff changeset
7117 tes <*>uxus
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diff changeset
7118 aqu<*> per di-
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7119 ver$a eius-
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parents:
diff changeset
7120 dem tubs
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parents:
diff changeset
7121 au: va$is
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parents:
diff changeset
7122 foramma.</I></MARG>
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parents:
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7123 <p>HActenus locuti $umus de aqu&aelig; fluxu per foramina tu-
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7124 borum verticali&utilde; tum horizontalia, tum lateralia, &amp;
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diff changeset
7125 tubos cum tubis, aquas cum aquis, foramina cum fo-
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parents:
diff changeset
7126 raminibus diver$orum tuborum comparavimus;
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diff changeset
7127 nunc eiu$dem tubi &amp; va$is cuiu$cunq; foramina diver$a inter $e$e
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diff changeset
7128 <pb n=159>
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diff changeset
7129 conferemus breviter &amp; methodic&egrave;, in$i$tentes ve$tigijs Ioannis
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diff changeset
7130 Bapti$t&aelig; Baliani lib. 6. de Motu naturali gravium &amp; liquidorum.
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parents:
diff changeset
7131 Quibus tamen multa addi po$$unt ex dictis Capite pr&aelig;cedenti.
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diff changeset
7132 Sermo autem e$t h&icirc;c etiam, uti in pr&aelig;cedentibus, de tu-
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parents:
diff changeset
7133 bis ac va$is verticaliter erectis, $ive cylindrica illa $int, $ive pri$-
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diff changeset
7134 matica; &amp; $ive foramina $int rectangula, $ive circularia. Pr&aelig;mit-
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parents:
diff changeset
7135 tamus ergo $equentes.
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parents:
diff changeset
7136 <C>Petitiones.</C>
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parents:
diff changeset
7137 <MARG><I>Petitiones
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parents:
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7138 pro fluxu a-
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parents:
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7139 qu&aelig; ex fora
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parents:
diff changeset
7140 minibus tu
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parents:
diff changeset
7141 borum.</I></MARG>
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parents:
diff changeset
7142 <p>1. Vbi omnia $unt &aelig;qualia, effectus $unt &aelig;quales.
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7143 <p>2. Quantitates eiusdem generis $unt omnes commen-
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diff changeset
7144 $urabiles, <I>$altem phy$ic&egrave;, ut dicemus Propo$it.</I> 2. <I>in
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parents:
diff changeset
7145 Annotat.</I>
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parents:
diff changeset
7146 <p>3. Aqua tran$iens per tubi $eu va$is foramen, decurrit
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parents:
diff changeset
7147 &agrave; $ummo va$is ad foramen, tanquam per canalem
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parents:
diff changeset
7148 columnarem, cuius ba$is foramen.
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parents:
diff changeset
7149 <C>Annotatio I.</C>
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parents:
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7150 <p><I>TErtia h&aelig;c Petitio eadem e$t cum Propo$it.</I> 1. <I>Capitis tertij pr&aelig;ceden-
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parents:
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7151 <MARG>Aqua in-
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parents:
diff changeset
7152 $tar colum-
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parents:
diff changeset
7153 na effluit
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7154 ex forami-
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7155 ne ba$is in
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parents:
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7156 va$e.</MARG>
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7157 tis. Et licet ibi locuti tant&ugrave;m fuerimus de foraminibus exi$tenti-
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diff changeset
7158 bus in ba$i tuborum verticaliter erectorum, h&icirc;c tamen idem concedi no-
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7159 bis petimus etiam de foraminibus in tuborum va$orumque lateribus exi-
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diff changeset
7160 $tentibus, propter paritatem rationis. Petimus itaque nobis concedi,
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diff changeset
7161 qu&ograve;d $i in latere tubi, aut va$is</I> AB <I>fiat foramen</I> B, <I>decurrat aqua &agrave;</I>
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parents:
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7162 <FIG>
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parents:
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7163 <I>va$is $umitate ad foramen u$que in$tar column&aelig;, cu-
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7164 ius ba$is e$t &aelig;qualis foramini, altitudo perpendicula-
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7165 res $uper foraminis diametro erect&aelig;, prout in appo-
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7166 $ita figura e$t columna</I> ABCD. <I>Ratio pote$t e$$e,
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7167 quia ex dictis Capite</I> 1 <I>patet aquam non premere
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parents:
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7168 ni$i partes $ibi perpendiculariter $ubiectas, dum aqua
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parents:
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7169 e$t de$cendens in aliquo, $eu ex aliquo effluens, prout
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7170 h&icirc;c $it.</I>
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7171 <pb n=160>
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parents:
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7172 <C>Propo$itio I. Theorema I.</C>
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7173 <C>Per foramina &aelig;qualia, &aelig;qu&egrave; &agrave; $ummo tubi di$tantia,
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casties
parents:
diff changeset
7174 $ive in ba$i, $ive in latere, &aelig;quali tempore &aelig;quales fluunt
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casties
parents:
diff changeset
7175 aquarum quantitates.</C>
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casties
parents:
diff changeset
7176 <FIG>
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casties
parents:
diff changeset
7177 <p>IN va$e, $eu tubo AB, $int foramina C &amp; D
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casties
parents:
diff changeset
7178 &aelig;qualia, &amp; horizontalia (&amp; eadem e$t ra-
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casties
parents:
diff changeset
7179 tio, $i lateralia e$$ent, &aelig;qu&egrave; &agrave; $ummitate di-
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casties
parents:
diff changeset
7180 $tantia) per qu&aelig; aqua &aelig;quali, vel poti&ugrave;s eo-
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casties
parents:
diff changeset
7181 dem tempore decurrat. Dico, aquas de-
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casties
parents:
diff changeset
7182 <MARG><I>Aqu&aelig; flu-
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casties
parents:
diff changeset
7183 xus ex&aelig;qua
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casties
parents:
diff changeset
7184 libus fora-
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casties
parents:
diff changeset
7185 minibus va
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casties
parents:
diff changeset
7186 forum.</I></MARG>
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casties
parents:
diff changeset
7187 cur$as (liceat ita loqui) e$$e &aelig;quales inter
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casties
parents:
diff changeset
7188 $e. Vbi enim omnia $unt &aelig;qualia, effectus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7189 $unt &aelig;quales, per Petitionem primam hujus
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casties
parents:
diff changeset
7190 Capitis: at h&icirc;c omnia $unt &aelig;qualia, $cilicet foramina, column&aelig;
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casties
parents:
diff changeset
7191 aque&aelig;, vis premendi, &amp; $imilia; ergo effectus, qui $unt aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7192 decur$&aelig;, &aelig;quales $unt. Per foramina ergo &aelig;qualia, &amp;c. Quod
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casties
parents:
diff changeset
7193 erat o$ten dendum.
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casties
parents:
diff changeset
7194 <C>Annotatio.</C>
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casties
parents:
diff changeset
7195 <p><I>ET hoc verum e$t, $ive vas $it $emper plenum, $ive non. Eadem e$t
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casties
parents:
diff changeset
7196 ratio, $i va$a $int cylindrica, &amp; foramina rotunda, ut diximus et-
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casties
parents:
diff changeset
7197 iam paul&ograve; ant&egrave;, &amp; $emper in $equentibus dictum volumus.</I>
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casties
parents:
diff changeset
7198 <C>Pori$ma.</C>
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casties
parents:
diff changeset
7199 <p>SEquitur hinc, $i ex duobus eiu$dem va$is foraminibus &aelig;qua-
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parents:
diff changeset
7200 liter &agrave; $ummo va$is di$tantibus aqu&aelig; decurrentes eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7201 pore &aelig;quales $unt, foramina e$$e &aelig;qualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7202 <C>Propo$itio II. Theorema II.</C>
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casties
parents:
diff changeset
7203 <C>Aqu&aelig; &egrave; foraminibus &aelig;qualiter &agrave; $ummo tubi di$tanti-
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casties
parents:
diff changeset
7204 bus decurrentes, $unt inter $e ut foramina.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7205 <p>IN tubo $eu va$e AB, $int duo foramina rectangula in&aelig;qualia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7206 C minus, &amp; D maius, $ed ambo horizontalia, atq; adeo &aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7207 qu&egrave;alta, $eu &aelig;qualiter &agrave; va$is $ummitate remota; &amp; aqua de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7208 cur$a per C $it E, aqua ver&ograve; decur$a per D $it F. Dico, a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7209 quam E decur$am per C, habere $e ad aquam F decur$am
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casties
parents:
diff changeset
7210 <pb n=161>
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casties
parents:
diff changeset
7211 <FIG>
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casties
parents:
diff changeset
7212 per D, ut$e habet foramen C ad foramen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7213 <MARG><I>Proportio
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casties
parents:
diff changeset
7214 aqu&aelig; efflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7215 entis ad fo-
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casties
parents:
diff changeset
7216 ramina.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7217 D. Quoniam enim, per Petitionem $e-
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casties
parents:
diff changeset
7218 cundam hujus, quantitates eiusdem gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7219 ris $unt commen$urabiles, erunt longitu-
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parents:
diff changeset
7220 dines C &amp; D commen$urabiles. Siter-
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casties
parents:
diff changeset
7221 go communis earum men$ura G, &amp; $ecen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7222 tur dict&aelig; longitudines C &amp; D in partes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7223 qu&aelig; $int &aelig;quales ip$i G; quibus divi$is &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7224 transver$alib<SUP>9</SUP> lineis perp&etilde;dicularib<SUP>9</SUP>, fiant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7225 totforamina, quot $unt dict&aelig; partes. Tum
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casties
parents:
diff changeset
7226 $ic. Huiu$modi foramina erunt omnia inter $e &aelig;qualia, ex con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7227 $tructione, &amp; per 36. Primi Euclid. Ergo ex eis effluent eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7228 tempore quantitates aqu&aelig; &aelig;quales, per Propo$it 1. huius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7229 Quot igitur $unt foramina in C &amp; D, toterunt quantitates a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7230 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7231 quarum &aelig;quales in E &amp; F. C&ugrave;m igitur $int qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7232 tuor magnitudines, C, D, E, F, quarum prima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7233 C e$t ad $ecundam E, ut e$t tertia D, ad quar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7234 tam F; erit etiam vici$$im $eu permutando ut C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7235 ad D, ita E ad F, per decimam $extam Quinti Euclidis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7236 <C>Annotatio</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7237 <p><I>QVamvis contingere po$$it, ut longitudines</I> CD <I>non $int commen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7238 $urabiles, ac proinde</I> G <I>non $it earum communis men$ura; nihil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7239 refert, quia h&icirc;c non $umus in Mathematicis, $ed in Phy$icis, ubi non ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7240 betur ratio in$en$ibilium.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7241 <C>Propo$itio III. Theorema III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7242 <C>Aqua per foramina va$is eo impetu $eu velocitate de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7243 currit, quo per tubos &aelig;qualium foraminum &amp; alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7244 tudinum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7245 <FIG>
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casties
parents:
diff changeset
7246 <p>SIt vas CD, in quo foramen D, al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7247 titudo va$is CD; &amp; $it tubus AB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7248 perpendicularis, in quo foramen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7249 B $it &aelig;quale foramini D, &amp; altitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7250 AB &aelig;qualis altitudini CD. Dico,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7251 in B &amp; D impetus $eu velocitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7252 <pb n=162>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7253 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7254 <MARG><I>Aqu&aelig; flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7255 xus exfora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7256 minibus ve
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7257 lociter qu&aelig;.</I></MARG>
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casties
parents:
diff changeset
7258 aqu&aelig; effluentis e$$e &aelig;quales. Quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7259 niam enim aqua fluens &egrave; foramine D,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7260 decurrit per $patium CD, ac $i de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7261 curreret per tubum AB perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7262 cularem eiusdem longitudinis, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7263 Petitionem tertiam huius; in D &amp; B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7264 $ortitur impetus $eu velocitates &ecedil;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7265 les, per Corollarium quintum Propo$itio. 9. Capitis III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7266 <C>Propo$itio IV. Theorema IV.</C>
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casties
parents:
diff changeset
7267 <C>Velocitates aqu&aelig; decurrentis per foramina &aelig;qualia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7268 eiu$dem va$is, in&aelig;qualiter di$tantia &agrave; $ummo va$is, $untin
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7269 $ubduplicata ratione di$tanti&aelig;.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7270 <FIG>
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casties
parents:
diff changeset
7271 <p>SInt in va$e AC foraminum &aelig;qualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7272 B &amp; C, di$tanti&aelig; &agrave; $ummo va$is AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7273 AC; $itque media inter illas AD. Dico,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7274 impetum $eu velocitatem in C, ad impe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7275 tum $eu velocitatem in B, e$$e ut AD ad AB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7276 <MARG><I>Proportio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7277 dict&aelig; velo-
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casties
parents:
diff changeset
7278 citatis ad
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casties
parents:
diff changeset
7279 foraminum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7280 di$tantiam.</I></MARG>
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casties
parents:
diff changeset
7281 Quoniam enim, per Propo$it. tertiam hu-
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casties
parents:
diff changeset
7282 jus, aqua per foramina B &amp; C decurrit eo
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casties
parents:
diff changeset
7283 impetu, quo per tubos &aelig;qualium foraminum &amp; altitudinum;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7284 erunt per Propo$it. 10. Capitis tertij, velocitates aqu&aelig; in C &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7285 B, ut AD ad AB, hoc e$t, velocitas apud C erit media pro-
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casties
parents:
diff changeset
7286 portionalis inter altitudines AC, AB, atque adeo $ubduplica-
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casties
parents:
diff changeset
7287 tam rationem habebit pr&aelig;dictarum altitudinum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7288 <C>Propo$itio V. Theorema V.</C>
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casties
parents:
diff changeset
7289 <C>Aqu&aelig; per &aelig;qualia foramina in&aelig;qualiter &agrave; $ummitate
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casties
parents:
diff changeset
7290 va$is di$tantia fluentes, $unt in $ubduplicata ratione
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casties
parents:
diff changeset
7291 di$tantiarum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7292 <p>IN va$e AC, pr&aelig;cedentis Propo$itionis, altitudines &agrave; forami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7293 nibus &aelig;qualibus B &amp; C, ad $ummum va$is A, $int AB, AC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7294 quarum media $it AD. Dico, aquam fluentem per C,
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casties
parents:
diff changeset
7295 ad aquam fluentem per B, e$$e ut AD, ad AB, hoc e$t,
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casties
parents:
diff changeset
7296 e$$e mediam proportionalem, ideoque habere $ubduplicatam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7297 <pb n=163>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7298 rationem altitudinum pr&aelig;dictarum. Quoniam enim aqua flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7299 it per B &amp; C veluti per tubos, per Petitionem tertiam; a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7300 qu&aelig; autem per tubos &aelig;qualium altitudinum, $unt in $ubdupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7301 cata ratione altitudinum tuborum, per propo$it. 8. Capitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7302 tertij; con$tat propo$itum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7303 <C>Propo$itio VI. Problema I.</C>
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casties
parents:
diff changeset
7304 <C>Secto foramine laterali va$is in partes &aelig;quales, &agrave; rectis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7305 horizontalibus, invenire rationes aquarum ex eis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7306 fluentium.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7307 <FIG>
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casties
parents:
diff changeset
7308 <p>IN va$e ST $ecetur foramen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7309 <MARG><I>Problemata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7310 varia de flu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7311 xu aqu&aelig; per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7312 foramina
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7313 va$orum.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7314 laterale AB in partes &aelig;quales
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casties
parents:
diff changeset
7315 AC, CD, DB, &agrave; rectis lineis hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7316 zontalibus, ut fiant totidem fo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7317 ramina, quorum altitudines $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7318 not&aelig;; &amp; per AC fluat aqua E,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7319 per CD aqua F, per DB aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7320 G, tempore &aelig;quali $eu eodem:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7321 oporteat&qacute;ue venari proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7322 nem aquarum E, F, G. Fiant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7323 HI, KL, MN, altitudines forami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7324 num AC, CD, DB, &agrave; $ummo va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7325 $is; &amp; inter ip$as medi&aelig; proportionales OP, QR, per decimam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7326 tertiam Sexti Euclidis, aut per propo$it. 3. Parergi Capitis tertij
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7327 pr&aelig;cedentis. Quoniam igitur aqua E ad aquam F, e$t ut HI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7328 ad OP, per Propo$it. 5. huius Capitis, nota e$t ratio aqu&aelig; E ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7329 aquam F. Item quoniam aqua F ad aquam G, e$t ut KL ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7330 QR, per eandem Propo$it. 5. huius Capitis, nota e$t pariter ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7331 tio aqu&aelig; F ad aquam G: At ratioaqu&aelig; E ad aquam G com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7332 po$ita rationum inter EF &amp; FG notarum, e$t pariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7333 nota; Reperta e$t igitur ratio aquarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7334 E, F, G.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7335 <pb n=164>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7336 <C>Propo$itio VII. Problema II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7337 <C>Secto foramine laterali va$is in partes in&aelig;quales, &agrave; re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7338 ctis horizontalibus, reperire rationes aquarum efflu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7339 entium ex ip$is.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7340 <FIG>
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casties
parents:
diff changeset
7341 <p>FOramen CD va$is AB $ecetur &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7342 recta E in partes in&aelig;quales CE, ED;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7343 &amp; effluat ex parte $uperiore e E aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7344 F, ex inferiori ver&ograve; ED aqua G, eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7345 dem tempore. Qu&aelig;ritur proportio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7346 F ad G. Si ED foramen minus non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7347 men$urat CE, reperiatur eorum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7348 xima communis men$ura, per tertiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7349 Decimi Euclidis, qu&aelig; $it H; &amp; juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7350 eam $ecetur CE in partes CQ, QK, KE; item ED in partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7351 EI, ID. Quoniam igitur foramen CD $ectum e$t in partes CQ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7352 QK, KE, EI, ID, &aelig;quales per con$tructionem; reperietur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7353 Propo$it. 6. hujus Capitis, ratio aquarum per eas fluentium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7354 ac proinde aquarum fluentium per CE, &amp; ED.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7355 <C>Propo$itio VIII. Problema III.</C>
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casties
parents:
diff changeset
7356 <C>Datis foraminibus in&aelig;qualibus $uper eadem horizon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7357 tali, venari rationes aquarum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7358 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7359 <p>SInt foramina AB, &amp; CD, $uper ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7360 rizontali BD, utrumque laterale;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7361 Qu&aelig;renda&qacute;ue $it proportio aquarum ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7362 eis eodem tempore fluentium. Produ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7363 catur recta CEG, parallela rect&aelig; DB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7364 dividatur&qacute;ue foramen AB in duo fo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7365 ramina AG, GB. Quoniam igitur no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7366 ta e$t ratio aquarum fluentium ex CD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7367 &amp; GB, per Propo$it. 2. hujus Capitis; item ratio aquarum BG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7368 &amp; GA, per Propo$it. 7. pr&aelig;cedentem; nota pariter e$t ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7369 ex eis compo$ita inter aquas fluentes per CD, &amp; AG. C&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7370 <pb n=165>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7371 igitur nota $it ratio aqu&aelig; fluentis per CD, ad aquam fluentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7372 per BG, &amp; per GA partes; nota erit ratio eiu$dem ad totam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7373 fluentem per AB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7374 <C>Propo$itio IX. Problema IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7375 <C>Datis foraminibus eiu$dem va$is, quorum vnum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7376 perius, alterum inferius, inter easdem parallelas perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7377 diculares, reperire rationes aquarum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7378 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7379 <p>DEntur foramina AB, CD, inter parallelas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7380 easdem perpendiculares AC, &amp; BD, $it&qacute;;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7381 venanda ratio aquarum ex eis, &aelig;quali tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7382 pore, fluentium. Concipiatur BC, tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7383 quam foramen inter easdem parallelas. Quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7384 niam igitur nota e$t ratio aquarum fluentium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7385 ex CD, &amp; ex CB, per Propot. 7. hujus Ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7386 pitis; item ex CB, &amp; BA, per eandem Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7387 po$itionem $eptimam, nota erit pariter ratio aquarum fluenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7388 um per CD, &amp; AB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7389 <C>Propo$itio X. Problema V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7390 <C>Datis foraminibus eiu$dem va$is, quorum vnum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7391 perius, alterum inferius, non inter ea$dem parallelas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7392 repire rationes aquarum.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7393 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7394 <p>DAta $int foramina AD, EH; oporte-
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casties
parents:
diff changeset
7395 atque reperire rationes aquarum per il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7396 la &aelig;quo tempore fluentium. Duc hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7397 zontales HI, EK, &amp; producta DB in L,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7398 concipiatur IL tanquam foramen inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7399 ea$dem parallelas cum AD; &amp; qu&aelig;ratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7400 ratio aquarum per AD, IL fluentium, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7401 Propo$it. 9. hujus Capitis, &amp; $it ut M ad N.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7402 Item qu&aelig;ratur ratio IL ad EH, per Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7403 po$it. 2. hujus Capitis, &amp; $it ut N ad O.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7404 Dico, M ad O e$$e rationem aquarum per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7405 AD, &amp; HE fluentium. Quoniam enim ut M ad N, ita e$t AD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7406 ad IL; &amp; ut N ad O, ita IL ad EH, per con$tructionem: Erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7407 <pb n=166>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7408 ex &aelig;quo, per vige$imam $ecundam Quinti Euclid. ut M ad O,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7409 ita aqua per AD adaquam per EH fluentem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7410 <C>Propo$itio XI. Problema VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7411 <C>Dato foramine, &amp; linea horizontali, in aliquo va$e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7412 con$tituere $uper illa foramen, &egrave; quo &aelig;qualis aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7413 fluat eodem tempore.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7414 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7415 <p>SIt datum foramen AM, &amp; hori-
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casties
parents:
diff changeset
7416 zontalis CD; $itque de$criben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7417 dum foramen $uper CD, &egrave; quo ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7418 fluat eodem $eu &aelig;quali tempore, a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7419 qua ut per AM. Erigantur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7420 pendiculares AE, MC, &amp; produ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7421 catur DC in E, &amp; $uper EC fiat fo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7422 ramen &aelig;quale foramini AM, &amp; $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7423 FC; &amp; ducta FG parallela ip$i CD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7424 fiat HI media inter KB, &amp; KE: &amp; tandem fiat, ut HI ad KE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7425 ita DL ad EC. Dico, foramen LG e$$e foramen qu&aelig;$itum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7426 per quod &aelig;quali tempore fluat aqua ut per AM. Quoniam e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7427 nim, per Propo$it. 2. hujus Capitis, aqua foraminis LG ad a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7428 quam foraminis FC, e$t ut DL ad CE, hoc e$t, HI, ad KE; &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7429 per Propo$it. 5. hujus Capitis, aqua foraminis AM ad aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7430 foraminis CF, e$t ut eadem HI, ad KE; erit ut aqua LG ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7431 CF, ita aqua AM ad CF, per undecimam Quinti Euclidis, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7432 proinde aqua foraminis AM erit &aelig;qualis aqu&aelig; foraminis LG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7433 per nonam Quinti Euclid. &amp; per 1. Axio. lib. 1. Euclid.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7434 <C>Annotatio.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7435 <p><I>POte$t tamen horizontalis data e$$e tam vicina $ummitati va$is, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7436 qu&aelig;$itum foramen ficri non po$$it, nec hoc, nec alio modo: &amp; tunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7437 Problema e$t in$olubile.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7438 <C>Propo$itio XII. Problema VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7439 <C>Dato foramine, &amp; latere alterius in eodem va$e, reperi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7440 re foramen, &egrave; quo &aelig;qualis aqua effluat.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7441 <pb n=167>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7442 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7443 <p>DAtum $it foramen AB, &amp; latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7444 DC, in eodem va$e; oporteatq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7445 de$cribere foramen, cujus latus $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7446 DC, &amp; &egrave; quo effluat eodem tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7447 aqua ut ab AB. Ductis CN, &amp; DF ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7448 rizontalibus, &amp; &ptail;ducta BE, reperiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7449 ratio aquar&utilde; fluenti&utilde; ex AB, &amp; FE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7450 per Propo$it. 9. hujus Capitis, qu&aelig; $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7451 ut G ad H; &amp; fiat, ut H ad G, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7452 FI ad FK, per decimam tertiam Sex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7453 ti Euclid. &amp; Propo$it. 3. Parergi Capitis 3; &amp; &agrave; K erigatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7454 perpendicularis KL, &amp; tandem fiat foramen, cujus latus DC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7455 &aelig;quale &amp; $imile ip$i FL foramini, &amp; $it DM. Dico, &egrave; foramine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7456 DM fluere aquam, ut ex AB foramine. Quoniam enim aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7457 fluens ex AB, ad aquam fluentem ex FE, e$tut G ad H, per con-
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parents:
diff changeset
7458 $tructionem; item aqua fluens per FL, $eu ei &aelig;quale DM, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7459 fluentem per idem FE, e$t itidem ut G ad H, per Propo$it. 2.
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parents:
diff changeset
7460 hujus Capitis; erunt aqu&aelig; fluentes per AB, &amp; per DM, inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7461 &aelig;quales, per nonam Quinti Euclidis. Igitur DM erit foramen
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casties
parents:
diff changeset
7462 qu&aelig;$itum.
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casties
parents:
diff changeset
7463 <C>Propro$itio XIII. Problema VIII.</C>
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parents:
diff changeset
7464 <C>Dato foramine, reperire aliud &aelig;quale in eodem va$e, &egrave;
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parents:
diff changeset
7465 quo fluat aqua in ratione data.</C>
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casties
parents:
diff changeset
7466 <FIG>
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casties
parents:
diff changeset
7467 <p>DEtur in va$e AB foramen C, &amp; da-
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parents:
diff changeset
7468 ta $it ratio aquarum D, E, quarum
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casties
parents:
diff changeset
7469 D fluat in dato tempore per foramen C;
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parents:
diff changeset
7470 reperiendum ver&ograve; $it, ubi fiat &aelig;quale
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parents:
diff changeset
7471 foramen, &egrave; quo fluat in &aelig;quali tempore
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parents:
diff changeset
7472 aqua E. Fiat ad D, E, AC, quarta pro-
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parents:
diff changeset
7473 portionalis AF, per duodecimam Sexti
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parents:
diff changeset
7474 Euclid. aut Propo$it. 8. Parergi Capitis
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casties
parents:
diff changeset
7475 tertij pr&aelig;cedentis; &amp; ad AC, AF, ter-
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parents:
diff changeset
7476 tia proportionalis AG, per vndecimam
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parents:
diff changeset
7477 <pb n=168>
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parents:
diff changeset
7478 <FIG>
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parents:
diff changeset
7479 $exti Euclid. aut per Propo$it. 6. Paret-
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parents:
diff changeset
7480 gi citati; &amp; in G fiat foramen, (quod
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casties
parents:
diff changeset
7481 $i fieri nequit, Problema e$t in$olubile.)
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parents:
diff changeset
7482 Dico, G e$$e locum foraminis qu&aelig;$iti.
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parents:
diff changeset
7483 Quoniam enim aqu&aelig; fluentes per dicta
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parents:
diff changeset
7484 foramina $unt in $ubduplicata ratione
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casties
parents:
diff changeset
7485 altitudinum AC, AG, per Propo$it. 5.
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parents:
diff changeset
7486 hujus capitis; &amp; aqu&aelig; D, &amp; E $unt pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7487 riter in $ubduplicata ratione dat&aelig; altitu-
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parents:
diff changeset
7488 dinis AC, &amp; inveniend&aelig; altitudinis, per
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parents:
diff changeset
7489 eandem Propo$itionem 5. hujus capitis; $equitur aquas fluen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7490 tes per dicta foramina C &amp; G, e$$e ut aquas D &amp; E.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7491 <C>Propo$itio XIV. Problema IX.</C>
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parents:
diff changeset
7492 <C>Dato foramine, aptare in eodem va$e aliud datum $i-
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parents:
diff changeset
7493 mile, magnitudinis diver$&aelig;, &agrave; quo aqua fluens cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7494 fluente &agrave; primo, habeat rationem datam.</C>
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casties
parents:
diff changeset
7495 <FIG>
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parents:
diff changeset
7496 <p>IN va$e AB, datum $it foramen C, &amp;
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parents:
diff changeset
7497 aliud ad$ignatum D $imile, $ed diver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7498 $&aelig; magnitudinis, $ive majoris, $ive mi-
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casties
parents:
diff changeset
7499 noris; ratio ver&ograve; aquarum data $it E, F.
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casties
parents:
diff changeset
7500 Aptandum $it foramen D ad$ignatum
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parents:
diff changeset
7501 e&acirc; lege, ut aqua per illud fluens, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7502 aqua fluente ex C, $it ut E ad F.
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parents:
diff changeset
7503 Super horizontali ducta CG, fiat fora-
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parents:
diff changeset
7504 men G, &aelig;quale foramini D; &amp; perqui-
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parents:
diff changeset
7505 ratur ratio aquarum fluentium per C
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parents:
diff changeset
7506 &amp; G, per Propo$it. 8. hujus capitis, &amp;
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parents:
diff changeset
7507 $it ut E ad H. Qu&aelig; $i e$t eadem qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7508 e$t inter E &amp; F, habemus intentum:
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parents:
diff changeset
7509 Sin min&ugrave;s, fiat aliud foramen infra aut
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parents:
diff changeset
7510 $upra G, ei $imile &amp; &aelig;quale, &agrave; quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7511 fluat aqua, qu&aelig; cum fluente ab ip$o G
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parents:
diff changeset
7512 habeat rationem ut H ad F, &amp; $it I,
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parents:
diff changeset
7513 Quod $i fieri nequit, Problema e$t in-
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parents:
diff changeset
7514 <pb n=169>
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casties
parents:
diff changeset
7515 $olubile.) Dico, I e$$e foramen qu&aelig;$itum. Quoniam enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7516 aqua C ad aquam G, e$t ut E ad H; &amp; aqua G ad aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7517 I, e$t ut H ad F, ex con$tructione &amp; operatione facta; erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7518 ex &aelig;quo etiam aqua C ad aquam I, ut E ad F, per vige-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7519 $imam $ecundam Quinti Euclidis.
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parents:
diff changeset
7520 <C>CAPUT VI.</C>
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parents:
diff changeset
7521 <C>De A&euml;ris gravitate, rarefactione, &amp;
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parents:
diff changeset
7522 conden$atione.</C>
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parents:
diff changeset
7523 <p>QUoniam in Pneumaticis ac Hydropneumaticis Ma-
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casties
parents:
diff changeset
7524 chinis magni refert, a&euml;ris naturalis pondus $eu gra-
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casties
parents:
diff changeset
7525 vitatem, rarefactique ac conden$ati quantitatem ae
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casties
parents:
diff changeset
7526 vires cogno$cere; de ijs nonnihil parergi loco ad-
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parents:
diff changeset
7527 dendum h&icirc;c cen$ui. Sit itaque
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parents:
diff changeset
7528 <C>Propo$itio I.</C>
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parents:
diff changeset
7529 <C>A&euml;ris gravitatem invenire.</C>
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parents:
diff changeset
7530 <p>TAmet$i a&ecirc;r levis $it inter reliqua elementa, $uaque levitate
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parents:
diff changeset
7531 <MARG><I>A&euml;ris gra-
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parents:
diff changeset
7532 vitatem in-
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parents:
diff changeset
7533 venire.</I></MARG>
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parents:
diff changeset
7534 $ur$um tendat, ut $it $upra terram &amp; aquam; admixtum
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parents:
diff changeset
7535 tamen habet aliquid gravitatis. Patet ex eo, qu&ograve;d folles lu-
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parents:
diff changeset
7536 $orij a&euml;re adden$ato bene inflati, ut &amp; ve$ic&aelig; inflat&aelig;, pl&ugrave;s pon-
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parents:
diff changeset
7537 derent, qu&agrave;m flaccidi, ut exqui$ita trutina aut libra deprehen-
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parents:
diff changeset
7538 di pote$t. P. Joannes Bapti$ta Ricciolus Tomo 1. Almge$ti
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casties
parents:
diff changeset
7539 Novi lib. 2. cap. 5. num. 4. ait expendi$$e $e ve$icam bovinam
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parents:
diff changeset
7540 qu&aelig; flaccida erat $crupulorum 4, &amp; granorum 4, &amp; deprehen-
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parents:
diff changeset
7541 di$$e inflatam fui$$e $crupulorum 4, &amp; granorum 6. Quare
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parents:
diff changeset
7542 a&euml;r additus per inflationem, appendebat grana 2. Marinus
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parents:
diff changeset
7543 Mer$ennus in Ph&aelig;nomenis $uis Propo$it. XXIX. a$$erit, $e Geo-
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casties
parents:
diff changeset
7544 metris pr&aelig;$entibus &amp; adjuvantibus, pondera$$e bilance &AElig;o-
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parents:
diff changeset
7545 lopilam &aelig;neam (qualem de$cribimus infr&agrave; Parte 2. Cla$$e 1. cap. 3.
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parents:
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7546 Machina 6.) $atis calefactam, &amp; propemodum candentem,
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parents:
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7547 <pb n=170>
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parents:
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7548 omnique humore de$titutam, &amp; qu&agrave;m minim&ugrave;m a&ecirc;ris conti-
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parents:
diff changeset
7549 nentem; deprehendi$$eque pondus fui$$e unciarum 4, drach-
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diff changeset
7550 mar&utilde; 6, &amp; granorum 15: po$tquam ver&ograve; naturaliter refrixi$$et
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diff changeset
7551 &aelig;olopila, &amp; a&euml;r antea vehementer rarefactus redij$$et ad pri-
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parents:
diff changeset
7552 $tinum ac naturalem $uum $tatum; iterum pondera$$e ip$am,
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parents:
diff changeset
7553 &amp; inveni$$e pondus pr&aelig;cedente pondere majus fui$$e 4 gra-
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parents:
diff changeset
7554 nis. (Apud Mer$ennum habetur, minus; utique typographi-
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diff changeset
7555 co errore.) Erat autem bilanx, inquit Mer$ennus, qu&aelig; dimi-
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parents:
diff changeset
7556 dio grani perdebat &aelig;quilibrium.
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parents:
diff changeset
7557 <p>Atque ex his patet, qua ratione a&euml;ris gravitas inveniatur.
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parents:
diff changeset
7558 Alij aliter explorant pondus a&euml;ris, pr&aelig;$ertim Illu$tri$$imus Do-
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parents:
diff changeset
7559 minus Carolus Vintimillia Eques Panormitanus in Sicilia, &amp; Ami-
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parents:
diff changeset
7560 cus Uranicus $incei i$$imus, qui legendam mihi dedit demon-
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parents:
diff changeset
7561 $trationem $ubtili$$imam, praximque hydro$taticam, qua olim
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parents:
diff changeset
7562 Adole$cens coram Sereni$$imo Philiberto Sicili&aelig; Prorege, No-
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parents:
diff changeset
7563 bilitateque Panormitana univer$a a&euml;rem ponderaverat. Vide
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parents:
diff changeset
7564 etiam qu&aelig; habet Daniel Lip$torpius part. 3. Speciminum Phi-
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parents:
diff changeset
7565 lo$ophi&aelig; Carthe$ian&aelig; cap. 2. in fine, ubiadducit modum Galil&aelig;i
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diff changeset
7566 &amp; Joann. Chry$o$t. Magneni. Vide pr&aelig;terea Appendicem
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parents:
diff changeset
7567 in fine Operis.
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casties
parents:
diff changeset
7568 <C>Propo$itio II.</C>
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parents:
diff changeset
7569 <C>Quantum conden$ari a&euml;r po$$it, invenire.</C>
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diff changeset
7570 <MARG>Vide infr&agrave;
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parents:
diff changeset
7571 Iconi$mi
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casties
parents:
diff changeset
7572 VIII. Figu-
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diff changeset
7573 ram IX. a.</MARG>
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parents:
diff changeset
7574 <p>AS$umatur fons pneumaticus, qualem de$cribimus infr&agrave;,
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diff changeset
7575 Parte 2. Cla$$e 1. cap. 2. Machina 8. eju$que capacitas exact&egrave;
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parents:
diff changeset
7576 exploretur in men$ura cubica aqu&aelig;. Capiat autem dictus
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parents:
diff changeset
7577 fons, grati&acirc; exempli, unum pedem cubicum, $eu libras 72.
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parents:
diff changeset
7578 In hunc fontem immitte $yringe, per foramen C, aquam
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parents:
diff changeset
7579 quantum fieri, $ine ruptionis periculo, pote$t. Si jam notam
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parents:
diff changeset
7580 feceris in men$ura, quantitatem aqu&aelig; immi$$&aelig;, eamque &agrave; fon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7581 <MARG><I>A&euml;r quan-
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parents:
diff changeset
7582 tum conden
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casties
parents:
diff changeset
7583 $ari po$$it,
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parents:
diff changeset
7584 invenire.</I></MARG>
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parents:
diff changeset
7585 tis capacitate detraxeris; re$iduum fontis indicabit locum
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parents:
diff changeset
7586 a&euml;ris conden$ati, qui pri&ugrave;s totam fontis capacitatem imple-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7587 <pb n=171>
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casties
parents:
diff changeset
7588 bat. Ut $i immi$$&aelig; $untdu&aelig; terti&aelig; pedis cubici, occupabit a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7589 unam tertiam partem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7590 <p>Atque h&aelig;c e$t expediti$$ima ratio men$urandi conden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7591 $ationem a&euml;ris. Fieri quoque idip$um pote$t $clopeto pneu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7592 matico, de quo infr&agrave; loco cit. cap. 2. Machina 13. &amp; 14.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7593 <p>Credunt aliqui, inquit Mer$ennus in Hydraulicis Propo-
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casties
parents:
diff changeset
7594 $it. 31. a&euml;rem per conden$ationem non po$$e ni$i ad tertiam $pa-
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casties
parents:
diff changeset
7595 tij, quod naturaliter occupat, partem redigi, qu&ograve;d videant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7596 aquam in vas infu$am tres heminas $eu libras continens, non
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casties
parents:
diff changeset
7597 $uperare duas heminas, ob a&euml;rem intus manentem. Certum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7598 e$t tamen, $ubdit idem, magis conden$ari po$$e; ip$eque ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7599 perienti&acirc; didicit, po$$e ad $patium quindecuplo minus in $clo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7600 peto pneumatico cogi, idque $ol&acirc; vi manus $yringe utentis;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7601 qu&aelig; vis c&ugrave;m intendi mult&ograve; magis po$$it, dubium non e$t, a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7602 rem adhuc mult&ograve; magis conden$ati po$$e. Vide Mer$ennum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7603 in Hydraulicis loco citato.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7604 <C>Propo$itio III.</C>
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casties
parents:
diff changeset
7605 <C>Quantum rarefieri a&euml;r po$$it, invenire.</C>
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casties
parents:
diff changeset
7606 <p>MArinus Mer$ennus loco citato Propo$it. 31. ait, con$tare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7607 <MARG><I>A&euml;r quan-
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casties
parents:
diff changeset
7608 tum po$$it
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casties
parents:
diff changeset
7609 rarefieri.</I></MARG>
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casties
parents:
diff changeset
7610 a&euml;rem ita rarefieri in ignitis &aelig;olopilis (quas de$cribimus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7611 Parte 2. Cla$$e 1. cap. 2. Machina 6.) ut $eptuage$ima pars a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7612 ris pri&ugrave;s inclu$i, &amp; nondum rarefacti, &aelig;olopilas impleat. H&aelig;c
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7613 autem rarefactionis quantitas inveniri pote$t pr&aelig;$idio &AElig;olo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7614 pil&aelig; hunc in modum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7615 <p>&AElig;olopila not&aelig; capacitatis calefiat e&ograve; u$que, donec ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7616 jorem vim caloris $u$tinere ampli&ugrave;s non po$$e judicetur citra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7617 liquefactionis periculum: $ic enim fiet, ut qu&agrave;m minim&ugrave;m a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7618 ris rarefacti totam ip$ius capacitatem expleat. Quo facto,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7619 igni extracta $tatim aqu&aelig; frigid&aelig; immergatur. Continget
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7620 enim ut a&euml;r, qui rarefactus totam &AElig;olopilam occupabat, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7621 naturalem redeat con$titutionem; ac proinde &AElig;olopila, n&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7622 detur vacuum, aquam $uget. Hujus aqu&aelig; quantitas $i fiat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7623 <pb n=172>
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casties
parents:
diff changeset
7624 nota, &amp; ab &AElig;olopil&aelig; capacitate detrahatur; notam relinquet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7625 a&euml;ris quantitatem &amp; nunc adden$ati, &amp; antea rarefacti.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7626 <p>H&aelig;c ex Mer$enni $ententia; qu&aelig; tamen valde incerta mi-
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casties
parents:
diff changeset
7627 hi videntur, tum quia non $citur quando &AElig;olopila e$t $umm&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7628 calefacta, tum quia aqua ab$umitur &agrave; calore &AElig;olopil&aelig; ante &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7629 po$t attractionem, tum denique quia con$tare non pote$t, utrum
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casties
parents:
diff changeset
7630 a&euml;r re$iduus po$t aqu&aelig; attractionem $it ad naturalem $tatum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7631 dactus, an ver&ograve; pr&aelig;ter naturam adden$atus, aut rarefactus. Vi-
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casties
parents:
diff changeset
7632 de qu&aelig; dicimus infr&agrave; in Appendice.
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casties
parents:
diff changeset
7633 <C>Conclu$io</C>
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casties
parents:
diff changeset
7634 <C>Protheori&aelig; Quart&aelig;.</C>
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casties
parents:
diff changeset
7635 <p>DIci h&icirc;c nonnulla po$$ent de $alientium ex fontibus pneuma-
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casties
parents:
diff changeset
7636 ticis, quos de$cribimus Parte 2. Cla$$e 1. cap. 2. Machina 8.
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casties
parents:
diff changeset
7637 longitudine, altitudineque, &amp; cum tuborum $alientibus compa-
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7638 rari, ut facit Mer$ennus in $uis Hydraulicis Propo$it. 28. $ed
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diff changeset
7639 quoniam valde incerta $unt &amp; qu&aelig; Mer$ennus affert, &amp; qu&aelig; &agrave;
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diff changeset
7640 me, &amp; &agrave; quocunque alio, varijs experientijs inventa, afferri po$-
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diff changeset
7641 $unt; $ati&ugrave;s judicavi, omnino ab$tinere. Dependet enim $alien-
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diff changeset
7642 tium huju$modi longitudo atque altitudo, non &agrave; tuborumlongi-
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diff changeset
7643 tudine, $ed poti$$im&ugrave;m ab a&euml;ris intra fontem compre$$i vehe-
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diff changeset
7644 mentia, qu&aelig; infinitis modis variari pote$t; &amp; c&ugrave;m omnia exper-
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diff changeset
7645 tus fueris, dubius adhuc h&aelig;rebis.
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parents:
diff changeset
7646 <p>Dici pr&aelig;terea multa po$$ent de fluxu aqu&aelig; per tubos incli-
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parents:
diff changeset
7647 natos &amp; horizontales; examinarique, qu&aelig; habet Joannes Bapti-
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diff changeset
7648 $ta Balianus lib 4. &amp; 5. de Motu gravium, $eu lib. 1. &amp; 2. de motu
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diff changeset
7649 liquidorum: at quoniam h&aelig;c non admodum conducunt fini no-
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diff changeset
7650 $tro in hoc Opere intento, &amp; longiorem $ermonem requirunt;
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diff changeset
7651 omittenda poti&ugrave;s omnino qu&agrave;m paucis per$tringenda pu-
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diff changeset
7652 tavi, acturus de illis in Mechanica Univer$ali. Ad
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diff changeset
7653 praxin igitur, mi$s&acirc; theori&acirc;,
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diff changeset
7654 procedamus.
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parents:
diff changeset
7655 <FIG>
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parents:
diff changeset
7656 <pb n=173>
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parents:
diff changeset
7657 <FIG>
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parents:
diff changeset
7658 <C>MECHANIC&AElig; HYDRAVLICO
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parents:
diff changeset
7659 PNEVMATIC&AElig;</C>
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parents:
diff changeset
7660 <C>PARS SECVNDA,</C>
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parents:
diff changeset
7661 <C>PRACTICA,</C>
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parents:
diff changeset
7662 <C>De fabrica Machinarum Hydro-
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parents:
diff changeset
7663 pnevmaticarum ex traditis principijs.</C>
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parents:
diff changeset
7664 <C>PROOEMIVM</C>
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parents:
diff changeset
7665 <p><I>DInocrates Architectus, inquit Vitruvius lib.</I> 2.
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parents:
diff changeset
7666 <MARG>Dinocratis
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parents:
diff changeset
7667 Architecti
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parents:
diff changeset
7668 cogitatio
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parents:
diff changeset
7669 Alexandro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7670 Regiexpo-
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parents:
diff changeset
7671 $ita.</MARG>
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parents:
diff changeset
7672 <I>cogitationibus &amp; $olertia fretus, cum Alexan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7673 der rerum potiretur, profectus e$t &agrave; Macedo-
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diff changeset
7674 nia ad exercitum, regi&aelig; cupidus commendatio-
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parents:
diff changeset
7675 nis. Is &egrave; patria &agrave; propinquis &amp; amicis tulit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7676 ad primos ordines &amp; purpuratos litteras, ut aditus haberet fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7677 ciliores; ab eis que exceptus human&egrave;, petijt uti qu&agrave;m prim&ugrave;m
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7678 ad Alexandrum perduceretur. C&ugrave;m polliciti e$$ent, tardio-
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parents:
diff changeset
7679 res fuerunt, idoneum tempus ex$pectantes. Itaque Dinocrates
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casties
parents:
diff changeset
7680 ab ijs $e exi$timans illudi, ab $e petijt pr&aelig;$idium. Fuerat enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7681 ampli$$ima $tatura, facie grata, forma, dignitateque $umma.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7682 <pb n=174>
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parents:
diff changeset
7683 <I>His igitur natur&aelig; muneribus confi$us, ve$timenta po$uit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7684 ho$pitio, &amp; oleo corpus perunxit, caputque coronavit populea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7685 fronde, l&aelig;vum humerum pelle leonina texit, dextraque clavam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7686 tenens ince$$it contra tribunal Regis ius dicentis. Novitas po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7687 pulum c&ugrave;m averti$$et, con$pexit eum Alexander, &amp; admirans,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7688 ju$$it ei locum dari, ut accederet, interrogavitque quis e$$et.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7689 At ille, Dinocrates, inquit, Architectus Macedo, qui ad te
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casties
parents:
diff changeset
7690 cogitationes &amp; formas affero dignas tua claritate. Namque
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parents:
diff changeset
7691 Athon montem formavi in $tatu&aelig; virilis figuram, cuius manu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7692 l&aelig;va de$ignavi Civitatis ampli$$im&aelig; m&aelig;nia, dextera pateram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7693 qu&aelig; exciperet omnium fluminum, qu&aelig; $unt in eo monte, aquam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7694 ut inde in mare profunderetur.</I>
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parents:
diff changeset
7695 <p><I>Delectatus Alexander ratione form&aelig;, $tatim qu&aelig;$ivit, $i e$$ent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7696 agri circa, qui po$$ent frumentaria ratione eam Civitatem tue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7697 ri. C&ugrave;mque inveni$$et, non po$$e ni$i transmarinis $ubvectioni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7698 bus: Dinocrates, inquit, attendo egregiam form&aelig; compo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7699 tionem, &amp; ea delector; $ed animadverto, ut $i quis deduxerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7700 e&ograve; loci coloniam, fore ut judicium eius vituperetur. Vt enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7701 natus infans $ine nutricis lacte non pote$t ali, neque ad vit&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7702 cre$centis gradus perduci; $ic Civitas $ine agris, &amp; eorum fru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7703 ctibus in m&oelig;nibus affluentibus non pote$t cre$cere, nec $ine a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7704 bundantia cibi frequentiam habere, populum que $ine copia tue-
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parents:
diff changeset
7705 ri. Itaque quemadmodum formationem put o probandam, $ic
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parents:
diff changeset
7706 judico locum improbandum. H&aelig;c Vitruvius. Sciebat nimi-
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parents:
diff changeset
7707 rum Rex $apienti$$imus, quantum $&aelig;pe $it di$$idium praxin in-
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parents:
diff changeset
7708 ter &amp; theoriam; &amp; qu&agrave;m frequenter quod ratio $ubtili$$im&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7709 excogitavit, difficulter in opus deducatur, non a$$equente ma-</I>
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casties
parents:
diff changeset
7710 <pb n=175>
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casties
parents:
diff changeset
7711 <I>nu intellectus pr&aelig;$criptum, nec materie eiusdem pr&aelig;ceptis ob-</I>
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casties
parents:
diff changeset
7712 <MARG>Practicata,
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casties
parents:
diff changeset
7713 aut practi-
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casties
parents:
diff changeset
7714 cabilia, qu&ecedil;
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parents:
diff changeset
7715 hoc Opere
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casties
parents:
diff changeset
7716 traduntur.</MARG>
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casties
parents:
diff changeset
7717 <I>temperante. Hoc itaque n&egrave; mihi quoque occinatur, pr&aelig;$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7718 dum reip$a putavi, quod pr&aelig;$tari po$$e a$$erui; hoc e$t, earum
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casties
parents:
diff changeset
7719 $ol&ugrave;m Machinarum $tructuram ac fabricam edocendam ratus
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casties
parents:
diff changeset
7720 $um, quas opere ac re ip$a exhibu&ecirc;re alij, docti$$imus pr&aelig;$er-
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casties
parents:
diff changeset
7721 tim Kircherus in Mu$eo $uo, alijque viri pr&aelig;clari, quin &amp;
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casties
parents:
diff changeset
7722 idiot&aelig; (tanta e$t fabricandi facilitas, tam infallibilis fabri-
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casties
parents:
diff changeset
7723 catarum effectus) tum b&icirc;c, tum alibi, prout $uis locis refero:
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casties
parents:
diff changeset
7724 nihil enim, aut fer&egrave; nihil in tota hac Parte</I> 2. <I>affero, quod non</I>
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casties
parents:
diff changeset
7725 <G>a)uto/p<*>s</G> <I>oculis vidi, manibus contrectavi, ut legenti $ingula pa-
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casties
parents:
diff changeset
7726 tebit.</I>
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casties
parents:
diff changeset
7727 <p><I>Ad tres porr&ograve; cla$$es revoco omnes $equentes Machinas.</I>
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casties
parents:
diff changeset
7728 <MARG>Machin&aelig;
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diff changeset
7729 huius Ope-
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diff changeset
7730 ris omnes
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diff changeset
7731 ad tres Cla$-
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diff changeset
7732 $es revo-
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diff changeset
7733 cantur.</MARG>
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diff changeset
7734 <I>In prima exhibeo varias, vel pur&egrave; hydraulicas, vel pur&egrave; pnev-
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diff changeset
7735 maticas, vel ex utris que mixtas Machinas, nec non alias, ab
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diff changeset
7736 hi$ce quidem differentes, at ab in$tituto non alienas, nec Lecto-
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parents:
diff changeset
7737 ri, ut reor, ingratas. In $ecunda profero in medium varia
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parents:
diff changeset
7738 Machinamenta hydraulica, qu&aelig; motum perpetuum $i non ver&egrave;
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parents:
diff changeset
7739 ac reip$a efficere, cert&egrave; proxim&egrave; &aelig;mulari creduntur; $imulque
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parents:
diff changeset
7740 mon$tro, nullum, quod promittit, reip$a pr&aelig;$tare po$$e. In
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diff changeset
7741 tertia denique Cla$$e ago de Organis hydraulicis, rebusque ad
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parents:
diff changeset
7742 illa pertinentibus. Singulis fer&egrave; Machinis $ubjungo Notas
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parents:
diff changeset
7743 brevius culas, qu&iacute;bus ut plurim&ugrave;m earum indico
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parents:
diff changeset
7744 principia, $eu fundamenta.
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diff changeset
7745 Sit igitur</I>
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diff changeset
7746 <pb n=176>
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diff changeset
7747 <C>Pars II.</C>
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parents:
diff changeset
7748 <C>CLASSIS PRIMA
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parents:
diff changeset
7749 DE
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parents:
diff changeset
7750 Varijs Hydraulicis, atque Pnevmaticis
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parents:
diff changeset
7751 Machinis.</C>
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casties
parents:
diff changeset
7752 <MARG>Machin&aelig;
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parents:
diff changeset
7753 Cla$$is pri-
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parents:
diff changeset
7754 m&aelig;.</MARG>
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parents:
diff changeset
7755 <p><I>AD$ex Capita revocabo huius prim&aelig; Cla$$i<*>
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parents:
diff changeset
7756 Machinas. Primum Caput complecte<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7757 tur Machinas, quarum principium e$t vi<*>
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diff changeset
7758 Attractiva: Secundum Caput eas, quarum prin-
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parents:
diff changeset
7759 cipium e$t vis Expul$iva: Tertium eas, qu&aelig; Rarefa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7760 ctione; Quartum, qu&aelig; natur ali aqu&aelig; lap$u; Quin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7761 tum, qu&aelig; mixto fiunt principio: Sextum deniqu<*>
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parents:
diff changeset
7762 Caput continebit Machinas varias.</I>
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parents:
diff changeset
7763 <C>CAPVT PRIMVM</C>
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parents:
diff changeset
7764 <C><I>De Machinis qu&aelig; fiunt vi attractiva.</I></C>
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parents:
diff changeset
7765 <p>PR&aelig;ter Machinas quas hoc Capite adducimus, <*>
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parents:
diff changeset
7766 <MARG><I>Machin&aelig;
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parents:
diff changeset
7767 qu&aelig; fiunt vi
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parents:
diff changeset
7768 Attractiva</I></MARG>
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parents:
diff changeset
7769 revocari huc po$$unt omnes ali&aelig;, qu&aelig; metu<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7770 vacui $uas exhibent operationes, &amp; referuntur<*>
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parents:
diff changeset
7771 inter Machinas $equentium Capitum, pr&aelig;$ertim $exti<*>
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parents:
diff changeset
7772 Pr&aelig;terea huc pertinent Machin&aelig; quas de$crip$imus $u-
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parents:
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7773 pr&agrave; Parte I. Protheoria 1. &sect;. 7. &amp; 8.
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parents:
diff changeset
7774 <pb>
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parents:
diff changeset
7775 <CAP><I>Iconismus I. pag: 177.</I></CAP>
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parents:
diff changeset
7776 <FIG>
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parents:
diff changeset
7777 <pb n=177>
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parents:
diff changeset
7778 <C>Cla$sis I.</C>
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parents:
diff changeset
7779 <C>MACHINA I.</C>
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parents:
diff changeset
7780 <C><I>Fonticulus Phial&aelig; vitre&aelig; inclu$us.</I></C>
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parents:
diff changeset
7781 <p>INter c&aelig;teras Machinas Hydro pnevmaticas, qu&aelig;in
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parents:
diff changeset
7782 P. Athana$ij Kircheri Mu$eo $imilibus Machinulis
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parents:
diff changeset
7783 in$tructi$$imo vi$untun, h&aelig;c non infimum $an&egrave; lo-
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parents:
diff changeset
7784 cum $ibi vendicat: e$t enim non ingenio$a tant&ugrave;m, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7785 $pectatu jucundi$$ima, $ed &amp; infinitarum inventionum materi&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7786 pr&aelig;bet. Adducit eam P. Kircherus lib 3. Artis Magnetic&aelig; par. 2.
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parents:
diff changeset
7787 cap. 3. Experim. 2. &amp; ex hoc Clari$$imus Har$torfferus in De-
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parents:
diff changeset
7788 licijs $uis tom. 2. par. 8. qu&aelig;$t. 24. Sic autem con$truitur.
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parents:
diff changeset
7789 <p>Fiant tria va$a HI, K, &amp; B, juxta fontem, aut aqu&aelig; recepta-
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parents:
diff changeset
7790 <MARG>Vide Ico-
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parents:
diff changeset
7791 ni$mi I.</MARG>
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casties
parents:
diff changeset
7792 culum M. Vas HI recipiendis aquis de$tinatum exquavis
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parents:
diff changeset
7793 materia, uti &amp; alterum <*> fieri pote$t; B <*>er&ograve; vas vitreum
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parents:
diff changeset
7794 <MARG>Fig. I.</MARG>
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parents:
diff changeset
7795 $it, excepto fundo VX, qui fundus ex &aelig;re, aut cupro fiat nece$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7796 e$t. Ex hoc fundo canalem DOE, per fundum va$is K, u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7797 <MARG><I>Fonticulus
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parents:
diff changeset
7798 in Phiala
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parents:
diff changeset
7799 vitrea.</I></MARG>
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parents:
diff changeset
7800 in vas HI deduces; qui &amp; epi$tomio E ad laxandum, cohi-
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parents:
diff changeset
7801 bendumque aquam in$tructus $it. Sit autem canalis DOE in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7802 fundo va$is B optim&egrave; ferruminatus, n&egrave; vas a&euml;rem recipiat.
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parents:
diff changeset
7803 Hoc pacto alium Siphonem $ive canalem FG exfundo va$is K,
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parents:
diff changeset
7804 videlicet exloco F, (ita ut fundum non tangat) per fundum
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parents:
diff changeset
7805 va$is B deduces, dicto fundo ferruminatione ut ante in$itum,
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casties
parents:
diff changeset
7806 qui &amp; intra vas B in tres aut plures canaliculos divaricetur.
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parents:
diff changeset
7807 Deinde vitrum B fundo VX pice, aut re$ina cum cera tere-
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casties
parents:
diff changeset
7808 binthina, aliav&egrave; mi$tura ita adglutinabis, ut a&euml;r nulla ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7809 intrare po$$it; vas autem vitreum B in apice ciceris adin$tar
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casties
parents:
diff changeset
7810 foramen juxta B, aqu&aelig; infundend&aelig; de$tinatum, habeat; quod
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parents:
diff changeset
7811 deinde po$t aquam infu$am optim&egrave; claudi po$$it. Qu&ograve;d $i a-
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parents:
diff changeset
7812 quam in va$e B, per tres $iphunculos $eu canaliculos i<*> fonticu-
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parents:
diff changeset
7813 lum ex$ilire, de$ideres; per dictum foramen vas B e&ograve;u$que
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casties
parents:
diff changeset
7814 aqu&acirc; replebis, utora canaliculorum pr&aelig;cis&egrave; attingat. Hoc fa-
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casties
parents:
diff changeset
7815 cto, foramen cer&aacute; aut cochleol&acirc; ita obturetur, ut nullus pror$us
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casties
parents:
diff changeset
7816 a&euml;ringredi po$$it. Deinde aperto epi$tomio fontis M, vas K
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casties
parents:
diff changeset
7817 repleatur; quo repleto, aperiatur epi$tomium inferius E; &amp;
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casties
parents:
diff changeset
7818 <pb n=178>
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casties
parents:
diff changeset
7819 aqua va$is B per canalem DOE dilap$a, in vas HI $e exone-
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casties
parents:
diff changeset
7820 rabit; $ed aqua va$is B exonerare $e non volet, ni$i aliud $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7821 corpus pri&ugrave;s $ub$tituatur: Omni igitur aditu alijs coporibus ex-
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parents:
diff changeset
7822 trin$ecis interclu$o, c&ugrave;m nullum aliud $it, quod laboranti Natu-
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casties
parents:
diff changeset
7823 r&aelig;, pr&aelig;ter aquam in va$e K contentam, $uppetias ferre po$$it
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casties
parents:
diff changeset
7824 (n&egrave; vacuus in Natura locus, recedente liquore va$is B, relinqua-
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casties
parents:
diff changeset
7825 tur;) per $iphonem FG attracta aqua va$is K, $ummo impetu
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parents:
diff changeset
7826 per tres canaliculos in fontem abibit, &amp; tam diu hic fons dura-
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parents:
diff changeset
7827 bit, qu&agrave;m diu aqua in va$e K $uperfuerit, Si itaque per epi$to-
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casties
parents:
diff changeset
7828 mium M, va$i K aqua perpetu&ograve; ex aliquo fonte $uppeditata
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casties
parents:
diff changeset
7829 fuerit, aut ali&acirc; ratione, juxta dicenda po$tea; aqua in vitro B
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casties
parents:
diff changeset
7830 perpetu&ograve; quoque $aliet. Mirum autem e$t, qu&ograve;d in va$e B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7831 nunquam cre$cat aut decre$cat aqua, $ed $emper in eodem $ta-
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casties
parents:
diff changeset
7832 tu, &amp; eiu$dem quantitatis permanoat. Cuius rei ratio illa e$t,
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parents:
diff changeset
7833 qu&ograve;d pars aqu&aelig; per canalem DOE effluentis, &aelig;qualis $emper
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casties
parents:
diff changeset
7834 $it aqu&aelig; per canalem FG va$is K attract&aelig;. Quant&ograve; autem
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casties
parents:
diff changeset
7835 canalis DOE longior fuerit qu&agrave;m canalis FG, tant&ograve; aqua in
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casties
parents:
diff changeset
7836 va$e B alti&ugrave;s, &amp; maiori cum impetu ex$urget. Qu&ograve;d $i loco
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casties
parents:
diff changeset
7837 vitrei vafis B, aliud vas plumbeum ponatur, poteris hac ratio-
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parents:
diff changeset
7838 ne aquam inferiorem in quamvis altitudinem derivare. Sed
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parents:
diff changeset
7839 hoc meli&ugrave;s ex $equentihus patebit.
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casties
parents:
diff changeset
7840 <C>ANNOTATIO.</C>
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casties
parents:
diff changeset
7841 <p><I>H&AElig;c Machina vi attractiva e$t in$tituta: aqu&acirc; enim &egrave; va$e</I> B <I>efflu-
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parents:
diff changeset
7842 ente per canalem</I> DOE, <I>attrahitur aqua va$is</I> K <I>per canalem</I>
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parents:
diff changeset
7843 FG, <I>n&egrave; detur vacuum in va$e</I> B, <I>cui a&euml;ris, omnis&queacute; alterius corporis adi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7844 tus e$t interclu$us. Vides igitur, quid non moliatur Natura ad vacu-
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parents:
diff changeset
7845 um evitandum. Similia multa Natur&aelig; $tratagemata in $equentibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7846 reperies; multa etiam allata $unt $upr&agrave; in Protheoria I. Vide Annota-
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parents:
diff changeset
7847 tionem</I> 2. <I>$equentis Machin&aelig;. Hanc Machinam h&icirc;c con$trui curavi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7848 &amp; multis o$t&ecedil;ndi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7849 <pb n=179>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7850 <C>MACHINA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7851 <C><I>Siphon inver$us interruptus, aquam in determina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7852 tam altitudinem evehens.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7853 <p>MAchinam hanc appello $iphonem inver$um interruptum,
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parents:
diff changeset
7854 ob $imilitudinem quam habet cum $iphone inver$o, dequ<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7855 $upr&agrave; Parte 1. Protheoria 4. capite 2. eamque de$cribo in Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7856 pendice Hydraulicorum Machinamentorum qu&aelig; habetur in
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parents:
diff changeset
7857 nova ac tertia editione Artis magnet. P. Atahana$ij Kircherilib.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7858 3. par. 2. cap. 3. Machinam. 3. his verbis:
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parents:
diff changeset
7859 <p>Sit ex va$e, aut ci$terna B, elevanda aqua in vas KA, ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7860 <MARG>Vide Ico-
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casties
parents:
diff changeset
7861 ni$mi I.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7862 inferiori videlicet domus parte ad $uperiorem. Fiat vas C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7863 cum Siphone EF, (qui immediat&egrave; $upra va$is fundum incipiat)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7864 <MARG>Fig. II.</MARG>
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parents:
diff changeset
7865 &amp; epi$tomio E, ac foramine O in operculo. Fiat pr&aelig;terea
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casties
parents:
diff changeset
7866 Siphon OI, utrimque apertus paul&ograve; infra operculum utriusq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7867 <MARG><I>Siphon in-
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parents:
diff changeset
7868 ver$us inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7869 ruptus, fon-
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casties
parents:
diff changeset
7870 tem exhi-
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casties
parents:
diff changeset
7871 bens:</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7872 va$is C, &amp; KA. Iterum alius Siphon BK, $imiliter utrimque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7873 apertus, $ed in va$e B, prope fundum, in va$e ver&ograve; KA prope
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7874 operculum; ubi etiam nonnihil incurvetur, ut figura mon$trat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7875 Nece$$e e$t autem, ut va$a C, &amp; KA, $int diligenti$$im&egrave; ferru-
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parents:
diff changeset
7876 minata atque obturata, n&egrave; a&euml;rem alicubi recipere, aut ejicere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7877 valeant.
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casties
parents:
diff changeset
7878 <p>His ita pr&aelig;paratis, impleatur vas C aqu&acirc; per foramen O;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7879 quod, ubi repletum fuerit vas, accurrat&egrave; obturandum e$t. Ape-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7880 riatur deinde epi$tomium E; defluetque aqua ex va$e C, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7881 in locum ip$ius, n&egrave; vacuum in va$e admittatur, $equetur per $i-
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parents:
diff changeset
7882 phonem IO a&euml;r in va$e KA contentus; in locum ver&ograve; a&euml;ris ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7883 tracti &egrave; va$e KA $equetur, propter vacui metum, aqua va$is $eu ci-
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parents:
diff changeset
7884 $tern&aelig; B, per $iphonem BK; qu&aelig; deinde per epi$tomium H
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7885 depleri poterit. Si jam ex va$e aut ci$terna B, vel aliunde, de-
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parents:
diff changeset
7886 rivetur nova aqua in vas C; eadem circulatio in$titui pote-
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parents:
diff changeset
7887 rit, quoties vas C plenum, &amp; vas KA fuerit vacuum. Vt de-
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parents:
diff changeset
7888 pleri po$$it vas KA per epi$tomium H, debet aqu&aelig; effluenti
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parents:
diff changeset
7889 $uccedere a&euml;r: quare vel aperiendum e$t alicubi vas KA ($i in
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parents:
diff changeset
7890 B adhuc e$t aqua) vel vas C, vel epi$tomium E depleto va$e C.
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parents:
diff changeset
7891 <pb n=180>
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parents:
diff changeset
7892 <C>ANNOTATIO I.</C>
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parents:
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7893 <p><I>H&AElig;c etiam Machina vi attractiva trahit aquam in altum, ex <*>
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parents:
diff changeset
7894 in</I> KA; <I>qu&aelig; attractio fit propter metum vacui. Similem Machi-
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parents:
diff changeset
7895 nam habet Ioannes Bapti$ta Porta in $uis $piritalibus lib.</I> 2. <I>c.</I> 1. <I>Schvven-
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parents:
diff changeset
7896 terus in Delicijs Phy$ico mathem. part.</I> 13. <I>qu&aelig;$t.</I> 10. <I>Marinus Mer$en-
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parents:
diff changeset
7897 nus in Ph&aelig;nomenis Hydraulicis Propo$it.</I> 38. <I>Vide etiam qu&aelig; diximus
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parents:
diff changeset
7898 Protheoria</I> 1. &sect;. 5. <I>&amp; $eqq. Shvventerus loc. cit. aliquot errores im-
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parents:
diff changeset
7899 mi$cet.</I>
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casties
parents:
diff changeset
7900 <C>ANNOTATIO II.</C>
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casties
parents:
diff changeset
7901 <p><I>EXperientia docet, $iphonem</I> EF <I>debere e$$e paul&ograve; longiorem tubo</I> BK,
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casties
parents:
diff changeset
7902 <I>alioquin aqua ex va$e</I> C <I>non effluet, $ed in ip$o $iphone</I> E <I>$u$pen$a
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parents:
diff changeset
7903 h&aelig;rebit, nec attrahetur aqua va$is</I> B <I>u$que in vas</I> KA, <I>$ed h&aelig;rebit in
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parents:
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7904 $iphone</I> BK. <I>Hoc tamen mirum alicui videri poterit, c&ugrave;m tota pr&aelig;$ens
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casties
parents:
diff changeset
7905 Machina videatur e$$e Siphon inver$us, &amp; crus</I> ICE <I>jam longius $it,
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casties
parents:
diff changeset
7906 qu&agrave;m crus</I> KB; <I>cur ergo apud</I> E <I>non effluet aqua, $i ibi decurtetur $iphon</I>
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parents:
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7907 EF? <I>Quia nimirum, c&ugrave;m interrumpitur $iphon intermedio va$e</I> C, <I>fit, ut
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diff changeset
7908 $olus $iphon</I> FE <I>con$tituat alterum perpendiculum, &amp; velut inver$i $ipho-
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diff changeset
7909 nis crus, oppo$itum cruri</I> BK; <I>cui comparatum crus</I> EF <I>decurtatum in</I> E,
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diff changeset
7910 <I>e$t nimis exile, ut diximus Parte</I> 1. <I>Protheoria</I> 4 <I>cap.</I> 2. <I>Propo$it.</I> 13.
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diff changeset
7911 <I>Notandum tamen, non e$$e nece$$arium ut vas</I> C <I>$it in eodem plan<*>
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diff changeset
7912 horizontali cum va$e</I> B, <I>$ed po$$e e$$e vel altius, vel demi$$ius illo: con-
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diff changeset
7913 $equenter non e$t nece$$e ut $iphon</I> CI <I>$it &aelig;qualis $iphoni</I> BK, <I>ut nota-
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diff changeset
7914 vimus parte</I> 1. <I>loco proxim&egrave; citato.</I>
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diff changeset
7915 <C>ANNOTATIO III</C>
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7916 <p><I>NEc $ufficit ut quomodocunque tubus</I> EF <I>longior $it qu&agrave;m tubus</I> BK,
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diff changeset
7917 <I>$ed nece$$arium e$t ut perpendiculum illius $it longius perpendiculo
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diff changeset
7918 huius Quare licet fieret tubus intra vas</I> C <I>in helicem contortus, qui ex-
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diff changeset
7919 plicatus longior e$$et qu&agrave;m</I> EF; <I>$i tamen perpendiculum helic is non ad&aelig;-
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diff changeset
7920 quat perpendiculum tubi</I> EF, <I>nihil efficitur, vide Portam loc. eit. &amp;
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diff changeset
7921 capite</I> 2. <I>&amp;</I> 3. <I>ubi ex defectu $imilis penpendiculi $ufficienter prolongati
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diff changeset
7922 o$tendit errare Heronem in con$tructione Machin&aelig; capitis</I> 53. <I>&amp; etiam
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diff changeset
7923 capitis</I> 5. <I>ut nos etiam notamus infr&agrave; cap.</I> 2. <I>Machina II. Annot. II. &amp; in
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diff changeset
7924 Protheoria I.</I> &sect;. 5. <I>&amp; $eqq. item in Protheoria</I> 4. <I>Cap.</I> 2. <I>Propo$.</I> 13.
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diff changeset
7925 <pb>
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parents:
diff changeset
7926 <CAP><I>Iconismus II. pag: 181.</I></CAP>
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diff changeset
7927 <FIG>
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parents:
diff changeset
7928 <pb n=181>
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parents:
diff changeset
7929 <C>MACHINA III.</C>
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diff changeset
7930 <C><I>Fons Ca$areus.</I></C>
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diff changeset
7931 <p>AB Aquila bicipite, C&aelig;$arum te$$era, &amp; ore gen<*> aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
7932 profundente, C&aelig;$areum fontem appello quam h&icirc;cdo Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7933 chinulam, Kircherrani Mu$ei ornamentum elegans, &amp; $pecta-
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diff changeset
7934 culum non injucundum, ab ip$o Kirchero C&aelig;$aris Ferdina<*>
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parents:
diff changeset
7935 di III. honori con$tructum hoc artificio.
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diff changeset
7936 <MARG>Vide Ico-
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parents:
diff changeset
7937 ni$mi II.</MARG>
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parents:
diff changeset
7938 <p>A, ba$is e$t $eu abacus polyedrus, tetra$tylus, $eu qua<*>
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parents:
diff changeset
7939 <MARG>Fig. III.</MARG>
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parents:
diff changeset
7940 in$tructus columellis; quibus impo$itus e$t tholus hemi$ph&aelig;<*>-
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parents:
diff changeset
7941 cus BCDE, ge$tans in vertice vitreum va$culum K<*>, $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7942 optim&egrave; ad ferruminatum, clau$umque vndique, &amp; cochle&acirc; L
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7943 <MARG><I>Fons Ca$a-
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parents:
diff changeset
7944 reus.</I></MARG>
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parents:
diff changeset
7945 munitum. Tholus in tria di$criminatus e$t, diaphragmatis in-
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parents:
diff changeset
7946 terpo$itis, receptacula, FB, GCD, &amp; HE; quorum $ingula $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7947 um habent $ub vitreo va$culo foramen F, G, H, per qu&aelig; aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7948 infunditur. Ex receptaculo HE per vafculi vitrei fundum
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parents:
diff changeset
7949 deducitur tubulus EK; qui &agrave; fundi tran$itu in tres, $i placet,
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parents:
diff changeset
7950 divaricatur tubulos $tricti$$imorum ofculorum. Di$tat o$cu-
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diff changeset
7951 lum E &agrave; receptaculi $ui fundo tantu<*> quantum aqu&aelig; intro-
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parents:
diff changeset
7952 trahend&aelig; $ufficit. Ex va$culo KL, per eju$dem, &amp; per rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7953 ptaculi HE fundum, perque columnam YN, &amp; abaci A fun-
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parents:
diff changeset
7954 dum $uperiorem, deducitur tubus IYNQ, cujus extremum
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parents:
diff changeset
7955 Q de$init intra tubum vitreum QR, protuberantem in $ph&aelig;-
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parents:
diff changeset
7956 rulam R. Ex receptaculo FB, per ejus fundum, perque BM
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parents:
diff changeset
7957 columnulam, &amp; fundum $uperiorem A abaci, deducitur alius
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parents:
diff changeset
7958 tubus BMO, cujus extremum O de$init intra alium vitreum
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parents:
diff changeset
7959 tubum OP, protuberantem $imiliter in $ph&aelig;rulam P. Vitrei
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parents:
diff changeset
7960 tubi PO, &amp; RQ inferi&ugrave;s apud O &amp; Q, de$inunt in alios tubu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7961 los O<*>, Q<*>, epi$tomijs $uis in$tructos, &amp; forin$ecus aperibi-
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parents:
diff changeset
7962 les in lateribus abaci A. lidem in duodenas divi$i $unt partes,
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parents:
diff changeset
7963 numeris appo$itis, qui in vno inferi&ugrave;s, in altero $uperi&ugrave;s initium
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parents:
diff changeset
7964 $umunt. Fandem &egrave; receptaculo GCD, per ejus fundum, per
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parents:
diff changeset
7965 geminas columnulas reliquas, perque abaci fundum, dedu-
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parents:
diff changeset
7966 cuntur bini tubi CXS, DZS, qui apud S, co&euml;unt in unum
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parents:
diff changeset
7967 <pb n=182>
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parents:
diff changeset
7968 tubum SV, tran$euntem per aquil&aelig; corpus, &amp; apud V deri-
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parents:
diff changeset
7969 vatum per bina Aquil&aelig; capita ad ip$a v$que ro$tra. Epi$to-
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casties
parents:
diff changeset
7970 mia varia, quibus tubos in$tructos vides, tran$itum dant, adi-
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parents:
diff changeset
7971 muntqueaquis.
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casties
parents:
diff changeset
7972 <p>Hactenus Machin&aelig; partes explicavimus. U$us hic e$t.
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parents:
diff changeset
7973 Tria tholi receptacula impleantur aqu&acirc;, per totidem forami-
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parents:
diff changeset
7974 na F, G, H, qu&aelig; $emper manere debent aperta, vltimo exce-
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parents:
diff changeset
7975 pto, quod claudi pote$t. Va$culum LK, apert&acirc; cohle&acirc; L, im-
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parents:
diff changeset
7976 pletur aliqu&oacute;u$que, donec nimirum aqua trifidi tubuli orificia
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parents:
diff changeset
7977 modic&egrave; tran$grediatur, clauditurque diligenti$$im&egrave; foramen,
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parents:
diff changeset
7978 cochleol&acirc; convolut&acirc;. His pr&aelig;$titis aperitur epi$tomium N, &amp;
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parents:
diff changeset
7979 aqua va$culi vitrei LK delap$a per tubum IYNQ, a$cendit
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parents:
diff changeset
7980 paulatim intra vitreum tubum QR, mon$trans in $ingulis di-
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parents:
diff changeset
7981 vi$ionibus $ingulas horas. Quem in finem epi$tomium N ita
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parents:
diff changeset
7982 tempera<*>i debet, ut hor&acirc; qu&aelig;libet unam aqu&aelig; tran$grediatur
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parents:
diff changeset
7983 partem ex duodecim. Interim n&egrave; vacuum admittatur in va-
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parents:
diff changeset
7984 $culo LK, attrahitur per tubulum KE aqua receptaculi HE,
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parents:
diff changeset
7985 &amp; intra va$culum abit in trifidum fonticulum. Eodem tem-
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parents:
diff changeset
7986 pore aperitur epi$tomium M, &amp; aqua receptaculi FB de$cen-
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parents:
diff changeset
7987 dens per tubum BMO, in$inuat $e$e intra vitreum tubum
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casties
parents:
diff changeset
7988 OP, ea ratione, qua jam diximus. Tandem aperitur etiam
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parents:
diff changeset
7989 epi$tomium T, &amp; aqua receptaculi GCD de$cendens per ge-
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parents:
diff changeset
7990 minum tubum CX, DZ, in$inuat $e$e apud S intra tubum SV,
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parents:
diff changeset
7991 &amp; apud V diffundit $e in ora Aquil&aelig;, atque in alium fontem
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parents:
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7992 formatur. Repletis tubis vitreis PO, RQ, laxantur epi$tomia
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casties
parents:
diff changeset
7993 tubulorum $ubjectorum O<*>, Q<*>, &amp; de$cendens intra ba$im
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diff changeset
7994 A aqua $ignat in tuborum divi$ionibus horas ut antea, $i rit&egrave;
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diff changeset
7995 temperentur epi$tomia.
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diff changeset
7996 <C>ANNOTATIO I.</C>
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diff changeset
7997 <p><I>MIxtum e$t hujus Machinul&aelig; principium nempe vis attractiva,
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diff changeset
7998 &amp; Aqu&aelig; lap$us naturalis, ideoque ad cap.</I> 5. <I>$pectat. volui tamen
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diff changeset
7999 h&icirc;c adducere, ob $imilitudinem cum Machina I. Si opus fuerit, vt
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diff changeset
8000 a&euml;r tubis vitreis horodicticis inclu$us elabatur, dum aqua irrumpit;
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diff changeset
8001 fieri po$$unt in $ph&aelig;rularum</I> P &amp; R <I>$ummis capitibus minuti$$ima o$cula.</I>
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diff changeset
8002 <pb n=183>
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diff changeset
8003 <C>ANNOTATIO II.</C>
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diff changeset
8004 <p><I>DIvi$iones tuborum vitreorum in partes duodecim non po$$unt e$$e
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diff changeset
8005 <MARG>Tubi horo-
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diff changeset
8006 dictici in-
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parents:
diff changeset
8007 fonte c&aelig;$a-
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diff changeset
8008 r<*>.</MARG>
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diff changeset
8009 &aelig;quales, quoniam pl&ugrave;s aqu&aelig; recipiunt in principio, qu&agrave;m in fine:
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diff changeset
8010 quare majores erunt partes inferiores qu&agrave;m $uperiores. Divi$iones
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diff changeset
8011 etiam pro aqua de$cendente diver$&aelig; debent e$$e &agrave; divi$ionibus pro
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diff changeset
8012 a$cendente; &amp; quidem majores $uperi&ugrave;s qu&agrave;m inferi&ugrave;s. Expedit-
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diff changeset
8013 ergo, vt vnus tubus deputetur pro divi$ionibus aqu&aelig; a$cendentis, al-
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diff changeset
8014 ter ver&ograve; pro divi$ionibus aqu&aelig; de$cendentis. Lege etiam qu&aelig; dicimus
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diff changeset
8015 infr&agrave; in Aquila Horodictica cap.</I> 4. <I>Machina</I> 8. <I>&amp; qu&aelig; diximus Parte</I> 1.
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diff changeset
8016 <I>Protheoria</I> 4. <I>cap.</I> 3. <I>Propo$it.</I> 24.
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diff changeset
8017 <C>MACHINA IV.</C>
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diff changeset
8018 <C><I>Scyphus plenus per fundum effundens liquo-
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diff changeset
8019 rem, non plenus retinens.</I></C>
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diff changeset
8020 <p>SImiles Machin&aelig; communes $unt, &amp; pa$$im reperiuntur apud
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diff changeset
8021 Authores, Heronem, Schvventerum, Har$torfferum, Ga-
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parents:
diff changeset
8022 $parem Ens in $uo Thavmaturgo Mathematico. Quia tamen
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diff changeset
8023 <MARG>Vide Fi-
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parents:
diff changeset
8024 gur. IV.
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parents:
diff changeset
8025 Iconi$. II.</MARG>
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diff changeset
8026 artificium e$t ingenio$i$$imum, &amp; in $equentibus $&aelig;pe adhibe-
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parents:
diff changeset
8027 bitur; h&icirc;c apponendas huju$modi Machinas duxi. Vide etiam
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parents:
diff changeset
8028 qu&aelig; diximus Parte I. Protheoria IV. Propo$it. IX.
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diff changeset
8029 <p>Fiat Scyphus, aut Va$culum cuju$cunque figur&aelig; oblon-
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parents:
diff changeset
8030 g&aelig;, ex vitro, creta, $tanno, &amp;c. per cujus fundi medium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8031 <MARG><I>Scyphus per
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parents:
diff changeset
8032 tu$us.</I></MARG>
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parents:
diff changeset
8033 tran$igatur fi$tula IK vtrinque aperta, ita tamen, ut extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8034 mitas K ab$condatur intra pedem $cyphi, extremitas ver&ograve; I
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parents:
diff changeset
8035 non ad&aelig;quet omnino altitudinem $cyphi, $ed $it paul&ograve; infra
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parents:
diff changeset
8036 labiorum $ummitatem. Huic fi$tul&aelig; aliam ampliorem AB
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parents:
diff changeset
8037 veluti thecam $uperimpone, $uperi&ugrave;s in A clau$am, inferi&ugrave;s
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parents:
diff changeset
8038 ver&ograve; in B apertam, ita tamen, ut $ummitas A non attingat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8039 $ummitatem I, nec extremitas B attingat fundum Scyphi:
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parents:
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8040 vel $i attingit, relinquatur &agrave; latere prope fundum foramen B.
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diff changeset
8041 In vas ita pr&aelig;paratum infunde quemcunque liquorem; qui $e-
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parents:
diff changeset
8042 $e per foramen B in$inuans, tantum a$cendet intra fi$tulam
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parents:
diff changeset
8043 $eu thecam BA, quantum extra ip$am in ip$o va$e; nec effluet
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parents:
diff changeset
8044 <pb n=184>
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casties
parents:
diff changeset
8045 extra vas, quamdiu non pertinget u$que ad foramen I. Quam
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parents:
diff changeset
8046 prim&ugrave;m ver&ograve; pr&aelig;dictum foramen attigerit, intra ip$um $e$e
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casties
parents:
diff changeset
8047 in$inuans effluet ex K, nec ce$$abit donec totus liquor efflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8048 xerit, attractus per foramen B; quod foramen nece$$ari&ograve; $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8049 bit, ut laboranti Natur&aelig; ad vacuum vitandum $uccurrat; quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8050 utique daretur intra fi$tulam BA, ni$i per B alius liquor $ub-
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casties
parents:
diff changeset
8051 $titueretur liquori effluenti per fi$tulam IK.
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casties
parents:
diff changeset
8052 <C>ANNOTATIO I.</C>
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parents:
diff changeset
8053 <p><I>POte$t hac ratione parari Scyphus, qui dum manu tenetur, liquo-
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parents:
diff changeset
8054 rem retinet; dum ver&ograve; ori admovetur, ip$um effundit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8055 <C>ANNOTATIO II.</C>
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parents:
diff changeset
8056 <MARG>Vide Ico-
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casties
parents:
diff changeset
8057 ni$mi II.</MARG>
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casties
parents:
diff changeset
8058 <p><I>ALiter &amp; facili&ugrave;s idem effectus $equetur, $i intra $cyphum fiat $i-
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parents:
diff changeset
8059 phon recurvus</I> ABC, <I>cujus pars</I> AB <I>fundum non attingat, pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8060 <MARG>Fig. V.</MARG>
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parents:
diff changeset
8061 ver&ograve;</I> BC <I>$it longior qu&agrave;m</I> AB. <I>Quamdiu enim infu$us liquor, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8062 <MARG>Scyphus per
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parents:
diff changeset
8063 tu$us.</MARG>
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parents:
diff changeset
8064 intra $iphonem per</I> A <I>$e$e in$inuans, non pertinget v$que ad</I> B, <I>non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8065 effluet: At ubi ad</I> B <I>pertingit, ip$umque tandem tran$cendit; inna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8066 to pondere de$cendet ver$us</I> C, <I>&amp; effluet. Qu&ograve;d $i canalis aliquis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8067 aut fons novam $emper aquam va$i, alterutro modorum dictorum con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8068 $tructo, $uppeditet, $ic tamen, vt &aelig;quali tempore pl&ugrave;s aqu&aelig; effluat ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8069 $iphone</I> IK, <I>aut</I> ABC, <I>qu&agrave;m $uppeditetur &agrave; fonte; vas $emel eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8070 cuatum iterum replebitur, plenumque iterum evacuabitur, idemque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8071 effectus alteruis vicibus repetetur perpetu&ograve; $tatis horis, horarumve
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8072 partibus; $icque maris fluxus atque refluxus repr&aelig;$entabitur. Fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8073 hoc perbelle Antuerpi&aelig; in viridario</I> D. <I>Ayn$combe in quodam fonte.</I>
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casties
parents:
diff changeset
8074 <C>ANNOTATIO III.</C>
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casties
parents:
diff changeset
8075 <p><I>SI digito obtures foramen</I> C, <I>&amp; repleas $cyphum liquore, alteri&que;
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casties
parents:
diff changeset
8076 porrigas; dum is ip$um arripit, effluet liquor per</I> C, <I>retracto digito.</I>
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casties
parents:
diff changeset
8077 <C>ANNOTATIO IV.</C>
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casties
parents:
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8078 <p><I>SI liquer non pertingit ad</I> B, <I>&amp; inter bibendum applices ori partem</I>
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casties
parents:
diff changeset
8079 <*>, <I>nihil effluet; $i autem applices partem</I> E, <I>effluet: nam aqua</I>
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casties
parents:
diff changeset
8080 <*>A <I>ingrediens, &amp; ad</I> B <I>perventens, $ponte $ua delabetur ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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8081 <*></I>
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8082 <pb n=185>
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8083 <C>ANNOTATIO V.</C>
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8084 <p><I>OMnes pr&aelig;dict&aelig; operationes fiunt attractiva vi, propter metum
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diff changeset
8085 vacui. Tubus in prima figura appellatur diabetes, in $ecunda
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diff changeset
8086 tubus incurvatus, aut collum an$erinum.</I>
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diff changeset
8087 <C>MACHINA V.</C>
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diff changeset
8088 <C><I>Cancer Vomitor.</I></C>
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diff changeset
8089 <p>CLari$$imus Har$torfferus in Delicijs $uis Philo$ophomath&etilde;.
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diff changeset
8090 tom. 2. part. 8. qu&aelig;$t. 17. refert $equentem experientiam.
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diff changeset
8091 <MARG>Vide Ico-
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diff changeset
8092 ni$mi II.</MARG>
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diff changeset
8093 <p>Si $cyphus aqu&acirc; aut vino impleatur, coctu$que cancer
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diff changeset
8094 ip$i appendatur, prout in appo$ita apparet figura; effluet tan-
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diff changeset
8095 <MARG>Fig. VI.</MARG>
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diff changeset
8096 tum aqu&aelig; &egrave; $cypho, quantum cancer caud&acirc; $u&acirc; attigerit int&ugrave;s
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diff changeset
8097 convers&acirc;.
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diff changeset
8098 <p>Qu&aelig;rit Clari$s. Patritius, qu&acirc; id fiat ratione, c&ugrave;m aqua
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diff changeset
8099 $it gravis, nec a$cendere po$$it, ni$i fi$tularum artificio in altum
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diff changeset
8100 ducatur. Re$pondet ip$e, &amp; optim&egrave;, tamet$i nulla h&icirc;c interveniat
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diff changeset
8101 fi$tula $eu canalis clau$us, $i tamen cancri cauda con$ideretur,
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diff changeset
8102 <MARG><I>Cancer a-
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diff changeset
8103 qu<*> ex-
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diff changeset
8104 $puens.</I></MARG>
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diff changeset
8105 inveniri infra $quamas $eu corticem, uti &amp; in caud&aelig; interio-
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diff changeset
8106 ribus cavitatibus, qua$dam cavitates $eu inflexuras adin$tar
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diff changeset
8107 divi$&aelig; $ecund&ugrave;m longitudinem fi$tul&aelig;: &amp; per has cavitates,
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diff changeset
8108 ait, aquam ad labrum u$que $cyphi derivari, indeque defluere;
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diff changeset
8109 ad eum pror$us modum, quo contingit a$cendere de$cende-
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diff changeset
8110 reque aquam per $iphonem inflexum, quem in pr&aelig;cedenti fi-
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diff changeset
8111 gura exhibuimus in Annotatione II. collumque an$erinum ap-
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8112 pellavimus. Ita ille. Addo ego, interiores caud&aelig; partes vil-
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diff changeset
8113 lo$as e$$e &amp; $pongio$as, attrahereque ad $e aquas eo modo,
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diff changeset
8114 quo panni fru$tum, aut laneus funiculus $cypho pr&aelig;dict&acirc; ra-
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8115 tione appen$us attraheret. Dum igitur ad labrum u$que Scy-
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diff changeset
8116 phi attracta fuerit aqua &agrave; villo$is caud&aelig; partibus aquam $ibi
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8117 mutu&ograve; communicantibus, de$cendetinde per reliquum can-
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diff changeset
8118 cri corpus innato pondere in $ubjectum va$culum; vnde can-
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diff changeset
8119 cer exore vomitare aquam putatur. Inveni etiam infra ip$am
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diff changeset
8120 <pb n=186>
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8121 caudam $ecund&ugrave;m longitudinem exten$am venam ver$us can-
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diff changeset
8122 cri ventrem; qu&aelig; $i detrahatur antequam cancer coquatur,
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diff changeset
8123 effectus pr&aelig;dictus non $equitur. Per venam igitur pr&aelig;dictam
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diff changeset
8124 attrahi aquam aut vinum, credibile e$t.
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8125 <C>ANNOTATIO.</C>
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diff changeset
8126 <p><I>CAncer trahit aquam in$tar filtri $eu panni lanei, vt dixi; filtrum
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8127 reducitur ad $iphonem inver$um ut ben&egrave; explicat Mer$enuus in
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8128 Ph&aelig;nomenis hydraulicis Propo$it.</I> 35. <I>&amp; innuit Har$torfferus, vt vi-
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diff changeset
8129 dimus: ideo cancri pars extra prominens debet e$$e longior, qu&agrave;m in-
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8130 terior pars, vt in filtris. Vide Protheoriam</I> 4. <I>cap.</I> 2. <I>Propo$it.</I> 8.
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8131 <C>MACHINA VI.</C>
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8132 <C><I>Sph&aelig;ra vitrea Aqui$uga.</I></C>
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8133 <p>VA$i metallino DE cuju$cunque figur&aelig; &amp; magnitudinis, cui
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diff changeset
8134 de$uper vitrea $ph&aelig;ra C fit adferruminata, in$ere tubum AB,
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diff changeset
8135 <MARG>Vide Ico-
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parents:
diff changeset
8136 ni$mi II.</MARG>
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diff changeset
8137 in collum v$q; vitre&aelig; $ph&aelig;r&aelig; $e$e in$inuantem, &amp; &agrave; va$is ima ba-
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diff changeset
8138 $i forin$ec&ugrave;s inchoatum, $ic, vt oblatam externam aquam $or-
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8139 <MARG>Fig. VII.</MARG>
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8140 bere po$$it. Quo facto, $i vas ignis vi calefeceris, $ph&aelig;ra vi-
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parents:
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8141 <MARG><I>Phiala a-
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parents:
diff changeset
8142 qui$uga.</I></MARG>
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parents:
diff changeset
8143 trea a&euml;rem calidum &amp; rarefactum ex$puet per apertum cana-
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parents:
diff changeset
8144 lem: Si ver&ograve; $tatim prominens extra vas orificium tubi B ob-
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8145 turaveris, &amp; conch&aelig; aqu&acirc; frigid&acirc; plen&aelig; vas impo$ueris, donec
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parents:
diff changeset
8146 refrige$cat; a&euml;r int&ugrave;s inclu$us paulatim conden$abitur, &amp; $ecum
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diff changeset
8147 per tubum $uctu trahet aquam fili in$tar $alientem, tant&ograve; al-
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parents:
diff changeset
8148 ti&ugrave;s, quant&ograve; $uperius tubi o$culum fuerit $trictius. Machin&aelig;
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parents:
diff changeset
8149 principium e$t vis attractiva, propter vacui metum. Quis pu-
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diff changeset
8150 ta$$et &agrave; $angui$ugis Medicorum cucurbitulis vim tantam in
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diff changeset
8151 fontium $uavitatem po$$e derivari? inquit P. Theodorus Mu-
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parents:
diff changeset
8152 retus in Problemate de fontibus &sect;. 7.
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8153 <C>MAGHINA VII.</C>
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8154 <C><I>Siphon inver$us interruptus, elevans aquam
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diff changeset
8155 in quamvis altitudinem.</I></C>
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8156 <p>SUpr&agrave; Machina 2. pr&aelig;$crip$imus modum elevandi aquam in
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8157 <pb>
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8158 <CAP><I>Iconismus III. pag: 187.</I></CAP>
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8159 <FIG>
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parents:
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8160 <pb n=187>
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8161 determinatam altitudinem vi attractiva, ob vacui metum,
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8162 per $iphonem inuer$um interruptum: Nunc damus modum
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parents:
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8163 illi $imilem, elevandi aquam in quamlibet altitudinem; quem
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parents:
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8164 <MARG><I>Siphon in-
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parents:
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8165 ver$us in-
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8166 terruptus.</I></MARG>
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8167 oretenus didici &agrave; P. Kirchero, qui affirmavit mihi, $e ejus rei
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8168 experimentum feci$$e cum P. Chri$tophoro Gr&uuml;nberger, in
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8169 hoc Romano Collegio olim Mathematic&aelig; profe$$ore; quem
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8170 tamen modum deinde inveni etiam in Hydraulicis Ph&aelig;nome-
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diff changeset
8171 nis Marini Mer$enni Propo$it. 39. &amp; antea legeram apud Joan-
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diff changeset
8172 nem Bapti$tam Portam lib. 2. Spiritalium cap. 9. Pote$t e$$e v$ui,
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diff changeset
8173 quando elevanda e$t aqua &egrave; loco inferiori in locum altum, &amp;
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diff changeset
8174 infra locum inferiorem non pote$t de$cendi ad efficiendum
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diff changeset
8175 $iphonem &aelig;qualem altitudini, ad quam educenda e$t aqua;
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diff changeset
8176 quod tamen nece$$arium e$$et, $i per vnicum $iphonem de$cen-
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diff changeset
8177 dere deberet aqua, prout diximus loco citato. Pra$enti au-
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8178 tem artificio $uppletur de$cen$us $iphonis. Sic ergo $e habet
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diff changeset
8179 artificium.
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diff changeset
8180 <p>Fiant quotlibet va$a A, B, C, D, aquis recipiendis ac reti-
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diff changeset
8181 <MARG>Vide Ico-
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8182 ni$mi III.</MARG>
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8183 nendis apta, di$po$ita horizontaliter, $ui$que in$tructa $ipho-
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diff changeset
8184 <MARG>Fig. VIII.</MARG>
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diff changeset
8185 nibus, &amp; epi$tomijs Ba, Ca, Da. Fiant deinde alia totidem va-
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diff changeset
8186 $a, vno min&ugrave;s, E, F, G, difpo$ita verticaliter eo modo, quo fi-
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diff changeset
8187 gura appo$ita o$tendit, &amp; &aelig;qualis capacitatis cum va$is B, C, D.
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diff changeset
8188 Nectantur $uperiora cum inferioribus vafis, $iphonibus AE,
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diff changeset
8189 HI, KF, LM, NG, OP. Siphonibus AE, KF, NG &aelig;quales de-
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diff changeset
8190 bent e$$e $iphones Ba, Ca, Da inferiorum va$orum, (quamvis
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diff changeset
8191 id in Figura non exprimatur) hoc e$t, $iphon Ba, $iphoni AE,
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diff changeset
8192 &amp; $iphon Ca, $iphoni KF, &amp; $iphon Da, $iphoni NG. Im-
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diff changeset
8193 pleantur va$a inferiora aquis ex perenni fluvio aliav&egrave; aqu&acirc; pr&aelig;-
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diff changeset
8194 terfluente, per canales &amp; epi$tomia X; qu&aelig; aqua, dum plena
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diff changeset
8195 fuerint va$a, divertatur ali&ograve; &egrave; vafis B, C, D, n&egrave; ampli&ugrave;s in il-
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diff changeset
8196 la influere po$$it, n&eacute;ve $emper maneant plena; vas autem A
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diff changeset
8197 $it $emper plenum; $uperiora ver&ograve; va$a E, F, G $int vacua. His
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diff changeset
8198 ita di$po$itis, aperiatur epi$tomium $iphonis Ba, &amp; effluente
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diff changeset
8199 ex va$e B aqu&acirc;, $equetur per $iphonem HI, a&euml;r va$is E; in
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diff changeset
8200 quo n&egrave; detur vacuum, $equetur ex va$e A, per $iphonem
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diff changeset
8201 <pb n=188>
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diff changeset
8202 AE, aqua va$is A. Repleto igitur va$e E, (cujus $ignum e$t,
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diff changeset
8203 $i effluxerit tota aqua va$is B &aelig;qualis capacitatis cum va$e E)
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diff changeset
8204 aperiatur $iphon va$is C, &amp; effluente ex ip$o aqu&acirc;, $equetur
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diff changeset
8205 per $iphonem LM, ex va$e F, a&euml;r eju$dem va$is F; Ex va$e
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diff changeset
8206 ver&ograve; E $equetur aqua per $iphonem KF. Repleto va$e F,
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diff changeset
8207 aperiatur $iphon va$is D, &amp; trahetur ex va$e G a&euml;r per $ipho-
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diff changeset
8208 nem OP; ex va$e ver&ograve; F trahetur aqua per $iphonem NG.
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diff changeset
8209 Eodem modo procedes ulteri&ugrave;s, $i plura ad$int va$a. Tan-
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diff changeset
8210 dem ex $upremo va$e derivari pote$t aqua, per epi$tomium R,
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diff changeset
8211 in quos volueris v$us.
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diff changeset
8212 <C>MACHINA VIII.</C>
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parents:
diff changeset
8213 <C><I>Navis Horologa.</I></C>
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diff changeset
8214 <p>ORontius Fin&aelig;us, celebris olim apud Gallos mathematicus,
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8215 excogitavit, con$truxit, &amp; Chri$tiani$$imo Galliarum Regi
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parents:
diff changeset
8216 obtulit $equentem Machinam.
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parents:
diff changeset
8217 <MARG>Vide Ico-
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parents:
diff changeset
8218 ni$mi III.</MARG>
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parents:
diff changeset
8219 <p>Turriculam fecit ligneam quadrangulam &amp; altera parte
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parents:
diff changeset
8220 longiorem, qualem appo$itum repr&aelig;$entat $chema, altitudi-
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parents:
diff changeset
8221 <MARG>Fig. IX.</MARG>
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parents:
diff changeset
8222 nis circiter tricubitalis; intra quam collocavit vas plumbeum
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parents:
diff changeset
8223 <MARG><I>Navis ho-
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parents:
diff changeset
8224 rologa.</I></MARG>
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parents:
diff changeset
8225 D, aqu&acirc; mundi$$im&acirc; repletum, $ingula eiu$dem turricell&aelig; tan-
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parents:
diff changeset
8226 gens latera. Ad verticem autem $eu infra tectum coaptavit a-
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parents:
diff changeset
8227 xem AB, $uper polis A &amp; B cylindrum $eu tympanum E cir-
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parents:
diff changeset
8228 cumferentem, un&agrave; cum horarum indice, per polum A, tan-
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parents:
diff changeset
8229 quam centrum &AElig;quatoris $eu circuli horarij, in duodecim par-
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parents:
diff changeset
8230 tes &aelig;quales forin$ecus di$tributi, qu&aelig; duodecim &aelig;qualium hora-
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parents:
diff changeset
8231 rum intervalla repr&aelig;$entabant, prominente. Con$truxit in-
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parents:
diff changeset
8232 $uper navim cupream deauratam MN, ab aqua facil&egrave; $u$ten-
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parents:
diff changeset
8233 tatam: per cuius malum FG intus cavum di$po$uerat cana-
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parents:
diff changeset
8234 lem incurvatum $eu $iphonem inflexum HFI, tali artificio, ut
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parents:
diff changeset
8235 crus internum HB naviculum penetrans, &amp; extra eius fundum
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parents:
diff changeset
8236 prominens, aquam ip$am aliquantulum $ubingrederetur, exter-
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parents:
diff changeset
8237 num ver&ograve; &amp; longius crus FI extra malum GF, &amp; extra vas D
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parents:
diff changeset
8238 &agrave; latere promineret. Sump$it deinde funiculum, quem circum-
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parents:
diff changeset
8239 <pb>
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parents:
diff changeset
8240 <CAP><I>Iconismus IV. pag: 189.</I></CAP>
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parents:
diff changeset
8241 <FIG>
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parents:
diff changeset
8242 <pb n=189>
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parents:
diff changeset
8243 ligavit cylindro E; &amp; uni eius termino alligavit mali verticem
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parents:
diff changeset
8244 F, alteri ver&ograve; iu$ti perpendiculi pondus K. Tandem foraminis
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parents:
diff changeset
8245 I magnitudinem ita temperavit ac ju$tificavit, ut hor&aelig; unius
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parents:
diff changeset
8246 $patio tantum efflueret ex $iphone aqu&aelig; in vas L $ubjectum,
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parents:
diff changeset
8247 quantum $ufficiebat ut nave $ub$idente, &amp; cylindro perfunem
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parents:
diff changeset
8248 convoluto, index horarius per unum horarium intervallum pro-
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parents:
diff changeset
8249 moveretur. His pr&aelig;paratis, vas D reple batur aqu&acirc;, &amp; $uper-
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parents:
diff changeset
8250 impo$it&acirc; navi cum appen$o perpendiculo, con$titutoque indice
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parents:
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8251 $uper hor&aelig; dat&aelig; termino, ex$ugebatur per foramen I $iphonis
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parents:
diff changeset
8252 a&euml;r, $tatimque $equebatur per crus alterum HF aqua va$is D,
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parents:
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8253 propter vacui metum; tam diuque aqu&aelig; fluxus continuabatur,
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parents:
diff changeset
8254 donec tota aqua va$is D effluxi<*>et, $ub$id&etilde;te interim navi MN,
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parents:
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8255 &amp; trahente FE; quo tracto vertebatur &amp; cylinder E, &amp; index
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parents:
diff changeset
8256 horarius fun&etilde;, horisque $ingulis un&utilde; transgrediebatur horari&utilde; in
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parents:
diff changeset
8257 circulo notatum intervallum, propter aqu&aelig; fluxum ex crure FI
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parents:
diff changeset
8258 &aelig;qualem, c&ugrave;m altrum crus EH $emper c&ugrave;m navi de$cenderet,
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casties
parents:
diff changeset
8259 &amp; &aelig;qu&egrave; profund&egrave; $emper aquis e$$et immer$um, juxta dicta
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diff changeset
8260 Protheoria IV. cap. 2. Propo$it. 10.
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diff changeset
8261 <C>ANNOTATIO.</C>
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diff changeset
8262 <p><I>FAcilis e$t non min&ugrave;s qu&agrave;m ingenio$a hac Machina, &amp; $i $ingula par-
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diff changeset
8263 tes exact&egrave; elaborentur, infallibilem con$equetur effectum. Orna-
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diff changeset
8264 tus grati&acirc; addere poteris quod volueris, modan&egrave; <*>$tantia alteretur.
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diff changeset
8265 Aliud Horologium Hydraulic<*> invenies apud Rober<*> &agrave; Fluctibus
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diff changeset
8266 Tract.</I> 2. <I>Microco$mi parte</I> 8. <I>lib.</I> 3.
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diff changeset
8267 <C>MACHINA IX.</C>
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diff changeset
8268 <C><I>Siphon inver$ut horologus.</I></C>
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diff changeset
8269 <p>SUpr&agrave; Protheoria 4. cap. 2. Propo$it. 10. docuimus Modum
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diff changeset
8270 efficiendi, ut fluxus aqu&aelig; ex $iphone in ver$o $it $emper &aelig;qua-
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diff changeset
8271 <MARG>Vide Ico-
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diff changeset
8272 ni$mi IV.</MARG>
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diff changeset
8273 lis. Repetatur igitur con$tructio ac diagramma pr&aelig;dict&aelig; Pro-
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diff changeset
8274 <MARG>Fig. X.</MARG>
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diff changeset
8275 po$itionis; in quo $i vas ABOD aqu&acirc; repleatur, &amp; ex o$culo K
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diff changeset
8276 <MARG><I>Siphon h<*>-
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diff changeset
8277 r<*>gus.</I></MARG>
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diff changeset
8278 a&euml;r extrahatur, ob$erveturque quantum hor&aelig; $patio effluat a-
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diff changeset
8279 <pb n=190>
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diff changeset
8280 qu&aelig; ex crure externo LK, quantumque deficiat aqua in va$e,
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diff changeset
8281 atque in eius latere AO &aelig;qualia $patia notentur; habebitur ho-
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parents:
diff changeset
8282 rologium hydraulicum.
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diff changeset
8283 <C>MACHINA X.</C>
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diff changeset
8284 <C><I>Bina va$a, quorum uni $i aqua infundatur, al-
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diff changeset
8285 terum reddit vinum.</I></C>
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diff changeset
8286 <p>SEquentem Machinam habet Ioannes Bapti$ta Porta lib. 3.
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diff changeset
8287 Spirital. cap. 5. &amp; Ioannes Branca Figur&acirc; penultim&acirc; totius O-
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diff changeset
8288 peris $ui; pote$tque exhiberi in convivantium c&aelig;naculo. Sic
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diff changeset
8289 autem con$truitur.
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diff changeset
8290 <MARG>Vide Ico-
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diff changeset
8291 ni$mi IV.</MARG>
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diff changeset
8292 <p>In duobus oppo$itis alicuius C&oelig;na culi aut conclavis pa-
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diff changeset
8293 <MARG>Fig. XI.</MARG>
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diff changeset
8294 rietibus collocentur duo va$a vacua AB, &amp; Kf Ex va$e AB ad
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diff changeset
8295 <MARG><I>Va$a pro
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diff changeset
8296 aqua vin&utilde;
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diff changeset
8297 reddentia.</I></MARG>
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diff changeset
8298 vas fK deducatur canalis NMLK, qui intra parietes &amp; $upra con-
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diff changeset
8299 clavis tectum ita ab$condatur, ut &agrave; convivis videri non po$$it; $it-
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diff changeset
8300 que utrique va$i optim&egrave; ad ferruminatus apud N &amp; K, ubi dicta
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diff changeset
8301 va$a penetret. Infra conclavis pavimentum collocetur dolium
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diff changeset
8302 EF vino plenum; intra quod ex va$is deriventur canales BDE,
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diff changeset
8303 &amp; HGF; qui $imiliter ita ab$condantur, ut videri non po$$int:
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diff changeset
8304 &amp; $int adferruminati tam va$i, qu&agrave;m dolio. Canalis BDE
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diff changeset
8305 habeat epi$tomium C; &amp; alterum epi$tomi&utilde; f habeat vas Kf.
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diff changeset
8306 <p>His con$tructis, repleatur vas AB aqu&aacute; per os &amp; collum
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diff changeset
8307 A, &amp; obturetur diligenti$$im&egrave;, n&egrave; a&euml;rem recipere aut efflare per
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diff changeset
8308 dictum os po$$it. Obturetur $imiliter vas Kf. Deinde aperiatur
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diff changeset
8309 epi$tomium C; &amp; aqua va$is AB de$cendet per canalem BDE ad
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diff changeset
8310 dolium u$que: in locum ver&ograve; aqu&aelig; ex va$e AB effluentis $ucce-
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diff changeset
8311 det aer va$is Kf, per canalem MNLK, n&egrave; vacuum detur in va$e
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diff changeset
8312 AB: in locum ver&ograve; a&euml;ris ex va$e Kf elap$i, a$cendet vinum ex do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8313 lio per canalem FGH; vino denique ex dolio extracto $ucce-
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diff changeset
8314 detaqua. A$cendetautem vinum partim tractum ad impedien-
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diff changeset
8315 dum vacuum, partim impul$um ab aqua dolio $uperveniente.
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diff changeset
8316 Sijam aperiatur epi$tomium f, effluet vinum ex va$e Kf antea
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diff changeset
8317 vacuo, $tupentibus Convivantibus.
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diff changeset
8318 <pb n=191>
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8319 <C>ANNOTATIO I.</C>
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diff changeset
8320 <p><I>UT vinum ex va$e</I> Kf <I>per epi$tomium</I> f <I>effluere po$$it, nece$$e
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parents:
diff changeset
8321 e$t, ut dictumvas a&euml;rem alicubi recipiat: quare aut os</I> P <I>eiusdem
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diff changeset
8322 va$is, aut os</I> A, <I>va$is alterius aperiendum e$t. Depleto vino per epi-
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parents:
diff changeset
8323 $tomium</I> f, <I>reiterari pote$t eadem operatio. Procurandum etiam e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8324 vt perpendiculum</I> BD <I>non $it &verbar;brevius perpendiculo</I> GH; <I>ideoque
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diff changeset
8325 aut vas</I> Kf <I>demi$$iori loco collocandum e$t, qu&agrave;m vas</I> AB; <I>aut ca-
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parents:
diff changeset
8326 nalis</I> GH <I>decurtandus e$t in</I> f.
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parents:
diff changeset
8327 <C>ANNOTATIO II.</C>
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parents:
diff changeset
8328 <p><I>POte$t tubus</I> BDC <I>de$cendere u$que ad</I> R, <I>ibique aperiri, absque e&ograve;
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8329 qu&ograve;d in dolium derivetur. Si enim ex</I> R <I>effluat aqua, $equetur
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diff changeset
8330 idem effectus.</I>
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parents:
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8331 <C>CAPVT SECVNDVM.</C>
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8332 <C>De Machinis qu&aelig;fiunt vi expul$iva.</C>
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parents:
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8333 <p>PRincipium harum Machinarum appellamus
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8334 <MARG>Machin&aelig;
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8335 qu&aelig; fiunt
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parents:
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8336 vi Expul-
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parents:
diff changeset
8337 $iva.</MARG>
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8338 nunc vim Expul$ivam, nunc vim Compre$$i-
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8339 vam: expul$io enim ob corporum impene-
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8340 trabilitatem, non fit $ine compre$$ione; nec compre$$io,
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diff changeset
8341 in hi$ce Machinis, $ine expul$ione, $altem ut plurim&ugrave;m.
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diff changeset
8342 Pr&aelig;ter Machinas ver&ograve; $equentes, pertinent huc etiam
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8343 Machin&aelig; 7. 8. &amp; 11. Cla$$is 2. &amp; Machin&aelig; &sect;. 3. 5. 7. &amp; 9.
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diff changeset
8344 Protheori&aelig; 2.
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8345 <pb n=192>
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8346 <C>MACHINA I.</C>
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8347 <C><I>Fons Heronis in va$is immediatis.</I></C>
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8348 <p>QUamvis noti$$ima $it, &amp; pa$$im obvia, Machina illa
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casties
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diff changeset
8349 quam fontem Heronis appellant, ab Authore Hero-
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diff changeset
8350 ne Alexandrino, qui eam excogita$$e creditur, pa$-
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diff changeset
8351 $imque in $uode Spiritalibus libello ip$ius artificium
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diff changeset
8352 adhibet, pr&aelig;$ertim cap. 36. in Satyri aquam ex utre fundentis
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diff changeset
8353 con$tructione, &amp; cap. 72. in lucern&aelig; pr&aelig;paratione, quam $upr&agrave;
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diff changeset
8354 Parte 1. Protheoria 2. &sect;. 5. exhibuimus; vi$um tamen fuit eam
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diff changeset
8355 h&icirc;c apponere, quoniam multarum, qu&aelig; deinceps $equen-
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diff changeset
8356 tur, Machinarum con$tructio ex illius con$tructione dependet.
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diff changeset
8357 Meminit hujus fontis P. Athana$ius Kircherus lib. 10. de Lumine
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diff changeset
8358 &amp; Umbra, part. 2. cap. 7. Experim. 5. quo fontem igneum ex-
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diff changeset
8359 hibere docet; ubi tamen dee$t $chema fontis, Typographi in-
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diff changeset
8360 curi&acirc;. Binos etiam in Mu$eo $uo exhibetidem Kircherus, &egrave;
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diff changeset
8361 vitro affabr&egrave; elaboratos. Similem habet Cardanus de $ubtilit.
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diff changeset
8362 Daniel Schwenterus in Delicijs Phy$ico- Mathem. part. 13.
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diff changeset
8363 qu&aelig;$t. 13. Salomon &agrave; Caus, Ioannes Bapti$ta Porta, &amp; alij pa$-
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diff changeset
8364 $im. Sic autem con$truitur.
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diff changeset
8365 <MARG>Vide Ico-
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diff changeset
8366 ni$mi V.</MARG>
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diff changeset
8367 <p>Fiat vas oblongum GCFL, cuiuscunq: figur&aelig;, diaphra-
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diff changeset
8368 gmate $eu fepto IFE in duo receptacula $e<*>a$a, $ibi mutu&ograve; im-
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diff changeset
8369 <MARG>Fig. I.</MARG>
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diff changeset
8370 mediata divi$um, GC $uperius, &amp; FL inferi&ugrave;s. Vas $uperi-
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diff changeset
8371 <MARG><I>Fons He-
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diff changeset
8372 ronis.</I></MARG>
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diff changeset
8373 us habeat labrum DB in$tar pelvis cocavum, cum foramine
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diff changeset
8374 K: inferius FL habeatepi$tomium $eu claviculam volubilem
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diff changeset
8375 H, ad deplendam aquam &egrave; $uperiore in inferius delap$am. Fiat
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diff changeset
8376 deinde tubulus $eu fii$tula ABC, qu&aelig; tran$eat per labrum, per-
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diff changeset
8377 tingatque fer&egrave; u$que ad diaphragma ubi C, quod tamen non
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diff changeset
8378 debet attingere; $uperi&ugrave;s ver&ograve; extra labrum, de$inat in canali-
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diff changeset
8379 culum &amp; o$culum $tricti$$imum A. Fiat pr&aelig;terea fi$tula DE,
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diff changeset
8380 cuius $upremum os D $itum $it in $uperficie exteriori labri BD,
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parents:
diff changeset
8381 infimum ver&ograve; de$inat aut paul&ograve; infra $eptum $eu diaphragma
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diff changeset
8382 perforatum, ubi E, aut paul&ograve; $upra $undum ubi L. Fiat de-
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diff changeset
8383 <pb>
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diff changeset
8384 <CAP><I>Iconismus V. pag: 193.</I></CAP>
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diff changeset
8385 <FIG>
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parents:
diff changeset
8386 <pb n=193>
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diff changeset
8387 nique fi$tula GF, qu&aelig; penetret $eptum, at neclabrum, nec fun-
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diff changeset
8388 dum tangat; $ed $upremum os G de$inat paul&ograve; infra labrum
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diff changeset
8389 ubi G, infimum paul&ograve; infra $eptum ubi F.
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parents:
diff changeset
8390 <p>His ita con$tructis, impleatur vas GC aqu&acirc;, aliov&egrave; liquo-
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diff changeset
8391 re, perforamen K inlabro factum, &amp; diligenter obturetur, n&egrave;
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diff changeset
8392 a&euml;r egredi, autingredi po$$it. Deinde impleatur etiam labrum;
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diff changeset
8393 &amp; aqua per o$culum D canalis DE de$cendet in vas vacuum
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diff changeset
8394 FL, ibiq; pre$$um a&euml;rem expellet per fi$tulam FG, in vas GC; ubi
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diff changeset
8395 premet aquam, eamque m agno impetu ejiciet per fi$tulam
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diff changeset
8396 CBA; qu&aelig; tamen relabetur in labrum BD, in$inuabitque $e$e
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diff changeset
8397 perfi$tulam DE, in vas inferius FL durabitque hic aqu&aelig; $altus,
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diff changeset
8398 qu&agrave;m diu in labro BD, &amp; in va$e GC erit aqua, aut donec im-
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diff changeset
8399 pleatur vas inferius FL. Quo repleto, $i depleatur per epi$to-
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diff changeset
8400 mium H, &amp; iterum repleatur vas GC; re$taurabitur fons.
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diff changeset
8401 <C>ANNOTATIO I.</C>
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parents:
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8402 <p><I>IN hoc fonte (quem Heronis fontem in va$is immediatis appellare pla-</I>
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parents:
diff changeset
8403 <MARG>Fontis He-
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parents:
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8404 ronis prin-
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parents:
diff changeset
8405 cipium mo
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parents:
diff changeset
8406 v&etilde;s e$t vis
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parents:
diff changeset
8407 Expul$iva.</MARG>
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parents:
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8408 <I>cuit, ad differentiam alterius in va$is mediatis con$tructi, de quo pau-
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diff changeset
8409 l&ograve; po$t) $alit in altum aqua vi Expul$iva $eu compre$$iva, qu&acirc; a&euml;rem a-
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parents:
diff changeset
8410 qua, &amp; hanc vici$$im a&euml;r comprimit, &amp; $ibi mutu&ograve; locum cedunt, uti ex
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diff changeset
8411 dictis patet. Quare machina non e$t pur&egrave; hydraulica, $ed hydro-pnev-
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diff changeset
8412 matica, id e$t, aqu&aelig; &amp; a&euml;ris ope animata. Binas huius modi machi-
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diff changeset
8413 nas, ut dixi, exhibemus in Mu$eo no$tro, &egrave; vitro elaboratas, ip$is etiam
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parents:
diff changeset
8414 tubulis &egrave; vitro confectis. Aliam grandiu$culam &egrave; vitro, &amp; apprim&egrave;
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parents:
diff changeset
8415 concinnam, $pectare memini h&icirc;c apud quendam rerum huiusmodi
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diff changeset
8416 valde $tudio$um; $ed cum concha aqu&aelig; ponderi $u$tinendo diuti&ugrave;s impar
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8417 e$$et, crepuit me in$pectante, non $ine Artificis indignatione; quod ad
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8418 Mechanicorum cautelam dictum velim.</I>
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8419 <C>ANNOTATIO II.</C>
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8420 <p><I>FI$tula</I> DL, <I>&agrave;</I> D <I>u$que ad</I> E, <I>non debet e$$e brevior qu&agrave;m fi$tula</I>
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diff changeset
8421 CA, <I>ut perpendiculum aqu&aelig; cadentis per</I> DL, <I>&agrave;</I> D <I>u$que ad $u-</I>
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8422 <MARG>Fons He-
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parents:
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8423 ronis alti-
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8424 us eiacula-
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parents:
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8425 tur aquam
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8426 in princi-
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parents:
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8427 pio, qu&agrave;m
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8428 po$tea.</MARG>
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8429 <I>perficiem aqu&aelig; va$is</I> FL, <I>$it $emper maius, aut $altem &aelig;quale perpen-
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8430 diculo aqu&aelig; $alientis per</I> CA. <I>Vnde con$ultum fuerit, ut dicta fi$tula</I>
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8431 CA <I>non mult&ugrave;m emineat extra operculum</I> BD. <I>Tant&ograve; etiam alti&ugrave;s</I>
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8432 <pb n=194>
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8433 <I>$aliet aqua ex</I> A, <I>quant&ograve; o$culum</I> A <I>fuerit $trictius. Et quoniam
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8434 in principio $emper longius e$t perpendiculum aqu&aelig;</I> DL, <I>&agrave;</I> D, <I>u$que ad
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8435 aqu&aelig; $ubiect&aelig; $upremam $uprrficiem, qu&agrave;m po$t principium; ideo $emper
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8436 minus ae min&ugrave;s alt&egrave; ex$ilit aqua ex</I> A. <I>Pr&aelig;$tat etiam ut inferius re-
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parents:
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8437 ceptaculum</I> P&verbar;L <I>$it capacius qu&agrave;m $uperius</I> GC. <I>Defectu perpendiculi
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diff changeset
8438 aqu&aelig; cadentis, defectuo$a e$t lucern&aelig; Heronis c.</I> 72. <I>$upr&agrave; nominato con-
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diff changeset
8439 $tructio, $altem prout interpretes Heronis ip$am explicant, ut dixi Pro-
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parents:
diff changeset
8440 theoria</I> 2. &sect;. 5.
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parents:
diff changeset
8441 <p><I>Quod dixi h&icirc;c de perpendiculo aqu&aelig; cadentis, &amp; a$cendentis, di-
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parents:
diff changeset
8442 ligenter not andum e$t in omnibus $imilibus Machinis: quod tamen &agrave;
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diff changeset
8443 paucis fuit ob$ervatum. Vide Protheor.</I> 2. &sect;. 4 <I>Quod attinet ad $i-
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parents:
diff changeset
8444 $tulam</I> FG, <I>nilrefert, qu&agrave;m $it longa, aut larga, in hac, &amp; $imilibus
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parents:
diff changeset
8445 Machinis. H&icirc;c tamen infra operculum concavum apud</I> G <I>de$inere
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parents:
diff changeset
8446 debet, n&egrave; $i brevior fiat, parum aqu&aelig; capiat vas</I> GC, <I>ejiciend&aelig; per</I>
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parents:
diff changeset
8447 CA <I>fi$tulam.</I>
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parents:
diff changeset
8448 <C>ANNOTATIO III.</C>
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parents:
diff changeset
8449 <C><I>Fonticulus $imilis fonti Heronis.</I></C>
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diff changeset
8450 <p><I>SImile artificium $implici&ugrave;s exhiberi pote$t hac ratione. Fiat vas in-</I>
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parents:
diff changeset
8451 <MARG>Vide Ico-
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parents:
diff changeset
8452 ni$. V. Fi-
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parents:
diff changeset
8453 gur. II.</MARG>
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parents:
diff changeset
8454 <I>$tar campan&aelig;</I> ABCD, <I>habens fundum</I> CD, <I>&amp; in fundo parvum
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parents:
diff changeset
8455 foramen.</I> E. <I>Huic va$i imponatur, &amp; optim&egrave; adglutinetur aliud vas
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parents:
diff changeset
8456 cylindricum</I> ABFG, <I>$uperi&ugrave;s habens operculum, &amp; in operculo foramen</I>
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parents:
diff changeset
8457 <MARG>Fonticulus
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parents:
diff changeset
8458 $imilis He-
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parents:
diff changeset
8459 ronis fon-
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parents:
diff changeset
8460 <*>t.</MARG>
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parents:
diff changeset
8461 <I>cum infundibulo</I> N. <I>Intra cylindricum hoc vas fiant duo tubuli. Pri-
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parents:
diff changeset
8462 mus $it</I> IK, <I>quipenetret paululum campan&aelig; dor$um</I> AB <I>apud</I> I, <I>&amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8463 $uperi&ugrave;s apud</I> K <I>di$tet paululum ab operculo va$is cylindrici. Alter $it</I>
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parents:
diff changeset
8464 LM, <I>qui tran$eat operculum, &amp; modic&egrave; $upra ip$um excedat, de$inat-
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parents:
diff changeset
8465 que in o$culum $tricti$$imum apud</I> M.: <I>inferi&ugrave;s autem apud</I> L <I>di$tet
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parents:
diff changeset
8466 parum &agrave; dor$o campan&aelig;. His factis reple va$culum</I> FGAB, <I>aqu&acirc;, &amp;
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parents:
diff changeset
8467 diligenter obtura: deinde impone campanam va$i alicui&aelig; qu&acirc; pleno;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8468 &amp; ingrediens aqua per foramen</I> E. <I>pellet aerem per tubulum</I> IK; <I>a&euml;r
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parents:
diff changeset
8469 ver&ograve; premet aquam va$culi</I> FGAB, <I>&amp; per tubulum</I> LM <I>expellet in al-
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parents:
diff changeset
8470 tum vi expul$iva ob corporum inpenetrabilitatem, nullo etiam pr&aelig;$ente
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parents:
diff changeset
8471 perpen diculo aqu&aelig; cadentis, ut in priori Machina.</I>
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parents:
diff changeset
8472 <pb n=195>
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parents:
diff changeset
8473 <C>ANNOTATIO IV.</C>
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parents:
diff changeset
8474 <p><I>POte$t vas $uperius</I> GC, <I>prior is figurarepleri $ine foramine</I> K. <I>&amp;</I>
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parents:
diff changeset
8475 <MARG>Fons He-
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parents:
diff changeset
8476 ronis quo-
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parents:
diff changeset
8477 modo im-
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parents:
diff changeset
8478 pleatur.</MARG>
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parents:
diff changeset
8479 <I>inferius</I> FH, <I>depleri $ine epi$tomio</I> H, <I>t&aelig;lipacto. Tubulus</I> DE
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parents:
diff changeset
8480 <I>producatur, ut dixi, u$que ad</I> L, <I>ita tamen, ut fundum va$is non at-
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parents:
diff changeset
8481 tingat, $edtantum abip$o di$tet, quantum aqu&aelig; effluxui $ufficit. De-
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parents:
diff changeset
8482 inde per os</I> D, <I>fi$tul&aelig;</I> DL, <I>impleatur vas</I> FH. <I>Replebitur autem,
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parents:
diff changeset
8483 quoniam quantum aqu&aelig; per fi$tulam</I> DL <I>ingredietur, tantum a&euml;ris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8484 egredietur per fi$tulam</I> FG <I>in vas</I> GC, <I>indeque erumpet per fi$tulam</I>
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parents:
diff changeset
8485 CA. <I>Impleto va$e</I> FH, <I>inverte totam Machinam, &amp; aqua va$is
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parents:
diff changeset
8486 pradicti in$inuabit $e$e per fi$tulam</I> FG, <I>in vas</I> GC. <I>In$inuabit au-
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parents:
diff changeset
8487 tem $e$e indictum vas, quoniam a&euml;r per fi$tulam</I> CA <I>elabetur ut antea.
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parents:
diff changeset
8488 Vas etiam</I> FH <I>evacuabitur, quia effluente per fi$tulam</I> FG <I>aqu&acirc;, $ub-
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parents:
diff changeset
8489 $tituetur per fi$tulam</I> DL <I>a&euml;r. Impleto jam va$e</I> GC, <I>&amp; evacuato
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parents:
diff changeset
8490 va$e</I> FH, <I>re$tituatur Machina in $itum $uum pri$tinum, &amp; labrum</I>
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parents:
diff changeset
8491 BD <I>repleatur aqu&acirc;; qu&aelig; per fi$tulam</I> DL <I>$e$e in$inuans intra vas</I>
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parents:
diff changeset
8492 FH, <I>inde expellet a&euml;rem per fi$tulam</I> FG, <I>a&euml;r ver&ograve; premet aquam va-
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parents:
diff changeset
8493 $is</I> GC, <I>&amp; violenter per fi$tulam</I> CA <I>expellet, atque in altum proji-
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parents:
diff changeset
8494 ciet, tanto maiori vi, quanto vehementior erit compre$$io.</I>
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parents:
diff changeset
8495 <C>MACHINA II.</C>
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parents:
diff changeset
8496 <C><I>Clep$ydra Heroniana.</I></C>
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parents:
diff changeset
8497 <p>CLep$ydram Heronianam appellamus $equentem Machin&atilde;<*>
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parents:
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8498 quoniam ad clep$ydr&aelig; formam, &amp; fontis Heronis jam de-
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parents:
diff changeset
8499 $cripti artificium, e$t effigiata: nihilque aliud e$t, qu&agrave;m dupli-
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parents:
diff changeset
8500 catus Heronis fons, ut ex fabrica patebit. De$cribit ip$am P.
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parents:
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8501 Kircherus lib. 3. Artis Magnet. part. 2. cap. 3. Experim. 1. &amp; exip$o
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parents:
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8502 clari$$imus Vir Georgius Philippus Har$torfferus Patritius No-
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parents:
diff changeset
8503 rimbergen$is in $uis Delicijs Philo$ophicis &amp; Mathemathicis,
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parents:
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8504 tom. 2. part. 8. qu&aelig;$t. 23. E$t autem nihil aliud, ut dixi, qu&agrave;m
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parents:
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8505 duo fontes Heronis hactenus de$cripti, fundis $uis inter $e coa-
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parents:
diff changeset
8506 gmentati, ut patebit. Sic autem con$truitur.
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parents:
diff changeset
8507 <p>Fiant duo va$a ex quavis materia aqu&aelig; re$i$tente, VX,
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parents:
diff changeset
8508 <pb n=196>
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parents:
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8509 <MARG>Vide Ico-
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parents:
diff changeset
8510 ni$mi V.</MARG>
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parents:
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8511 &amp; ST, e&acirc; form&acirc;, qu&acirc; fieri $olent vitrea va$cula arenalium horo-
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parents:
diff changeset
8512 logiorum; qu&aelig; diaphragmate $eu inter$epto YZ dirimantur,
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parents:
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8513 <MARG>Fig. III.</MARG>
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parents:
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8514 non $ecus ac in dictis fit arenalibus. Habeat autem vtrumque
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parents:
diff changeset
8515 vas fundum CA, PM paul&ograve; cavum forin$ecus, ut pro$ilientem
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parents:
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8516 <MARG><I>Clep$ydra
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parents:
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8517 Heroniana.</I></MARG>
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parents:
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8518 aquam velutin pelvi excipere po$$it; &amp; in utroque relinquatur
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parents:
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8519 foramen parvum A &amp; M. Vtrumque vas in$trues $uis $ipho-
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parents:
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8520 nibus $eu canalibus hoc pacto. Canalem CF, in loco C $u-
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parents:
diff changeset
8521 prem&aelig; partis va$is VX ferruminatum, per diaphragma YZ
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parents:
diff changeset
8522 u$que in fundum F diduces, ita tamen, ut fundum non attingat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8523 Deinde alium canaelem NG, per idem diaphragma YZ in G u$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8524 que duces, qui $imiliter fundum CA non tangat, &amp; clavicul&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8525 B per diaphragma adact&aacute; claudi po$$it, atque aperiri. Terti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8526 um denique canalem ex D, per operculum $eu fundum CA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8527 cui in loco tran$itus adferruminetur, diduces, qui infr&agrave; in D dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8528 phragma non attingat, $upr&agrave; ver&ograve; in o$culum minuti$$imum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8529 finat; &amp; habebis primam partem clep$ydr&aelig; paratam. Pori&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8530 alteram partem Machin&aelig;, vas videlicet ST, ijsdem omnin&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8531 $iphonibus (qui $unt PX, HT, GN) quibus vas VX in$truxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8532 $ti, eodem ordine, numero, $itu adornabis, ut in figura appa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8533 ret; quorum HT claviculam E habeat per diaphragma ada-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8534 ctam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8535 <p>Con$tructam hac ratione clep$ydram replebis aqu&acirc;, alio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8536 v&egrave; liquore, tali pacto. Concavo fundo CA infunde aquam;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8537 qu&aelig; per canalem CF defluet in vas inferius ST, donec re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8538 pletum $it totum, effluatque per canalem NM. Quo facto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8539 verte clep$ydram, ita ut vas ST aqu&acirc; plenum obtineat $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8540 riorem locum; defluetque aqua in vas VX per canalem NG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8541 apert&acirc; clavicul&acirc; B diaphragmati in$ert&acirc;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8542 <p>Va$e itaque VX aqu&acirc; repleto, obtura diligenter foramen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8543 P, &amp; o$culum M, canalium XP, &amp; NM, &amp; clau$o tubo HT
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8544 clavicul&acirc; E, verte iterum clep$ydram, vt vas VX obtineat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8545 $uperiorem locum, &amp; apert&acirc; clavicul&acirc; B affunde aquam pel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8546 vi CA: in$inuabit illa $e$e per canalem CF in vas ST, a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8547 remque ibi detentum fugabit per canalem NG apertum, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8548 <pb n=197>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8549 vas VX: Ver&ugrave;m propul$us a&euml;r aquam in vafe VX detentam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8550 tandem ex Natur&aelig; nece$$itate, n&egrave; corporum detur penetratio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8551 per canalem D in altum propellet; qu&aelig; in labrum $ive pelvim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8552 CA recidens, in inferius vas ST per canalem CF revertetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8553 Durabit autem $altus aqu&aelig;, qu&agrave;mdiu vas VX aquam conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8554 nuerit. Quare $i tantum aqu&aelig; &agrave; principio infuderis, quantum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8555 horarij $patij fluxui $ufficere experienti&acirc; deprehenderis; aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8556 evibratio horam quoque durabit. Ce$$ante fluxu aqu&aelig; va$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8557 VX, atque liquore per canalem CF in vas ST recepto, clau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8558 de os C, &amp; o$culum canalis D, claviculamque B canalis NG;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8559 verte clep$ydram, ita vt vas ST $uperiorem partem occupet;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8560 apert&acirc;que clavicul&acirc; E, infunde pelvi $eu labro PM aquam:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8561 &amp; ea, ut pri&ugrave;s, per canalem PX in vas VX vacuum recepta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8562 a&euml;rem ibi detentum per canalem ZK in vas ST fugabit; a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8563 cum aqua in va$e contenta incompo$$ibilis, liquorem per $ipho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8564 nem NM expellet; qui recidens in labrum PM, per cana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8565 lem PX denu&ograve; in pri$tinum vas VX relabetur. Fluxu itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8566 peracto, $i clau$is foraminibus, ut pri&ugrave;s egeris, inver$a clep$y-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8567 dra horam incipiet $aliendo metiri; durabitque h&aelig;c vici$$itu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8568 do perpetu&ograve;, $i perpetu&ograve; clep$ydra po$t aqu&aelig; effluxum vertatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8569 <C>ANNOTATIO.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8570 <p><I>SI dictas conditiones $ervaveris omnes, infallibiliter effectus $eque-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8571 tur: $i vel unam omi$eris, fru$tra eum $perabis. Principium por-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8572 r&ograve; hujus Machin&aelig; idem e$t ac pr&aelig;cedentis, vis $cilicet compre$siva a&euml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8573 ris &amp; aqu&aelig;. Plura huc $pectantia invenies in Protheorijs. Circa ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8574 nalium longitudinem, &amp; inter $e proportionem, $ervanda $unt qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8575 diximus Machina pr&aelig;ced. Annot. II. &amp; in Protheoria</I> 2. &sect;. 4. <I>&amp;</I> 5. <I>Po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8576 te$t h&aelig;c Machina men$arum delicijs adhiberi inter convivandum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8577 <C>MACHINA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8578 <C><I>Fons Heronis in Va$is mediatis: item $cyphus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8579 diver$os ejiciens liquores.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8580 <p>HEronis fons, quem $upr&agrave; Machin&acirc; prim&acirc; de$orip$imus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8581 duobus con$tat va$is $ibi mutu&ograve; immediatis. Idem melio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8582 <pb n=198>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8583 ri $ucce$$u con$trui pote$t in va$is mediatis, &amp; &agrave; $e invicem per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8584 interlectas columnulas di$criminatis, tali pacto.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8585 <MARG>Vide Ico-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8586 ni$mi VI.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8587 <p>Fiant ex cupro, $tanno, argento, aliav&egrave; materia $olida, duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8588 va$a affabr&egrave; elaborata FAH, &amp; GLK, vn&acirc;, duabus, pluribu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8589 <MARG>Fig. IV.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8590 v&egrave; columnulis innixa, &amp; inter $e di$tincta; $itque inferius pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8591 l&ograve; majus &amp; altius qu&agrave;m $uperius. Operculum AO va$is FAH,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8592 <MARG><I>Fons Here-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8593 nis.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8594 $it aliquantul&ugrave;m concavum in parte exteriore in$tar conchu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8595 l&aelig;, aut pelvis. Ex va$e FAH, per operculum &amp; fundum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8596 ducatur canalis AE vtrimque apertus, qui operculum inferio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8597 ris va$is penetrans pertingat fer&egrave; v$que ad fundum eju$dem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8598 tantumque ab eo di$tet, ut aqua commod&egrave; effluere po$$it. Ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8599 va$e GLK, per ejus operculum deducatur alius canalis DC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8600 per fundum va$is FAH, qui de$inat paul&ograve; infra ejus operculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8601 apud C, nec ip$um attingat. Pr&aelig;$tat autem vt hic canalis $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8602 paul&ograve; laxior atque capacior qu&agrave;m prior AE, quoniam va$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8603 po$uimus in&aelig;qualia: qu&ograve;d $i &aelig;qualia fuerint va$a, vt in I. Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8604 china; vterque canalis poterit e$$e &aelig;qualis capacitatis. In me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8605 dio va$is $uperioris fiat canaliculus BM, qui incipiat paul&ograve; $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8606 pra fundum FH, &amp; tran$eat per operculum AO, habeatque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8607 orificium minuti$$imum M.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8608 <p>His factis, per os A imple vas KG aqu&acirc;, non tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8609 penitus, $ed quant&aelig; circiter capax e$t vas $uperius FAH. De-
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diff changeset
8610 inde inverte Machinam, vt aqua va$is GK per os D defluat
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diff changeset
8611 in vas FAH. Tandem verte iterum Machinam, &amp; operculo
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diff changeset
8612 concavo AO infunde $cyphum aqu&aelig;; qu&aelig; per A influens,
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diff changeset
8613 &amp; per E effluens in vas GK, premet a&euml;rem ibi detentum, eum-
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8614 que per canalem DC expellet in vas FAH, ibique pre$$am
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8615 aquam ejiciet per fi$tulam BM. Itaque principium motivum
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diff changeset
8616 hujus Machin&aelig; idem e$t cum pr&aelig;cedentibus in I. &amp; II. Machi-
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diff changeset
8617 na. Pote$t vas FAH impleri etiam per foramen O in pelui
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diff changeset
8618 AO factum; quod deinde diligenter obturari debet.
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diff changeset
8619 <C>ANNOTATIO I.</C>
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8620 <p><I>MEliorem $ucce$$um habet h&aelig;c Machina, qu&agrave;m $uperior, quia pro-
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diff changeset
8621 pter tubum</I> AE <I>longiorem, &amp; aqu&aelig; lap$um velociorem, vehe-</I>
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8622 <pb>
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diff changeset
8623 <CAP><I>Iconismus VI. pag: 199.</I></CAP>
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diff changeset
8624 <FIG>
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diff changeset
8625 <pb n=199>
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diff changeset
8626 <I>menti&ugrave;s premitur a&euml;r va$is inferioris, &amp; con$equenter aqua va$is $u-
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diff changeset
8627 perioris; vnde alti&ugrave;s $aliet ex fi$tula</I> BM: <I>nam e&ograve; alti&ugrave;s aqua a$cen-
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diff changeset
8628 dit vi a&euml;ris prementis, qu&ograve; profundi&ugrave;s de$cenderit illa, qu&aelig; premit;
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diff changeset
8629 intellige $upra aqu&aelig; planum. Hinc patet, alti&ugrave;s ferri aquam initio,
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diff changeset
8630 qu&agrave;m in medio, aut in fine temporis quo durat $altus aqu&aelig; per fi$tu-
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diff changeset
8631 lam</I> BM; <I>quia aqua qu&aelig; premit initio, profundi&ugrave;s de$cendit, nempe
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diff changeset
8632 ab</I> A <I>in</I> E; <I>qu&aelig; autem premit circa finem, de$cendit $ol&ugrave;m v$que in</I>
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diff changeset
8633 L, <I>aut min&ugrave;s, vti notavimus etiam Machina I. Annot. II.</I>
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diff changeset
8634 <C>ANNOTATIO II.</C>
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diff changeset
8635 <p><I>FOns hactenus con$tructus, non ni$i in loco humili delap$am ab al-
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diff changeset
8636 <MARG>Vide Ico-
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diff changeset
8637 ni$mi VI.</MARG>
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diff changeset
8638 tiori &amp; modico va$e lympham exilire patitur in altum. Qu&ograve;d
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diff changeset
8639 <MARG>Fig. V.</MARG>
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diff changeset
8640 $i arrideat tibi, vt in $ummo domus $olario, aut conclavi eam, quam
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diff changeset
8641 ibi amplo va$e conclu$am habes, aquam $pectes $alientem, efficies id
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diff changeset
8642 <MARG>Fons Here-
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diff changeset
8643 nis in loco
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diff changeset
8644 alto.</MARG>
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diff changeset
8645 hoc modo. Vas in fontis aut montis formam elaboratum, colloca in
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diff changeset
8646 loco aliquo $uperioris $olarij, aut conclavis, vbi pavimentum aut per-
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diff changeset
8647 foratum e$t, aut facil&egrave; perforari pote$t; $itque vas</I> FAH, <I>habens cra-
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parents:
diff changeset
8648 terem</I> AO <I>recipiend&aelig; aqu&aelig; accommodatum. Huic va$i in$ere tu-
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parents:
diff changeset
8649 bum ejaculatorium</I> BM, <I>prop&egrave; ad imum v$que fundum pertingen-
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parents:
diff changeset
8650 tem, habentemque ad</I> M <I>orificium angu$tum. Deinde alium cana-
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diff changeset
8651 lem</I> CD <I>prop&egrave; &agrave; $upremo va$is operculo intrin$ecus demitte per va-
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diff changeset
8652 $is fundum, &amp; per conclavis pavimentum, v$que in inferiorem $ub-
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parents:
diff changeset
8653 jectum locum; vbi in$eretur $upremo operculo alterius cuju$piam &aelig;qu&egrave;
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diff changeset
8654 capacis va$is</I> GK. <I>Tandem alium canalem</I> AE <I>deduc ex inferiori
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diff changeset
8655 va$e per pavimentum, fundumque $uperioris va$is, v$que ad exti-
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diff changeset
8656 mam Crateris $uper$iciem. His ita rit&egrave; con$tructis, per foramen ali-
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diff changeset
8657 quod in cratere factum imple $uperius vas</I> FAH; <I>&amp; obturato ben&egrave;
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parents:
diff changeset
8658 foramine infunde aquam in craterem</I> AO; <I>qu&aelig; ut ant&egrave; per canalem</I>
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parents:
diff changeset
8659 AE <I>delap$a in vas inferius; expellet a&euml;rem per canalem</I> DC; <I>qui re-
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parents:
diff changeset
8660 ceptus in vas $uperius, nec exitum inveniens, coget aquam pro$ilire
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diff changeset
8661 in altum per canalem</I> BM; <I>qu&aelig; c&ugrave;m recidat in craterem, defluet in
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parents:
diff changeset
8662 imum vas, durabitque fontis ejaculatio, qu&agrave;m diu durabit aqua va-
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diff changeset
8663 $is $uperioris. Fontem h&icirc;c diver$is ex no$tra directione con$trui cu-
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parents:
diff changeset
8664 rarunt.</I>
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parents:
diff changeset
8665 <pb n=200>
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diff changeset
8666 <C>ANNOTATIO III.</C>
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parents:
diff changeset
8667 <C><I>Scyphus diver$os ejiciens liquores.</I></C>
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parents:
diff changeset
8668 <p><I>EX $tructura trium pr&aelig;cedentium Machinarum colligitur, qua ratio-
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parents:
diff changeset
8669 <MARG>Vide Ico-
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parents:
diff changeset
8670 ni$mi VI.</MARG>
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parents:
diff changeset
8671 ne con$trui po$$it Machinula qu&aelig;dam portatilis, qu&aelig; prim&ograve; a&euml;rem,
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parents:
diff changeset
8672 <MARG>Fig. VI.</MARG>
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parents:
diff changeset
8673 deinde duos diver$os liquores $ucce$$iv&egrave; ejaculetur. Fiant ergo tria
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parents:
diff changeset
8674 va$cula $eu receptacula,</I> AB, CD, EF, <I>ita di$po$ita, vt $cyphum re-
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parents:
diff changeset
8675 pr&aelig;$entent, prout in appo$ita figura apparet. Va$culum</I> AB <I>$it $upe-
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parents:
diff changeset
8676 <MARG>Scyphus He
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parents:
diff changeset
8677 ronianus.</MARG>
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parents:
diff changeset
8678 ri&ugrave;s apertum in$tar $cyphi, reliqua duo $int vndique clau$a. A fundo
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parents:
diff changeset
8679 va$culi</I> AB, <I>v$que ad fundum va$culi</I> EF, <I>derivetur tubulus</I> IK,
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parents:
diff changeset
8680 <I>vtrimque apertus, qui va$culi</I> EF <I>fundum non attingat, &amp; $upra
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parents:
diff changeset
8681 fundum va$culi</I> AB <I>paulul&ugrave;m emineat. Tubulus</I> LM, <I>vtrimque
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parents:
diff changeset
8682 $imiliter apertus, incipiat paul&ograve; infra fundum va$culi</I> AB, <I>&amp; de$i-
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parents:
diff changeset
8683 nat paul&ograve; po$t ingre$$um intra va$culum</I> EF. <I>Tubulus denique</I> GH,
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parents:
diff changeset
8684 <I>vtrimque etiam apertus, incipiat paulul&ugrave;m $upra fundum va$culi</I> CD,
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parents:
diff changeset
8685 <I>&amp; $uperi&ugrave;s vbi</I> H, <I>de$inat in o$culum $tricti$$imum. His ita di-
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parents:
diff changeset
8686 $po$itis, impleatur va$culum</I> AB <I>quovis liquore; v. g. aqu&acirc;; qu&aelig;
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parents:
diff changeset
8687 per tubulum</I> IK <I>paulatim delabetur intra va$culum</I> EF, <I>indeque
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parents:
diff changeset
8688 expellet a&euml;rem per tubulum</I> ML <I>intra va$culum</I> CD; <I>indeque erum-
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parents:
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8689 pet per tubulum</I> GH <I>cum $ibilo. Po$tquam tota aqua va$culi</I> AB
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parents:
diff changeset
8690 <I>de$cenderit intra va$culum</I> EF, <I>inverte totam Machinulam; &amp; aqua
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casties
parents:
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8691 va$culi</I> EF <I>defluet per tubulum</I> ML, <I>intra va$culum</I> CD. <I>Que
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casties
parents:
diff changeset
8692 facto, iterum inverte Machinulam, &amp; reple va$culum</I> AB <I>alio li-
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casties
parents:
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8693 quore, v. g. vino; quod per tubulum</I> IK <I>delabetur intra va$culum</I>
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parents:
diff changeset
8694 EF, <I>indeque expellet a&euml;rem per tubulum</I> ML <I>intra va$culum</I> CD,
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casties
parents:
diff changeset
8695 <I>vbi a&euml;r premet aquam inclu$am, &amp; per tubulum</I> GH <I>ejiciet. Hoc
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casties
parents:
diff changeset
8696 etiam facto, iterum inverte Machinulam; &amp; vinum va$culi</I> EF <I>de-
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parents:
diff changeset
8697 fluet intra va$culum</I> CD. <I>Quod vbi factum fuerit, re$titue Machi-
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parents:
diff changeset
8698 nulam in $itum $uum naturalem, &amp; imple va$culum</I> AB <I>alio liquore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8699 v. g. lact&egrave;; quod delap$um per tubulum</I> IK <I>expellet a&euml;rem &egrave; va$culo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8700 EF, <I>&amp; vinum &egrave; va$culo</I> CD, <I>vt antea dictum fuit. Similia eve-
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parents:
diff changeset
8701 nient, quoties alio liquore repleveris va$cula modo dicto. Hunc
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diff changeset
8702 $cyphum nonnemo h&icirc;c nuper con$truxit ex no$tra in$tructione, cum
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parents:
diff changeset
8703 applau$u.</I>
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parents:
diff changeset
8704 <pb>
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diff changeset
8705 <CAP><I>Iconismus VII. pag: 201.</I></CAP>
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parents:
diff changeset
8706 <FIG>
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parents:
diff changeset
8707 <pb n=201>
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parents:
diff changeset
8708 <C>MACHINA IV.</C>
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parents:
diff changeset
8709 <C><I>Fons Novus Poly$iphonius.</I></C>
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parents:
diff changeset
8710 <p>QUos hactenus dedimus Fontes, non ni$i exiguo tempore $ub-
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parents:
diff changeset
8711 mini$trare po$$unt aquas; ni fort&egrave; ampli$$ima adhibeantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8712 va$a: quem nunc proferimus, longi$$imo tempore ab initio ac-
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parents:
diff changeset
8713 ceptum va$is non admodum amplis reddet liquorem, ob fi$tu-
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parents:
diff changeset
8714 larum $eu $iphonum artificio$am multiplicationem; qua de cau-
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parents:
diff changeset
8715 $a &amp; poly$iphonium appellare placuit fontem, Proponam nu-
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parents:
diff changeset
8716 dum ac rude artificium, ingenio$us Lector ornatum addet, &amp;
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parents:
diff changeset
8717 $i quid deerit, $upplebit.
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parents:
diff changeset
8718 <p>Fiatitaque vas politum, in pr&aelig;$entem, aut $imilem me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8719 <MARG>Vide Ico-
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parents:
diff changeset
8720 ni$mi VII.</MARG>
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parents:
diff changeset
8721 liorem figuram elaboratum, di$tinctum per diaphragmata in
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parents:
diff changeset
8722 quotquot volueris receptacula 1, 2, 3, 4, habens binos in $um
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diff changeset
8723 <MARG>Fig. VII.</MARG>
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parents:
diff changeset
8724 mitate crateres AA, BB. A concava $uperficie crateris BB dedu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8725 <MARG><I>Fons Poly$i-
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parents:
diff changeset
8726 phonius.</I></MARG>
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parents:
diff changeset
8727 cantur per omnia va$is diaphragmata v$que ad infimum recepta-
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parents:
diff changeset
8728 culum, bini $iphones BC, utrimque aperti. Reliqui $iphones
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parents:
diff changeset
8729 DE, FG, HI, KL, di$ponantur prout figura mon$trat; eritque
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parents:
diff changeset
8730 fons poly$yrinx con$tructus.
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parents:
diff changeset
8731 <p>V$us hic e$t. Imple crateres aqu&acirc;; qu&aelig; de$cendet per fi$tu-
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parents:
diff changeset
8732 las BC in imum receptaculum, ibique detentum a&euml;rem ex-
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parents:
diff changeset
8733 pellet per fi$tulam DE in $ecundum receptaculum; mox ve-
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parents:
diff changeset
8734 r&ograve; vbi orificium D opertum fuerit aqu&acirc;, premetur re$iduus
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parents:
diff changeset
8735 a&euml;r &agrave; $ub$equente crateris aqua, pre$$u$que vrgebit aquam per
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parents:
diff changeset
8736 eandem fi$tulam DE in $ecundum receptaculum; vbi prim&ograve;
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parents:
diff changeset
8737 a&euml;r, deinde aqua pre$$a a$cendet per fi$tulam FG in tertium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8738 receptaculum; ex hoc tam a&euml;r, qu&agrave;m aqua per fi$tulam HI in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8739 quartum; &amp; ex hoc tandem aqua per fi$tulam KL a$cendet
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parents:
diff changeset
8740 $ummo impetu, relabeturque in crateres, &amp; ex crateribus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8741 fi$tulas BC in primum $eu infimum receptaculum, indeque
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parents:
diff changeset
8742 a$cendet in $ecundum, tertium, &amp; quartum, cyclic&acirc;, &amp; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8743 longum tempus continuat&acirc; itatione. Haud ab$imilem huic
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parents:
diff changeset
8744 fontem vidi h&icirc;c apud Medicum quendam eximium Hydro-
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casties
parents:
diff changeset
8745 technitem, qui jucundi$$imum pr&aelig;$tabat effectum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8746 <pb n=202>
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parents:
diff changeset
8747 <C>ANNOTATIO I.</C>
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parents:
diff changeset
8748 <p><I>DIco cyclic&acirc;, &amp; ad longum tempus continuat&acirc; itatione: non enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8749 perpetua erit, vt aliquis per$uadere $ibi po$$et; quia c&ugrave;m plus aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8750 de$cendere debeat per $iphones</I> BC, <I>qu&agrave;m a$cendere po$$it per $ipho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8751 nem</I> DE <I>in $ecundum receptaculum, implebitur vel penitus infimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8752 receptaculum, vel con$tipatus a&euml;r prohibebit vlteriorem de$cen$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8753 aqu&aelig;. Si dictum infimum receptaculum evacuetur per epi$tomium</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8754 M, <I>recurret eadem difficultas in $ecundo, ac deinde in tertio, &amp; quar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8755 to receptaculo; qu&aelig; propterea per propria epi$tomia evacuari $ubinde
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parents:
diff changeset
8756 debent.</I>
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casties
parents:
diff changeset
8757 <C>ANNOTATIO II.</C>
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parents:
diff changeset
8758 <p><I>VA$is pars infima $eu prima capacior &amp; altior e$$e debet qu&agrave;m $e-
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parents:
diff changeset
8759 cunda, &amp; h&aelig;c capacior &amp; altior qu&agrave;m tertia, reliqu&aelig;que infe-
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casties
parents:
diff changeset
8760 riores $uperioribus, quoniam citi&ugrave;s atque diuti&ugrave;s aqu&aelig; fluxum $u$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8761 nere debent inferiores qu&agrave;m $uperiores partes $eu receptacula. Item
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casties
parents:
diff changeset
8762 longiores debent e$$e canales</I> BC, <I>qu&agrave;m tubulus</I> KL; <I>qui tubulus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8763 KL, <I>qu&ograve; brevior erit, e&ograve; alti&ugrave;s ex$iliet aqua: quare omitti po$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8764 crater</I> AA, <I>non enim nece$$itati, $ed ornatui $ervit. Pote$t pr&aelig;ter-
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parents:
diff changeset
8765 ea receptaculum</I> 4. <I>dirimi ac $eparari &agrave; receptaculo</I> 3. <I>columnis inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8766 po$itis, prout factum vides in pr&aelig;cedenti Machina, vbi $uperius vas
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parents:
diff changeset
8767 $eparatum est ab inferiori: $ic enim fiet vt perpendiculum aqu&aelig; ca-
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parents:
diff changeset
8768 dentis per tubos</I> BC, <I>mult&ograve; $it longius, qu&agrave;m perpendiculum aqu&aelig;
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parents:
diff changeset
8769 a$cendentis per tubulum</I> KL. <I>Notandum etiam hoc e$t, $altum aqu&aelig;
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parents:
diff changeset
8770 ex tubulo</I> KL, <I>non durare diuti&ugrave;s qu&agrave;m lap$um aqu&aelig; per tubulos</I> BC
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casties
parents:
diff changeset
8771 <I>in infimum vas; quare hoc vas oppid&ograve; capax e$$e debet; vel evacu&aelig;-
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casties
parents:
diff changeset
8772 ri debet interim per diabetem, aut per $iphonem recurvum</I> mn. <I>Po$-
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casties
parents:
diff changeset
8773 $unt pr&aelig;terea $ingula receptacula habere $ua foramina per qu&aelig; implean-
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casties
parents:
diff changeset
8774 tur, &amp; epi$tomia, per qu&aelig; depleantur, ut $ic citi&ugrave;s fontis $altus exhibea-
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casties
parents:
diff changeset
8775 tur, &amp; diuti&ugrave;s per$everet. Fontis principium e$t vis compre$$iva, $eu
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casties
parents:
diff changeset
8776 expul$iva, idem nimirum quod pr&aelig;cedentium proxim&egrave;.</I>
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casties
parents:
diff changeset
8777 <pb n=203>
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casties
parents:
diff changeset
8778 <C>MACHINA V.</C>
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casties
parents:
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8779 <C><I>Fons perennis, alto in loco aquam &egrave; puteo pro-
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casties
parents:
diff changeset
8780 fundo $ubmini$trans.</I></C>
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parents:
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8781 <p>NOti$$imum e$t artificium, quo &egrave; puteis aut ci$ternis aqua
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parents:
diff changeset
8782 in altum educitur antli&acirc; manibus agitat&acirc;. Sed puteus tunc
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parents:
diff changeset
8783 $ol&ugrave;m tamdiu $ubmini$trat aquam, qu&agrave;mdiu manu concita-
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diff changeset
8784 tur antlia. H&icirc;c damus Machinam, qu&aacute; antliarum ope edu-
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diff changeset
8785 catur &egrave; puteo aqua in locum altum perenniter, ita ut fontem
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diff changeset
8786 perpetu&ograve; fluentem efformet. Machinam de$cribit ali&acirc; occa-
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diff changeset
8787 $ione P. Kircherus lib. 2. Artis Magnet. part. 4. cap. 1. Pr&aelig;lu$io-
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diff changeset
8788 ne 2. Probl. 5. &amp; iterum lib. 3. part. 2. cap. 3. Experim 2. Si quid
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parents:
diff changeset
8789 ob$curius fuerit, intelligetur meli&ugrave;s ex Machina $equenti.
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parents:
diff changeset
8790 <p>Fiat ventilabrum AB extra tectum eminens, ut flante
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diff changeset
8791 <MARG>Vide Ico-
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diff changeset
8792 ni$mi VII.</MARG>
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parents:
diff changeset
8793 vento circumagi po$$it; vel etiam intra tectum in conclavi quo-
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parents:
diff changeset
8794 <MARG>Fig. VIII.</MARG>
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parents:
diff changeset
8795 dam, modo in horologijs aut verubus v$itato, vt rotarum ar-
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parents:
diff changeset
8796 tificio po$$it gyrari. Ha$ta autem ventilabri tympano denta-
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parents:
diff changeset
8797 to DC in$tructa, vertat rotam dentatam EHF; manubrium
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parents:
diff changeset
8798 ver&ograve; tortum GH alligatum $it ferre&aelig; cuidam virg&aelig; QF, me-
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diff changeset
8799 diante ferro I; huic ver&ograve; ferre&aelig; virg&aelig; in P, annectatur ha$ta
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parents:
diff changeset
8800 PFH, cui embolus $eu cylindrulus alligatus in K di$ponatur
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parents:
diff changeset
8801 intra modiolum inver$um, in fundo habentem plati$matium;
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diff changeset
8802 hoc e$t, antlia (de qua $equenti Machina) pr&aelig;paretur in ip$o
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parents:
diff changeset
8803 puteo, aquis per $iphonem LNM in vas MO fundendis apta;
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parents:
diff changeset
8804 eritque in$trumentum pr&aelig;paratum. Flante igitur vento, aut
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diff changeset
8805 <MARG><I>Fons &egrave; pu-
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parents:
diff changeset
8806 teo aquam
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parents:
diff changeset
8807 attrahens.</I></MARG>
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parents:
diff changeset
8808 rotis circumactis, ventilabrum AB circumgyratum, tympano
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parents:
diff changeset
8809 $uo dentato, rotam alteram EHF dentatam, cui innectitur,
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parents:
diff changeset
8810 circumaget; hac circumact&acirc;, manubrium tortum GHI, fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8811 ream virgulam FQ, cui alligatum e$t per 1, nunc deprimet,
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parents:
diff changeset
8812 nunc attollet; ferrea ver&ograve; virgula depre$$ione &amp; elevatione $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8813 pi$tillum $eu tru$illum PFHK $ibi alligatum $imiliter nunc de-
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parents:
diff changeset
8814 primet, nunc attollet; fietque ut embolus K elevatus aquam
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parents:
diff changeset
8815 in antliam attrahat, depre$$us ver&ograve; attractam per a$$arium &amp;
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parents:
diff changeset
8816 <pb n=204>
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casties
parents:
diff changeset
8817 $iphonem LNM denu&ograve; violenter in vas MO expellat, idque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8818 perpetu&ograve;, qu&agrave;mdiu nimirum ventus flat, aut rotarum artifi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8819 cium movetur. Si igitur &egrave; latere va$is MO promineat cana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8820 lis in concham $ubjectam, $ubmini$trabit is perpetu&ograve; aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8821 fontis in$tar. Qu&ograve;d $i nolis effluere aquam &egrave; va$e MO, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8822 velis oam a$$ervare dome$ticis v$ibus; ordina $iphonem IX,
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casties
parents:
diff changeset
8823 per quem $uperflua aqua exonerare fe po$$it. Fit autem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8824 tus aqu&aelig; per hanc Machinam vi compre$$iva $eu di$pul$iva,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8825 vt meli&ugrave;s patebit ex $equenti Machina; vbi etiam dicetur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8826 quid $it a$$arium, $eu plati$matium, $eu vt no$trates appellant,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8827 ventile.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8828 <C>ANNOTATIO I.</C>
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casties
parents:
diff changeset
8829 <p><I>POte$t aqua ex puteo, aut lacu elevari in vas</I> MO <I>etiam per folles,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8830 tali ratione. Supra puteum, aut lacum, aut fluvium etiam, fiat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8831 follis</I> AB, <I>&egrave; cujus fundo ducatur $iphon $eu canalis</I> C <I>in ip$am v$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8832 que putealem, aut fluvialem aquam; $upra os ver&ograve; canalis</I> C <I>intra fol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8833 lem $it plati$matium $eu a$$arium, quod intus aperiri atque claudi po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8834 $it.</I> E <I>latere follis educatur $iphon</I> DLNM, <I>v$que in ip$um vas</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8835 MO; <I>qui quidem $iphon habeat $uum plati$matium in</I> D, <I>quod ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8836 $us follem intra $iphonem aperiri claudique po$$it. Tandem ha$ta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8837 AQ <I>alligetur folli in</I> A, <I>&amp; ferre&aelig; regul&aelig;</I> QF <I>in Q. His factis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8838 aperietur &amp; claudetur follis volutat&acirc; rot&acirc; cum manubrio $uo curvo;
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parents:
diff changeset
8839 &amp; apertus quidem attrahet aquam per canalem</I> C, <I>clau$us ver&ograve; ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8840 pellet ip$am in vas per canalem</I> DLNM; <I>prius quidem, ratione va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8841 cui; po$terius, ratione compre$$ionis.</I>
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casties
parents:
diff changeset
8842 <C>ANNOTATIO II.</C>
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casties
parents:
diff changeset
8843 <p><I>ROta</I> EHF <I>pote$t etiam verti &agrave; pr&aelig;terlabente fluvio, $i apponan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8844 tur ali&aelig; rot&aelig;, prout fit in molendinis, alij$que $imilibus Machinis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8845 <C>ANNOTATIO III.</C>
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casties
parents:
diff changeset
8846 <p><I>SI vna antlia non $ufficiat ad $ubmini$trandas va$i</I> MO <I>aquas &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8847 puteo, aut fluvio extractas, fieri po$$unt du&aelig;, quarum vna dum</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8848 <pb>
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casties
parents:
diff changeset
8849 <CAP><I>Iconismus VIII. pag: 205.</I></CAP>
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casties
parents:
diff changeset
8850 <FIG>
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casties
parents:
diff changeset
8851 <pb n=205>
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casties
parents:
diff changeset
8852 <I>elevatur, altera deprimatur. Modum indu$trio Artifici excogitan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8853 dum relinquo, poteritque e$$e $imilis illi, quem infr&agrave; in organo hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8854 draulico adducam Cla$$e</I> 3. <I>Machina</I> 1. <I>Pragmat.</I> 4. <I>&amp;</I> 5.
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casties
parents:
diff changeset
8855 <C>MACHINA VI.</C>
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casties
parents:
diff changeset
8856 <C><I>Antlia, $eu Cte$ibia Machina.</I></C>
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casties
parents:
diff changeset
8857 <p>QUid $it antlia (quam Itali vocant Trombam, Germani &amp;
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casties
parents:
diff changeset
8858 Galli Pompam,) &amp; quomodo con$truatur, pa$$im con$tat.
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parents:
diff changeset
8859 Quia tamen non omnes fort&egrave; eius cognitionem habent, aut
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casties
parents:
diff changeset
8860 ne$ciunt modum con$truendi, illum paucis docendum duxi;
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casties
parents:
diff changeset
8861 pr&aelig;$ertim c&ugrave;m in fequentibus Machinis $&aelig;p&egrave; v$us ip$ius inter-
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parents:
diff changeset
8862 veniat, &amp; in pr&aelig;cedenti etiam requiratur, ut vidimus.
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parents:
diff changeset
8863 <p>Intra aquam igitur, ubi pr&aelig;paranda e$t antlia, fiat ex li-
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parents:
diff changeset
8864 <MARG>Vide Ico-
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parents:
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8865 ni$. VIII.</MARG>
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casties
parents:
diff changeset
8866 gno duri$$imo, aut &aelig;re, modiolus AB, ben&egrave; intus l&aelig;vigatus;
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casties
parents:
diff changeset
8867 in cuius fundo $it foramen, &amp; $upra foramen $it a$$arium
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parents:
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8868 <MARG>Fig. IX.</MARG>
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diff changeset
8869 $eu platismatium F (Itali vocant Animellam, aut Cartellam,
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parents:
diff changeset
8870 alij ventile) quod intra modiolum elevari ac deprimi, &amp; con$e-
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casties
parents:
diff changeset
8871 quenter foramen occludere &amp; recludere po$$it. E latere mo-
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diff changeset
8872 <MARG><I>Antlia con-
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parents:
diff changeset
8873 $tructio.</I></MARG>
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parents:
diff changeset
8874 dioli, ubi L, fiat aliud foramen, &egrave; quo educatur $iphon $eu ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8875 nalis plumbeus (alterius v&egrave; materi&aelig;) LM, u$que ad locum,
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diff changeset
8876 vbi effundenda e$t aqua: intra canalem ver&ograve; ubi L, $eu ante
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parents:
diff changeset
8877 ip$um foramen laterale modioli fiat aliud a$$arium, quod extra
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casties
parents:
diff changeset
8878 modiolum aperiri po$$it &amp; claudi. Fiat deinde $imiliter ex li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8879 gno, aut &aelig;re, embolus $eu cylindrulus CD, qui $it optim&egrave; l&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8880 vigatus, &amp; exacti$$im&egrave; repleat modiolum, ita tamen ut facil&egrave; in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8881 tra ip$um elevari ac deprimi po$$it. Embolo alligetur ha$ta GH,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8882 ut $ic ha$ta cum embolo referat pi$tillum $eu tru$illum. Ha$t&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8883 acco&mtilde;odetur manubrium HIK, mobile circa vertebram aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8884 clavum I, &amp; erit pr&aelig;parata antlia. Si enim apud K depri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8885 matur, &amp; apud H elevetur manubrium, &amp; extrahatur ex mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8886 diolo embolus, elevabitur a$$arium F, &amp; per foramen irrum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8887 pet aqua, n&egrave; vacuum detur intra modiolum. Si deprimatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8888 apud H, &amp; elevetur apud K manubrium, &amp; embolus intru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8889 datur intra modiolum, comprimetur aqua antea intus recepta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8890 <pb n=206>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8891 &amp; ex una parte claudetur a$$arium F, ex altera ver&ograve; parte ape-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8892 rietur a$$arium L, &amp; magna violentia trudetur aqua intra ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8893 nalem LM; recept&auml; ver&ograve; aqu&acirc;, dum refluere nitetur, claude-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8894 tur a$$arium L, donec repetita emboli agitatione aperiatur ite-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8895 rum, iterumque intrudatur aqua intra canalem, effluatque tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8896 dem ex M. Effluxus ver&ograve; durabit tamdiu, qu&agrave;m diu agitabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8897 antlia. Vide Vitruvium lib. 10. cap. 12. &amp; ibidem Danielem Bar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8898 barum, aliosque Commentatores, &amp; Machinarum Scriptores,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8899 qui varijs alijs modis, facilioribus &amp; $implicioribus, eandem Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8900 chinam de$cribunt, &amp; con$truunt; Nobis e&acirc; ratione, qu&aelig; ad pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8901 ced. Mach. requiritur, ante oculosillam po$ui$$e, $ufficiat. Vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8902 de pr&aelig;terea qu&aelig; $cribimus infr&agrave; Cla$$e 2. Machina VIII.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8903 <C>ANNOTATIO I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8904 <p><I>MOtus porr&ograve; aqu&aelig; per hanc Machinam fit vi di$pul$iva per aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8905 compre$$ionem; attractio ver&ograve; aqu&aelig; intra modiolum fit vi attracti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8906 va ob vacui metum. Infra modiolum fieri pote$t cribrum ferreum, n&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8907 immundities aquarum ingrediatur per foramen, &amp; Machinam reddat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8908 inutilem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8909 <C>ANNOTATIO II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8910 <MARG><I>A$$arium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8911 $eu Plati$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8912 matium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8913 $eu Animel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8914 la, $eu ven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8915 tile.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8916 <p><I>AS$arium $eu Plati$matium aliqui vocant corium, quia aptatur eo fer&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8917 modo, quo corium intra folles, quod aperit &amp; claudit foramen ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8918 ventum recipiendum &amp; retinendum. Fieri pote$t varijs modis, prout Ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8919 ti$icibus placuerit. Vniver$aliter tamen $upra foramen, per quod aqu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8920 tran$ire debet, vt e$t in figura</I> F, &amp; L, <I>affigi debet lamina qu&aelig; ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8921 vari ac deprimi ex vna parte po$$it, manente alter&acirc; affix&acirc;. Aliqui a$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8922 $arium vocant ventile.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8923 <C>ANNOTATIO III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8924 <MARG><I>Antlia in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8925 tra cannas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8926 arundineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8927 aquam at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8928 tollens.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8929 <p><I>MAgna ine$t vis huic Machin&aelig; ad educendas in altum aquas. Vidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8930 ego hic Rom&aelig; antliam, cuius canalis erant cann&aelig; arundine&aelig; $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8931 mutu&ograve; innex&aelig; ad longitudinem</I> 40. <I>palmorum, &amp; incredibili facilitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8932 aqu&aelig; ex loco inferiori ad domus tectum educebantur. Pote$t porr&ograve; ant-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8933 lia fieri alijs modis, ut dixi, prout de facto varij Artifices vari&egrave; ip$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8934 aptant; $ub$tantia tamen $emper manet eadem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8935 <pb n=207>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8936 <p><I>Solet etiam duplicari, triplicari, aut quadruplicari antlia, ut ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8937 jorem aqu&aelig; copiam $uppeditare po$$it. Mer$ennus ait, hoc Organum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8938 vix</I> 40. <I>hexa pedarum altitudinem $uperare po$$e, $i$olam impul$ionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8939 adhibeamus, licet aqu&aelig; cylindrus, cuius altitudo</I> 40. <I>hexapedarum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8940 &amp; ba$is pollex, non $uperet pondus librarum</I> 7. <I>cum dimidia. Pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8941 etiam hoc in$trumento attolli aqua $ol&acirc; attractione; $ed tunc ex Hydra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8942 gogorum ob$ervationibus, Galil&aelig;o &amp; Ga$$endo te$tibus, aqua non a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8943 dit vltra</I> 18. <I>brachia, $eu</I> 32. <I>pedes circiter. Cur ver&ograve; in arundineis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8944 canalibus aqua mult&ograve; alti&ugrave;s a$$urgat, qu&agrave;m in plumbeis, huius Ph&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8945 nomeni hanc rationem damus, qu&ograve;d internodia arundinum, qu&aelig; angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8946 $tioribus foraminibus con$tant, aquam, n&egrave; nimium premat, quodam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8947 mod&ograve; $u$tineat, ac proinde facil&egrave; &agrave; $ub$equenti inferi&ugrave;s aqua moles leviu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8948 $cula $uperpo$it&aelig; in internodijs aqu&aelig; $uperari po$$it; quod in plumbeis, $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8949 milibusque canalibus non contingit, in quibus moles &agrave; $upremo u$que ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8950 infimum &aelig;qualiter $emper premit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8951 <p><I>Hactenus de$crip$imus antliam hydraulicam $eu aquaticam pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8952 aquis attrahendis; infr&agrave; in Appendice Operis damus etiam antliam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8953 pnevmaticam $eu $piritalem ad extrahendum a&euml;rem. Alia antliarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8954 genera dabimus in Magia Mechanica.</I>
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casties
parents:
diff changeset
8955 <C>MACHINA VII.</C>
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casties
parents:
diff changeset
8956 <C><I>Speculator Cornu inflans.</I></C>
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casties
parents:
diff changeset
8957 <p>FAc $peculam, eamque divide in duas partes, veluti duo va$a,
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diff changeset
8958 <MARG>Vide Ico-
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diff changeset
8959 ni$. VIII.</MARG>
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diff changeset
8960 vndique clau$a, ABCD, &amp; EFGH; atque &agrave; va$is inferioris
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diff changeset
8961 <MARG>Fig. X.</MARG>
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diff changeset
8962 operculo EH, u$que ad alterius fundum BC, deriva $ipho-
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diff changeset
8963 nem HC, in$tructum epi$tomio ver$atili C. Facpr&aelig;terea ali-
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diff changeset
8964 <MARG><I>Speculutur
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diff changeset
8965 exvic<*>.</I></MARG>
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diff changeset
8966 um $iphonem KL, qui incipiat ab operculo va$is inferioris, &amp;
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diff changeset
8967 tran$eat per medium va$is $uperioris, perque corpus Speculato-
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diff changeset
8968 ris, pertingens u$que ad os ip$ius, ibidemque adferruminetur
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diff changeset
8969 cornu, aut tub&aelig; ori $peculatoris applicat&aelig;. Vas $uperius re-
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diff changeset
8970 pleatur aqu&acirc;, &amp; ben&egrave; claudatur; vas ver&ograve; inferius $it vacuum.
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diff changeset
8971 Si jam aperias epi$tomium C, de$cendet aqua va$is $uperioris
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diff changeset
8972 in vas inferius ibique premens a&euml;rem expellet ip$um per $iphon&etilde;
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diff changeset
8973 KL, &amp; cornu, tubamv&egrave; in $onum animabit.
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diff changeset
8974 <pb n=208>
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diff changeset
8975 <C>ANNOTATIO.</C>
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parents:
diff changeset
8976 <p><I>POte$t etiam loco $peculatoris apponi Avicula, prout in $imili machi-
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parents:
diff changeset
8977 nulafecit P. Kircherus in$uo Mu$eo. Vis motiva Machin&aelig; e$t com-
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diff changeset
8978 pre$$io a&euml;ris. Vt porr&ograve; artificium $uccedat in Machina majori, requiri-
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diff changeset
8979 tur major lap$us aqu&aelig; ad ventum excitandum, prout dicetur in
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diff changeset
8980 Machina</I> 7. <I>Capitis $equentis, &amp; infr&agrave; Cla$$e</I> 3. <I>ubi agemus de Ca-
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diff changeset
8981 meris Aeolijs.</I>
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parents:
diff changeset
8982 <C>MACHINA VIII.</C>
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parents:
diff changeset
8983 <C><I>Fonticulus compre$$ione aquam $pargens in altum:
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parents:
diff changeset
8984 Baculus item viatorius Aquivomus, &amp; Catellus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8985 mingens.</I></C>
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parents:
diff changeset
8986 <MARG>Vide Ico-
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parents:
diff changeset
8987 ni$. VIII.</MARG>
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parents:
diff changeset
8988 <p>IN va$e aliquo cupreo, aut $tanneo, alteriusv&egrave; materi&aelig; $olid&aelig;,
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parents:
diff changeset
8989 fiat canalis AB, qui fundum non attingat, (aut $i attingit, ha-
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parents:
diff changeset
8990 <MARG>Fig. XI. a.</MARG>
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parents:
diff changeset
8991 beat ab vtroque latere prope fundum duo foramina, per qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8992 a&euml;r &amp; aqua ingredi atque egredi queant) &amp; per operculum va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8993 <MARG><I>Fons com-
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parents:
diff changeset
8994 pre$$ione
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parents:
diff changeset
8995 $pargens
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parents:
diff changeset
8996 aquam.</I></MARG>
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diff changeset
8997 $is tran$iens de$inat in o$culum A $tricti$$imum, habeatque e-
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diff changeset
8998 pi$tomium E. In eiusdem va$is operculo fiat foramen C, quod
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parents:
diff changeset
8999 interi&ugrave;s habeat platismatium ex corio, aut lamina aliqua, illi
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parents:
diff changeset
9000 $imile, quod intra folles fit. His factis impleatur ope Syring&aelig; DF
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parents:
diff changeset
9001 vas aqu&acirc; prim&ugrave;m u$que ad medietatem circiter per foramen C;
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parents:
diff changeset
9002 deinde vento $eu a&euml;re, e&acirc;dem Syring&acirc; violenter intermi$$o. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9003 jam aperiatur epi$tomium E, ex$iliet vi maxima per canalem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9004 BA aqua. Animatur Machina vi compre$$iv&acirc;; a&euml;r enim com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9005 pre$$us, &amp; aqu&aelig; violenter incumbens, expellit ip$am, qu&ograve;d alior-
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parents:
diff changeset
9006 <*>m non pote$t, per fi$tulam BA.
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parents:
diff changeset
9007 <C>ANNONTATIO I.</C>
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parents:
diff changeset
9008 <C><I>Aliter eundem fonticulum con$truere.</I></C>
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diff changeset
9009 <p><I>EVndem fonticulum aliter $ic artificios&egrave; con$trues. Sph&aelig;ram com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9010 <MARG><*></MARG>
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parents:
diff changeset
9011 pon<*> concavam &aelig;neam, $tanneam, argenteamv&egrave;,</I> CNBK, <I>eam-
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parents:
diff changeset
9012 <*> trajice tubo</I> ABC, <I>cujus o$culum</I> A <I>$it minuti$$imum, o$culum</I>
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parents:
diff changeset
9013 <pb n=209>
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parents:
diff changeset
9014 <FIG>
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parents:
diff changeset
9015 <I>ver&ograve;</I> B <I>parum di$tet &agrave; fundo, aut $i fun-
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parents:
diff changeset
9016 dum attingit, habeat prope</I> B <I>utrimque
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parents:
diff changeset
9017 duo parva foramina. Sit autem tubi pars</I>
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parents:
diff changeset
9018 AE, <I>qu&aelig; de$init in acumen, parti reliqu&aelig;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9019 EB <I>$ic conjuncta (per helicem videlicet
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parents:
diff changeset
9020 f&aelig;mininam &amp; ma$culinam) vt aufferri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9021 po$$it, atque reponi pro libitu. Pars quo-
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parents:
diff changeset
9022 que</I> EB <I>habeat claviculam ver$atilem</I> G,
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parents:
diff changeset
9023 <I>qu&aelig; viam aqu&aelig; &amp; a&euml;ri per tubum mod&ograve; ape-
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parents:
diff changeset
9024 riat, mod&ograve; ob$truat. Con$truct&acirc; hac ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9025 ne $ph&aelig;r&acirc;, $i eam onerare de$ideras aqu&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9026 &amp; a&euml;re, tolle tubulum</I> AE, <I>&amp; aperto tubo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9027 EB <I>per clavicul&aelig; convolutionem, immit-
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parents:
diff changeset
9028 te $yring&aelig;</I> DF <I>ope aquam, donec vltrame-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9029 <MARG>Syring&aelig; fi-
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parents:
diff changeset
9030 guram vi-
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parents:
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9031 de in Ico-
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parents:
diff changeset
9032 ni$mi VIII.</MARG>
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parents:
diff changeset
9033 <I>dietatem impleatur $ph&aelig;ra, v.g. v$que ad</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9034 KN. <I>Quo facto, e&acirc;dem $yringa immitte violenter tantum a&euml;ris,
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parents:
diff changeset
9035 quantum absque ruptionis periculo poteris, vertendo atque claudendo
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parents:
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9036 <MARG>Fig. XI. a.</MARG>
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parents:
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9037 po$t $ingulas immi$$iones claviculam</I> G. <I>Si jam appo$ito rur$um tubu-
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parents:
diff changeset
9038 lo</I> AE, <I>vers&acirc; clavicul&acirc;</I> G, <I>aperueris tubum</I> EB, <I>fiet vt a&euml;r</I> KCN <I>ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9039 hementer compre$$us atque conden$atus $umm&acirc; vi aquam per tubum</I> BA
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parents:
diff changeset
9040 <I>ejaculetur in altum. Pote$t autem aqu&aelig; $altus $i$ti, clavicul&aelig; convolu-
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parents:
diff changeset
9041 tione, quoties libuerit. Pote$t h&aelig;c Machinula adhiberi in convivijs,
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parents:
diff changeset
9042 lavandis manibus, &amp; oculis recreandis conv<*>arum. Extat apud
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parents:
diff changeset
9043 Schvventerum in Delicijs $uis, &amp; pa$$im apud alios. Si manibus la-
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parents:
diff changeset
9044 vandis in$ervire debet; pote$t pars</I> AE <I>ita aptari, vt ad latus inclinari
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9045 ad libitum queat: aut cert&egrave; ad latera ip$ius fieri deberent parva &amp;
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casties
parents:
diff changeset
9046 crebra foramina. Epi$tomium quoque</I> G <I>rit&egrave; muniatur, lino circum-
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diff changeset
9047 po$ito, $i opus fuerit, ne a&euml;ri aut aqu&aelig; exitum per latera pr&aelig;beat. Dum
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diff changeset
9048 Syring&acirc; intruditur aqua intra Machinam, magno impetu, &amp; magna
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diff changeset
9049 celeritate intrudatur; $ic enim forti&ugrave;s comprimitur a&euml;r intra Machi-
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diff changeset
9050 nam, &amp; min&ugrave;s aqu&aelig; re$ilit per Syringam. Proderit etiam, $<*>glans em-
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diff changeset
9051 boli $yring&aelig; contegatur lino &amp; corio vitulino, vt meli&ugrave;s $yring&aelig; inter-
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diff changeset
9052 nam cavitatem impleat, &amp; aquam re$ilire non permittat. Hunc fon-
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diff changeset
9053 ticulum apud me habeo.</I>
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diff changeset
9054 <pb n=210>
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diff changeset
9055 <C>ANNOTATIO II.</C>
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diff changeset
9056 <C><I>Baculum viatorium Aquivomum fabricari.</I></C>
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diff changeset
9057 <p><I>PR&aelig;cedens Machina innumeris Machinis, $eu ludicris, $eu $erijs fabri-</I>
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diff changeset
9058 <MARG>Vide Ico-
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diff changeset
9059 ni$mi IX.</MARG>
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diff changeset
9060 <I>candis viam aperit, vtifus&egrave; deducit Lip$tor pius par.</I> 3. <I>Specim. Philo$.
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diff changeset
9061 <MARG>Fig. XII.</MARG>
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parents:
diff changeset
9062 Cartes: cap.</I> 3. <I>quas inter e$t ea qu&aelig;$equitur. Fiat tubus &aelig;neus</I> A<*>
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diff changeset
9063 <I>longitudine quatuor circiter pedum, cum clavicula $eu epi$tomio</I> C, <I>&amp;
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diff changeset
9064 <MARG>Baculus a-
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diff changeset
9065 quivomus.</MARG>
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diff changeset
9066 operculo</I> DE, <I>habente in capite o$culum $tricti$$imum. Hic tuburim-
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diff changeset
9067 ponatur alteri tubo &aelig;neo</I> FG <I>laxiori, ita vt nec fundum, nec latera
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diff changeset
9068 contingat; aut $i contingit fundum, habeat tubus</I> AB <I>prope</I> B <I>vtrim-
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diff changeset
9069 que duo aut plura foramina, prope</I> F <I>ver&ograve; ita adglutinetur tubo</I> FG,
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diff changeset
9070 <I>vt nec aqu&aelig;, nec a&euml;ri tran$itus inter utrumque pateat. Vterque tu-
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parents:
diff changeset
9071 bus imponatur baculo viatorio</I> HI <I>intus cavo, qui operculo exemptili</I>
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diff changeset
9072 HK <I>claudi atque operiri pro libitu po$$it. His factis, habebis baculum
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diff changeset
9073 viatorium Aquivomum pr&aelig;paratum; quem ita onerabis aqua.
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diff changeset
9074 Exime &egrave; cavo baculo totum tuborum $y$tema, &amp; $ublato operculo</I> DE,
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diff changeset
9075 <I>apertaque clavicula</I> C, <I>immitte per o$culum</I> A <I>magno impetu aquam
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diff changeset
9076 ope $yring&aelig;</I> DF <I>$uperi&ugrave;s de$cript&aelig;, in Iconi$mo</I> VIII. <I>inter Figuras</I> XI.
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diff changeset
9077 <I>&amp; po$t $ingulas immi$$iones claude diligenter claviculam</I> C. <I>Aqua
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parents:
diff changeset
9078 immi$$a comprimet a&euml;rem intra tubum</I> AB <I>contentum, eumque fuga-
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diff changeset
9079 bit per o$culum aut foramina</I> B <I>intra tubum</I> FG, <I>ibidemque $ecuta
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diff changeset
9080 rediget in intollerabi<*>s angu$tias, cum nullum effugiendi locum habeat.
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diff changeset
9081 Oneratis hac ratione tubis, claude diligenti$$im&egrave; epi$tomium</I> C, <I>&amp; re-
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parents:
diff changeset
9082 pone operculum</I> DE <I>$upra o$culum</I> A <I>ita, vt nulla violentia avelli
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parents:
diff changeset
9083 po$$it (quem in finem elaborari debet convexa tubi operculum ingre-
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parents:
diff changeset
9084 dientis pars in helicem ma$culinam, concava ver&ograve; operculi $uperficies in
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parents:
diff changeset
9085 helicem f&oelig;mininam) totamque Machinam ab$conde intra cavum ba-
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diff changeset
9086 culum, impo$ito operculo</I> HK. <I>Si jam Amicis $pectaculum exhihere
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parents:
diff changeset
9087 de$ideras, inter deambulandum refige occult&egrave; operculum</I> HK, <I>&amp; di-
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parents:
diff changeset
9088 recto ver$us vultum alicuius baculo aperi claviculam</I> C; <I>$tatimque
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parents:
diff changeset
9089 $umma vi erumpet aqua ex o$culo operculi</I> DE, <I>quam $i$tere poteris pro
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parents:
diff changeset
9090 libitu, iterumque emittere, apert&acirc; &amp; clau$a clavicula pr&aelig;dicta</I> C, <I>quo-
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parents:
diff changeset
9091 ties &amp; qu&agrave;mdiu volueris; donec tota aqua eruperit, Nota h&icirc;c, opercu-
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parents:
diff changeset
9092 lum</I> HK <I>po$$e e$$e planum, relicto $ol&ugrave;m foramine corre$pondente fo-</I>
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parents:
diff changeset
9093 <pb>
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parents:
diff changeset
9094 <CAP><I>Iconismus. IX. pag: 210.</I></CAP>
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parents:
diff changeset
9095 <FIG>
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parents:
diff changeset
9096 <pb n=211>
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parents:
diff changeset
9097 <I>ramini operculi</I> DE. <I>Poterit pr&aelig;terea &egrave; latere baculi excavati relinqui
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parents:
diff changeset
9098 foramen exiguum, re$pondens clavicul&aelig;</I> C, <I>vt per ip$um immi$$o
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parents:
diff changeset
9099 vncinulo aperiri po$$it &amp; claudi dicta clavicula</I> C.
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parents:
diff changeset
9100 <C>ANNOTATIO III.</C>
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parents:
diff changeset
9101 <p><I>AD eundem modum con$trui jubet Lip$torpius fictitium Ca$eum, ac
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parents:
diff changeset
9102 <MARG>Ca$eus a-
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parents:
diff changeset
9103 quivomus.
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parents:
diff changeset
9104 Catellus
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parents:
diff changeset
9105 mingens.</MARG>
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parents:
diff changeset
9106 Pyrum, aliaque $imilia, vt men$is impo$ita atque occult&egrave; re$erata,
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parents:
diff changeset
9107 convivis jocum faciant. Annulum item, qui digito impo$itus, &amp; ab
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parents:
diff changeset
9108 Amicis in$pectus, $pargat in eorum faciem odoriferam. Atque hac
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parents:
diff changeset
9109 ratione con$tructum fui$$e credo catellum quem alicubi vidi, qui &egrave; vere-
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parents:
diff changeset
9110 tillo aquam odoriferam $pargebat in faciem contra $e $tantium. Pote$t
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parents:
diff changeset
9111 denique hac arte con$trui vas pro lavandis convivarum manibus.</I>
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diff changeset
9112 <C>MACHINA IX.</C>
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9113 <C><I>Phiala vitrea, compre$$ione aquam pro-
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diff changeset
9114 jiciens in altum.</I></C>
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9115 <FIG>
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diff changeset
9116 <p>SImilem effectum videbis, $i phialam
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parents:
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9117 <MARG>Vide Fig.
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9118 XI. C. Ico-
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9119 ni$mi VIII.</MARG>
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9120 vitream con$truas, qualem figura mon-
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parents:
diff changeset
9121 $trat, intra quam $it fi$tula itidem vitrea
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9122 qu&aelig; fundum non contingat, &amp; pertin-
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9123 gat v$que ad os phial&aelig;, quod $tricti$$i-
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9124 <MARG><I>Phiala a-
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parents:
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9125 qu&atilde; in alt&utilde;
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9126 proijciens.</I></MARG>
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9127 mo collo $it in$tructum. Si enim collum
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9128 ori inferas, &amp; $piritu immi$$o a&euml;rem in-
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9129 tra phialam comprimas; exiliet vi maxi-
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9130 ma aqua in phiala contenta. Habet huju$-
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9131 modi phialas P. Kircherus in Mu$eo $uo.
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9132 <C>ANNOTATIO.</C>
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9133 <p><I>IM&ograve; etiam $i nullus fiat tubulus intra phialam, idem effectus habebitur,
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parents:
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9134 licet non ad longum tempus. Et hac arte Barbiton$ores $pargunt a-
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diff changeset
9135 quas odoriferas in aliquibus locis. Vis motiva ex $e patet.</I>
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casties
parents:
diff changeset
9136 <C>MACHINA X.</C>
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casties
parents:
diff changeset
9137 <C><I>Jnfundibulum pnevmatico &mdash; hydraulicum, aquam
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parents:
diff changeset
9138 in determinatam altitudinem attollens.</I></C>
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parents:
diff changeset
9139 <p>DIximus capite pr&aelig;cedente Machina 7. qua ratione in quam-
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parents:
diff changeset
9140 vis altitudinem attolli po$$it aqua vi Attractiv&acirc;. Compre$-
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parents:
diff changeset
9141 <pb n=212>
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casties
parents:
diff changeset
9142 $ione $imile quippiam effici pote$t $equenti artificio; quod
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parents:
diff changeset
9143 etiam indicat Mer$ennus in Hydraulicis Propo$it. 39. vbi tamen
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parents:
diff changeset
9144 figura e$t mendo$a, &amp; $i juxta ip$am fieret Machina, impo$$ibi-
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parents:
diff changeset
9145 le e$t, vt effectus $equeretur.
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casties
parents:
diff changeset
9146 <p>Sit infundibulum ($eu concha) C, per quod ex fluvio,
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parents:
diff changeset
9147 aut fonte aqua fluat in adjunctum vas DG, &amp; per fi$tulam LI
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parents:
diff changeset
9148 in $ubjectum receptorium AF: ex quo va$e AF expul$us a&euml;r
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parents:
diff changeset
9149 per tubulum FD, in vas DG, coget aquam va$is DG in vas
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parents:
diff changeset
9150 H, per tubulum GH a$cendere, inde per epi$tomium K de-
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parents:
diff changeset
9151 promendam. Hac ratione aqua ex fluvio, aut fonte, aut va-
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parents:
diff changeset
9152 $e, alti&ugrave;s a$cendere pote$t, qu&agrave;m $it a$cendentis aqu&aelig; origo;
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parents:
diff changeset
9153 quandoquidem impleri nequit aqu&acirc; vas AF, ni$i inde expel-
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parents:
diff changeset
9154 <MARG>Vide Ico-
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parents:
diff changeset
9155 ni$mi IX.</MARG>
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parents:
diff changeset
9156 latur a&euml;r per tubum FD, c&ugrave;m aliunde expelli non po$$it;
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parents:
diff changeset
9157 <MARG>Fig. XIII.</MARG>
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parents:
diff changeset
9158 cum&qacute;ue major $it aer qu&agrave;m vt canaliculo FD contineatur,
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parents:
diff changeset
9159 expellit nece$$ari&ograve; aquam DG in H. Si jam evacuetur vas
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parents:
diff changeset
9160 AF per epi$tomium B, &amp; vas H per epi$tomium K; in$titui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9161 <MARG><I>Infundibu-
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parents:
diff changeset
9162 lum pnev-
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casties
parents:
diff changeset
9163 matico- hy-
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casties
parents:
diff changeset
9164 draulicum.</I></MARG>
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parents:
diff changeset
9165 poterit eadem operatio toties, quoties libuerit. Cavendum
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parents:
diff changeset
9166 tamen, n&egrave; vas H $it alti&ugrave;s $upra vas DG, qu&agrave;m vas AF infra
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parents:
diff changeset
9167 idem vas DG. Cavendum pr&aelig;terea n&egrave; idem vas DG $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9168 nimis elevatum $upra vas AF, tunc enim tanta e$$et longitu-
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parents:
diff changeset
9169 do tubi FD, ut aer va$is AF non $ufficeret ad aquam elevan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9170 dam ex DG in H: nam aqu&aacute; in vas AF defcendente, a&euml;r ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9171 eodem pul$us conden$aretur intra tubum illum FD tam lon-
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casties
parents:
diff changeset
9172 gum, &amp; vim elevandi aquam va$is DG perderet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9173 <C>ANNOTATIO.</C>
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parents:
diff changeset
9174 <p><I>SI intra vas</I> AF <I>fieret $iphon inver$us, cujus crus longius promi-
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casties
parents:
diff changeset
9175 neret extra fundum, crus ver&ograve; minus fundum intus non contin-
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parents:
diff changeset
9176 geret; aut $i fieret diabetes $piritalis, cujus interior tubus $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9177 promineret extra fundum; &amp; ex dicto $iphone, aut diabete efflueret
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parents:
diff changeset
9178 long&egrave; pl&ugrave;s aqu&aelig; ex dicto va$e, qu&agrave;m influeret per infundibulum</I> CI;
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casties
parents:
diff changeset
9179 <I>po$$et aqu&aelig; $altus intra vas</I> H <I>perennari. Si vas</I> H <I>abe$$et, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9180 o$culum</I> H <I>coarctaretur, aut in alias formas effingeretur; haberetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9181 fons perpetu&ograve; duraturus. Vide qu&aelig; diximus Protheoria</I> 4. <I>cap.</I> 2.
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casties
parents:
diff changeset
9182 <pb>
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casties
parents:
diff changeset
9183 <CAP><I>Iconismus X. pag: 213.</I></CAP>
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casties
parents:
diff changeset
9184 <FIG>
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casties
parents:
diff changeset
9185 <pb n=213>
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casties
parents:
diff changeset
9186 <I>Propo$it.</I> 9. <I>&amp; $upr&agrave; Machina</I> 4. <I>capitis</I> 1. <I>Interrumperetur tamen
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parents:
diff changeset
9187 aqu&aelig; $altus in vtroque ca$u eo tempore, quo vas</I> AF <I>evacuaretur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9188 diabetem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9189 <C>MACHINA XI.</C>
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casties
parents:
diff changeset
9190 <C><I>Jnfundibulum alterum pnevmatico &mdash; hydraulicum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9191 aquam in quamlibet altitudinem extollens.</I></C>
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casties
parents:
diff changeset
9192 <p>PR&aelig;cedenti artificio aqua ex fonte C non ni$i in determi-
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parents:
diff changeset
9193 natam altitudinem elevari pote$t. C&aelig;ter&ugrave;m in quantam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9194 <MARG>Vide Ico-
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casties
parents:
diff changeset
9195 ni$mi X.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9196 cunque altitudinem elevari po$$e videtur $equenti arte. E$to
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casties
parents:
diff changeset
9197 vt ant&egrave; aqua &amp; infundibulum X, eju$que aqua elevanda v$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9198 <MARG>Fig. XIV.</MARG>
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casties
parents:
diff changeset
9199 que ad vas O. Di$ponantur infra X va$a vacua quotlibet,
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parents:
diff changeset
9200 A, B, C; &amp; alia in eodem plano Horizontali D, E, F, in qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9201 <MARG><I>Infundibu-
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casties
parents:
diff changeset
9202 lum aliud
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casties
parents:
diff changeset
9203 hydraulic<*>-
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casties
parents:
diff changeset
9204 pnevmati-
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casties
parents:
diff changeset
9205 cum.</I></MARG>
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casties
parents:
diff changeset
9206 ex fonte X, per epi$tomium P derivari po$$it aqua: item ali-
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casties
parents:
diff changeset
9207 ud vas H, tantum di$tans $upra vas D, quantum di$tat vas
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parents:
diff changeset
9208 A infra idem vas D; pr&aelig;terea aliud M, di$tans $upra vas E
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parents:
diff changeset
9209 tantum, quantum di$tat vas B infra vas H: tandem aliud
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casties
parents:
diff changeset
9210 vas O, di$tans tantum $upra F, quantum di$tat e infra M:
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casties
parents:
diff changeset
9211 &amp; $ic deinceps $i vlteri&ugrave;s &amp; alti&ugrave;s procedere lubet. H&aelig;c va-
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parents:
diff changeset
9212 $a connecte inter $e tubis &aelig;qualis capacitatis eo modo, quo
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diff changeset
9213 figura docet, &amp; imple va$a D, E, F. Quibus peractis, $i ex
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parents:
diff changeset
9214 fonte X cadat aqua in vas A vacuum per tubum XY, expel-
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parents:
diff changeset
9215 let a&euml;rem per tubum AD, in vas D; qui a&euml;r ibidem premet
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parents:
diff changeset
9216 aquam, eamque expellet per tubum GH, in vas H: inde ve-
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parents:
diff changeset
9217 r&ograve; cadet aqua per tubum QR intra vas B, expelletque a&euml;-
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parents:
diff changeset
9218 rem per tubum RE intra vas E, &amp; premens aquam expellet
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casties
parents:
diff changeset
9219 ip$am per tubum IK intra vas M: inde iterum cadet per tu-
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parents:
diff changeset
9220 bum ML intra vas C, &amp; expellet a&euml;rem per tubum CF in
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casties
parents:
diff changeset
9221 vas F, indeque aquam per tubum NO in vas O; ex quo tan-
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casties
parents:
diff changeset
9222 dem deprometur in v$um concupitum.
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casties
parents:
diff changeset
9223 <C>ANNOTATIO.</C>
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casties
parents:
diff changeset
9224 <p><I>PRocurandum diligenter &amp; nece$$ari&ograve; h&icirc;c e$t, vt tubus</I> XY <I>$it pau-
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diff changeset
9225 l&ograve; longior qu&agrave;m</I> GH; <I>&amp; tubus</I> QR <I>paul&ograve; longior qu&agrave;m</I> IK; <I>&amp;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9226 <pb n=214>
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parents:
diff changeset
9227 <I>tubus</I> ML <I>paul&ograve; longior qu&agrave;m</I> NO, <I>vt $ervetur requi$ita proportio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9228 perpendiculorum, juxta dicta Protheor. I.</I> &sect;. <I>VI. &amp; $eqq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9229 <C>MACHINA VII.</C>
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casties
parents:
diff changeset
9230 <C><I>Fons e&acirc;dem fi$tul&acirc; di$colores ejiciens
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parents:
diff changeset
9231 liquores.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9232 <p>SEquens Machina, vt omnium qu&aelig; in Mu$eo no$tro exhi-
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parents:
diff changeset
9233 bentur, pulcherrima jucundi$$imaque, ita explicatu diffi-
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diff changeset
9234 cillima e$t, ob variam va$orum, receptaculorum, canalium,
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parents:
diff changeset
9235 foraminum, epi$tomiorum, obturamentorum $uppellectilem,
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parents:
diff changeset
9236 <MARG><I>Fons diver$i
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parents:
diff changeset
9237 coloris.</I></MARG>
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parents:
diff changeset
9238 intricatamque non min&ugrave;s, qu&agrave;m ingenio$am con$tructionem.
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parents:
diff changeset
9239 Conabor tamen qu&acirc; potero claritate Lectoris animo atque
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parents:
diff changeset
9240 oculis illam proponere; quam is percipiet facili&ugrave;s, qui Hero-
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parents:
diff changeset
9241 nis, &amp; antecedentium fontium artificium meli&ugrave;s intellexerit.
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parents:
diff changeset
9242 <MARG>Vide Ico-
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parents:
diff changeset
9243 ni$mi X.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9244 <p>Duo $unt va$a ampliora, MM $uperius, &amp; NN inferius,
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parents:
diff changeset
9245 quinis columellis inter$tincta. Inferius e$t vndique clau$um,
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parents:
diff changeset
9246 <MARG>Fig. XV.</MARG>
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parents:
diff changeset
9247 $uperius in capite apertum. Ex hujus fundo a$$urgit cylindrus
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parents:
diff changeset
9248 <MARG><I>Nota Le-
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parents:
diff changeset
9249 ctor, cylin
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parents:
diff changeset
9250 drum e$$e
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parents:
diff changeset
9251 intra vas
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parents:
diff changeset
9252 M&verbar;M.</I></MARG>
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parents:
diff changeset
9253 concavus LD, cui impo$itum e$t aliud vas min&ugrave;s amplum va-
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parents:
diff changeset
9254 $e MM, in quatuor di$criminatum receptacula, diligenti$$im&egrave;
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parents:
diff changeset
9255 vndique clau$a, ne a&euml;r elabi v$piam po$$it; quorum tamen tria
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parents:
diff changeset
9256 tant&ugrave;m in appo$ita figura $unt integr&egrave; expre$$a, $cenographi-
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parents:
diff changeset
9257 c&acirc; arte id exigente. Quodlibet horum receptaculorum ha-
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parents:
diff changeset
9258 bet in capite $uum foramen, &amp; obturamentum A; intus ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9259 r&ograve; binos $iphunculos certa ratione di$po$itos, vt mox dicetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9260 Inter receptaculorum quatuor latera, quibus inter $e$e coa-
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parents:
diff changeset
9261 gmentantur, inditum e$t epi$tomium KR intus concavum,
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parents:
diff changeset
9262 excepto fundo R, quod obturatum e$t, eju$que loco aper-
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parents:
diff changeset
9263 tum e$t in latere foramen rotundum O, (quod tamen in Figura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9264 non e$t expre$$um chalcographi errore) ad aquam recipien-
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parents:
diff changeset
9265 dam perque epi$tomium, &amp; per infixum ip$i $iphunculum vi-
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parents:
diff changeset
9266 treum KP in helicem figuratum tran$mittendam. Epi$tomium
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parents:
diff changeset
9267 KR vertitur intra thecam $eu tubulum, inter quatuor recepta-
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parents:
diff changeset
9268 culorum contigua latera in$e<*>tum, veluti intra matricem. Per
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parents:
diff changeset
9269 columellam GF deducitur &egrave; $uperiori va$e ad inferius $iphon,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9270 <pb n=215>
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parents:
diff changeset
9271 qui $uperioris fundum &amp; inferioris operculum penetrat, $ed &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9272 neutro longi&ugrave;s di$cedit. Epi$tomium H aqu&aelig; tran$itum &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9273 $uperiori in inferius vas tribuit, vetatque. Per mediam colu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9274 mellam QC deducitur alius $iphon CQI, habens claviculam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9275 Q; qui $iphon intra vas NN, paulo&qacute;ue infra operculum C in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9276 cipit, tran$itque per fundum $uperioris, perque cylindrum LD;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9277 indeque $upremi quadripartiti va$is fundum penetrans, di-
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parents:
diff changeset
9278 uaricatur in quatuor $iphunculos, veluti totidem ramos, IE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9279 quorum $inguli v$que ad $ingulorum quatuor receptaculorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9280 opercula pertingunt, nec ea tamen attingunt, $ed tantum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9281 $tant, quantum a&euml;ri efflando $atis e$t. Alij quatuor $iphuncu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9282 li BO derivantur &egrave; fundo quatuor receptaculorum (quod ta-
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parents:
diff changeset
9283 men non contingunt) v$que ad epi$tomij KR thecam $eu ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9284 tricem, quam &amp; penetrant, ita vt foramen O epi$tomij, (dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9285 vertitur intra $uam thecam) po$$it obverti $ingulorum $iphun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9286 culorum orificio. Clavicula Q aperta concedit tran$itum
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casties
parents:
diff changeset
9287 a&euml;ri &egrave; va$e NN, intra quatuor $uperiora va$cula, vt dicetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9288 Clavicula X aperta emittit aquam &egrave; va$e NN, pleno.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9289 <p>Atque h&aelig;c e$t fabrica Machin&aelig;; nunc ad v$um ip$ius tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9290 eamus. Vas NN manet vacuum, clauditur&qacute;ue epi$tomium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9291 X, &amp; clavicula Q. Vas MM repletur aqu&acirc; communi, clau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9292 s&acirc; pri&ugrave;s clavicul&acirc; H. Quatuor $upremi va$is receptacula re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9293 plentur per foramina A quatuor diver$is liquoribus, puta aqu&acirc;,
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parents:
diff changeset
9294 vino albo, vino rubro, alioque quocunque &amp; cuju$cunque co-
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parents:
diff changeset
9295 loris liquore; diligenterque obturantur, n&egrave; a&euml;r penetrare po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9296 $it. Deinde laxatur clavicula H, &amp; de$cendens aqua in vas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9297 $ubjectum NN, premit ibidem a&euml;rem; qui apert&acirc; clavicul&acirc; Q
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9298 penetrat per $iphonem QI, &amp; $iphunculos IE, in recepta-
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parents:
diff changeset
9299 cula $upremi va$is. Si itaque de$ideres, vt heliceus tubulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9300 P ejiciat aquam, verte foramen laterale O epi$tomij KR,
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parents:
diff changeset
9301 ver$us receptaculum aqu&aelig;; $i vinum ejicere de$ideras, verte
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casties
parents:
diff changeset
9302 idem foramen ad receptaculum vini; $i alium liquorem, ver-
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casties
parents:
diff changeset
9303 te ad al&icirc;us liquoris receptaculum.
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casties
parents:
diff changeset
9304 <p>Quia ver&ograve;, dum epi$tomium KR ab vno receptaculo ad
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parents:
diff changeset
9305 <pb n=216>
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casties
parents:
diff changeset
9306 alterum divertitur, remanet in helice P liquor pr&aelig;cedens;
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casties
parents:
diff changeset
9307 vt is de$cendat antequam vertatur, &amp; non mi$ceatur cum $ub-
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casties
parents:
diff changeset
9308 $equenti, in$eri pote$t operculo unius receptaculi aliud epi$to-
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casties
parents:
diff changeset
9309 mium. Si enim aperietur illud, $tatim receptaculorum a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9310 egredietur, &amp; helicis liquor in receptaculum $uum de$cendet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9311 vtpote non ampli&ugrave;s ab a&euml;re impul$us.
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casties
parents:
diff changeset
9312 <p>Aqua qu&aelig; &egrave; $uperiori va$e MM de$cendit intra vas NN,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9313 depletur per epi$tomium X, &amp; e$t aqua communis, vt diximus.
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casties
parents:
diff changeset
9314 <C>MACHINA XIII.</C>
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casties
parents:
diff changeset
9315 <C><I>Sclopetum &AElig;olium $eu Pnevmaticum.</I></C>
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casties
parents:
diff changeset
9316 <p>INventa e$t non ita pridem ratio, inquit Kircherus no$ter,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9317 lib. 3. Artis Magnet. part. 2. cap. 3. Experim. 3. e&acirc; violenti&acirc; com-
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casties
parents:
diff changeset
9318 primendi intra canalem a&euml;ris, vt in multis majorem effectum
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casties
parents:
diff changeset
9319 pr&aelig;$tet, qu&agrave;m vel ip$i $clopi, quas Mu$quetas vulg&ograve; vocant.
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casties
parents:
diff changeset
9320 Qu&aelig; res c&ugrave;m $ingularem $u$citet in intuentibus admiratio-
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casties
parents:
diff changeset
9321 <MARG><I>Sclopetum
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casties
parents:
diff changeset
9322 &AElig;olium.</I></MARG>
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casties
parents:
diff changeset
9323 nem, nolui ejus hoc loco con$tructionem pr&aelig;terire. Ita au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9324 tem canalis pr&aelig;dictus, quem &AElig;olium $clopum $eu $clopetum
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casties
parents:
diff changeset
9325 appellare lubet, conficitur.
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casties
parents:
diff changeset
9326 <p>Fiat ex cupro, ferro, aliav&egrave; materia $olida canalis, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9327 <MARG>Vide Ico-
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casties
parents:
diff changeset
9328 ni$mi X.</MARG>
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casties
parents:
diff changeset
9329 tres partes $eu loculamenta divi$us, nempe LA, AV; VD:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9330 <MARG>Fig. XVI.</MARG>
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parents:
diff changeset
9331 quorum primum LA $ervit onerando $clopo a&euml;re; alterum
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casties
parents:
diff changeset
9332 AV con$tituit cameram $eu receptaculum compre$$i a&euml;ris;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9333 tertium VD fi$tulam ad globos, aliaque projectilia excutien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9334 da. Tru$illum, $ive vt Arti$t&aelig; vocant, piulcus LKI, quo a&euml;r
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9335 intra cameram AV coarctatur, ita con$truetur. Manubrio
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casties
parents:
diff changeset
9336 $ive ferreo $tylo LK circumdetur cylindracea glans KI exfer-
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parents:
diff changeset
9337 ro aut ligno, corio tecta; qu&aelig; canali LA ita quadret, ut ei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9338 intru$a, omnem a&euml;ris elabendi aditum intercludat. Habeat
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casties
parents:
diff changeset
9339 autem hoc tru$illum in fundo I, plati$mation $ive a$$arium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9340 extror$um ver$us A aperibile, cujus meatus ex I, tran$eat in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9341 K: hoc enim facto continget, vt dum tru$illi glans KI in ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9342 ctum canalem LA violenter intruditur, a$$arium I clauda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9343 <pb n=217>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9344 tur, a&euml;re ex A in I re$iliente; dum ver&ograve; extrahitur, idem a$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9345 $arium I aperiatur, &amp; per meatum KI novum a&euml;rem extrin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9346 $ec&ugrave;s advenientem admittat, n&egrave; intra $patium NI, vacuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9347 concedatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9348 <p>Porr&ograve; $ecundum receptaculum $ive camera a&euml;ris AV, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9349 fundo N aliud habeat a$$arium: quod ita ei aptetur, vt dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9350 tru$illum LKI canali $uo LA violenter intruditur, illud ape-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9351 riatur; dum ver&ograve; extrahitur, arctato intra cameram AV a&euml;re,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9352 denu&ograve; claudatur. Iterum in Camera AV in$eratur aliud a$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9353 $arium FOV, e&acirc; form&acirc;, quam tibi figura TXV demon$trat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9354 In$eratur autem pr&aelig;dict&aelig; Camer&aelig; a&euml;ris AV, in loco FOV, e&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9355 ratione, vt mox ac F tru$illum (cui in figura VXT corre$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9356 det tru$illum VX) forin$ecus premitur ver$us interiorem par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9357 tem, a$$arij partem O $eu T aperiat, &amp; viam inclu$o intra Ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9358 meram AV a&euml;ri patefaciat per canalem VD. Ita igitur in$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9359 rendum e$t pr&aelig;dictum a$$arium FOV, vt a&euml;r inclu$us, arctatu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9360 que intra AV Cameram, elabi per canalem VD non po$$it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9361 ni$i aperto a$$ario pr&aelig;dicto. His ita con$tructis, habebis in$tru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9362 mentum &AElig;olium pr&aelig;paratum; quo ita vt&ecirc;ris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9363 <p>Pila plumbea, immi$$a per canalem DV, contus&acirc; chart&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9364 coarctetur. Deinde piulci $ive tru$illi KLI oper&acirc; a&euml;rem intra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9365 cameram AV coges, e&acirc; fer&egrave; ratione, qu&acirc; intra lu$orias pilas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9366 aut intra Machinam&verbar; VIII. $upr&agrave; de$criptam hoc cap. &amp; intra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9367 Machinam II. infr&agrave; cap. 4. de$cribendam, a&euml;r con$tipari $olet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9368 Quo facto, $i F tru$illum forin$ecus premas, ecce a$$arium O
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9369 apertum con$tipato a&euml;ri locum pr&aelig;bebit, qui &amp; canali VD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9370 illap$us pilam tant&acirc; vi expellet, quant&acirc; vix $clopus ordinarius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9371 po$$it, prout multis con$tat experimentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9372 <C>MACHINA XIV.</C>
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casties
parents:
diff changeset
9373 <C><I>Aliud $clopetum Pnevmaticum.</I></C>
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casties
parents:
diff changeset
9374 <p>ALiud pnevmaticum tubi genus affert docti$$imus Marinus
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casties
parents:
diff changeset
9375 <MARG><I>Sclopetum
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casties
parents:
diff changeset
9376 &AElig;olium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9377 aliud.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9378 Mer$ennus in $uis Ph&aelig;nomenis pnevmaticis Propo$it. 32.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9379 quod brevioribus verbis atque ordinati&ugrave;s ita de$cribi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9380 <pb n=218>
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casties
parents:
diff changeset
9381 <p>Fiant du&aelig; fi$tul&aelig; &aelig;ne&aelig; CD, EF. Orificium C, fi$tul&aelig; CD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9382 <MARG>Vide Ico-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9383 ni$mi XI.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9384 $it intus elaboratum in cochleam f&oelig;mininam, ad recipiendam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9385 <MARG>Fig. XVII</MARG>
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casties
parents:
diff changeset
9386 $yringis, de qua mox, cochleam aliam ma$culinam. Orificium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9387 D habeat plati$matium extror$um ver$us E aperibile. Aliud
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casties
parents:
diff changeset
9388 plati$matium habeat orificium E, fi$tul&aelig; EF, quod itidem ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9389 tror$um ver$us D aperiri po$$it. Fiat deinde $imiliter ex &aelig;re
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9390 tubus AB, intra quem fi$tul&aelig; pr&aelig;dict&aelig; ita compaginentur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9391 tamque arct&egrave; apud A &amp; B ferruminentur, ut integra machi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9392 nula ex tubo &amp; fi$tulis compacta vnicum corpus continuum e$-
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casties
parents:
diff changeset
9393 $e videatur. Fiat pr&aelig;terea theca IG, $eu lignea, $eu coria-
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casties
parents:
diff changeset
9394 cea, cui imponatur Machina e&acirc; ratione, qu&acirc; figura mon$trat;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9395 &amp; apud H fiat elatorium (vt Mer$ennus appellat) quo videli-
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casties
parents:
diff changeset
9396 cet per pre$$ionem $tyli HE aperiatur plati$matium E. Tan-
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casties
parents:
diff changeset
9397 dem fiat $yringe KO, ad Machinam vento $eu a&euml;re oneran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9398 dam, tali arte. Tubulus LK fiat ex &aelig;re, lamin&acirc; plan&acirc; &aelig;re&acirc;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9399 in cylindrum concavum contort&acirc;, &amp; glutine argenteo com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9400 paginat&acirc;, vel poti&ugrave;s cylindro &aelig;neo $olido terebr&acirc; excavato.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9401 Orificium K oblongum habeat helices convexas, qu&aelig; con-
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diff changeset
9402 cavis helicibus interioribus orificij C, fi$tul&aelig; CD, congru-
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diff changeset
9403 ant, &amp; ma$culinam cochleam repr&aelig;$entent. Huic tubulo in-
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9404 $eratur embolus OM, cujus manubrium ferreum in$ertas ha-
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9405 beat duas glandes, M &amp; N, ex corio &amp; linteis $uperpo$itis com-
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9406 po$itas, vt inter illas oleo vel aqua pri&ugrave;s madefactas a&euml;r exte-
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diff changeset
9407 rior per o$culum L ingre$$us, vehementi&ugrave;s per K expellatur.
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9408 <p>Machin&aelig; $ic con$truct&aelig; hic e$t v$us. Fi$tul&aelig; EF immit-
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9409 titur globulus plumbeus B, aut $agitta FB; deinde $yringis
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diff changeset
9410 o$culum K in$eritur cochleatim orificio C, fi$tul&aelig; CD; &amp; re-
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diff changeset
9411 petitis vicibus concitato embolo OM, intruditur violenter
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diff changeset
9412 a&euml;r per fi$tulam CD, intra tubum AB; qui tunc ben&egrave; infla-
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diff changeset
9413 tus erit, quando embolus OM concitari ampli&ugrave;s, ni$i &aelig;gr&egrave;
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diff changeset
9414 admodum, nequiverit. Inflato tubo, AB digito premitur
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diff changeset
9415 elaterium HE; &amp; aperto plati$matio E, ingreditur maximo
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diff changeset
9416 impetu a&ecirc;r intra fi$tulam EF, $umm&acirc;que violenti&acirc; explodit
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diff changeset
9417 globulum B, aut $agittam BF, non $ine fragore aliquo. Mer-
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9418 <pb>
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diff changeset
9419 <CAP><I>Iconismus. XI. pag: 219.</I></CAP>
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diff changeset
9420 <FIG>
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parents:
diff changeset
9421 <pb n=219>
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diff changeset
9422 $ennus ait, $e $&aelig;pius tantam hujus $clopi violentiam expertum,
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diff changeset
9423 vt &agrave; 20 hexapedis plumbeus globus explo$us, &amp; lapidem of-
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parents:
diff changeset
9424 fendens, in laminam $atis tenuem conver$us $it.
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diff changeset
9425 <C>ANNOTATIO I.</C>
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parents:
diff changeset
9426 <p><I>NOtandum h&icirc;c, qu&ograve; veloci&ugrave;s agitatur $yringis manubrium</I> O, <I>e&ograve;
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parents:
diff changeset
9427 perfecti&ugrave;s a&euml;rem &agrave; glandibus</I> M <I>&amp;</I> N <I>intercipi, &amp; introtrudi,
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parents:
diff changeset
9428 null&acirc; relict&acirc; elabendi mor&acirc;; qu&ograve; ver&ograve; tardi&ugrave;s impellitur, e&ograve; facili&ugrave;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9429 a&euml;rem effugere, redeundo ver$us orificium</I> L <I>vnde venerat.</I>
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parents:
diff changeset
9430 <C>ANNOTATIO II.</C>
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parents:
diff changeset
9431 <p><I>PRetium etiam oper&aelig; foret, vt tubus</I> AB <I>divideretur in duas par-
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parents:
diff changeset
9432 tes apud</I> QR <I>lineam, e&aelig;que multis helicibus coagmentarentur in-
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parents:
diff changeset
9433 ter $e, vt nulla particula inclu$i &amp; conden$ati a&euml;ris exire po$$et: $ic
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parents:
diff changeset
9434 enim a$$aria</I> D <I>&amp;</I> E, <I>$i fort&egrave; detrimentum aliquod pa$$a e$$ent, repa-
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parents:
diff changeset
9435 rari facil&egrave; po$$ent. Aliud $clopeti pnevmatici genus vide apud Mer-
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parents:
diff changeset
9436 $ennum loc. cit Propo$it.</I> 33. <I>Aliud pr&aelig;terea nuper vidi Norimberg&aelig;
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parents:
diff changeset
9437 apud in$ignem quendam artificem, pror$us in modum aliorum $clope-
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parents:
diff changeset
9438 torum ordinariorum efformatum, artificio tamen &agrave; pr&aelig;dictis diver$o,
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diff changeset
9439 nec mult&ugrave;m ab$imile illi, quod in Baculo Viatorio Aquivomo dedi $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9440 pr&agrave; Machina</I> 8. <I>Annot.</I> 2. <I>Aliud de$cribit Lip$torpius part.</I> 3. <I>Specim.
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parents:
diff changeset
9441 Philo$. Carte$. cap.</I> 3. <I>prope finem: &amp; alia duo Ioannes Caramuel in
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parents:
diff changeset
9442 Mathe$i audaci part.</I> 2. <I>pag.</I> 81.
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diff changeset
9443 <C>MACHINA XV.</C>
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parents:
diff changeset
9444 <C><I>Sedes Aquivoma.</I></C>
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diff changeset
9445 <p>DEambulabamus nuper P. Kircherus &amp; ego per campos Ro-
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parents:
diff changeset
9446 manos ad captandam auram, incidebamu$que in villam
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parents:
diff changeset
9447 $uburbanam, cujus fronti $ciathericum horolabium eleganter
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parents:
diff changeset
9448 elaboratum erat adpictum. Quod dum in$picimus curio$i&ugrave;s,
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parents:
diff changeset
9449 invitamur &agrave; Nobili Gallo ad &aelig;des &amp; hortum peniti&ugrave;s intro-
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parents:
diff changeset
9450 $piciendum. Ingredimur, ac prim&ograve; offendimus viridarium
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parents:
diff changeset
9451 am&oelig;ni$$imum, floribus ac fructibus refertum, $tatui$que omnis
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parents:
diff changeset
9452 generis exornatum. Subimus deinde &aelig;des eleganti$$imas, pi-
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parents:
diff changeset
9453 <pb n=220>
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parents:
diff changeset
9454 cturis, emblematis, epigrammatis, atque epigraphis latin&egrave;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9455 gr&aelig;c&egrave;, arabic&egrave; exaratis ornatas, $tatuis in$uper plurimis, machi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9456 ni$que artificio$is prob&egrave; in$tructas, e&acirc; eleganti&acirc;, vt vel ip$e Pon-
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parents:
diff changeset
9457 tifex Maximus Innocentius X. c&ugrave;m per eo$dem campos ani-
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parents:
diff changeset
9458 mi grati&acirc; deportaretur, &aelig;des ac hortum pr&aelig;dictum $ubire,
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parents:
diff changeset
9459 <MARG><I>Sedes Aqui-
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parents:
diff changeset
9460 voma.</I></MARG>
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parents:
diff changeset
9461 $uaque pr&aelig;$entia cohone$tare non recu$averit. Villa e$t D. Jo-
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parents:
diff changeset
9462 annis Laborne Galli Presbyteri, &amp; dicti Pontificis Cruciferi.
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parents:
diff changeset
9463 Inter c&oelig;tera autem, quibus ego delectabar maxim&egrave;, erat $e-
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parents:
diff changeset
9464 des, quam ab effectu hydaticam $eu aquivomam appellare lu-
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parents:
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9465 bet.
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parents:
diff changeset
9466 <MARG>Vide Ico-
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parents:
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9467 ni$ini. XI.</MARG>
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9468 <p>Sedes erat lignea ABC, ejus form&aelig;, quam $chema ap-
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9469 po$itum repr&aelig;$entat, quaque pa$$im in Italia utuntur, di$po-
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parents:
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9470 <MARG>Fig. XVIII.</MARG>
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parents:
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9471 $ita inter alias eju$dem form&aelig; in aula lu$ui de$tinata, nec quid-
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parents:
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9472 quam ab alijs diver$um mon$trabat; cui tamen $i quis in$idebat,
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parents:
diff changeset
9473 ejaculabatur illa copio$i$$imam ex reclinatorij AB $ummitate
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parents:
diff changeset
9474 vbi A, aquam, qu&aelig; $edentis caput $upervolans innoxi&egrave;, ante
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parents:
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9475 pedes effundebatur eju$dem $edentis, ignari originis, &amp; fru$tra
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parents:
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9476 diu inquirentis inter ad$tantium cachinnos. Occultatus erat
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parents:
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9477 intra reclinatorium tubulus cupreus AB, apud A nonnihil
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9478 incurvatus ac prominens, $ed leonino atque exemptili capite
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parents:
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9479 tectus; apud B ver&ograve; de$inebat intra folles $ub $edili DE ab-
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parents:
diff changeset
9480 $conditos intra cavitatem CB. Sedile fibulis DD annexum
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parents:
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9481 erat reclinatorio. Sublato leonino capite infundebatur per
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parents:
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9482 o$culum A aqua, &amp; replebantur folles CB, ip$u$que tubulus
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parents:
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9483 BA, &amp; reponebatur caput. In$idebat invitatus oblat&aelig; $edi,
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9484 &amp; deprimebat pondere $uo $edile DE, comprimebatque fol-
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parents:
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9485 les, &amp; per BA tubulum ejaculabatur aquam, vt diximus.
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9486 <C>MACHINA XVI.</C>
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9487 <C><I>Heronis va$a qu&aelig; vinum pro aqua infu$a reddunt:
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9488 $eu Hydri&aelig; Can&aelig; Galil&aelig;&aelig;.</I></C>
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diff changeset
9489 <p>CApite pr&aelig;cedenti Machina 10. con$truximus bina va$a, quo-
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diff changeset
9490 rum vni $i aqua infundatur, alterum reddit vinum. Ejun-
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diff changeset
9491 <pb n=221>
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diff changeset
9492 dem effectum pr&aelig;$tant bina va$a Heronis Alexandrini, qu&aelig; de-
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diff changeset
9493 fcribit ip$e in Libello $uo de $pirital. cap. 23. in hunc $en$um.
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diff changeset
9494 Fiat ba$is in$tar ci$t&aelig; AB; $upra quam collocentur duo va$a
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diff changeset
9495 <MARG>Vide Ico-
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diff changeset
9496 ni$mi XI.</MARG>
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diff changeset
9497 CD, &amp; EF, qu&aelig; o$cula ob$tructa habeant diaphragmatibus
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diff changeset
9498 GH, &amp; KL. Per vtraque va$a, perque ba$in, impellatur tubus
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diff changeset
9499 <MARG>Fig. XIX.</MARG>
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diff changeset
9500 MNXQ, cujus o$cula M &amp; Q &agrave; diaphragmatibus parum di$tent.
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diff changeset
9501 <MARG><I>Va$a Here-
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diff changeset
9502 nis qu&aelig; pro
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diff changeset
9503 aqua vin<*>
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diff changeset
9504 reddunt.</I></MARG>
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diff changeset
9505 In va$e EF fiat inflexus $iphon PRS, curvitatem R habens
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diff changeset
9506 infra diaphragma va$is, &amp; alterum ip$ius crus extra vas promi-
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diff changeset
9507 neat apud S, in$tar canalis. Per diaphragma GH demitta-
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parents:
diff changeset
9508 tur canalis TY, cujus pars $uperior coarctetur &amp; adferrumi-
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parents:
diff changeset
9509 netur diaphragmati, inferior ver&ograve; parum di$tet &agrave; fundo va$is.
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parents:
diff changeset
9510 His con$tructis, infundatur vinum in vas EF per foramen V
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diff changeset
9511 in diaphragmate factum; quod po$t infu$ionem diligenter ob-
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diff changeset
9512 turetur. Itaque $i per collum &amp; canalem TY in vas CD in-
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diff changeset
9513 fundamus aquam, continget a&euml;rem, qui e$t in ip$o, expul$um
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diff changeset
9514 procedere in vas EF per tubum MNXQ; &amp; ob id extrudere
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diff changeset
9515 vinum quod e$t in eo va$e. Atque hoc fiet toties, quoties
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diff changeset
9516 aquam infuderimus va$i CD.
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9517 <C>ANNOTATIO.</C>
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9518 <p><I>NEce$$e e$t, vt perpendiculum</I> TY, <I>&agrave;</I> T <I>v$que ad $upremam $uper-
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diff changeset
9519 ficiem aqu&aelig; va$is</I> CD, <I>$emper $it longius qu&agrave;m perpendiculum</I>
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diff changeset
9520 PR <I>&agrave; $uprema $uperficie vini v$que ad</I> R: <I>quare tubus</I> TY <I>debet
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diff changeset
9521 e$$e longior, qu&agrave;m crus</I> PR <I>$iphonis</I> PRS, <I>alioquin non expelletur
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diff changeset
9522 totum vinum. Idem hoc artificium exhiberi pote$t vnico va$e, vt
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diff changeset
9523 con$ideranti patebit, e&acirc;que ratione pote$t exhiberi miraculum Chri$ti
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diff changeset
9524 Salvatoris no$tri patratum in Cana Galil&aelig;&aelig;. Pote$t etiam in eundem.
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9525 finem vas vtrumque includi intra vas aliud capacius, fundum ha-
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9526 bens exemptilem. Vide Lip$torpium part.</I> 3. <I>Philo$ophi&aelig; Carte$ian&aelig;,
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diff changeset
9527 cap.</I> 3. <I>Machina</I> 11. <I>Merit&ograve; ergo va$a huju$modi vocari poterunt Metre-
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diff changeset
9528 <*>&aelig; Can&aelig; Galil&aelig;&aelig;.</I>
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diff changeset
9529 <pb n=222>
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9530 <C>MACHINA XVII.</C>
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9531 <C><I>Hydraconti$terium antiquum.</I></C>
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9532 <p>AUctor Recreationum Mathematicarum idiomate Gallico
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9533 ante aliquot annos con$criptarum (e$t is P. Joannes Leure-
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diff changeset
9534 chon &egrave; Societate JESV) &amp; ex ip$o Daniel Schvventerus in Re-
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diff changeset
9535 creationibus $uis itidem Mathematicis part. 13. qu&aelig;$t. 8. &amp; Ga-
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parents:
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9536 <MARG><I>Hydracon-
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9537 ti$terium
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9538 antiquum.</I></MARG>
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9539 $par Ens in Mathematico Thavmaturgo Probl. 93. num. 7. fa-
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9540 ciunt mentionem Machin&aelig; cuju$dam hydraulic&aelig;, qu&aelig;, vt Kir-
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diff changeset
9541 cherus mihi te$tatur te$tis oculatus, qui Mogunti&aelig; illam vidit,
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diff changeset
9542 aquas ejaculatur in altum, &egrave; $ubjecto va$e, aut puteo attractam,
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9543 tant&acirc; vehementi&acirc;, vt merit&ograve; ab hoc effectu, quem pr&aelig;$tat, ap-
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9544 pellari po$$it Hydraconti$terium, hoc e$t, aquarum ejaculato-
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9545 rium vas, derivato vocabulo ab <G>u(/dw<*></G> quod aqua, &amp; <G>a)xonti/cein</G>,
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9546 quod jaculari $ignificat.
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9547 <MARG>Vide Ico-
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9548 ni$. XII.</MARG>
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9549 <p>Machina duabus con$tat rotis dentatis A,B, &egrave; materia
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diff changeset
9550 duri$$ima fabricatis, &amp; ovali cap$ul&aelig; GD, ex eadem materia
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parents:
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9551 <MARG>Fig. XX.</MARG>
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9552 con$truct&aelig;, inclu$is tali indu$tria, vt dentes vnius rot&aelig; denti-
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diff changeset
9553 bus alterius ad&aelig;quat&egrave; inter$erantur tam arct&egrave;, vt nec a&euml;ri, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9554 aqu&aelig; tran$itus pateat vel inter vtramque rotam &amp; ip$am ova-
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9555 lem thecam, vel inter earundem rotarum ovali$que thec&aelig; pla-
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parents:
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9556 nities. Vnius rotarum axi extra thecam prominenti annexum
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9557 e$t manubrium BE, cujus officio rota, cui adh&aelig;ret, circum-
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9558 acta, oppo$itam agitet rotam. Quo modo fit, vt a&euml;r tubo
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9559 GH, qui fundo thec&aelig; ovalis in$ertus e$t, contentus, ac dein-
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9560 de aqua $ub$equens &egrave; va$e, aut puteo H, per vtrumque the-
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9561 c&aelig; latus, GC, GD, elevata, cogatur ex tubo F erumpere, &amp;
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9562 in altitudinem maximam pro$ilire. Porr&ograve; vt aqua ver$us quam
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9563 partem lubet, pellatur &egrave; tubo, alijs mobilibus tubulis, ip$i F
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9564 impo$itis, &amp; in quamvis partem flexibilibus, vtendum e$t, vt
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9565 pa$$im fieri vidi in nortis Romanis.
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9566 <C>ANNOTATIO.</C>
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9567 <p><I>NOta Lector, cap$ulam $eu thecam, cui rot&aelig; $unt inclu$&aelig;, ovalcm</I>
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9568 <pb>
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9569 <CAP><I>Iconismus XII. pag: 223.</I></CAP>
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9570 <FIG>
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9571 <pb n=223>
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9572 <I>habere figuram $ol&ugrave;m $ecund&ugrave;m $uperficiem rotarum dentes contin-
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9573 gentem, atque ambientem, nempe $ecund&ugrave;m $uperficiem</I> CFDG: <I>re-
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9574 liqu&aelig; enim $uperficies, qu&aelig; rotarum planities contingunt, plan&aelig; $unt,
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9575 &amp; rotarum $uperficiebus omnino contigu&aelig;. Aquarum ejaculatio fit
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9576 vi compre$$iva. Figura exhibet thecam ovalem $ectam per medium
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9577 $ecund&ugrave;m longitudinem, vt rot&aelig; intus di$po$it&aelig; appareant.</I>
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9578 <C>MACHINA XVIII.</C>
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9579 <C><I>Hydraconti$terium novum.</I></C>
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9580 <p>PR&aelig;cedens Machina videtur Bonaventur&aelig; Cavallerio, in$i-
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diff changeset
9581 <MARG><I>Hydracon-
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9582 ti$terium
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9583 novum.</I></MARG>
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9584 gni Mathematico, &amp; in Bononien$i Vniver$itate $uperiori-
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9585 bus annis publico Lectori, valde imperfecta, Exercitatione 6.
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9586 Geometrica, Propo$it. 39. &amp; vlt. e&ograve; qu&ograve;d confricati dentes faci-
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9587 l&egrave; atterantur, $icque detur tran$itus &amp; a&euml;ri, &amp; aqu&aelig; inter rotas
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9588 &amp; thecam, ideoque inutilis reddatur Machina: pr&aelig;terqu&agrave;m
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9589 qu&ograve;d difficilis videatur ejus con$tructio. Ip$e ver&ograve; occa$ione
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9590 hujus machin&aelig; aliam excogitavit, quam ait e$$e ad con$truen-
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9591 dum faciliorem, &amp; confricatione poti&ugrave;s perfici, qu&agrave;m vitiari;
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9592 &amp; pr&aelig;terea majori violentia aquam projicere. Qu&aelig; an ita $e
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9593 habeant, perito Lectori judicandum relinquo. Machinam
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9594 ab ip$o Cavallerio con$tructam, form&acirc; non admodum magn&acirc;,
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9595 habet Reverendus Pater Urbanus Ordinis Je$uatorum, in$ignis
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diff changeset
9596 Mathematicus, &amp; dicti Patris Cavallerij olim Di$cipulus, nunc
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diff changeset
9597 Mona$terij Sanctorum Joannis &amp; Pauli prope Clivum Scauri
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9598 Rom&aelig; Religio$us; vbi illam mihi mon$travit, &amp; pro $ua huma-
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9599 nitate etiam explanavit. Forma Machin&aelig; exterior e$t, qualem
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9600 o$tendit Iconi$mi XII. Figura XXII. puteo $uperpo$ita: inte-
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9601 riorem ver&ograve; ichnographiam repr&aelig;$entat Figura XXI. Machin&aelig;
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9602 fabricam propono ip$i$met Cavallerij verbis, vt $equitur, non-
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9603 nullis interpo$itis verbis proprijs.
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9604 <p><I>Hoc ergo vas</I> ($cilicet Hydraconti$terium, $eu aquarum eja-
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9605 culatorium, vt ip$e appellat) <I>debet fieri ex materia duri$$ima; &amp;
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9606 e$t cap$ula rotunda intus, &amp; foris, licet intus non perfect&egrave;, vt mox</I>
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9607 <pb n=224>
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9608 <I>patebit. Intra dictum vas duo $unt fru$ta,</I> $eu partes principales,
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9609 <I>quorum vnum e$t tympanum, $eu cylindrus, va$e ita conclu$us, vt $it
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diff changeset
9610 fundo perpendicularis,</I> eidemque <I>excentricus,</I> ac <I>prominens extra
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diff changeset
9611 operculum va$is; qui</I> cylindrus <I>habet fixuram per axem &aelig;quali ductu,
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diff changeset
9612 &amp; latitudine, in ip$o inci$am &agrave; $uperficie interiori fundi v$que ad in-
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diff changeset
9613 teriorem operculi. Iuxta latitudinem fixur&aelig; debet fieri tabella,</I> (&amp;
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diff changeset
9614 h&aelig;c e$t alterum fru$tum, $eu pars intra cap$am rotundam) <I>eju$-
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diff changeset
9615 demque altitudinis; qu&aelig; per ip$am fixuram, dum tympanum manu-
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9616 brio convertitur, $u$que deque continu&ograve; reciprocetur, abradens $uper-
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9617 ficiem interiorem va$is, fundum, &amp; operculum. Hinc enim eveniet,
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9618 vt per quoddam foramen attracta aqua illa con$tricta in angu$tum lo-
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diff changeset
9619 cum egrediatur per aliud foramen, $i mod&ograve; vas $it vndique clau$um,
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diff changeset
9620 <*>&egrave; a&euml;r intus penetrare po$$it. Sed h&aelig;c clari&ugrave;s ex $chemate</I> ichno-
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9621 graphico <I>fundi eju$dem va$is intelligentur.</I>
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9622 <MARG>Vide Ico-
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parents:
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9623 ni$mi XII.</MARG>
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diff changeset
9624 <p><I>Sit ergo,</I> ABCD, <I>peripheria interior fundi pr&aelig;dicti va$is, &amp;
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parents:
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9625 in ea diameter</I> CLA. <I>Accept&aelig; autem circino parte</I> LC, <I>qu&aelig; re-
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parents:
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9626 <MARG>Fig. XXI.</MARG>
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parents:
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9627 linquat</I> LA, <I>parv&aelig; quantitatis, prout nobis placebit, inveniatur</I>
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parents:
diff changeset
9628 BD, <I>perpendicularis ip$i</I> AC, <I>&amp; aqualis</I> LC; <I>quibus concurrenti-
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parents:
diff changeset
9629 bus in</I> N, <I>centro</I> N, <I>intervallo</I> NL, <I>de$cribatur circulus</I> LHMK,
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parents:
diff changeset
9630 <I>qui qu&ograve; min&ugrave;s excentricus erit, &amp; major, e&ograve; minor erit labor in ope-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9631 rando. Similiter &agrave; puncto</I> B, <I>vel ip$i vtcunque proximo, vt</I> G,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9632 <I>ducatur flexuo$a linea, vt</I> GL, <I>qu&aelig; poterit e$$e peripheria ctrculi ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9633 vitatis, quam artifex melierem judicaverit. Vlteri&ugrave;s ductis</I> LQ, PM,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9634 <I>parallelis, ac centrum intercipientibus, ab eoque &aelig;qualiter di$tanti-
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parents:
diff changeset
9635 bus, fiat</I> LPCSL, <I>qu&aelig; repr&aelig;$entabit formam tabell&aelig; tran$euntis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9636 fixuram</I> LQMP, <I>tympani</I> LHMK, <I>quod volvatur in circulo</I> LHMK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9637 <I>excavato intra fundum. Linea</I> GL, <I>o$tendit $uperficiem va$is,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9638 $ecund&ugrave;m quam deviat &agrave; perfecta rotunditate.</I> ALP <I>e$t locus dia-
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parents:
diff changeset
9639 phragmate claudendus, n&egrave; aqua in parte</I> CGO <I>con$tituta, &amp; com-
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parents:
diff changeset
9640 pre$$a, po$$it tran$ire ad partes</I> D, <I>$ed cogatur egredi per foramen,
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9641 vt</I> E. <I>Sic igitur con$tituto</I> AC, <I>vt $tet perpendicularis horizonti,</I>
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9642 $cilicet fundo Machin&aelig;, <I>facto foramine tractorio in</I> F, <I>circa me-
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parents:
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9643 dium $emicirculi</I> AFC; <I>$i manubrio volvatur tympanum</I> LHMK,
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parents:
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9644 <I>&agrave;</I> C <I>in</I> B <I>(vt $emper $upponimus fieri motum) tabella</I> LC <I>abradet pe-</I>
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9645 <pb n=225>
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parents:
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9646 <I>ripheriam &amp; $uperficiem interiorem va$is, incedens $ecund&ugrave;m $emi-
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parents:
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9647 tam</I> CBGL, <I>con$tringen$que a&euml;rem, qui erit in parte</I> CBGOQ, <I>egre-
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parents:
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9648 di per foramen</I> E. <I>Vnde oportebit $uccedere a&euml;rem, &amp; deinde aquam,
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parents:
diff changeset
9649 per foramen</I> F, <I>ip$amque $imili ratione con$tringi &agrave; tabella</I> LC, <I>dum
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parents:
diff changeset
9650 movebitur ver$us</I> B, <I>ita vt idcirco veloci$$im&egrave; ac violenti$$im&egrave; per
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parents:
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9651 foramen</I> E <I>egrediatur aqua. Et quia tabella, $i conteratur in</I> SC,
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parents:
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9652 <I>$emper magis adh&aelig;re$cet $uperficiei va$is interioris, quam abradit;
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parents:
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9653 ideo dixi, in v$u hanc Machinam perfectiorem fieri. Licet nec ip$a
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9654 careat $uis difficultatibus. Non in longiorem $ermonem hanc diffun-
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9655 dimus doctrinam, quia peritus artifex, qu&aelig; deficiunt, $ua indu$tria
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parents:
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9656 $upplere poterit, tam circa diaphragma</I> ALP, <I>qu&agrave;m $uperficiem</I> GL,
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9657 <I>&amp; c&aelig;tera qu&aelig; $pectant ad ip$am Machinam exqui$it&egrave; laborandam.
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9658 Hoc autem $olum moneo, con$iderandum e$$e, tympanum egredi ex
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parents:
diff changeset
9659 operculo, &amp; ideo in egre$$u po$$e collum fieri in ip$o operculo, &amp; in
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diff changeset
9660 parte exteriori, vt circa ip$um collum circumduci po$$it corium filo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9661 con$tringens &amp; collum, &amp; partem tympani extantem extra vas, n&egrave;
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parents:
diff changeset
9662 detur a&euml;ri ingre$$us.</I> Hactenus Cavalerius.
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diff changeset
9663 <p><I>Porr&ograve; ip$am Machinam actu operantem in $ecunda figura</I> ($ci-
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diff changeset
9664 <MARG>Vide Ico-
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parents:
diff changeset
9665 ni$mi XII.</MARG>
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diff changeset
9666 licet XXII.) <I>videre potes; quam ni $atis explicavi, &aelig;qui bonique con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9667 $ulas.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9668 <MARG>Fig. XXII.</MARG>
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diff changeset
9669 <C>ANNOTATIO.</C>
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parents:
diff changeset
9670 <p><I>DIfficulter, fateor, ex hac de$criptione, &amp; ex alia quacunque, Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9671 chin&aelig; $tructura &amp; v$us intelligi pote$t, ni$i ip$a Machina oculis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9672 in$piciatur. Pr&aelig;cedens Machina e$t, meo judicio, long&egrave; facilior ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9673 con$truendum; nec minorem pr&aelig;$tat effectum qu&agrave;m h&aelig;c, Kirchero te-
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parents:
diff changeset
9674 $te, qui vtramque vidit. H&aelig;c etiam po$terior valde expo$ita e$t ru-
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parents:
diff changeset
9675 ptura periculo, $i tympani eccentricitas major fiat qu&agrave;m pare$t. Quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9676 ta autem pr&aelig;cis&egrave; e$$e debeat dicta eccentricitas, non pote$t pr&aelig;$cribi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9677 regula certa &amp; vniver$alis; dependet enim &agrave; va$is majori vel mino-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9678 ri diametro, &agrave; meliori partium compactione, &agrave; duritie materi&aelig;, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9679 $imilibus. Experienti&acirc; autem reperire dictam excentricitatem, $um-
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parents:
diff changeset
9680 mi e$t laboris. Qu&ograve;d etiam Machina v$u &amp; tricatione per$iciatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9681 induci non po$$um vt eredam. Erit quidem e&ograve; minor labor in cir-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9682 <pb n=226>
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parents:
diff changeset
9683 <I>cumducendo tympano, qu&ograve; magis attrita fuerit tabell&aelig; pars</I> CS; <I>at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9684 minori etiam impetu ejicietur aqua per foramen</I> E, <I>quia plus aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9685 inter dictam tabellam &amp; va$is latera intercipietur. C&aelig;terum inge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9686 nio$i$$ima e$t Machina, &amp; $i peritum $ortiatur artificem, mirabilem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9687 pr&aelig;$tat effectum. Nec dubito quin $imilem, licet minorem, pr&aelig;$tet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9688 effectum, $i dictum tympanum</I> LHQMK <I>fiat concentricum rotundo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9689 fundo cap$&aelig;; dummod&ograve; tabella</I> PCSL <I>tympano in$ixa, exacti$$im&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9690 radat interiora latera cap$&aelig;.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9691 <C>CAPUT III.</C>
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parents:
diff changeset
9692 <C>De Machinis qu&aelig; fiunt Rarefactione.</C>
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parents:
diff changeset
9693 <MARG><I>Machina
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parents:
diff changeset
9694 qu&aelig; fiunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9695 rarefactione</I></MARG>
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parents:
diff changeset
9696 <p>RArefactione inquam, non conden$atione:
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parents:
diff changeset
9697 nam qu&aelig; conden$atione fiunt, pertinent ad
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parents:
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9698 primum caput, vtpote metu vacui in$titut&aelig;;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9699 vnde Machinula V. $equens Mixtum habet principium,
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9700 &amp; ad Caput V. $pectat. Pr&aelig;ter allatas porr&ograve; hoc capi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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9701 te Machinas, rarefactione fiunt etiam Machin&aelig; 3 4. 5.
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9702 &amp; 6. Cla$$is $ecund&aelig; $equentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9703 <C>MACHINA I.</C>
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parents:
diff changeset
9704 <C><I>Pyrobolus Fons, incale$centis per ignem a&euml;ris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9705 vi aquam expellens.</I></C>
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parents:
diff changeset
9706 <MARG><I>Fons Pyro-
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parents:
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9707 lobicus.</I></MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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9708 <p>PYrobolum fontem appello hanc Machinam, quia ignis vi
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parents:
diff changeset
9709 rarefactus aer in altum expellit aquam. Con$tructionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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9710 docet P. Kircherus lib. 3. Artis Magnet. part. 2. cap. 3. Experim. 1.
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diff changeset
9711 &amp; affert Clari$$imus Har$torfferus in Delicijs t. 2. part. 8. qu&aelig;$t. 22.
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parents:
diff changeset
9712 <MARG>Vide Ico-
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parents:
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9713 ni$mi XIII.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9714 <p>Fiat itaque ex &aelig;re, ferro, aliav&egrave; materia re$i$tente igni,
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parents:
diff changeset
9715 vas quodpiam ABC in$tar candelabri, aliamv&egrave; in formam ela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9716 <MARG>Fig. I.</MARG>
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parents:
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9717 boratum; eique imponatur, optime&qacute;ue adferruminetur aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9718 <pb>
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parents:
diff changeset
9719 <CAP><I>Iconismus XIII. pag: 227.</I></CAP>
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parents:
diff changeset
9720 <FIG>
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parents:
diff changeset
9721 <pb n=227>
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parents:
diff changeset
9722 vas CE clau$um &otilde;perculo $uo DM, &amp; a&ecirc;ri pror$us impervium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9723 Toti huic va$orum $y$temati indatur $iphon ABD, ita ei fer-
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parents:
diff changeset
9724 ruminatus, vt va$a a&euml;ri $int impervia. Qui quidem $iphon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9725 porrigatur v$que ad operculum M va$is ED, $ed operculum
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parents:
diff changeset
9726 non attingat. Deinde ex loco E va$is CE alius infr&agrave; apertus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9727 $iphon EF per $uperiorem partem va$is in altum protendatur,
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parents:
diff changeset
9728 de$inens in angu$tum orificium, &amp; fundum va$is non attingens.
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parents:
diff changeset
9729 His peractis, vas ED per foramen M liquore repleatur, aqu&acirc;
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parents:
diff changeset
9730 videlicet pur&acirc;, aut odorifera; &amp; n&egrave; re$pirare po$$it, arct&egrave; clau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
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9731 datur. Vas etiam AB aqu&acirc;, aliov&egrave; liquore aliquou$&qacute;ue tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9732 t&ugrave;m repleatur, n&egrave; $cilicet o$culum A liquori immergatur. His
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diff changeset
9733 etiam pr&aelig;$titis, $i Amicis $pectaculum pr&aelig;bere de$ideras fon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9734 tis, virtute ignis aquam ejaculantis, $uperimpone Machinam
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parents:
diff changeset
9735 igni, aut fornaci calid&aelig; hypocau$ti alicujus; a&euml;rque ac vapor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9736 va$is AB ex nimia raritate dilatatus, &amp; majus qu&aelig;rens $pa-
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parents:
diff changeset
9737 cium, c&ugrave;m nullum effugiendi locum, ni$i per $iphonem ABD
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parents:
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9738 reperiat, per eum violenter diffu$us, in vas ED $e exonerare
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parents:
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9739 tentabit. Ver&ugrave;m alio jam liquore $tationem va$is ED occu-
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9740 pante, in intolerabiles angu$tias redactus, alij$que identidem ra-
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parents:
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9741 refactis partibus accedentibus auctior $ubtiliorque factus, gra-
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parents:
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9742 vem inibit cum aqua va$is ED luctam. Aut igitur vas rum-
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parents:
diff changeset
9743 patur, aut aqua cedat, nece$$e e$t. Sed quia hoc facilius, aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9744 tandem violento rarefacti a&euml;ris imperio cedens, per $iphonem
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casties
parents:
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9745 EF magno impetu in altum profu$a, jucundum intuentibus
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casties
parents:
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9746 exhibebit $pectaculum.
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9747 <C>ANNOTATIO.</C>
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parents:
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9748 <p><I>COncitatur fons hic in $altum vi rarefactiva, &amp; violentia a&euml;ris com-
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diff changeset
9749 <MARG>Draco ign&etilde;
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diff changeset
9750 ex ore vo-
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parents:
diff changeset
9751 mens.</MARG>
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diff changeset
9752 pre$$ione. Vide Mer$ennum in Pnevmat. propo$it.</I> 30. <I>Po$$et fie-
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diff changeset
9753 ri Machina in formam volucris, alteriu$v&egrave; animalis erecti in pedes, &amp;
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diff changeset
9754 aquam ex ore ex$puentis. E&acirc;dem Machin&acirc; exhiberipote$t draco ignem
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diff changeset
9755 ex ore vomens, $i vas</I> ED <I>repleatur liquore dactylorum marinorum,
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diff changeset
9756 qui in guttas po$t ejectionem &egrave; tubulo emi$$orio re$olutus exhibebit no-
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diff changeset
9757 ctu, aut in tenebis, igneas $cintillas.</I>
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diff changeset
9758 <pb n=228>
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parents:
diff changeset
9759 <C>MACHINA II.</C>
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parents:
diff changeset
9760 <C><I>Fons alius pyrobolus, projectum liquorem con-
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diff changeset
9761 vertens in a&euml;rem, aut ignem.</I></C>
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parents:
diff changeset
9762 <MARG><I>Fons pyro-
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parents:
diff changeset
9763 bolic' alius.</I></MARG>
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parents:
diff changeset
9764 <p>UT o$tenderet P. Kircherus miram elementarium rerum vir-
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diff changeset
9765 tutem, fontem aliquando con$truxit, cujus liquor in al-
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diff changeset
9766 tum profiliens, deor$um non revertebatur, $ed in a&euml;rem $ubit&ograve;
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parents:
diff changeset
9767 conver$us inanes evane$cebat in auras. Cujus rei $pectaculo
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diff changeset
9768 c&ugrave;m multi attoniti h&aelig;rerent, nec eju$dem cau$am $cirent; in-
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diff changeset
9769 ftanter $ollicitarunt pr&aelig;dictum P. Kircherum, vt Machin&aelig; ra-
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parents:
diff changeset
9770 tiones aperiret. Quod ip$e tandem pr&aelig;$titit in Arte Magnet.
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diff changeset
9771 lib. 3. part. 2. cap. 3. Experimento 4. Ex quo illam affert Do-
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diff changeset
9772 cti$$imus Norimbergen$is Patricius $&aelig;pe nominatus in $uis De-
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parents:
diff changeset
9773 licijs, parte 1. qu&aelig;$t. 5. Sic autem con$truitur.
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parents:
diff changeset
9774 <MARG>Vide Ico-
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parents:
diff changeset
9775 ni$mi XIII.</MARG>
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parents:
diff changeset
9776 <p>Fiant duo vafa $olida $tannea, &aelig;rea, cuprea, alteriu$v&egrave;
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diff changeset
9777 metalli, I &amp; C, vndique clau$a, di$criminata column&acirc; con-
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parents:
diff changeset
9778 <MARG>Fig. II.</MARG>
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parents:
diff changeset
9779 cav&acirc; M; intra quam lateat $iphon CI, ductus &egrave; va$e C per
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parents:
diff changeset
9780 fundum va$is I, &amp; paul&ograve; infra operculum S de$inens in vtro-
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parents:
diff changeset
9781 que va$e, vti in figura apparet. Vas ver&ograve; I $iphonem AF ha-
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parents:
diff changeset
9782 beat, qui operculo S adglutinatus non attingat fundum va$is,
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parents:
diff changeset
9783 &amp; per operculum in F deducatur. Sit autem huju$modi ca-
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parents:
diff changeset
9784 nalis AF canale IC mult&ograve; $ubtilior, atque in F foramen ha-
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parents:
diff changeset
9785 beat qu&agrave;m fieri poterit $ubtile. Quo facto, repleta tertia par-
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diff changeset
9786 te va$is C aqu&acirc;, aut quovis alio liquore, id ita obturetur, vt
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diff changeset
9787 a&euml;ri $it impervium; vas autem I $piritu vini ter rectificato re-
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diff changeset
9788 plebis, obturabi$que dicta ratione. Hanc itaque Machinam
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diff changeset
9789 loco apto, $cilicet fervido a&euml;ri expones, vel in $ole, vel in ca-
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diff changeset
9790 lido hypocau$to; va$ique C $uppones ignem aut lampadem.
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diff changeset
9791 Aqua igitur va$is C cum a&euml;re inclu$o vehementer rarefacta,
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diff changeset
9792 amplioremque locum qu&aelig;rens, a&euml;rem eju$dem va$is vapidum
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diff changeset
9793 attenuatumque per $iphonem CI in vas I propellet; hic pro-
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diff changeset
9794 pul$us $piritum vini in hoc va$e inclu$um offendens, c&ugrave;m $imul
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diff changeset
9795 loco con$i$tere non po$$int, eum per $iphonem AF in altum
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diff changeset
9796 ad in$tar fili $ubtili$$imi projiciet; tenuis ver&ograve; $piritus, vini$ub-
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parents:
diff changeset
9797 <pb n=229>
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parents:
diff changeset
9798 $tantia, a&ecirc;rem fervidum $entiens, ob proximam, quam habet
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diff changeset
9799 ad a&euml;rem di$po$itionem, in eum fubit&ograve; $e convertet, nec am-
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parents:
diff changeset
9800 pli&ugrave;s de$cendet.
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diff changeset
9801 <C>ANNOTATIO I.</C>
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parents:
diff changeset
9802 <C><I>Meteorologic&aelig; impre$$iones Igne&aelig;.</I></C>
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parents:
diff changeset
9803 <p><I>QV&ograve;d $i igneam pluviam, ignitas trabes, $tellas cadentes, alia$que</I>
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parents:
diff changeset
9804 <MARG>Meteora
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parents:
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9805 ignea ar-
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parents:
diff changeset
9806 tificialia.</MARG>
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parents:
diff changeset
9807 <I>meteorologicas impre$$iones repr&aelig;$entare de$ideres; per $alientis
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parents:
diff changeset
9808 $piritus vini a$perginem traduces titionem, aut ferrum candens, &amp;
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parents:
diff changeset
9809 nitidus vapidu$que ille a&euml;r $ubit&ograve; flammam concipiens, admirabil&etail;
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parents:
diff changeset
9810 $pectaculum intuentibus pr&aelig;bebit.</I>
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parents:
diff changeset
9811 <C>ANNOTATIO II.</C>
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diff changeset
9812 <p><I>FOns hic projicit in altum liquorem inclu$um, vt pr&aelig;cedens, nempe</I>
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parents:
diff changeset
9813 <MARG>Vas pro ma-
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parents:
diff changeset
9814 nibus la-
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parents:
diff changeset
9815 vandis.</MARG>
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parents:
diff changeset
9816 <I>per vim rarefactivam, &amp; compre$$i a&euml;ris violentiam. Pote$t hac
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diff changeset
9817 arte efformari vas lavandis convivarum manibus aptum, hyem&etail;
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parents:
diff changeset
9818 pr&aelig;$ertim.</I>
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diff changeset
9819 <C>MACHINA III.</C>
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parents:
diff changeset
9820 <C><I>Thermo$copium progno$ticum.</I></C>
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parents:
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9821 <p>THermo$copium, aut $i mavis, Thermometrum appellamus
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9822 in$trumentum, quo rarefactionis &amp; conden$ationis vi in-
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parents:
diff changeset
9823 ten$io ac remi$$io caloris &amp; frigoris loci alicujus explorantur
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parents:
diff changeset
9824 in dies &amp; horas $ingulas. De$cribit illud P. Athana$ius Kirche-
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diff changeset
9825 rus lib. 3. Artis Magnet. part. 2. cap. 2. Marius Bettinus loco in-
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9826 fr&agrave; citando Annot. 2. Marinus Mer$ennus in Ph&aelig;nomenis Hy-
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diff changeset
9827 draulicis Propo$it. 29. &amp; alij. Duobus autem modis con$tru-
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9828 untur huju$modi Thermo$copia, $eu Thermometra; quorum
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parents:
diff changeset
9829 primus in$ervit hyemi, $ecundus &aelig;$tati.
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diff changeset
9830 <C><I>Thermo$copium Hybernum.</I></C>
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parents:
diff changeset
9831 <p>PRimus modus hic e$t. Fiat vitreus $iphon AB, duorum
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parents:
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9832 <MARG>Vide Ico-
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9833 ni$mi XIII.</MARG>
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parents:
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9834 triumv&egrave; circiter palmorum longus, collo gracili, rectus, vel
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9835 <MARG>Fig. III.</MARG>
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9836 <pb n=230>
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parents:
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9837 in modum helicis tortus, aut alio, quo placuerit, modo effi-
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diff changeset
9838 ctus; qui $uperi&ugrave;s in ventrem A protuberet a&euml;ri pror$us im-
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diff changeset
9839 pervium; qui venter qu&ograve; fuerit capacior, e&ograve; meliorem $ucce$-
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diff changeset
9840 $um habebit experimentum. Huju$modi $iphon coloratis cir-
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diff changeset
9841 culis in partes octo &aelig;quales dividatur $ecund&ugrave;m longitudinem,
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diff changeset
9842 ad$criptis etiam numeris divi$ionum; vel cert&egrave; tabella, cui &aelig;neis
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diff changeset
9843 <MARG><I>Thermo$co-
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diff changeset
9844 pium hyber-
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diff changeset
9845 num.</I></MARG>
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diff changeset
9846 circellis $iphon affixus erit, dict&acirc; ratione dividatur, prout figu-
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diff changeset
9847 ra mon$trat. Hic $iphon alteriampull&aelig; B, aqu&acirc;, $eu alio $ub-
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diff changeset
9848 tili quodam, &amp;, $i placet, colorato humore pri&ugrave;s aliquou$que
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diff changeset
9849 replet&aelig; in fundum v$que indatur, ita tamen, vt aqua ampul-
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diff changeset
9850 l&aelig; ingredi in ip$um po$$it; habebi$que in$trumentum pr&aelig;pa-
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diff changeset
9851 ratum. Proderit tamen mult&ugrave;m, $i aqua ampull&aelig; B $it ignis
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diff changeset
9852 vi $ublimata, perfecti$$ime&qacute;ue def&aelig;cata atque attenuata, tum
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diff changeset
9853 vt levior $it, tum n&egrave; hyeme facil&egrave; conglaciet. In hujus igitur
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diff changeset
9854 In$trumenti ventre A protuberante rarefactus a&euml;r, tempe$ta-
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diff changeset
9855 te calid&acirc;, aquam elevatam ver$us inferiores $iphonis partes pro-
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diff changeset
9856 pellet; idem ver&ograve; a&euml;r frigida tempe$tate conden$atus, ex imo
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diff changeset
9857 ampull&aelig; aquam po$t $e ver$us $uperiores $iphonis partes tra-
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diff changeset
9858 het, tanto&qacute;ue magis de$cendet, a$cendetque aqua, quant&ograve;
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diff changeset
9859 major fuerit caloris aut frigoris temperies, ita vt etiam mini-
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diff changeset
9860 m&aelig; a&euml;ris mutationes notari, vel clau$o cubiculo, po$$int atque
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diff changeset
9861 pr&aelig;dici; vt etiam in$tantes pluvi&aelig;, $erenitates, frigora, calo-
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diff changeset
9862 res. Itaque caloris gradus in huju$modi con$tructione deor-
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diff changeset
9863 $um, frigoris ver&ograve; $ur$um in vitreo tubo $ignati computari de-
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parents:
diff changeset
9864 bent.
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diff changeset
9865 <C>ANNOTATIO.</C>
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diff changeset
9866 <p><I>NOta h&icirc;c, ampullam</I> B <I>po$$e e$$e conjunctam tubo, $icuti conjuncta
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diff changeset
9867 ip$i e$t ampulla</I> A; <I>dummod&ograve; in ea relinquatur $uperi&ugrave;s exiguum
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diff changeset
9868 foramen pro a&euml;ris $piraculo, vt $cilicet aqu&acirc; a$cendente, a&euml;r in am-
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diff changeset
9869 pullam</I> B <I>ingredi; e&acirc;dem ver&ograve; de$cendente, a&euml;r egredi po$$it. Pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9870 $tat etiam vt $uperior $ph&aelig;rula</I> A <I>$it grandiu$cula, &amp; major qu&agrave;m
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diff changeset
9871 $ph&aelig;rula</I> B, <I>vt dixi paul&ograve; ant&egrave;. Hoc modo con$tructum Thermo$co-
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diff changeset
9872 pium commodius e$t pro hyeme ac tempore frigido, qu&agrave;m pro &aelig;$tate</I>
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diff changeset
9873 <pb>
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diff changeset
9874 <CAP><I>Iconismus XIV. pag: 231.</I></CAP>
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parents:
diff changeset
9875 <FIG>
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parents:
diff changeset
9876 <pb n=231>
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diff changeset
9877 <I>&amp; tempore calido: nam hyemali tempore facil&egrave; a$cendit aqua, &amp; ad
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parents:
diff changeset
9878 notabile $pacium, &aelig;$tivo ver&ograve; tempore aut nihil omnino, aut valde
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parents:
diff changeset
9879 modic&egrave; a$cendit.</I>
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diff changeset
9880 <C><I>Thermo$copium &AElig;$tivum.</I></C>
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diff changeset
9881 <p>SEcundus modus, priori pror$us contrarius, hic e$t. Fiat vi-
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diff changeset
9882 <MARG>Vide Ico-
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diff changeset
9883 ni$mi XIV.</MARG>
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diff changeset
9884 treus $iphon dict&aelig; magnitudinis, rectus, aut tortus, cujus
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diff changeset
9885 $uperior pars protuberans in globum A, aperta $it, &amp; a&euml;ri
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parents:
diff changeset
9886 <MARG>Fig. IV.</MARG>
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parents:
diff changeset
9887 pervia; ampulla ver&ograve; B, cui aqu&acirc; ad tertiam fer&egrave; partem re-
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diff changeset
9888 <MARG><I>Thermo-
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parents:
diff changeset
9889 $copium
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parents:
diff changeset
9890 &aelig;$tivum.</I></MARG>
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diff changeset
9891 plet&aelig; inditur $iphon, ita obturetur, ut nulla pror$us a&euml;ri via
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parents:
diff changeset
9892 detur; habebi$que in$trumentum pr&aelig;paratum. In hoc a&euml;r,
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diff changeset
9893 qui in ampulla B includitur, rarefactus aquam per $iphonem
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diff changeset
9894 in $uperiores partes propellit; conden$atus ver&ograve; eandemaquam
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diff changeset
9895 po$t $e in imum attrahit. Itaque gradus caloris in hoc $ur$um,
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diff changeset
9896 frigoris deor$um computantur. Hoc modo con$tructum Ther-
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diff changeset
9897 mo$copium &aelig;$tivo tempori magis convenit, qu&agrave;m hyberno,
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9898 quia &aelig;$tate a&euml;r ampull&aelig; B rarefactus expellit $ur$um aquam,
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9899 hyeme non item.
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diff changeset
9900 <C>ANNOTATIO I.</C>
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9901 <p><I>QVod $i in vtroque thermometro vtraque $ph&aelig;rula, nempe</I> A <I>$u-
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diff changeset
9902 perior, &amp;</I> B <I>inferior, arct&egrave;, &amp; $i placet, hermetic&egrave; claudatur,
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9903 eundem effectum videbimus quem in primo modo: nempe dum frigo-
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diff changeset
9904 re conden$atur a&euml;r $ph&aelig;rul&aelig;</I> A, <I>a$cendet aqua; $ed tunc nece$$ari&ograve; a&euml;r
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diff changeset
9905 $ph&aelig;rul&aelig;</I> B <I>debet rarefieri: dum ver&ograve; colore rarefit a&euml;r $ph&aelig;rul&aelig;</I> A, <I>de-
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diff changeset
9906 $cendet aqua; $ed tunc a&euml;r $ph&aelig;rul&aelig;</I> B <I>debet conden$ari. Ratio pri-
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diff changeset
9907 mi e$t, n&egrave; detur vacuum; ratio $ecundi, n&egrave; detur penetratio corporum;
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9908 quorum vtrumque Natura abhorret.</I>
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diff changeset
9909 <C>ANNOTATIO II.</C>
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9910 <p><I>DIvi$io tubuli in octo partes, (quarum $ingul&aelig; in alias minores $ub-
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9911 dividi po$$unt) ab imo ad $ummum pro a$cen$u aqu&aelig;, &amp; &agrave; $um-
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9912 mo ad imum pro de$cen$u eju$dem, bipartita fieri pote$t, ad$criptis in
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diff changeset
9913 vtroque latere numeris, vt in figura apparet. Videtur tamen, qu&ograve;d</I>
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9914 <pb n=232>
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9915 <I>$pacia divi$ionis non debeant e$$e &aelig;qualia, tum quia in primo modo
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9916 facili&ugrave;s aqua a$cendit per primum, qu&agrave;m per $ecundum $pacium, pro-
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9917 pter minorem conden$ati a&euml;ris re$i$tentiam in primo, qu&agrave;m in $ecun-
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9918 do $pacio: tum etiam quia qu&ograve; majus fit perpendiculum aqu&aelig; a$cenden-
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parents:
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9919 tis, e&ograve; major e$t difficultas in attrahenda aqua. Vnde $i ex a$cen$u
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9920 aqu&aelig; per vnum $pacium inferimus a&euml;rem e$$e infrigidatum vt vnum,
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9921 ex a$cen$u eju$dem aqu&aelig; v$que ad $ecundum $pacium &aelig;quale, non de-
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9922 bemus inferre a&euml;rem e$$e infrigidatum $ol&ugrave;m vt duo, $ed magis. Ea-
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9923 dem e$t ratio in $ecundo modo, ac eadem fer&egrave; cau$a.</I>
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9924 <C>ANNOTATIO III.</C>
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9925 <p><I>UT porr&ograve; thermo$copium primo modo con$tructum $tatim effectum
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9926 $uum pr&aelig;$tet, debet tubus cum phiala $ua</I> A, <I>pri&ugrave;s quam impo-
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9927 natur aqua phial&aelig;</I> B, <I>calefieri, vt a&euml;r quam maxim&egrave; rare$cat: $ic
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9928 enim fiet, vt dum aqu&aelig; immergitur tubus, &amp; a&euml;r frige$cit ac con-
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9929 den$atur, aqua $tatim a$cendat.</I>
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9930 <C>ANNOTATIO IV.</C>
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9931 <p><I>P. Marius Bettinus in $uis Appiarijs Mathematic is Apiar.</I> 8. <I>Progym-
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9932 na$.</I> 3. <I>in Scholio, traducit Thermo$copiorum v$um ad rem A$tro-
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9933 nomicam, nimirum ad deprehendendas a&euml;reasrefractiones. Lege ip$um,
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9934 $i placet. Kircherus loc. cit. multas eorundem vtilitates innuit. Ad-
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9935 dit, $e hac arte con$truxi$$e olim machinas argento vivo ex parte re-
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9936 pletas, ij$que omnes ventorum differentias prope verum cogno$ci po-
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9937 tui$$e; vti &amp; vim ac qualitatem elementarem vniu$cuju$que rei juxta
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9938 gradum $uum certa applicatione. Qu&aelig; tamen omnia, ait idem Kir-
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9939 cherus, perfecti&ugrave;s, naturaliu$que repr&aelig;$entari po$$unt in $ph&aelig;ra, cui in-
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9940 clu$i $int $pirates vitrei $iphones. Vide etiam qu&aelig; dicimus infr&agrave; Cla$$e</I> 2.
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9941 <I>Machina</I> 14. <I>Annot.</I> 1. <I>ver$us finem, &amp; qu&aelig; habet Robertus &agrave; Flu-
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9942 ctibus in fine Operis de Meteorologicis impre$$ionibus.</I>
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9943 <C>MACHINA IV.</C>
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9944 <C><I>In$trumentum novum gradus humidi &amp;
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9945 $icci indicans.</I></C>
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9946 <p>PR&aelig;cedens inftrumentum indicat gradus ealoris &amp; frigoris,
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9947 <pb n=233>
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9948 ut vidimus; $equens humidi &amp; $icci gradus o$tendit. Vt ver&ograve;
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9949 res tota meli&ugrave;s intelligatur, $ciendum e$t, Naturam $tupenda
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9950 $&aelig;pe, penitus&qacute;ue ab$tru$a exhibere miracula in rebus etiam vi-
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9951 li$$imis, qu&aelig; tamen minim&egrave; cogno$cuntur, ni$i ab iis, qui $agaci
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9952 ingenio, &amp; ad $crutandum nato empiro$ophiam, $eu experien-
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9953 tiam rerum magi$tram con$ulunt. Horum ex numero $unt res
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9954 qu&aelig;dam etiam vili$$im&aelig;, qu&aelig; perpetui motus rationem ex pro-
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9955 pria natur&aelig; $u&aelig; di$po$itione $ortiuntur, ita ut ad vici$$itudinem
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9956 ambientis a&euml;ris, mutationemq; temporis, ab ortu in occa$um, &amp;
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9957 hinc in ortum perfect&egrave; per dilatation&etilde; quandam vel con$trictio-
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9958 nem natur&aelig; con$entaneam $e$e accommodent. Talia $unt
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9959 omnia illa, qu&aelig; ad helicis $ive column&aelig; $piralis con$titutionem
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9960 &agrave; natura ordinata $unt, quibus proprium e$t, vt ad minimam ex-
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9961 trin$eci temporis mutationem $e dilatantia per humiditatem in
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9962 circulos agitentur, per $iccitatem ver&ograve; in locum unde digre$$a,
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9963 re$tituantur. Hujus rei e$to $equens experimentum novum.
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9964 <p>Accipe $tipulam illam, qu&aelig; in auena $ylve$tri granum ave-
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9965 n&aelig;jam matur&aelig; circum$tat, cujusmodi in pr&aelig;$enti figura repr&aelig;-
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9966 <MARG>Vide Ico-
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9967 ni$. XIV.</MARG>
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9968 $entant $tipul&aelig; AB &agrave; latere. Hujusmodi $tipulam $i ita $tylo
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9969 alicui TS accommodes, vt vnum extremum T $tylo infigatur,
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9970 <MARG>Fig. V.</MARG>
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9971 altero ver&ograve; extremo S tran$ver$um ex charta confectum in-
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9972 $tar magnetic&aelig; acusindicem RS $u$tineat, $tylus&qacute;ue $it ad Ho-
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9973 <MARG><I>Stipula in
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9974 gyrum acta.</I></MARG>
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9975 rizontem normalis, index ver&ograve; ad eundem parallelus, ut figura
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9976 altera &agrave; latere demon$trat: Videbis non $ine admiratione, ap-
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9977 plicato, $eu leviter affu$o humido, indicem in gyros agitari, ad-
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9978 moto ver&ograve; calore eo$dem gyros, quos fecerat, relegere. Cujus
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9979 quidem rei ratio alia non e$t, ni$i qu&ograve;d humor c&ugrave;m dilatet $ti-
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9980 pulam, illa ver&ograve; ex naturali$ua con$titutione $piraliter torta $it,
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9981 nece$$ari&ograve; indicem impo$itum ex illa dilatatione in gyros agitet.
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9982 Si ver&ograve; ignem aut calorem quemlibet admoveris, $tatim con-
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9983 $tricta $e$e contrahet, &amp; in pri$tinum $itum contorquebit: quam
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9984 contor$ionem contraria priori circulatio $equetur. C&ugrave;m ve-
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9985 r&ograve; h&aelig;c $tipula vel minimas etiam a&euml;ris mutationes $entiat, eas
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9986 index perpetu&ograve; ad ambientis a&euml;ris perpetuam vici$$itudinem
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9987 <pb n=234>
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9988 infallibiliter quoque demon$trabit. Eandem hanc proprieta-
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9989 tem habent omnes ill&aelig; herb&aelig; &amp; plant&aelig;, qu&aelig; incremento $uo
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9990 in $piras $e$e naturaliter contorquent, cujusmodi $unt omnia
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9991 convolvulorum genera, ut bryonia, lupulus, lupinus, aliaque in-
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9992 numera, qu&aelig; vide apud Botanicos. His pr&aelig;mi$$is, ita in$tru-
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9993 mentum conficies.
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9994 <MARG>Vide Ico-
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9995 ni$. XIV.</MARG>
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9996 <p>Fiat Cylindraceum vas longitudine unius palmi, latitu-
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9997 dine dimidii; per cujus fundum axem ligneum AC trajicies,
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9998 <MARG>Fig. V.</MARG>
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9999 in cujus extremo C $tipulam CB infiges; $tipula ver&ograve; fun-
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10000 dum $uperiorem $upergrediens, in extremo $uo B annexum
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10001 habeatindicem, in forma pi$eis, avis, lacert&aelig;, aut alterius cujus-
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10002 vis animalis. Sit pr&aelig;terea ambitus va$is $uperior in quotlibet
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10003 gradus divi$us; habebisque in$trumentum pr&aelig;paratum.
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10004 <MARG><I>Chronome-
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10005 trum humi-
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10006 di &amp; $icci
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10007 gradus
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10008 o$tendens.</I></MARG>
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10009 <p>Hoc in$trumentum ita con$tructum colloca in cubiculum,
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10010 &amp; ob$erva quem in margine gradum o$tendat ro$trum anima-
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diff changeset
10011 lis; quem diligenter nota. Quoties igitur mutatio a&euml;ris in$tite-
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diff changeset
10012 rit, toties mutabit index locum $uum, aliumque gradum demon-
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diff changeset
10013 $trabit. Ita ab ortu u$que ad occa$um continuam quandam vi-
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diff changeset
10014 ci$$itudinem notabis in gradibus juxta caloris inten$ionem, aut
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parents:
diff changeset
10015 remi$$ionem. Si ver&ograve; vno &amp; eodem tempore hoc vas <G>X<*>ono/met<*>on</G>
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parents:
diff changeset
10016 in diver$a conclavia porta veris, videbis, ex mutatione $tipul&aelig;,
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parents:
diff changeset
10017 quotgradibus unum altero humidius $it, aut $iccius. Qu&aelig; resdi-
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diff changeset
10018 ci vix pote$t, quantum &amp; voluptatis in$picientibus, &amp; utilitatis
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parents:
diff changeset
10019 adferat. Vidi ego $&aelig;pi$$im&egrave;, c&ugrave;m in Mu$eo Kircheriano $pe-
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parents:
diff changeset
10020 ctatoribus experientiam pr&aelig;dictam mon$trarem, eos attoni-
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diff changeset
10021 tos h&aelig;rere rei no vitate, nec capere ull&acirc; ratione, qu&icirc; fieret, ut
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parents:
diff changeset
10022 chartacea avicula $tipul&aelig; affixa, affus&acirc; modici$$im&acirc; aqu&acirc;, tot gy-
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parents:
diff changeset
10023 ros, ac tam celeres efficeret. Rem totam de$cribit fus&egrave; Kirche-
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parents:
diff changeset
10024 rus lib. 3. Art. Magnet. par. 2. cap. 3. Pragmat. 1.
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diff changeset
10025 <C>ANNOTATIO I.</C>
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parents:
diff changeset
10026 <C><I>Ventorum $pirantium differentias cogno$cere.</I></C>
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parents:
diff changeset
10027 <MARG><I>Ventorum
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parents:
diff changeset
10028 mutatio-</I></MARG>
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parents:
diff changeset
10029 <p><I>EOdem in$trumento novo ventorum differentias explorare poteris,</I>
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diff changeset
10030 <pb n=235>
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parents:
diff changeset
10031 <I>c&ugrave;m enim diver$i venti, diver$is humidi $iccique gradibus imbuti$int,
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parents:
diff changeset
10032 <MARG>nem depre-
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diff changeset
10033 hendere.</MARG>
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parents:
diff changeset
10034 ejusmodi differentiam facil&egrave; cogno$ces, $i ros&acirc; ventorum nautic&acirc; fron-
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parents:
diff changeset
10035 tem Cylindracei va$is circumdederis: $i enim rhombum venti actu
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parents:
diff changeset
10036 $pirantis indici admoveris, videbis non $ine admiratione, ad mutatio-
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parents:
diff changeset
10037 nem a&euml;ris venti&queacute; &amp; $tipulam $tationem $uam mutare, &amp; $e ei gradui hu-
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casties
parents:
diff changeset
10038 midi vel $icci, quem ventus pr&aelig; $e fert, accommodare. Ita in proprio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
10039 cubiculo, etiam clau$is fene$tris, pixidem naturalem habebis anemodi-
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parents:
diff changeset
10040 cticam, $ive ventorum demon$trativam. Ita Kircherus loco citato,
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parents:
diff changeset
10041 Pragmat.</I> 2.
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diff changeset
10042 <C>ANNOTATIO II.</C>
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parents:
diff changeset
10043 <C><I>Sen$ibiles &amp; contrarios motus eodem in$trumen-
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diff changeset
10044 to novo exhibere.</I></C>
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parents:
diff changeset
10045 <p><I>SI ver&ograve; $pectatoribus $en$ibiles contrarios motus $tipul&aelig; exhibere velis,
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parents:
diff changeset
10046 <MARG>Stipula mo-
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parents:
diff changeset
10047 tus contra-
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parents:
diff changeset
10048 rios exhi-
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parents:
diff changeset
10049 bens.</MARG>
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parents:
diff changeset
10050 in$trumentum leviter cale$cat, &amp; ecce index veluti calore animatus,
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parents:
diff changeset
10051 tres vel quatuor, pro qualitate caloris, circuitus non $ine admiratione
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parents:
diff changeset
10052 intuentium, peraget. Si ver&ograve; $tipulam in pri$tinum locum retorquere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
10053 de$ideras, vas humido $uperaffu$o adornabis: &amp; ecce viam $ive circui-
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parents:
diff changeset
10054 tus, quos fecerat, contrari&acirc; vi&acirc; mox re$umet, donec in pri$tino $tatu con-
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parents:
diff changeset
10055 quie$cat. Adeo ver&ograve; mobilis vel ad minimam alter ationem e$t index,
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parents:
diff changeset
10056 ut $i vel manibus $tringas cylindrum, $tipulam in motum concites.
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casties
parents:
diff changeset
10057 Kircherus loc. cit. Pragm.</I> 3.
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diff changeset
10058 <C>ANNOTATIO III.</C>
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casties
parents:
diff changeset
10059 <C><I>H&aelig;c eadem verticaliter exhibere.</I></C>
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parents:
diff changeset
10060 <p><I>QV&ograve;d $i pr&aelig;dicta omnia verticaliter exhibere de$ideras, nihil aliud
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casties
parents:
diff changeset
10061 agendum e$t, ni$i ut orbem graduum, aut ro$am ventorum un&agrave; cum
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parents:
diff changeset
10062 $tipula, plano cuipiam verticali applices, &amp; eundem videbis effectum.
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casties
parents:
diff changeset
10063 Kircherus loc. cit. Pragm.</I> 4.
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casties
parents:
diff changeset
10064 <pb n=236>
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casties
parents:
diff changeset
10065 <C>ANNOTATIO. IV.</C>
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parents:
diff changeset
10066 <C><I>Aeoli $tatuam in varios motus eodem in$tru-
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casties
parents:
diff changeset
10067 mento concitare.</I></C>
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casties
parents:
diff changeset
10068 <MARG><I>Aeoli $ta-
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casties
parents:
diff changeset
10069 tua auto-
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casties
parents:
diff changeset
10070 mata.</I></MARG>
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casties
parents:
diff changeset
10071 <p><I>SI ver&ograve; $tipul&aelig; impo$ueris $tatuam Aeoli Delphino in$identis, concita-
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casties
parents:
diff changeset
10072 bis ip$um in motus varios, $i $tipul&aelig; aliquid aqu&aelig; affuderis: nam mox
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
10073 ubi humidum $en$erit, vn&agrave;$ecum impo$itam $ibi Aeoli $tatuam tanquam
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parents:
diff changeset
10074 proprio elemento gaudentis, non jucundo min&ugrave;s qu&agrave;m inu$itato $pecta-
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casties
parents:
diff changeset
10075 culo, circumaget. Kircher. loc. tit. Pragm.</I> 5.
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parents:
diff changeset
10076 <C>MACHINA V.</C>
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casties
parents:
diff changeset
10077 <C><I>Cabacus ejiciens, &amp; retrahens eandem aquam.</I></C>
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parents:
diff changeset
10078 <p>TAmet$i h&aelig;c Machinula non habeat mult&ugrave;m aut ingenii, aut
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casties
parents:
diff changeset
10079 delectationis; quia tamen illam $uo fini conducentem addu-
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parents:
diff changeset
10080 cit P. Kircherus lib. 3. Artis Magnet. par. 2. cap. 2. non cen$ui o-
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casties
parents:
diff changeset
10081 mittendam. Sic ergo procede in ip$a con$truenda.
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parents:
diff changeset
10082 <MARG>Vide Ico-
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casties
parents:
diff changeset
10083 ni$. XIV.</MARG>
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parents:
diff changeset
10084 <p>Fiant duo va$a 1.A. ex &aelig;re, 2.B ex vitro, qu&aelig; conjungantur
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casties
parents:
diff changeset
10085 inflexo $iphone C, hac tamen lege, ut vas A $iphonem $ibi ferru-
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casties
parents:
diff changeset
10086 <MARG>Fig. VI.</MARG>
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casties
parents:
diff changeset
10087 minatum ita recipiat, ut a&euml;r intrare nu$quam po$$it, nec $iphon
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casties
parents:
diff changeset
10088 <MARG><I>Cacabus
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casties
parents:
diff changeset
10089 eticiens &amp;
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parents:
diff changeset
10090 retrahens
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casties
parents:
diff changeset
10091 aquam.</I></MARG>
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casties
parents:
diff changeset
10092 va$is fundum tangat. Quo facto, per foramen in operculo fa-
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casties
parents:
diff changeset
10093 ctum, liquore vas A aliqu&oacute;usque repleatur, clau$oque forami-
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parents:
diff changeset
10094 ne $upponatur ip$i ignis; &amp; $tatim a&euml;r rarefactus, ampliorem-
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casties
parents:
diff changeset
10095 que $ibi locum qu&aelig;rens, aquam per $iphonem C ejiciet, &amp; ip$i
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casties
parents:
diff changeset
10096 aqu&aelig; immixtus, atque in vas B vn&agrave; cum aqua receptus, in bul-
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casties
parents:
diff changeset
10097 las abibit, remoto ver&ograve; igne, a&euml;r va$is A paulatim cra$$e$cens,
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casties
parents:
diff changeset
10098 dum minorem locum petit, nec habet, quo aliud $ibi corpus $ub-
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casties
parents:
diff changeset
10099 $tituat, ex laborantis Natur&aelig; nece$$itate aquam va$is B violento
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parents:
diff changeset
10100 motu per $iphonem C attrahet. Vis motiva machin&aelig;, ut ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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10101 dictis patet, oritur ex rarefactione &amp; conden$atione. Lege Ro-
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10102 bertum de Fluctibus in fine operis Meteorologici.
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10103 <pb>
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10104 <CAP><I>Iconismus XV. pag: 237.</I></CAP>
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10105 <FIG>
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10106 <pb n=237>
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10107 <C>MACHINA VI.</C>
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10108 <C><I>Pil&aelig; &AElig;oli&aelig;.</I></C>
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10109 <p>EX &aelig;re, aut cupro, aliov&egrave; metallo forti, quod ignis violen-
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10110 <MARG>Vide Ico-
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10111 ni$mi XV.</MARG>
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10112 tiam $u$tinere po$$it, conficiatur pila intus cava, qu&aelig; ha-
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10113 beat collum vel curvum, vel rectum, perinde e$t, quod in acu-
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10114 <MARG>Fig. VII.</MARG>
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10115 ti$$imum foramen terminetur, prout apparet in figura C, &amp;
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10116 <MARG><I>Aeolopil&aelig;.</I></MARG>
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10117 D. Pote$t etiam huju$modi pila habere capitis humani figuram
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10118 cum ore $tricti$$imo, ut h&icirc;c etiam repr&aelig;$entatum vides. Hu-
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10119 <MARG>Vide Ico-
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10120 ni$mi XVI.</MARG>
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10121 ju$modi pilas imple aliqu&oacute;u$que aqu&acirc; hac indu$tria. Fervefac
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10122 illas nonnihil igni injectas, &amp; fervefactas conijce in aquam fri-
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10123 <MARG>Fig. IX.</MARG>
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10124 gidam; &amp; a&euml;r ignerarefactus int&ugrave;s, in minorem locum reda-
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10125 ctus, c&ugrave;m aliud corpus non habeat, quod in locum de$ertum
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10126 $ub$tituere po$$it, aquam per foramen illud $tricti$$imum ve-
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10127 luti $uctu quodam ad $e attrahet, pilaque hac ratione liquore
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10128 replebitur. Pote$t etiam cochle&acirc; vas &AElig;olium, ad id replen-
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10129 dum aqu&acirc;, aperiri &amp; claudi. Impletis ita aliqu&oacute;u$que aqu&acirc; pi-
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10130 lis, eas $upra carbones, aut ignem collocabis; &amp; ubi a&euml;r vapi-
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10131 dus inclu$us rarefieri inceperit, ingenti impetu ac fragore per
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10132 angu$tias colli elap$us abibit in flatus ac ventos, tantumque
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10133 <MARG><I>Rotam cum
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10134 veru verte-
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10135 re po$$unt.</I></MARG>
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10136 ventum $uppeditabunt pil&aelig;, ut ad veru vertendum is $ufficiat.
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10137 Vt autem po$$it pati ignem pila &AElig;olia, debent ejus partes ($i
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10138 partibus con$tat) $olidari argento.
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10139 <C>ANNOTATIO I.</C>
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10140 <p><I>ROtam cum veru affixo, pilamque Aeoliam con$ervam<*> in <*>
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10141 Kircheriano. Machinam de$cribit. P. Kircherus <*> Magnetica
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10142 Artis par.</I> 2. <I>cap.</I> 4. <I>Experim.</I> 2. <I>Clari$$<*> Patr<*> Norimbergen$is
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10143 in Delitiis. to.</I> 2. <I>par.</I> 8. <I>qu&aelig;$t.</I> 16. <I>&amp; <*>ip$os D<*>chvventerus in
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10144 Delictis $uis, par.</I> 12. <I>qu&aelig;$t.</I> 4. <I>ex Wolfgango Hildebrando tom.</I> 1. <I>Ma-
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10145 gi&aelig; Naturalis fol.</I> 176.
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10146 <pb n=238>
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10147 <C>ANNOTATIO II.</C>
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10148 <MARG><I>Aeoliarum
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10149 pilarum
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10150 v$us va-
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10151 rius.</I></MARG>
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10152 <p><I>OPe &AElig;oliarum pilarum plurim&aelig; Machin&aelig; circumagi po$$unt. Chy-
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10153 mico ver&ograve; negotio, aut fabrili, hoc in$trumentum in carbonibus
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10154 $ufflandis egregium omnino &amp; p&oelig;n&egrave; nece$$arium v$um habet. Multa
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10155 alia ope harum pilarum perfici po$$unt; vt animalium quorumvis vo-
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10156 ces, tonitrua, fluxus maris, motiones invi$&aelig;. Si pil&aelig; orificio borizon-
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10157 taliter erecto $uperponatur tubus aut cylindrus concavus, &amp; tubo aut
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10158 cylindro imponatur globus ligneus, aut metallicus intus cavus; $ub$ul-
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10159 tabit globus, &amp; in a&euml;re h&aelig;rere videbitur. Si pil&aelig; impleantur odoriferis
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10160 aquis, grati$$imum reddent odorem. Si collum efformetur in cornu, in
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10161 tubam, &amp; $imilia $onora in$trumenta, reddent $onum talium in$tru-
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10162 mentorum. Plura ingenio$i excogitabunt. Machinam animat vis ra-
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10163 refactiua. P. Theo&agrave;orus Muretus vocat ip$am fontem a&euml;reum in Pro-
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10164 blemate $uo de fontibus</I> &sect;. 9. <I>alij &AElig;olopilam. Si po$t impletam aqu&acirc;,
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10165 &amp; calefactam &AElig;olopilam, inclines illam ita, vt aqua orificium eius tan-
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10166 gat, erumpet aqua fili in$tarin aximam altitudinem: $i ver&ograve; aqua
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10167 non attingat orificium, efflabit ea $ol&ugrave;m ventum. Meliorem porr&ograve; effe-
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10168 ctum habebit &AElig;olopila in eiaculanda aqua in$tar fontis, $itubus ip$i in-
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10169 datur eo modo, quo apparet in Machina</I> 9. <I>cap.</I> 2. <I>tunc enim a&euml;r rarefa-
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10170 ctus expellet &agrave;quam per tubum.</I>
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10171 <C>MACHINA VII.</C>
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10172 <C><I>Ci$ta &AElig;olia.</I></C>
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10173 <p>ALio modo artificialitor excitari pote$t ventus per aquas &amp;
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10174 a&euml;ris fortem compre$$ionem, eoque mediante multa ex-
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10175 hiberi ludicra, $eria, hac, qu&aelig; $equitur, ratione.
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10176 <MARG>Vide Ico-
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10177 ni$mi. XV.</MARG>
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10178 <p>Sit aqua viva loco A. Hanc fluere permittes in canalem
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10179 AB, con$tructum ex quatuor a$$eribus longis, quotlibet pedum
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10180 <MARG>Fig. VIII.</MARG>
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10181 <I>(qu&ograve; tamen longior fuerit canalis, e&ograve; ventus excitabitur vehementior</I>)
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10182 figura pyramidali, ut mon$trat figura ABC. Inferi&ugrave;s habeat
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10183 vas $ive receptaculum ED, fabricatum ad normam Ci$t&aelig;, cui
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10184 in$eratur canalis. Ex altera parte inferi&ugrave;s item $it aut epi$to-
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10185 <pb n=239>
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10186 mium, aut $iphon inflexus F, ad deplendam continu&ograve; aquam,
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10187 ita ut tantum fer&egrave; interea effluat, quantum influit. Superi&ugrave;s in
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10188 operculo di$ponatur Sy$tema organicum VG, cum epi$tomio
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10189 D. Ad latera canales VX, cum epi$tomio V; &amp; TS, cum e-
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10190 pi$tomio T; &amp; hic tran$eat per corpus avicul&aelig;, &amp; inflatus imi-
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10191 tetur avicul&aelig; vocem. His factis habebis Ci$tam Aeoliam pr&aelig;-
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10192 paratam ad varios v$us.
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10193 <p>Si itaque ventos vehementes excitare velis intra ci$tam, a-
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10194 quam A in canalem AB influere permitte; h&aelig;c enim vehe-
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10195 menti impetu in receptaculum ED pr&aelig;cipitata, a&euml;rem in ip$o
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10196 violentia $umma per apertum epi$tomium V canalis VX pro-
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10197 trudet; nam aqua E pr&aelig;cipitata multam $ecum a&euml;ris portio-
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10198 nem devehit, &amp; ip$a aqua ex vehementi commotione atque
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10199 colli$ione attrita diminutaque in a&euml;rem mutatur, ac proinde
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10200 nunquam in receptaculo DE deerit a&euml;ris ingens agitatio. Ven-
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10201 to hac ratione intra ci$tam excitato, poteris per hanc Machi-
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10202 nam, aperto epi$tomio V, $ufflare ignem; vertere rotas; Ange-
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10203 lorum, Sanctorum, volucrum figuras ex levi materia effictas,
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10204 globos chartaceos, ligneos, metallicos concavos, tubo, vitre&aelig;v&egrave;
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10205 $ph&aelig;r&aelig; vento pervi&aelig; $uperpo$itos, aliaque corpora ad natur&aelig;
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10206 exemplar in medio a&euml;re $u$pendere; nullo alio, ni$i $ola a&euml;ris
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10207 commoti vehementi&acirc; fulcita. Aperto ver&ograve; epi$tomio T po-
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10208 teris avicularum, tubarum, cornuum $onos ac voces edere. A-
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10209 perto denique epi$tomio D, poteris hydraulicum per$onare or-
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10210 ganum, admi$$o vento intra anemothecam $eu ventorum ci-
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10211 $tam, in quam fi$tularum orificia de$inunt. Innumera alia Phy-
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10212 $ica, aut Mathematica <G>qa/umata</G> $eu miracula, hac arte exhiberi
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10213 po$$unt; qu&aelig; omnia indu$trij Artificis di$po$itioni relinquimus.
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10214 <C>MACHINA VIII.</C>
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10215 <C><I>&AElig;olus ventum efflans.</I></C>
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10216 <p>GLobum fac ferreum intus cavum, collum habentem in os
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10217 <MARG>Vide Ico-
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10218 ni$mi XVI.</MARG>
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10219 $tricti$$imum de$inens; quales $upr&agrave; de$erip$imus Aeolias pi-
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10220 <MARG>Fig. IX.</MARG>