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DESpecs 2.0 Autumn 2009
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Thu, 02 May 2013 11:14:40 +0200
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1 <pb>
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2 <head>ARISTOTELIS
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3 MECHANICA
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4 Gr&aelig;ca, emendata, Latina facta, &amp;
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5 Commentariis illu$trata.
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6 A B
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7 <I>HENRICO MONANTHOLIO
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8 Medico, &amp; Mathematicarum artium
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9 Profe$$ore Regio.</I>
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10 A D
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11 HENRICVM IIII. GALLI&AElig; &amp; NAVARR&AElig;
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12 Regem Chri$tiani$simum.</head>
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13 <fig>
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14 <head>PARISIIS,
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15 Apud <*>EMIAM PERIER via Iacob&aelig;a, $ub $igno Bellerophontis.</head>
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16 <head>M. D. XCIX.
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17 <I>CUM PRIVILEGIO REGIS.</I></head>
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18 <pb>
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19 <fig>
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20 <head>HENRICO IIII.
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21 GALLI&AElig; ET NAVARR&AElig;
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22 REGI CHRISTIANISSIMO.
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23 S. P. D.</head>
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24 <P>Ecce maie$tati tu&aelig;,
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25 Rex Chri$tiani$$ime,
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26 nouum fruct&utilde;, &amp; tan-
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27 quam primitias tu&aelig;&agrave;te
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28 nuper re$titut&aelig; Acade-
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29 mi&aelig;, Mechanica Ari-
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30 $totelis philo$ophorum principis Gr&ecedil;-
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31 ca, emendata, Latina facta, &amp; commen-
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32 tariis illu$trata offero, dico, con$ecro.
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33 Noli, ob$ecrote, ad Mechanicorum ti-
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34 tulum munus hoc, qua$i minus inge-
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35 nuum, nec$atis liberaliingenio, nedum
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36 imperatorio &amp; regali dignum, $ubhor-
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37 re$cere, &amp; ex prima i$ta fr&otilde;te de$picere.
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38 Fer&utilde;t Platonem, quo philo$ophorum
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39 <foot>&atilde; ij</foot>
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40 <pb>
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41 nemo de Deo diuinius, neq; $anctius s&etilde;-
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42 $it, c&utilde;interrogaretur, quid ageret Deus,
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43 re$pondi$$e <G>a)eigewmebei_n.</G> Hoc verbum Lati-
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44 n&egrave; expre$$um $ignificat. A$$idu&egrave; terram
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45 metiri. Qu&aelig;actio $i$impliciter $pecte-
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46 tur, &amp;&agrave; Geometri&ecedil; nomine ridiculo, vt
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47 alibi appellat Plato, exp&etilde;datur, ridicula,
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48 &amp; Dei maie$tate indigna iudicabitur.
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49 Sed $i ex ip$ius artis viribus, &amp; magnifi-
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50 cis promi$$is illud <G>a)eigewmebei_n</G> &aelig;$timetur,
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51 quode$t vniuer$i qu&atilde;tumuis fus&egrave; lat&eacute;q;
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52 patentis, corpor&utilde; in eo omnium, $uper-
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53 ficierum, linearum, omni&uacute;mq; men$u-
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54 rabilium m&etilde;$uram ratione, proportio-
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55 ne, $imilitudine con$tituere, de$ignare,
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56 permetiri: actio cert&egrave; erit tant&ograve; priore
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57 nobilior: quant&ograve; totum finit&utilde; quidem,
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58 $ed infinito per$imile exigua, &amp; infima
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59 $ui parte e$t nobilius, &amp; excellentius: &amp;
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60 qui h&atilde;c actionem accurate ponderibus
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61 librarit$uis, nequaqu&atilde; indignam, circa
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62 quam Deus ver$etur, &amp; $e$e occupet, iu-
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63 dicabit. Verumenimuer&ograve; $iad illud <G>a)eigew-
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64 mebei_n</G> addi$$et Plato, <G>kai\ a)eimhxana_<+>ai,</G> luculen-
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65 <pb>
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66 tius mult&ograve; meo iudicio, &amp; diuin&aelig; maie-
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67 $tati congruentius, atq; magnificentius
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68 re$pondi$$et. Quid enim e$t Mundum
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69 huncex nihilo condidi$$e: $uis omnibus
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70 numeris ab$olui$$e: ponderibus vndiq;
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71 $uis &aelig;quilibra$$e: longitudine, latitudi-
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72 ne, altitudine, in omni habitudine, &amp;
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73 re$pectu commen$uraui$$e: eund&eacute;m-
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74 que in eodem $tatu &amp; perfectione a$$i-
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75 du&ograve; retinere, $tabilire, con$eruare, quam
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76 <G>a)eigewmetrei_n kai\ a)eimhxana_<+>ai?</G> Mundus enim
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77 hic machina e$t, &amp; quidem machina-
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78 rum maxima, efficaci$$ima, firmi$$ima,
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79 formo$i$$ima. An non omnia corpora
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80 complectitur, quod eius imm&etilde;$itatem
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81 arguit? An n&otilde; ad omnium mutabilium
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82 lationem, alterationem, generationem,
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83 auctionem, con$eruationem, &amp; dura-
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84 tion&etilde;, vt Dei $ui auctoris in$trum&etilde;tum
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85 concurrit, quod eius vim, &amp; efficaciam
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86 o$tendit? An non quinquies mille quin-
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87 g&etilde;tos $exaginta &amp; vn&utilde; annos, quoad $ui
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88 quinq; partes primas, &amp; $implices, per-
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89 $euerat omnis mutationis expers: quod
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90 <foot>&atilde; iij</foot>
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91 <pb>
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92 eius firmitat&etilde; plu$quam adamantinam
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93 te$tatur? An non huius totius ad omnes
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94 $uas partes, &amp; omnium $uar&utilde; partium,
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95 particularum que cum inter$e, tum ad
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96 ip$um $ummus e$t con$en$us, con$pira-
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97 tio $umma, omnium hominum oculis
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98 &amp; menti iucun di$sima $ymmetria, pro-
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99 portio, &aelig;quabilitas, vn&agrave; cum totius fi-
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100 gura pulcherrima, &amp; conuenienti$$ima,
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101 qu&aelig; vnica e$t $uperficie terminata pari-
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102 bus ab vno puncto vndique di$tante
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103 interuallis, &amp; cum tot a$tror&utilde; tan quam
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104 gemmarum pretio$i$$imarum h&icirc;c ill&icirc;c
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105 in eminentiori, &amp; apparentiori $ui par-
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106 te collocatorum perenniluce, qua qua-
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107 litate nec formo$ior, nec homin&utilde; ocu-
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108 lis gratior, nec v$ibus humanis vtilior
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109 apparere pote$t: quod eius pulchritudi-
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110 nem vbique o$tentat, &amp; mirabiles $ui
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111 ip$i^{9} amores excitat? Deus igitur, pr&ecedil;ter-
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112 qu&atilde; quod e$t accurati$$imus, a$$iduu$q;
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113 Geometra, diuini Platonis $ent&etilde;tia, e$t
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114 etiam no$tra, &amp; operum tot magnifi-
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115 corum euidentia, $apienti$$imus, opti-
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116 <pb>
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117 mus, potenti$$imus <G>mhxanao\s,</G> &amp; <G>mhxanepoio\s.</G>
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118 Ip$eidem, qui <G>makro/kosmon</G> magnum mun-
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119 dum fecit, fecit &amp; <G>mikro/kosmon</G> paru&utilde; mun-
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120 dum, hominem $cilicet: &amp; fecit ad ima-
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121 ginem $uam, atque vt $e imitaretur beni-
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122 gni$$ima liberalitate impertitus e$t ei
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123 mentem, qu&aelig; e$$et <G>te/xnh te/xnwn,</G> ars artium,
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124 &amp; manum, qu&aelig; e$$et <G>o)/rganono)rga/nwn,</G> in$tru-
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125 mentum in$trumentorum, quibus ho-
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126 mo, quem volebat e$$e $apienti$$imum
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127 animalium, machinas &amp; in$trumenta
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128 alia fabricaretur, &amp; iis adiutus $olus, vel
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129 cum paucis onera quantumuis ingentia
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130 dimoueret, deduceret, quo vellet collo-
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131 caret: vrbes, t&etilde;pla, palatia, collegia, por-
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132 ticus, pontes, domos &aelig;dificaret, perde-
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133 ret, re$tauraret, con$eruaret: terram ver-
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134 teret, in terr&aelig; vi$cera de$cenderet, terr&aelig;
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135 campos, valles, montes bigis, quadrigis
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136 peragraret: maria omnia, fluuios remis,
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137 velis tranaret: ventis imperaret: anima-
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138 lium genus omne $ibi $ubiiceret: tantas
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139 deniq;, &amp; tam multas resfaceret, vt eas,
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140 ni$i quotidie fieri, &amp; factas e$$e $&aelig;pius
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141 <pb>
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142 alij homines $pectarent, omnin&ograve; fieri
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143 non po$$e iurarent. Iidem cum facta-
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144 rum rationes, virium que in in$trumen-
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145 tis, &amp; machinis adhibitis cau$as non in-
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146 telligunt, miracula e$$e pleno ore pro-
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147 clamant. Vndefort&egrave;illud Martialis.</P>
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148 <P><I>Barbara Pyramidum $ileat miracula
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149 Memphis.</I></P>
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150 <P>Tum $eptem illa, qu&aelig; vulg&ograve; iactantur
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151 orbis miracula. Qu&aelig; profect&ograve; $apien-
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152 ter Deus homini dedit &amp; po$$e, &amp; fa-
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153 bricari: ne mundum hunc &agrave;$e c&otilde;ditum,
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154 con$eruatum, con$eruandum, quandiu
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155 voluerit, hominibus foret incredibile.
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156 His enim tantis, &amp; tam multis qu&aelig;ab
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157 homine <G>mhxanqpomtikw_|</G> manife$t&egrave; &amp; in om-
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158 nium oculis fiunt, &amp; con$eruantur, fa-
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159 cillimum e$t, qui$quis mentem habet,
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160 credere, cogno$cere, complecti, etiam $i
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161 cum fieret, abfuerit, mundum h&utilde;c, ma-
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162 xim&utilde; cert&egrave; operum opus, factum e$$e,
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163 &amp; con$eruari: non autem ab vllo homi-
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164 ne, $ed ab alio <G>mhxanopoihtikw_|</G> tant&ograve; homi-
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165 nem pr&aelig;$tantia, $apientia, potentia, im&ograve;
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166 <foot>infinit&egrave;</foot>
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167 <pb>
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168 infinit&egrave; $uperante: quant&ograve; h&aelig;c mundi
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169 machina omnium hominum etiam Ar-
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170 chimedeorum machinas $uperat, atque
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171 antecellit. Hic autem quis pote$t e$$e
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172 alius, pr&aelig;terquam is, quem Deum om-
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173 nes appellam^{9}. Sed &amp; ex eo fit perquam
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174 credibile, ad huius magn&aelig; molis archi-
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175 tecturam architect&utilde; $uum nihil egu&iuml;$$e
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176 ferramentis, vecte, cuneis, trochleis, axe
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177 in peritrochio, molitione, conatu, qu&aelig;
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178 impius i$te Velleius ex Epicuri $enten-
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179 tia apud Ciceronem di$putans $tult&egrave; re-
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180 quirebat. In quo enim immen$usille au-
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181 thor, factorque hominis, in proprij
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182 operis fabricahomini ip$i pr&aelig;polleret,
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183 $i machinis, &amp; in$trumentis, materia, &amp;
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184 molimine, vt homo, indigeret? quan-
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185 quam po$t $emel &agrave; $e mundum ex nihilo
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186 creatum, ille liberrimum $emper, &amp; po-
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187 tenti$$imum agens, cum his adiunctis,
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188 &amp; $ine his quando, quotie$que vult, ni-
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189 hilominus operatur. Qu&aelig; $i rect&egrave; &amp; ve-
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190 r&egrave; Deo, quant&utilde; fas e$t homini, dicta
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191 $unt: ecquidiam $upere$t, Rex Chri$tia-
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192 <foot>&etilde;</foot>
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193 <pb>
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194 ni$$ime, quapropter ab hoc munere vt
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195 vili abhorreas, &amp; ip$e reformidem, licet
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196 Mechanicorum titul&utilde; in fronti$picio
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197 gerat, hoc ade&ograve; in$igne opus ab Ari-
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198 $totele profectum, vtile, iuc&utilde;dum, $ub-
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199 tili$$im&egrave; tractatum: $ed temporum iniu-
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200 ria multis mendis f&oelig;dum, ob$curum,
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201 captu difficile, nunc opera no$tra niti-
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202 dum, clarum, &amp; captu facile $anct&aelig; ma-
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203 ie$tati tu&aelig; dicare, ac c&otilde;$ecrare? Ad quod
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204 faciendum in$uper me inuitauit cau$a
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205 alia, ni$i me fallit animus, iu$ti$$ima.
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206 Qui$quis enim duas res omnium, qu&aelig;
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207 $untin vita homin&utilde;, maximas perfecit,
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208 quar&uacute;mque temporibus atque fabricis
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209 $ummus e$t &amp; frequenti$$imus machi-
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210 narum, &amp; in$trum&etilde;torum v$us: ille non
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211 pote$t machinamentorum, &amp; in$tru-
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212 m&etilde;torum formis, rationibus, adinuen-
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213 tionibus, &amp; virium eor&utilde; admirabilium,
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214 incredibiliumq; cau$is, ac principiis per
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215 ceptis non magno pere delectari, atque
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216 cos, qui de iis $ubtiliter, &amp; ingeniose tra-
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217 ctarint, libros oblatos non grati$$im&egrave;
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218 <pb>
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219 excipere: tu, Rex potenti$$ime, duas il-
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220 las res perfeci$ti, bellum $cilicet, &amp; pa-
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221 cem. In vtriu$que tempore a$$iduus ma-
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222 chinarum, &amp; in$trumentorum v$us, at-
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223 que opportunitas. Tunam que bellum
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224 (h&icirc;c me patiare, rex potenti$$ime, in me-
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225 ritas aliquot tuas laudes paul&ograve; amplius,
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226 non extra rem tamen excurrere, &amp; ex-
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227 patiari.) Tu inquam bellum (&ocirc; onus
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228 <G>kolo<+>ikw/ta<+>on,</G> graui$$imum cert&egrave;, &amp; num-
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229 quam $i fieri po$$et, commouendum:
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230 vbi, vbitamen nece$$arium e$t, mouen-
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231 dum, $u$cipiendum, gerendum) ad-
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232 uer$us dome$ticos in$anientes, rebel-
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233 le$que: aduer$us extraneos intraneo-
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234 rum tumultu $uperbientes, ferocien-
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235 tes, &amp; occa$ionem regni inuadendi
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236 opportuni$$imam nacto&scedil; &amp; nihil non
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237 inde $ibi polliciti&scedil; animo plu$quam
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238 Herculeo $u$cepi$ti: hoc ip$um, li-
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239 cet omnium bellorum, quorum hi-
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240 $torias, &amp; annales no$tros legens me-
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241 mini$$e mihi videor, acerbi$$imum,
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242 <foot>&etilde; ij</foot>
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243 <pb>
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244 pernitio$i$$imum, exitio$i$$imumque,
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245 plurium intus &amp; foris contentione, &amp;
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246 c&otilde;iuratione vi$um in$uperabile, moui-
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247 $ti, ge$$i$ti, $uperaui$ti. Quomodo aut&etilde;?
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248 dicam pro meo $en$u: tu melius. Omnes
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249 omnium tuarum prouinciarum $ubie-
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250 ctos rebelles, partim armis, qu&aelig; fuit tua
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251 in pugnando terribilis $emper inimicis
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252 &amp; audacia, &amp; fortitudo: partim auro ex
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253 propriis eorum fodinis effo$$o, recto
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254 $an&egrave; iudicio, qu&aelig; tua fuit $umma cum
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255 prudentia iu$ticia, vtin po$terum $ciant
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256 $uis &agrave; Deo datis obtemperare regibus,
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257 neque vnquam ab illorum contrariis
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258 $tare partibus: partim benignitate, &amp;
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259 man$uetudine, qu&aelig; te $uperis pulcher-
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260 rima &aelig;quat virtus.</P>
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261 <P><I>Nam</I> (vt ait grauis vnus &egrave; po&euml;tis) <I>cum
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262 vincamur in omni</I></P>
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263 <P><I>Munere: $ola Deos &aelig;quat clementia nobis.</I></P>
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264 <P>Ad concordiam inter $e, &amp; tecum $er-
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265 uandam: ad beneuolentiam ergate pr&aelig;-
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266 $tandam, obedientiam, fidelitatem rede<*>
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267 gi$ti. Extraneos ver&ograve; longo bello: bre-
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268 <pb>
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269 uioritamen, quam $perare, aut promit-
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270 tere nobis au$i fuerimus, fractos, $&aelig;pe
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271 Marte aperto, &amp; manibus vtrinq; con-
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272 $ertis victos, fugatos, tandem procul
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273 ab omnibus Galli&aelig; finibus reieci$ti: &amp;
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274 quan quam ante&agrave; $emperab omni pacis
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275 conditione alieni$$imos, vt pacem ip$i
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276 appeterent, &amp; peterent co&euml;gi$ti. Quid
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277 tuilico? Quandoquidem pax victo $em-
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278 per $it nece$$aria, &amp; victoriea, qu&aelig; nihil
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279 po$t $e ferat in$idiarum, $emper expe-
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280 diat: $tatim eius ineund&aelig;, &amp; cum po-
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281 t&etilde;ti$$imo ho$te Philippo Hi$paniarum
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282 rege conciliand&aelig; occa$ion&etilde; qu&aelig;$itam,
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283 &amp; oblatam &agrave; Clemente VIII. pontifice
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284 $ummo, ver&egrave; vtriu$que gentis commu-
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285 ni par&etilde;te clementi$$imo, per $uum lega-
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286 tum Alexandrum de Medicis Cardina-
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287 lem, &amp; Archiepi$copum Florentinum,
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288 qui huic paci tractand&aelig;, conficiend&aelig;,
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289 &amp; ni$i perfectare n&otilde; relinquend&aelig; $em-
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290 per interfuit, &amp; qua$i pr&aelig;fuit, arripui-
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291 $ti. Duobus etuo $anctiore con$ilio de-
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292 lectis con$iliariis tibi, id e$t patri&aelig;
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293 <foot>&etilde; iij</foot>
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294 <pb>
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295 $aluti addicti$$imis (permittes bona tua
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296 venia, Rex clementi$$ime, honoris &amp;
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297 grat&aelig; erga viros tam bene de te, totaque
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298 Gallia meritos memori&aelig; no$tr&aelig; gratia,
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299 h&icirc;c illos nominari) Pomponio Belle-
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300 ureo &amp; Nicolao Brulartio, toto tant&aelig;
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301 molis negotio perte commi$$o, pacem
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302 tibi, tuis, toti Galli&aelig; honorificenti$$i-
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303 mam conciliaui$ti: pacem inquam ab-
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304 $entem, &amp; ad multos annos exulem re-
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305 duxi$ti: iureiurando $olemni$$imo, $i-
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diff changeset
306 gillis vtriu$que regni confirmatam per
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diff changeset
307 pr&aelig;cones tuos proclamari iu$$i$ti: arma
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diff changeset
308 de manibus militum, qu&aelig; erant $umpta
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diff changeset
309 pro te, &amp; contra te $u$tuli$ti: iam tuo-
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parents:
diff changeset
310 rum in ligones, aratrorum dentes, fal-
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diff changeset
311 ces, vngues ferreos, vectes, trochleas,
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diff changeset
312 malleos, aliaque in$trumenta vit&aelig; mi-
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diff changeset
313 tioris, &amp; pacific&aelig; conuerti$ti: iam arua
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diff changeset
314 feracis Galli&aelig; recoli c&oelig;pta, vbique re-
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parents:
diff changeset
315 uire$cunt: l&aelig;t&aelig; $egetes, agri vberes cul-
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diff changeset
316 mis ari$ti$que luxuriant: ex &aelig;dificijs $e-
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diff changeset
317 miruta re$taurantur, dirutorum loco
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diff changeset
318 noua $tatuuntur: leges liber&egrave; pronun-
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diff changeset
319 <pb>
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parents:
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320 ciant: iu$ticia libritenens fide zygo$tati-
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321 ca omnia iudicat: linguarum &amp; bona-
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diff changeset
322 rum arti&utilde;, te earum re$tauratore, &amp; vin-
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parents:
diff changeset
323 dice &amp; cu$tode, eruditio in Academi&atilde;
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parents:
diff changeset
324 reuer$a frequentatur: ingenia, qu&aelig; in ea
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parents:
diff changeset
325 $unt pr&aelig;clara, in variarum artium iam
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parents:
diff changeset
326 redundant elegantiam, f&oelig;tu$que $uos
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parents:
diff changeset
327 producere ge$tiunt: mercatura denique
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parents:
diff changeset
328 tut&ograve; vagatur, peregrinatur, ru$ticatur.
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parents:
diff changeset
329 Harum duarum rerum belli, &amp; pacis
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330 magnitudinem, difficultat&etilde;, impedim&etilde;-
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331 ta $oli c&otilde;plectentur, quitam di$$ociatas
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casties
parents:
diff changeset
332 Gallorum &amp; Hi$panorum vol&utilde;tates: t&atilde;
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casties
parents:
diff changeset
333 multa, &amp; multiplici $imultat&utilde; atq; odio-
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parents:
diff changeset
334 rum crudelitate $auciatas: tot mordaci-
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parents:
diff changeset
335 bus dictis, $criptis, factis in $e$e mutuis
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diff changeset
336 exulceratas: tam deiecta, atq; perturbata
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diff changeset
337 omnia ip$i $uis oculis viderunt. N&atilde; qui
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parents:
diff changeset
338 n&otilde; vider&utilde;t, licet ab alijs recitata audi&atilde;t,
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parents:
diff changeset
339 aut monum&etilde;tis c&otilde;m&etilde;data leg&atilde;t, non ar-
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parents:
diff changeset
340 bitror tam&etilde; vllius vlla quant&utilde;uis elegan-
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parents:
diff changeset
341 ti, &amp; probabili narratione adduci po$$e,
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parents:
diff changeset
342 vt cred&atilde;t, quando quid&etilde; nos, qui h&aelig;c vi-
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parents:
diff changeset
343 dimus, $i qu&atilde;do in memori&atilde;reducimus,
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parents:
diff changeset
344 <pb>
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345 mera $omnia videre nobis videmur:
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346 Quid igitur ab$urdum? quidve inele-
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diff changeset
347 gans facimus? $i tibi qui cum tanta glo-
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parents:
diff changeset
348 ria h&aelig;c duo perfeceris, de pacis &amp; belli
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parents:
diff changeset
349 in$trumentis, vel potius de horum in-
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parents:
diff changeset
350 $trumentorum viribus, &amp; virium cau-
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parents:
diff changeset
351 $is, &amp;, quod admirabilius, vno ear&utilde; prin
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parents:
diff changeset
352 cipio, quod e$t circulus, librum offeri-
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353 mus? qui te pr&aelig;terea videamus magni-
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parents:
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354 ficis &aelig;dificiorum $ub$tructionibus, ita
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parents:
diff changeset
355 delectari, vt nihil, n&otilde; dicam nunc, cum
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parents:
diff changeset
356 $int h&aelig;c pacis opera: $ed etiam in ip$o
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parents:
diff changeset
357 belli flagranti$$imiardore, ab ijs auocare
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358 aut retardare potuerit. Porticus diues,
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parents:
diff changeset
359 $uperba, amu$$itata, qu&aelig; &agrave; tua Lupara
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parents:
diff changeset
360 ad tuas &aelig;des lateritias te, tuo$q; delatura
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parents:
diff changeset
361 &amp; illinc ad vrb&etilde; de$uper ventura, te in-
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parents:
diff changeset
362 u&etilde;tore, &amp; excogitatore, tuis $umptibus
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parents:
diff changeset
363 extruitur: &AElig;dium lateritiarum cochlea-
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parents:
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364 ri$cal&ecedil;, octauo orbis miraculo coloph&otilde;
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parents:
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365 impo$itus: Ca$tella Fontisbellaquei,
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parents:
diff changeset
366 Sanctogermani, Moncelli colophoni
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casties
parents:
diff changeset
367 $uo proxima, nuper Reuerendi$$imo
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parents:
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368 Legato hinc in Italiam redeunti, nobi
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369 <foot>li$$imi</foot>
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370 <pb>
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371 li$$imis illis Hi$panis, Flandri$que, qui
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parents:
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372 ad pacem iureiurando confirmandam
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parents:
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373 aduenerant, cum tua incredibili vo-
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casties
parents:
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374 luptate o$tentata, &amp; eorum maiori ad-
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parents:
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375 miratione ab illis $pectata luculenter te-
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casties
parents:
diff changeset
376 $tantur, atq; h&atilde;c animi tui delectation&etilde;
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parents:
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377 rege magnifico digni$$im&atilde; declararunt,
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378 &amp; vi$uris, quotquot venient in po$te-
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379 rum, declarabunt. Spemque adferunt
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parents:
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380 n&otilde;mediocrem, te, pro tuorum in Aca-
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parents:
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381 demia profe$$orum collegio, quale edi-
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382 ta pro eo oratione &agrave; me de$criptum
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383 e$t: aut ab alio magnificentius de$cribe-
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384 tur, &aelig;dificando, aliquandoe$$e cogitatu-
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385 rum, &amp; perfecturum. H&aelig;c igitur mihi
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386 per$ua$er&utilde;t, ne quicquam vererer opus
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387 hoc, ratione opell&aelig; quali$cunq; no$tr&aelig;,
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388 exiguum $cio: $ed ratione authoris $ui,
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389 Ari$totelis, magnum, $anct&aelig; maie$tati
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390 tu&aelig; co$ecrare. Quod n&utilde;c igitur tam lu-
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391 benter facio: quam Deum optim&utilde; ma-
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392 ximum obnix&egrave; precor, vt vitam tibi
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393 impertiat, in duas annorum quadrage-
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394 narias ita partitam vt $ecundam, quam
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395 <foot>&itilde;</foot>
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396 <pb>
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397 belli reliquiis, &amp; pace in ea confectis f&oelig;-
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398 liciter ingre$$us es, tot rebus pacis tam
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399 magnificis, &amp; glorio$is adhuc aggre-
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400 diundis, &amp; perficiundis con$umas: quot
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401 in rebus belli admirabilibus, atque in-
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402 credibilibus perfectis primam con$um-
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403 p$i$ti. Hoc, $i tibi, Deo ita volente, eue-
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404 niat, haud profect&ograve; verendum erit di-
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405 cere, &amp; palam, quod omnium hi$tori&aelig;
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406 conte$tabuntur, proclamare, te rer&utilde; ad-
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407 mirabili$$imarum regem, &amp; regum, qui
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408 hactenus in quacunque orbis regione
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409 regnauere, fore pr&aelig;$tanti$$imum, &amp; ad-
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410 mirabili$$imum. Vale, &amp; duas illas per-
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411 optatas annorum quadragenarias tibi,
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412 &amp; nobis $ic viue. Scriptum Luteti&aelig; eo
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413 die, quo quinquennio ante &agrave; te ciui-
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414 tas Hi$panis erepta, &amp; $uis ciuibus f&oelig;li-
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415 citer e$t re$tituta.</P>
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416 <P>MAIESTATIS</P>
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417 <P>Humillimus $eruus</P>
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418 <P>HENRICVS MONANTHOLIVS.</P>
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419 <pb>
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420 <head>A D
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421 HENRICVM IIII.
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422 GALLI&AElig; ET NAVARR&AElig;
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423 Regem Chri$tiani$$imum.</head>
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424 <P><I>Pacatos fecit tua nos victoria ciues.
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425 Inde caput Laurus: digitos ornabit Oliua
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426 Semper, &amp; ingentem per vtr&acirc;que volabis Olympum.</I></P>
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427 <head>THEODORICVS MONANTHOLII filius.</head>
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428 <head>De libro <G><+> mhxanikw_n,</G> Ari$totele,
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429 &amp; Monantholio.</head>
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430 <P><I>Inter Ari$totelis libros $ubtilior i$to</I></P>
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431 <P><I>Nullus</I> <G>*mhxanikw_n,</G> <I>vtiliorque fuit.</I></P>
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432 <P><I>Sed mendis f&oelig;dus merito $ine honore iacebat,</I></P>
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433 <P><I>Non authore $uo dignus Aristotele.</I></P>
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434 <P><I>Lectus erat nulli, nulli intellectus agebat</I></P>
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435 <P><I>Vitam cum blattis, muribus, &amp; tineis.</I></P>
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436 <P><I>Liber ab his, captu facilis, bene comptus en exit</I></P>
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437 <P><I>In lucem, vigilis luce Monantholij.</I></P>
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438 <P><I>Sic dat Ari$toteli vitam, clar&eacute;que vici&szlig;ine</I></P>
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439 <P><I>Accipit ex ip$o, quam dedit ille, parem.</I></P>
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440 <P><I>Vna dies ambos $eruabit, &amp; eximet &aelig;uo,</I></P>
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441 <P><I>Ambor&uacute;mque $imul fama $uper$tes erit.</I></P>
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442 <P>RICHARDVS MERCES</P>
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443 <P>Doct. Med. Pari$.</P>
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444 <foot>&itilde; ij</foot>
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445 <pb>
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446 <fig>
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447 <head>PRAEFATIO IN
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448 MECHANICA ARISTO-
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449 TELIS, AD LECTOREM.</head>
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450 <P>Philosophari in vno rerum quo-
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451 libet genere, c&atilde;dide lector, res e$t per-
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452 quam dulcis. Philo$ophari appello re-
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453 rum e$$entiam, cau$as, proprietates,
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454 facultates inue$tigare, &amp; inuento rum
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455 qu&aelig; vtilia $unt in opus ad vit&aelig; homi-
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456 num f&oelig;licius deg&etilde;d&aelig; commoda edu-
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457 cere. Ita enim demum ver&egrave; ille erit, vt ait po&euml;ta,</P>
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458 <P><I>F&oelig;lix, qui poterit rerum cogno$cere cau$as.</I></P>
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459 <P>Alio qui inutilia, vel vtilia: $ed inutiliter id e$t $ine actio-
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460 ne vel opere, qu&ecedil; fines $unt omnis c&otilde;templationis vtilis,
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461 contemplari, &amp; in his philo$ophando plu$quam paucis
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462 commorari, parum omnino, aut nihil f&oelig;licitatis in hac
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463 rerum vniuer$itate habere arbitror. Verumenimuer&ograve; re-
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464 rum quia propemodum e$t infinita multitudo, licet ani-
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465 mus hominis (quod e$t ab Ari$totele dictum, &amp; ita e$t,
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466 pote$tate cogno$cendi, &amp; va$is in$tar $pirituales rerum
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467 formas recipiendi) $it omnia: vix tamen ita qui$quam
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468 bene animo con$titutus fuit, vt ip$um ad omnia genera
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469 appellens in $ingulis excelleret, &amp; magnum quid con$e-
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470 queretur: vt cuique tamen contigit maior: ita quo que
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471 maiora con$ecutus e$$e legitur. Pythagoram, Hippocra-
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472 tem medicum, Platonem, Ari$totelem, Theophra$tum,
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473 Galenum $i non omnia tenui$$e: quamplurima cert&egrave; &amp;
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474 aliorum libri, &amp; commentarij ab illis po$teritati relicti
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475 copios&egrave; loquuntur. Sed quibus non ita magnus vel fuit,
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476 <pb>
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477 vel e$t animus, illi vel propen$ione naturali, vel iudicio,
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478 vel ca$u aliquo de multis nonnulla $eligunt, in quibus
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479 tempus &amp; operam non $ine v$ura collocent $uam. Om-
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diff changeset
480 nium, qu&aelig; $unt, genera quatuor e$$e reperio, $ingula cer-
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diff changeset
481 t&egrave; digni$$ima hominis contemplatione. Diuina, c&oelig;le-
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482 $tia, elementaria, artificialia. In quorum $ingulis multos
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483 excellui$$e clarius e$t: quam vt cuiu$quam nominis com-
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484 memoratione opus $it. Et cert&egrave; diuina $unt eiu$modi, vt
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485 licet ad corum intuitum, $icut ad Solis ve$pertilionis: Ita
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486 mentis no$tr&aelig; oculi caligent, $i quis tamen diuinitatis
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487 eti&atilde; exiguus repente, &amp; $ubinde radius recipiatur &amp; ocu-
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488 los $ubintret, plus voluptatis menti adferat: quam alio-
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489 rum quorumlibet plena cognitio. Qu&aelig; vna res adiuncto
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490 contemplationis diuinorum fine (quem Dei cognitio-
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491 nem, amorem, &amp; cultum arbitror) fecit, vt philo$ophi&aelig;
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492 diuinorum quamplurimi homines totos $e$e dediderint,
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diff changeset
493 dedantque quotidie. Huic philo$ophi&aelig; proxima e$t c&oelig;-
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494 le$tium &amp; elementariorum id e$t <G>tou_ maxroxosmou_</G> mundi
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495 $cilicet huius, cuius $ine machinis fabrica in $ub$tantia,
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496 magnitudine, figura, numero, $itu, connexione, faculta-
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497 tibus, &amp; v$u partium omni&utilde; $ui fabricatoris bonitatem,
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498 $apientiam, pot&etilde;tiam, $umma i$th&aelig;c omnia arguit, &amp; de-
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499 mon$trat. Luculenti$$im&egrave; in$uper o$tendit Deum, &amp; eius
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500 admini$tram naturam $ine actione, $ine opere nu$quam
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501 e$$e. Mult&ograve; de his plura: quam de diuinis philo$ophando
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502 homines con$ecuti $unt, neq; $ine incredibili animorum
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503 $uorum voluptate, &amp; innumerabili ad v$us humanos vti-
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504 litate. Nam cum h&aelig;c ita e$$e homines depreh&etilde;di$$ent, vt
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505 ad mult&ograve; plures v$us, quam ad quos $p&otilde;t&egrave; nata e$$e com-
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parents:
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506 perirentur, tr&atilde;sferri &amp; aptati po$$ent, perciperentq; non
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507 fru$tr&agrave; $uis animis in$itas non $ol&utilde; facultates i$ta transfe-
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508 rendi &amp; aptandi: $ed etiam congenita corporibus $uis in-
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509 $trum&etilde;ta, quibus vel ex$e, vel &agrave; $e factis in$trum&etilde;tis tran$-
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510 ferrent &amp; aptarent, non $o la cognitione c&otilde;tenti ad agen-
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511 dum $e contuler&utilde;t. Hinc quartum genus illud rer&utilde;, quas
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512 diximus, artificialium emanauit, prim&ugrave;m vt credibile e$t
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513 <foot>&itilde; iij</foot>
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514 <pb>
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515 nece$$ariarum, deinde delectabili&utilde;, quod e&ograve;, imitatione
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516 c&oelig;le$tium &amp; elem&etilde;tarior&utilde;, &amp; in hor&utilde; nonnullis $upera-
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517 tione proce$$it, vt homo qui manu mentis con$ilio dire-
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518 cta tot &amp; t&atilde;ta, quanta n&utilde;c po$$idemus, peregerit, ab Ana-
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519 xagora quia haberet man&utilde;, $apienti$$imus fueritiudica-
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520 tus. Ego quoq; potenti$$im&utilde; ead&etilde; de cau$a iudic&etilde;. quid
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521 enim e$t, quod non $uis v$ibus accommodarit? quibus $i
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522 bonitat&etilde; exemplo Dei Opt. Max. $em per adi&utilde;xerit, alte-
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523 r&ugrave;m quoq; De&utilde; inter mortales e$$e dicere non recu$em.
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524 E$t cert&egrave; animus in homine ars arti&utilde;. Inuenitenim om-
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525 nia, &amp; manus organ&utilde; organorum. Facit enim omnia. Et $i
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diff changeset
526 <G>mhxana_<+></G> $it moliri &amp; excogitare quibus in$trumentis
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527 opus ad agendum propo$it&utilde; efficiatur, <G>mhxa/nhma</G> erit mo-
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528 litio &amp; inu&etilde;tio in$trumentor&utilde; ad opus. qu&aelig; cum $ine ra-
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529 tione non po$$int exi$tere, ratio aut&etilde; vnius hominis pro-
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530 pria $it, <G>mhxanixo\n</G> e$$e $olius erit hominis, quemadmod&utilde;
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diff changeset
531 loqui, ratiocinari, &amp; omnia qu&aelig; &agrave; Dei $olo nutu, $ine ve-
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parents:
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532 cte, $ine ferramentis, $ine machina vlla confecta &amp; creata
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533 s&utilde;t, molitione, machinatione &amp; in$trum&etilde;tis imitari, om-
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534 nia denique ad v$us $uos transferre. Archimedes primus
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parents:
diff changeset
535 c&oelig;lum, alteram mundi partem ampli$$imam &amp; pr&aelig;$tan-
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536 ti$$imam, tanta arte vnius machin&aelig; vitre&aelig; artificio re-
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537 pr&aelig;$entauit, vt $i Claudiano credimus, artificij elegantia
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parents:
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538 voluptatem &amp; admirationem Ioui pepererit. Sed pr&aelig;$tat
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539 eleganti$$imos huius po&euml;t&aelig; ver$us recitare.</P>
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540 <P><I>Iuppiter, in paruo cum cerneret &aelig;thera vitro,
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541 Ri$it, &amp; ad $uperos talia dicta dedit.</I></P>
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parents:
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542 <P><I>Hoccine mortalis progre$$a potentia cur&aelig;?
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543 I am meus in fragili luditur orbe labor.</I></P>
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544 <P><I>Iura poli, rerumque fidem, lege$que deorum
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545 Ecce Syracu$ius tran$tulit arte $enex.</I></P>
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546 <P><I>Inclu$us varijs famulatur $piritus a$tris,
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547 Et viuum certis motibus vrget opus.</I></P>
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548 <P><I>Percurrit proprium mentitus $ignifer annum,
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549 Et $imulata nouo Cynthia men$e redit.</I></P>
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550 <P><I>Iamque $uum voluens audax indu$tria mundum</I>
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diff changeset
551 <pb>
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552 <I>Gauder, &amp; humana $idera mente regit.</I></P>
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553 <P><I>Quid $al$o in$ontem tonitru Salmonea miror?
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554 AE mula natur&aelig; parua reperta manus.</I></P>
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parents:
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555 <P>Sal monci huius fal$um tonitru $tatim in memoriam vo-
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parents:
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556 cat, non iam fal$a homin&utilde;, qui nunc viuunt to nitrua, vi-
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parents:
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557 brataq; &egrave; $uis $clopetis, b&otilde;bardi$que fulmina, $oni frago-
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parents:
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558 re, ictus conqua$$atione, &amp; pluri&utilde; $trage non modo Iouis
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parents:
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559 fulmen imitantia: $ed longe $uperantia. Quoties fulmen
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casties
parents:
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560 $uum mittit Iupiter aut nemin&etilde;, aut vn&utilde; atque alterum
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561 pr&aelig;cipitat: h&aelig;c ver&ograve; certo ictu $emper de$tinata vrbium
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562 m&oelig;nia deua$tant: quot homines attingunt, perdunt, &amp;
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563 quid&etilde; tanta celeritate, tant&aacute;que vi, vt qu&ecedil; ab antiquis in-
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diff changeset
564 genios&egrave;, vel ad oppugnandos ho$tes, vel ab his $e defen-
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565 dend&utilde; inuenta erant in$trum&etilde;ta bellica, Scorpiones, ca-
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parents:
diff changeset
566 tapult&aelig;, bali$t&aelig;, arietes, turres ambulatori&aelig;, te$tudines,
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casties
parents:
diff changeset
567 helepoles, fund&aelig;, &amp; reliqua eiu$modi poliorcetica, pr&aelig;
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parents:
diff changeset
568 illis qua$i in de$uetudin&etilde;, &amp; obliuion&etilde; abierint. Pr&aelig;clara
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casties
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diff changeset
569 $an&egrave; illa $unt <G>mhxa<+>hma<+>,</G> $i his homines vterentur tant&utilde;,
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diff changeset
570 vt patria ab ho$tili $eruitute liberetur, $ubacto ho$te fines
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parents:
diff changeset
571 amplificentur, adi&utilde;ctis prouincijs dilat&etilde;tur, &amp; $ic long&egrave;
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parents:
diff changeset
572 lat&eacute; que optimi regis dominatio ext&etilde;datur. Vt veteribus
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casties
parents:
diff changeset
573 illis $olis in$tructus cum Alexan der parua hominum ad
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parents:
diff changeset
574 30000 manu tot prouincias, tot regna, tot vrbes $ubegi$-
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parents:
diff changeset
575 $et, dictum $it abillo vtilius fui$$e $ubigi: quam reg&utilde; pri-
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parents:
diff changeset
576 $tinor&utilde; in$ul$a pote$tate diutius detineri. Igni&utilde; vero c&oelig;-
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diff changeset
577 le$tium, $eu a$tror&utilde; lumina faces no$tr&aelig; ardentes quant&utilde;
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diff changeset
578 v$ibus humanis $atis e$t, imitantur. Fontium per&etilde;nitates
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parents:
diff changeset
579 Heronis inuenta $uppeditant, vt &amp; Cte$ibij hydraulica
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parents:
diff changeset
580 in$trumenta, &amp; merul&aelig; hominum voces auiumq; cantus
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casties
parents:
diff changeset
581 imitantes, &amp; <G>e)g<+>ei/<+>a<+></G> funiculis, ponderibus, orbiculis,
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casties
parents:
diff changeset
582 $piritu inclu$o humanos motus $ine voce ed&etilde;tes perbell&egrave;
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diff changeset
583 expre$$erunt. No$troq; t&etilde;pore alij multi in oculis no$tris
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diff changeset
584 $imilia plurima po$uerunt. quales fuerunt icuncul&aelig; ill&aelig;
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parents:
diff changeset
585 ad cant&utilde; cythar&aelig; $altitantes, manus manibus iungentes,
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diff changeset
586 in equos, in currus con$cendentes, mod&ograve; rur$us curr&etilde;tes,
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casties
parents:
diff changeset
587 modo re$titantes. Tum ca$tellum illud mirabile, in quo
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casties
parents:
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588 fabror&utilde; genus omne $uum munus affabr&egrave;, nec o$citanter
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diff changeset
589 <pb>
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diff changeset
590 exercebat, quod h&icirc;c Luteti&aelig; vidimus. Vt &amp; Noriberg&aelig;
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591 mu$ca ferrea c&otilde;memoratur &egrave; manu artificis $ui cuola$$e,
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592 &amp; conuiuas circumuolita$$e, tandemq; veluti defe$$a in
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593 $ui domini manum redij$$e: tum aquila illa, qu&aelig; in a&euml;re
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parents:
diff changeset
594 $ublimis Carolo imperatori huius nominis quinto ad vr-
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595 bem aduentanti obuia facta, v$q; ad vrbis port&atilde; cundem
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diff changeset
596 comitata e$t, ne fabulam exi$timemus quod de columba
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597 Archit&aelig; vol&atilde;te &agrave; veteribus c&otilde;memoratum e$t: neq; illud
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598 quod fertur de D&aelig;daleis operibus, &amp; Vulcani tripodi-
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diff changeset
599 bus, pectinibus, malleis, qui iniu$$i ad opus $ponte $ua ve-
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parents:
diff changeset
600 niebant, &amp; ni$i vinculis coercerentur, aufugiebant. Sed
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parents:
diff changeset
601 h&aelig;c ad delectationem tantum $unt comparata, vtilia &amp;
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602 vit&aelig; human&ecedil; tr&atilde;$ig&etilde;d&aelig; nece$$aria omnino $unt Agricul-
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diff changeset
603 tur&aelig;, Militaris, Architectur&aelig;, Medicin&aelig;, Nautic&aelig;, Mer-
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parents:
diff changeset
604 catur&aelig; munera: quibus alim&etilde;ta, tecta, $anitas, ve$titus, di-
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605 uiti&aelig;, &amp; ab c&oelig;li, ho$tiumq; iniurijs defen$io qu&aelig;runtur.
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606 At quid artes ill&aelig; e$$e po$$ent, ni$i machin&aelig; inu&etilde;t&aelig; fui$-
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607 $ent, &amp; in$trumenta, quibus vn&acirc; c&utilde; homin&utilde; parua vi, mo-
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608 les lapid&utilde;, lignor&utilde;, frug&utilde;, terrar&utilde;, mari&utilde; ing&etilde;tes loco di-
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diff changeset
609 mou&etilde;tur, pelluntur, trahuntur, c&otilde;uehuntur, in gyr&utilde; con-
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parents:
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610 torquentur, &amp; t&atilde;dem alti$$imis locis &amp; difficilimis repo-
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611 nuntur? aut e&aelig;d&etilde; iu$ta quantitate appen$&aelig;, aut m&etilde;$urat&aelig;
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612 cuiq; $uum qu&aelig;renti di$tribuuntur? Vnde $ex $unt illa ex
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parents:
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613 innumeris &agrave; veteribus inu&etilde;ta, quor&utilde; $ingula $eor$um ma-
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parents:
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614 gna vi: coni&utilde;cta ver&ograve;, &amp; multiplicata infinitis propemo-
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615 dum viribus pollere animaduertuntur, libra, vectis, tro-
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parents:
diff changeset
616 chlea, axis in peritrochio, cuncus, &amp; cochlea. Sed qu&ecedil; au-
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617 dio h&icirc;c dicet aliquis? Nunquid in$trum&etilde;ta mercatorum,
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parents:
diff changeset
618 c&oelig;m&etilde;tariorum, baiulorum, phalangarior&utilde;, lignatorum,
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parents:
diff changeset
619 lapicidarum, vinitor&utilde;, &amp; eiu$modi vili&utilde; $or dido rum que
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parents:
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620 homin&utilde;? Audis $an&egrave;: $ed &amp; A$tre&aelig;, &amp; Neptuni, &amp; Mar-
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parents:
diff changeset
621 tis, &amp; Vulcani, &amp; Cereris, &amp; Palladis, qui tanto pere pro-
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parents:
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622 pter h&aelig;c $ua inuenta anti quis placuer&utilde;t, vt $int ab illis in
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parents:
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623 deorum numer&utilde;, eorumque maior&utilde; relati. Trutinarum
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parents:
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624 librarumque examinatio reperta, inquit Vitruuius, vin-
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625 dicat ab iniquitate iu$tis moribus vit&atilde;. Vnde $tatera do-
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parents:
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626 lo$a abhominatio e$t apud Deum, dixit $api&etilde;s, &amp; pondus
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627 <foot>&aelig;quum</foot>
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parents:
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628 <pb>
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parents:
diff changeset
629 &aelig;quum voluntas eius, &amp; alibi abhominatio e$t apud Deum
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parents:
diff changeset
630 pondus &amp; pondus. Itaque libr&aelig; inucntrix A $tr&aelig;a pro dea
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parents:
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631 lu$tici&ecedil; culta e$t. Libra ip$a iudicum oculis in fori $ui tabu-
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parents:
diff changeset
632 lis, &amp; $ignis propo$ita, ad quam intuerentur, &amp; denique in
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633 c&oelig;le$te $ignum conuer$a, qu&aelig; diem naturalem, quem Sol
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parents:
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634 &aelig;quatorem peragrans circulum conficit, in tempus lucis &amp;
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casties
parents:
diff changeset
635 tenebrarum &aelig;qualiter vbique diuideret. Vnde po&euml;ta,</P>
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parents:
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636 <P><I>Libra die, $omnique pares vbi fecerit horas,</I></P>
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637 <P><I>Et medium luci atque vmbris iam diuidet orbem.</I></P>
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638 <P>Neptuno ver&ograve;, cum tridentem antiquitas attribuit, quid
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639 aliud, quam vectem? Gr&aelig;ci appellant <G>mo/xlon</G> vnde ille <G>mox-
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640 leuth\s</G> vectiarius &agrave; po&euml;tis dictus e$t, &amp; terr&aelig; mati$que con-
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641 cu$$or, &amp; hac machina Syrtes $ubleuans, quo plus Troianis
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642 apparerent &agrave; po&euml;ta inducitur,</P>
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parents:
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643 <P><I>Leuat ip$e tridenti,</I></P>
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644 <P><I>Et va$tas aperit Syrtes.</I></P>
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645 <P>Cert&egrave; vectis palus e$t obl&otilde;gior, materi&aelig; firm&aelig;, cu$pide acu-
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646 ta, &amp; paulo latiori lingu&aelig; in$tar, quam prop&egrave;, quando e$t
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647 $ubditum hypomochlium, huic pondus in cumbens, id que
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648 grauius quam quod &agrave; decem hominum $olis manibus di-
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649 moueri loco po$$et, vnius tam&etilde; viribus caput huius pali de-
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650 primentibus, vel $i terra $ubdita pro hypomochlio e$t $uble-
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651 uantibus, dimouetur. Vnde in magnis &aelig;dificior&utilde; $ub$tru-
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652 ctionibus vnus vectis pro multorum manibus, vnus homo
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653 bimanus pro Briareo centimano, mod&ograve; pondera lapidum,
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654 trabi&uacute;m que colo$$icotera fabris &amp; architectis loco dimo-
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655 uet, &amp; $ubleuat: mod&ograve; ei$d&etilde; collopis figura $ucculas ver$at:
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656 modo tollenonis $pecie aquas &egrave; puteis operis &amp; olitoribus
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657 exhaurit: modo phalang&aelig; forma baiulis &amp; phalangarijs
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658 proportionalia tanquam in bilance pondera partitur, mo-
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659 do iugi nomine in aratro bobus &aelig;quum arationis laborem
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660 di$pen$at $iue &aelig;quales $iue in&aelig;quales.</P>
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661 <P><I>Veniant ad aratra iuuenci.</I></P>
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662 <P>Sed cum naui tran$mittitur flumen, aut mare tran$meatur,
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663 quid e$t in ea remus aliud, quam vectis inuer$us, habens in
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664 $calmo hypomochlium? aqu&atilde; pro pondere loco dimouens?
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665 vt in eum cedat nauis, &amp; quidem impul$us ille &agrave; remige pro
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666 <foot>&otilde;</foot>
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667 <pb>
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668 vectiatio tanquam tridens &agrave; Neptuno? Quin &amp; guberna-
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669 calum, quo gubernator in puppi $ed&etilde;s tam facil&egrave; obliquat
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670 nauim etiam ingentem, &amp; cum magna in prora loci muta-
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671 tione, licet in puppi ade&ograve; exigua, vt nihil agere, aut eti&atilde; lu-
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672 dere videatur: aliud tam&etilde; nihil, quam vectis e$$e c&otilde;perietur.
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673 Neque malus erectus in medio nauis e$t aliud. Calx enim,
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674 $eu edolium e$t hypomochlium, pars &egrave; qua pendet carche-
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675 $ium cum pa$$is velis, tanqu&atilde; alis D&aelig;daleis perflante vento
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676 propul$a propellit pondus, nauim $cilicet, &amp; quod e$t admi-
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677 rabilius ibi non aliter venti, quam equi reguntur, d&utilde; ex car-
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678 che$ij vt fr&aelig;ni $itu mod&ograve; altiore: mod&ograve; depre$$iore provt
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679 $unt admi$$i: ita nauis mod&ograve; vehementius, mod&ograve; remi$$ius
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680 impellitur.</P>
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681 <P>Sed h&aelig;c devecte $atis. Trochle&atilde; ver&ograve;, qu&aelig; orbiculus e$t
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682 circa axem immobilem fune conuolutus, quantis viribus
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683 pr&aelig;dit&atilde; e$$e animaduertimus. Ex hac multiplicata, factum
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684 e$t tri$pa$ton, pentepa$ton, poly$pa$ton, viribus quor&utilde; c&otilde;fi-
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685 $us Archimedes cum audiret aliqu&etilde; di$put&atilde;tem plures e$$e
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686 mundos coram Heronerege Syracu$arum, au$us e$t dicere.
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687 Da mihi vbi $i$tam pedem, &amp; hanc ego terr&atilde; loco $uo dimo-
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688 uebo. cuius admirabilis dicti c&utilde; rogatus e$$et &agrave; rege, vt $pe-
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689 cimen aliquod ederet, vna manu l&aelig;ua quinquies millen&ucirc;m
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690 modiorum p&otilde;dus attraxit: nauem in $iccum littus eiectam
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691 &amp; grauiter onerat&atilde; ad $e perinde pertraxit, ac $i in mari re-
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692 mis, veli$ve impul$a fui$$et: aliam po$tea recens c&otilde;$tructam
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693 ingentis magnitudinis ab Herone regi &AElig;gyptiorum Ptolo-
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694 m&aelig;o dono mittendam, quam omnes Syracu$anor&utilde; ciuium
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695 vires c&otilde;iunct&aelig; dimouere loco non potuer&atilde;t, vt $olus Hiero
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696 machinis adiutus in mare educerer, perfecit: &amp; quid&etilde; cum
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697 tanta ip$ius regis admiratione, vt exclamarit, <G><+>po\ tau/ths <+>
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698 k(me/<+>as w_<+>i\ w_anto\s *arxhmh/<+> le/<+>n<+>i pi<+>eute/on.</G> Ab hoc die
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699 quic quid dixerit Archimedes huic credend&utilde;. At ab eo die
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700 ab Archimede prodijt illud problema inexpertis in credibi-
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701 le, cruditis tamen demon$tratum. Datum pondus &agrave; data
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702 potentia moueri. quod in vectc, trochlea, &amp; axe in peritro-
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703 chio nuper &agrave; Guidone Vbaldo demon$trationibus geome-
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704 tricis habemus confirmatum. Vectis $olus pondera de loco
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705 <pb>
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706 propellit $uo, trochlea euellit, &amp; eadem ad alti$$imas &aelig;di-
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707 ficiorum vbi opus e$t $edes trahit. Sit in polo horizontis qui
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708 trochle&aelig; appendiculum firmet, &amp; ad eum homo ip$e $e $u-
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709 bleuabit. Sed longior $um in troch$ea, in reliquis ero bre-
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710 uior. Axis in peritrochio cylindrus e$t duobus fulcris per
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711 extrema $u$tentatus, habens prop&egrave; vnum extremorum tym-
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712 panum $cytalis aliquot in peripheria in fixis perforatum, ita
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713 quidem, vt pot&etilde;tia, qu&aelig; $emper in $cytalis e$t, dum circum-
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714 uertit tympanum &amp; axem, $ur$um etiam ex inferis euehat
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715 pondus quodlibet axi fune circa ip$um axem reuoluto
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716 appen$um. Huius machin&aelig; beneficio de$cenditur in vi$ce-
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717 ra terr&aelig;, &amp; illinc effo$$&aelig; opes, non vt Ouidius ait, $emper</P>
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718 <P><I>Irritamenta malorum:</I></P>
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719 <P>quin potius occa$iones &amp; adiumenta bonorum multorum,
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720 $i bon&utilde; po$$e$$or&etilde; nact&aelig; $int. Nam vt recte dixit Pindarus,</P>
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721 <P><I>Qu&aelig; Virtute pecunia</I></P>
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722 <P><I>Exornata nitet, $uppeditat Vias</I></P>
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723 <P><I>Non vnas, bene agas, quibus</I></P>
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724 <P><I>Qu&aelig; $ors cunque ferens obtulerit tibi:</I></P>
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725 <P>Et vt Antiphanes,</P>
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726 <P><I>Per deos cur optet quis dite$cere?</I></P>
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727 <P><I>Pecuni&aelig; cur optet habere plurimum:</I></P>
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728 <P><I>Quam po$sit auxiliari vt amicis? Grati&aelig;</I></P>
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729 <P><I>Fruct&uacute;mque $erere Diuarum $uaui$sim&aelig;?</I></P>
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730 <P>Illinc in quam effo$$&aelig; opes, $ucci, terr&aelig; medicat&aelig;, metalli
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731 omne genus, lapides, arena, ad &aelig;dificiorum $ub$tructiones,
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732 ad medicamenta prauarum &amp; contumacium affectionum,
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733 ad ornamenta in altum, luc&eacute;m que euehuntur.</P>
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diff changeset
734 <P>Cuneus vero e$t in$trum&etilde;tum exiguum in formam pyra-
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casties
parents:
diff changeset
735 midis quadrangul&ecedil;, ad vnam rect&atilde; line&atilde; fa$tigiat&aelig; ad diui-
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parents:
diff changeset
736 dendum ligna factum. Hoc c&utilde; malleo lignator in$tructus,
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casties
parents:
diff changeset
737 $yluam breuiori tempore integram diui$erit: quam $ine ijs
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casties
parents:
diff changeset
738 arboris vnius vnum truncum. Milo Crotoniates Athleta
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parents:
diff changeset
739 ille ro bu$ti$$imus fertur cum arborem bifurcatam proprijs
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casties
parents:
diff changeset
740 viribus diuellere contenderet, &amp; diuelli in c&oelig;ptam retinere
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casties
parents:
diff changeset
741 non po$$et, quin partes diuul$&aelig; $umma celeritate in $e$e re-
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parents:
diff changeset
742 dirent, vn&acirc;que raptas manus interciperent, pr&aelig;da vt im-
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parents:
diff changeset
743 <foot>&otilde; ij</foot>
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parents:
diff changeset
744 <pb>
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parents:
diff changeset
745 bellis ouis fui$$e lupis. Itaque proprijs,</P>
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parents:
diff changeset
746 <P><I>viribus ille</I></P>
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parents:
diff changeset
747 <P><I>Confi$us per&yuml;t,</I></P>
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parents:
diff changeset
748 <P>qui $i cuneo id ip$um facere volui$$et, in eam calamitatem
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parents:
diff changeset
749 non incidi$$et. Quis vero n&otilde; intelligit Martis, Cereris, Vul-
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parents:
diff changeset
750 canique arma &amp; in$trumenta en$es, gladios, mucrones, $e-
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casties
parents:
diff changeset
751 cures, aratra, ligones, a$cias, falces, vngues ferreos &amp; $imilia,
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casties
parents:
diff changeset
752 qu&aelig; percu$$ione, $iue impul$u incidunt, diuidunt, perfor&atilde;t,
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parents:
diff changeset
753 ad huiu$modi facultatis in$trumentum commode referri
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casties
parents:
diff changeset
754 po$$e? Ligones agricolarum quid $unt aliud, quam cunei
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parents:
diff changeset
755 mallco connexi? Forfex ver&ograve; ad Palladis &amp; &AElig;$culapij Ma-
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parents:
diff changeset
756 chaoni$que artes t&atilde; nece$$arius, quid aliud, qu&atilde; duplex cu-
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parents:
diff changeset
757 neus, &amp; totuplex vectis? $icuti forceps tantum vectis e$t du-
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parents:
diff changeset
758 plicatus. In$trumentum Vulcani perpetu&ograve; in manibus, qu&ograve;
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parents:
diff changeset
759 pruna, ferrum candens, &aelig;s, argent&utilde;, aurum apprehenditur.</P>
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parents:
diff changeset
760 <P><I>Pren$ant</I> (enim vt po&euml;ta ait,) <I>ver$antque tenaci</I></P>
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parents:
diff changeset
761 <P><I>Forcipe ferrum.</I></P>
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parents:
diff changeset
762 <P>At cuneus $implex percu$$ione mallei adigitur. Idem mul-
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casties
parents:
diff changeset
763 tiplicatus $ine percu$$ione rota cum $cytalis in cochlea ita
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parents:
diff changeset
764 penetrare cogitur, vt vu&aelig;, ole&aelig;, nuces, mala, pyra, c&aelig;tera-
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parents:
diff changeset
765 que humida pr&oelig;lis $ubiecta quicquid $ucci &amp; liquoris ha-
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parents:
diff changeset
766 bent, Domino per$oluere cogantur. Hoc beneficium ma-
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parents:
diff changeset
767 gni e$t momenti ad vit&aelig; commoda. At vt long&aelig;ua v$que in
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parents:
diff changeset
768 $ecula $int $empiterni doctorum hominum commentarij,
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parents:
diff changeset
769 &amp; con$cript&aelig; cogitationes, quantum confert pr&oelig;lum ty-
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parents:
diff changeset
770 pographicum cochle&aelig; vnius beneficio compre$$um? Quid
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casties
parents:
diff changeset
771 dicam ab his fontibus etiam deducta omnia poliorcetica,
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parents:
diff changeset
772 quorum $olorum op&egrave; vnus Archimedes Marcelli Syracu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
773 $as terra marique ob$id&etilde;tis vires diu, multumq; ludificatus
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parents:
diff changeset
774 e$t, pro qua re h&ucirc;c Titi Liuij lubet conferre admirabile re-
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parents:
diff changeset
775 $timonium. Terra, inquit, marique $imul c&oelig;pt&aelig; oppugnari
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parents:
diff changeset
776 Syracu$&aelig;, terra ab Hexapylo: mari ab Acradina. Et habui$-
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parents:
diff changeset
777 $et tant&ograve; impetu c&oelig;pta res fortunam, ni$i vnus homo Syra-
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parents:
diff changeset
778 cu$is ea t&etilde;pe$tate fui$$et Archimedes. Is erat vnicus $pecta-
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parents:
diff changeset
779 tor c&oelig;li $iderum que: mirabilior tamen inuentor ac machi-
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parents:
diff changeset
780 nator bellicorum torm&etilde;torum, operumque: quibus ea qu&aelig;
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parents:
diff changeset
781 ho$tes ingenti mole agerent ip$e perleui momento ludi$i-
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parents:
diff changeset
782 <pb>
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parents:
diff changeset
783 caretur. Murum per in&ecedil;quales ductum colles, pleraque alta
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parents:
diff changeset
784 &amp; difficilia aditu, $ummi$$a qu&aelig;dam, &amp; qu&aelig; planis vallibus
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casties
parents:
diff changeset
785 adiri po$$ent, vt cuique aptum vi$um e$t loco, ita omni ge-
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casties
parents:
diff changeset
786 nere tormento rum in$truxit. A cradin&aelig; murum, qui, vt ante
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casties
parents:
diff changeset
787 dictum e$t, mari alluitur ex quinqueremibus Marcellus
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casties
parents:
diff changeset
788 oppugnabat. ex c&aelig;teris nauibus $agittarij, funditore$que,
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casties
parents:
diff changeset
789 &amp; velites etiam quorum telum inhabile ad remittendum
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parents:
diff changeset
790 imperitis e$t: vix quenquam $ine vulnere con$i$tere in muro
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casties
parents:
diff changeset
791 patiebantur. Hi, quia $patio mi$$ilibus opus e$t: procul mu-
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casties
parents:
diff changeset
792 ro teneb&atilde;t naues. Iunct&aelig; ali&aelig; bin&aelig; ad quinqueremes dem-
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casties
parents:
diff changeset
793 ptis interioribus remis, vt latus lateri appropinquaretur:
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casties
parents:
diff changeset
794 cum exteriore ordine remorum velut naues agerentur: tur-
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casties
parents:
diff changeset
795 res contabulatas, machinament&aacute; que alia quatiendis muris
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parents:
diff changeset
796 portabant. A duer$us hunc naualem apparatum Archime-
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parents:
diff changeset
797 des vari&aelig; magnitudinis tormenta in muris di$po$uit. In eas
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casties
parents:
diff changeset
798 qu&aelig; procul erant, naues $axa ingenti pondere emittebat:
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casties
parents:
diff changeset
799 propiores leuioribus, e&oacute;que magis crebris petebat telis. Po-
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casties
parents:
diff changeset
800 $trem&ograve; vt $ui vulnere intacti tela in ho$tem ingererent: mu-
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casties
parents:
diff changeset
801 rum ab imo $ummum crebris cubitalibus fer&egrave; caueis ape-
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casties
parents:
diff changeset
802 ruit. per qu&aelig; caua pars $agittis: pars $corpionibus modicis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
803 ex occulto petebant ho$tem. Qu&aelig; propius quid&etilde; $ubibant
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casties
parents:
diff changeset
804 naues, quo interiores ictibus torm&etilde;torum e$$ent: in eas tol-
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casties
parents:
diff changeset
805 lendas de$uper murum eminentem ferrea manus firm&aelig; ca-
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casties
parents:
diff changeset
806 then&aelig; illigata, cum iniecta pror&aelig; e$$et, grauique libramen-
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casties
parents:
diff changeset
807 to plumbi recelleret ad $olum: $u$p&etilde;$a prora, nauim in pup-
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parents:
diff changeset
808 pim $tatuebat. Dein remi$$a $ubit&ograve;, velut ex muro caden-
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casties
parents:
diff changeset
809 tem nauim cum ingenti trepidatione nautarum ita vnd&aelig;
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parents:
diff changeset
810 affligebant: vt etiam$i recta recideret aliquantum aqu&aelig; ac-
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casties
parents:
diff changeset
811 ciperet. Ita maritima oppugnatio e$t elu$a, omni$que vis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
812 auer$a, vt totis viribus terra aggrederentur. Sed ea quoque
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parents:
diff changeset
813 pars eodem omni apparatu tormentorum in$tructa erat,
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parents:
diff changeset
814 Hieronis impen$is, curaque per multos annos Archimedis
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casties
parents:
diff changeset
815 vnica arte. Ita con$ilio habito, cum omnis conatus ludibrio
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parents:
diff changeset
816 e$$et: ab$i$tere oppugnatione atque ob$idendo tantum ar-
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parents:
diff changeset
817 cere terra marique commeatibus ho$tem placuit. H&aelig;c Ti-
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parents:
diff changeset
818 tus Liuius lib. 4. decad. 3. Vilium igitur, $ordidorum que ho-
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parents:
diff changeset
819 minum ne dixerimus ea e$$e in$trumenta, qu&aelig; vel &agrave; dijs, vel
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820 <foot>&otilde; iij</foot>
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parents:
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821 <pb>
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822 &agrave; nobili$$imis hominibus inuenta, &amp; v$urpata $unt, &amp; nunc
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823 ad v$us humanos perquam nece$$aria hone$ti$$imum qu&aelig;-
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824 $tum, &amp; qualem agricultura dominis agricolis $uppeditant.
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diff changeset
825 Quanquam non co animo &agrave; nobis h&aelig;c dicuntur, vt ad eas
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diff changeset
826 artes, quarum $unt in$trumenta, ve$tras animi, corpori$que
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827 vires $uadeam conferatis: vos dico,</P>
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828 <P><I>Queis meliore luto finxit pr&aelig;cordia Titan:</I></P>
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829 <P>atque quos ad his altiora pr&aelig;meditanda iamdudum euexit
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830 animus, vbi tamen nihil aliud e$$et, quod ageretur, cur non
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831 aliquod horum relaxamenti gratia etiam qu&aelig;ratis? vel $i rei
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832 familiaris exiguitas po$tulat, cum ijs agatis, potius, quam
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833 nihil? Neque enim magis horum aliquod nobis indecorum
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diff changeset
834 putare debemus: quam $ibi A$cr&aelig;us ille po&euml;ta,</P>
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835 <P><I>Qui alium ditem cernens, cum dee$t quod agatur,</I></P>
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836 <P><I>Ip$e $olum vertit tauris, &amp; $emina ponit.</I></P>
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837 <P>Sed co animo h&ecedil;c pr&ecedil;$ertim n&utilde;c &agrave; me dicuntur, vt audacter
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838 &amp; $ine rubore aliquando ingrediamur officinas fabrorum
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diff changeset
839 generis omnis, vt &amp; in$trumenta, &amp; machinas quibus vtun-
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840 tur in $uis operibus con$icien dis primum digno$camus, mi-
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841 rificas ex i$ta dignotione voluptates con$ecuturi, maxim&egrave;
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diff changeset
842 cum eas, qu&aelig; magna vi pollent, $ummo$que habent v$us
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843 cognouerimus, ma<*>ores adhuc multo po$tea percepturi, $i
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844 tant&aelig; efficaci&aelig; adiumenti que cau$as inue$tigantes inuene-
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845 <*>imus, quod feci$$e Ari$totelem non puduit, qui vno hoc li-
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846 bello <G><+>i\ mnxanika_n</G> cert&egrave; iucundo &amp; vtili edito tanta inge-
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847 nij $ubtilitate atque diligentia per$ecutus e$t, vt omnia ad
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848 vnum princip<*>um, quod e$t circulus, reuocari po$$e inue-
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849 nerit, &amp; reuocanda e$$e non quidem leuibus probabilium
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850 argumentorum: $ed graui$$imis demon$trationum geome-
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851 tricarum momentis o$tenderit. Itaque $i quis audito huius
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852 libelli titulo, $tatim ab huius lectione volens aufugere, in$u-
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853 per pue<*>iliter irrideat, quod regius mathem aticarum ar-
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854 tium profe$$or in rebus, vt putabit, vili$$imis philo$ophari,
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855 &amp; <G>g<+>wmebu_n</G> contenderit. Huic re$pondebimus, quod ali-
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856 quando Hera clitum dixi$$c ferunt ijs, qui cum alioqui evm
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857 vellent, quod forte in ca$a furnatia caloris gratia $edentem
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858 vid<*>$$ent, accedere temperarunt, &amp; ingredi fidenter cum
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859 <pb>
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860 iu$$i$$et. Ne quidem, inquit ille, huic loco dij de$unt im-
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861 mortales: $ic nec i$ti rerum generi dulci$$ima &amp; vtili$$ima,
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862 &amp; c&utilde; $umma ingenij humani voluptate coniuncta $ua dee$t
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863 philo$ophia, vt in qua explicanda, &amp; exorn&atilde;da pr&aelig;ter Ari-
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864 $totelem multi viri pr&aelig;clari $tudium $uum collocauerint,
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865 Cliades, Architas, Archimedes, Cte$ibius, Nymphodorus,
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866 Philo byzanteus, Diphilas, Charidas, Polyides, Phyrus,
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867 Age$i$tratus, ex quorum c&otilde;mentarijs qu&aelig; vtilia e$$ent &aelig;di-
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868 ficationi collecta in vnum Vitruuius corpus co&euml;git: $ed &amp;
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869 pr&aelig;ter illos quorum fer&egrave; nobis re$t&atilde;t $ola nomina Pappus,
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870 Hero vterque, Tzetzes, Iordanus, &amp; &egrave; recentio ribus Leoni-
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871 cus, Picolominus, Cardanus, Guido Vbaldus, quorum in-
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872 genia $eruilia nunquam rect&egrave; quis dixerit aut putarit. quin
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873 &amp; Hippocratcs magnus ille medicus &agrave; $e nonnulla luxatio-
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874 nibus, &amp; fracturis reponendis inuenta commoda gloriatur,
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875 cuiu$modi $unt <G>o)/noi, o)/<+>iskoi\,</G> &amp; $camnum, qu&aelig; vn&agrave; cum alijs
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876 Galenus quo que paruis eorum exemplaribus vtens $uos $e
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877 di$cipulos docere te$tatus e$t. In i$tam igitur inqui$itio-
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878 nem, tractationem, commentationem nobilem, ingenuam
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879 &amp; philo$ophi non vulgariter vt multi: $ed in Geometria
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880 magnopere eruditi ingenio digni$$imam, tot magnorum
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881 virorum exemplo, $i, can dide lector, me hortante atque his
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882 no$trorum commentariorum vigilijs, vtcunque adiuuante,
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883 diligenter incubueris, tui te laboris, mihi crede, penitebit
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884 numquam. Vale.</P>
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885 <pb>
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886 <head><I>Extraict du Priuilege du Roy.</I></head>
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887 <P>Par grace &amp; priuilege du Roy, il e$t permis &agrave; Ie-
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diff changeset
888 remie Perier marchant Libraire &agrave; Paris, d'impri-
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889 mer ou faire imprimer vn liure intitul&eacute; <I>Ari$totelis
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890 Mechanica, Gr&aelig;ca emendata, Latina facta, &amp; commen-
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891 tar&yuml;s illu$trata, ab Henrico Monantholio Medico, &amp; Ma-
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892 thematicarum artium Profe$$ore Regio.</I> Et deffen$es $ont
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893 faictes &agrave; toutes per$onnes de quelque e$tat qualit&eacute; &amp;
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894 condition qu'ils $oyent, en quelques lieux &amp; villes de
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895 ce Royaume, de ne le faire imprimer ou faire faire im-
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896 primer &agrave; peine des articles po$&eacute;s &agrave; l'original du pre-
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parents:
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897 $ent priuilege, iu$ques au temps &amp; terme de dix ans,
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898 finis &amp; accomplis &agrave; conter du iour &amp; datte de la pre-
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899 $ante impre$$ion, nonob$tant toutes oppo$itions ou
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900 appellations quelconques, &amp; $ans preiudice d'icelle,
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901 car tel e$t le plai$ir de $a Mage$t&eacute;. Donn&eacute; &agrave; Paris le
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902 23. de Decembre 1598.</P>
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903 <P><I>Sign&eacute; par le Con$eil</I></P>
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904 <P><I>D</I>E LAVETS.</P>
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905 <pb>
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906 <head>INDEX MEMOR ABILIVM
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907 IN MECHANICIS ARISTOTELIS
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908 &amp; eorum Commentarijs.</head>
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909 <table>
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910 <row><col><I>A</I></col><col></col></row>
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diff changeset
911 <row><col><I><G>*abuasos vnde.</G> pag.</I></col><col>209</col></row>
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parents:
diff changeset
912 <row><col><I>Ab$is pro circunferen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
913 tia rot&aelig;.</I></col><col>100</col></row>
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casties
parents:
diff changeset
914 <row><col><I>Acatium ante naues.</I></col><col>65</col></row>
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parents:
diff changeset
915 <row><col><I>Actiones manuum in
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casties
parents:
diff changeset
916 opi$ic&ydot;s egent $tatione, vel $ebione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
917 tant&ugrave;m</I></col><col>194</col></row>
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casties
parents:
diff changeset
918 <row><col><I>Admiratio quid.</I></col><col>4.5</col></row>
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casties
parents:
diff changeset
919 <row><col><I>Agricultur&aelig; nece$$aria.</I></col><col>14</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
920 <row><col><I>&AElig;des rotunda mirifica.</I></col><col>10</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
921 <row><col><I>&AElig;dificium durabile rect&agrave; in$i$tit.</I></col><col>196</col></row>
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casties
parents:
diff changeset
922 <row><col><I>&AElig;olus primus v$us velis.</I></col><col>92</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
923 <row><col><I>&AElig;quale e$t cau$a quietis.</I></col><col>193.196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
924 <row><col><I>&AElig;quilibrium in ponder atione.</I></col><col>149</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
925 <row><col><G>*alou<+>gopw/lai</G> <I>qui.</I></col><col>47</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
926 <row><col><I>Ambulare pronum conuenit brutis.</I></col><col>194</col></row>
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casties
parents:
diff changeset
927 <row><col><I>Angulus rectus e$t angubus &aelig;qualitatis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
928 ide&oacute;que quietis.</I></col><col>193.196</col></row>
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casties
parents:
diff changeset
929 <row><col><I>Ad angulos rectos omnia&aelig; quit$c&utilde;t.</I></col><col>196</col></row>
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parents:
diff changeset
930 <row><col><I>Antemna quid.</I></col><col>92</col></row>
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parents:
diff changeset
931 <row><col><I>Antemn&aelig; motio.</I></col><col>92</col></row>
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parents:
diff changeset
932 <row><col><I>Antiperi$ta$is med&yuml; confert ad motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
933 proiecti.</I></col><col>203</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
934 <row><col><I>Antiphonis dictum, cum iret ad $uppli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
935 cium.</I></col><col>12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
936 <row><col><I>Antiphonis ver$us de natura &amp; arte.</I></col>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
937 <col>8. 12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
938 <row><col><I>Arbores, &amp; plant&aelig; in$i$lunt plane 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
939 ad rectos angulos.</I></col><col>196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
940 <row><col><I>Archelairegis factum in edip$i Solis.</I></col><col>5</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
941 <row><col><I>Archimedeum problema, datum pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
942 data potentia mouere.</I></col><col>60</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
943 <row><col><I>Archimedis factum Mechanicum.</I></col><col>12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
944 <row><col><I>Architecture&aelig; tres partes.</I></col><col>9</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
945 <row><col><I>Argo prima nauis.</I></col><col>62</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
946 <row><col><I>Ari$toteles reprehen$us &agrave; Nonio.</I></col><col>84</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
947 <row><col><I>Ars $lectit naturam, &amp; ad alium $co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
948 pum vertit.</I></col><col>6</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
949 <row><col><I>Ars e$t admirationis plen&aelig;.</I></col><col>6</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
950 <row><col><I>Artis, &amp; natur&aelig; differentia.</I></col><col>6</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
951 <row><col><I>Artium diui$io in liberales, &amp; $ordi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
952 das.</I></col><col>3</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
953 <row><col><I>Artes liberales.</I></col><col>3</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
954 <row><col><I>Artes pueriles.</I></col><col>3</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
955 <row><col><I>Artes magn&aelig;.</I></col><col>3</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
956 <row><col><I>Artes imperantes.</I></col><col>3.4</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
957 <row><col><I>Artes architectonic&aelig;.</I></col><col>3</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
958 <row><col><I>Ars Typographica nihil e$$et $ine co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
959 chlea.</I></col><col>133</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
960 <row><col><I>A$inus, &amp; aues longo collo vident c&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
961 lum, vt homo.</I></col><col>195</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
962 <row><col><I>Axis in peritrochio.</I></col><col>120</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
963 <row><col><G>*au<+>/mata.</G></col><col>10</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
964 <row><col><I>B</I></col><col></col></row>
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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965 <row><col><I>Baiulus cum $uo onere e$t turbo, 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
966 conus inuer$us.</I></col><col>199.200</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
967 <row><col><I>Baiuli Pari$ien$es facile ferunt ingentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
968 pondera.</I></col><col>198.199</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
969 <row><col><I>Baiuli cum onere tut&ograve; a$cendunt, pericu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
970 los&egrave; de$cendunt.</I></col><col>199</col></row>
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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971 <row><col><I>B. Feratinus Amerinus c&atilde;cellari&aelig; Apo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
972 $tolic&aelig; regens con$ecrat, &amp; compreca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
973 tur multa $uper crucem apici obeli$ci
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casties
parents:
diff changeset
974 imponendam.</I></col><col>142</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
975 <row><col><I>Bombi tormentorum multi editi $tatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
976 atque crux impo$ita fuit apici obe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
977 li$ci.</I></col><col>142</col></row>
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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978 <foot>&utilde;</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
979 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
980 <row><col><I>Bouilli error, qui put abat rectam iuuen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
981 tam equalem peripheri&aelig; ex circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
982 $uper planum reuolutione.</I></col><col>174</col></row>
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parents:
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983 <row><col><I>Boues ad aratr&utilde; pariter $ubiugandi.</I></col><col>192</col></row>
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parents:
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984 <row><col><I>Bo&uuml;m in iugo imbecillior $ubleuari po-
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casties
parents:
diff changeset
985 te$t.</I></col><col>192</col></row>
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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986 <row><col><I>Bruta ventrem ad terram conuer$um
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casties
parents:
diff changeset
987 habent.</I></col><col>195</col></row>
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casties
parents:
diff changeset
988 <row><col><I>Bruti$pina pedib^{9} ad rectos imminet.</I></col><col>198</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
989 <row><col><I>Brutum nihil admir atur.</I></col><col>5</col></row>
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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990 <row><col><I>Bruta nonnulla apta fer&etilde;dis $arcinis.</I></col><col>198</col></row>
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casties
parents:
diff changeset
991 <row><col><I>Brutum nullum pote$t $edere.</I></col><col>194</col></row>
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casties
parents:
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992 <row><col><I>C</I></col><col></col></row>
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casties
parents:
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993 <row><col><G>*ka/<+>ar</G> <I>in fund a quid $it.</I></col><col>117</col></row>
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casties
parents:
diff changeset
994 <row><col><I>Calli&aelig; Rhodien$is factum mechanic&utilde;.</I></col><col>12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
995 <row><col><I>Cardanus reprehen$us &agrave; Scaligero.</I></col><col>145</col></row>
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casties
parents:
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996 <row><col><I>Cardanus ob$cur&egrave; &amp; imper$ect&egrave;: inge-
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casties
parents:
diff changeset
997 nios&egrave; tamen$crip$it.</I></col><col>180</col></row>
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casties
parents:
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998 <row><col><I>Carche$ium quid.</I></col><col>92</col></row>
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parents:
diff changeset
999 <row><col><I>Cathelina mu$ca Rhemen$ibus dicta e$t
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diff changeset
1000 ex&etilde;plar puncti duabus lationibus eo-
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diff changeset
1001 dem tempore moti.</I></col><col>32.33</col></row>
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diff changeset
1002 <row><col><I>Cauda e$t omnipi$ci progubernaculo.</I></col><col>77</col></row>
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diff changeset
1003 <row><col><I>Celeritas duplex.</I></col><col>27</col></row>
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parents:
diff changeset
1004 <row><col><I>Centrobarica pars Mechanices.</I></col><col>11</col></row>
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parents:
diff changeset
1005 <row><col><I>Cercopithecus proxime accedit ad figu-
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parents:
diff changeset
1006 ram hominis.</I></col><col>195</col></row>
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parents:
diff changeset
1007 <row><col><I>Cercopithecus, &amp; $imia e$t ridicula ho-
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parents:
diff changeset
1008 minis imitatio.</I></col><col>195</col></row>
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parents:
diff changeset
1009 <row><col><I>Cercopitheci manus differt ab hominis
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parents:
diff changeset
1010 manu.</I></col><col>195</col></row>
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parents:
diff changeset
1011 <row><col><I>Cercopitheci pollex non e$t <G>a)ntixeir,</G> vt
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parents:
diff changeset
1012 in manu hominis.</I></col><col>195</col></row>
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parents:
diff changeset
1013 <row><col><I>Centrum duorum circulorum connexo-
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parents:
diff changeset
1014 rum non e$t idem.</I></col><col>173</col></row>
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parents:
diff changeset
1015 <row><col><I>Chirurgi togati nolunt dentes cuellere,
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parents:
diff changeset
1016 licet$u operatio chirurgica.</I></col><col>153</col></row>
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parents:
diff changeset
1017 <row><col><I>Circini author D&aelig;dalus.</I></col><col>17</col></row>
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parents:
diff changeset
1018 <row><col><I>Circulus e$t principi&utilde; omnium virium,
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parents:
diff changeset
1019 qu&aelig;$unt in machinis motricibus.</I></col><col>15</col></row>
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parents:
diff changeset
1020 <row><col><I>Circulus admirabili&szlig;imus.</I></col><col>15</col></row>
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parents:
diff changeset
1021 <row><col><I>Circulus habet in $e quinque repugnan-
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parents:
diff changeset
1022 tias.</I></col><col>16</col></row>
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parents:
diff changeset
1023 <row><col><I>Circulus $ecit miracula in templis paga-
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parents:
diff changeset
1024 norum.</I></col><col>25</col></row>
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parents:
diff changeset
1025 <row><col><I>Circulus ante, &amp; pone mouetur $imul.</I></col>
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parents:
diff changeset
1026 <col>20.21</col></row>
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parents:
diff changeset
1027 <row><col><I>Circulus maior ad minorem $emper nu-
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parents:
diff changeset
1028 tum habet.</I></col><col>106</col></row>
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parents:
diff changeset
1029 <row><col><I>Circuli nutus e$t perpetuus.</I></col><col>107</col></row>
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parents:
diff changeset
1030 <row><col><I>Circuli qua$i motus e$t perpetuus.</I></col><col>107</col></row>
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parents:
diff changeset
1031 <row><col><I>Circuli minores infiniti $unt in maiore
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parents:
diff changeset
1032 circulo.</I></col><col>108</col></row>
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parents:
diff changeset
1033 <row><col><I>Circuli maiores $unt mouentiores.</I></col><col>109</col></row>
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parents:
diff changeset
1034 <row><col><I>Circulus c&otilde;tingit plan&utilde; in vno p&utilde;cto.</I></col><col>101</col></row>
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parents:
diff changeset
1035 <row><col><I>Circuli maioris minor e$t angulus conta-
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casties
parents:
diff changeset
1036 ctus quam minoris.</I></col><col>115</col></row>
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parents:
diff changeset
1037 <row><col><I>Circulus maior cum minore per &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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parents:
diff changeset
1038 orbitam reuoluitur &amp; contra.</I></col><col>164</col></row>
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parents:
diff changeset
1039 <row><col><I>Circuli c&otilde;centrici in&aelig;quales iuncti &aelig;qua-
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parents:
diff changeset
1040 lem orbitam percurr&utilde;t.</I></col><col>166.167.174</col></row>
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parents:
diff changeset
1041 <row><col><I>Circuli maioris motus $ecundum natu-
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parents:
diff changeset
1042 ram maior e$t quam minoris.</I></col><col>43</col></row>
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parents:
diff changeset
1043 <row><col><I>in Circulo in$criptas $i $ecet recta ad re-
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parents:
diff changeset
1044 ctos ab$ci$$a exdiametro erit maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1045 &amp; <*>pinquior remotiore maior.</I></col><col>68.69</col></row>
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parents:
diff changeset
1046 <row><col><I>Circulum minorem qui datum maiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1047 interius tangat de$cribere.</I></col><col>41</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1048 <row><col><I>C&oelig;li motus unde.</I></col><col>104</col></row>
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parents:
diff changeset
1049 <row><col><I>C&oelig;lum videre quid apud Platon&etilde;.</I></col><col>195</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1050 <row><col><I>Col&utilde;ba volans Acchit&aelig; n&otilde; e$t fabula.</I></col><col>26</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1051 <row><col><I>Contraria qu&aelig; $int ver&egrave;.</I></col><col>18</col></row>
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casties
parents:
diff changeset
1052 <row><col><I>Commotum facilius mouetur, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1053 quie$cens.</I></col><col>199</col></row>
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parents:
diff changeset
1054 <row><col><I>Connexum &amp; concauum non $unt con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1055 traria.</I></col><col>19</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1056 <row><col><I>Cochlea quid.</I></col><col>131</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1057 <row><col><I>Cochle&aelig; effecta.</I></col><col>133</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1058 <row><col><I>Cochlea magnes vires habet.</I></col><col>133</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1059 <row><col><I>Cochlea infinita.</I></col><col>133</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1060 <row><col><I>Cochle&aelig; Ari$toteles non meminit.</I></col><col>131</col></row>
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casties
parents:
diff changeset
1061 <row><col><I>Cochlea e$t cuneus multiplicatus, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1062 vnus cuneus continuatus.</I></col><col>131</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1063 <row><col><I>Cuneus e$t vectu duplicatus.</I></col><col>127</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1064 <row><col><I>Cuneum vicem gerere duorum vectium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1065 demon$tratio linearis.</I></col><col>130</col></row>
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parents:
diff changeset
1066 <row><col><I>Cuneus quid.</I></col><col>126</col></row>
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parents:
diff changeset
1067 <row><col><I>Cunci v$us.</I></col><col>127</col></row>
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casties
parents:
diff changeset
1068 <pb>
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casties
parents:
diff changeset
1069 <row><col><I>Cuneimagna vis.</I></col><col>127.127</col></row>
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casties
parents:
diff changeset
1070 <row><col><I>Cuneo magn&aelig; moles diuiduntur.</I></col><col>125</col></row>
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casties
parents:
diff changeset
1071 <row><col><I>Croc&aelig; Ari$toteliquid.</I></col><col>123</col></row>
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casties
parents:
diff changeset
1072 <row><col><I>Croc&aelig; rotund&aelig;.</I></col><col>122.123</col></row>
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casties
parents:
diff changeset
1073 <row><col><I>Cubus $tabili&szlig;ima figurarum.</I></col><col>103</col></row>
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casties
parents:
diff changeset
1074 <row><col><I>Currus iam commotus facilius moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1075 tur.</I></col><col>200</col></row>
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casties
parents:
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1076 <row><col><I>D</I></col><col></col></row>
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casties
parents:
diff changeset
1077 <row><col><I>D&aelig;dali $tatu&aelig;liber&aelig;, &amp; ligat&aelig;.</I></col><col>25</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1078 <row><col><I>Decubitus $anorum in lecto.</I></col><col>176</col></row>
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casties
parents:
diff changeset
1079 <row><col><I>Dens corro$us eximidebet.</I></col><col>153</col></row>
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casties
parents:
diff changeset
1080 <row><col><I>Dens non temere eximi debet.</I></col><col>153</col></row>
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casties
parents:
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1081 <row><col><I>Dens forcipe facilius, quam manu euelli-
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casties
parents:
diff changeset
1082 tur.</I></col><col>153</col></row>
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casties
parents:
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1083 <row><col><I>Dentiducus quid.</I></col><col>132</col></row>
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casties
parents:
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1084 <row><col><I>D&etilde;tes animali&utilde; inci$or&yuml; $unt cunei.</I></col><col>129</col></row>
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casties
parents:
diff changeset
1085 <row><col><I>Dens priu$quam eximatur duo fieri po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1086 $tulat.</I></col><col>154</col></row>
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diff changeset
1087 <row><col><I>Dentis euellendi differentia &agrave; clauo in-
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parents:
diff changeset
1088 fixo.</I></col><col>154</col></row>
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diff changeset
1089 <row><col><I>Deusnon admiratur.</I></col><col>5</col></row>
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parents:
diff changeset
1090 <row><col><I>Diaconus $acris ve$tibus indutus imponit
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diff changeset
1091 crucem apici obeli$ci.</I></col><col>142</col></row>
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parents:
diff changeset
1092 <row><col><I>Diameter circuli, &amp; Sph&aelig;r&aelig; in$i$tit
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parents:
diff changeset
1093 plano ad rectos.</I></col><col>105</col></row>
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parents:
diff changeset
1094 <row><col><I>Diametri ad peripheriam qu&aelig;ratio.</I></col><col>32</col></row>
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parents:
diff changeset
1095 <row><col><I>Dies impo$it&aelig; crucis obeli$co.</I></col><col>142</col></row>
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parents:
diff changeset
1096 <row><col><I>Dolabra e$t cuneus.</I></col><col>130</col></row>
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diff changeset
1097 <row><col><I>Dominicus Fontana machinator in$i-
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parents:
diff changeset
1098 gnis.</I></col><col>139</col></row>
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diff changeset
1099 <row><col><I>Dominici Fontan&aelig; triumphus.</I></col><col>142</col></row>
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parents:
diff changeset
1100 <row><col><I>Domus integra &agrave; $undamentis $ublata,
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parents:
diff changeset
1101 &amp; ali&ograve; tran$lata.</I></col><col>133</col></row>
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parents:
diff changeset
1102 <row><col><I>E</I></col><col></col></row>
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parents:
diff changeset
1103 <row><col><I>Elementa quie$icunt adrectos angu-
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parents:
diff changeset
1104 los $ita.</I></col><col>196</col></row>
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parents:
diff changeset
1105 <row><col><I>En$is e$t cuneus.</I></col><col>130</col></row>
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parents:
diff changeset
1106 <row><col><G>*epipo/laia</G> <I>vis qu&aelig;.</I></col><col>201.202</col></row>
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parents:
diff changeset
1107 <row><col><I>Equus Troianus machina er at.</I></col><col>12</col></row>
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parents:
diff changeset
1108 <row><col><I>Ergat a quid.</I></col><col>119</col></row>
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parents:
diff changeset
1109 <row><col><I>Ergat&aelig;, &amp; $uccul&aelig; di$tinctio.</I></col><col>129</col></row>
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parents:
diff changeset
1110 <row><col><I>Ergatam collopes maiores minoribus fa-
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parents:
diff changeset
1111 cilius mouent.</I></col><col>118.119</col></row>
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parents:
diff changeset
1112 <row><col><I>Exercitium militum in exercitu ferian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1113 tium.</I></col><col>125</col></row>
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parents:
diff changeset
1114 <row><col><I>Exigua qu&aelig;.</I></col><col>204</col></row>
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parents:
diff changeset
1115 <row><col><I>F</I></col><col></col></row>
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parents:
diff changeset
1116 <row><col><I>Fabrilis ars certitudine vincit c&aelig;te-
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parents:
diff changeset
1117 ras.</I></col><col>4</col></row>
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parents:
diff changeset
1118 <row><col><I>Figura hominis dec&utilde;bentis exirema.</I></col><col>176</col></row>
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parents:
diff changeset
1119 <row><col><I>Figura corpor&utilde;iuuat, velimpedit mul-
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parents:
diff changeset
1120 tum corum inclinationes, &amp; natura-
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parents:
diff changeset
1121 les impetus.</I></col><col>164</col></row>
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parents:
diff changeset
1122 <row><col><I>Figura decubitus humida, $eu medi&aelig;
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parents:
diff changeset
1123 qu&aelig;.</I></col><col>176</col></row>
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diff changeset
1124 <row><col><I>Forceps, &amp; forfex quid.</I></col><col>152</col></row>
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diff changeset
1125 <row><col><I>Fortuna in$i$tit Sphar&aelig;.</I></col><col>103</col></row>
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diff changeset
1126 <row><col><I>Funda quid.</I></col><col>116</col></row>
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diff changeset
1127 <row><col><I>Funda inuentum Ph&aelig;nicuno.</I></col><col>116</col></row>
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1128 <row><col><I>Fund&aelig; v$us.</I></col><col>116.117</col></row>
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parents:
diff changeset
1129 <row><col><I>Fund&aelig; cur Balearis.</I></col><col>116</col></row>
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parents:
diff changeset
1130 <row><col><I>Funda longius pro&yuml;cit, quam manus.</I>
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1131 </col><col>115.117</col></row>
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parents:
diff changeset
1132 <row><col><I>Fundaiacit lapidem &amp; plumbum.</I></col><col>117</col></row>
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parents:
diff changeset
1133 <row><col><I>Fu$tis ad genu fractus non l&aelig;dit.</I></col><col>122</col></row>
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parents:
diff changeset
1134 <row><col><I>Fu$tis duobus cyphis impo$itus frangitur
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parents:
diff changeset
1135 $ine cyphorum fractione &amp; aqu&aelig; effu-
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parents:
diff changeset
1136 $ione.</I></col><col>122</col></row>
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parents:
diff changeset
1137 <row><col><I>G</I></col><col></col></row>
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diff changeset
1138 <row><col><I>Georgij Lhuller&yuml; machina.</I></col><col>137.138</col></row>
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parents:
diff changeset
1139 <row><col><I>Gubernaculum &amp; eius partes.</I></col><col>73</col></row>
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parents:
diff changeset
1140 <row><col><I>Gubernaculi &amp; remi differentia.</I></col><col>76</col></row>
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diff changeset
1141 <row><col><I>Gubernaculi magna vis in nauis motio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1142 ne.</I></col><col>71.72</col></row>
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1143 <row><col><I>Gyraphi $oli crura po$teriora prioribus
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parents:
diff changeset
1144 breuiora habent.</I></col><col>112</col></row>
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1145 <row><col><I>H</I></col><col></col></row>
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1146 <row><col><I>Ha$t&aelig; ferrum e$t cuneus.</I></col><col>190</col></row>
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parents:
diff changeset
1147 <row><col><I>Hominem quie$cere, $edare, $urge-
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parents:
diff changeset
1148 re, $tare, ambulare, currere e$t ex v$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1149 Geometri&aelig;,</I></col><col>198</col></row>
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parents:
diff changeset
1150 <row><col><I>Hominis quies e$t per rectos angulos.</I></col><col>196</col></row>
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parents:
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1151 <row><col><I>Hominis ambulatio, &amp; progre$sio, vs
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1152 fiat.</I></col><col>198</col></row>
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parents:
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1153 <row><col><I>Homo n&otilde; $tatrectus, vt c&aelig;l&utilde; videus.</I></col><col>194</col></row>
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parents:
diff changeset
1154 <row><col><I>Homo vnde factus Mechanicus.</I></col><col>7.8</col></row>
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casties
parents:
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1155 <row><col><I>Homo $olus admiratur.</I></col><col>5</col></row>
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parents:
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1156 <row><col><I>Homo $olus artifex.</I></col><col>194</col></row>
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parents:
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1157 <foot>&utilde; ij</foot>
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casties
parents:
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1158 <pb>
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parents:
diff changeset
1159 <row><col><I>Homo $oius $edere pote$t.</I></col><col>194</col></row>
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casties
parents:
diff changeset
1160 <row><col><I>Homo magnus &amp; paruuus quis.</I></col><col>19</col></row>
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casties
parents:
diff changeset
1161 <row><col><I>Homines duo ferentes pondus cum perti-
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parents:
diff changeset
1162 ca, $i pondus non e$t in eius medio, non
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casties
parents:
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1163 &aelig;qualiter premuntur.</I></col><col>190.191</col></row>
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casties
parents:
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1164 <row><col><I>Horologia nostritemporis veterum cle-
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parents:
diff changeset
1165 p$ydras, &amp; gnemones antecellunt.</I></col><col>26</col></row>
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casties
parents:
diff changeset
1166 <row><col><I>Plorologium Argentorati magni$ic&utilde;.</I></col><col>26</col></row>
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casties
parents:
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1167 <row><col><I>Humero dextro onera difficilius ferun-
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parents:
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1168 tur, quam $ini$tro.</I></col><col>187</col></row>
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casties
parents:
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1169 <row><col><I>Hypomochlium quid.</I></col><col>14.55</col></row>
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parents:
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1170 <row><col><I>I</I></col><col></col></row>
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casties
parents:
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1171 <row><col><I>Iaccre $upinum quid.</I></col><col>194</col></row>
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casties
parents:
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1172 <row><col><I>lacere pronum.</I></col><col>194</col></row>
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casties
parents:
diff changeset
1173 <row><col><I>Jacere $upinum &amp; pronum commune
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diff changeset
1174 e$t multis anim antibus.</I></col><col>194</col></row>
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diff changeset
1175 <row><col><I>Joannis iucundi problema.</I></col><col>145</col></row>
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1176 <row><col><I>L</I></col><col></col></row>
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diff changeset
1177 <row><col><I>Lancea perp&etilde;dicularis facilius fer-
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diff changeset
1178 tur, quam obliquata.</I></col><col>185</col></row>
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diff changeset
1179 <row><col><I>Lecti lateribus cur fiunt dupli.</I></col><col>175</col></row>
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diff changeset
1180 <row><col><I>Libra maior e$t exactior minore.</I></col><col>27.44.
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diff changeset
1181 45</col></row>
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diff changeset
1182 <row><col><I>Libr&aelig; finis.</I></col><col>4</col></row>
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diff changeset
1183 <row><col><I>Libr&aelig;partes.</I></col><col>45.46</col></row>
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1184 <row><col><I>Libr&aelig;fallaci&aelig;.</I></col><col>46.47</col></row>
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1185 <row><col><I>Libr&aelig; valde exigua examinantis fabri-
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diff changeset
1186 ca.</I></col><col>47</col></row>
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diff changeset
1187 <row><col><I>Librile ab$q; p&otilde;dere facilius mouetur.</I></col><col>112</col></row>
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diff changeset
1188 <row><col><I>Librilis brachia vt mane&atilde;t, aut redeant
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diff changeset
1189 ad &aelig;quilibri&utilde; $ublatis p&otilde;deril^{9}.</I></col><col>49.50</col></row>
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diff changeset
1190 <row><col><I>Librile ligne&utilde; facili^{9} mouetur ferreo.</I></col><col>113</col></row>
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diff changeset
1191 <row><col><I>Lignalongiora $unt imbecilliora.</I></col><col>124</col></row>
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diff changeset
1192 <row><col><I>Ligna longa ab extremo difficilius fcr&utilde;-
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diff changeset
1193 tur bumere, quam &agrave; medio.</I></col><col>183.184</col></row>
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diff changeset
1194 <row><col><I>Lignum vt &egrave; genu facilius fr&atilde;gatur.</I></col><col>121</col></row>
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diff changeset
1195 <row><col><I>Linea de$cribens circulum $ecund&utilde; duas
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diff changeset
1196 lationes $ertur.</I></col><col>28.34</col></row>
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1197 <row><col><I>Long&utilde; pondus difficilius fertur humero,
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diff changeset
1198 qu&atilde; brcue, vt $it p&otilde;dere &aelig;quale.</I></col><col>186.187</col></row>
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diff changeset
1199 <row><col><I>Lorain lectis extenduntur non $ecundum
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diff changeset
1200 diametrum.</I></col><col>175.177</col></row>
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diff changeset
1201 <row><col><I>M</I></col><col></col></row>
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diff changeset
1202 <row><col><I>Machina quid.</I></col><col>2</col></row>
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diff changeset
1203 <row><col><I>Machinarum qu&aelig;dam per $e, qu&aelig;dam-
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diff changeset
1204 non per$e mouentur.</I></col><col>10</col></row>
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diff changeset
1205 <row><col><I>Machin&aelig; valenti&szlig;im&aelig; tres ex $ententia
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diff changeset
1206 Hippocratis.</I></col><col>119</col></row>
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parents:
diff changeset
1207 <row><col><I>Machinarum pluribus, &amp; diuer$arum
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diff changeset
1208 compo$itio ad&aelig;quat vnam, qu&aelig; tanta,
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diff changeset
1209 quanta opus e$$et fierinon pote$t, pro-
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diff changeset
1210 pter defectum materi&aelig;.</I></col><col>138.139</col></row>
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diff changeset
1211 <row><col><I>Machin&aelig; ad &aelig;dificia, &amp; ad bellum.</I></col><col>10</col></row>
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diff changeset
1212 <row><col><I>in Machinis faciendis lex ob$eruanda.</I></col><col>10</col></row>
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1213 <row><col><I>Magnetis vis.</I></col><col>129</col></row>
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1214 <row><col><I>Magna qu&aelig;.</I></col><col>204</col></row>
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1215 <row><col><I>Malus nauis.</I></col><col>92</col></row>
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1216 <row><col><I>Mali pterna.</I></col><col>92</col></row>
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1217 <row><col><I>Mallei l&otilde;gius manubri&utilde; graui^{9} ferit.</I></col><col>128</col></row>
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1218 <row><col><I>Manganaria pars Mechanices.</I></col><col>11</col></row>
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diff changeset
1219 <row><col><I>Manus e$t in$trum&etilde;t&utilde; in$trum&etilde;tor&utilde;.</I></col><col>194</col></row>
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1220 <row><col><I>Manus tres partes.</I></col><col>118</col></row>
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1221 <row><col><I>Mechanica cur non e$$e Aristotelis vi-
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diff changeset
1222 $um $it Cardano &amp; Fr&atilde;ci$co patricio.</I></col><col>1</col></row>
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diff changeset
1223 <row><col><I>Mechanica $unt Aristotelis.</I></col><col>2</col></row>
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diff changeset
1224 <row><col><I>Mechanicorum diui$io.</I></col><col>2</col></row>
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1225 <row><col><I>Mechanica vnde dicta.</I></col><col>2.11</col></row>
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parents:
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1226 <row><col><I>Mechanica qu&aelig; dici debeant.</I></col><col>2</col></row>
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1227 <row><col><I>Mechanice quid.</I></col><col>8.9</col></row>
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1228 <row><col><I>Mechanice partim e$t phy$ica, partim
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diff changeset
1229 mathematica.</I></col><col>4.12.13</col></row>
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1230 <row><col><I>Mechanic&aelig; artes vnde dict&aelig;.</I></col><col>2.3</col></row>
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1231 <row><col><I>Mechanice pars e$t philo$ophi&aelig;.</I></col><col>9</col></row>
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1232 <row><col><I>Mechanices finis.</I></col><col>9</col></row>
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1233 <row><col><I>Mechanicus ante aggre&szlig;ionem operis
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1234 quid con$iderare debeat.</I></col><col>13</col></row>
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1235 <row><col><I>Mechanice dicendi</I> <G>pa<+>adosopcioi\.</G></col><col>12</col></row>
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1236 <row><col><I>laus Mechanicorum.</I></col><col>142</col></row>
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1237 <row><col><I>Mens e$t ars artium.</I></col><col>194</col></row>
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1238 <row><col><I>Men$ura rei cuiu$que debet e$$e deter-
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1239 minata.</I></col><col>44</col></row>
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1240 <row><col><I>Mercatura opulenta.</I></col><col>4</col></row>
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1241 <row><col><I>Mercurius in$istit cubo.</I></col><col>103</col></row>
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1242 <row><col><I>Milij grana non $unt $impliciter exigua.</I></col>
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1243 <col>204</col></row>
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1244 <row><col><I>Militaris ars vtilitate vincit c&aelig;teras.</I></col><col>4</col></row>
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1245 <row><col><I>Milo cuneum contemnens peryt.</I></col><col>127</col></row>
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1246 <row><col><I>Mobile motum qu&ograve; vergit facile moue-</I>
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1247 <pb>
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1248 <I>tur.</I></col><col>103</col></row>
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1249 <row><col><I>Mobilis primi velocitas vt intelligatur.</I></col>
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1250 <col>104.</col></row>
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1251 <row><col><I>Mobilis primi motus e$t men$ura alio-
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1252 rum motuum.</I></col><col>104</col></row>
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1253 <row><col><I>Mobile latius mouetur difficilius.</I></col><col>104</col></row>
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1254 <row><col><I>Moles exigua $&aelig;pe magnam vim obti-
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1255 net.</I></col><col>129</col></row>
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1256 <row><col><I>Motus fit in tempore, &amp; $ucce&szlig;iu&egrave;.</I></col><col>205</col></row>
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1257 <row><col><I>Motus minimus quis.</I></col><col>104</col></row>
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1258 <row><col><I>Mota duobus motibus ad eundem ter-
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parents:
diff changeset
1259 min&utilde; tend&etilde;tibus celerius mou&etilde;tur.</I></col><col>163</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1260 <row><col><I>Motum duabus lationibus rationem ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1261 bentibus fertur $ecund&utilde; rect&atilde; line&atilde;.</I></col><col>30</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1262 <row><col><I>Motum duabus lationibus rationem non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1263 habentibus n&otilde; fertur $ecund&utilde; rect&atilde;.</I></col><col>30</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1264 <row><col><I>Motus circularis omnium machinatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1265 num principia continet.</I></col><col>60</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1266 <row><col><I>Motus difficultas in mobili &agrave; quibus pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1267 deat.</I></col><col>101</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1268 <row><col><I>Mulier parua non e$t pulchr&aelig;.</I></col><col>19</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1269 <row><col><I>Mundus nutans non vere dici de terra &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1270 po&euml;ta.</I></col><col>104</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1271 <row><col><I>Mu$culus vecti comparatus &agrave; Galeno.</I></col><col>56</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1272 <row><col><I>N</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1273 <row><col><I>Natura eod&etilde; modo $emper opera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1274 tur, &amp; eundem $copum habet.</I></col><col>6</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1275 <row><col><I>Natura re$i$tit arti in multis.</I></col><col>8</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1276 <row><col><I>Nauigandi ars admirabilis ob $ubtilita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1277 tem, &amp; nauigationis pericula.</I></col><col>62</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1278 <row><col><I>Nauig&yuml; Hieronis de$criptio incredibi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1279 lis.</I></col><col>73</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1280 <row><col><I>Nauis quid, &amp; partes.</I></col><col>62</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1281 <row><col><I>Nauis Ptolemaic&aelig; magnitudo.</I></col><col>63</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1282 <row><col><I>Nauis iam mota $acilius mouetur.</I></col><col>201</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1283 <row><col><I>Nauis plus vehitur antror$um, quam re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1284 mi palmula retror$um.</I></col><col>80</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1285 <row><col><I>Nauis actuari&aelig; promotio.</I></col><col>69</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1286 <row><col><I>Nauis velocit as &agrave; quibus.</I></col><col>93</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1287 <row><col><I>Nauium $pecies.</I></col><col>63</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1288 <row><col><I>Nauicula &egrave; plumbo tenui $upernatat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1289 aqu&aelig;.</I></col><col>164</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1290 <row><col><I>Naut&aelig; in procellis $olo vtuntur dolone.</I></col>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1291 <col>94</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1292 <row><col><I>Nautica ars opulenta.</I></col><col>4</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1293 <row><col><I>Nuces &agrave; nucifrangibulo $ine ictu facilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1294 franguntur, quam cum ictu.</I></col><col>155.156</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1295 <row><col><I>Nucifr&atilde;gibuli &amp; forcipis di$tinctio.</I></col><col>156</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1296 <row><col><I>Nucifrangibulum ferreum facilius nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1297 cem frangit, quam ligneum.</I></col><col>167</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1298 <row><col><I>Nutus quid.</I></col><col>104.108</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1299 <row><col><I>Nutus quotuplex.</I></col><col>108</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1300 <row><col><I>Nutus maioris peripheri&aelig; maior 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
1301 quam minoris.</I></col><col>108</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1302 <row><col><I>O</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1303 <row><col><I>Obeli$cus quid.</I></col><col>139</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1304 <row><col><I>Obeli$c^{9} Xy$tiqualis &amp; qu&atilde;tus.</I></col><col>139</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1305 <row><col><I>Obeli$cus Xy$ti cuiprimo $acer.</I></col><col>140</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1306 <row><col><I>Obeli$cus vbi$itus erat.</I></col><col>140</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1307 <row><col><I>quid Obeli$cus tran$latus, &amp; Christo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1308 $acer cum cruce $uper apice $uo 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
1309 ta Christianis $ignificat.</I></col><col>140</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1310 <row><col><I>molimina circa Obeli$ci tran$lationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1311 quinque, omnia difficillima.</I></col><col>140</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1312 <row><col><I>ad Obeli$cum transferendum qu&aelig; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1313 chin&aelig;, &amp; quot adhibit&aelig;.</I></col><col>140</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1314 <row><col><I>circa Obeli$c&utilde; molitiones quiuque, quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1315 modo, &amp; &agrave; quibus perfect&aelig;.</I></col><col>141</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1316 <row><col><I>Obeli$ci in area V aticani ante portam D.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1317 Fetri po$iti Ichnographi&aelig;.</I></col><col>143</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1318 <row><col><I>de Obeli$co &amp; Xy$to V. Summ. Pont. &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1319 cruce Gulielmi Blanci epigr&atilde;ma.</I></col><col>142</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1320 <row><col><G>*odonta/g<+>a *h)\o)donta/gw_gos</G> <I>quid.</I></col><col>152</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1321 <row><col><G>*odonta/gw_gos</G> <I>pl&utilde;beus in t&etilde;plo Apol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1322 linis Delphici quid $ignificabat.</I></col><col>153</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1323 <row><col><I>Ovos quid.</I></col><col>119</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1324 <row><col><I>Os arietinum vol&aelig; manus impo$itum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1325 frangitur manu ill&aelig;$a.</I></col><col>122</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1326 <row><col><G>*ou<+>ano/suopcs</G> <I>pi$cis velit nolio videt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1327 c&aelig;lum.</I></col><col>195</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1328 <row><col><I>P</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1329 <row><col><I>Palang a quid.</I></col><col>191</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1330 <row><col><I>Pedem facere.</I></col><col>95</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1331 <row><col><I>Pente$paston.</I></col><col>111.134</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1332 <row><col><I>Percu&szlig;io quid.</I></col><col>128</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1333 <row><col><I>Percu$sionis duo modi.</I></col><col>128</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1334 <row><col><I>Percu&szlig;io &agrave; quibus fit maior.</I></col><col>128</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1335 <row><col><I>Percu&szlig;ionis validiores cau$&aelig;.</I></col><col>128.129</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1336 <foot>&utilde; iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1337 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1338 <row><col><I>Percu$sionis magna vis ad mouendum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1339 findendum, frangendum, quatien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1340 dum.</I></col><col>129</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1341 <row><col><I>Perpendiculares &agrave; peripher&yuml;s in $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1342 diametros circulorum 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
1343 &aelig;quales auferunt $egmenta $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1344 metrorum in&aelig;qualia, quorum maius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1345 e$t quod &egrave; minori aufertur.</I></col><col>40</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1346 <row><col><I>Peripheri&aelig; maiores &agrave; punctis &agrave; centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1347 remotioribus de$cribuntur.</I></col><col>23</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1348 <row><col><I>Petorita Gallorum petoritis Polonorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1349 difficilius mouentur.</I></col><col>113</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1350 <row><col><I>Phalanga quid.</I></col><col>191</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1351 <row><col><I>Phalangary qui.</I></col><col>191</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1352 <row><col><I>Phalangar&yuml; tetraphori, hexaphori.</I></col><col>191</col></row>
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casties
parents:
diff changeset
1353 <row><col><I>Phalang&yuml; ictus.</I></col><col>129</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1354 <row><col><I>Phalanx.</I></col><col>146</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1355 <row><col><I>Philo$ophia principium duxit ab 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
1356 ratione.</I></col><col>5</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1357 <row><col><I>Philo$ophia e$t ars generalis omnibus 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
1358 ciendorum difficultatibus $uccurrens.</I></col><col>9</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1359 <row><col><I>Philo$ophandi, vt admirandi $emper oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1360 ca$io erit.</I></col><col>5</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1361 <row><col><I>Plumbum vtri a&euml;re pleno annexum tar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1362 dius de$cendit in aquim, quam $i non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1363 e$$et aunexum.</I></col><col>170</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1364 <row><col><G>*go/da e)<+>ei_n,</G> <I>&amp; canere quid.</I></col><col>95</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1365 <row><col><G>*go/des, &amp; p<+>o/podes.</G></col><col>96</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1366 <row><col><G>*golio<+>uitiu*h\</G> <I>pars Mechanices.</I></col><col>11</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1367 <row><col><G>*golu/w<+>ason.</G></col><col>111. 134</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1368 <row><col><I>Pons Luteti&aelig; ab Henrico 111. inchoatus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1369 ab Henrico 1111. perficietur.</I></col><col>120</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1370 <row><col><I>Pre&szlig;io porrecta.</I></col><col>14</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1371 <row><col><I>Problema difficillimum totius libri.</I></col><col>166</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1372 <row><col><I>Problematis a theoremate di$tinctio.</I></col><col>12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1373 <row><col><I>Progre&szlig;io in animali vt fit.</I></col><col>187</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1374 <row><col><I>Proiecta cur moueri de$inunt.</I></col><col>201</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1375 <row><col><I>in Proiectis impre$$a vis impellens &agrave; 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
1376 tore e$t can$a eorum lationis.</I></col><col>201</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1377 <row><col><I>Proiecta nec exigua nec magna $eruntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1378 procul.</I></col><col>203.205</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1379 <row><col><I>Publ. Scipio &amp; C. L&aelig;lius colligentes cro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1380 cas qu&aelig; dicerent.</I></col><col>123</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1381 <row><col><I>Purpura quid.</I></col><col>47.48</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1382 <row><col><I>Q</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1383 <row><col><I>Qvie$cens vim motoris diminuit.</I></col>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1384 <col>200</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1385 <row><col><I>R</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1386 <row><col><I>Radius minor plus retrahitur 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
1387 centrum, quam maior.</I></col><col>38.39</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1388 <row><col><I>Rectiline&aelig; figur&aelig;, &amp; cubus difficulter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1389 mouentur $uper planum.</I></col><col>102</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1390 <row><col><I>Remus quid.</I></col><col>63</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1391 <row><col><I>Remiges qui.</I></col><col>63</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1392 <row><col><I>Remigum differenti&aelig;.</I></col><col>64</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1393 <row><col><I>Remiges me$onei maxim&egrave; mouent na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1394 uim.</I></col><col>61</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1395 <row><col><I>Remi digitis manuum comparati.</I></col><col>65</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1396 <row><col><I>Remus vt plurimum maris diuidit.</I></col><col>71</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1397 <row><col><I>de Remi motione comparata ad motio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1398 nem nauis.</I></col><col>84.85.86.87.88.89</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1399 <row><col><I>qui Remig&utilde; plus nauim promoueant.</I></col><col>68</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1400 <row><col><I>in Rhombo punctum vnum extremum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1401 lateris motum duobus motibus minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1402 $paty conficit, quam latus ip$um.</I></col><col>159</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1403 <row><col><I>Rhombus con$tituitur cuius angulus acu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1404 tus e$t dimidio obtu$i minor.</I></col><col>161</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1405 <row><col><I>in Rhombo alterum punctorum 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
1406 morum non &aelig;qualem rect&atilde; tran$it.</I></col><col>157</col></row>
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parents:
diff changeset
1407 <row><col><I>Rhombus quid.</I></col><col>159</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
1408 <row><col><I>Rot&aelig; bin&aelig; quaternis faciliores.</I></col><col>111</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1409 <row><col><I>in Rotis quaternis po$teriores prioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1410 maiorese$$e debent.</I></col><col>111</col></row>
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parents:
diff changeset
1411 <row><col><I>Rot&aelig; curruum maiores commodiores 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
1412 facilitatem &amp; celeritatem.</I></col><col>110</col></row>
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casties
parents:
diff changeset
1413 <row><col><I>Rotunda figura difficulter patitur.</I></col><col>124</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1414 <row><col><I>Rotunda maiora facilius mouentur mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1415 noribus.</I></col><col>99.100</col></row>
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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1416 <row><col><I>Rot&utilde;dorum motus accurata diui$io.</I></col><col>100</col></row>
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parents:
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1417 <row><col><I>S</I></col><col></col></row>
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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1418 <row><col><I>Sarcina maior in anteriore plaustri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1419 parte poni debet.</I></col><col>111</col></row>
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casties
parents:
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1420 <row><col><I>Saxa tritalantaria $impliciter non $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1421 magna.</I></col><col>204</col></row>
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parents:
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1422 <row><col><I>Scorpionis ictus.</I></col><col>129</col></row>
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casties
parents:
diff changeset
1423 <row><col><I>Scytala quid, &amp; quotuplex.</I></col><col>111.114</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1424 <row><col><I>Scytal&aelig; v$us duplex.</I></col><col>111</col></row>
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casties
parents:
diff changeset
1425 <row><col><I>Super Scytalis onera facilius ge$tantur,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1426 <pb>
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casties
parents:
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1427 <I>quam $uper curribus.</I></col><col>113</col></row>
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parents:
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1428 <row><col><I>Securis magna diuidit.</I></col><col>145</col></row>
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casties
parents:
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1429 <row><col><I>Securis feriens diuidit, premens non
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parents:
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1430 item.</I></col><col>144</col></row>
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parents:
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1431 <row><col><I>Securis e$t cuneus annexus malleo.</I></col><col>145</col></row>
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parents:
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1432 <row><col><I>Sedere quid.</I></col><col>194</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1433 <row><col><I>Sedens caput habet ad pedes parallelum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1434 &amp; nequaquam in vnarecta.</I></col><col>193</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1435 <row><col><I>Sedentari&aelig; artes vtuntur $e&szlig;ione $ecu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1436 ra.</I></col><col>197</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1437 <row><col><I>Sedile idem non congruit omni homini.</I></col>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1438 <col>196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1439 <row><col><I>Se&szlig;io propri&egrave; dista &amp; lat&egrave;</I></col><col>197</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1440 <row><col><I>Se&szlig;io cum $ecuritate.</I></col><col>197</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1441 <row><col><I>Sedens altius $urgit facilius.</I></col><col>197.198</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1442 <row><col><G>*e*h/mwma</G> <I>quid.</I></col><col>151</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1443 <row><col><I>Spartion pro an$a.</I></col><col>148</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1444 <row><col><I>Sph&aelig;ra quale corpus.</I></col><col>16</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1445 <row><col><I>Sph&aelig;ra corpus e$t mobili&szlig;imum &amp; mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1446 uenti&szlig;imum.</I></col><col>16</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1447 <row><col><I>Sph&aelig;ra contingit planum in puncto.</I></col><col>101</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1448 <row><col><I>Sph&aelig;ra Archimedis per $e mobilis non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1449 e$t fabula.</I></col><col>26</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1450 <row><col><I>Sph&aelig;ratop&aelig;ia pars e$t mechanices.</I></col><col>11</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1451 <row><col><I>Stater&aelig; partes.</I></col><col>147</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1452 <row><col><I>Stater&aelig; v$us.</I></col><col>148</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1453 <row><col><I>Statera in pretio$is expendendis non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1454 v$urpatur, $ed libra.</I></col><col>147</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1455 <row><col><I>Statera commodior libra.</I></col><col>147</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1456 <row><col><I>Statera vna mult &aelig; $unt libr&aelig;.</I></col><col>148.149</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1457 <row><col><I>Statera e$t vectis inuer$us.</I></col><col>150</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1458 <row><col><I>Stater&aelig; paruo &aelig;quipondio magna ponde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1459 ra expendunt.</I></col><col>146.147.148</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1460 <row><col><I>Stater&aelig; dimidium e$t an$a.</I></col><col>148</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1461 <row><col><I>Per Stateram ponderationis fact&aelig; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1462 mon$tratio.</I></col><col>152</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1463 <row><col><I>Stare quid.</I></col><col>194</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1464 <row><col><I>Stans e$t perpendicularis terr&aelig;.</I></col><col>193</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1465 <row><col><I>Stantis di$po$itio e$t in recta linea.</I></col><col>196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1466 <row><col><I>Statio &amp; $e&szlig;io propria s&utilde;t homini.</I></col><col>194</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1467 <row><col><G>*etata</G> <I>qu&aelig;.</I></col><col>10</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1468 <row><col><I>Succula quid.</I></col><col>119</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1469 <row><col><I>Surrectio e$t motio.</I></col><col>194</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1470 <row><col><I>Surrectio &egrave; iacente indiget acutis angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1471 lis.</I></col><col>197</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1472 <row><col><I>Surgentes con$tituunt angulum acutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1473 ex femore cum tibia, tum ex thor&aelig;ce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1474 &amp; femore.</I></col><col>193.195.196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1475 <row><col><I>Surrectionis initium fit per acutos angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1476 los.</I></col><col>198</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1477 <row><col><I>Surrectionis medium fit per rectum, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1478 obtu$os angulos.</I></col><col>198</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1479 <row><col><I>Symmetria quid.</I></col><col>19</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1480 <row><col><I>Symmetria pro analogia.</I></col><col>205</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1481 <row><col><I>T</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1482 <row><col><I>Telum facilius ten$a penetrat, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1483 laxa.</I></col><col>202</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1484 <row><col><I>Terra cur immobilis.</I></col><col>103.104</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1485 <row><col><I>Terra comparata cubo &agrave; Pythagoreis, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1486 Platone.</I></col><col>103.196</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1487 <row><col><I>Textus Ari$totelis omnium mendo$i$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1488 $imus.</I></col><col>178.179</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1489 <row><col><I>Thaletis factum in eclip$i Solis.</I></col><col>5</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1490 <row><col><G>*qanmatou<+>gim*h\</G> <I>pars Mechanices.</I></col><col>11</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1491 <row><col><I>Theorematis &agrave; problemate di$tinctio.</I></col><col>12</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1492 <row><col><I>Tolleno quid.</I></col><col>188.189</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1493 <row><col><I>Tollenonis v$us.</I></col><col>189</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1494 <row><col><I>Tollenonis tran$uer $ario pondus adie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1495 ctum.</I></col><col>188.190</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1496 <row><col><I>Tormenta bellica deducenda plures equos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1497 po$tulant.</I></col><col>110.111</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1498 <row><col><I>Traba quid.</I></col><col>115</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1499 <row><col><I>Trispa$ton.</I></col><col>111.134</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1500 <row><col><I>Trochlea quid.</I></col><col>111.134</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1501 <row><col><I>Trochlea e$t vectis.</I></col><col>136</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1502 <row><col><I>in Trochleis plures orbiculi facilius, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1503 lentius trahunt.</I></col><col>137</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1504 <row><col><I>Trochle&aelig; du&aelig; legitim&egrave; compofit&aelig; magna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1505 pondera adducunt.</I></col><col>133.134.136</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1506 <row><col><I>V</I></col><col></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1507 <row><col><I>Vectis quid.</I></col><col>14.55</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1508 <row><col><I>Vectis, cuneus.</I></col><col>119</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1509 <row><col><I>Vectis partes.</I></col><col>14.15</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1510 <row><col><I>Vectis v$us duplex.</I></col><col>55</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1511 <row><col><I>Vectis refert libram.</I></col><col>57</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1512 <row><col><I>pro Vecte vnum $tadium longo machin&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1513 mult&aelig; $imul.</I></col><col>139</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1514 <row><col><I>Velum quid.</I></col><col>92</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1515 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1516 <row><col><I>Veli$pecies.</I></col><col>92</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1517 <row><col><I>Ventus $ecundui, aduer$us, iran$uer$us,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1518 obliquus.</I></col><col>96</col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
1519 <row><col><I>Vento vt codem in contrarias partes na-
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diff changeset
1520 uigatur demonstratio.</I></col><col>98</col></row>
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1521 <row><col><I>in Vortice aquarum lata ad medium de-
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diff changeset
1522 uoluuntur.</I></col><col>206.207.209.210</col></row>
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diff changeset
1523 <row><col><I>Vortex aquarum.</I></col><col>206</col></row>
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1524 <row><col><I>in Vortice aquo$i multi circuli concentri-
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diff changeset
1525 ci.</I></col><col>206</col></row>
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diff changeset
1526 <row><col><I>Vortex aqu&aelig; e$t linea $piralis vnius, aut
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diff changeset
1527 plurium reuolutionum.</I></col><col>209</col></row>
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diff changeset
1528 <row><col><I>Vortices quomodo &agrave; nautis vitentar.</I></col><col>210</col></row>
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diff changeset
1529 <row><col><I>Vortices inter Roe$t &amp; Loffoet.</I></col><col>210</col></row>
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diff changeset
1530 <row><col><I>in Vorticem vt $entiunt naut&aelig; $e impe-
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diff changeset
1531 <*>gi$$e.</I></col><col>210</col></row>
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1532 <row><col><I>difficile $e liberare &agrave; Vortice.</I></col><col>210.211</col></row>
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diff changeset
1533 <row><col><I>aquain Vortice de$c&etilde;d&etilde;s qu&ograve; feratur.</I></col><col>211</col></row>
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diff changeset
1534 <row><col><I>Vtilitas hominum postulat in operibus
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diff changeset
1535 $uis varietatem.</I></col><col>6</col></row>
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diff changeset
1536 <row><col><I>X</I></col><col></col></row>
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diff changeset
1537 <row><col><I>Xystus V. Pont. Max. obeli$ci tran$-
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diff changeset
1538 ferendi author.</I></col><col>139</col></row>
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diff changeset
1539 <row><col><I>Xysti V. Pontificis laus.</I></col><col>142</col></row>
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1540 <row><col><I>Z</I></col><col></col></row>
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1541 <row><col><G>*zugo(s &amp; *zugo\n.</G></col><col>45.119</col></row>
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diff changeset
1542 <row><col><G>*zugosa/ths.</G></col><col>45</col></row>
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diff changeset
1543 <row><col><I>Zygostatica fides.</I></col><col>45</col></row>
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diff changeset
1544 </table>
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diff changeset
1545 <head>FINIS.</head>
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diff changeset
1546 <p n=>1</p>
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diff changeset
1547 <fig>
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diff changeset
1548 <head><G>*a*r*i*s*t*o*t*e*l*o*u<+></G>
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diff changeset
1549 MHX ANIKA.
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diff changeset
1550 ARISTOTELIS
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diff changeset
1551 MECHANICA.</head>
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diff changeset
1552 <marg>Pro <G>mhxanh\,</G>
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diff changeset
1553 lege <G>mhxani-
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diff changeset
1554 kh/.</G></marg>
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diff changeset
1555 <head><G>Ti<+>st mhxanh\, kai_\ w<+>i\ ku/klou, <+> c)n toi_s mhxanikoi_s
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diff changeset
1556 <+>ow masi/wn ai)ti/an e)/xontos.</G></head>
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1557 <head><I>Quid e$t Mechanice, &amp; de circulo in quo admirabilium,
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diff changeset
1558 qu&aelig; $unt in Mechanicis, cau$a continetur.</I></head>
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diff changeset
1559 <P><+></P>
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diff changeset
1560 <P>MIRA $unt in his, qu&aelig;
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1561 $ecund&utilde; natur&atilde; eue-
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1562 ni&utilde;t, ea: quor&utilde; cau$a igno-
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diff changeset
1563 ratur, &amp; in his qu&aelig; pr&aelig;ter
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1564 naturam, ea, qu&ecedil;cunq; arte
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1565 facta hominibus c&otilde;ferunt.</P>
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diff changeset
1566 <head>COMMENTARIVS.</head>
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1567 <P><I>Cardanvs librum hunc Ari$totelis peripate-</I>
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diff changeset
1568 <marg>Lib. de pro-
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1569 port.</marg>
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1570 <I>ticorum principis e$$e non arbitratur, propter man-
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1571 cam, &amp; paulo negligentiorem motuum rotundo-
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1572 rum in eo po$itam diui$ionem. Franci$cus Patri-</I>
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diff changeset
1573 <marg>Tom.I.li.3.
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1574 Di$cu$$io-
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1575 num pori-
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1576 patctic.</marg>
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1577 <I>cius vbi in omnes Ari$totelis libros diligenter in-
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1578 quirit, ab eorum numero exclu$it, cau$am tamen attulit nullam, ni$i
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1579 quod multi libri magnorum virorum nomine circumferantur, quo-
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diff changeset
1580 rum ip$i authores non $unt. quod licet verum e$$e multis rationibus,</I>
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diff changeset
1581 <foot>A</foot>
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1582 <p n=>2</p>
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1583 <I>testimoniis, &amp; exemplis coufirmarit: ob id tamen hunc Ari$toteli
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1584 detrahendum e$$e, non e$t nece$$e. Quid ita? Ip$emet Patricius fate-
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1585 tur hunc</I> <G><+> mhxanikw_n</G> <I>librum doctum e$$e, &amp; elegantem: addo
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1586 &amp; $ubtilem, &amp; ab Ari$totelis ver&utilde; in vnaquaque re, $implex. $yn-
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1587 cerumque exquirentis ingenio minime abhorrentem, vt ip$um, &amp;
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1588 no$tros in ip$um commentarios cuique legenti manife$tum euadet.
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1589 Phra$is non repugnat, $i cumea c&otilde;feratur, qu&aelig; fuit familiaris Ari-
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1590 $toteli in mathematicis, vt cum de Iride, aut de lineis in$ecabilibus
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1591 di$putat. Diogenes La&euml;rtiusinter Ari$totelis monumenta</I> <G>mhxani-
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1592 kw_n</G> <I>vnum recen$uit. Multi clari viri no$tri temporis vt Daniel
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1593 Barbarus &amp; Guidus Vbaldus $&aelig;pe velut ab Ari$totele citant. No-
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diff changeset
1594 nius interpretatus e$t$uis di$cipulis. Cardaniratio parui e$t mom&etilde;ti.
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1595 quia Ari$toteles etiam in his, qui genuini $unt eius libri $ine contro-
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1596 uer$ia, non $emper rerum exqui$itas diui$iones in$tituit. Quare hunc
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1597 librum Ari$totelis e$$e putabimus, quou$que exoriatur aliquis, qui
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1598 vel hunc $ibi vendicare, vel al&yuml; tribuere, potiori iure po&szlig;it.</I></P>
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1599 <P>Mechanica] <I>Huius libri du&aelig; $unt partes. prior generalis e$t
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1600 in explicatione cau$arum &amp; principiorum, quibus machin&aelig; in mo-
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1601 uendo magnas, &amp; admirabiles vires habent: po$terior $pecialis e$t
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1602 in explicatione 25. qu&aelig;stionum de quarundam machinarum viribus
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1603 &amp; effectis. H&aelig;cautem</I> <G><+> mhxanikw_n</G> <I>titulo recte exprimuntur.
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1604 quia Mechanica dicta$unt</I> <G><+>po\ th_s mhxanh_s. &amp; *mhxanh\ <+>po\ tou_
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1605 mh/kous kai\ a)n/ein,</G> <I>id e$t long&egrave; vel mult&ugrave;m a$cendere, pertingere, pene-
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1606 trare, vt e$t apud Platonem in Cratylo, vnde non qu&aelig;libet artifi-
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1607 cia protrita &amp; vulgaria Mechanica dicenda $unt, $ed ea tantum
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1608 qu&aelig; vtiliter &amp; incund&egrave; $uccurrunt, &amp; adminioulantur difficul-
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1609 tatibus qu&aelig; in actionibus humanis $e$e obtrud&utilde;t, ip$a$que impedi&utilde;t.</I>
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1610 <G>*mhxanh\</G> <I>autem ide$t machina definitur &agrave; Vitruuio, continens ex
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1611 materia coniunctio, qu&aelig; maximas habet, ad onerum motus virtu-
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1612 tes: &amp; &agrave; P<*>nio in$trumentum, quo moles aliquafacile, quocumque
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1613 volueris imp<*>lli pote$t. Igitur tum h&aelig;c in$trumenta &amp; machin&aelig;:
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1614 tum doctrina, qu&aelig; virium, quibus h&aelig;cpollent, rationem docet, &amp;
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1615 explicat, recl&egrave; Mechanica in$cribuntur. Sed vereor, ne h&aelig;clibri
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1616 in$criptio, ex vulgari <*>tium diui$ione in liberales &amp; mechanicas,
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1617 quid $or<*>di $ubolens multis, ip$os ab huius libri lectione deterruerit
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1618 &amp; deterrea<*>. At qu&aelig;<*> umque, cluenda e$t macula. Manauit enim &agrave;</I>
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1619 <p n=>3</p>
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1620 <I>quibu$dam philo$ophis, ii$que otio$is, qui vt maiorem dignitatem
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1621 $ibi fingerent, eas artes nobilitatis titulo ornduere, qu&aelig; in $ola con-
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1622 templatione ver$arentur, &amp; contemplantis duntaxat ingenium
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1623 acuerent, atque perficerent: viles autem eas putduere, qu&aelig; ocium fu-
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1624 gientes, in negotio atque efficientia occuparentur. At &yuml; melius
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1625 meo iudicio feci$$ent, $i eas, qu&aelig; ita corporis adminiculo exercen-
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1626 tur, vt animi $tudium non multum requirant, cum Gr&aelig;cis appel-
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1627 la$$ent, non</I> <G>mhxanika\s,</G> <I>(neque enim h&icirc;c id vocabuli v$urpant)
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diff changeset
1628 $ed</I> <G>fau/las, a)neleuqirous <+>anow/oous a)<+>ai/ous</G> <I>viles, illiberales,
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1629 $ordidas, circunforaneas. Melius e$t ergo rem i$tam paulo altius re-</I>
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1630 <marg>Lib I.cap i.
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diff changeset
1631 Ethic.</marg>
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1632 <I>petitam aliquantum vltra per $uas $pecies deducere. Cum omnis ars,
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1633 vt e$t apud Ari$totelem, referatur ad bonum, nulla per $e vilis cen-
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1634 $eridebt, immo omnis po$$e$$orem $uum vel meliorem vel vtilio-
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diff changeset
1635 rem $ibi, vel $u&aelig; ciuitati reddit: at inter $e comparat&aelig; ali&aelig; al<+>is pr&aelig;-
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diff changeset
1636 $tantiores existimat&aelig; $unt. vnde nata e$t h&aelig;c vulgaris artium diui-
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1637 $io, vt ali&aelig; liberales e$$ent: ali&aelig; mechanic&aelig;. qu&aelig; his duobus ver$ibus
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1638 exprimuntur.</I></P>
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1639 <P>Lingua, Tropus, Ratio, Numerus, Tonus, Angulus, A$tra:
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diff changeset
1640 Rus, Nemus, Arma, Faber, Vulnera, Lana, Rates.</P>
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1641 <P><I>horum priore $ignificantur Grammatica, Rhetorica, Dialectica,
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diff changeset
1642 Arithmetica, Mu$ica, Geometria, A$trologia, liberales ob id di-
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diff changeset
1643 ct&aelig;, $iue ingenu&aelig;, quod illis excolatur animus, qui libera &amp; ingenua
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1644 pars e$t hominis: Sed &amp; pueriles, quia his ingenui pueri primis an-
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diff changeset
1645 nis, $tatim imbiberentur tanquam pr&aelig;uiis, &amp; ad cape$$endas $cien-
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diff changeset
1646 tias &amp; magnas artes nece$$ariis. Scienti&aelig; autem erant Philo$ophia
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diff changeset
1647 moralis, Phy$ica, Medicina, Iuri$prudentia, Theologia. Poste-
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diff changeset
1648 riore $ignificatur Agricultura, Venatoria, Militaris, Fabrilis,
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diff changeset
1649 Chirurgia, Lanificium, Nautica. In quarum $ingulis ali&aelig; $unt im-
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diff changeset
1650 perantes, qu&aelig; &amp; architectonic&aelig; dicuntur: ali&aelig; mini$trantes. Impe-
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diff changeset
1651 rantes, habere debent pr&aelig;uias illas $eptem liberales ante dictas, vt
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1652 videre e$t apud Vitruuium de $uo architecto, &amp; in no$tro com-
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1653 mentario Iuri$iurandi Hipp. de Hippocrateo medico: apud Virgili&utilde;
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1654 de $uo agricola: apud Vegetium de $uo imperatore, &amp; eadem ratione
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diff changeset
1655 in reliquis: ita vt, qui imperantibus i$tis artibus pr&aelig;diti fuerint, in-
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1656 ter homines pr&aelig;$tanti&szlig;imi habiti $emper $int, &amp; $emper haberi
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1657 debeant, quanquam aliarum opera aliis aut nece$$aria magis, aut</I>
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1658 <foot>A ij</foot>
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1659 <p n=>4</p>
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1660 <I>pr&aelig;$tantiora, aut vtiliora, aut certiora exi$tant. Agricultur&aelig; enim
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parents:
diff changeset
1661 opus, quod alimenta &amp; medicamenta hominibus $uppeditat, nece&szlig;i-
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1662 tate vincit c&aelig;tera: victoria, qu&aelig; rebelles &amp; hostes $ub&yuml;cit, proprios
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1663 ciues con$eruat, vtilitate $upereminet: Medicina nobilitate $ubiecti,
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1664 &amp; pr&aelig;stantia boni nempe $anitatis, quam procurat, eximia e$t: Cer-
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parents:
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1665 titudine operis &amp; operationis Fabrilis anteponenda omnibus: vt
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parents:
diff changeset
1666 Lanificium, quod ad opes hone$te parandas: &amp; Nautica propter
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1667 mercaturam faciunt omnium maxim&egrave;. Imperantes etiam hoc ha-
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diff changeset
1668 bent, quod eorum, qu&aelig; efficiunt, rationes teneant: Iuueniles corporis
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1669 vires non requirant: vit&aelig; po$$e$$oris $ui $int &aelig;quales. Mini$trantes
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1670 non item: $ed v$u potius &amp; con$uetudine di$cantur &amp; exerceantur:
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1671 Iuueniles vires po$tulent, &amp; po$$e$$orem $uum in $enectute de$e-
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1672 rant. Ex &yuml;s aliis ali&aelig; materias apparant: ali&aelig; in$trumenta fabrican-
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1673 tur. In$trumentorum omnium ratio con$i$tit in certa quadam figu-
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1674 ra, qua qu&aelig; eam habent, ad v$um commodiora $unt. Cur autem h&aelig;
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1675 figur&aelig; apti&szlig;im&aelig; $int nulla mini$tr&atilde;tium rationem inue$tigat: Satis
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1676 habent, $i modum fabricandi &amp; vtendi tenuerint. harum tamen
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1677 aliquot, cum cert&aelig; rationes e$$ent $ubtiles, &amp; &agrave; fontibus Geometri&aelig;
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1678 petit&aelig;, ip$as hoclibello ver&egrave; aureo, &amp; intelligentibus periucundo
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1679 Ari$toteles partim generaliter, &amp; ex $uis principiis, partim per ali-
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1680 quot ex&etilde;pla, &agrave; rebus multis vari&iacute;$que petita explicuit. Ob quod liber
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1681 rect&egrave; in$cribitur</I> <G>mhxa/nika,</G> <I>quia hic explicet cau$as virium in-
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1682 $trumentorum ad Mechanicas artes pr&aelig;dictas pertinentium. cur
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1683 $cilicet ea, quam habent, pr&aelig;dita figura v$ui, &amp; effectui commodio-
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1684 ra exi$tant.</I></P>
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1685 <P>Quid e$t Mechan.] <I>Summa e$t eorum, qu&aelig; hoc primo capite
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1686 explicantur, $ed imperfectior: quia non, quid $it mechanice, $ed
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1687 quod $it ars admirabilis, &amp; quod circulus omnium, qu&aelig; fiunt in
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1688 Mechanica, admirabilium e$$e cau$a o$tenditur: pr&aelig;ter qu&aelig; etiam
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1689 docetur problemata mechanica partim e$$e Phy$ica, partim e$$e Ma-
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1690 thematica.</I></P>
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1691 <P>Mira $unt in his:] <I>Similitudo h&icirc;c qu&aelig;dam e$t: $ed $ine notis
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1692 $imilitudinis expre$$a. $ic igitur erit clarior. Quemadmodum in re-
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1693 bus naturalibus mir&aelig; $unt ill&aelig;, quarum cau$a ignoratur: ita &amp; in
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diff changeset
1694 his, qu&aelig; pr&aelig;ter naturam arte fact&aelig; hominibus conferunt, $i &amp; ea-
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1695 rum cau$a lateat, vbi notandum admirationem e$$e animi in rem</I>
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diff changeset
1696 <p n=>5</p>
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1697 <I>propo$itam intuitionem cum cupiditate cau$am cogno$cendi: ex quo
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diff changeset
1698 intelligitur Deum qui cogno$cit &amp; tenet cau$as omni&utilde;, Bruta quia
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1699 ne$ci&utilde;t, nec $cire cupiunt, nihil admirari: $ol&utilde; hominem inter vtro$-
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diff changeset
1700 que po$itum, qui ne$ciat, $cire autem cupiat, admirationis e$$e capa-
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diff changeset
1701 cem, vnde non $unt $impliciter intelligendi hi ver$us Horatiani,</I></P>
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diff changeset
1702 <P>Nil admirari prop&egrave; res e$t vna Numici,</P>
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diff changeset
1703 <P>Sol&aacute;que qu&aelig; po$$it facere &amp; $eruare beatum.</P>
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diff changeset
1704 <P><I>Nec enim h&aelig;c res facit Bruta, nec homines, qui ignorant, $ed $cire
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diff changeset
1705 $eputant, aut $cire non cupiunt, f&oelig;lices: $ed eos, qui cogno$cunt, iux-
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diff changeset
1706 ta illud</I></P>
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diff changeset
1707 <P>F&oelig;lix, qui potuit rerum cogno$cere cau$as.</P>
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diff changeset
1708 <P><I>Ab hac admirandi facultate Ari$toteles principi&utilde; Philo$ophi&aelig; re-</I>
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diff changeset
1709 <marg>Cap. 2. lib. 2.
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diff changeset
1710 Metaph.</marg>
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diff changeset
1711 <I>pet&yuml;t. Qui enim, inquit, admiratur, putat $e ignorare, &amp; dubit&atilde;s co-
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diff changeset
1712 natur dubitationibus $uis $uccurrere. Homo natura fugiens e$t igno-
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diff changeset
1713 ranti&aelig;. Itaq; prim&ograve; &egrave; dubitatis faciliora inqui $iuit, deinde paulatim
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diff changeset
1714 vlterius procedens eti&atilde; maiora, vt de affectionibus Lun&aelig;, &amp; &yuml;s qu&aelig;
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diff changeset
1715 circa Solem &amp; $tellas fiunt, ac de generatione vniuer $i: atque $ic
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diff changeset
1716 Philo$ophia orta e$t, $icque Philo$ophus non $olum rara &amp; ingen-
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diff changeset
1717 tia, vt vulgus, $ed etiam frequentia &amp; exigua, $i cau$as latentes ha-
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diff changeset
1718 beant, admiratur, &amp; quidem cum voluptate: in quo etiam di$$entit &agrave;
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diff changeset
1719 vulg&ograve;, qui qu&aelig; admiratur, $&aelig;pe horret, vt Eclip$es Solis &amp; Lun&aelig;,</I>
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diff changeset
1720 <marg>Cap. 6. lib. 5.
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diff changeset
1721 De benefic.</marg>
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diff changeset
1722 <I>quod de Archelao rege Seneca memorat rerum natur&aelig; ade&ograve; ignaro,
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diff changeset
1723 vt quo die Solis defectio fuit, regiam clau$erit, &amp; filium, quod in
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diff changeset
1724 luctu &agrave; rebus aduer$is moris e$t, totunderit. quam contra Thales
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diff changeset
1725 rerum natur&aelig; gnarus in aperto fixis in peluim oculis magna cum
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diff changeset
1726 animi l&aelig;titia intuitus e$$et.</I></P>
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diff changeset
1727 <P>Quorum cau$a ign.] <I>In rebus naturalibus cau$arum omne
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diff changeset
1728 genus ine$t, materia, efficiens, forma, finis. Et in $ingularium conti-
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diff changeset
1729 nentium &amp; proximarum inuentione, &amp; earum ad primam redu-
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diff changeset
1730 ctione Philo$ophia con$i$tit. Sunt autem eiu$modi, vt ex his ali&aelig;
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diff changeset
1731 not&aelig; iam $int, ali&aelig; adhuc ignot&aelig; per$i$tant, vnde numquam $tudio-
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diff changeset
1732 $is deerit admirandi, &amp; propterea philo$ophandi occa$io: difficiles
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diff changeset
1733 tantum, $alebro$o$que aditus habens, $iquidem</I></P>
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diff changeset
1734 <P>Multa tegit $acro inuolucro Natura, neque vllis</P>
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diff changeset
1735 <P>Fas e$t $cire quidem mortalibus omnia: multa</P>
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1736 <P>Admirare mod&ograve;, nec non venerarc.</P>
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1737 <foot>A iij</foot>
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1738 <p n=>6</p>
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1739 <P><I>abiecti cert&egrave; ac be$tias imitantis hominis e$t, qu&aelig; ne$ciat, non admi-
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parents:
diff changeset
1740 rari, &amp; $i curis, negoti&iacute;$que nece$$ar&yuml;s vacuus e$t, non inquirere,
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diff changeset
1741 &amp; venerari.</I></P>
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parents:
diff changeset
1742 <P><+></P>
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1743 <P>In multis enim natura ab
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parents:
diff changeset
1744 vtilitate no$tra di$cedit. Si-
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parents:
diff changeset
1745 quid&etilde; natura eod&etilde; modo
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1746 s&etilde;per operatur &amp; $implici-
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parents:
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1747 ter: Atali&utilde; atq; alium ple-
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parents:
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1748 rumque po$tulat vtilitas.
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1749 Qu&atilde;do igitur conuenit fa-
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parents:
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1750 cere aliquid pr&ecedil;ter natur&atilde;,
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1751 t&utilde; difficultas h&aelig;$itationem
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diff changeset
1752 adfert, &amp; arte opus e$t.</P>
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1753 <head>COMMENTARIVS.</head>
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1754 <P>In multis enim.] <I>Secunda ratio e$t ad probandum in arte fa-
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parents:
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1755 ctis quibu$dam aliquid mirum e$$e, deprompta e$t ex effectis Na-
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parents:
diff changeset
1756 tur&aelig; contrar&yuml;s, $altem repugnantibus, $yllogi$mus $ic in$titutus
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parents:
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1757 rem ip$am illu$trabit.</I></P>
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parents:
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1758 <P><I>Naturam ali&ograve; flectere &amp; adducere, quam vergat, mirum e$t,
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parents:
diff changeset
1759 quia difficultas ex renixu natur&aelig; dubitationem parit.</I></P>
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parents:
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1760 <P><I>In his qu&aelig; arte fiunt ali&ograve; natura flectitur &amp; adducitur, quam
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parents:
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1761 vergat. Natura enim eodem modo $emper agit, v$us autem re-
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parents:
diff changeset
1762 rum humanarum varios modos po$tulat.</I></P>
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1763 <P><I>Igitur in arte factis aliquid mirum e$t. Pro a$$umptione a$$um-
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parents:
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1764 ptionis confirmatio est ex effectis, &amp; effectorum modo natur&aelig; &amp;
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parents:
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1765 artis. Natura enim in multis inclinat ali&ograve;, quam vtilitas hominum
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parents:
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1766 po$tulat: Natura item vno modo $emper operatur: contra Ars vti-
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parents:
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1767 litatem hominem $emper $pectat, &amp; varios operandi modos pro-
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parents:
diff changeset
1768 $equitur.</I></P>
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parents:
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1769 <P>Siquidem Natura.] <I>Naturalia principium in $e habent $ui
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parents:
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1770 motus, quo $i $implicia $unt, ad vnum &amp; vno modo $impliciter
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parents:
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1771 mouentur: $i commixta pr&aelig;dominantis vnius motum $equuntur,
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parents:
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1772 $icque ad vnum feruntur. H&aelig;c $unt demon$trata ab Aristotele</I>
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parents:
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1773 <p n=>7</p>
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parents:
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1774 <I>lib. de C&oelig;lo &amp; de generat. &amp; corrupt.</I></P>
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1775 <P>At alium atque alium.] <I>Hominum vtilitas tum ad e$$e tum
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parents:
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1776 ad bene e$$e multa vari&aacute;que mult&ograve; aliter quam natura pr&aelig;ferat, pe-
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parents:
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1777 tit $ibi fieri, vt alim&etilde;ta &amp; copio$iora, &amp; aliter apparata: qu&atilde; terra,
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parents:
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1778 a&euml;r, &amp; mare $ponte $ua $uppeditent: vt ve$titum, quem connexus
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parents:
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1779 $taminis cum $ubtegmine faciens corpora tegendo, ip$a probe tuetur
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1780 &amp; ornat: vt &aelig;dificia, qu&aelig; trabium, lapidumque pr&aelig;ter naturam ad
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1781 $uperiorem locum euectio &amp; coagmentatio vtilia facit, ad defen$io-
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1782 nem contra c&oelig;li, a&euml;ris, extern&aacute;$que qua$uis iniurias. Quinetiam va-
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1783 rietas c&otilde;tra natur&aelig; cur$um expetitur in delectabilibus vt hydrauli-
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1784 cis, engebatis, merulis, &amp; icunculis voces, cantus, ge$tus hominum,
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1785 auium, aliorumque animalium imitantibus.</I></P>
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1786 <P>Quando igitur.] <I>Omnia licet habeat homo $ui gratia nata: non
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1787 ita tamet habet, vt qualia naturaliter prodeunt, talibus c&utilde;ctis com-
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1788 mode vti po&szlig;it. Nece&szlig;itate igitur &amp; commoditate vtendi rebus &agrave;
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1789 natura oblatis pre$$us, conuertit ad $uos v$us &amp; acc&otilde;modat: $ed con-
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1790 uer$io i$ta, cum $it deductio ad aliud, quam qu&ograve; vergit natura, habet
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1791 in &yuml;s naturale principium renitens: hic renixus parit difficultatem
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1792 conuer$ionis: h&aelig;c difficultas huc illuc animum hominis cogitando,
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1793 qu&aelig;rend&oacute;que, quomodo difficultas i$ta $uperetur, di$trahit, facitque,
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1794 vt mente diu ver$et, quid &amp; quomodo agendum, exempli gratia. vt
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1795 onus $ubleuet, alt&egrave; ip$e con$cendat, vehementer quatiat, long&egrave; iacu-
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1796 letur, &amp; ea demum faciat, velit nolit natura, qu&aelig; vtilitati homi-
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1797 num $eruiant. H&aelig;c cura $olicitud&oacute;que vrget imaginationem, vt lu-
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1798 men &agrave; mente mutuantem &amp; &agrave; rationibus mathematicis, nec quodam
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1799 $ucce$szlig;ionis ordine defatigari ration&etilde; &amp; quie$cere $mit, priu$quam
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1800 quod qu&aelig;ritur, inuentum $it. Illud inuentum, mod&uacute;$ve inuenicndi
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1801 generalis e$t. h&icirc;c particulariter ad machin&atilde; in$trument&aacute;q; refertur,
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1802 quibus oner&utilde; motiones fiant opportun&aelig;, per motiones intellige, qu&aelig;
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1803 fiunt &agrave; loco ad locum, vt impul$iones, tractiones, volutationes, ve-
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1804 ctiones, &amp; in locis altis, med&yuml;s, imis pro v$u &amp; decoro repo$itiones:
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1805 per onera, quicquid ali&ograve; quam qu&ograve; naturaliter vergit, impellitur, vt
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1806 a&euml;rem, cum deor$um de$cendere cogitur, vt aquam, vt terram cum
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1807 $ur$um a$cendere, &amp; eiu$modi, qu&aelig; vulgus cum admiratione $u$pi-
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1808 cit, &amp; ni$i fierent, nulla res no$tra non e$$et impedita Atque $ic ra-
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1809 tio hominis nece$sitate v$us, &amp; vtilitatis $u&aelig; pre$$a, efficiens cau$a</I>
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1810 <p n=>8</p>
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1811 <I>Mechanices hic $tatuitur: vt e$t etiam $tatuta &agrave; Vitruuio $ed &amp; per</I>
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1812 <marg>Lib. 10.</marg>
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1813 <I>imitationem rerum &agrave; natura procreatarum. Homo enim inquit, ani-
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1814 maduertens Solis, Lun&aelig;, &amp; reliquorum planetarum continentes
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1815 motus, &amp; machinationes naturales, $ine quibus non habui$$et in
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1816 terra lucem, &amp; fructuum maturit ates hinc exempla $ump $it, &amp; ea
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1817 imitans, inductus rebus diuinis, commodas vit&aelig; perfecit explicatio-
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1818 nes. Itaque comparauit, vt e$$ent expeditiora alia machinis, &amp; ea-
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1819 rum ver$ationibus: alia organis, qu&aelig;que ob$eruauit ad v$um vtilia
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1820 e$$e $tud&yuml;s, artibus, in$titutis, doctrinis gradatim augenda curauit:
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1821 hinc tandem extat ars qu&aelig;dam generalis qu&aelig; difficultati faciendo-
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1822 rum pr&aelig;ter naturam ad vtiltiatem hominum $uccurrit.</I></P>
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1823 <P>Tum difficultas.] <I>Natur&aelig; renixus difficultatem facit. Re-
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1824 nititur autem Natura $ub$tantia, numero, magnitudine, pondere,
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1825 figura, qu&aelig; omnia ars immut&atilde;do, addendo, detrahendo, tr&atilde;$ponendo,
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1826 poliendo, figurando corrigit, &amp; ad v$us humanos accommodat.</I></P>
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1827 <P><+></P>
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1828 <marg><G><+>xanik<+>.</G></marg>
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1829 <P>Atque propterea partem
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1830 illius artis qu&aelig; h&aelig;$itationi
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1831 i$ti $uccurrit Mechanicem
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1832 vocamus. Quemadmod&utilde;
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1833 enim Antipho po&euml;ta di-
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1834 xit, ita $e res habet.</P>
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1835 <P><I>Natura vincit: hanc arte
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1836 vincimus.</I></P>
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1837 <P>vt in his, qu&aelig;, cum mino-
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1838 ra $int, $uperant maiora: &amp;
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1839 paruum momentum, cum
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1840 habeant, ingentia dimo-
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1841 uent pondera, c&aelig;teri$-
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1842 que fere, qu&aelig; problemata
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1843 Mechanica nuncupamus.</P>
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1844 <head>COMMENTARIVS.</head>
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1845 <P>Illius artis.] <I>Ars gencralis, cuius hic mentionem facit Ari-
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1846 $toteles, nu$quam ab eo e$t definita, aut nominata. Leonicus, qui
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1847 in hunc librum commentarium edidit putat e$$e Architecturam.</I>
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1848 <foot><I>Qu&ograve;d</I></foot>
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1849 <pb>
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1850 <I>Quod facit ex $ententia Vitruu&yuml;, qui eius tres partes con$tituit, &aelig;di-
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1851 ficationem in explicatione publicorum &amp; priuatorum operum:
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1852 Gnomonicam in de$criptione Horologiorum: &amp; Machinationent
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1853 in cognitione principiorum &amp; di$po$itione machinarum &amp; orga-
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1854 norum. H&aelig;c quidem comprehendi Architectur&aelig; nomine Galenus</I>
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1855 <marg>Cap. 3. lib.
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1856 de cuiu$que
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1857 animi pecc.
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1858 cogno$c.</marg>
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1859 <I>etiam te$tatus e$t, nomine inquit, artis Architectorum intelligi volo
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1860 Horologiorum, Clep$ydrarum, Hydrocopiarum, Machinamento-
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1861 rumque omnium de$criptiones, quibus etiam, qu&aelig; $pirabilia vocant,
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1862 continentur. Sed cum in his qu&aelig; Architectur&aelig; $ubiecta $unt $olis
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1863 natur&aelig; renixus non vincatur: ver&utilde; etiam in quibuslibet aliis cuiu$-
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1864 cunque artis $ubiectis, $i qua $it ars, qu&aelig; in vniuer$um id doceat,
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1865 multo generalior e$t Architectura. Et quid obe$t dicere hanc e$$e
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1866 Philo$ophiam? cum Philo$ophia $it cognitio omnium artium &amp; re-
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1867 rum tam diuinarum: quam humanarum cau$as, proprietates, effecta
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1868 con$ideret. Atque hac diui$a in $uas partes, &amp; partium particulas
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1869 vna ex his erit Mechanice. Qu&aelig; ad explicationem motuum violen-
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1870 torum, &amp; admirabilium $e habebit, vt Phy$ica ad explicationem
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1871 motuum naturalium: &amp; vt $ub hac Medicina, Agricultura, &amp;
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1872 ali&aelig;: $ic$ub illa ars fabrilis, Architectura, Sutoria, &amp; omnes qu&aelig;
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1873 in$trumentis artificio$is, indu$trii$que opus $uum peragunt. quorum
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1874 omnium rationes &amp; virium gradus in hac Mechanica tanquam
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1875 generali explicantur, vt po$tea cuique facile apparebit.</I></P>
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1876 <P>Mechanice.] <I>In Gr&aelig;co Vecheli legitur h&icirc;c</I> <G>mhxanh\n</G>: <I>vt etiam
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1877 in titulo huius capitis: $ed vtrobique legendum</I> <G>mhxanikh\n.</G> <I>quia ha-
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1878 ctenus in hoc pro&euml;mio non machina vna: $ed ars machinarum lau-
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1879 data e$t. Nec tamen definita, vt titulus pollicebatur. Definitur au-
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1880 tem $ic &agrave; Picolomino. Mechanice e$t $cientia ex qua cau$&aelig; &amp; prin-</I>
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1881 <marg>In parapha-
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1882 $i huius li-
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1883 bri.</marg>
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1884 <I>cipia ad quamplurimas artes $ellularias exhauriri po$$unt. Nos peni-
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diff changeset
1885 tius ip$ius rei, qu&aelig; definitur naturam, &amp; ad ea qu&aelig; cum dicta $unt
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1886 ab Aristotele, qu&aelig;que dicentur intuentes perfecti&ugrave;s opinor, $ic de-
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parents:
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1887 finiemus. Mechanice e$t ars ad ea qu&aelig; vires humanas $uperant, tra-
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diff changeset
1888 hendum, impellendum, ferendum, machinarum fabricatrix. vel $ic
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diff changeset
1889 Mechanice e$t ars cogendi corpora quantum fieri pote$t vt contra
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diff changeset
1890 nutum ferantur. H&aelig;c enim tota po$ita e$t, vt ad v$um, delectatio-
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diff changeset
1891 n&eacute;mue hominum grauia $ur$um, leuia deor$um, tum vtraque in la-
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diff changeset
1892 tus, in orbem $eor $im, atque per mixtim &egrave; loco in locum moueantur.</I>
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1893 <foot>B</foot>
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1894 <p n=>10</p>
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1895 <I>H&aelig;c enim vt fiant, ip$a ars machinas inuenit, &amp; inuentarum, cur
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diff changeset
1896 h&aelig;c pr&aelig;$tent cau$as reddit. C&aelig;ter&ugrave;m ex huius machinis, qu&aelig;dam
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1897 mouentur per $e:qu&aelig;dam non $ponte. Ill&aelig; intra $e principia $u&aelig; mo-
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diff changeset
1898 tionis habent, &amp;</I> <G>a)uto/ma<+>a</G> <I>vocantur: quorum alia Gr&aelig;cis</I> <G>sa<+>a\,</G>
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diff changeset
1899 <I>Latinis Stataria, fixa, firma dicuntur: alia</I> <G>u(pa/<+>n<+>a</G> <I>ambulantia.
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diff changeset
1900 De vtri$que Hero pertractauit, inter qu&aelig; pulchrum e$t illud, quod
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diff changeset
1901 docuit con$truere, $cilicet &aelig;dem rotundam, in qua Bacchus pateram
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parents:
diff changeset
1902 alrera manu tenet, altera thyr$um, prop&egrave; ver&ograve; ade$t panthera, &amp;
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parents:
diff changeset
1903 ara: circum autem Bacchides tympana tenentes, $upr&agrave; tholum alata
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parents:
diff changeset
1904 &amp; coronata Victoria collocatur, atque vno &amp; eod&etilde; tempore in ara
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parents:
diff changeset
1905 ignis $uccenditur, Bacchus lac &egrave; patera, vinum &egrave; thyr$o ver$at in
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parents:
diff changeset
1906 pantheram, Bacchides circum$alientes tympana pul$ant, Victoria
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parents:
diff changeset
1907 $e circumagens, &amp; alas qaatiens tuba $onat. In alia ver&ograve; di$po$i-
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parents:
diff changeset
1908 tione fecit inambulantia, $igilla euntia, &amp; redeuntia, motione$-
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diff changeset
1909 que varias reddentia, vt v$us &amp; voluptas po$tulat pro instituto.
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parents:
diff changeset
1910 H&aelig; ver&ograve; motionis principium intra $e non habent: Sed ex his
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parents:
diff changeset
1911 ali&aelig; mouentur &agrave; rebus inanimis, ali&aelig; ab animatis. Res inani-
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parents:
diff changeset
1912 m&aelig; principium motionis exhibentes $unt a&euml;r, $piritus, aqua, ignis,
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parents:
diff changeset
1913 $umus. Aer &amp; $piritus e$t vel inclu$us, ex qu&ograve; pneumatica ratio ab-
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1914 $oluitur, de qua etiam Hero in$trumenta Mu$ica, qu&aelig; per</I> <G>an)tono ma-
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diff changeset
1915 si/an</G> <I>organa vocant: vel liber, vnde &aelig;dificia ad molendum. A qua,
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1916 vnde fiunt rot&aelig; etiam ad molend&utilde;, t&utilde; tympana, tum $err&aelig; ad trabes
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parents:
diff changeset
1917 $ecandas, folles ad ferr&utilde; tundendum &amp; alia plera&qacute;;. Ignis $eu fumus
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parents:
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1918 quo verrucula conuoluuntur: animat&aelig; $unt, bruta qu&aelig; trahunt cur-
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parents:
diff changeset
1919 rus, ci$ia, quadrigas: homines qui ver$ant, trahunt, erigunt, impel-
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parents:
diff changeset
1920 lunt ad varios belli paci$q; v$us vtentes vectibus, rad&yuml;s, trochleis,
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diff changeset
1921 cochleis, trutinis, lancibus, ergatis, rotis, tympanis, &amp; ad a$cenden-
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diff changeset
1922 dum in altum multiplicibus $calarum formis, tum munitis, tum $ine
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diff changeset
1923 munitione, &amp; ad di$rumpendum, excutiendum, pro$ternendum,
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parents:
diff changeset
1924 quatiendum frangendum, iaculandum, arietibus, te$tudinibus, tur-
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parents:
diff changeset
1925 ribus ambulator&yuml;s, catapultis, bali$tis, tormentis reliquis. in quibus
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diff changeset
1926 $aciendis h&aelig;c lex po$ita e$t, vt omnia fiant ex paratu facilibus quo
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1927 ad materiam: var&yuml;s quoad figuras: exiguis quoad men$uras: leuibus
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parents:
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1928 quoad pondera. Quipp&egrave; qu&aelig; &agrave; quibu$cumque artificibus cit&ograve; fieri
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parents:
diff changeset
1929 queant, erectu interim, tr&atilde;slat&uacute;que facilia: in $idiatu, fractuque dif-
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parents:
diff changeset
1930 $icilia: $tabilia, ac tandem eiu$modi $int, vt quatenus nece&szlig;itas</I>
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1931 <p n=>11</p>
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1932 <I>po$tulauerit, facile componi, facil&eacute;que di$$olui po&szlig;int. Sed neque hic
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parents:
diff changeset
1933 pr&aelig;termittenda diui$io Methanices, qu&aelig; aliter &agrave; Politiano ex He-</I>
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parents:
diff changeset
1934 <marg>In Pancpi-
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parents:
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1935 $temone.</marg>
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parents:
diff changeset
1936 <I>rone inducta e$t. Mechanices, inquit, altera pars rationalis e$t, qu&aelig;
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parents:
diff changeset
1937 numerorum, men$urarum, $yderum, natur&aelig; que rationibus perfici-
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parents:
diff changeset
1938 tur: altera</I> <G>xeipourgikh\,</G> <I>cui vel maxim&egrave; artes ill&aelig;, &aelig;raria, &aelig;difica-
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parents:
diff changeset
1939 toria, materiaria, picturaque, adminiculantur. Huius autem partes,
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parents:
diff changeset
1940 Manganaria per quam pondera immania minima vi tolluntur in
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parents:
diff changeset
1941 altum:</I> <G>mhxanopoihpkh\,</G> <I>qu&aelig; facile aquas antl&yuml;s extrahit:</I> <G>*or-
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parents:
diff changeset
1942 ganopoihtikh\,</G> <I>qu&aelig; bellis accommoda in$trumenta fabricatur, arie-
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parents:
diff changeset
1943 tes, te$tudines, turres ambulatorias, helepoleis, $ambucas, exo$tras,
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parents:
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1944 tollenones &amp; qu&aelig;cunque Gr&aelig;co vocabulo</I> <G>w_oliorkh<+>ika\</G> <I>vocan-
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1945 tur, tormentorumque varia genera, qu&aelig; libris Athen&aelig;i, Bitonis,
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parents:
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1946 Heronis, Pappi, Philonis, Apollodorique continentur, vt Latinos
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parents:
diff changeset
1947 omi$erim. Mox &amp; qu&aelig;</I> <G><+>auma<+>ourgikh\</G> <I>cuius exempla $unt</I> <G>u)drau-
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parents:
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1948 lika\</G> <I>organa, qu&aelig;que per $e ventorum $latu re$onant. Et quod vas
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parents:
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1949 dic&aelig;ometron vocabant, &amp; quod voces variarum auium exprimit,
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parents:
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1950 &amp; quod indidem merum, mox dilutum vinum, mox aquam cali-
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1951 dam, mox frigid&atilde;, copio$am tenu&eacute;mq; vici&szlig;im funditat. Et</I> <G>si/fwnes</G>
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1952 <I>extinguendis ineend&yuml;s apti, &amp; medicinabiles cacurbitul&aelig; $ine
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1953 ignis ministerio cutem prehendentes, &amp; pil&aelig; $ponte $altantes, &amp;
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1954 lucerna $uas ip$a producens $tuppas: &amp; animal quod &agrave; $tructore dum
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1955 $ecatur in men$a, bibit interim, crepit&ugrave;que $uo quodam, &amp; voce $i-
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1956 tientis repr&aelig;$entat imaginem: milleque alia id genus, qu&aelig; breuita-
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1957 tis $tudio pr&aelig;terimus. H&aelig;c igitur (vt in capita qu&aelig;dam conferatur)
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1958 aut ponderibus vtitur &amp; $piritu, quorum pr&aelig;ponderatio mouet,
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1959 &aelig;quilibrium $i$tit, ($icuti etiam Tim&aelig;us definit): aut neruis &amp;
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1960 funiculis animatos qua$i tractus, ac motus imitatur, ac circa illa
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1961 qu&aelig; $ubnatant aquis, aut circa aquarum vertitur horologia, quo-
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1962 rum quidem generum primum docet in pneumaticis Heron, alte-
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1963 rum idem in automatis &amp; Zyg&yuml;s, quartum rur$us in Hydr&yuml;s, ter-
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1964 tium ver&ograve; in Ochoumenis Archimedes. E$t in eadem Mechanic&aelig;
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1965 $erie qu&aelig; Centrobarica pars dicitur, ex qua reliqu&aelig; pendere dicun-
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1966 tur &amp; Sph&aelig;rotop&oelig;ia, qualis illa Archimedea Claudiani laudata
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1967 ver$ibus. Suppeditat eadem Architectur&aelig; quoque $can$orias, tra-
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1968 ctiles, &amp; $pirituales machinas.</I></P>
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1969 <P>Natura vincit.] <I>Senariolus e$t cuiu$dam antiqui po&euml;t&aelig; nomine</I>
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1970 <foot>B ij</foot>
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1971 <p n=>12</p>
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1972 <I>tenus in hominum memoria $uper$titis: ni$i $it is, de quo Ari$toteles
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1973 in $uis Rhetoricis meminit, lepidumque eius dictum ad $ocios, qui-
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1974 bu$cum vna ducebatur in $upplicium iu$$u Diony $ij tyranni, reci-
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1975 tat. hos enim videns capite coopertos. Quid occultamini, inquit,
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1976 Soc&yuml;, cum nullius i$torum qui frequentes ad vrbis portam $pectandi
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1977 gratia confluunt, cras vos $it con$pecturus? E$t alius etiam Antipho
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1978 de quo meminit Cicero, vt $omniorum interprete &amp; $criptore for-
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1979 ta$$e is e$t quem fui$$e Athenien$em mon$tro$orum $omniorum in-
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diff changeset
1980 terpretem, &amp; po&euml;tam refert Suidas. A quo etiam forta$$e proma-
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1981 nauit Senariolus, qui hic citatur ab Ari$totele, ad probandum
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1982 homines arte vincere ea, &agrave; quibus natura vincuntur. quod cumfa-
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1983 ciunt in &yuml;s, in quibus iudicio omnium longe &agrave; natura $uperantur</I>
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1984 <G>w_<+>adozo/poioi,</G> <I>cum Galeno vocari poterunt.</I></P>
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1985 <P>Vt in his, qu&aelig; cum] <I>Vt cum magnas marmorum moles, tra-
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1986 bes, columnas, colo$$os transferimus, &amp; erigimus, naues $ubduci-
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1987 mus in mare, quod fecit Archimedes conspiciente Hierone rege
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1988 Syracu$arum, Helepoles amplas $upra muros attrahimus, quod
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1989 fecit Callias Rhodien$ibus conspicientibus, Equum Troianum in
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1990 vrbem adducimus (erat enim aliud nihil qu&atilde; machina, vt ait po&euml;ta,</I></P>
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1991 <P>In$pectura domos ventur&aacute;que de$uper vrbi.</P>
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1992 <P><I>quales mult&aelig; apud Vegetium &amp; Heronem mechanicum.) bom-
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1993 bardas ingentes ad locum destinatum conuertimus.</I></P>
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1994 <P><+></P>
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1995 <P>Sunt vero h&aelig;c proble-
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diff changeset
1996 matis Phy$icis, nec omni-
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1997 no ead&etilde;, nec vald&egrave; di$$imi-
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1998 lia: $ed con$entanea theo-
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1999 tematis, tum mathemati-
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2000 cis, tum Phy$icis. Etenim
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2001 quod ip$um quomodo ad
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2002 mathematica pertineat:
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2003 ip$um vero circa quod, ad
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2004 Phy$ica, manife$tum e$t.</P>
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2005 <head>COMMENTARIVS.</head>
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2006 <P><I>Apud Euclidem problema &agrave; theoremate di$tinguitur, quod
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2007 hoc iubeat aliquid contemplari: illud fieri: pa&szlig;im tamen ab</I>
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diff changeset
2008 <p n=>13</p>
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2009 <I>Ari$totele, &amp; al&yuml;s pro vtroque, vt hic, indifferenter legitur. Qualia
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diff changeset
2010 autem problemata in Mechanicis habeat tractanda explicat Ari-
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2011 $toteles, dicitque ea e$$e, qu&aelig; $int con$entanea Phy$icis &amp; Mathe-
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2012 maticis, vt qu&aelig; habeant $ubiectum petitum &egrave; Phy$icis. Machina-
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2013 rum enim materia lignum e$t vel ferrum &amp; eiu$modi corpora Phy-
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2014 $ica: attributum ver&ograve; &egrave; figuris &amp; terminis Mathematicis cuiu$mo-
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2015 di $unt in Geometria line&aelig;, diametri, centra, circuli, &amp; eiu$modi,
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2016 &egrave; quibus machin&aelig; con$tare &amp; figurat&aelig; e$$e, &amp; vires $uas accipere,
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2017 augere, diminuere, metiri o$tenduntur. Vnde Mechanice pars e$t
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2018 mathematicarum non aliter: quam Mu$ica, Optica, A$tronomia,
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diff changeset
2019 quas Ari$toteles dixit e$$e</I> <G>fusiko<+>e/<+>s,</G> <I>ob $ubiecti $cilicet, quod
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2020 tractant naturam Phy$icas: $ed ob</I> <G>gra/mmikas</G> <I>id e$t lineares &amp;
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2021 numerales demon$trationes, quibus ip$um explicant, Mathemati-
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2022 cas. C&aelig;terum exeo quod dicit Ari$toteles problemata Mechanica
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diff changeset
2023 e$$e Phy$icis &amp; Mathematicis con$entanea, $ub indicare videtur,
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2024 ne Mechanicus ante existimet machinas, quarum habuerit demon-
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2025 $trationem in v$um venire po$$e, $uamque efficaciam $ortiri: ni$i
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diff changeset
2026 materia Phy$ica existat, qu&aelig; rem patiatur fieri. Quamuis enim
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2027 Geometer demon$tratione concludat, datam rectam lineam infinit&egrave;
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2028 diui$ibilem e$$e, nulla materia lineata apud phy$icos e$t, qu&aelig; non
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2029 continuata diui$ione tandem reducatur ad eam, qu&aelig; $i amplius in-
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2030 telligatur diuidi, amittet formam line&aelig; Phy$ic&aelig; &amp; vi$ibilis: $ic
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2031 licet apud Mechanicos multa demon$trentur de motu in infinitum
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2032 augendo, quale e$t illud problema Archimedeum. Datum pondus
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2033 data potentia mouere. Ita tamen intelligenda $unt, ne exi$timemus
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2034 infinita hominis, quac&utilde;que arte iuuetur, pote$tati $ube$$e. Sunt enim
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2035 certi fines, vltra quos natura rerum ip$um progredi non patitur.
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2036 Sunt pr&aelig;terea vitia materi&aelig; qu&aelig; Geometra, aut Mechanicus de-
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diff changeset
2037 mon$trans non con$iderat: nec etiam ob$tant quo minus qu&aelig; propo-
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diff changeset
2038 $ita $unt, vera $int in intellectu: Mechanicus igitur operans, priu$-
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diff changeset
2039 quam operi $e accingat, nefru$tretur, con$iderare debet, an quod
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diff changeset
2040 proponitur effici po&szlig;it, habitaratione materi&aelig; ex qua, aut per qu&atilde;,
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diff changeset
2041 &amp; circun$tantiarum pr&aelig;$ertim temporis quod pr&aelig;$cribitur, &amp; $um-
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diff changeset
2042 ptuum quos facere oporteret. H&aelig;c enim $i abunde $uppetant, nec ma-
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diff changeset
2043 teria omnino repugnet, nihil non fieri poterit.</I></P>
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diff changeset
2044 <foot>B iij</foot>
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2045 <p n=>14</p>
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diff changeset
2046 <P><+></P>
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diff changeset
2047 <P>Dubitantur aut&etilde; in hoc
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diff changeset
2048 genere ea, qu&aelig; de vecte di-
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diff changeset
2049 cuntur. Ab$urdum enim
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diff changeset
2050 videtur ab exigua vi ma-
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diff changeset
2051 gnum pondus moueri, &amp;
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diff changeset
2052 quidem ad pondus addito
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diff changeset
2053 pondere. quod enim $ine
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diff changeset
2054 vecte qui$piam non po$$et
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diff changeset
2055 mouere, hoc ip$um pon-
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diff changeset
2056 dus, in$uper adijci&etilde;s vectis
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diff changeset
2057 ip$ius p&otilde;dus, facile mouet.</P>
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diff changeset
2058 <head>COMMENTARIVS.</head>
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diff changeset
2059 <P>Qv&aelig; de vecte.] <I>Vectis e$t machina $eu in$trumentum in$tar
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diff changeset
2060 pali aut baculi recti longioris, cuius alterum extremum in cu-
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diff changeset
2061 spidem acut&atilde; &amp; paul&ograve; latiorem de$init, vocaturq; lingua: alterum
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diff changeset
2062 extrem&utilde; caput e$t, aut manubrium. vecti in v$u aliquando $upponi-
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diff changeset
2063 tur fulcimentum, quod Gr&aelig;ci</I> <G><+>(w_omo/xlion,</G> <I>Vitruuius porrectam
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diff changeset
2064 pre&szlig;ionem appellat.</I></P>
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diff changeset
2065 <P>Ab$urdum enim videtur.] <I>Ostenditur hic cur problema
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diff changeset
2066 de vecte in Mechanicis, dubitabile, $iue dignum qu&aelig;$itu $it. Du-
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diff changeset
2067 bitabilia enim $unt, qu&aelig; reuera fiunt: vt magnum pondus addito
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diff changeset
2068 pondere vectis ab exigua potentia, &amp; vna hominis manu moue-
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diff changeset
2069 ri. Fieri tamen ratio repugnat. Nam in omni motu mouens pr&aelig;ua-
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diff changeset
2070 lere debet mobili: h&icirc;c exigua potentia e$t mouens: magnum pondus
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diff changeset
2071 e$t mobile: illa quatenus exigua e$t, &amp; ante per $e impotens, atque
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diff changeset
2072 infirma, e$t in&aelig;quale minus: hoc quatenus magnum, e$t in&aelig;quale
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diff changeset
2073 maius, &amp; ei addito vectis onere maius adhuc effici videtur: non
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diff changeset
2074 igitur exigua potentia magno oneri &amp; adaucto in motu pr&aelig;ualer-
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diff changeset
2075 debet. Si non pr&aelig;ualet, non mouet: mouet tamen: Relinquitur
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diff changeset
2076 ergo vt exi$timemus aliquam cau$am in hoc problemate motus eius
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diff changeset
2077 apparentis latentem $ube$$e, dignam Philo$ophi indagatione.</I></P>
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diff changeset
2078 <p n=>15</p>
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diff changeset
2079 <P><+></P>
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diff changeset
2080 <P>Omni&utilde; ver&ograve; talium cir-
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diff changeset
2081 culus continet cau$&aelig; prin-
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diff changeset
2082 cipium. quod etiam ratio-
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2083 ni valde c&otilde;$entaneum e$t.
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diff changeset
2084 Nec enim ab$urdum e$t,
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diff changeset
2085 ex admirabiliori quid ad-
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2086 mirabile contingere.</P>
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2087 <head>COMMENTARIVS.</head>
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diff changeset
2088 <P>Omnium ver&ograve; talium.] <I>Cau$a qu&aelig; latebat in problemate
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diff changeset
2089 de vecte a&szlig;ignatur hic e$$e circulus: qu&aelig; ad alia multa Me-
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diff changeset
2090 chanica po$tea transferetur. Probatur autem id ex forma circuli mi-
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diff changeset
2091 rabili&szlig;ima. $ic.</I></P>
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diff changeset
2092 <P><I>Ex admirabiliori admirabile aliquid fieri non e$t alienum, cau$&aelig;
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diff changeset
2093 enim $ibi $imiles effectus edunt.</I></P>
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parents:
diff changeset
2094 <P><I>Circulus e$t admirabilis, &amp; admirabilior, quam vectis: quamque
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diff changeset
2095 ea qu&aelig; &agrave; vecte fiunt.</I></P>
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diff changeset
2096 <P><I>Ergo &agrave; circulo prodire id quod e$t admirabile in vecte, mechani-
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diff changeset
2097 ci$que problematis non e$t alienum.</I></P>
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parents:
diff changeset
2098 <P><+></P>
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diff changeset
2099 <P>Maxim&egrave; ver&ograve; mirabile
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parents:
diff changeset
2100 e$t contraria fibi inuicem
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parents:
diff changeset
2101 $imul fieri: Atqui circulus
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parents:
diff changeset
2102 ex iis con$titutus e$t. Sta-
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diff changeset
2103 tim enim factus e$t ex mo-
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diff changeset
2104 to, &amp; immobili, quorum
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diff changeset
2105 natura $ibi inuicem con-
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diff changeset
2106 traria e$t. Ill&ugrave;c itaq; in$pi-
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parents:
diff changeset
2107 cientibus c&otilde;traria ab ip$o
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diff changeset
2108 prouenire minus erit mir&utilde;.</P>
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diff changeset
2109 <head>COMMENTARIVS.</head>
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2110 <P>Maxime ver&ograve;.] <I>Circuli admiranda natura declaratur &egrave;
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parents:
diff changeset
2111 quintuplici contrariorum, qu&aelig; in eo pr&aelig;ter contrariorum</I>
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diff changeset
2112 <p n=>16</p>
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parents:
diff changeset
2113 <I>legem $imul reperiuntur, repugnantia. Ex his triplex deprehenditur
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diff changeset
2114 in circulo dum fit: duplex vero dum factus e$t. Primum enim dum fit
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diff changeset
2115 habet hoc admirabile, quod fiat ab vna recta, cuius vnum extremo-
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diff changeset
2116 rum quie$cit &amp; fixum e$t: alterum vn&agrave; cum tota linea mouetur: $e-
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parents:
diff changeset
2117 cundum quod in mota linea puncta, cum infinita $int, &amp; omnia $i-
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parents:
diff changeset
2118 mul moueantur, in&aelig;qualiter tamen moueantur: Tertium quod extre-
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parents:
diff changeset
2119 mum motum eodem tempore duobus motibus contrar&yuml;s, vno natu-
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diff changeset
2120 rali ad peripheriam $cilicet, altero violento ad centrum moueatur. In
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parents:
diff changeset
2121 facto ver&ograve; hoc admirabile e$t, quod eius terminus vna linea exi-
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parents:
diff changeset
2122 $tens, ob&iacute;dque latitudinis expers, concauum tamen &amp; conuexum,
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parents:
diff changeset
2123 qu&aelig; quodammodo contraria $unt, admittat: pr&aelig;terea mobilitas,
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parents:
diff changeset
2124 qu&aelig; ine$t, admirabilis e$t, quia eodem tempore ad contrarias loci dif-
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parents:
diff changeset
2125 ferentias, vt $ur$um deor$um: dextror$um $inistror$um, fiat. H&aelig;c
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casties
parents:
diff changeset
2126 $ingula $uis locis delineabuntur &amp; explicabuntur. Sed pr&aelig;ter h&aelig;c,
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parents:
diff changeset
2127 qu&aelig; ab Ari$totele de circulo dicuntur, valde notabilia $unt &amp; alia,
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2128 qu&aelig; in Geometria in eo ine$$e, partim ponuntur, partim demon$trata
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diff changeset
2129 $unt. Primum quod vna linea terminetur, e&acirc;que $implici, $imilari
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diff changeset
2130 vniformi, &amp; carente principio, &amp; fine, neque tamen infinita, vt
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diff changeset
2131 cuius, cum partes aliquot $umpt&aelig; $unt, qu&aelig; re$tant, minus $int, quam
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2132 ante quam $umpt&aelig; e$$ent, quod repugnat infinito in magnitudine: $ed
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2133 tota e$t, &amp; perfecta: vnde circulus figura e$t planarum $implici&szlig;i-
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2134 ma, regulari&szlig;ima, perfecti&szlig;ima: Deinde quod ea linea non $it an-
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2135 gulus, ad angulum tamen proxime accedat, vt o$tendimus in no$tro
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2136 libello de angulo contactus, &amp; ob id quod&abreve;modo vndequaque angu-
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2137 lata, cum nu$quam $it, dici po&szlig;it, &amp; figura</I> <G>w_an/gwnos &amp; o(lo/gwnos,</G>
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2138 <I>tum prima figurarum &amp; vltima: po$tea, quod ex infinitis punctis
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2139 qu&aelig; in $patio ab ea comprehen$o $unt, vnum e$t tantum, &agrave; quo omnes
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2140 rect&aelig; ad peripheriam duct&aelig;, $unt &aelig;quales: quod Diametro bifariam
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diff changeset
2141 $ecetur: quod hinc $emicirculus circa Diametrum manentem
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2142 voluens, quou$que redierit ad eum locum vnde moueri c&oelig;pit, $ph&aelig;-
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diff changeset
2143 ram constituat, corporum $implici&szlig;imum, capaci&szlig;imum, mobili&szlig;i-
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diff changeset
2144 mum, mouenti&szlig;imum: quod circulus omnium figurarum eiu$dem
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2145 perimetri $it capaci&szlig;ima: quod vno puncto lineam rectam attin-
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2146 gat, $icque o$$en$ationibus &amp; occur$ationibus minimum pateat,
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2147 $icque in$i$tens dimidia $ui totius parte nutet, vnde propen$i&szlig;imus
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2148 e$t ad motum, &amp; dimotus cum moueat annexa, apti&szlig;imus quoque</I>
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2149 <foot><I>erit</I></foot>
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2150 <p n=>17</p>
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2151 <I>erit ad mouendum: po$trem&ograve; quod inter rectam circulum tangen-
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diff changeset
2152 tem, &amp; circuli peripheriam altera recta $ine $ectione cadere non
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diff changeset
2153 po&szlig;it. quod 16. prop. lib. 3. elem. e$t demon$tratum.</I></P>
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diff changeset
2154 <P>Imprimis enim] <I>Prima repugnantia e$t in circulo, quod fiat
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diff changeset
2155 &egrave; moto &amp; quieto, qu&aelig; $unt oppo$ita ex genere priuantium, vnde rur-
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diff changeset
2156 $us concluditur, minus e$$e mirum, id e$t minus ab$urdum &agrave; circulo
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diff changeset
2157 produci contraria. Circulum autem fieri ex moto &amp; quieto patet his,
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diff changeset
2158 qui eius fabricam repetent &egrave; 3. po$tulato element. Eucl. Ibi enim po-
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diff changeset
2159 $tulatur, vt &egrave; dato centro &amp; interuallo circulum de$cribere conce-
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
2160 datur. De$cribitur autem cum data recta finita, manente eius vno
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diff changeset
2161 extremorum, circummoluitur, quou$que redeat ad locum vnde mo-
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diff changeset
2162 ueri c&oelig;pit, id quod, vt $ine errore fiat inuentus e$t circinus &agrave; Talo
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diff changeset
2163 D&aelig;dali ex $orore nepote, cuius forma &amp; officium ab Ouidio accom-
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2164 modate huic loco, $ic e$t expre$$um,</I></P>
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2165 <P>Ex vno duo ferrea brachia nodo
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2166 Iunxit, vt &aelig;quali $patio di$tanti-
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2167 <fig>
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diff changeset
2168 busip$is</P>
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2169 <P>Altera pars $taret, pars altera du-
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2170 ceret orbem.</P>
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2171 <P><I>Sit igitur recta A B inter extrema due-
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2172 rum brachiorum circini A C B diua-
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2173 ricati per interuallum line&aelig; A B,
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2174 cuius extremum A maneat: alterum B
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2175 line&aelig; motu feratur per D quou$que redeat
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2176 ad B: $icque circulus B D B erit fa-
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2177 ctus. Idque beneficio puncti B cum tota
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2178 linea A B moti, atque puncti A quieti, vt hic vult Ari$toteles.</I></P>
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2179 <P><+></P>
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2180 <P>Primum $iquidem line&aelig;
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2181 ip$um circulum compre-
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2182 hend&etilde;ti, licet latitudinem
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2183 nullam habeat, contraria
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diff changeset
2184 quodammodo, cauum &amp;
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2185 conuexum ine$le appar&etilde;t.
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2186 H&aelig;c autem ita inter$e di-
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2187 $tant, vt magn&utilde; &amp; paruum.
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2188 <foot>C</foot>
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2189 <p n=>18</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2190 <+>
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diff changeset
2191 horum enim medium e$t
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2192 &aelig;quale: illorum ver&ograve; re-
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diff changeset
2193 ctum. Ide&ograve; inuicem cum
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2194 commutantur, pri&ugrave;s ne-
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diff changeset
2195 ce$$e e$t &aelig;qualia fieri: li-
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2196 neam $an&egrave; rectam, cum ex
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2197 conuexa fit caua: &amp; rur$us
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2198 ex ip$a fit conuexa &amp; ro-
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2199 tunda. Atque vnum hoc
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2200 e$t ex ab$urdis qu&ecedil; in$unt
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2201 circulo.</P>
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2202 <head>COMMENTARIVS.</head>
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2203 <P>Primum $iquidem.] <I>Vetu$tatis iniuria multas veterum li-
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2204 bris, &amp; huic $ane irrep$i$$e mendas, non e$t res dubia, vt hoc loco</I>
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2205 <G>w_rw/ton</G> <I>pro</I> <G>deu/teron.</G> <I>Namque h&icirc;cnon prima, vtiam patuit: $ed $e-
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2206 cunda e$t in circulo repugnantia. Eaque ex eo quod cum circuli peri-
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2207 pheria $ir vna linea def. 15. lib. 1. elem. &amp; idcirco latitudinis expers
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2208 def. 2. lib. eiu$dem: habeat tamen in $econtraria conuexum $cilicet,
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2209 &amp; concauum: illud quidem qu&agrave; $pectat foras: hoc vero qu&agrave; intra.
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2210 vbinota Ari$totelem dixi$$e h&aelig;e</I> <G>en)an<+>ia w_<+>s</G> <I>contraria quodam-
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2211 modo. Nec enim vere contraria $unt, quia vere contraria $untea,
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2212 qu&aelig; $ecundum $eip$a $umpta, ex $eip$is extreme di$tant, &amp; vnde $e
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2213 expellere nata $int, habent: at h&aelig;c conuexum &amp; concauum non $ic
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2214 extreme di$tant: $ed ratione $itus partium in diuer$is locorum diffe-
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2215 rent&yuml;s, quod $cilicet ali&aelig; al&yuml;s $int al-</I>
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2216 <fig>
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diff changeset
2217 <I>tiores, vel depre&szlig;iores. Cum enim re-
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diff changeset
2218 ctum $it id in lineis quod ex &aelig;quo iacet
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diff changeset
2219 inter $ua extrema def. 2. lib. 1. &amp; vt
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diff changeset
2220 linea A B, curuum erit quod non ex
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diff changeset
2221 &aelig;quo iacebit, $ed altius aut depre&szlig;ius:
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diff changeset
2222 idque $i inter extrema vbique attollatur:
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diff changeset
2223 conuexum vt C E D: $i vero vbique
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diff changeset
2224 deprimatur concauum, vt C F D qu&aelig; eadem e$t linea ex $e, $ed
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diff changeset
2225 ex locis E E &amp; F F partium mutata, Cum igitur ab eadem C D</I>
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diff changeset
2226 <p n=>19</p>
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diff changeset
2227 <I>non $e expellant non erunt ver&egrave; contraria: qualia tamen apparent ex
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diff changeset
2228 di$tantia &amp; differentiis locorum $ur$um deor$um.</I></P>
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diff changeset
2229 <P>H&aelig;c autem ita.] <I>Similitudine comprobatur conuexum &amp;
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diff changeset
2230 concauum contraria e$$e. Quemadmodum magnum &amp; paruum con-
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diff changeset
2231 traria $unt, quia di$tant, inter $e per medium, quod e$t &aelig;quale, &amp;
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diff changeset
2232 cum commutantur in inuicem nece$$e e$t prius &aelig;quale fieri: $ic con-
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diff changeset
2233 uexum &amp; concauum contraria erunt, quia di$tant inter $e per me-
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diff changeset
2234 dium, quod e$t rectum, &amp; cum commutantur in inuicem prius re-
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diff changeset
2235 ctum etiam fierinece$$um e$t. $unt igitur conuexum &amp; concauum
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diff changeset
2236 contraria. Sed &amp; hic a$$umemus per eandem definitionem contra-
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diff changeset
2237 riorum ante po$itam, &amp; ex $ententia Ari$totelis in categ. Quanti-
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diff changeset
2238 tatis, magnum &amp; paruum apparenter duntaxat e$$e contraria. Ap-
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diff changeset
2239 parenter dico vt illa priora, quia habent aliquid de definitione con-
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diff changeset
2240 trariorum, quod $ibi conueniat, $cilicet di$tare inter$e in eodem ge-
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parents:
diff changeset
2241 nere, &amp; habere medium: $ed non vere tamen e$$e. Quia non habent
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parents:
diff changeset
2242 omnes pr&aelig;dict&aelig; definitionis particulas $ibi conuenientes. H&aelig;c
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parents:
diff changeset
2243 enim cum $int in Relatis, vnum idemque non ex$e dicitur magnum
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parents:
diff changeset
2244 aut paruum: $ed re$pectu alicuius, vt canis re$pectu elephantis paruus
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parents:
diff changeset
2245 e$t, at idem re$pectu mu$c&aelig; magnus e$t. C&oelig;terum hic notandum e$t
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parents:
diff changeset
2246 re$pectum i$tum licet fieri po&szlig;it ad quodlibet obuium, cum tamen
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parents:
diff changeset
2247 h&aelig;c vocabula, magnum, paruum, $impliciter dicuntur, fieri ad $ym-
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parents:
diff changeset
2248 metrum $ui cuiu$que generis. Symmetrum appello, quod iu$tam ma-
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parents:
diff changeset
2249 gnitudinem in $uo genere adeptum e$t. Et hoc e$t quod hic dicitur
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parents:
diff changeset
2250 &aelig;quale, medium $cilicet inter magn&utilde; tanquam excedens, &amp; paruum
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parents:
diff changeset
2251 tanquam deficiens, neutrobique igitur iu$tum. Vt e$to, quod aiunt
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parents:
diff changeset
2252 multi, iu$ta hominis magnitudo $ex pedum. Qui igitur inter homi-
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diff changeset
2253 nes $eptempedalis e$t, magnus: qui quintumpedalis, paruus $implici-
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diff changeset
2254 ter dicetur. Hinc intellige, vt id obiter annotem, quod apud Ari$to-
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parents:
diff changeset
2255 telem memini me legi$$e, nullam paruam mulierem pulchram e$$e,
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parents:
diff changeset
2256 quia, quod prima pars e$t pulchritudinis non habet, $ymmetrum $ui
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diff changeset
2257 generis.</I></P>
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diff changeset
2258 <P>Atque vnum hoc e$t.] <G>to\ a)/topcn.</G> <I>Hic vt &amp; alibi $&aelig;pius
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diff changeset
2259 pro</I> <G><+>auma/ sion</G> <I>$umitur, id e$t igitur e$$e conuexum &amp; concauum
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diff changeset
2260 in linea vnum e$t ex admirabilibus circuli.</I></P>
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parents:
diff changeset
2261 <foot>C ij</foot>
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parents:
diff changeset
2262 <p n=>20</p>
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parents:
diff changeset
2263 <P><+></P>
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parents:
diff changeset
2264 <P>Secundum e$t, quod con-
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parents:
diff changeset
2265 trariis motionibus $imul
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diff changeset
2266 moueatur. Simul enim an-
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2267 tror$um &amp; retror$um mo-
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2268 uetur: atque linea circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2269 lum de$crib&etilde;s $ic $e haber,
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diff changeset
2270 vt ex quo loco extremum
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2271 illius incipiat, rur$us ad
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2272 eundem redeat. Id ip$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2273 enim quod in ip$a conti-
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diff changeset
2274 nenter mota e$t vltimum,
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2275 rur$us primum euadit. Ita-
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diff changeset
2276 que manife$tum, quod in-
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parents:
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2277 de mutat&utilde; e$t. Propterea,
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diff changeset
2278 vt e$t prius dictum, non e$t
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2279 ab$urdum ip$um admira-
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diff changeset
2280 bilium omnium e$$e prin-
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diff changeset
2281 cipium. Igitur &amp; qu&ecedil; circa
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diff changeset
2282 libram eueniunt ad circu-
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diff changeset
2283 lum referuntur, &amp; qu&ecedil; cir-
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parents:
diff changeset
2284 ca vectem ad libram, &amp;
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parents:
diff changeset
2285 forta$$is alia omnia, qu&aelig;
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2286 circa motiones mechani-
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parents:
diff changeset
2287 cas, ad vectem.</P>
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diff changeset
2288 <head>COMMENTARIVS.</head>
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diff changeset
2289 <P>Secundum.] <I>Pro</I> <G>d<+>/u<+>eron</G> <I>legamus $i placet</I> <G>trh/ton.</G> <I>Hic enim
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diff changeset
2290 tertia e$t repugnantia in circulo ex contrar&yuml;s motionibus, quas
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parents:
diff changeset
2291 $imul habet, ant&egrave; $cilicet cum pars eius vna mouetur: oppo$ita 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
2292 ip$omet tempore pon&egrave; mouetur. Hoc autem e$t contrarias motiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2293 $imul habere. Contrari&aelig; enim $unt motiones apud Ari$totelem in
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parents:
diff changeset
2294 categoria vbi &amp; li. 5. de Phy$ico auditu ex diametralibus locorum,
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diff changeset
2295 ad qu&aelig; fiunt, di$tant&yuml;s dextror$um, $ini$tror$um: $ur$um, deor$um:
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diff changeset
2296 &amp; antror$um, retror$um.</I></P>
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diff changeset
2297 <P>Atque linea circulum.] <I>Cur circulus ant&egrave; &amp; pon&egrave; mouea-</I>
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2298 <p n=>21</p>
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2299 <I>tur, ratio adducitur $umpta ab efficiente circuli cau$a. Sic $yllo-
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diff changeset
2300 gi$mus in$titui pote$t. Vt fit circulus ita mouetur.</I></P>
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parents:
diff changeset
2301 <P><I>Fit circulus &agrave; linea continenter mota circa fixum extremor<*>m
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diff changeset
2302 vnum, quou$que redeat ad eum locum vnde moueri c&oelig;pit, quod
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2303 fieri non pote$t ni$i per loca qu&aelig; $unt circa extremum fixum oppo$i-
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parents:
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2304 ta deducatur, &amp; quod e$t vltimum, rur$us fiat primum.</I></P>
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2305 <P><I>Ergo circulus mouetur per loca &egrave; diametro oppo$ita circa extre-
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2306 mum line&aelig; &agrave; qua fit fixum. Quia igitur in his $unt ant&egrave; &amp; pon&egrave;,
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diff changeset
2307 mouebitur ant&egrave; &amp; pon&egrave;: quia in$uper $unt $ur$um &amp; deor$um,
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diff changeset
2308 mouebitur etiam $imul $ur$um &amp; deor$um.</I></P>
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diff changeset
2309 <P><I>Centrum enim in plano circundatur quatuor loci different&yuml;s,
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diff changeset
2310 propter duas qu&aelig; in ip$o ad rectos $e $ecant dimen$iones, vt in circu-
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diff changeset
2311 lo B C D E, e$to linea fabricans ip$um A B, ibique e$to ante
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diff changeset
2312 B. igitur cum erit in D, erit pon&egrave;: &amp; cum in C, $ur$um: &amp;
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diff changeset
2313 in E, deor$um, &amp; perueniens ad A B, eidem loco re$tituetur,
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diff changeset
2314 &agrave; quo c&oelig;perat moueri, quod e$t vltimum</I>
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diff changeset
2315 <fig>
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diff changeset
2316 <I>fieri primum. Vnde cum circulu<*>oue-
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2317 tur, pote$t dici ire, &amp; reuerti $imul: $ic
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diff changeset
2318 cum $ph&aelig;ricum corpus mouetur, in fine
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diff changeset
2319 $emper, &amp; principio motus $ui, etiam tum
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diff changeset
2320 ire, tum reuerti veri$imiliter dicetur.</I></P>
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diff changeset
2321 <P><I>C&aelig;terum notandum quod motiones dict&aelig;
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2322 e$$e in circulo, in$unt quidem: $ed non $i-
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diff changeset
2323 mul $ecundum eandem partem. Nam cum B, mouetur $ur$um ver-
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diff changeset
2324 $us C, idem B, eodem tempore non fertur deor$um ver$us E, $ed
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diff changeset
2325 tunc quidem D, altera pars in circulo oppo$ita ip$i B, fertur ver-
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diff changeset
2326 $us E: vt autem ver&egrave; e$$ent motiones contrari&aelig; deberent fieri $e-
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diff changeset
2327 cundum ea$dem partes. E$t h&aelig;c igitur vt ali&aelig; in circulo non vera
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diff changeset
2328 $ed apparens repugnantia. ex cuius tamen natura magnorum effe-
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diff changeset
2329 ctuum po$tea cau$&aelig; repetuntur, cum diametri B D, vt inflexilis
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diff changeset
2330 circa A, centrum fixum mot&aelig;, $i B, deprimatur, nece$$e e$t a<*>e-
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diff changeset
2331 rum extremum D, attolli: &amp; contra.</I></P>
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diff changeset
2332 <P>Propterea vt e$t prius.] <I>Conclu$io generalis e$t, huc, vt exi-
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diff changeset
2333 $timo, &egrave; fine primi huius capitis, vbi melius collocaretur, tr&agrave;spo$ita,
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diff changeset
2334 quod amplius declarant ea, qu&aelig; $ub&yuml;ciuntur de vecte &amp; libra, ad
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diff changeset
2335 qu&aelig; cum referat omnia Mechanica, &amp; ip$a vectis &amp; libra referan-</I>
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diff changeset
2336 <foot>C iij</foot>
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diff changeset
2337 <p n=>22</p>
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diff changeset
2338 <I>tur ad circulum, $equenti etiam capite, quod erat proximum, libr&aelig;
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diff changeset
2339 motiones explicat.</I></P>
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2340 <P><+></P>
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diff changeset
2341 <P>Pr&aelig;terea etiam, quod,
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diff changeset
2342 cum vna $it ea linea, qu&aelig;
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2343 ex centro, nullum eorum,
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diff changeset
2344 qu&aelig; in ea $unt, p&utilde;ctorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2345 &aelig;qu&egrave; celeriter fertur: fed
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parents:
diff changeset
2346 hoc, quod longius e$t ab
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2347 extremo eius immobili,
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diff changeset
2348 $emper celerius: miranda
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diff changeset
2349 multa circa motiones cir-
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diff changeset
2350 culi contingunt, vt in $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2351 qu&etilde;tibus problematis fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2352 manifc$tum.</P>
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diff changeset
2353 <head>COMMENTARIVS.</head>
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diff changeset
2354 <P>Pr&aelig;terea ctiam.] <I>Quarta repugnantia e$t in circulo ex in&aelig;-
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diff changeset
2355 qualitate motuum in eiu$dem line&aelig; circulum de$cribentis diuer-
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diff changeset
2356 $is punctis. In&aelig;qualiter enim moueri dicuntur, &amp; qu&aelig; eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2357 pore diuer$a permeant $patia, &amp; qu&aelig;in &aelig;qualibus temporibus idem:
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
2358 atque hoc celerius, quod eodem tempore maius $patium permeat, 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
2359 breuiori tempore idem: Tardius contra. Punctorum autem, qu&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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diff changeset
2360 $unt in vna eademque linea circulum de$cribente, illud quod remo-
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parents:
diff changeset
2361 tius e$t &agrave; centro, maius $patium conficit: quam quod propinquius, li-
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
2362 cet vtraque eodem tempore $uum perficiant. Linea enim circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2363 de$cribens, quo tempore punctis centro propinquis red&yuml;t ad locum,
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diff changeset
2364 vnde &yuml;$dem moueri c&oelig;perat, eodem remotis redit. Spatium autem
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diff changeset
2365 illud e$t peripheria, qu&aelig; ab vnoquoque eorum qu&aelig; $unt in $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2366 metro punctorum, de$cribitur, $i quodlibet p&utilde;ctorum in motu line&aelig;
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diff changeset
2367 intelligatur $ui, vt puncti, ve$tigium relinquere, vt in eo quod circu-
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
2368 lum vndiquaque comprehendit. Peripheriam autem remotioris pun-
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
2369 cti &agrave; centro, id e$t $emidiametri maioris e$$e maiorem peripheria pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2370 cti centro propinquioris, id e$t $emidiametri minoris, $ic demon$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
2371 bimus.</I></P>
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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2372 <p n=>23</p>
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2373 <P><I>E$to A B C, peripheria $emidiametri maioris A E: item
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diff changeset
2374 D F G, peripheria $emidiametri D H minoris. Dico periphe-
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parents:
diff changeset
2375 riam A B C maiorem peripheria D F G. Producatur enim A E
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parents:
diff changeset
2376 recta vt $it A C
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2377 diameter po$tul.</I>
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2378 <fig>
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parents:
diff changeset
2379 2. <I>it&etilde; D H vt $it
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parents:
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2380 &amp; D G diame-
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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2381 ter. Quia igi-
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parents:
diff changeset
2382 tur vt diameter
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parents:
diff changeset
2383 A C ad $u&atilde; pe-
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parents:
diff changeset
2384 ripheri&atilde; A B C:
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parents:
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2385 ita &amp; D G diameter ad $uam peripheriam D F G, per ea qu&aelig;
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2386 demon$trata $unt ab Archimede prop. 3. lib. de dimen$. circuli, &amp;
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2387 vici&szlig;im proportionales erunt A C diameter ad D G diametrum:
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2388 vt peripheria A B C ad peripheriam D F G prop. 16. lib. 5. &amp;
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2389 quia A E &amp; D H partes $unt pariter multiplicium A C, D G
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2390 vtpote $emidiametri $uarum diametrorum, erit A E ad D H vt
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2391 A C ad D G prop. 15. lib. 5. ergo &amp; peripheria A B C ad peri-
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2392 pheriam D F G: vt A E ad D H prop. 11. lib. eiu$dem. E$t
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2393 autem A E maior: quam D H ex hypothe$i. Erit igitur peri-
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2394 pheria A B C maior: quam peripheria D F G. Et $ic peripheria
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2395 remotioris puncti &agrave; centro maior e$t peripheria puncti centro pro-
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2396 pinquioris, quod fuit demon$trandum.</I></P>
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diff changeset
2397 <P><+></P>
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diff changeset
2398 <P>Quod autem circulus
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diff changeset
2399 c&otilde;trariis cieatur motibus,
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
2400 &amp; alterum extremorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2401 diametri in quo e$t A, dum
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
2402 mouetur antror$um, alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2403 rum in quo e$t B mouea-
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
2404 tur retror$um, ideo non-
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diff changeset
2405 nulli faci&utilde;t, vt ab vna mo-
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
2406 tione multi circuli $imul
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diff changeset
2407 in contraria moueantur:
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
2408 vt quos in deorum templis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2409 $tatuunt, efficientes circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2410 <p n=>24</p>
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parents:
diff changeset
2411 <+>
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diff changeset
2412 los &aelig;reos &amp; ferreos. Si
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diff changeset
2413 enim circulum in quo e$t
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diff changeset
2414 A B, alter circulus in quo
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
2415 e$t G D attigerit, diamc-
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diff changeset
2416 tro circuli A B antror-
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diff changeset
2417 $um mota, diameter circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2418 li G D retror$um moue-
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diff changeset
2419 bitur, circuli in quo e$t A
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diff changeset
2420 diametro circa idem mo-
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diff changeset
2421 ta. Circulus igitur in quo
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diff changeset
2422 e$t G D, contr&agrave;, quam is,
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diff changeset
2423 in quo e$t A B moucbi-
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diff changeset
2424 tur: idemque $equentem
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
2425 in quo e$t E Z 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
2426 eandem cau$am contra $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
2427 mouebit, &amp; eodem 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
2428 $i plures fuerint vno 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
2429 moto itidem faci&etilde;t. Hinc
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
2430 Architecti Fabri, cum h&atilde;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
2431 in circulo naturam depre-
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
2432 hendi$$ent, organ&utilde; fabri-
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
2433 cantur principium occu-
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
2434 lentes, vt $it de machina,
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
2435 $olum hoc, quod admira-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2436 bile, apertum: quod autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2437 cau$a, occultum.</P>
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diff changeset
2438 <head>COMMENTARIVS.</head>
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diff changeset
2439 <P>Qvod autem circulus.] <I>Tertia repugnantia in vnius cir-
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
2440 culi contrar&yuml;s motionibus ante po$ita amplius declaratur, 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
2441 exemplo plurium: $ed contiguorum ab vnica vi primaria $ecundum
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
2442 motus contrarios motorum. Vt $unto tres circuli contingentes quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2443 que fer&egrave; fit denticulis pectinis in$tar $e$e $ubingredientibus in peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2444 phcria pr&aelig;diti, quorum primus A B, moueatur antror$um, $eu$e-
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
2445 cundum $uperiorem peripheriam, vt A feratur ver$us C: alter</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
2446 <foot><I>G D ad</I></foot>
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diff changeset
2447 <p n=>25</p>
22d6a63640c6 moved 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 <I>G D ad illius motum nece$$ario mouebitur propter denticulos, $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
2449 retrors&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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diff changeset
2450 <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
2451 <I>$eu $ec&utilde;-
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2452 dum in-
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parents:
diff changeset
2453 ferior&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
2454 periphe-
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casties
parents:
diff changeset
2455 ri&atilde;, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2456 G 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
2457 tum 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
2458 tius E Z ad $ecundi motum mouebitur etiam, $ed antror$um, vt E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2459 ad F, &amp; $int deinceps alternatim infiniti denticulis $e$e $ubinui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2460 cem ingredientibus, $emper mouebuntur. Vnde tunc &agrave; Fabro dato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2461 principio motionis, vertebra vertebram continenter mouet, vltim&aacute;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2462 que ab illis $imulacrorum excita fit pr&aelig;teruectio, non aliter quans in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2463 animalium genere &agrave; $en$u, vel intellectione motionum exorto prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2464 cipio intrin$ecis commotis cau$is, $eque inuicem mouentibus, vt alij
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2465 po$tmodum extrin$ecus, cum partium ip$arum, tum etiam vniuer$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2466 corporis vi$untur motus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2467 <P>Hinc architecti.] <I>Sicuti ante ex vnius circuli contrar&yuml;s 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
2468 tibus libram, vectem, mechanic&aacute;que in$trumenta magnam habere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2469 vim ad onera mouendum $ubindicauit: $ic nunc ex circulorum con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2470 tiguorum &amp; vari&egrave; multiplicatorum contrar&yuml;s motionibus machi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2471 nas quamplurimas effici o$t&etilde;dit, quibus credibile e$t veteres paganos,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2472 qui veris miraculis de$titueb&atilde;tur, in templis $uorum deor&utilde; collocatis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2473 &amp; etiam per vrbium vicos, &amp; plateas ge$tatis, authoritat&etilde; d&yuml;s $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2474 c&otilde;flaui$$e, &amp; ignaro vulgo mirificis modis ita impo$ui$$e. Huius rci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2475 fecit mentionem Galenus, qui miracula inquit moliuntur principio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2476 motionis exhibito di$cedunt, Machin&aelig; vero ip$&aelig; aliquanti$per, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2477 multo tamen tempore per $e ip$&aelig; arti$icios&egrave; impelluntur. cap. 6. lib. de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2478 f&oelig;t. format. Herodotus hi$toria $ecunda videtur ex his aliqua</I> <G>neu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2479 ro/dpasa</G> <I>appella$$e: qua$i diceremus, per funiculos tanquam neruos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2480 circa rotulas inuolutos, var&yuml;s motibus agitata. Eiu$modij erant ade&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2481 celebrat&aelig; D&aelig;dali $tatu&aelig;, qu&aelig; inquit Plato ni$i ligat&aelig; aufugiebant,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2482 <marg>In Menone</marg>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2483 <I>&amp; vago quodam $inuo$oque impetu ferebantur in fugam: ligar&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2484 vero permanebant, vnde ill&aelig; non magno pretio emebantur in$tar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2485 $erui fugitiui: h&aelig; contra magno. Erant enim pr&aelig;clara opera.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2486 <foot>D</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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2487 <p n=>26</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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2488 <I>Hodie etiam no$tri artifices ex hac plurium rotularum mira in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2489 ter $e coniunctione, aliquoque ex $e mobili vt animali, vento, fu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2490 mo, aqua, lamina chalybea primum motum $uppeditante commota</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
2491 <G>ao)to/ma<+>a</G> <I>faciunt non $olum admirabilia: $ed etiam maxim&egrave; vti-
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diff changeset
2492 lia, qualia $unt horologia veterum clep$ydras, &amp; gnomones $ine luce
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diff changeset
2493 &amp; $erenitate inutiles, commoditate &amp; perpetuitate long&egrave; $uperan-
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diff changeset
2494 tia, quibus hodie dies ciuilis in 24. partes, quas horas vocant, di-
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diff changeset
2495 $tribuitur. Ex quibus alia $unt $tataria, &amp; in $ummis templorum no-
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
2496 $trorum partibus collocata: alia in homin&utilde; collis, Zon&iacute;$ue app&etilde;$a pr&aelig;
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parents:
diff changeset
2497 exiguitate ponderis nullo modo mole$ta, circunfer&utilde;tur. Sed ne$cio 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
2498 fama, an fide nobilius $it illud, quod A&racute;gentorati in loco ciuitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2499 eminenti&szlig;imo po$itum e$t, in quo vniuer$i mundi c&aelig;le$tis com-
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diff changeset
2500 pago, orbibus $uis in $uas partes di$tincta vi$itur, In hoc enim
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parents:
diff changeset
2501 octaui orbis tardi&szlig;imum motum, Zodiaci duodccim $igna, Solis per
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parents:
diff changeset
2502 puncta ecliptica tran$itum, Lun&aelig; varias apparitiones, $ingulorum
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parents:
diff changeset
2503 planetarum progre$$us, regre$$us, $tationes, latitudines, altitudines,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2504 innumeraque alia pr&aelig;ter temporum momenta, &amp; horastum &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2505 les, tum in&aelig;quales intueri licet. Ita tamen, vt quod hic dicitur, quic-
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diff changeset
2506 quid e$t rotarum, ponderum, molarum, denticulorum, nolarum, vir-
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parents:
diff changeset
2507 garum, funi&utilde;, atque aliorum in$trumentor&utilde; magna ex parte intus
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parents:
diff changeset
2508 delite$cat, &amp; occultetur, qu&aelig; ver&ograve; in tanta machina tot admirabilia
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parents:
diff changeset
2509 $unt, appare&atilde;t. H&aelig;c, &amp; qu&aelig; imaguncularum ince$$um, $altum, cho-
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diff changeset
2510 reas repr&aelig;$entant, faciunt, vt qu&aelig; de Archit&aelig; columba volatili, &amp;
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diff changeset
2511 de Archimedis $ph&aelig;ra ver$atili memori&aelig; reliquit antiquitas, pre
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diff changeset
2512 fal$is minime habeamus.</I></P>
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diff changeset
2513 <P><+></P>
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diff changeset
2514 <P>2. De libra propter quid
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diff changeset
2515 maior linea in circulo
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diff changeset
2516 celerius fertur, minore.
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diff changeset
2517 Ex quo fit vt libr&aelig; ma-
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diff changeset
2518 iores minoribus $int
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diff changeset
2519 exactiores.</P>
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diff changeset
2520 <P><+></P>
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diff changeset
2521 <P>Prim&utilde; igitur qu&ecedil; circa li-
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parents:
diff changeset
2522 br&atilde; c&otilde;tingunt, difficultat&etilde;
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diff changeset
2523 adfer&utilde;t. Ob quam cau$am
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diff changeset
2524 <p n=>27</p>
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2525 <+>
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parents:
diff changeset
2526 libr&aelig; maiores minoribus
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diff changeset
2527 $int exactiores. Huius vero
22d6a63640c6 moved 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 principi&utilde; e$t quare in cir-
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diff changeset
2529 culo di$t&atilde;tior linea &agrave; cen-
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diff changeset
2530 tro, ei propinquiore ead&etilde;
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diff changeset
2531 vi mota celerius fertur.
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diff changeset
2532 Celerius autem dicitur bi-
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parents:
diff changeset
2533 fariam, $iue enim in mino-
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diff changeset
2534 ri tempore &ecedil;quale $patium
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diff changeset
2535 tran$ierit, celerius e$le di-
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2536 cimus: $iue in t&etilde;pore &ecedil;qua-
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diff changeset
2537 li, maius. Maior autem li-
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diff changeset
2538 nea in &aelig;quali t&etilde;pore ma-
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parents:
diff changeset
2539 iorem circulum de$cribit.
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
2540 Qui enim extra e$t, maior
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2541 e$t eo, qui intus.</P>
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2542 <head>COMMENTARIVS.</head>
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2543 <P>De libra propter.] <I>In hoc capite Ari$toteles vult o$tendere
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diff changeset
2544 cur libr&aelig; longiorum brachiorum $int exactiores: quam libr&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
2545 breuiorum. Et huius problematis cau$am refert ad circulum, circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2546 lique eam proprietatem, qua rad&yuml; longiores celerius, id e$t 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
2547 tempore maius $patium conficiunt, quam breuiores. Quod quia futu-
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
2548 rum e$t fundamentum multorum aliorum problematum po$tea ex-
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diff changeset
2549 plicandorum, diligenter imprimis demon$trat. Et primum quod re-
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diff changeset
2550 cta de$cribens circulum (vno nomine relicta periphra$i radium h&icirc;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
2551 appellabimus) duabus lationibus feratur, ii$que in nulla ratione &amp;
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parents:
diff changeset
2552 nullo tempore. Et ex his alteram e$$e $ecundum naturam, alteram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2553 pr&aelig;ter naturam. Po$trem&ograve; quod latio $ecundum naturam in maiore
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parents:
diff changeset
2554 circulo maior $it: quam in minore. Latio autem pr&aelig;ter naturam 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
2555 minore circulo maior $it: quam in maiore.</I></P>
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parents:
diff changeset
2556 <P>Primum igitur.] <I>Proponitur problema de librarum 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
2557 lium exactiore iudicio, quod pendet &agrave; minorum ponderum deprehen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2558 $ione, vt ea $it exactior per quam minora pondera expendi po$$unt.</I></P>
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parents:
diff changeset
2559 <P>Huius vero.] <I>Cau$a exactiorum librarum refertur ad circuli</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
2560 <foot>D ij</foot>
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casties
parents:
diff changeset
2561 <p n=>28</p>
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parents:
diff changeset
2562 <I>radios longiores, qui celerius feruntur minoribus, id e$t qui &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
2563 tempore maius $patium, &amp; proinde $en $ibilius tran$eunt.</I></P>
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parents:
diff changeset
2564 <P>Celerius enim.] <I>Celeritatis lationum duos modos adfert $i-
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parents:
diff changeset
2565 miles &yuml;s quos cap. 2. lib. 6. de Phy$. auditu attulit, vt vtro longioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2566 rad&yuml; celeritas accipi debeat, intelligatur.</I></P>
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parents:
diff changeset
2567 <P>Qui enim extra.] <I>E duobus circulis concentricis, qui extra 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
2568 e$t quoddam tot&utilde;, &amp; internus e$t externi vna pars. Cum itaq; totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2569 maius $it $ua parte ex 9. axiom. lib. 1. ele. externus circulus interno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2570 concentrico erit maior. Pr&aelig;terea c&utilde; circuli &aelig;quales $int, quor&utilde; $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2571 diametri $int &aelig;quales def. 1. lib. 3. ele. Illi quorum $emidiametri $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2572 in&aelig;quales, erunt &amp; in&aelig;quales, &amp; ille maior, euius $emidiameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2573 maior. Qu&aelig; licet vera $int non tamen $tatim $equitur figur&aelig; plan&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2574 cuius area maior e$t, e$$e &amp; perimetrum maiorem vt ex 36. 37.
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casties
parents:
diff changeset
2575 prop. lib. 1. elem. demon$trari facile pote$t: neque $i rur$us perimeter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2576 contineat perimetrum, vt continens contento $it maior, vt patere
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casties
parents:
diff changeset
2577 pote$t ex eo, quod e$t &agrave; Proclo adductum ad prop. 21. lib. 1. elem. De
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casties
parents:
diff changeset
2578 duabus rectis intra triangulum, rectangulum vel amblygonium
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casties
parents:
diff changeset
2579 comprehen$is, qu&aelig; maiores con$titui po$$unt &yuml;s &agrave; quibus ambiuntur.
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casties
parents:
diff changeset
2580 Ob h&aelig;c igitur, cum hic locus non tam debeat intelligi de circulis,
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diff changeset
2581 quam circulorum peripherijs, merit&ograve; ante, cum huius proprietatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2582 mentio fieret, capite pr&aelig;cedenti peripheriam maioris circuli periphe-
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diff changeset
2583 ria minoris maiorem e$$e demon$trauimus, $ed etiam huius magni-
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diff changeset
2584 tudinis maioris cau$a, hic ab Ari$totele $ubiungitur.</I></P>
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diff changeset
2585 <P><+></P>
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diff changeset
2586 <P>Horum vero cau$a e$t,
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diff changeset
2587 quod recta de$cribens cir-
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diff changeset
2588 cul&utilde; $ecund&utilde; duas latio-
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diff changeset
2589 nes fertur. C&utilde; igitur in ali-
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diff changeset
2590 qua ratione du&ecedil; s&utilde;t ill&aelig; la-
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diff changeset
2591 tiones, nece$$e e$t id, quod
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diff changeset
2592 fertur $ecund&utilde; rect&atilde; ferri,
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diff changeset
2593 qu&aelig; fit diameter figur&aelig;,
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parents:
diff changeset
2594 qu&atilde; rect&aelig; in ea ratione c&otilde;-
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diff changeset
2595 $titut&aelig;, c&otilde;prehendunt. Sit
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diff changeset
2596 enim ratio $ecund&utilde; quam
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diff changeset
2597 mobile fertur ea: quam ha-
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diff changeset
2598 <p n=>29</p>
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diff changeset
2599 <+>
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parents:
diff changeset
2600 bet <G>a b</G> ad <G>a g,</G> &amp; quidem
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diff changeset
2601 <G>a</G> feratur ad <G>b,</G> &amp; <G>a b_</G>
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diff changeset
2602 etiam feratur ad <G>h g</G>: la-
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parents:
diff changeset
2603 tum vero $it <G>a</G> ad <G>d,</G> &amp;
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diff changeset
2604 <G>a b</G> ad <G>e.</G> Igitur cum latio-
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diff changeset
2605 nis ratio erat ea quam ha-
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diff changeset
2606 bet <G>a b</G> ad <G>a g</G>: nece$$e
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diff changeset
2607 e$t &amp; ip$am <G>a d</G> ad <G>a e</G> ean-
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diff changeset
2608 dem habere rationcm. 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
2609 mile e$t enim ratione par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2610 uum quadrilaterum maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2611 ri. Itaque &amp; eadem diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2612 ter vtriu$que, &amp; ip$um <G>a</G>
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diff changeset
2613 erat vbi <G>z.</G> Eodem modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2614 demon$trabitur vbic&utilde;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
2615 latio deprehen$a fuerit. S&etilde;-
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parents:
diff changeset
2616 per enim $upra diametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2617 erit. Manife$tum igitur
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diff changeset
2618 quod latum $ec&utilde;dum dia-
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diff changeset
2619 metrum duabus lationi-
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
2620 bus nece$$e habet in ratio-
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diff changeset
2621 ne laterum ferri.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2622 <head>COMMENTARIVS.</head>
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parents:
diff changeset
2623 <P>Horum vero cau$a.] <I>In&aelig;qualium circulor&utilde; ab in&aelig;qualibus
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diff changeset
2624 radiis de$criptor&utilde;, &amp; maioris quidem &agrave; maiori multo ab$tru-
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parents:
diff changeset
2625 $ior a&szlig;ignatur cau$a ex radij de$cribentis circulum duabus lationi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2626 bus, qu&aelig; inter $e null&atilde; ration&etilde; $eruant. Atque hinc elicitur quinta in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2627 circulo repugnantia, ex qua admiratio eius maior: quam ante e$$e
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parents:
diff changeset
2628 concluditur. E lationibus enim illis vna e$t $ecundum naturam,
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parents:
diff changeset
2629 altera pr&aelig;ter naturam. Et vtri$que vnum idemque ferri in nullo
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
2630 tempore, id e$t in in$tanti indiui$ibili, quomodo non e$$et valde ad-
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parents:
diff changeset
2631 mirabile? Circuli igitur radius, qui his duabus ita fertur in de$cri-
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
2632 ptione circuli, &amp; circulus, qui &agrave; radio tali efficitur, erit admirabilis.</I></P>
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
2633 <P>Cum igitur in.] <I>Aggreditur demon$trare rad&yuml; duas lationes
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diff changeset
2634 nullam habere rationem inter $e. Syllog. $ic e$t. Omne duabus latio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2635 nibus rationem aliquam inter $e $eruantibus latum, fertur $ecundum</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
2636 <foot>D iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2637 <p n=>30</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2638 <I>rectam. Radius de$cribens circulum duabus $uis lationibus, 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
2639 Jertur $ecundum rectam. Radij igitur iationes in nulla $unt ra-
22d6a63640c6 moved 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 tione. Propo$itio confirmatur cum&verbar; $equenti diagrammate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2641 E$to rectangulum</I> <G>a b h g</G> <I>com-</I>
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parents:
diff changeset
2642 <fig>
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parents:
diff changeset
2643 <I>prehen$um $ub rectis</I> <G>a b, a g,</G>
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diff changeset
2644 <I>qu&aelig; $int inter $e in ratione, quam
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parents:
diff changeset
2645 du&aelig; lationes ip$ius</I> <G>a</G> <I>habent.
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parents:
diff changeset
2646 Et intelligatur a latum ver$us</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
2647 <G>b</G> <I>perueni$$e ad</I> <G>d,</G> <I>&amp; ver$us</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
2648 <G>g</G> <I>perueni$$e ad</I> <G>e</G>: <I>$icque 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
2649 lationum ip$ius</I> <G>a</G> <I>ratio $it vt</I>
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parents:
diff changeset
2650 <G>a b</G> <I>ad</I> <G>a g,</G> <I>ergo erit &amp;</I> <G>a d</G>
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parents:
diff changeset
2651 <I>ad</I> <G>a e</G>: <I>vt</I> <G>a <+></G> <I>ad</I> <G>a y,</G> <I>&amp; rectrangulum minus</I> <G>a d z e</G> <I>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
2652 munem angulum</I> <G>a</G> <I>cum maiori</I> <G>a b h g</G> <I>habens &amp; $imile 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
2653 def. 1. lib. 6. &amp; proinde circa eandem dimentientem conuer$. prop.</I>
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diff changeset
2654 24. <I>lib. 6. Et $ic</I> <G>a</G> <I>duabus $uis $ic lationibus latum erit in</I> <G>z,</G> <I>vt vbi-
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
2655 cumque lationes ip$ius</I> <G>a</G> <I>$i$tentur, $emper $int $upra diametrum</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
2656 <G>a h.</G> <I>$iquidem lationes i$t&aelig; $unt in ratione</I> <G>a b</G> <I>ad</I> <G>a g.</G> <I>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
2657 $upra rectam, quia omnis diameter rectanguli recta e$t. Huic con-
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casties
parents:
diff changeset
2658 $entit quod &agrave; Proclo ex Gemino acceptum $ic expo$itum e$t. Si qua-
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parents:
diff changeset
2659 drangulum duo$que motus qui &aelig;quali celeritate fiant, alterum qui-
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casties
parents:
diff changeset
2660 dem per longitudinem: alterum vero per latitudinem intellexeris
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parents:
diff changeset
2661 dimetiens producetur recta exi$tens linea, lib. 2. comm. in def. rect&aelig;
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casties
parents:
diff changeset
2662 line&aelig;. Nunc igitur ponatur</I> <G>a</G> <I>extremum radij duabus lationibus
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casties
parents:
diff changeset
2663 de$cribere circulum non digrediens &agrave; recta producere rectam, quod
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diff changeset
2664 e$t contra naturam circuli. Non igitur du&aelig; lationes ip$ius</I> <G>a</G> <I>ferun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2665 tur in ratione</I> <G>a b</G> <I>ad</I> <G>a g.</G> <I>Sed h&icirc;c obiici pote$t quod Sol motu pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2666 mi mobilis mouetur ab Oriente in Occidentem in 24. horis, &amp; motu
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casties
parents:
diff changeset
2667 proprio ab Occidente in Orientem in aliquo tempore quantum e$t
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casties
parents:
diff changeset
2668 quod re$pondet &aelig;quatori coa$cendenti cum 59'. 8". Eclyptic&aelig;. Et $ic
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2669 eius du&aelig; lationes $unt in ratione aliqua, nec tamen Sol fertur $ecun-
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diff changeset
2670 dum rectam $ed $ecund&utilde; arcum Eclyptic&aelig;. Ita e$t, ob id dicend&utilde; hic
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2671 dictas ab Ari$totele du&aelig; lationes non $impliciter intellig&etilde;das: $ed ta-
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2672 les, qu&aelig; fer&atilde;tur amb&aelig; $ecund&utilde; rectam. Et $it manebit demon$tratio.</I></P>
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2673 <P>Simile e$t enim.] <G>tw_ lo/gw,</G> <I>id e$t ratione, redundat quia qu&aelig;
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2674 $imilia $unt quadrangula, habent latera, qu&aelig; circum &aelig;quales angu-
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2675 los propertionalia, ex def. 1. lib. 6. elem.</I></P>
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2676 <p n=>31</p>
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2677 <P><+></P>
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2678 <P>Si enim in alia aliqua,
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2679 non feretur $ec&utilde;dum dia-
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2680 metrum. Si vero mobilis
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2681 du&aelig; lationes in nulla $int
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2682 ratione, nulloque in tem-
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2683 pore, impo$$ibile e$t latum
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2684 e$$e $ecundum rectam. Sit
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2685 enim recta, qua po$ita pro
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2686 diametro, &amp; completis la-
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2687 teribus nece$$e e$t mobile
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2688 in ratione laterum latum
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2689 e$$e. Hoc enim prius fuit
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2690 demon$tratum. Non igi-
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2691 tur $ecundum rectam pro-
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2692 gredietur, id quod fertur
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2693 in nulla ratione, nulloque
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2694 in tempore. [Si enim $e-
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2695 c&utilde;dum rationem aliquam
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2696 latum $it in aliquo tempo-
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2697 re, nece$$e e$t illud tempus
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2698 rectam e$$e lationem, pro-
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diff changeset
2699 pter ea qu&aelig; ante dicta $unt.] Itaque circulare e$t quod
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2700 $ecundum duas lationes latum e$t in nulla ratione nullo
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2701 in tempore.</P>
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2702 <head>COMMENTARIVS.</head>
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2703 <P>Si enim in alia.] <I>Locus hic paulo ob$curior, debet $ic intelligi,
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2704 vt $i excmpli gratia, a duabus lationibus latum non feratur in
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diff changeset
2705 ratione quidem data</I> <G>a b</G> <I>ad</I> <G>a g</G>: <I>$ed</I>
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2706 <fig>
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2707 <I>in alia, non feretur $ecundum diame-
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2708 trum</I> <G>a h,</G> <I>nihilominus tamen feretur
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diff changeset
2709 $ecundum rectam, qu&aelig; erit diameter
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diff changeset
2710 figur&aelig; &agrave; lateribus alterius rationis
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2711 con$titut&aelig;, vt e$t in pr&aelig;$enti dia-
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diff changeset
2712 grammate</I> <G>a x</G> <I>diameter quadrilateri
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diff changeset
2713 $ub</I> <G>a d, a e</G> <I>comprehen$i.</I></P>
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2714 <p n=>32</p>
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2715 <P>Si vero mobilis.] <I>Conclu$io e$t confirmata reiterato propo$i-
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diff changeset
2716 tionis pr&aelig;cedentis pro$yllogi$mo, $ic. Si du&aelig; lationes puncti mobilis
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diff changeset
2717 $unt in nulla ratione, nulloque in tempore, impo&szlig;ibile e$t mobile hoc
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diff changeset
2718 latum e$$e $ecundum rectam: atqui puncti de$cribentis circulum du&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
2719 lationes $unt in nulla ratione, null&oacute;que in tempore. Ergo impo&szlig;ibile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2720 e$t punctum, quod de$cribit circulum, ferri $ecundum rectam. Sint
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diff changeset
2721 enim lationes ill&aelig; in aliqua ratione. Ergo punctum feretur $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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2722 dum rectam: at non fertur $ecundum rectam. Peripheria enim non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2723 e$t recta: $ed curua. Non igitur in aliqua ratione $unt illius lationes.
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diff changeset
2724 Et $i non in vlla ratione. nec igitur in tempore, quia tempora moti-
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parents:
diff changeset
2725 bus analoga $unt. H&icirc;c duo occurrunt valde difficilia. Prius de
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parents:
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2726 tempore. Demon$trauit enim Ari$toteles in Phy$icis, omnem mo-
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parents:
diff changeset
2727 tum e$$e in tempore: alterum, cum amb&aelig; lationes $int in eodem ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2728 nere motus, $cilicet localis, qu&icirc; fiet, vt rationem non habeant. Hoc
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2729 enim repugnat def. 3. lib. 5. elem. quantitas enim motus vnius mul-
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diff changeset
2730 tiplicata, alterius vici&szlig;im quantitatem $uperare pote$t. Dicimus
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2731 ergo quod ad hoc po$terius attinet, rationem illas habere: $ed</I> <G>a)/r)r(n<+>ov,</G>
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2732 <I>&amp; non $olum indicibilem, quod numeris exprimi nequeat: $ed &amp;
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diff changeset
2733 quod rectis lineis geometric&egrave; id e$t exact&egrave;, exprimi non po&szlig;it, qualis
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2734 non e$t inter duas lationes &egrave; quibus recta creatur, cum h&aelig;c $i nume-
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parents:
diff changeset
2735 ris non po&szlig;it exprimi, at rectis lineis $altem geometric&egrave; exprimitur.
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2736 vt cum duarum rectarum, qu&aelig; parallelogrammum con$tituunt, vna
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parents:
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2737 e$t latus quadrati alicuius, altera e$t eius diameter. Tunc enim ratio
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2738 e$t rectis illis licet incommen$erabilibus prop. 116. lib. 10. expre$$a.
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parents:
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2739 At h&icirc;c vt inter peripheriam &amp; diametrum $it aliqua ratio, veluti
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parents:
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2740 inter arcum &amp; $ubtendentem: h&aelig;c tamen neque numeris exprimi
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2741 pote$t, nec rectis lineis Geometrice vt videre e$t ex Archimede
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diff changeset
2742 lib.</I> <G>w_<+>i\ uetsh/d. kuk,</G> <I>&amp; Ptol. lib. 1.</I> <G>me/gal. dw<+>.</G> <I>quod autem ad
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parents:
diff changeset
2743 prius attinet in lationibus illis tempus admittitur, $ed hoc e$t eiu$mo-
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diff changeset
2744 di, vt nullum eius detur in$tans, quo vna latio fiat, quo etiam non
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2745 &amp; altera itidem fiat: quod prioribus licet commune e$$e po&szlig;it: pro-
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2746 pter tamen laterum in&aelig;qualitatem vbi in &aelig;qualia dantur, non ita
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2747 $implex &amp; indiui$ibile e$t. C&aelig;terum duas has motiones facile ani-
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2748 mo concipiet, qui viderit pueros no$trates $ub medio vere, quo genus
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2749 hoc in$ecti in ro$ar&yuml;s no$tris abundat, captam vnam grandiorem
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2750 mu$cam viridem Cathelinam ip$i vocant, pede adfuniculum alliga-</I>
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2751 <foot><I>tamper</I></foot>
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2752 <p n=>33</p>
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2753 <I>tam permittere volare: ita tamen vt digitis alterum extremum funi-
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2754 culi retineant. H&aelig;c enim in altero extremo mu$ca, tanquam in ex-
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2755 tremo rad&yuml; circulum de$cribentis volatu $uo de$cribit circulum: hic
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2756 volatus compo$itus e$t &egrave; duobus motibus: vno, quo h&aelig;c mu$ca pro-
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2757 prio fertur, $ec&utilde;dum quem $e$e &egrave; vinculo liberare conatur: altero, quo
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diff changeset
2758 per vinculum retinetur, ne euagetur longius, quam longitudo
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
2759 funiculi permittit. Ibi motus mu$c&aelig; violentus e$t, &amp; non naturalis
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diff changeset
2760 vt &agrave; quo etiam cum pes abrumpitur pr&aelig; $uo conatu, aut nodus for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2761 tuit&ograve; laxatur, $i liberatur, $tatim rect&agrave; aufugit.</I></P>
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
2762 <P>Si enim $ecundum.] <I>Hanc particulam parenthe$i $ic [ ] in-
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diff changeset
2763 tercludendam curauimus, quod eam $uperuacuam e$$e cum Leonico
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
2764 exi$timemus.</I></P>
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parents:
diff changeset
2765 <P>Itaque circulare.] <I>Proinde e$t ac $i diceret, cum via $eu linea
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diff changeset
2766 per quam fertur rad&yuml; extremum mobile $it maxime vniformis, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2767 ex definitione circuli con$tat, nec tamen recta: re$tat, vt $it circula-
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parents:
diff changeset
2768 ris $eu rotunda, &agrave; medio $cilicet comprehen$i $pat&yuml; &aelig;qualiter ex omni
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diff changeset
2769 parte di$tans. quod nulli alij obliquarum linearum conuenire pore$t:
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diff changeset
2770 non ellip$i quidem, quia licet vna $it linea, &amp; extremum in ea fiat
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parents:
diff changeset
2771 primum, vt in peripheria: nullum tamen punctum in eius medio e$t,
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diff changeset
2772 &agrave; quo omnes rect&aelig; ad ellip$is peripheriam $int &aelig;quales: non parabo-
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parents:
diff changeset
2773 l&aelig;, non hyperbol&aelig;, non $pirali $eu volut&aelig;. Quia in nulla harum, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
2774 e$t extremum fit primum, quod peripheri&aelig; conuenit. Pr&aelig;terea nulla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2775 harum $implex e$t linea. Agitur h&icirc;c autem de $implicibus tantum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2776 qu&aelig; vno $implici motu, vel $i duobus, ijs $imilibus creantur, &amp; $i-
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parents:
diff changeset
2777 milares $unt: quales cum du&aelig; tantum $int recta $cilicet &amp; circula-
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diff changeset
2778 ris, inde bene inferetur &egrave; po$ita $implic&egrave; $i recta non e$t, e$$e cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2779 cularis.</I></P>
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parents:
diff changeset
2780 <P><+></P>
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parents:
diff changeset
2781 <P>Quod vero recta de$cri-
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parents:
diff changeset
2782 b&etilde;s circulum duabus $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
2783 lationib^{9} feratur, c&utilde; 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
2784 e$t manife$t&utilde;, t&utilde; quod lata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2785 $ecund&utilde; rect&atilde; fieret num-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2786 quam perpendicularis. 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
2787 fieri &agrave; c&etilde;tro perpendicula-
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parents:
diff changeset
2788 r&etilde; [dem&otilde;$trem^{9}]. Sit circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2789 <foot>E</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2790 <p n=>34</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2791 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2792 lus <G>a b g,</G> &amp; extremum <G>b</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
2793 feratur ad <G>d,</G> perueniet $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
2794 ne aliquando ad <G>g.</G> [Si igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2795 tur ferebatur in ratione
22d6a63640c6 moved 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 quam habet <G>b e</G> ad <G>e g,</G> 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
2797 rebatur $ecundum diame-
22d6a63640c6 moved 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 trum <G><+> g</G>: Atnunc cum 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
2799 nulla ratione feratur, $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
2800 cundum peripheriam <G>b e g</G>
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parents:
diff changeset
2801 feretur.]</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2802 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2803 <P>Qvod vero recta.] <I>Quia $uperioris $yllogi$mi a$$umptio a$$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
2804 mebat Radi&utilde; duabus $imul ferri lationibus, id ip$um h&icirc;c breui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2805 ter, ideo valde ob$cur&egrave; confirmatur. Confirmatio apertior $ic erit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2806 Radius de$cribens circulum vna tantum latione fertur, aut pluri-
22d6a63640c6 moved 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 bus: non vna tantum, quia ad vnam tantum loci differentiam,
22d6a63640c6 moved 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 cum $it quid $implici&szlig;imum, ferretur (probat enim hoc Ari$toteles
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2809 cap. 2. lib. 1. de C&oelig;lo) Quinetiam $i $ic. Idem radius &agrave; diametro 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
2810 <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
2811 <I>culi digrediens in tran$itu ab vna $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2812 metro ad alteram numquam con$equeretur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2813 cum $itum, per quem ip$i &agrave; centro 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
2814 dicularis e$$et. Con$equitur autem vt cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2815 e$t in L</I> <G>g</G> <I>diagrammatis hic de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2816 pti. Non igitur vna latione tantum fer-
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parents:
diff changeset
2817 tur: fertur ergo pluribus. Et quidem vna, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2818 antror$um: qua qua $i diffunditur, &amp; ab$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
2819 dit foras, vt</I> <G>b</G> <I>ver$us E in hoc diagrammate: altera vt retror-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2820 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2821 <I>$um ver$us centrum: qua retrahitur, ne euage-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2822 tur longius, quam &aelig;qualitas di$tanti&aelig; vndi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2823 que &agrave; centro $eruand&aelig; permittit, vt idem</I> <G>b</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2824 <I>ver$us L. V traque autem h&aelig;c latio quanta $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2825 men$uraturlineisrectis, quarum altera in po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2826 riore diaorammate e$t $inus rectus</I> <G>g e,</G> <I>altera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2827 ver&ograve; e$t $inus ver$us</I> <G>b g.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2828 <p n=>35</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2829 <P>Demon$tremus.] <I>Dee$t hoc vocabulum in Gr&aelig;co $ine quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2830 $en$us e$t imperfectus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2831 <P>Si igitur ferebatur.] <I>Rur$us totum hunc textum his notis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2832 [ ] interclu$um inaniter repeti arbitramur. hoc enim e$t quod an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2833 teae$t demon$tratum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2834 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2835 <P>Si vero duorum eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2836 vi latorum vnum plus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2837 pellitur, alterum minus:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2838 &aelig;quum e$t, plus repul$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
2839 altero minus repul$o tar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2840 dius ferri. Quod videtur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2841 contingere maiori &amp; mi-
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parents:
diff changeset
2842 nori lineis ab eodem cen-
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casties
parents:
diff changeset
2843 tro circulos de$crib&etilde;tibus.
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casties
parents:
diff changeset
2844 Quia enim extremum mi-
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casties
parents:
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2845 noris propius e$t quie$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2846 ti, quam $it extrem&utilde; maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2847 ris: qua$i in contrarium re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2848 uul$um, in medium tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2849 fertur ip$um minoris extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2850 mum. Omni igitur circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2851 lum de$cribenti hoc con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2852 tingit.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2853 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2854 <P>Si vero duorum.] <I>Vbi confirmauit in omni radio circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2855 de$cribente duas lationes ine$$e, nunc eas comparat in rad&yuml;s in&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2856 qualibus, quod ad celeritatem &amp; tarditatem attinet. Et quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2857 eam, qu&aelig; $ecundum naturam e$t in radio maiore, maiorem: eam ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2858 ro, qu&aelig; pr&aelig;ter naturam, minorem e$$e in eodem demon$trat, vt ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2859 dium maiorem celerius ferri minore concludat. Syllogi$mus 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
2860 connexus $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2861 <P><I>Si duorum eadem vi motorum vnum plus repellitur, alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2862 minus: quod plus repellitur, tardius fertur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2863 <foot>E ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2864 <p n=>36</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2865 <P><I>Radiorem in&aelig;qualium eadem vi motorum minor plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2866 repellitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2867 <P><I>Radius igitur minor tardius feretur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2868 <P>Quia enim minoris.] <I>pro$yllogi$mus e$t a$$umptionis $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2869 <P><I>Quod propius e$t quie$centi &amp; immoto plus retrahitur, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2870 idem e$t ac plus repellitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2871 <P><I>Extremum rad&yuml; minoris mobile propius e$t centro, alteri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2872 $cilicet extremo quie$centi &amp; immoto: quam extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2873 mum maioris.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2874 <P><I>Ergo extremum rad&yuml; minoris mobile plus retrahetur retror-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2875 $um, &amp; ab anteriori repelletur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2876 <P><I>Illu$trari h&aelig;c c&otilde;clu$io po$$et $imilitudine ampli &amp; lat&egrave; patentis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2877 gni, in cuius medio tanquam centro, cum rex pr&aelig;$ideat, partes me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2878 dio vicin&aelig; regis legibus magis coarctantur &amp; continentur: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2879 remot&aelig;.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2880 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2881 <P>Et fertur motu $ecund&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2882 naturam per peripheriam:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2883 pr&aelig;ter natur&atilde; vero in tr&atilde;$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2884 uer$um, &amp; centrum ver$us.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2885 Minor vero [linea] $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2886 maior&etilde; motum habet eum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2887 qui pr&aelig;ter natur&atilde; e$t. quia
22d6a63640c6 moved 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 enim centro vicinior 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
2889 $e reuell&etilde;ti, vincitur magis.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2890 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2891 <P>Et fertur motu.] <I>E duobus motibus in extremo rad&yuml; mobili
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2892 alterum $ecundum naturam e$$e dicit, nempe qui e$t $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2893 peripheriam, alterum pr&aelig;ter naturam, qui e$t in tran$uer$um, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2894 ver$us centrum. Sed rationem huius hic nullam profert. H&aelig;c au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2895 tem alibi ab eo dicta adferri pote$t. quia quicquid $implex exi$tens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2896 duabus lationibus $imul fertur, alteram naturalem, alteram pr&aelig;ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2897 naturam habere $eu vt ita dicam $ecundariam, &amp; ab alio penden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2898 tem nece$$e e$t: $icuti videre e$t in motibus inferiorum orbium c&aelig;le-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2899 <p n=>37</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2900 <I>$tium, qui proprio ab occa$u in Orientem vergunt, &amp; motu primi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2901 mobilis ab Oriente in occa$um mouentur. Ergo cum extremum rad&yuml;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2902 mobile aut radius ip$e $it quid $implici&szlig;imum, &amp; $imul duabus la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2903 tionibus feratur, altera harum erit ei naturalis, altera ad vim alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2904 rius con$equetur. Et illa quidem potius naturalis erit qu&aelig; &agrave; termino &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2905 quo egredi conatur, &amp; quantum in $e e$t, di$cedit. Talis autem e$t ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2906 qua extremum mobile veluti di$cedens &agrave; centro $ecundum periphe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2907 riam fertur. Tum qua forma rei acquiritur, qualis latio per circum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2908 ferentiam, cum h&aelig;c $it circuli forma $eu finis. Relinquitur ergo vt ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2909 $it contra natur&atilde; &amp; per accidens, qua ad ip$um centrum reuellitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2910 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2911 <P>Quod vero minor plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2912 pr&aelig;ter naturam moueatur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2913 quam maior earum, qu&ecedil; ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2914 centro de$crib&utilde;t circulos,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2915 ex his erit manife$tum. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2916 circulus <G>b g d e,</G> &amp; alter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2917 minor <G>x n m c,</G> eiu$dem 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
2918 tri <G>a,</G> Et traduct&aelig; $int dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2919 metri in magno quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2920 <G>g d, &amp; b e</G>: in minori <G>m c &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2921 x n</G>: atque alterolongum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2922 compleatur <G>d y r g.</G> Si igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2923 tur <G>a b</G> de$cribens circul&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2924 perueniet ad id vnde mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2925 ueri c&oelig;pit, manife$tum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2926 quod fertur ad ip$am [<G>a b</G>]
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2927 $imiliter <G>a x</G> perueniet ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2928 ip$am <G>a x.</G> Tardius autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2929 fertur <G>a x</G>: quam <G>a b,</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
2930 dict&utilde; e$t, propter maiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2931 repul$ion&etilde; &amp; reuul$ionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2932 ip$ius <G>a x.</G> Ducatur vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2933 recta <G>a q h, &amp; a q</G> excitetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2934 perpendicularis ad <G>a b,</G> qu&ecedil;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2935 $it <G>q z</G> in circulo [minori].
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2936 <foot>E iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2937 <p n=>38</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2938 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2939 Et rur$us per <G>q</G> ducatur pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2940 rallela ip$i <G>a b</G> qu&aelig; $it <G>q w
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2941 &amp; w n</G> perpendicularis ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
2942 <G>a b</G> tum &amp; <G>h k.</G> Sunt vero
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diff changeset
2943 <G>w n &amp; q z</G> &aelig;quales. Rur$us
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diff changeset
2944 <G>b n</G> e$t minor: quam <G>x z.</G> In
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diff changeset
2945 circulis enim in&aelig;qualibus
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parents:
diff changeset
2946 rect&ecedil; &ecedil;quales ad rectos dia-
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parents:
diff changeset
2947 metro excitat&aelig;, de diame-
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parents:
diff changeset
2948 tro circulorum maiorum
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parents:
diff changeset
2949 $egment&utilde; minus auferunt.
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parents:
diff changeset
2950 E$t autem <G>w n</G> &aelig;qualis ip$i
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diff changeset
2951 <G>q z.</G> In quanto vero tempo-
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parents:
diff changeset
2952 re <G>a x</G> peragrauit <G>x q,</G> in
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diff changeset
2953 t&atilde;to in maiore circulo ex-
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diff changeset
2954 tremum <G>a b</G> non maiorem
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parents:
diff changeset
2955 <G>b w</G> peragrauit (etenim
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parents:
diff changeset
2956 motus $ecundum naturam
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diff changeset
2957 &aelig;qualis e$$et) pr&aelig;ter na-
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parents:
diff changeset
2958 turam vero minor erat, nempe <G>b n</G> quam <G>x z.</G></P>
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diff changeset
2959 <head>COMMENTARIVS.</head>
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diff changeset
2960 <P>Qvod vero minor.] <I>Altera e$t confirmatio $ed</I> <G><+>ammikh\</G>
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parents:
diff changeset
2961 <I>linearis a$$umptionis $yllogi$mi pr&aelig;cedentis. Scilicet quod mi-
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parents:
diff changeset
2962 norradius plus retrahatur ad centrum, quam maior. Vbi ab vtri$que
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diff changeset
2963 $ecundum peripheriam &aelig;quale $patium confectum e$t. perpendiculis
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diff changeset
2964 enim &aelig;qualibus ip$um men$urantibus partes ab$ci$$&aelig; de diametris,
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parents:
diff changeset
2965 qu&aelig; retractionem vtriu$que ad centrum men$urant, in&aelig;quales $unt,
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diff changeset
2966 &amp; in minore circulo, maior: in maiore vero minor. vt videre lice-
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diff changeset
2967 bit in diagrammate hic de$cripto &amp; $uis rationibus nece$$ar&yuml;s con-
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diff changeset
2968 firmato.</I></P>
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parents:
diff changeset
2969 <P><I>Sint duo circuli concentrici maior</I> <G>b d e y,</G> <I>minor</I> <G>x m n c</G> <I>&egrave; 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
2970 tro a traiecti diametris</I> <G>x n &amp; b e.</G></P>
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diff changeset
2971 <P><I>A puncto</I> <G>a</G> <I>ad punctum</I> <G>q</G> <I>ducatur recta</I> <G>a q,</G> <I>&amp; producatur in</I>
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diff changeset
2972 <G>h</G> <I>$itque</I> <G>a q h.</G></P>
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diff changeset
2973 <P><I>Tum &agrave; puncto</I> <G>q</G> <I>excitetur perpendicularis line&aelig;</I> <G>a x</G> <I>prop. 12.
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diff changeset
2974 lib. 1. $itque</I> <G>q z.</G></P>
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parents:
diff changeset
2975 <p n=>39</p>
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parents:
diff changeset
2976 <P><I>Et per punctum</I> <G>q</G> <I>ducatur parallela rect&aelig;</I> <G>a b</G> <I>prop. 31. lib. 1.
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diff changeset
2977 qu&aelig; $it</I> <G>q w.</G></P>
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parents:
diff changeset
2978 <fig>
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parents:
diff changeset
2979 <P><I>Rur$us &agrave; puncto</I> <G>w</G> <I>excitetur perpendicularis line&aelig;</I> <G>a b,</G> <I>$itque</I>
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diff changeset
2980 <G>w n</G>: <I>&amp; $ic parallelogrammum erit</I> <G>w n z q</G> <I>ex def. parallelog.</I></P>
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parents:
diff changeset
2981 <P><I>Sicque</I> <G>b</G> <I>motum ad</I> <G>w</G> <I>tantum confecit $pat&yuml; $ecundum natu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2982 ram, quam</I> <G>x</G> <I>motum ad</I> <G>q.</G> <I>Spatia enim cum metiatur perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2983 laris, vtpote optima m&etilde;$ura, quia minima, &amp; $ola regularis &amp; nota.
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diff changeset
2984 Sint autem</I> <G>w n, q z</G> <I>perpendiculares ex fab. &amp; &aelig;quales, quia late-
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diff changeset
2985 ra oppo$ita in parallelogrammo</I> <G>w n z q</G> <I>prop. 34. lib. 1. Erant vtro-
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parents:
diff changeset
2986 bique $patia</I> <G>b w &amp; x q</G> <I>&aelig;qualia.</I></P>
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parents:
diff changeset
2987 <P><G>b n</G> <I>vero eadem ratione metitur $patium motus pr&aelig;ter naturam
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parents:
diff changeset
2988 ip$ius</I> <G>b, &amp; x z</G> <I>ip$ius</I> <G>x.</G> <I>$i igitur</I> <G>x z</G> (<I>quod po$tea demon$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
2989 bitur) maior $it quam</I> <G>b n,</G> <I>erit puncti</I> <G>x</G> <I>motus pr&aelig;ter naturam
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parents:
diff changeset
2990 maior in eodem $patio motus naturalis: quam puncti</I> <G>b.</G></P>
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parents:
diff changeset
2991 <p n=>40</p>
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parents:
diff changeset
2992 <P><I>Sed &amp; $i perficiantur parallelogramma</I> <G>d s t f &amp; d y r g</G>:
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parents:
diff changeset
2993 <I>illud erit vtile ad o$tendendum</I> <G>d</G> <I>tralatum vno motu v$que ad</I> <G>s,</G>
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parents:
diff changeset
2994 <I>altero motu, quo retrahitur ad centrum, reductum e$$e ad</I> <G>t</G>: <I>&amp;
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parents:
diff changeset
2995 huius retractiones men$ur&atilde; e$$e</I> <G>s t</G> <I>vel</I> <G>d f</G>: <I>hoc vero vtile eti&atilde; 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
2996 ad terminandos motus illos duos natural&etilde;, $cilicet &amp; pr&aelig;ter natur&atilde;.</I></P>
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parents:
diff changeset
2997 <P>Atque alterolongum.] <I>Hoc quadrilater&utilde; oblong&utilde;, &amp; rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
2998 gulum compleri debui$$e dici pote$t, vt rectus in eo motus appareat,
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parents:
diff changeset
2999 quem facturus radius fui$$et, ni$i retraheretur in centrum: tum vt
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parents:
diff changeset
3000 terminet motus eos, qui $unt $ecundum naturam &amp; pr&aelig;ter naturam.</I></P>
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parents:
diff changeset
3001 <P><G>a q h</G>] <I>Punct&utilde;</I> <G>q</G> <I>vbi libet in peripheria accipitur ad de$ignandum
22d6a63640c6 moved 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 quoduis $pati&utilde;, quod confecerit</I> <G>x</G> <I>extrem&utilde; mobile minoris rad&yuml;</I> <G>a x.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3003 <P>Et <G>a q</G> excitetur.] <I>A puncto</I> <G>q</G> <I>extra lineam</I> <G>a x</G> <I>dato ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3004 citatur in ip$am perpendicularis, qu&aelig; e$t</I> <G>q z</G> <I>prop. 12. lib. 1. elem.</I></P>
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parents:
diff changeset
3005 <P>Et rur$us per <G>q</G>] <I>Per punctum</I> <G>q</G> <I>datum dat&aelig; rect&aelig;</I> <G>a b</G> <I>duci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3006 tur parallela prop. 31. lib. 1. elem.</I></P>
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parents:
diff changeset
3007 <P>Et <G>w n</G> perpend.] <I>prop. 12. lib. 1. elem.</I></P>
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parents:
diff changeset
3008 <P>Sunt vero <G>w n</G> &amp;] <I>Quia</I> <G>q w</G> <I>parallela e$t ip$i</I> <G>z n</G> <I>ex fabrica:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3009 t&ugrave;m</I> <G>w n</G> <I>etiam parallela e$t ip$i</I> <G>q z,</G> <I>quia in eas incidens</I> <G>z n</G> <I>facit 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
3010 gulos internos ad ea$d&etilde; partes rectos, ex fab. proinde &aelig;quales ax. 10.
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parents:
diff changeset
3011 itaq; parallel&aelig; prop. 28. lib. 1. parallelogr&atilde;m&utilde; erit</I> <G>w n z q.</G> <I>per def. pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3012 rall. quare eius latera oppo$ita</I> <G>w n &amp; q z</G> <I>er&utilde;t &aelig;qualia prop. 34. lib. 1.</I></P>
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parents:
diff changeset
3013 <P>In circulis.] <I>Ex hoc loco elicitur hoc theorema. Perpendicula-
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parents:
diff changeset
3014 res &agrave; peripheriis in $emidiametros circulorum in&aelig;qualium &aelig;quales
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parents:
diff changeset
3015 $egmenta auferunt de $emidiametris in&aelig;qualia, &amp; quidem maius in
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parents:
diff changeset
3016 minori comprehen$um inter peripheriam &amp; perpendicularem.</I></P>
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parents:
diff changeset
3017 <P>Expo-
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parents:
diff changeset
3018 <fig>
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parents:
diff changeset
3019 $itio.</P>
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parents:
diff changeset
3020 <P><I>Sunto
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casties
parents:
diff changeset
3021 duo cir
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casties
parents:
diff changeset
3022 culi in-
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parents:
diff changeset
3023 &aelig;qua-
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parents:
diff changeset
3024 les A
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diff changeset
3025 B C ma
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diff changeset
3026 ior &amp;
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diff changeset
3027 D E F
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parents:
diff changeset
3028 minor, perpendiculares $int B K, E I &amp; ablat&aelig; A K, D I.</I></P>
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diff changeset
3029 <foot>Deter.</foot>
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diff changeset
3030 <p n=>41</p>
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diff changeset
3031 <P>Deter. <I>Dico D I e$$e maiorem ip$a A K qu&aelig; e$t $egmentum in
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diff changeset
3032 maiori circulo. Ante huius fabricam hoc problema e$t a$$um&etilde;dum.</I></P>
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diff changeset
3033 <P><I>De$cribere circulum minorem qui alterum datum maiorem
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diff changeset
3034 interius tangat.</I></P>
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diff changeset
3035 <P><I>Sit datus circulus A B K C maior, ab A per D centrum reper-
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diff changeset
3036 tum prop. 1. lib. 3. ducatur A k diameter. De$cribendus autem $it eo
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diff changeset
3037 minor, cuius accipiatur E centr&utilde;</I>
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diff changeset
3038 <fig>
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parents:
diff changeset
3039 <I>inter A &amp; D, &amp; interuallo
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diff changeset
3040 E A de$cribatur A F G. hic
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diff changeset
3041 tanget interius circulum A B k
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diff changeset
3042 C datum in puncto A. Nam $i
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3043 &amp; $ecet, vt in puncto H, ducta
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diff changeset
3044 H E. erit &aelig;qualis ip$i E A def.
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3045 15. lib. 1. non erit igitur E A mi-
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diff changeset
3046 nima omnium qu&aelig; ab E puncto
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diff changeset
3047 extra D centrum circuli A B
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diff changeset
3048 K C cadunt in eius concauam pe-
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3049 ripheriam, quod e$t contra prop.
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diff changeset
3050 7. lib. 3. non erat igitur H punctum commune vtrique circulo, &amp;
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diff changeset
3051 $ic de al&yuml;s. Circulus igitur A F G, tangit circulum A B K 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
3052 in puncto A prop. 11. lib. 3. quod oportuit facere.</I></P>
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diff changeset
3053 <P><I>Iam nunc de A G maiori $emidiametro detrahatur portio A H
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diff changeset
3054 &aelig;qualis D H minori prop. 3. lib. 1. centro H interuallo A H de$-
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diff changeset
3055 cribatur circulus A M L po$tul. 3. qui erit &aelig;qualis dato D E F.
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diff changeset
3056 def. 1. lib. 3. Et tanget intus circulum A B C in puncto A exprobl.
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diff changeset
3057 pr&aelig;$umpto. per punctum B ducaeur parallela B M prop. 31. lib. 1.
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diff changeset
3058 &amp; per eandem parallela M N qu&aelig; per 34. lib. eiu$dem cum $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3059 &aelig;qualis ip$i B K erit &amp; &aelig;qualis ip$i. E I ax. 1. connectantur M H,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3060 E H po$t. 1.</I></P>
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diff changeset
3061 <P>Demon$t. <I>Po$tquam ax. 3. A N, D I &aelig;quales $unt quia reli-
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diff changeset
3062 qu&aelig; ex &aelig;qualibus A H, D H ex fab. demptis &aelig;qualibus N H,
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parents:
diff changeset
3063 I H qu&aelig; latera $unt $ub &aelig;qualibus angulis duorum triangulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3064 M N H &amp; I E H habentium duos angulos duobus angulis
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diff changeset
3065 &aelig;quales, &amp; latus lateri &aelig;quale vt e$t in 26. prop. lib. 1. nempe angu-
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
3066 lus qui ad N rectus e$t prop. 29. lib. 1. &amp; qui ad I, rectus ex hypoth.
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diff changeset
3067 ideo &aelig;quales ax. 10. tum angulus M H N ad centrum con$titutus</I>
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diff changeset
3068 <foot>F</foot>
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3069 <p n=>42</p>
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
3070 <I>&amp; angulus E H I ad centrum con$titutus in &aelig;qualibus circulis ex
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diff changeset
3071 fab. $unt &aelig;quales prop. 27. lib. 3. quia &aelig;quales $unt peripheri&aelig; A 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
3072 D E ablat&aelig; $cilicet ab &aelig;qualibus $emi&szlig;ibus M N &amp; E I ex
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
3073 fab. prop. 3. &amp; 29. lib. 3. &amp; $icreliquum latus N H &aelig;quale e$t re-
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parents:
diff changeset
3074 liquo I H. Ergo cum tota A N &aelig;qualis D I $it maior A K
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parents:
diff changeset
3075 parte $ua ax. 9. erit &amp; D I maior ip$a A K.</I></P>
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diff changeset
3076 <P>Concl. <I>Ergo perpendiculares &agrave; peripher&yuml;s in $emidiametros &amp;
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parents:
diff changeset
3077 ct. quod fuit demon$trandum. Hoc autem theorema videtur quo-
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parents:
diff changeset
3078 d&atilde;modo</I> <G><+>a/doxon.</G> <I>Erat enim veri$imilius in maiore circulo $eg-
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parents:
diff changeset
3079 ment&utilde; $emidiametri e$$e maius, &amp; in minore minus: at non ita e$t vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3080 patuit. Cau$a autem h&aelig;c reddi pote$t, quod eadem recta, $i fiat arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3081 minoris circuli plus incuruetur oportet: quam $i fiat arcus maioris,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3082 atque his omnibus eo tendit Ari$toteles, vt o$tendat maiorem circu-
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parents:
diff changeset
3083 lum mobiliorem, &amp; ideo etiam mouentiorem e$$e minori: 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
3084 autem mobilitatum e$$e, vt $emidiametrorum.</I></P>
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parents:
diff changeset
3085 <P>In quanto vero.] <I>Conclu$io e$t qua concluditur, vbi motus
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parents:
diff changeset
3086 $ecundum naturam in vtri$que circulis &aelig;quales e$$ent: ibi motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3087 pr&aelig;ter naturam in maiori circulo minorem, &amp; in minori maiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3088 reperiri. Antea dixerat duas lationes illas e$$e in nulla ratione, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3089 tellige igitur qu&aelig; rectis lineis exact&egrave; exprimi po&szlig;it. Nam $inus tam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3090 rectus quam ver$us, quibus rationis harum lationum termini expri-
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parents:
diff changeset
3091 muntur, vt $int rect&aelig; line&aelig;: h&aelig; tamen non ad vnguem arcus $uos
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parents:
diff changeset
3092 metiuntur. Et $ic in nulla $unt ratione ad vnguem expre$$a: $unt ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3093 men vt hic quodammodo, &amp; vt aiunt fer&egrave;.</I></P>
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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3094 <P><+></P>
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parents:
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3095 <P>At oportet analoga e$$e,
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parents:
diff changeset
3096 vt id quod $ecund&utilde; natur&atilde;,
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diff changeset
3097 ad id quod $ec&utilde;dum natu-
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parents:
diff changeset
3098 ram: $ic quod pr&aelig;ter natu-
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diff changeset
3099 ram, ad id quod pr&aelig;ter na-
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parents:
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3100 tur&atilde;. Igitur maiorem quam
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parents:
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3101 <G>b w</G> peripheri&atilde;, vt <G>b h</G> per-
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parents:
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3102 tr&atilde;$ijt. Nece$$e igitur in eo
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3103 tempore <G>b h</G> tran$ij$$e. Ibi
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3104 enim erit, vbi proportiona-
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parents:
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3105 les c&otilde;ting&etilde;t vtrinq; motus
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3106 <p n=>43</p>
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casties
parents:
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3107 <+>
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parents:
diff changeset
3108 pr&aelig;ter naturam ad motus
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parents:
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3109 $ecundum naturam. Si igi-
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parents:
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3110 tur maius e$t id quod $ec&utilde;-
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3111 dum natur&atilde; in maiore cir-
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parents:
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3112 culo, &amp; quod e$t pr&ecedil;ter na-
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parents:
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3113 turam maius, vtique illuc
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3114 concidet vno modo, ita vt
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3115 <G>b</G> $it latum per lineam <G>b h.</G>
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3116 eo in tempore quo p&utilde;ctum
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diff changeset
3117 <G>x</G> [per <G>x q</G>]. Ibi enim pun-
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3118 cto <G>b</G> $ecundum quid&etilde; na-
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diff changeset
3119 turam e$t recta <G>k h,</G> ab <G>h</G>
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diff changeset
3120 enim e$t ip$a perpendicu-
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3121 laris, pr&aelig;ter naturam vero
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3122 <G>b k.</G> E$t $iquidem vt <G>h k</G> ad
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3123 <G><+> k</G>: $ic <G>q z</G> ad <G>x z,</G> quod
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3124 erit manife$tum, $i &agrave; pun-
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diff changeset
3125 ctis <G>b, x</G> ad <G>h, q</G> rect&aelig; adiun-
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diff changeset
3126 ct&aelig; $int. Si vero minor vel
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3127 maior: quam <G>h b</G> fuerit ea,
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diff changeset
3128 perquam <G>b</G> motum e$t, non
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3129 $imiliter neque proportio-
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3130 naliter in vtri$q; erit, quod
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3131 <marg>Vetba $i-
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3132 gnis inclu$a
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3133 in c&otilde;textu
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3134 Gr&ecedil;co quia
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3135 redundant
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3136 non verti-
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3137 mus.</marg>
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3138 $ecundum naturam ad id
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3139 quod pr&aelig;ter naturam. Ob
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3140 h&atilde;c igitur cau$am ex dictis
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3141 manife$tum, quod punctum &agrave; centro di$tantius, vt ea-
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diff changeset
3142 dem vi $it motum, celerius fertur.</P>
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3143 <head>COMMENTARIVS.</head>
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3144 <P>At oportet.] <I>Nunc o$tendit in maiore circulo motum $ecun-
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3145 dum naturam maiorem e$$e motu $ecundum naturam in mino-
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3146 re circulo eodem tempore factum. Ratio e$t, Circuli in&aelig;quales eadem
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diff changeset
3147 vi moti $eruant analogiam in motibus $cilicet: vt qu&aelig; ratio $it mo-
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diff changeset
3148 tus in maiore circulo $ecundum naturam ad $uum motum pr&aelig;ter na-</I>
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diff changeset
3149 <foot>F ij</foot>
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diff changeset
3150 <p n=>44</p>
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3151 <I>turam: eadem $it motus in minore circulo $ecundum naturam ad
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diff changeset
3152 $uum motum pr&aelig;ter naturam: at h&aelig;c analogia tantum reperiri po-
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diff changeset
3153 te$t, $i cum</I> <G>x</G> <I>delatum e$t in</I> <G>q,</G> <I>intelligatur etiam</I> <G>b</G> <I>delatum in</I> <G>h,</G>
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3154 <I>&agrave; quo</I> <G>h</G> <I>e$t perpendicularis</I> <G>h k</G> <I>in diametrum</I> <G>a b</G> <I>metiens motum
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diff changeset
3155 ip$ius</I> <G>b</G> <I>per peripheriam</I> <G>b h.</G> <I>Ergo quo tempore</I> <G>x</G> <I>delatum e$t ad</I>
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diff changeset
3156 <G>q,</G> <I>eodem</I> <G>b</G> <I>delatum erit ad</I> <G>h.</G> <I>C&aelig;terum eadem vis in vtri$que cir-
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3157 culis intelligitur ex &aelig;qualitate angulorum ad centrum con$tituto-
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diff changeset
3158 rum. &AElig;qualis enim e$t angulus</I> <G><+> a h</G> <I>angulo</I> <G>x a q.</G></P>
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3159 <P>Ab <G>h</G> enim e$t.] <I>Curuas lineas perpendicularis $ola vt breui$-
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3160 $ima, quantum fieri pote$t exacte metitur. vt $cribit autem Ptolo-
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diff changeset
3161 m&aelig;us in lib. de Analemmate, &amp; Simplicius in lib. de Dimen$ione,
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diff changeset
3162 men$ura cuiu$cunque rei debet e$$e $tata, determinata, &amp; non indefi-
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3163 nita. Talis autem e$t perpendicularis ad linearum reliquarum dimen-
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parents:
diff changeset
3164 $ionem.</I></P>
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3165 <P>E$t $iquidem vt <G>h k.</G>] <I>Triangula enim</I> <G>x q z &amp; b h k</G> <I>$unt
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3166 &aelig;quiangula. Nam, qui anguli ad</I> <G><+> &amp; k,</G> <I>$unt recti ex fab. qui vero
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3167 ad</I> <G>x &amp; b</G> <I>$unt externus &amp; internus ad ea$dem partes facti &agrave; re-
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diff changeset
3168 cta</I> <G>a b</G> <I>incidente in parallelas</I> <G>x q, b h</G> <I>prop. 3. lib. 6. Nam</I> <G>x q</G>
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3169 <I>proportionaliter $ecat</I> <G>a b &amp; a h</G> <I>latera trianguli</I> <G>b a h.</G> <I>Sunt enim</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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3170 <G>a x, a q</G> <I>&aelig;quales radj,</I> &amp; <G>x b, q h</G> <I>item &aelig;quales line&aelig;, quia re-
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3171 liqu&aelig; ex &aelig;qualibus rad&yuml;s</I> <G>a b, a h</G>: <I>habent autem &aelig;quales ad
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3172 &aelig;quales eandem rationem E$t igitur</I> <G>x q</G> <I>parallela ba$i</I> <G>b h,</G> <I>&amp; $ic
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3173 anguli qui ad</I> <G>x</G> <I>externus, &amp; qui ad</I> <G>b</G> <I>internus erunt &aelig;quales
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3174 prop. 29. lib. 1. Ergo &amp; reliqui qui ad</I> <G>q &amp; h</G> <I>prop. 32. lib. 1. H&aelig;c
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parents:
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3175 igitur duo triangula circa &aelig;quales angulos habebunt latera propor-
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3176 tionalia prop. 4. lib. 6. Sicque erit vt</I> <G>q z</G> <I>ad</I> <G>x z</G>: <I>$ic</I> <G>h k</G> <I>ad</I> <G>k b,</G>
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3177 <I>&amp; alternatim vt</I> <G>q z</G> <I>ad</I> <G>h k</G><I>: $ic</I> <G>x z</G> <I>ad</I> <G>k b</G> <I>prop. 16. lib. 5.</I></P>
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3178 <P>Ob hanc igitur cau$am.] <I>Conclu$io qua tandem concludi-
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3179 tur punctum &agrave; centro di$tantius, vt eadem vi $it motum, celerius
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3180 ferri, id e$t eodem tempore maius loci $patium conficere.</I></P>
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3181 <P><+></P>
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parents:
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3182 <P>Quod vero propterea li-
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parents:
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3183 br&ecedil; maiores minoribus $int
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parents:
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3184 exactiores, manife$t&utilde; ex his
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3185 erit. Agina enim fit centr&utilde;.
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3186 H&aelig;c enim quie$cit. vtr&aelig;q;
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3187 <p n=>45</p>
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3188 <+>
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3189 vero librilis partes line&aelig;
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3190 $unt ex centro. Ab eodem
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3191 igitur pondere nece$$e e$t
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3192 e&ograve; celerius extremum li-
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3193 brilis ferri, qu&ograve; plus ab agi-
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3194 na di$titerit, &amp; nonnulla in
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3195 paruis libris pondera im-
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3196 po$ita non manife$ta $en-
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3197 $ui e$$e, qu&aelig; in magnis ma-
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3198 nife$ta erunt. Nihil enim
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3199 prohibet minor&etilde; permea-
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3200 ri magnitudinem: quam vt
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3201 vi$ui $it manife$ta.</P>
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3202 <head>COMMENTARIVS.</head>
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diff changeset
3203 <P>Qvod vero propterea libr&aelig;.] <G><+>u<+>s</G> <I>vel</I> <G><+>u<+>n</G> <I>pr&aelig;ter iu-
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 gum, remigum $edes, &amp; tran$tra curruum &amp; nauium $ignifi-
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diff changeset
3205 cat etiam libram &amp; $tateram, hinc illud Pythagor&aelig;</I> <G>mh\zu<+>n u(per-
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diff changeset
3206 <+>a/inein</G> <I>$tateram ne tran$grediaris &amp; vt annotat Bud&aelig;us</I> <G>zu<+>a/-
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diff changeset
3207 tai</G> <I>$unt libripendes per vrbes con$tituti, qui p&otilde;deribus pr&aelig;fecti ap-
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diff changeset
3208 pellantur, vnde Zygo$tatica fides pro plena &amp; examinata &aelig;quitate
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diff changeset
3209 &agrave; Zygo quod e$t libra publice temperata &amp; con$tituta, vt quemad-
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diff changeset
3210 modum ait Vitruuius, vindicet ab iniquitate iu$tis moribus vitam.</I>
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diff changeset
3211 <marg>Initio
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diff changeset
3212 cap. 11.
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diff changeset
3213 Prouerb.</marg>
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diff changeset
3214 <I>Statera enim dolo$a, vt dixit Sapiens, abhominatio e$t apud Deum,
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diff changeset
3215 &amp; pondus &aelig;quum voluntas eius.</I></P>
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parents:
diff changeset
3216 <P>Agina fit cen-
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diff changeset
3217 <fig>
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parents:
diff changeset
3218 tr&utilde;.] <I>Tand&etilde; Ari-
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diff changeset
3219 $toteles acc&otilde;modat
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parents:
diff changeset
3220 problema propo$it&utilde;
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parents:
diff changeset
3221 de libra ad circuli
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parents:
diff changeset
3222 proprietat&etilde; vltim&ograve;
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parents:
diff changeset
3223 demon$trat&atilde;. 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
3224 vt intelligaturprius
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parents:
diff changeset
3225 in libra A D B C
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parents:
diff changeset
3226 H I partes notan-
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parents:
diff changeset
3227 d&aelig; $unt. Sit 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
3228 libr&aelig; librile, $eu</I>
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parents:
diff changeset
3229 <foot>F iij</foot>
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parents:
diff changeset
3230 <p n=>46</p>
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parents:
diff changeset
3231 <I>$capus $eu iugum A B, &amp; C D trutina, $eu an$a, qu&aelig; pro 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
3232 muni more $emper e$t perpendicularis ad horizontis planum: pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3233 ctum vero C e$t agina,</I> <G><+>ar/tion</G> <I>vocatur ab Ari$totele, &amp; e$t cen-
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parents:
diff changeset
3234 trum libr&aelig; circa quod brachia C A, C B moueri intelliguntur
22d6a63640c6 moved 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 pro ponderibus impo$itis in H vel I lancibus, quas</I> <G>pla/<+>as</G> <I>Ari-
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parents:
diff changeset
3236 $toteles appellabit, quo etiam nomine appellat librile, $eu $capum, $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
3237 iugum A B. E$t etiam recta E C F $emper perpendicularis ip$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
3238 A B vtcunque moueatur. proinde perpendiculum appellatur, 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
3239 al&yuml;s &aelig;quamentum, ab al&yuml;s trutina. His ita declaratis, ilico ex 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
3240 cedentibus con$tat, quod C centro fixo, $i A C vel C B line&aelig; 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
3241 ex centro, moueantur, de$cribent circulum pro $uo interuallo, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3242 minore librili, minorem: in maiore maiorem: $icque cum magnitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3243 $pat&yuml; motu tran$iti, qu&ograve; maior, e&ograve; vi$ibilior, &amp; qu&ograve; etiam librilis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3244 pars maior, e&ograve; mobilior, citius ex &aelig;quali pondere, &amp; magis mouebitur
22d6a63640c6 moved 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 librile maius: qu&atilde; minus, proinde etiam erit exactius. id e$t minores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3246 ponderum differentias patefaciet.</I></P>
22d6a63640c6 moved 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 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3248 <P>In magno aut&etilde; librili 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
3249 p&otilde;dus magnitudin&etilde; reddet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3250 a$pectabil&etilde;. Nonnulla vero
22d6a63640c6 moved 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 in vtri$q; manife$ta s&utilde;t: $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
3252 multo magis in maioribus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3253 quia in maioribus ab eod&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
3254 p&otilde;dere multo maior fit 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
3255 clinationis magnitudo. Ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3256 id purpur&aelig; venditores, 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
3257 pend&etilde;do defraud&etilde;t, a$tut&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
3258 faciunt, qui aginam non 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
3259 medio collocant, &amp; plum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3260 bum in altera librilis parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3261 illinunt, vel &egrave;ligno quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3262 ad radic&etilde; vergebat, faci&utilde;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
3263 quo inclinare de$ider&atilde;t, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3264 $i no d&utilde; habuerit. Ligni en&itilde;
22d6a63640c6 moved 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 grauior e$t illa pars, vbi ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3266 dix, E$t vero nodus qu&aelig;-
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parents:
diff changeset
3267 dam radix.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3268 <p n=>47</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3269 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3270 <P>In magno autem.] <I>Ex his colligitur fieri po$$e libram, 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
3271 examinabit granum vnum, immo grani $ecundam, tertiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3272 quartam partem. Quod e$t aliquando nece$$arium cum in pretio$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3273 rebus, vt ambra gri$ea, mo$cho, auro: tum in medicamentis potenti$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3274 $imis, vt elleboro, $cammonio, opio. Huius autem libr&aelig; fabrica pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3275 det &egrave; quatuor. Primum e$t longitudo librilis. Secundum e$t illius &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3276 lancium materi&aelig; $umma leuitas. Nam tanto maior redditur ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3277 ponderis exigui. Tertium e$t librilis firmitas, &amp; rectitudo, ideo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3278 bet fieri ex chalybe purgato, durato, tenui&szlig;imo, naturaque leui.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3279 Quartum e$t trutin&aelig; po$itio in exqui$it&egrave; medio librilis mobilis.</I></P>
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casties
parents:
diff changeset
3280 <P>Ob id purpur&aelig;.] <I>Alia e$t ratio qua rur$us confirmatur libri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3281 le maius e$$e exactius. Ducitur ex effectu eorum qui fraudare vol&utilde;t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3282 emptores. Imponunt enim pondus rei vendit&aelig; leuius &aelig;quipondio</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3283 (<G>sfai/rwma</G> <I>po$tea vocabitur) in librilis brachio longiore: $icque,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3284 vel &aelig;quiponderat vel etiam pr&aelig;ponderat: &amp; ita paucum pro multo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3285 vendunt. Nec tamen vacua libra ponderibus, iniqua videtur. quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3286 pars librilis altera, vt &aelig;quiponderet: plumbum habebit illitum, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3287 etiam ex ligno erit duriore &amp; nodo$iore, $icque den$iore, &amp; ideo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3288 grauiore. Vel pars librilis longior erit tenuior, vel perforata in ali-
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casties
parents:
diff changeset
3289 quot locis exiguis foraminibus. Vnde vnius grauitas l&otilde;gitudinis al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3290 terius rationem compen$at. Cardanus docuit libr&aelig; metallic&aelig; fabri-</I>
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casties
parents:
diff changeset
3291 <marg>Lib. 1. de
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casties
parents:
diff changeset
3292 $ubt,</marg>
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diff changeset
3293 <I>cam, qu&aelig; pro deunce exhibeat a$$em, licet vacua in$ta videatur. H&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
3294 autem &agrave; me h&icirc;c ita recitantur, non vt quis abutatur. Abhominatio</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
3295 <marg>Prouerb. c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3296 10.</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
3297 <I>enime$t apud Deum, vt iterum ait $apiens, pondus &amp; pondus, &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
3298 $tatera dolo$a non e$t bona: $ed vt &agrave; callidis i$tis mercatoribus $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
3299 pr&aelig;caueat emptor. Fraudem autem i$tam deteget, $i pondus &amp; &aelig;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
3300 pondium tran$mutentur de lance in lancem. Quod enim ante &aelig;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
3301 ponderabat, tran$latum in alteram lancem no <*>amplius &aelig;quiponde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3302 rabit duplici de cau$a, &amp; quod &aelig;quipondium grauius $it, &amp; 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
3303 librilis in parte maiore $it.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3304 <P>Purpur&aelig; venditores.] <G>a(lour<+>pw/lom</G> <I>dicuntur quia</I> <G>a(/lour-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3305 gon</G> <I>purpura e$t</I> <G><+>po\ tou_ a(/ls kai\ e)/r<+>n</G> <I>&agrave; maris opere. quia purpura &egrave;</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
3306 <marg>Lib. 9. cap.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3307 36.</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
3308 <I>concha marina colligitur. E$t aut&etilde;, vt author e$t Plinius, ille magni</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
3309 <p n=>48</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3310 <I>pret&yuml; flos tingendis regum ve$tibus expetitus. Hunc in med&yuml;s fau-
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
3311 cibus conch&aelig; gerunt, candida quadam vena conclu$um colore 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
3312 gricantis ro$&aelig; pellucidum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3313 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3314 <P>3. Propter quid, $i in $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3315 riore librilis parte 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
3316 agina, qu&atilde;do p&otilde;dus, 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
3317 quod depre$$erit, 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
3318 librile referatur: At $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
3319 inferiore, non refertur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3320 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3321 <P>Propter quid $i in $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3322 riore librilis parte fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3323 agina, cum pr&aelig; p&otilde;dere de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3324 mi$s&utilde; e$t, hoc $ublato rur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3325 $us redit: Sed $i in inferiore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3326 fuorit, n&otilde; redit, $ed manet?
22d6a63640c6 moved 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 an quia $uperne exi$tente
22d6a63640c6 moved 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 agina, librilis plus erit 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
3329 tra perpendicularem. 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
3330 enim trutina 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
3331 laris. Itaq; nece$$e e$t, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3332 plus e$t deor$um vergere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3333 incumbente p&otilde;dere in par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3334 te librilis $ur$um rapta, do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3335 nec venerit e&ograve;, vbi ad per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3336 pendicularem ip$am librile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3337 bifariam diuiditur. E$to li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3338 brile rectum <G>b y,</G> trutina <G>a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3339 d</G>: at hoc deor$um demi$$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
3340 $it perpendicularis <G>a d m.</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3341 Si igitur pondus impona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3342 tur in lance <G>b,</G> erit <G>b</G> vbi <G>e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3343 &amp; g</G> vbi <G>z.</G> Itaque recta bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3344 fariam diuidens librile, pri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3345 m&ugrave;m quidem erat <G>a d m,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3346 ip$a perp&etilde;dicularis exi$t&etilde;s:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3347 <foot>At cum</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3348 <p n=>49</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3349 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3350 At cum pondus impo$itum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3351 e$t, e$t <G>f p.</G> Itaque librilis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3352 <G>e c</G> id quod e$t extra per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3353 pendicularem <G>a m</G> in ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3354 qu&aelig; e$t <G>f p</G> plus e$t: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3355 dimidium. Si igitur 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
3356 dus, quod erat in <G>e</G> tolla-
22d6a63640c6 moved 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 tur, nece$$e e$t <G>z</G> deor$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3358 ferri. E$t enim <G>e</G> minus: $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
3359 igitur in $uperiori parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3360 fuerit agina, rur$us ob id li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3361 brile refertur: $i vero in 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
3362 feriori parte $ubijciatur a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3363 gina, contra euenit. Pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3364 enim maior dimidia libri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3365 lis e$t id, quod infra e$t, &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
3366 quod &agrave; perpendiculari $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3367 catur. Ideo non refertur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3368 Leuior enim e$t pars $ur-
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parents:
diff changeset
3369 $um lata. E$to librile <G>n c</G> 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
3370 ctum, perpendicularis vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3371 <G>k l m,</G> qu&aelig; bifariam diui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3372 dat <G>n c,</G> &amp; impo$ito pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3373 dere in <G>n,</G> $it <G>n</G> vbi e$t <G>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
3374 x</G> vbi e$t <G>r, &amp; k l</G> vbi <G>l q.</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
3375 Itaque maior erit <G>l o</G> quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3376 <G>l r</G> ip$o <G>x l q.</G> Igitur $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3377 blato pondere nece$$e 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
3378 manere. Incumbit enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3379 ceu pondus exce$$us medietatis, qui e$t in <G>l o.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3380 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3381 <P>Propter quid.] <I>In hoc capite proponitur aliud di$cutiendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3382 problema de libra. De qua qu&aelig;runtur duo. Primum cur $i cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3383 trum libr&aelig; $it in $uperiori parte librilis $itum, cum pondere impo$ito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3384 deor$um venerit librilis vna pars, altera $ur$um, eodem $ublato, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3385 librili libero relicto brachia librilis redeant ad pri$tinum locum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3386 <foot>G</foot>
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casties
parents:
diff changeset
3387 <p n=>50</p>
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casties
parents:
diff changeset
3388 <I>Secundum, cur $i centrum eius $it in inferiori parte librilis $itum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3389 &amp; pondere impo$ito, parteque librilis vna deor$um demi$$a, eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3390 $ublato librile liberum relictum non redeat: $ed in eo $itu maneat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3391 Tertium adiungitur &agrave; Guido V baldo (&egrave; quo qu&aelig; h&icirc;c dicemus omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3392 fer&egrave; depromp $imus) non minus qu&aelig;$itu dignum. Cur $i centrum $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3393 exqui$ite librilis medium, librile retinebit $itum quemlibet datum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3394 Qu&aelig; vt intelligantur $cire conuenit vel libram hic capi, cuius librile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3395 latitudinem aliquam effatu dignam habet, vel cum quo trutina ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3396 connexa e$t, vt ad vnius motum moueatur alterum, &amp; contra: quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3397 totum continuum e$t. In extremo autem trutin&aelig;, non eo quidem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3398 quod e$t ei cum librili c&otilde;-</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
3399 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3400 <I>mune: $ed altero, c&etilde;trum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3401 circa quod tanqu&atilde; fix&utilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3402 ip$a moueantur, $it&utilde; $it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3403 Sine horum enim altero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3404 modo intelligi n&otilde; pote$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3405 quomodo librile, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3406 $ecundum longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3407 e$t, vt vna recta 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
3408 nea, admittat dif-</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
3409 <fig>
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casties
parents:
diff changeset
3410 <I>ferentias illas loci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3411 $urs&utilde; deor$um. At
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3412 $iue hoc: $iue illo
22d6a63640c6 moved 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 modo librile con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3414 $tituaturproblema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3415 h&icirc;c ab Ari$totele
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3416 po$it&utilde; habebit 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
3417 $olum experienti&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
3418 $ed &amp; rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3419 $ibi $uffragantem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3420 Exemplum igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3421 librilis primi mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3422 di c&utilde; latitudine $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
3423 A B, cuius centr&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
3424 in $uperiori parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3425 latitudinis $it C,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3426 <p n=>51</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3427 <I>cum $uo $u$pen$orio $eu trutina C D: vel $it &amp; in inferiori parte C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3428 centrum cum $uo fulcro quod pro trutina e$t etiam C D, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3429 in vtroque 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
3430 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3431 <I>telligatur linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3432 recta per cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3433 trum tran$ire
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3434 perpendiculari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3435 ter ad planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3436 horiz&otilde;tis D E.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3437 <P><I>Exemplum 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
3438 brilis c&utilde; truti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3439 na immobiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3440 connexi $it vbi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3441 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3442 <I>e$t librile GH,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3443 &amp; trutina K
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3444 L, &amp; centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3445 libr&aelig; L.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3446 <P>An quia $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3447 perne.] <I>In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3448 tellectis libr&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3449 generibus ad propo$itum problema accommodatis, nunc eius partis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3450 prioris adfertur $olutio. quia in vtroque genere librilis cum centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3451 libr&aelig; $upernam partem occupat, &amp; &agrave; perpendiculari intellecta per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3452 admotum pondus librile &agrave; paralleli$mo cum horizonte di$ce$$erit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3453 pars qu&aelig; $uperior fit, maior e$t parte inferiore. Maior autem grauior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3454 e$t. Totum enim librile $upponitur e$$e materi&aelig; vnigeneris. Redit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3455 igitur libera relicta, $itumquerecuperat, vbi paria momenta &aelig;qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3456 ponder&atilde;t. Talis aut&etilde; e$t is $itus in quo llbrile parallel&utilde; fit horizonti.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3457 Contra $i centrum infernam partem occupet, pars inferior librilis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3458 maior e$t. pr&aelig;ponderat igitur. Non itaque per $eredibit: $ed $itum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3459 detracta decliuem retinebit: alias id graue, quo excedit, $ur$um $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3460 $ponte a$cenderet, contra def. grauis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3461 <P>Itaque librilis <G>e z.</G>] <I>Quod pars $uperior librilis in vno $itu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3462 centri $it maior, in altero $it minor, non e$t probatum ab Ari$totele:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3463 $ed ex fabrica librilis vtriu$que generis res ilico fit euidens, etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3464 pro Ari$totelis characteribus no$tris ad diagrammata adiunctis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3465 <foot>G ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3466 <p n=>52</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3467 <I>Nam in librili primi modi cum obliquatur C F perpendiculum li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3468 brilis, quod ip$um perpetu&ograve; bifariam $ecat, digreditur &agrave; perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3469 lari intellecta, quam $ecat</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3470 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3471 <I>in centro, $icque triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3472 lum con$tituit comprehen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3473 dens aliquam partem al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3474 terutrius brach&yuml; nempe F
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3475 C E, vel R C F, qu&aelig; $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3476 detracta vni, &amp; alteri ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3477 dita, reddit hoc &agrave; quo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3478 trahitur minus, &amp; eius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3479 detract&aelig; partis duplo alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3480 rum brachi&utilde; maius. At-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3481 que hic modus conuenit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3482 $en$ui Ari$totelis, vt qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3483 eo v$urus $it capite $equen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3484 ti in problemate de vecte.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3485 Et etiam pulchr&egrave; re$pon-</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
3486 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3487 <I>det cau$&aelig; iam dict&aelig; 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
3488 proprietate circuli, quate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3489 nus eius rad&yuml; breuiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3490 $unt aut longiores, &amp; pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3491 pter i$tam in&aelig;qualitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3492 tardiores aut velociores.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3493 <P><I>In librili vero $ecundi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3494 modi res erit adhuc 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
3495 tior. Centro $iquidem L,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3496 &amp; interuallo L K circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3497 lus de$cribatur, &amp; K
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3498 mot&utilde; $it in P propter vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3499 allatam: tum L K 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
3500 pendicularis intellecta pro-
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parents:
diff changeset
3501 ducta $ecabit brachium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3502 P H, id e$t K H, vt in
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parents:
diff changeset
3503 M: $icque P M accre$cet pro longitudine ideo &amp; grauitate 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
3504 P G, redibit igitur G P M.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3505 <p n=>53</p>
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parents:
diff changeset
3506 <fig>
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parents:
diff changeset
3507 <P><I>Contra in alte-
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parents:
diff changeset
3508 ro diagrammate
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parents:
diff changeset
3509 eiu$modi $ectio
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parents:
diff changeset
3510 fiet, vt in O, &amp;
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parents:
diff changeset
3511 $ic pars O P ac-
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casties
parents:
diff changeset
3512 cre$cet ad P H:
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parents:
diff changeset
3513 $icque tota O P
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casties
parents:
diff changeset
3514 H vt longior, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3515 grauior O G.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3516 Manebit igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3517 (pr&aelig;$uppo$ito hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3518 quod ab H app&etilde;$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
3519 <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
3520 <I>lanx in$ideat ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3521 r&aelig; vel alicui ful-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3522 cro. Sed &amp; in li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3523 brilibus huius ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3524 neris reditus &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3525 non reditus alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3526 eti&atilde; cau$a e$t, $ci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3527 licet quia null&utilde; c&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3528 tr&utilde; grauitatis ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3529 net ni$i $u$tinea-
22d6a63640c6 moved 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 tur &agrave; linea 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
3531 p&etilde;diculari ad pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3532 num horizontis. quod e$t demon$tratum ab V baldo prop. 1. lib. de lib.
22d6a63640c6 moved 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 Atque P e$t centrum grauitatis magnitudinis compo$it&aelig; &egrave; duobus
22d6a63640c6 moved 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 brach&yuml;s librilis G H, &amp; lancibus ponderibu$que vtrimque &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
3535 ponderantibus, $i intelligantur admota, vt patet ex prop. 4. lib. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3536 Archimed. de &aelig;quipond. L K vero linea e$t perpendicularis ad pla-
22d6a63640c6 moved 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 num horizontis. Non igitur P liberum relictum manebit ita vt e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3538 G P M H: Sed &amp; redibit ex natura grauium quou$que occupe<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3539 punctum k in perpendiculari horizontis, &agrave; qua quia per extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3540 mum L fixa e$t, $u$tinebitur. At G O P H manebit $ic, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3541 redibit ad G k H, quia, quod e$$et contra naturam, a$cenderet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3542 Vbiautem centrum librilis e$t exqui$it&egrave; medium, vt C ip$ius A B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3543 cum trutina C D mobili, $eu $upra, $eu infra po$ita $it, quocunqu<*></I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3544 <foot>G iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3545 <p n=>54</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3546 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3547 <I>in $itu fuerit A B vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3548 in G H manebit, tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3549 quia brachia manent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3550 &aelig;qualia, tum quia cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3551 trum grauitatis C $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3552 per erit in perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3553 lari horizontis, $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3554 dum quam &amp; ad quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3555 magnitudo compo$ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3556 exbrach&yuml;s C A, C B &amp; lancibus &amp; ponderibus &aelig;quiponderan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3557 tibus, $i impo$ita $int, fertur, $ed $u$tinetur linea C D vel C E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3558 fixa. Et $ic patet $olutio terti&aelig; partis huius problematis ab Ari$totele
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3559 pr&aelig;termi$$&aelig;. Rar&ograve; tamen huic demon$trationi licet ver&aelig;, experien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3560 tia re$pondet, propter in$trumentorum materiam Phy$icam, in qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3561 exacte medium con$tituere non datur in puncto geometrico, vtcum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3562 que tamen alias re$pondet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3563 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3564 <P>4. Potenti&aelig; vectis cau$a.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3565 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3566 <marg>Videtur hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3567 aliquid de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3568 e$$e &amp; fort&egrave;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3569 <I>Radius au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3570 tem minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3571 tardius.</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
3572 <P>Cur vires exigu&aelig; vecte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3573 magna mou&etilde;t onera, vt 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
3574 in principio dict&utilde; in$uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3575 adiici&etilde;do vectis ip$i^{9} onus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3576 Facilius enim e$t min^{9} mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3577 uere onus: minus vero 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
3578 ab$que vecte. An quia ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3579 ctis cau$a e$t, qui &amp; in$tar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3580 libr&aelig; deor$um habet agi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3581 n&atilde;, &amp; in in&aelig;qualia diui$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3582 e$t? E$t enim pre$$io pro
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3583 agina. amb&aelig; enim $tant vt
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3584 centrum. Quoniam vero
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3585 celerius ab &aelig;quali ponde-
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diff changeset
3586 re mouetur radius maior.
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3587 <p n=>55</p>
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diff changeset
3588 <+>
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diff changeset
3589 Sunt vero tria circa|, vect&etilde;
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diff changeset
3590 pre$$io quidem e$t &verbar;agina &amp;
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diff changeset
3591 centr&utilde;, duo etiam pondera
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diff changeset
3592 mouens $cilicet, &amp; mobile.</P>
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diff changeset
3593 <head>COMMENTARIVS.</head>
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3594 <P>Potenti&aelig; vectis cau$a.] <I>Vectis definitus e$t &agrave; Bud&aelig;o bacu-
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diff changeset
3595 <marg>Annot. in
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diff changeset
3596 Pandectas.</marg>
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diff changeset
3597 lus validus per mediam machinam traiectus, quo manuducto
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diff changeset
3598 machina, dum ver$atur, funem ductarium aduoluit. H&aelig;c definitio
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diff changeset
3599 nimi&utilde; angu$ta e$t, neque huic loco c&otilde;uenit, neque $atis rei ip$i. vectis
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diff changeset
3600 enim per $e machina e$t. E$tigitur vectis palus oblongior vno $uor&utilde;
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diff changeset
3601 extremorum acutus, altero obtu$us ex ligno vel ferro inflexibi-
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diff changeset
3602 lis ad commou&etilde;-</I>
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3603 <fig>
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diff changeset
3604 <I>da onera factus,
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diff changeset
3605 vt e$t A B. pars
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diff changeset
3606 obtu$a caput: pars acuta lingula vocatur. Hoc vtendi modus duplex
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diff changeset
3607 e$t. Primus cum lingula $ubditur oneri commouendo, &amp; vecti ip$i
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diff changeset
3608 quam proxime lingul&aelig; $ubditur corpu$culum firmum, quod Gr&aelig;cis</I>
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diff changeset
3609 <G>(w_omo/xlion,</G> <I>Vitruuio pre&szlig;io dicitur. Huius figura e$t fer&egrave; qu&aelig;-
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diff changeset
3610 uis obuia: expeditior tamen e$t, $i $it pri$mation, cuius aduer$a duo
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diff changeset
3611 plana &aelig;qualia $imilia, parallela, $int trian-</I>
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diff changeset
3612 <fig>
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diff changeset
3613 <I>gula, vte$t A D B C E F. Huius enim
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diff changeset
3614 pri$matis lateri vni tanquam centro, $i
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diff changeset
3615 vectis innitentis caput deprimatur, nece$$e
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3616 erit ilico lingulam, &amp; con$equenter lin-
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diff changeset
3617 gu&aelig; innixum onus attolli, &amp; ideo com-
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diff changeset
3618 moueri. Atque hic e$t primus modus vtendi vecte frequenti&szlig;imus:
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diff changeset
3619 $ed &amp; e$t alter non mult&ograve; infrequentior, cum lingula oneri, vt an-
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diff changeset
3620 t&egrave;, $ubdita nullo $ubdito pr&aelig;ter $olum immobile vecti ip$i hypo-
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diff changeset
3621 mochlio, vectis caput attollitur. Hoc enim $ur$um lato omnes etiam
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
3622 vectis partes attolli nece$$e e$t pr&aelig;ter extremum lingul&aelig; fixum, quo<*>
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diff changeset
3623 centri immobilis rationem $umit, &amp; terr&aelig; vel al&yuml; corpori immobili
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diff changeset
3624 tanquam hypomachlio innititur. Proinde etiam onus ad partis ve-
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diff changeset
3625 ctis cui impo$itum e$t, motionem mouebitur, &amp; tunc non $olum ele-
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diff changeset
3626 uatur: $ed &amp; $i opus e$t, fiatque vectis perpendicularis $olo, $ecundum</I>
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diff changeset
3627 <p n=>56</p>
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3628 <I>latus impellitur. Vtrumque vectis v$um Vitruuius cap. 8. lib. 10. $ic
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diff changeset
3629 explicuit. Ferreus vectis cum e$t commotus ad onus, quod manuum
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diff changeset
3630 multitudo non pote$t mouere, $uppo$ita vti centro cito porrecta pre$-
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diff changeset
3631 $ione, qu&ograve;d Gr&aelig;ci</I> <G>(w_omo/xlion</G> <I>appellant, &amp; vectis lingua $ub
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diff changeset
3632 onus $ubdita, caput eius vnius hominis viribus pre$$um, id onus ex-
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diff changeset
3633 tollet. Item $i $ub onus vectis ferrei lingula $ubiecta fuerit, neque
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diff changeset
3634 caput eius pre&szlig;ione in imum: $ed aduer$us in altitudinem extolletur,
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diff changeset
3635 lingula fulcta in are&aelig; $olo habebit eam pro onere, oneris aut&etilde; ip$ius
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diff changeset
3636 angulum pro pre&szlig;ione: ita non tam faciliter quam per pre&szlig;ionem,
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diff changeset
3637 $ed aduer$us nihilominus in pondus oneris erit excitat&utilde;. H&aelig;c Vitr.
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diff changeset
3638 &agrave; quo parum di$$entimus dum in $ecundo v$u vectis ponit $olum $eu
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diff changeset
3639 aream pro onere, nos pro centro &amp; hypomochlio, quor$um, dicemus</I>
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3640 <marg>Cap. 10 lib.
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3641 1 de plac.
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3642 H<*>pp. &amp;
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3643 <*></marg>
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3644 <I>alibi. Galenus comparauit mu$culum, qui e$t in$trumentum motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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3645 voluntar&yuml; vecti. vtque pondera, inquit, qu&aelig; mouere manibus nequi-
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3646 mus, vectibus admotis mouere $olemus. Ita cum membra corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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3647 mouere neruis non po&szlig;imus, ad ea mouenda mu$culi nobis $unt dati.
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parents:
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3648 neruus enim in $ingulis mu$culis in fibras di$$olutus, ita cum fibris
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3649 copulatur atque coniungitur, vt ex vtri$que vnum quoddam neruo-
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diff changeset
3650 $um corpus effectum &egrave; corpore mu$culi prodeat, qui tendo nomina-
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diff changeset
3651 tur. Atque hic quidem tendo ex in$trumentis exoriens, habet illius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3652 extrem&aelig; partis vectis rationem qu&aelig; ponderibus admouetur. Itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
3653 hic &yuml;s qui anatomen corporis humani re$pexerunt iucund&utilde; e$t ip$ius
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3654 membra, tanquam onera $excentis mu$culis, tanquam vectibus, tam
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diff changeset
3655 varie flecti, intendi $ur$um, ferri deor$um, demitti ad latera, contor-
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diff changeset
3656 queri, circumuolui, &amp; ad omnes motus, quos voluntas humana vti-
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diff changeset
3657 litate incitata pr&aelig;$cribit, educi, immo vero &yuml;$dem agentibus in quie-
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diff changeset
3658 te, &amp; quam medici appellant in media figura, retineri.</I></P>
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3659 <P>Cur vires exigu&aelig;.] <I>Machina libr&aelig; duobus problematis expe-
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diff changeset
3660 dita e$t: vectis deinde duodecim di$$eritur, &egrave; quibus primum e$t ge-
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diff changeset
3661 nerale. Qu&aelig;ritur ergo h&icirc;c, cur homo verbi gratia pu$illis viribus
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parents:
diff changeset
3662 amoueat vecte magna onera, colo&szlig;ica vocat Vitruuius, id e$t ma-
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diff changeset
3663 gn&aelig; molis, quales $unt colo&szlig;i. Et apud eundem colo&szlig;icotera compa-
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3664 ratiuum e$t Gr&aelig;cum pro grandiora, va$tiora, colo&szlig;i in$tar ha-
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parents:
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3665 bentia.</I></P>
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3666 <P>Facilius enim e$t.] <I>Ratio e$t ad augendam problematis propo-
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3667 $itide vecte difficultatem, qu&aelig; $ic concludi pote$t.</I></P>
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3668 <foot><I>Facilius</I></foot>
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3669 <p n=>57</p>
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parents:
diff changeset
3670 <P><I>Facilius e$t mouere paruum pondus quam magnum.</I></P>
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diff changeset
3671 <P><I>Moles $ine vecte e$t pondus minus: quam cum vecte.</I></P>
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diff changeset
3672 <P><I>Ergo facilius e$t mouere molem $ine vecte: quam cum vecte.</I></P>
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diff changeset
3673 <P><I>Propo$itio e$t vera, quia vires cuiu$libet citius &aelig;quabunt, aut etiam
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diff changeset
3674 $uperabunt pondus minus: quam maius. A$$umptio ver&ograve; fallaciam
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diff changeset
3675 habet ex varia di$po$itione vectis cum mole. Namtotus, aut dimi-
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diff changeset
3676 dia, aut plu$quam dimidia $ui parte $uppo$itus, aut $uperpo$itus moli,
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diff changeset
3677 ad&yuml;ceret pondus ponderi, $icque moles pondero$ior reuera euaderet.
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diff changeset
3678 At di$ponitur aliter, nempe libr&aelig; in morem, ita vt parte exigua $up-
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diff changeset
3679 ponatur moli mouend&aelig;, &amp; ab illi $uppo$ito fulcimento radius, $eu
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diff changeset
3680 caput ad vim mouentem maius fit, $icque di$po$itus pondus non
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diff changeset
3681 ad&yuml;cit moli.</I></P>
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diff changeset
3682 <P>An quia vectis.] <I>Solutio e$t problematis, quod vectis cum in
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diff changeset
3683 v$um venitreferat libram, qu&aelig; latitudine effatu digna pr&aelig;dita,
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diff changeset
3684 &amp; cuius agina deor$um $ita $it, tum qu&aelig; in in&aelig;qualia brachia diui-
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diff changeset
3685 $a eorum maius habeat ad partes mouentis, &amp; $ic tum ob libr&aelig; agi-
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diff changeset
3686 nam inferius po$itam, tum ob rad&yuml; mobilis magnitudinem vectis
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diff changeset
3687 facile &amp; velociter mouetur, &amp; vna cum vecte pondus alteri parti
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diff changeset
3688 incumbens aut annexum. Ratio h&aelig;c concluditur hoc $yllogi$mo.</I></P>
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diff changeset
3689 <P><I>Libra deor$um habens aginam &amp; brachium vnum longius, per
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diff changeset
3690 id facile deprimitur, &amp; depre$$a manet: vt patuit ex pr&aelig;ce-
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diff changeset
3691 dentibus.</I></P>
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diff changeset
3692 <P><I>Vectis e$t libra deor$um habens agin&atilde;, &amp; brachium vnum
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diff changeset
3693 longius (agina enim $eu centrum fit hypomochlium, &amp;
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diff changeset
3694 quidem ita vt ip$am diuidat in partes in&aelig;quales, &egrave; quibus
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diff changeset
3695 qu&aelig; ad caput longior $it, alioqui aliter in v$um adhibitus
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diff changeset
3696 vis mouens non magis mouere pote$t, quam $ine vecte.)</I></P>
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diff changeset
3697 <P><I>Ergo vectis facile deprimetur, depre$$u$que manebit, &amp; ad eius
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diff changeset
3698 motum pondus incumbens mouebitur.</I></P>
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diff changeset
3699 <P><+></P>
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diff changeset
3700 <P>Quod autem e$t mobile
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diff changeset
3701 ad mouens, id e$t longitu-
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diff changeset
3702 do ad longitudinem reci-
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diff changeset
3703 proc&egrave;. Semper $ane quant&ograve;
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diff changeset
3704 longitudo magis di$tabit &agrave;
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diff changeset
3705 pre$$ione, facilius mouebit
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diff changeset
3706 <foot>H</foot>
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diff changeset
3707 <p n=>58</p>
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diff changeset
3708 <+>
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diff changeset
3709 Cau$a vero ante dicta e$t:
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3710 quoniam radius maior ma-
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3711 iorem de$cribit circulum.
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diff changeset
3712 Itaque ab eadem vi plus
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3713 mutabitur mouens illud,
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3714 quod plus di$tat &agrave; pre$$io-
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3715 ne. Sit vectis <G>a b,</G> pondus
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3716 vero <G>g,</G> mouens autem <G>d,</G>
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3717 pre$$io <G>e.</G> Ip$um vero quod
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diff changeset
3718 mouerit <G>d,</G> $it vbi <G>h,</G> &amp; pon-
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diff changeset
3719 dus <G>g</G> motum vbi <G>k.</G></P>
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3720 <head>COMMENTARIVS.</head>
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diff changeset
3721 <P><I>Locus hic breui&szlig;im&egrave; totam vectis rationem explicat, vt $ciatur
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diff changeset
3722 vectis v$us, &amp; qu&aelig; vires, ad quod onus mouendum $ufficiant,
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diff changeset
3723 vel non $ufficiant. Qu&aelig;res vt intelligatur proponemus hoc theore-
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diff changeset
3724 ma. Vte$t potentia ad pondus $u$tentum: ita e$t pars vectis ab hypo-
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diff changeset
3725 mochlio ver$us linguam, ad partem ab eodem hypomochlio ver$us
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diff changeset
3726 caput, quod vt demon$tretur. Sit vectis A B, &amp; huius hypo-
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diff changeset
3727 mochlium C:</I>
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3728 <fig>
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parents:
diff changeset
3729 <I>$icq; vectis du&aelig;
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diff changeset
3730 partes C A ver-
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parents:
diff changeset
3731 $us linguam, C
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parents:
diff changeset
3732 B ver$us caput:
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parents:
diff changeset
3733 $it quoque pon-
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parents:
diff changeset
3734 dus D $u$pen$um ex perpendiculari A D: potentia autem $u$tinens
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parents:
diff changeset
3735 $it in B. Dico potentiam in B e$$e ad pondus D: vt A C ad B
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diff changeset
3736 C (quod hic vocatur reciproc&egrave;) fiat ergo vt B C ad A C: ita
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parents:
diff changeset
3737 pondus D ad aliud, vt E. hoc igitur pondus E loco potenti&aelig; ap-
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parents:
diff changeset
3738 pen$um in B, ip$um D pondere &aelig;quabit. Magnitudines enim in gra-
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diff changeset
3739 uitate commen$urabiles &aelig;quiponderant, $i permutatim $u$pendantur
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diff changeset
3740 in di$tantijs $ecundum grauitatum rationem c&otilde;$titut&aelig; prop. 6. lib. 1.
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diff changeset
3741 Archim. de &aelig;quipond. Et $ic potentia &aelig;qualis ip$i E ibidem con$ti-
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diff changeset
3742 tuta pondere &aelig;quabit ip$um D, id e$t ne D deor$um vergat, quod fa-</I>
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parents:
diff changeset
3743 <p n=>59</p>
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diff changeset
3744 <I>eit pondus E, prohibebit. Nam &aelig;qualia ad idem eandem rationem
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diff changeset
3745 habent prop. 7. lib. 5. el. Sed E habet eam ad D, quam A C and B C, ex
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diff changeset
3746 fab. ergo potentia in B ad pondus D eam rationem habebit, quam
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diff changeset
3747 A C ad B C. Itaque vt e$t potentia ad pondus $u$tentum: ita e$t
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diff changeset
3748 pars vectis &amp;c. quod fuit demon$trandum. Ex quo duo corollaria
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casties
parents:
diff changeset
3749 $tatim eliciuntur.</I></P>
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3750 <P>Primum. <I>Hypomochlio bifariam diuidente vectem, potentia
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diff changeset
3751 &aelig;qualis requiritur: in&aelig;qualiter vero in&aelig;qualis. Et quidem $i pars ab
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casties
parents:
diff changeset
3752 hypomochlio ad caput $it maius $egmentum, potentia minor: $i con-
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diff changeset
3753 tra pars ab eodem ad lingulam, potentia maior.</I></P>
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diff changeset
3754 <P>Secundum. <I>Qu&ograve; pars ab hypomochlio ad lingulam minor erit:
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parents:
diff changeset
3755 e&ograve; minor potentia ad $u$tinendum $ufficiet.</I></P>
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3756 <P>Reciproce.] <G>*an<+>ipepo/n<+>hsis.</G> <I>Reciprocatio quid $it de$umen-
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parents:
diff changeset
3757 dum e$t ex Eucl. def. 2. lib. 6. vbi reciproc&aelig; figur&aelig; definiuntur cum in
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diff changeset
3758 vtraque figura antecedentes &amp; con$equentes rationum termini fue-
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casties
parents:
diff changeset
3759 rint, id e$t quando in altera quidem e$t terminus antecedens prim&aelig;
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parents:
diff changeset
3760 rationis, &amp; con$equens $ecund&aelig;: in altera vero e$t con$equens pri-
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parents:
diff changeset
3761 m&aelig;, &amp; antecedens $ecund&aelig;. Qu&aelig; vt conuenire huic loco intelligan-
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parents:
diff changeset
3762 tur, $umendum e$t pondus mouendum $imul cum parte vectis ab hy-
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parents:
diff changeset
3763 pomochlio ad lingulam cui appenditur pro vna figura: &amp; potentia
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parents:
diff changeset
3764 mouens cum reliqua parte vectis pro altera figura. Sicque cum du&aelig;
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parents:
diff changeset
3765 rationes fiant, vna ponderis ad potentiam: altera partis cui potentia
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diff changeset
3766 innititur ad partem cui pondus e$t appen$um. Clarum e$t anteceden-
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parents:
diff changeset
3767 tes &amp; con$equentes rationum terminos in vtraque figura e$$e. Et
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parents:
diff changeset
3768 ideo figuras e$$e reciprocas.</I></P>
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parents:
diff changeset
3769 <P>Semper $ane.] <I>Hoc ex$ecundo corollario clarum e$t. Quo enim
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parents:
diff changeset
3770 pars vectis ad lingulam erit minor, eo pars ad caput erit maior. Et
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parents:
diff changeset
3771 $ic $i minor potentia ad $u$tinendum vel dimouendum $ufficiet,
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parents:
diff changeset
3772 etiam alia qu&aelig;uis paulo maior vis tanto facilius $u$tinebit, aut mo-
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parents:
diff changeset
3773 uebit pondus: quanto pars ad caput maior erit. In&aelig;qualium enim
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parents:
diff changeset
3774 maior ad eandem maiorem rationem habet prop. 8. lib. 5. Sed &amp;
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parents:
diff changeset
3775 huius rei cau$a adfertur ex his qu&aelig; ante demon$trata $unt, nempt &agrave;
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parents:
diff changeset
3776 radio maiore maiorem de$cribi circulum. Pars enim vectis ab hy-
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parents:
diff changeset
3777 pomochlio ad caput rad&yuml; in$tar e$t maioris, qui depre$$us &amp; ideo vo-
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parents:
diff changeset
3778 lutus circa hypomochlium fixum tanquam c&etilde;trum, de$cribit arcum
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parents:
diff changeset
3779 tanto maiorem: quanto ip$e radius maior erat. Adde igitur &amp; ex</I>
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diff changeset
3780 <foot>H ij</foot>
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parents:
diff changeset
3781 <p n=>60</p>
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parents:
diff changeset
3782 <I>antecedentibus, velocius quoque moueri, quod h&icirc;c e$t</I> <G>ra_|on kai\ ple/on
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parents:
diff changeset
3783 ki/nei<+>,</G> <I>facilius &amp; plus moueri. Ex his autem colligendum e$t il-
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parents:
diff changeset
3784 lud, quod e$t ab Archimede profectum problema admirabile. Da-
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parents:
diff changeset
3785 tum pondus data potentia mouere, locum habiturum in vecte, $i tam
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parents:
diff changeset
3786 longum dari rerum natura pateretur, vt in eo maioris $egmenti ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3787 minus ratio fieri po$$et paulo maior. ea, qu&aelig; dati ponderis e$$et ad da-
22d6a63640c6 moved 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 tam potentiam. Quod in quouis dato pondere cum r&egrave;rum natura 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
3789 patiatur, problema alioqui geometric&egrave; demon$tratum, in v$u ob 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
3790 teri&aelig; $atis long&aelig; &amp; firm&aelig; defect&utilde; $u&aelig; rationi re$pondere n&otilde; pote$t.</I></P>
22d6a63640c6 moved 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 <P>Sit vectis <G>a b</G>] <I>huius diagrammatis expo$itio $i non imperfe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3792 cta e$t, adfertur tantum ad o$tendendum quod pondus</I> <G>g</G> <I>ab eo cum</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
3793 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3794 <I>erat in</I> <G>a</G> <I>per depre&szlig;ionem</I> <G>b</G> <I>ad</I> <G>h</G> <I>tran$latum e$t ad</I> <G>k.</G> <I>Sed adhuc
22d6a63640c6 moved 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 paulo ob$curius. Apertius igitur $ic. Sit vectis</I> <G>a b,</G> <I>pondus vero</I> <G>g,</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
3796 <I>mouens autem</I> <G>d,</G> <I>pre&szlig;io</I> <G>e.</G> <I>Cum ip$um</I> <G>d,</G> <I>quod moueat, $it vbi</I> <G>h</G><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
3797 &amp; pondus</I> <G>g</G> <I>motum erit vbi</I> <G>k.</G> <I>quod ita $e habere o$tendit tertia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3798 proprietas circuli, ex qua cap. 1. huius lib. o$ten$um e$t diametri 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
3799 tremo vno deor$um moto, alterum eodem tempore $ur$um moueri. 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
3800 autem hic vectis</I> <G>b a,</G> <I>vt diameter circuli cuius extremum</I> <G>b</G> <I>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
3801 $um cum ad</I> <G>h</G> <I>mouetur, alterum</I> <G>a</G> <I>$ur$um $imul moueri vt ad</I> <G>k,</G> <I>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
3802 ce$$um e$t. Et ex his denique contendit Ari$toteles o$tendere circula-
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parents:
diff changeset
3803 rem motum omnium machinationum principia in $e continere, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3804 multis po$tea $pecialibus exemplis declarabit, in quibus &amp; alijs om-
22d6a63640c6 moved 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 nibus, qui $cit&egrave; di$tinguet, quid oneri re$pondeat, pro quo $it vectis,
22d6a63640c6 moved 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 quale $it hypomochlium, vnde vis mouens habeatur, hic habebit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3807 abund&egrave;, quid $entiendum $it.</I></P>
22d6a63640c6 moved 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 <p n=>61</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3809 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3810 <P>5. Cur nauim mouent 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
3811 xime remiges, qui 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
3812 media naui $edent.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3813 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3814 <P>Cur nauim mou&etilde;t maxi-
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parents:
diff changeset
3815 me remiges mediani? An qa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3816 remus e$t vectis, pre$$io $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3817 quid&etilde; $calm^{9} efficitur. Hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3818 enim manet. p&otilde;dus autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3819 mare, quod rem^{9} propellit:
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parents:
diff changeset
3820 vect&etilde; vero mouens e$t nau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3821 ta. Sed $emper plus p&otilde;deris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3822 mouet, quanto plus motor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3823 di$titerit &agrave; pre$$ione. 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
3824 enim maior fit radius, &amp;
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parents:
diff changeset
3825 $calmus pre$$io exi$t&etilde;s cen-
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parents:
diff changeset
3826 tr&utilde; e$t. In nauis aut&etilde; medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3827 plurim&utilde; remi intus e$t. Ete-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3828 nim nauis ea parte lati$$ima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3829 exi$tit: ideo vtrin que remi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3830 partem maiorem intus in
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parents:
diff changeset
3831 vtro que latere nauis c&otilde;tin-
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parents:
diff changeset
3832 git e$$e. Itaq; mouetur na-
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parents:
diff changeset
3833 uis, quia dum remus inni-
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parents:
diff changeset
3834 titur mari, extrem&utilde; remi,
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parents:
diff changeset
3835 quod intus e$t antror$um
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parents:
diff changeset
3836 procedit: Tum que nauim
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casties
parents:
diff changeset
3837 $calmo alligat&atilde; procedere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3838 nece$$e e$t e&ograve;, vbi e$t extre-
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diff changeset
3839 m&utilde; remi. Vbi enim remus
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parents:
diff changeset
3840 plurim&utilde; maris diuidit, e&ograve;
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parents:
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3841 maxime nece$$e e$t impel-
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parents:
diff changeset
3842 li. Ibi aut&etilde; plurim&utilde; diuidit,
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parents:
diff changeset
3843 vbi maxima pars remi &agrave;
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3844 $calmo e$t. Propter id ma-
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3845 xim&egrave; mouent. Maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3846 enim remi pars &agrave; $calmo intus e$t in medio nauis.</P>
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3847 <foot>H iij</foot>
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parents:
diff changeset
3848 <p n=>62</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3849 <head>COMMENTARIVS.</head>
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parents:
diff changeset
3850 <P>Cvr remiges.] <I>Specialia deinceps $unt vndecim de vecte 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
3851 blemata, &egrave; quibus priora $ex pertinent ad nauigandi artem, 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
3852 mirabilior $it propter audaciam, an propter $ubtilitatem inuentornm
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3853 ad bene nauig&atilde;dum vtilium, dubium e$t. Quid enim audacius quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3854 ventorum furorem, &amp; maris rabiem contemnere, &amp; vt in eo tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3855 quilla $int omnia, $e tantum duorum $patio digitorum &agrave; certa, eaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3856 a&szlig;idua morte di$tare cernere! Semper enim</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3857 <P>E$t tua tam prop&egrave; mors: quam prop&egrave; cernis aquam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3858 <I>Et quod audacius e$t tam longum iter, tam infidum ob $copulos, vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3859 tices, charybdes, Syllas, breuia, Syrtes $ine vllis certis ho$pic&yuml;s 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
3860 per $ummas tenebras, in quibus homines alioqui domibus $uis vrba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3861 nis conclu$i, horrent, peragere? Et denique vbie$t aqu&aelig; $emper $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3862 ma copia, nullius rei tamen magis, quam aqu&aelig; penuria laborare?
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3863 Rect&egrave; $an&egrave; dixit Horatius,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3864 <P>Illi robur &amp; &aelig;s triplex</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3865 <P>Circa pectus erat, qui fragilem truci</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3866 <P>Commi$it pelago ratem</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3867 <P>Primus.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3868 <P><I>Quid vero $ubtilius, quam ob$cura etiam nocte, c&oelig;lo nubilo, nullo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3869 termino vel lapide cert&aelig; vi&aelig; indice per tam incertos maris patuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3870 tramites, rectum tamen iter, tanquam Deo aliquo duce tenere? Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3871 omnes mundi partes inui$ere, importare, a$portare omnia, qu&aelig; vbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3872 que D&aelig;dala Tellus profert, omnibus communicare, tot ad id excogi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3873 ta$$e commoda, remos, malos, vela, Temonem, anchoram, pyxidem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3874 &amp; quod $upra fidem e$t eodem vento contrarium iter agere. Sed &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3875 i$ta $ubtilitas maior apparebit, cum qu&aelig; ad artem nauigandi perti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3876 nentia problemata h&icirc;c proponuntur ab Ari$totele explicata fuerint.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3877 <P>In medio nauis.] <I>Nauis e$t ingens machina oblonga, intus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3878 caua, foris prominens, ad laterum media latior ad anteriorem par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3879 tem, qu&aelig; prora dicitur, acuta, ad po$teriorem, qu&aelig; puppis dicitur ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3880 tu$ior, qua homines, &amp; onera magna $uper aquam vehuntur. An-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3881 tiqui&szlig;ima nauium Arg&ocirc; &agrave; Fabro nauali, qui eam &aelig;dificauit, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3882 Apollonio creditur, nuncupata e$t. Sic enim in</I> <G>*argonau<+>ikw_n.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3883 <p n=>63</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3884 <P><G>*nh_a d) )<+>pikrate/ws ar)gou_ (w_o<+>hmosu/nh|si</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3885 <P><G>*ezwsan, pa/mw_rw<+>on e)u:<+>refei_ en)do<+>en o(/pl<+>.</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3886 <I>qu&aelig; $ic reddidit Lazarus Bayfius.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3887 <P>Imprimis nauem diuinis artibus Argi,</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3888 <P>Extructam, intus compingunt habili armamento.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3889 <P><I>Tullius tamen in 1. Tu$cula. dicit nominatam Arg&ocirc;, quia Argiui in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3890 ea delecti viri vecti petebant Arietis pellem inauratam. Ante Ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3891 goratibus, &amp; paruis acat&yuml;s homines tantum vehi $olere, te$tis 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
3892 Diodorus $iculus. Sed po$t hanc, vt e$t hominum ingenium ferax,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3893 naues vari&aelig; confect&aelig; $unt: quarum ali&aelig; velis, qu&aelig; onerari&aelig;: ali&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3894 remis, qu&aelig; actuari&aelig;: ali&aelig; velis &amp; remis, qu&aelig; long&aelig; dict&aelig; $unt. Om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3895 nium pr&aelig;cipu&aelig; partes $unt anterior, qu&aelig; prora: po$terior qu&aelig; puppis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3896 latus, quicquid dextra &amp; $ini$tra inter proram &amp; puppim in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3897 teriacens prominet: Ima, qu&aelig; in aqua immer$a alueus &amp; carina di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3898 citur. Sunt &amp; in omnium ambitu fori, per quos naut&aelig; cur$itant, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3899 in proiecturis laterum tran$tra, $edes $cilicet quibus acturi nauem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3900 actuariam, vel longam in$ident. Hi &agrave; remo Remiges dicti. E$t au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3901 tem Remus palus longus &amp; validus parte vna latior, qu&aelig; palmula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3902 dicitur, reliqua rot&utilde;dus, cuius extremum, manubrium dicitur. Remi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3903 fuerunt diuer$&aelig; magnitudinis pro proportione nauis agend&aelig;, &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
3904 eadem naui in&aelig;qualis, tractabilis tamen vnius validi remigis viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3905 bus, propter libramentum, quod &agrave; plumbatis manubr&yuml;s accedebat ni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3906 xus impellentium brachiorum adiuuans. Athen&aelig;us recitat inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3907 remos quo$dam fui$$e tant&aelig; longitudinis vt duodequadraginta cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3908 bitos explerent, quod non erit incredibile memoria repetenti quarun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3909 dam nauium &agrave; veteribus fabricatarum va$titatem, cuiu$modi idem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3910 &amp; Plutarchus memorant fui$$e illam dictam fluuialem Thalame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3911 gon, quam Ptolom&aelig;us Philopator in delic&yuml;s habuit, non tam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3912 v$um: quam ad o$tentationem, vt qu&aelig; in longitudinem ducentos ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3913 octoginta: &amp; ab imo v$que ad tran$tra duodequinquaginta cubitos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3914 pateret. Qu&aelig; amplitudo remi &amp; nauis (quod alioqui e$t nunc nobis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3915 incredibile videntibus tantum naues, qu&aelig; &agrave; numero remigum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3916 vnoquoque tran$tro $edentium $unt vniremes, triremes, quadrire-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3917 mes, quinquiremes) probabile facit fui$$e in v$u apud antiquos naues
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3918 multo plurium remigum decem, vndecim, viginti, mult&ograve; plurium, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3919 vnoquoque tran$tro &amp; tran$trorum multos, ordines vnde idem</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3920 <p n=>64</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3921 <I>Athen&aelig;us recen$et Philadelphum ad v$um habui$$e trieconteres, id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3922 e$t tricen&ucirc;m ordinum duas: I co$erem vndm, qu&aelig; vicen&ucirc;m erat, qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3923 tuor qu&aelig; tern&ucirc;m den&ucirc;m, duas qu&aelig; duoden&ucirc;m, quatuordecim 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
3924 vnden&ucirc;m, &amp; alias infra multas. Illam autem, qu&aelig; Philopatoris fuit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3925 fui$$e quinquaginta ordinum, &amp; in $ingulis tran$tris quadraginta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3926 remis, id e$t, remigibus (nam &amp; horum po$tea numerum a&szlig;ignat to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3927 tius fui$$e 4000.) agi. Remigum autem antiquitus, vt &amp; hodie,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3928 al&yuml; voluntar&yuml;: al&yuml; mercede c&otilde;ducti: al&yuml; vt adacti, vt in bello capti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3929 aut ab Archipyratis in locis maritimis compreh&etilde;$i, aut ob $celera ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3930 remos &agrave; iudicibus damnati, c&otilde;pediti, &amp; alligati $ine mercede etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3931 nudi $ub flagellis remigant. Omnes intres ordines reduxit quidam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3932 Scholia$tes Ari$tophanis in Ranis locum illum,</I> <G>*kai\ <+>popa<+>d<+>_n e)s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3933 to\ <+>o/ma tw_| <+>ala/maxi,</G> <I>interpretans, dum dicit eos, qui in inferiore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3934 parte nauis e&szlig;&etilde;t</I> <G><+>alami_tas</G> <I>$eu</I> <G><+>ala/maxas,</G> <I>qui in medio</I> <G><+>ou_tas,</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
3935 <I>qui in $uperiore</I> <G><+>ani_tas</G> <I>appellatos fui$$e. V nde nonnulli exi$tima-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3936 runt fui$$e naues, qu&aelig; in parte laterali $upra aquas eminente, tria 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
3937 ramina</I> <G>xa<+>) i)/sin</G> <I>eius partis habui$$e, quor&utilde; $ingula $uum remum
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parents:
diff changeset
3938 haberet alligatum. Vnde cum hiremi $itu pro differentia loci $ur-
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parents:
diff changeset
3939 $um &amp; deor$um e$$ent di$tincti: ita quoque $uos remiges haberen<*>
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parents:
diff changeset
3940 di$tinctos: $ed eam mentem non fui$$e $cholia$tis illius indicat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3941 quod paul&ograve; p&ograve;$t $ubiunxit.</I> <G><+>ani/ths )<+>,</G> <I>inquit</I> <G>o( w_ro\s ti/w\ w_ru/mnan,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3942 <+>ugi/ths o( meoos, <+>alami/ths o( w_ro\s ti/w\ w_rw/<+>an.</G> <I>Thranites e$t 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
3943 qui ad puppim remigat, Zygites qui in media naui, Thalamites qui
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parents:
diff changeset
3944 ad proram, vbi manife$t&egrave; $uperiorem nauis partem explicat ad pup-
22d6a63640c6 moved 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 pim in qua $edet gubernator, vt qu&aelig; altior e$t: inferiorem ad proram,
22d6a63640c6 moved 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 qu&aelig; inferior e$t, ne gubernatoris ob$truat luminibus: ideo inter istos
22d6a63640c6 moved 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 <+>git&aelig; $unt, quos hic Ari$toteles vocabulo compo$ito</I> <G>e)x meoh_s kai\
22d6a63640c6 moved 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 ne/ws</G> <I>vocat me$oneos. Sed hic non leuis obrepit controuer $ia, &amp; 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
3949 pter pr&aelig;$entem Ari$totelis contextumante di$$oluenda, $i pote$t, 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
3950 duobus locis, altero Thucydidis, altero Galeni. Ille enim li. 6. h&aelig;c h&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3951 bet.</I> <G><+>pihra/fxwn )<+>pi<+>o<+>a\s w_ro\s tw_| )ex dimwoi/ou mi<+>w_| dido/ntwn
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3952 pi_s <+>ari/tais,</G> <I>Thranit&aelig; pr&aelig;ter $tipendium publicum &agrave; trierarchis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3953 donatiuum con$equebantur, cuius rei cau$a $ubdita e$t &agrave; $choliaste,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3954 quoni&atilde;remos longiores trahebant, grauioreque labore vexabantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3955 &amp; adhuc hodie e&ograve; loci remigant ex omnibus delecti robu$tiores, &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3956 largis $patulis Gallis dicti Eppaliers. Hic ver&ograve; cap. 24. lib. I, de v$u</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3957 <foot><I>partium</I></foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3958 <p n=>65</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3959 <I>partium $ic ait, In triremibus remor&utilde; extremitates ad vnam &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3960 litatem perueniunt, cum tamen ip$i omnes non $int &aelig;quales, etenim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3961 etiam ibi medios eandem ob cau$am maximos efficiunt, id e$t, vt vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3962 dere licet ex i$to cap. Galen. citato, vt manus digiti in&aelig; quales $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
3963 &amp; medius longi&szlig;imus ad firmam rerum apprehen $ionem, &amp; ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3964 prehen$arum retentionem, quod illius munus e$t, quod non aliter 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
3965 quam quum digitorum extremitates ad &aelig;qualitatem perueniunt: $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3966 ob nauigationis perfectionem in valido &amp; faciliori nauis, qu&acirc; prora
22d6a63640c6 moved 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 $pectat impul$u po$itam, remi facti $unt in&aelig;quales, &amp; corum me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3968 dius maximus: &amp; horum quidem i$ta in&aelig;qualitas ob eandem cau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3969 $am, vt $cilicet remorum extremitates $imul omnes in remigatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3970 ad &aelig;qualitatem peruenirent. Ex his locis vtriq; conueniunt eiu$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
3971 lateris remos e$$e in&aelig;quales: $ed in hoc in $igniter di$crepant, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3972 Galenus a$$erat medios, id e$t remos Zygitarum, $eu</I> <G>meoune/wn</G> <I>e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3973 maximos: Ari$toteles non hos, $ed Thranitar&utilde;. Et ver&utilde; dicere Gale-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3974 num cogno$cemus $i prius intellexerimus quomodo remorum extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3975 mitates in remigationis ictu ad &aelig;qualitatem perueniant. Ad hane
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3976 enim peruenire po$$unt duobus tantum modis, priore $i intelligamus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3977 tran$trorum ordines</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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 <I>po$itos e$$e ita, vt 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
3980 $inant $ecundum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3981 ctam A B parallelam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3982 rect&aelig;, qu&aelig; in naui 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
3983 tenderetur &agrave; prora ad
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casties
parents:
diff changeset
3984 puppim cuiu$modi e$to
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3985 C D, cui etiam altera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3986 E F in mari parallela
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3987 ad quam extremitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3988 peruenirent, ita vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3989 $ponda nauis ad cuius
22d6a63640c6 moved 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 G H T $calmos e$$ent
22d6a63640c6 moved 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 alligati remi K G P,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3992 M H N, O T P.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3993 Sed $i $ic pr&aelig;terquam
22d6a63640c6 moved 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 quod Thalamitarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
3995 Zygitarum &amp; Thra-</I>
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parents:
diff changeset
3996 <foot>I</foot>
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parents:
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3997 <p n=>66</p>
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parents:
diff changeset
3998 <I>nitarum Remi e$$ent &aelig;quales prop. 33. &amp; 34. lib. I. elem. Eucl. quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
3999 e$t contra omnium $ententiam, nauigatio e$$et valde impedita, eo
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parents:
diff changeset
4000 quod cum aqua ante nauim immota, ideoque difficilius cedens: tum
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parents:
diff changeset
4001 po$t nauim etiam immota, minimeque eo rediens non compelleret.
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parents:
diff changeset
4002 Moueretur enim aqua $ecundum rectam E F remorum extremita-
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parents:
diff changeset
4003 tes excipientem. Po$terior igitur e$t $i de$inant $ecundum lineam pa-
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parents:
diff changeset
4004 rallelam $pond&aelig; nauis qu&aelig; $emper e$t</I> <G>w_<+>e<+>xoeidh\s.</G> <I>Sic 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
4005 Galenus digitor&utilde; corpus valde $ph&aelig;ric&utilde; omnium &agrave; manu appreh&etilde;-
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parents:
diff changeset
4006 dendor&utilde; difficillim&utilde;, apprehendenti&utilde; extremitates vult de $inere in
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parents:
diff changeset
4007 eandem circuli ip$um $ecantis peripheri&atilde;. Quomodo $i pro E F recta
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parents:
diff changeset
4008 con$tituamus pe-</I>
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parents:
diff changeset
4009 <fig>
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parents:
diff changeset
4010 <I>ripheric&atilde; Q L N
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parents:
diff changeset
4011 P R ad quam de-
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parents:
diff changeset
4012 $in&atilde;t pr&aelig;dicti re-
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parents:
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4013 mi, non $olum re-
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parents:
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4014 morum erit in&aelig;-
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parents:
diff changeset
4015 qualitas, &amp; me-
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parents:
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4016 dius erit maxi-
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parents:
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4017 mus, vt in manu
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parents:
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4018 digitus medius:
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casties
parents:
diff changeset
4019 $ed &amp; nauigatio
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parents:
diff changeset
4020 facilius procedet
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parents:
diff changeset
4021 propter c&otilde;trarias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4022 cau$as, quipp&egrave; 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
4023 luti circulationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4024 vndar&utilde; circa na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4025 uim fient, vnde
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parents:
diff changeset
4026 qu&aelig; ante e$t pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4027 pul$a aqua viam
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parents:
diff changeset
4028 aperiet nauigio,
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casties
parents:
diff changeset
4029 &amp; retro compre$$a, comprimen$ que nauigium propellet. Quod 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
4030 M H N medius remus $it longior remis O I P &amp; K G L fa-
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parents:
diff changeset
4031 cile demon$tratur ducta recta G I parallela ip$i K. O. Sic enim
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parents:
diff changeset
4032 &aelig;quales $unt G K, S M, I O prop. 33. &amp; 34. lib. 1. &aelig;quales item
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parents:
diff changeset
4033 propter paralleli$mum G L, H N, &amp; I P. tot&aelig; igitur 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
4034 &aelig;quales axiom. 2. lib. 1. &amp; ad earum vnam nempe ex S M, H N</I>
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parents:
diff changeset
4035 <p n=>67</p>
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parents:
diff changeset
4036 <I>cum addatur in$uper S H erit ip$a M S H N remus medius
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parents:
diff changeset
4037 in&aelig;qualis, &amp; vtrolibet aliorum maior ax. 4. Ergo maximus, 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
4038 fuit probandum. Dicemus igitur $cholia$tis &amp; Thucydidis locos
22d6a63640c6 moved 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 debere intelligi, non de totis remis: $ed remorum partibus, qu&aelig; $unt &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4040 $calmo ad mare proportione habita ad eas partes, qu&aelig; $unt &agrave; $calmo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4041 ad manubrium. Thranit&aelig; enim remus &agrave; $calmo ad extrem&utilde; palmu-
22d6a63640c6 moved 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 l&aelig; maiorem long&egrave; rationem habet ad partem, qu&aelig; e$t ab eodem $cal-
22d6a63640c6 moved 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 mo ad manubrium, id e$t I P ad I O: quam zygit&aelig; pars H N 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
4044 partem H S M vt docebitur po$tea. Et ea e$t cau$a cur zygites 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
4045 cilius &amp; plus promoueat nauim: contra Thranites laborio$ius &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
4046 minus, vt docebitur etiam. Atque $ic $int hi duo loci meo iudicio 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
4047 plicati. C&aelig;terum Remiges, vt &amp; hoc notatu pulchrum ad&yuml;ciamus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4048 Remigando artificios&egrave; $imul omnes, quamuis quater mille, inter $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
4049 con$entientes, alioqui illis corium fiagris tam fit maculo$um quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4050 nutricis pallium, vel cur$um nauis accelerant, vel inhibent, vel $u$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4051 nent, &amp; vt ait Poeta,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4052 <P>Intentaque brachia rem&iacute;s</P>
22d6a63640c6 moved 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 <P>Intenti expectant $ignum.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4054 <P><I>Atque h&aelig;c $int de nauigandi arte, nauibus, remis, remigibus, remi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4055 gum ordine, locis, &amp; officio dicta, quibus etiam in his qu&aelig; po$te&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4056 dicentur, alia ad&yuml;cientur $citu digna.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4057 <P>Cur remiges.] <I>E $ex problematis qu&aelig; de vecte pertinent 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
4058 nauigandi artem, primum per comparationem proponitur. E$t 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
4059 eiu$modi cur remigum in medio $edens plus mouet nauim: quam 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
4060 ad proram, vel ad puppim. Re$pondet idfieri, quia Remi pars &agrave; $cal-
22d6a63640c6 moved 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 mo ad manubrium eius qui medius e$t, maior e$t ea, qu&aelig; e$t &agrave; $calmo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4062 ad manubrium prop&egrave; proram vel puppim $edentis. Tum quia pars &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4063 $calmo ad palmulam eius qui medius e$t plus maris diuidit, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4064 pars &agrave; $calmo ad palmulam aliorum. Tota igitur h&aelig;c qu&aelig;$tio hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4065 primario $yllogi$mo $ic concludetur.</I></P>
22d6a63640c6 moved 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 <P><I>Ille remiges inter plus nauim promouet, cuius remi pars &agrave; $cal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4067 mo ad manubrium maior e$t: &amp; cuius etiam pars &agrave; $calmo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4068 ad palmulam plurimum maris diuidit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4069 <P><I>Sed remi pars &agrave; $calmo ad manubrium cius qui in medio 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
4070 maior: &amp; ad palmulam eiu$dem plus maris diuidit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4071 quam aliorum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4072 <foot>I ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4073 <p n=>68</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4074 <P><I>Ergo qui in medio e$t inter remiges plus promouet nauim.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4075 <P>An quia remus.] <I>Prior pars propo$itionis pr&aelig;cedentis $yllogi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4076 mi primo loco illu$tratur, $ic</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4077 <P><I>Quant&ograve; maior e$t vectis pars ab hypomochlio ad caput, 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
4078 vis mouens facilius &amp; plus mouet, quia ibi maior e$t radius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4079 Hoc ita e$$e patuit ex cap. pr&aelig;ced. libri huius.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4080 <P><I>Sed pars remi &agrave; Scalmo ad manubrium e$t pars vectis ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4081 hypomochlio ad caput. Nam remus e$t vectis. per def. &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4082 $calmus e$t hypomochlium. hic enim mouet, pondus vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4083 mobile mare, &amp; vectem mouens, Remex.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4084 <P><I>Ergo is plus &amp; facilius nauim promouebit, cuius remi pars &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4085 $calmo ad manubrium maior erit.</I></P>
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>In nauis medio.] <I>A$$umptio e$t primar&yuml; $yllogi$mi confir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4087 mata ex forma nauis qu&aelig; in $ui medio latior e$t &amp; depre&szlig;ior: in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4088 prora autem &amp; puppi arctior, &amp; $ublimior. Ergo $uppo$ito quod re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4089 mi omnium remig&utilde; $int &aelig;quales, ex his, qui $calmis pror&aelig; &amp; puppis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4090 $unt alligati, partem extra nau&etilde; longiorem habent, alias eor&utilde; palmu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4091 la non diuideret aquam, &amp; intra nauem minorem: contra omnia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4092 his qui $calmis mediorum laterum nauis alligantur. vt ex penultimo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4093 diagrammate qualicunque intelligi pote$t. In quo C e$to prora, D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4094 puppis, G $calmus ad proram, T $calmus ad puppim, H $calmus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4095 ad medium: vbi nauis latior &amp; depre&szlig;ior e$t, ob id magis di$tans &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4096 recta A B, vtpote chorda arcus A G H T B, qu&aelig; de$ignes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4097 loca tran$trorum &amp; qu&aelig; &agrave; remis partes auferat &aelig;quales &amp; partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4098 in&aelig;quales relinquat K G, M H, O T &amp; quidem M H ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4099 iorem. (quod nos $equenti theoremate demon$trabimus) igiur erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4100 totum ex M H, &amp; adempto maius quam quod ex K G &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4101 adempto, velex O T &amp; adempto per ax. 5.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4102 <P>Theorema. <I>Si chorda rectas in circulo in$criptas ad rectos $e-
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parents:
diff changeset
4103 cet: $ectarum pars, qu&aelig; de diametro ab$cinditur, e$t maxima, reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4104 quarum qu&aelig; diametro propinquior remotiore maior e$t. E$to circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4105 lus A D B E, in quo rectam A B diametrum $ecet chorda D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4106 E ad rectos vt &amp; K I, L H: &amp; $int $egmenta C B, &egrave; dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4107 metro: F I &egrave; propinquiore: G H &egrave; remotiore. Dico C B e$$e
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diff changeset
4108 maiorem quam F I: &amp; F I quam G H. Per punctum M cen-
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diff changeset
4109 trum circuli repertum prop. 1. lib. 3. ducatur parallela M N O P</I>
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diff changeset
4110 <p n=>69</p>
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parents:
diff changeset
4111 <I>rect&aelig; C D prop. 31. lib. 1. $icque parallelogramma $unt O F &amp;</I>
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diff changeset
4112 <fig>
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parents:
diff changeset
4113 <I>N C. Quoniam igitur diame-
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diff changeset
4114 ter A B maxima e$t in$cripta-
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parents:
diff changeset
4115 rum in circulo, &amp; K I propin-
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parents:
diff changeset
4116 quior centro ip$i L H remotiore
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parents:
diff changeset
4117 maior e$t prop. 15. lib. 3. harum
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parents:
diff changeset
4118 quoque dimidi&aelig; M B, N I, O
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parents:
diff changeset
4119 H prop. 3. lib. eiu$dem erunt in-
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diff changeset
4120 &aelig;quales &amp; M B maior quam
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diff changeset
4121 N I, &amp; N I quam O H. Ab
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parents:
diff changeset
4122 his igitur $ublatis &aelig;qualibus M
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parents:
diff changeset
4123 C, N F, O G parallelogram-
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parents:
diff changeset
4124 morum O F, N C lateribus oppo$itis prop. 34. lib. 1. reliqu&aelig; C&verbar; B,
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parents:
diff changeset
4125 F I, G H erunt iu&aelig;quales ax. 5. Et quidem reliqua C B &agrave; maiore M
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parents:
diff changeset
4126 B maior: quam F I: &amp; F I eadem ratione maior quam G H, &amp;
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parents:
diff changeset
4127 $ic de c&aelig;teris. Igitur $i chorda rectas, &amp;c. quod fuit demon$trand&utilde;.</I></P>
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diff changeset
4128 <P>Itaque mouetur nauis.] <I>Cau$a efficiens motum nauis actua-
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parents:
diff changeset
4129 ri&aelig;, &amp; modus quo efficitur, hic exprimitur e$$e impul$io remi &agrave; re-
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parents:
diff changeset
4130 mige, mouente animato. Modus e$t cum remi palmula aquam ingre$-
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diff changeset
4131 $a, &amp; aqu&aelig; ob $ui copiam, tanquam $olo, firmiter renitenti innixu
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parents:
diff changeset
4132 manubrium antror$um propellitur &agrave; remige, &amp; proinde totus remus
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parents:
diff changeset
4133 vnum continuum &amp; validum inflexileque exi$tens, excepto palmu-
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diff changeset
4134 l&aelig; extremo quod ob aqu&aelig; renixum vtcumque immobile manet, &amp;
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parents:
diff changeset
4135 per con$equens alligata remo, e&ograve; qu&ograve; manubrium, promouentur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4136 Nauis autem per $calmum alligata e$t remo. Nauis igitur promouebi-
22d6a63640c6 moved 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 tur antror$um, $i e&ograve; manubrium promot&utilde; $it. Dixi $i e&ograve; manubrium
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parents:
diff changeset
4138 promotum $it, quia concitato nauigio, quum remiges inhibent, contra
22d6a63640c6 moved 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 fit. Manubrium $iquidem mouetur retror$um, proinde vna cum eo
22d6a63640c6 moved 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 &amp; nauis. Ad huius rei fidem locus e$t apud Tullium luculentus.
22d6a63640c6 moved 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 Nunc vt ad rem redeam, inquit, inhibere illud tuum, quod valde
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parents:
diff changeset
4142 mihi arri$erat, vehementer di$plicet. E$t enim verbum totum nauti-
22d6a63640c6 moved 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 cum: quanquam id quidem $ciebam: $ed arbitrabar $u$tineri remos,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4144 quum inhibere e$$ent remiges iu&szlig;i. Id non e$$e eiu$modi, didici heri,
22d6a63640c6 moved 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 quum ad villam no$tram nauis appelleretur: non enim $u$tinent, $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
4146 alio modo remigant, id ab</I> <G>e)poxh_s</G> <I>remoti&szlig;imum e$t. Et po$tea $ubdit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4147 Inhibitio autem remigum motum habet, &amp; vehem&etilde;tiorem quidem</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
4148 <foot>I iij</foot>
22d6a63640c6 moved 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 <p n=>70</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4150 <I>remigationis nauem conuertentis ad puppim. H&aelig;c Cicero. qu&aelig; non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4151 abs re vt arbitror h&icirc;c $unt in$erta, vt qu&aelig; plurimum faciant
22d6a63640c6 moved 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 ad intelligendum <*>e motibus nauis duos rectos concitationem $ci-
22d6a63640c6 moved 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 licet, &amp; inhibitionem, &amp; vtramque fieri &agrave; remo tanquam &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4154 vecte. non tamen vt antea vecte, in quo eius altero 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
4155 mo per vim mouentem depre$$o, eleuetur alterum: $ed in quo 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
4156 eius alterum extremum $ur$um tollatur, alteri $ubiecta aqua renita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4157 tur, &amp; hypomochl&yuml; vicem pr&aelig;$tet: non $calmus. Scalmus enim 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
4158 manet: $ed transfertur vna cum naui, quod e$t contra naturam 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
4159 tri, quale repre$entat id, quod pro hypomochlio e$t. Et aqu&aelig; pars exci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4160 piens palmulam, qua patet in latum, vt reuera moueatur: motus ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4161 men hic vel e$t exiguus, &amp; pro nullo ideo cen$endus: vel retrocedit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4162 $ed minus quam $calmus procedat, vt po$tea demon$trabitur. Erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4163 iginur pro centro, neque etiam nautis animus e$t mare: $ed nauem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4164 tanquam pondus propellere. Neque minus interea verum erit, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4165 qui in medio mari remigant, ip$am plus propellant. Sed quid dice-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4166 mus Aristoteli &amp; Vitruuio qui apert&egrave; dicunt $calmum e$$e hypo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4167 mochlium, &amp; mare pondus mouendum. Cert&egrave; $i $edulo attendamus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4168 remigatio vna non vnus e$t $implex remi motus: $ed ex quatuor di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4169 uer$is compo$itus. In horum primo palmula extra aquam educitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4170 depre$$o manubrio: in $ecundo $uper aquam antror$um palmula pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4171 mouetur adducto ad remigem manubrio: in tertio palmula in aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4172 demergitur eleuato manubrio: in postremo palmula retror$um adi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4173 gitur impul$o totis viribus antror$um manubrio. Atque hi motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4174 quia nulla valde $en$ibili interpo$ita mora fiunt, vnus qua$i circula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4175 ris e$$e videntur: diuer$i tamen $unt terminis ad quos &amp; &agrave; quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4176 remus mouetur, &amp; cau$is. Quia in tribus prioribus $calmus mani-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4177 fe$t&egrave; e$t hypomochlium, pondus mouendum e$t aqua, vel pars extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4178 ma remi cum e$t extra aquam. De his igitur pote$t intelligi Ari$to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4179 teles tum Vitruuius. At in quarto agua renitens palmul&aelig; e$t hypo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4180 mochlium, nauis vero pondus mouendum, vt diximus. Si quis tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4181 etiam de hoc po$trem&ograve; remi motu velit $en$i$$e Ari$totelem non re-
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casties
parents:
diff changeset
4182 luctabor, dummodo concipiat mare pondus quidem mouendum: $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4183 quod ob renixum qua$i immobile faciat, vt $calmus circa quem tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4184 quam centrum remus voluitur, cedat loco &amp; promoueatur. Sicque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4185 nauta aliquid faciet quod non qu&aelig;rit, vt aliud con$equatur: mare</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4186 <p n=>71</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4187 <I>$cilicet mouebit, vt per antiperi$ta$im in$uper recollectum nauim ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4188 parte, qua recolligitur, propellat.</I></P>
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casties
parents:
diff changeset
4189 <P>Eo vbie$t.] <I>Non quidem $emper antror$um iu$t&egrave; ad perpendi-
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casties
parents:
diff changeset
4190 culum: $ed paulo vltra aut citra, pro vt mouens validius: aut imbe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4191 cillius mouet manubrium, &amp; aqua plus, minu$ve renititur pauca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4192 enim &amp; tenuis minus: multa &amp; cra$$a magis renititur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4193 <P>Vbienim remus.] <I>Illu$tratio e$t $ecund&aelig; partis propo$itionis
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diff changeset
4194 primar&yuml; $yllogi$mi vbi</I> <G>plei/shn <+>a/la<+>an tlio\ xw/ phn dioa<+>ei_n.</G> <I>Re-
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diff changeset
4195 mum diuidere plurimum maris dici pote$t duobus modis, vno cum
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diff changeset
4196 palmula profundius ingrediatur mare. Penetrans enim pedes duos
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diff changeset
4197 plus diuidit penetrante vnum: altero cum palmul&aelig; pars intr&agrave; aquam
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diff changeset
4198 in vno remi impul$u maius $patium conficit: vtroque autem modo
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diff changeset
4199 palmula mediani remigis plus diuidit mare qu&atilde; alior&utilde;. Primo enim
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diff changeset
4200 quia pars nauis media e&ograve;, quod depre$$a, reddit $uum $calmum aqu&aelig;
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parents:
diff changeset
4201 valde propinquum, &amp; huius remi pars &agrave; $calmo ad palmulam fere
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diff changeset
4202 tota e$t in aqua. Non ita e$t de $calmis aliorum cum puppis &amp; prora
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parents:
diff changeset
4203 paul&ograve; $ublimiores $int lateribus. De altero dicetur po$tea amplius
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diff changeset
4204 quia rad&yuml; maioris peripheria maior e$t. E$t autem palmula eorum
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diff changeset
4205 qui $unt in medio nauis, qu&aelig; intra aquam, radius maior: quam pal-
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
4206 mula aliorum, &amp; $ic maius $patium peragrat.</I></P>
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parents:
diff changeset
4207 <P>Propter id remiges.] <I>Conclu$io e$t primar&yuml; $yllogi$mi cuns
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diff changeset
4208 repetione cau$&aelig; eiu$dem.</I></P>
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parents:
diff changeset
4209 <P><+></P>
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casties
parents:
diff changeset
4210 <P>6. Potenti&aelig; gubernaculi
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diff changeset
4211 cau$a, &amp; quod nauigi&utilde;
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parents:
diff changeset
4212 magis in contrari&utilde; pro-
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parents:
diff changeset
4213 cedat: quam remi pal-
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parents:
diff changeset
4214 mula.</P>
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parents:
diff changeset
4215 <P><+></P>
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parents:
diff changeset
4216 <P>Cur gubernaculum par-
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parents:
diff changeset
4217 uum quid exi$tens, &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
4218 extrema parte nauigij tan-
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parents:
diff changeset
4219 tam vim habet, vt ab exi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4220 guo temone, &amp; vnius ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4221 minis ctiam propemodum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4222 quie$centis viribus, magn&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4223 <p n=>72</p>
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parents:
diff changeset
4224 <+>
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parents:
diff changeset
4225 nauigior&utilde; moles mouean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4226 tur? An quia gubernacul&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4227 e$t vect is: pondus mare, gu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4228 bernator mouens. Non 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
4229 tem $ec&utilde;dum latitudinem
22d6a63640c6 moved 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 gubernacul&utilde; impellit 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
4231 re, vt remus. Neque 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
4232 nauim mouet in anterio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4233 rem partem: $ed mare in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4234 tran$uer$um accipiens ips&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4235 commotam obliquat. quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4236 enim mare pondus erat ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4237 contrarium incumbens in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4238 clinat nauim. Ip$um 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
4239 hypomochlium in contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4240 rium vertitur, mare 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
4241 intr&ograve;: illud ver&ograve; foras: &amp; il-
22d6a63640c6 moved 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 lud $equitur nauis, quia illi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4243 e$t alligata. Igitur remus
22d6a63640c6 moved 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 $ecundum latitudinem im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4245 pellens pondus, &amp; ab illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4246 contra repul$us in rectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4247 agit: at gubernacul&utilde; qua$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4248 tr&atilde;$uer$um iaceat, in tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4249 uer$um etiam hinc inde motionem facit.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4250 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4251 <P>Po tenti&aelig; guber.] <I>In hoc capite<*> proponuntur tria $pecialia 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
4252 vecte problemata quorum duo $unt de gubernaculo &amp; tertium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4253 de remo. Primum e$t cur gubernaculum, paruum cum $it, magnam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4254 nauig&yuml; molem moueat. Et huic differentia qu&aelig; e$t inter remi &amp; gu-
22d6a63640c6 moved 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 bernaculi motiones $ub&yuml;citur. Secundum cur gubernaculum in puppi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4256 non in medio aut prora nauis collocetur. Tertium cur nauigium an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4257 tror$um plus procedat, quam remi palmula retror$um. Atque h&aelig;ceo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4258 ordine quo propo$ita $unt, di$$oluentur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4259 <foot>Guber-</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4260 <p n=>73</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4261 <P>Gubernaculum.] <I>Gubernaculum remus erat apud antiquos,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4262 $ed multo latioris palmul&aelig;: quamremi, quibus ad latera nauis remi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4263 gabant. Ob id pterigion ab al&aelig; exten$&aelig; $imilitudine vel latitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4264 dicta e$t. Reliqua pars in$tar grandioris pali temo dicitur, qui ad ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4265 tremum in puppi cardinem retentus, conuoluitur ad obliquandum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4266 nauim.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4267 <P>Cur gubernaculum.] <I>Propo$itio e$t problematis in duas 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
4268 tes &agrave; nobis antea $ubdiui$i, vt &amp; Ari$toteles po$tea $ubdiuidendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4269 di$$oluit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4270 <P>Vt ab exiguo temone.] <I>Propo$iti problematis admiratio au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4271 getur, ex parte mouentis quidem tripliciter, quod motor $it vnus ho-
22d6a63640c6 moved 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 mo, $it propemodum nihil agens, Cicero ludentem po$uit, vtatur ad
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casties
parents:
diff changeset
4273 id quod facere vult, exiguo in$trumento nemp&egrave; temone, vt qui $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4274 per breuior $it longi&szlig;imo remorum: ex parte vero rei mot&aelig;, nemp&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4275 totius nauig&yuml;, &amp; omnium, qu&aelig; veh&etilde;da naui impo$ita $unt. Qu&aelig;, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4276 &yuml;s qui viderunt omnia, manife$ti&szlig;ima $unt: ita &yuml;s qui non viderunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4277 incredibilia. pr&aelig;$ertim $i ex antiquorum monumentis repet&atilde;t, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4278 ta &agrave; quibu$dam con$tructa $unt nauigia &egrave; quibus vnum ex Athe-
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casties
parents:
diff changeset
4279 n&aelig;o placet h&icirc;c attexere, vt ex eo di$cant omnes qu&atilde;tam molem vnus
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casties
parents:
diff changeset
4280 homo temone exiguo dimouere po&szlig;it. Longa e$t, $ed vt $pero, omni-
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casties
parents:
diff changeset
4281 bus lectu iuc&utilde;da hi$toria. Recitat igitur Athen&aelig;us Hieron&etilde; Syra-
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casties
parents:
diff changeset
4282 cu$anorum Regem ad naues fabricandum ambitiose<*> animum inten-
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casties
parents:
diff changeset
4283 di$$e, &amp; vnam imprimis memorabilem perfeci$$e, ad quam &aelig;difi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4284 candam, materiam in A Etna monte c&aelig;dendam, indeque deuehen-
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casties
parents:
diff changeset
4285 dam curaui$$e, qu&aelig; $exaginta triremibus conficiendis $atis e$$e potui$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4286 $et. quo dicto nauig&yuml; magnitudinem con&yuml;ciendam nobis reliquit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4287 Ad nauticum autem in$trumentum cum &aelig;s, ferrum, cannabim, reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4288 quaque, quibus opus erat, partim ex Italia, partim ex Iberia, partim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4289 Rhodano flumine compara$$et, trecentos operi f<*> do fabros, arti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4290 fice$que adhibui$$e: ac materi&aelig; dedoland&aelig; pr&aelig;ter admini$tros fabri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4291 c&aelig; $ub$eruientes opific&yuml;s, pr&aelig;fecto $umm&aelig; operis architecto Archia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4292 Corinthio. Quos ip$e cum magnopere hortatus e$$et ad opus aggre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4293 diendum, in$uper etiam dies totos operis $e curatorem, exactoremque
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casties
parents:
diff changeset
4294 pr&aelig;bui$$e: hac diligentia, his artificibus, hoc architecto, Regem ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4295 men illum dimidium tantum nauis intra $ex men$es perfeci$$e. Quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4296 facto inchoatam eo modo nauem in mare deducendam manda$$e: vt</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4297 <foot>K</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4298 <p n=>74</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4299 <I>ill&igrave;c extrem&aelig; manus opificium adipi$ceretur. Hac deducta alteram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4300 nauig&yuml; partem totidem alijs men$ibus Hieronem c&otilde;$umma$$e. Cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4301 interim clauis &aelig;reis denarum librarum plurimis materiam compin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4302 geret, aliquibus etiam $e$quiplis eius ponderis, qui pr&aelig; cra&szlig;itudine.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4303 non alias adigi poterant: quam materia perterebrata. His clauis co$t&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4304 nauis arrectari&aelig; cum a$$amentis tran$uer $ar&yuml;s coagmentat&aelig;, tegulis
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casties
parents:
diff changeset
4305 in$uper plumbeis adactis validius a$tringebantur, quibus etiam $ub
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casties
parents:
diff changeset
4306 ip$is linteola concerpta cum pice infarcta erant. Erat rur$us, inquit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4307 ille, ea nauis apparatu quidem viginti ordinum remigij: &aelig;dificij vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4308 contignatione triplici. Harum infimam contignationem oneri &amp;
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casties
parents:
diff changeset
4309 mercibus delegauerat, ad quam de$cen$us $calis multiplicibus erat:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4310 ad mediam contignationem tran$itus alter erat arte Mechanica fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4311 ctus, in qua ip$a c&oelig;nationes erant numero triginta $ecund&utilde; vtrum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4312 que latus nauigij extruct&aelig;. In ijs lecti quaterni $trati viris accom-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4313 modati: inter quas nauclericum conclaue quinque lectorum capax
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4314 erat. Pr&aelig;terea thalami tres in eadem contignatione erant, culinaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4315 $upradictis locis $ub$eruiens ad puppim &aelig;dificata. Omnes autem $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4316 pradict&aelig; c&oelig;nationes pauimento $trat&aelig; erant te$$ellis vermiculato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4317 lapidis omnis generis. In eo pauimento Troiani belli fabulamentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4318 vi$endo artificio concinnatum legebatur, cum alioquin ea omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4319 &aelig;dificia tectis laqueatis, &amp; po$tibus exornata $pectabili opere e$$ent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4320 Summa pars nauigij gymna$ium habebat ambulatione$que laxas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4321 proportione magnitudinis $u&aelig;, quas etiam ip$as $imul ambientes hor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4322 ti omni genere $tirpi&utilde; complectebantur, fictilibus in va$is &amp; plum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4323 beis con$itorum, $imul heder&aelig; vite$que opacabant pampinis, ac co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4324 rymbis inumbrantes, quarum radices aleb&atilde;t dolia terr&aelig; plena: pari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4325 ter quidem ill&aelig; cum hortis machinamento irrigu&aelig;. Ab his erat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4326 Aphrodi$ium id e$t conclaue Veneri de&aelig; dicatum: in$trumentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4327 etiam ip$um tricl&iacute;<*>ari lecti$ternio, pauimentoque $tratum achate la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4328 pide aly$que var&yuml;s &amp; nitentibus di$tincto. Cuiu$modi lapidum co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4329 pia in Sicilia reperitur. Ac parietes quidem habebat cupre&szlig;inis ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4330 bulis a&szlig;ibu$que contextos, laqueatumque tectum eadem materia. Fo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4331 res etiam ex ebore &amp; odorata materia compactas, atque eo amplius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4332 pictura $igilli$que exornatas. Deinceps erat exhedra quinque lecto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4333 rum capax, quorum parietes po$te$que buxo compacti er&atilde;t, inibique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4334 bibliotheca, &amp; in lacunari $ph&aelig;ra ad imitation&etilde; eius $olarij effecta,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4335 <p n=>75</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4336 <I>quod in Achradina $itum erat, qu&aelig; in$ula e$t Syracu$arum. Huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4337 loco balneum iunctum erat, in quo tres lecti cum $olio metretarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4338 quinque capaci, quod ex lapide vario $calptum erat, &amp; tribus &aelig;neis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4339 Caldarijs. Mitto nunc habitationes militibus de$tinatas: ii$que qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4340 $uper $entinam erant. Mitto equorum pr&aelig;$epia ab vtroque latere na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4341 uigij numero dena $ita cum fr&aelig;nis &amp; $tratis, &amp; omni equitum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4342 $trumento, eorumque mini$terij atque equorum pabulo. Pr&aelig;terea li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4343 gnarium, &amp; clibanos focos, &amp; pi$trina, aliaque mini$teria in proie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4344 cturis nauis prominentia. Quid dicam Athlantes nouen&ucirc;m pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4345 altitudinis certis inter$titiis firmatos, vt $calpturas promin&etilde;tes $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4346 m&aelig; contignati&ograve;nis mutulorum vice fulcirent? Quid turres octo?
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4347 binas in prora &amp; puppi per vtrumque latus extructas, in muri$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4348 propugnacula. Pr&aelig;ter h&aelig;c machina erat in medio cata$tromate $uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4349 tripodes excitata, Archimedis inuentum $axa tritalantaria, telaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4350 mi&szlig;ilia duodeuiginti pedum facile eiaculans ad quadringentos cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4351 bitos, quod $patium e$t $tad&yuml;. H&aelig;c &amp; alia machinamenta propu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4352 gnatoria vt coruos, lupos, &amp; in $ummo malo carche$ia, &aelig;nea lapid&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4353 conceptacula ad lapidationem faciendam in ho$tium nauigia, lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4354 gum e$$et enarrare. Stab&atilde;t enim in vno terni: in al&yuml;s bini aut $ingu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4355 li homines lapides eiaculantes, quos $erui in foris nauis $tantes viti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4356 libus quallis tempore pugn&aelig; $uggerebant trochleis $ubuehentes. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4357 vt &amp; huius nauigij magnitudo va$titas ac onus animo amplius con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4358 cipi po&szlig;it, in$uper adijciam tam multis nonnulla, qu&aelig; Athen&aelig;us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4359 $crip$it ad hoc maxime pertinentia. Erat, inquit, in eodem nauigio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4360 $ecundum proram aqu&aelig; conceptaculum conclu$um capax duorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4361 milium metretarum a$$amentis &amp; pice &amp; linteorum farctura com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4362 pictile, iuxta quod rur$us pi$cina coaxatione &amp; implumbatura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4363 con$tans plena aqu&aelig; marin&aelig;. Ita vt in ea commode magna copia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4364 pi$cium facile aleretur. Idem alibi. frumentum negociatorium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4365 ea naui exportabant ad millia $exaginta: $al$amenta Sicula ad ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4366 dum decem millia: lanarum talenta viginti millia, &amp; alterius mer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4367 cis altera viginti millia, pr&aelig;tere&aacute;que commeatus vectorum nauta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4368 rumque $exaginta millia. Horum omnium onus, cum Bud&aelig;us exqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4369 $it&egrave; per$equitur, comperit $ummam librarum ad quinque &amp; $eptua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
4370 ginta millia excre$cere pr&aelig;ter aquam dulcem, pr&aelig;ter pi$cinam, pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4371 ter tot dietarum inte$tinum in$trumentum, pr&aelig;ter annonam vecto-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4372 <foot>K ij</foot>
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casties
parents:
diff changeset
4373 <p n=>76</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4374 <I>rum, &amp; pabulum equorum, pr&aelig;ter denique onus tanti nauigij. Quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4375 modo igitur non erit admirabile tantam molem vnius hominis vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4376 propemodum quie$centis exiguo temone dimoueri &amp; obliquari: atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4377 h&aelig;c de propo$itione dicta $unto.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4378 <P>An quia gubernaculum.] <I>Solutio e$t primi problematis, $ic.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4379 Vecte magna mouentur pondera.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4380 <P><I>Gubernaculum e$t vectis (in eo enim cardo ad quem alligatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4381 e$t centrum: pondus mouend&utilde; e$t mare: mou&etilde;s gubernator.</I>)</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4382 <P><I>Ergo gubernaculo nauigij moles mouebitur. De hoc na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4383 uis motu pulchre.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4384 <P><I>Vitruuius $ic mentionem facit. Nauis onerari&aelig; maxim&aelig; guber-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4385 nator an$am gubernaculi tenens, quod</I> <G>o)/iae</G> <I>&agrave; Gr&aelig;cis ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4386 pellatur, vna manu momento per centri rationem pre&szlig;ioni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4387 bus artis agitans, ver$at eam ampli&szlig;imis &amp; immanibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4388 mercis &amp; penus ponderibus oneratam.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4389 <P>Pondus mare.] <I>Vtant&egrave; in remis dictum e$t. pondus quod 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
4390 uere intendit gubernator non e$t mare: licet parum impellatur, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4391 nauis. It aque mouet gubernaculum, cuius pterigion lati&szlig;imum intra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4392 aquam, ob eius copiam firmum manet: &amp; $ic temo ad contrariam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4393 partem impul$us $ibi in cardine alligatam nauis puppim impellit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4394 quod etiam paulo po$t Ari$toteles dicet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4395 <P>Non autem $ecundum.] <I>Di&szlig;imilitudo e$t gubernaculi &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4396 remi ex differenti loco ad quem vtrumque nauim mouet. Vtrumque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4397 enim nauim mouet ad locum, qui contrarius e$t ei, ad quem mare im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4398 pul$um mouetur. Mouetur enim nauis ad centri, cui e$t annexa, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4399 tum. Centrum aut&etilde; in remo e$t $calmus, in gubernaculo cardo. Mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4400 uetur hoc contra quam depul$um mare. Mare autem retror$um rect&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4401 &agrave; remo depellitur: mouet igitur remus rect&agrave; antror$um nauim. Con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4402 tr&agrave; mare &agrave; gubernaculo obliqu&egrave; impellitur, vel dextror$um vel $ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4403 $tror$um. Mouet igitur obliqu&egrave; nauim (quod e$t intelligendum 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
4404 puppi non de prora qu&aelig; in partem ad quam mare mouetur) $ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4405 $tror$um, $i illud dextror$um: vel dextror$um, $i illud $ini$tror$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4406 depul$um e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4407 <p n=>77</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4408 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4409 <P>In extremo autem, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4410 in medio po$itum e$t. quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4411 motor, id quodiam moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4412 tur, facillime ab extremo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4413 c&otilde;mouet. Celetrime enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4414 fertur nauis prior 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
4415 Quoniam vt in ijs qu&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
4416 uentur, ad finem latio defi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4417 cit: $ic ip$ius continui in 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
4418 tremo latio imbecillima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4419 e$t. E$t autem imbecillima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4420 facilis repul$u. Propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4421 gubernaculum in puppi $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4422 tum e$t. Et quoniam exi-
22d6a63640c6 moved 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 gua in ea motione 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
4424 multo maior in prora fit in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4425 tercapedo. Angulus enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4426 &aelig;qualis &agrave; maiori $ubtendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4427 tur, &amp; quanto maiores qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4428 angulum comprehenderunt line&aelig;.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4429 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4430 <P>In extremo autem.] <I>Solutio e$t $ecundi problematis duplex,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4431 $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4432 <P><I>Ibi collocandum gubernaculum, vbi per ip$um motor facilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4433 &amp; plus nauim mouere pote$t: &amp; vbi ex minore puppis, mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4434 tatione, maior pror&aelig; mutatio adfertur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4435 <P><I>Sed in puppi gubernaculo collocato gubernator facilius nauim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4436 contorquet, &amp; ex parua puppis mutatione magna pror&aelig; ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4437 fertur mutatio.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4438 <P><I>Ergo in puppi non in medio gubernaculum collocandum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4439 Obid etiam$i e pi$cibus quidam parte anteriori homini &amp; quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4440 pedibus $imiles $unt, vt Trit&otilde;, Nereis, elephas, &amp; vitulus: po$teriore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4441 tamen omnes in caudam bifidam de$inunt, paucis admodum exce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4442 ptis, atque id non ob aliam cau$am quam quod, velut in nauis puppi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4443 temo nauim dirigit: Ita pi$cis iter cauda.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4444 <foot>K iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4445 <p n=>78</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4446 <P>Quia motor.] <I>Syllogi$mi pr&aelig;cedentis propo$itio nec po$ita,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4447 nec illu$trata e$t. quia ex $e euidens. Pro a$$umptione vero h&icirc;c prioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4448 eius partis illu$tratio ponitur, $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4449 <P><I>Non re$i$tentia, aut minus re$i$tentia, mouere facilius e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4450 Vbi autem e$t finis rei mot&aelig; (e$t autem in puppi nauis, non in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4451 eius medio, nec in prora) ibi re$i$tentia vel nulla vel minor.
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casties
parents:
diff changeset
4452 Contra vbi celerrime mouetur, vt in prora, aut celerius, vt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4453 medio, ibi maior e$t.</I></P>
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casties
parents:
diff changeset
4454 <P><I>Ergo in puppi nauim mouere facilius e$t: quam in medio, aut in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4455 prora.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4456 <P>Quoniam vt in ijs.] <I>Similitudo e$t ad illu$trandam pr&aelig;ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4457 dentis $yllogi$mi a$$umptionem, $ic. Quemadmodum eorum qu&aelig; vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4458 feruntur latio ad finem deficit, &amp; imbecillior e$t: $ic continui lati
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diff changeset
4459 extremum imbecillius mouetur.</I></P>
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diff changeset
4460 <P>Et quoniam exigua.] <I>Similis $ententia e$t apud Ari$totelem
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diff changeset
4461 lib. de animalium motu. Nec vero dubium e$t, inquit, quin parua ad-
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diff changeset
4462 modum initio facta mutatione in corpore multiplices &egrave; longinquo
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parents:
diff changeset
4463 varietates $uboriantur, vt cum per temonem paululum tralatum
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diff changeset
4464 long&egrave; diuer$a pror&aelig; po$itio vi$itur. Atque h&aelig;c e$t altera cau$a cur
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diff changeset
4465 gubernaculum in puppi ponitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4466 <P>Angulus enim &aelig;qualis.] <I>Licet oculata alioquin fide perci-
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
4467 piatur quanta &amp; quam euidens nauig&yuml; temone paul&ugrave;m vixque con-
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diff changeset
4468 torto ip$ius pror&aelig; $tatim tran$po$itio multo maior con$equatur: ta-
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diff changeset
4469 men &amp; id geometrica propo$itione confirmatur qu&aelig; imperfecta e$t
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diff changeset
4470 $ed $ic perfici pote$t.</I></P>
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diff changeset
4471 <P><I>Si duo I$o$celia &aelig;qualia angulis, in&aelig;qualium crurum fuerint:
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diff changeset
4472 erunt &amp; in&aelig;qualia</I>
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diff changeset
4473 <fig>
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diff changeset
4474 <I>ba$ibus: &amp; huius ba-
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diff changeset
4475 $is maior, cuius crura
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diff changeset
4476 maiora. Sint A B E
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diff changeset
4477 &amp; A D C duo i$o$-
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diff changeset
4478 celia &aelig;qualia angulis
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diff changeset
4479 qui ad A, &amp; A D
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diff changeset
4480 crus e$to maius crure
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diff changeset
4481 A B $icut &amp; A C
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diff changeset
4482 ip$o A E. Dico ba$im D C maiorem e$$e ba$i B E. Nam quia</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
4483 <p n=>79</p>
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diff changeset
4484 <I>tres anguli vnius triangulorum $unt &aelig;quales tribus alterius prop.
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diff changeset
4485 32. lib. 1. &amp; anguli qui ad A &aelig;quales ex hypothe$i, anguli ad ba-
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diff changeset
4486 $im duo duobus $unt &aelig;quales ax. 3. &amp; quia A D C &amp; A C D
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diff changeset
4487 $unt ad ba$im I$o$celis, &yuml; inter $e erunt &aelig;quales prop. 5. lib. 1. &amp; per
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diff changeset
4488 eandem anguli A B E &amp; A E B. Sicque A E B dimidius
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
4489 cum $it horum duor&utilde;, angulo A C D etiam dimidio &aelig;quali&utilde; &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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diff changeset
4490 lis erit ax. 6. &amp; per idem reliquus reliquo. Sunt igitur A B E &amp;
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
4491 A D C triangula &aelig;quiangula, proinde circum &aelig;quales angulos la-
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
4492 tera habebunt proportionalia. prop. 4. lib. 6. ideo vt A D ad D 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
4493 $ic A B ad B E: &amp; vici&szlig;im vt A D ad A B: $ic D C ba-
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
4494 $is ad ba$im B E prop. 16. lib. 5. E$t autem maius A D ip$o A B
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
4495 ex hypothe$i. Ergo Ba$is D C maior erit ip$a B E. Igitur $i duo
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
4496 I$o$celia &aelig;qualia angulis, in&aelig;qualia cruribus fuerint &amp;c. quod
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
4497 fuit demonstrandum.</I></P>
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
4498 <P><I>Patet igitur ex his quod cum B C $it vt longitudo nauis, $i pup-
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
4499 pis B peruenerit ad E manente A cardine. Tunc C erit in D.
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
4500 Sicque fiunt duo triangula I$o$celia A B E &amp; A D C &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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diff changeset
4501 angulis ad verticem A oppo$itis prop. 15. lib. 1. Et in&aelig;qualia cruri-
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
4502 bus. Namrect&aelig; ab A puncto Cardini re$pondente in ima parte na-
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
4503 uis prop&egrave; puppis extremum ad extremum pror&aelig; id e$t A D, A C
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diff changeset
4504 long&egrave; maiores $unt breui&szlig;imis &yuml;s, qu&aelig; $unt ab eod&etilde; puncto A ad ex-
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
4505 tremum puppis A B, A E. Peragrabit igitur prora D lineam C 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
4506 long&egrave; maiorem, cum B peragrabit B E multo minorem.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4507 <P><+></P>
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parents:
diff changeset
4508 <P>Ex hoc autem manife$t&utilde;
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4509 e$t, ob quam cau$am nauis
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4510 in contrarium magis pro-
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parents:
diff changeset
4511 cedat: quam remi palmula.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4512 Eadem enim moles eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4513 vi mota per aerem plus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4514 quam per aquam progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4515 ditur. Sit enim remus <G>a b</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4516 &amp; $calm^{9} <G>g,</G> &amp; intra nauim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4517 caput remi <G>a</G> palmula intra
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4518 mare <G>b.</G> Si ita que <G>a</G> tran$la-
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diff changeset
4519 t&utilde; $it e&ograve;, vbi e$t <G>d</G>: ip$um <G>b</G>
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4520 <p n=>80</p>
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
4521 <+>
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parents:
diff changeset
4522 <marg>Inclu$a his
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4523 notis [] ni
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parents:
diff changeset
4524 hil faciunt
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parents:
diff changeset
4525 ad rem.</marg>
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parents:
diff changeset
4526 non erit vbi e$t <G>e.</G> E$t enim
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diff changeset
4527 <G>b e</G> &aelig;qualis ip$i <G>a d.</G> Ex
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diff changeset
4528 &aelig;quo ig&iacute;tur tran$latum e$-
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parents:
diff changeset
4529 $et, $ed minus erat. E$t igi-
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diff changeset
4530 tur vbi <G>z.</G> Minor enim e$t
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diff changeset
4531 <G>b z</G>: qu&atilde; <G>a d.</G> Itaque 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
4532 <G>q z</G> quam <G>d q.</G> Similia enim
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diff changeset
4533 $unt triangula. Con$i$tens
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diff changeset
4534 vero erit medium vbi e$t <G>g.</G>
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diff changeset
4535 In contrarium enim extre-
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parents:
diff changeset
4536 mo <G>b,</G> quod in mari e$t
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diff changeset
4537 procedit extrem&utilde; <G>a,</G> quod
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4538 in nauigio e$t. Non autem
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diff changeset
4539 ad <G>d</G> procederet, ni$i mo-
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diff changeset
4540 ueretur nauis, &amp; eo vbi e$t
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4541 caput remi, transferretur.</P>
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4542 <head>COMMENTARIVS.</head>
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diff changeset
4543 <P>Ex hoc autem.] <I>Hic continetur tertium &egrave; tribus, qu&aelig; hoc
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parents:
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4544 capite diximus contineri problemata. E$t autem eiu$modi. An
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diff changeset
4545 nauis plus antror$um vehitur: qu&atilde; palmula remi retror$um. Re$pon-
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diff changeset
4546 det Ari$toteles plus vehi nauem antror$um. Cau$am dicit. quia ea-
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diff changeset
4547 dem moles eadem vi mota plus per medium rarum fertur: quam per
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parents:
diff changeset
4548 den$um. Contra quam rationem duo occurrunt aliena. Prius quod
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casties
parents:
diff changeset
4549 moles non e$t eadem nauis &amp; remi palmul&aelig;: alterum quod vnum
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diff changeset
4550 idemque e$t medium vtriu$que nempe aqua. E$t enim pars nauis im-
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diff changeset
4551 mer$a aqu&aelig;, qu&aelig; mouetur, vt &amp; palmula. Dicemus igitur vt ratio
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diff changeset
4552 Ari$totelis concludat duo a$$umenda e$$e. Primum eandem molem,
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diff changeset
4553 aut &aelig;quales moles intelligere Ari$totelem remi caput, &amp; palmu-
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diff changeset
4554 lam: vel partem remi &agrave; $calmo ad caput: &amp; partem eiu$dem &agrave; $calmo
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diff changeset
4555 ad palmulam. Has enim videtur h&icirc;c pr&aelig;$upponere &aelig;quales longitu-
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diff changeset
4556 dine, $calmo remum bifariam $ecante: $in minus pondere: ad &aelig;quali-
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diff changeset
4557 brium enim cum pars palmul&aelig; maior e$t, caput implumbatur vt
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diff changeset
4558 &aelig;quiponderet. Et $ic cum remus vnius vel plurium remigum viri-
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diff changeset
4559 bus mouetur, caput per a&euml;rem, palmula per aquam: $icque per diuer$a</I>
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diff changeset
4560 <foot><I>media,</I></foot>
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diff changeset
4561 <p n=>81</p>
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diff changeset
4562 <I>media, mouentur. Et $ic ex ratione Ari$totelis, $i vera e$t, caput remi
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diff changeset
4563 plus antror$um mouebitur quam palmula retror$um. Alterum quod
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diff changeset
4564 a$$umendum. e$t nauim tantum antror$um moueri: quantum &amp; re-
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diff changeset
4565 mi caput. Quod $i verum e$$et $tatim conclu$io h&aelig;c manife$ta
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diff changeset
4566 e$$et.</I></P>
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diff changeset
4567 <P><I>Ergo nauis plus antror$um mouetur: quam remi palmula re-
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diff changeset
4568 tror$um.</I></P>
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diff changeset
4569 <P><I>Syllogi$mus igitur $ic e$to,</I></P>
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diff changeset
4570 <P><I>Quantum caput remi antror$um mouetur: tantum &amp; nauis.
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diff changeset
4571 Sed caputremi plus antror$um mouetur: quam palmulare-
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diff changeset
4572 tror$um.</I></P>
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parents:
diff changeset
4573 <P><I>Ergo nauis plus antror$um mouetur: quam palmula retror$um.</I></P>
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parents:
diff changeset
4574 <P><I>Huius $yllogi$mi propo$itio $ine confirmatione de$erta e$t ab Ari-
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diff changeset
4575 $totele. Etiam$i principi&utilde; non $it. Ob id quid veritatis habeat po$tea
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parents:
diff changeset
4576 di$cutiemus. A$$umptionis confirmatio pendet ab eo quod cum caput
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diff changeset
4577 &amp; palmula remi $int eadem moles eadem vi mota, illud tamen per
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parents:
diff changeset
4578 a&euml;rem: h&aelig;c per aquam medium a&euml;re den$ius, moueatur. Qu&aelig; 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
4579 veri&szlig;ima e$t in &yuml;s, qu&aelig; $eor$um mouentur, vt $i remus totus 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
4580 a&euml;rem, &amp; totus per aquam ferretur eadem vi, dubium non e$t quin
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parents:
diff changeset
4581 citius, &amp; plus per a&euml;rem, quam per aquam, ob maiorem in aqua re$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
4582 $t&etilde;tiam feratur. At remus vnus e$t, $ed $uperficie aqu&aelig; $ectus, qua$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
4583 duo $int ita capi pote$t. Et certum e$t quod $i imaginemur vim ean-
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parents:
diff changeset
4584 dem in capite atque in palmula mouenda cum h&aelig;c intra aquam, illud
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parents:
diff changeset
4585 extra $it, quod plus prouehetur illud: quam h&aelig;c.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4586 <P>Sit enim remus.] <I>Confirmatio e$t geometrica a$$umptionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4587 pr&aelig;cedentis $yllogi$mi vbi pr&aelig;$upponit Ari$toteles moueri nauim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4588 antror$um. vnde infert caput remi ab eo loco, in quo erat ante remi-
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parents:
diff changeset
4589 gationem, ad alium transferri. Ergo</I> <G>a</G> <I>caput remi tran$latum $it ad</I>
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parents:
diff changeset
4590 <G>d.</G> <I>Quo autem tempore</I> <G>a</G> <I>tran$latum e$t ad</I> <G>d,</G> <I>palmula</I> <G>b</G> <I>non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4591 transfertur ad</I> <G>e</G><I>: alioqui &aelig;qualiter moueretur palmula atque caput,
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parents:
diff changeset
4592 contra ea qu&aelig; ante po$ita $unt. Intelligatur enim remus</I> <G>a b</G> <I>vbi e$t</I>
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parents:
diff changeset
4593 <G>d e,</G> <I>$calmo</I> <G>g</G> <I>manente. fiunt duo triangula</I> <G>a g d &amp; b g e,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4594 <I>quorum anguli quiad</I> <G>g,</G> <I>quia ad vertic&etilde; oppo$iti, $unt &aelig;quales prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4595 15. lib. 1. Tum latera, qu&aelig; ip$os continent</I> <G>a g, d g,</G> <I>duobus</I> <G><+> g,
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
4596 <*> g</G> <I>$unt &aelig;qualia, quia partes $unt dimidi&aelig; eiu$dem remi</I> <G>a b</G> <I>ax. 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
4597 eruntigitur ba$es</I> <G>a d, b e</G> <I>&aelig;quales, vt reliqui anguli prop. 4. lib. 1.</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
4598 <foot>L</foot>
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parents:
diff changeset
4599 <p n=>82</p>
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parents:
diff changeset
4600 <I>Et $ic palmula perducta ad</I> <G>e</G> <I>cum</I> <G>a</G> <I>caput prouectum e$$et ad</I> <G>d</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4601 <I>&aelig;qualiter moueretur, $ed in i$to ca$u</I> <G>g</G> <I>$calmo manente nauis immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4602 ta e$$et, c&utilde; tamen prouecta e$$e $upponatur. Intelligatur igitur mini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4603 m&ugrave;m, vt ad</I> <G>z</G> <I>e$$e perducta palmula</I> <G>b.</G> <I>Ex hoc rur$us c&otilde;cludit Ari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4604 $toteles ex figura &agrave; Victore Fau$to &amp; ab al&yuml;s pa&szlig;im rectam</I> <G>d q</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
4605 <I>maiorem e$$e: quam</I> <G>q z.</G> <I>Et ita e$$e o$tendamus, quia duorum trian-
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parents:
diff changeset
4606 gulorum</I> <G>a q d &amp; b q z</G> <I>anguli, qui ad</I> <G>q</G> <I>ad verticem oppo$iti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4607 $unt &aelig;quales prop. 15. lib. 1. tum</I> <G>q a d</G> <I>&aelig;qualis e$t</I> <G>q b z</G> <I>vel quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4608 $unt alterni facti &agrave; recta</I> <G>a b</G> <I>incidente in parallelas</I> <G>a d, <+> e.</G> <I>Ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4609 pr&aelig;cedenti dem&otilde;$tratione. Ergo reliquus</I> <G>q d a</G> <I>reliquo</I> <G>b z q</G> <I>&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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diff changeset
4610 lis erit prop. 32. lib. 1. Et $ic triangula</I> <G>a q d &amp; b q z</G> <I>$unt &aelig;quian-
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parents:
diff changeset
4611 gula, proinde &amp; circum &aelig;quales angulos latera proportionalia prop.
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casties
parents:
diff changeset
4612 4. lib. 6. E$t igitur vt</I> <G>a q</G> <I>ad</I> <G>q d</G>: <I>$ic</I> <G>b q</G> <I>ad</I> <G>q z,</G> <I>&amp; vici&szlig;im
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
4613 prop. 16. lib. 5. vt</I> <G>a q</G> <I>ad</I> <G>q b</G>: <I>$ic</I> <G>d q</G> <I>ad</I> <G>q z.</G> <I>E$t aut&etilde;</I> <G>a q</G> <I>maior:
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diff changeset
4614 quam</I> <G>q b,</G> <I>quia</I> <G>a b</G> <I>erat bi$$ecta in</I> <G>g,</G> <I>&amp; detracta e$t de dimi-
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diff changeset
4615 dia</I> <G>g b</G> <I>portio</I> <G>q g,</G> <I>qu&aelig; additur ip$i dimidi&aelig;</I> <G>a g.</G> <I>E$t igitur</I>
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diff changeset
4616 <G>d q</G> <I>maior quam</I> <G>q z.</G></P>
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4617 <P><I>Hoc autem quanquam verum $it, quor$um tamen, dubium e$t.
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diff changeset
4618 Exi$timauit Nonius ide&ograve; h&icirc;c po$itum e$$e, vt o$tendatur B per remi-</I>
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4619 <fig>
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parents:
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4620 <I>gationem factam, non e$$e
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4621 in E: $ed vltra vt in K,
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parents:
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4622 vnde nouam hane de$cri-
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4623 bit figuram. qua demon-
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4624 $trat cum A caput remi
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parents:
diff changeset
4625 remigatione facta e$t in
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4626 D, palmulam B remi A
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4627 B e$$e non in E: $ed in K
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parents:
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4628 vltra E. Nihilominu$que
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parents:
diff changeset
4629 B K motum palmul&aelig; B
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4630 retror$um minorem e$$e A
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4631 D motu capitis A an-
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4632 tror$um, $ecundum $enten-
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4633 tiam Ari$totelis. Et $ic
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diff changeset
4634 Nonius remigatione facta
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4635 &amp; tran$uecta naui ponit
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diff changeset
4636 $calmum C tran$uectum e$$e in T: vel ex $uperiori Victoris figura</I>
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4637 <p n=>83</p>
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diff changeset
4638 <I>ex</I> <G>g</G> <I>in</I> <G>q.</G> <I>Sed $i $ice$$et, T idem $calmus qui C, propior cum $it
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diff changeset
4639 aqu&aelig;: quam ip$e C, $equeretur vt in vnius remigationis principio,
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4640 medio, fine nauis plus &amp; minus mergeretur. quod $i quando fiat, fit
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4641 exaccidenti, nec citra naufrag&yuml; periculum: imo vero $ic non tam
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4642 nauis ferretur antror$um: quam in profundum. At contr&agrave; latum
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4643 pro$per&egrave; nauigium $eruat eundem $calmum, $eu $pondam $uam $em-
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4644 per &aelig;quidi$tantem aqu&aelig;, ni$i quod verius e$t, arcum peripheri&aelig;, $ed
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4645 non $implicem, vt po$tea docebimus, de$cribat, cuius extrema $unt in
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4646 $uperficie aqu&aelig;.</I>
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4647 <fig>
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4648 <I>vt, $it $ponda
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4649 nauis G H, &amp;
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4650 $calmus C, cui
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4651 alligatus remus
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4652 per medium $it
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4653 A B exi$tens in
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4654 principio remi-
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4655 gationis, &amp; in
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4656 fine $it vbi D E,
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4657 tran$lato C per
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4658 motum nauigij
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4659 impul$i in T:
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diff changeset
4660 $icque motionis
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4661 intra aquam pal-
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4662 mul&aelig; B $patium erit B E: nauigij vero erit C T: tum capitis
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4663 remi A erit A D. Et quidem cum anguli qui ad E $int $emper
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4664 &aelig;quales prop. 15. lib. 1. Ba$es erunt &aelig;quales, $i triangula fiant &aelig;qui
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4665 crura, $i iniquicrura, illius trianguli ba$is erit maior, cuius latera
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diff changeset
4666 angulum continentia $unt maiora, vt antea ostendimus. H&aelig;cigi-
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4667 tur cum expendo cogor aliud $entire quam Nonius licet timid&egrave; (quia
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diff changeset
4668 viro huic propter $cientiam pr&aelig;$tantem, &amp; quod in loco natus $it,
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diff changeset
4669 vixeritque ad nauigandum opportuni&szlig;imo, mult&ograve; plura quam mihi
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diff changeset
4670 tribuere $oleo) dicam tamen quod $entio nempe conclu$ionem i$tam</I>
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diff changeset
4671 <G>d q</G> <I>maiorem e$$e</I> <G>q z,</G> <I>pertinere e&ograve;, vt inferatur caput remi A
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diff changeset
4672 tran$uecti non con$i$tere in</I> <G>d</G>: <I>$ed vltra. vt in figur&aelig; no$tr&aelig; pun-
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parents:
diff changeset
4673 cto F. Sicque caput A multo anterius latum erit, quam B retr&ograve;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4674 E$t enim A F maior quam A D axiom. 9. qu&aelig; demon$trata e$t</I>
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diff changeset
4675 <foot>L ij</foot>
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diff changeset
4676 <p n=>84</p>
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4677 <fig>
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parents:
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4678 <I>e$$e maior ip$a B E: $ic
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4679 etiam C $calmus erit in O,
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4680 &aelig;quedi$tanter cum C ab
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4681 aqua. quod fieri oportet in
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4682 artificio$a &amp; pro$pera na-
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4683 uigatione. An $ic rect&egrave;
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parents:
diff changeset
4684 $entiamus aliorum e$to iu-
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4685 dicium: $ed in hoc conueni-
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4686 mus cum Nonio quod remi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4687 motus in vna remigatione
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4688 duplex e$t: proprius, &amp; alie-
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parents:
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4689 nus: &amp; ille quidem circularis circa $calmum tanquam centrum,
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diff changeset
4690 cuius motus $calmus expers e$t: hic vero contingit &amp; ob motum
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4691 $calmi delati vna cum nauigio. Et quod totus motus remi ex his duo-
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parents:
diff changeset
4692 bus maior e$t motu nauig&yuml;. Sed &amp; c&aelig;tera qu&aelig; in hoc problema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4693 animaduertit &amp; annotauit Nonius. H&icirc;c $ub&yuml;ciemus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4694 <P><I>Primum dicit Ari$totelis ratiocinationem ob$curam e$$e.</I></P>
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parents:
diff changeset
4695 <P><I>Deinde Ari$totelem a$$umere duo quorum alterum e$t.</I></P>
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parents:
diff changeset
4696 <P><I>Palmulam retrocedere quoties nauis in anteriora progreditur.</I></P>
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parents:
diff changeset
4697 <P><I>Alterum e$t $calmum bi$$ecare remum.</I></P>
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parents:
diff changeset
4698 <P><I>In$uper Nonius a$$erit nauim interdum maius $patium percurrere:</I>
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parents:
diff changeset
4699 <fig>
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parents:
diff changeset
4700 <I>quam caput remi: interdum minus, iuxta
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parents:
diff changeset
4701 remigum vires, &amp; provt mariremi pal-
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parents:
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4702 mula immer$a fuerit: Qu&aelig; omnia vt con-
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parents:
diff changeset
4703 $picua fiant, demon$trat quinque $equ&etilde;tes
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parents:
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4704 propo$itiones.</I></P>
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parents:
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4705 <head>Propo$itio prima.</head>
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4706 <P><I>Remigibus nauim mouere potentibus
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4707 caput remi plus antror$um mouetur: qu&atilde;
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parents:
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4708 nauis. Sit remus A C, caput A, $cal-
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4709 mus B, qui propter nauis motum percur-
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parents:
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4710 rat $patium, quod e$t &agrave; B in D, in quo
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4711 loco remus A C $itum rectitudinis ha-
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4712 beat E F: &amp; $ic $patium quod A con-
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4713 ficit curua $it linea A E, cui recta linea
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4714 A E re$pondeat in rectam E F perpen-</I>
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4715 <p n=>85</p>
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4716 <I>dicularis. Nauis vero idem interuallum conficiet quod $calmus B.
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4717 Dico igitur rectam A E maiorem e$$erecta B D. Secet enim re-
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parents:
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4718 cta A C rectam E F in G. Quia igitur A G E, &amp; B G D
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4719 triangula $unt &aelig;quiangula, erit $icut A G ad B G: $ic A E
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4720 ad B D prop. 4. lib. 6. Maior e$t autem A G ip$a B G, ax. 9.
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parents:
diff changeset
4721 Erit igitur A E maior quam B D. Itaque caput remi A maius
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parents:
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4722 percurrit $patium: quam nauis. quod erat demon$trandum.</I></P>
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diff changeset
4723 <fig>
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diff changeset
4724 <P><I>Quod $i per punctum B rectam duca-
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diff changeset
4725 mus H K &aelig;qualem remo, &amp; ad rectos
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diff changeset
4726 cum recta B D, &amp; in$uper $ecantem A</I>
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parents:
diff changeset
4727 3 <I>in puncto I, manife$t&egrave; intelligemus
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casties
parents:
diff changeset
4728 ip$am rectam A E (qu&aelig; e$t totus motus
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parents:
diff changeset
4729 capitis remi in vna remigatione) con$tare
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diff changeset
4730 ex A I, &amp; I E, quarum prior re$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
4731 det curu&aelig; A H de$cript&aelig; per capitis remi
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casties
parents:
diff changeset
4732 motum proprium: po$terior vero &aelig;qualis
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parents:
diff changeset
4733 e$trect&aelig; B D ($unt enim latera parallelo-
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parents:
diff changeset
4734 grammi oppo$ita prop. 34. lib. 1.) qu&aelig; motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4735 nauis decur$a e$t.</I></P>
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parents:
diff changeset
4736 <P><I>Et quia Nonius $ine demon$tratione a$-
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casties
parents:
diff changeset
4737 $umit nauim tant&ugrave;m decurrere, quant&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
4738 $calmus, id quoque demonstremus. quia ad
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
4739 $equentia etiam vtile e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4740 <P><I>Ante remigationem remi existentis in $calmo B $it nauis prora C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4741 po$t remigationem $it B</I>
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parents:
diff changeset
4742 <fig>
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parents:
diff changeset
4743 <I>in E &amp; prora in D $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
4744 que C D erit nauis pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4745 motio, &amp; B E $calmi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4746 Dico igitur C D &amp; B E &aelig;quales, quia reliqu&aelig; $unt ex &aelig;qualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4747 B C, E D dempto communi E C axio. 3. Ergo nauis tant&ugrave;m 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
4748 currit quant&ugrave;m $calmus.</I></P>
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parents:
diff changeset
4749 <head>Propo$itio $ecunda.</head>
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parents:
diff changeset
4750 <P><I>Capite remi motu proprio, &amp; naui &aelig;qualiter motis, palmula 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
4751 mota veluti centrum manet: &amp; palmula immota, caput remi &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
4752 nauis &aelig;qualiter mota $unt.</I></P>
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parents:
diff changeset
4753 <foot>L iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4754 <p n=>86</p>
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parents:
diff changeset
4755 <fig>
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parents:
diff changeset
4756 <P><I>Remus in principio motus habeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4757 po$itionem A B C, ducaturque 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
4758 punctum C, in quo remi palmula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4759 recta C G rectos efficiens angulos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4760 in puncto G cum recta per quam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4761 motum nauis $calmus B mouetur. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4762 eadem recta C G producatur v$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4763 ad E, ita vt G E $it &aelig;qualis rect&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4764 B A (qu&aelig; e$t dimidium remi) 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
4765 $us per punctum B ducatur recta Q
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4766 B F ad rectos cum ip$a B G, &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
4767 Q B F incidant perpendiculares 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
4768 Q C F. Quoniam igitur triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4769 lorum A B Q &amp; F B C anguli,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4770 qui ad B ad verticem oppo$iti $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
4771 &aelig;quales, prop. 15. lib. 1. &amp; anguli qui ad Q &amp; F recti $unt, tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4772 latus A B lateri B C, $unt enim dimidia remi, &aelig;quale e$t, erit &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
4773 latus A Q &aelig;quale lateri F C prop. 26. lib. 1. Ip$i autem F C recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4774 B G, latus parallelogrammi oppo$itum, &aelig;qualis e$t prop. 34. lib. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4775 A Qigitur erit &aelig;qualis ip$i B G ax. 1. Atque tantum $patium 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
4776 $calmus: quantum nauis. ex antec. Et nauis tantum confecit quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4777 tum A caput remi ex hypothe$i. A autem conficit $patium A 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
4778 Igitur B $calmus conficiet $patium B G. Et quia anguli ad G
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4779 recti $unt, ideo cum $calmus peruenerit ad G, habebit remus 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
4780 rectitudinis $itum E C, quo in loco illius remigationis finis erit. Sic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4781 igitur palmula C &agrave; loco $uo dimota non fuit, quod demon$trandum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4782 erat. C&aelig;terum Nonius h&icirc;c aduertitrectam G C minorem e$$e B C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4783 remi dimidio, pro quantitate C T. Vnde concludit quo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4784 $calmus B transfertur in G, palmulam quidem C excurrere in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4785 ip$am longitudinem C T. Sed neque antror$um neque retror$um,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4786 quod Ari$toteles puto vocauit ant&egrave;, palmulam diuidere mare, quod
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parents:
diff changeset
4787 $olum demon$trare intendebat. vbi etiam aduertes lector ex hoc dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4788 grammate Non&yuml; &amp; c&aelig;teris lineam A L E &agrave; capite remi in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4789 remigatione de$criptam, non e$$e $implicem arcum: $ed duos, vnum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4790 A L ex motu proprio remi circa B centrum: alterum L E ex motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4791 con$equente $calmi B motum. quod pulchr&egrave; con$entit cum his qu&aelig;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4792 <p n=>87</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4793 <I>unt&egrave; diximus de remi in vna remigatione varijs motibus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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4794 <head>Propo$itionis conuer$io</head>
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parents:
diff changeset
4795 <P><I>Manife$ta e$t, quia $i remi palmula dimota non fuerit &agrave; loco $uo,
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parents:
diff changeset
4796 ibique tandiu per$i$tat, donec remus $itum rectitudinis obtineat, tan-
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casties
parents:
diff changeset
4797 tum $patium conficiet caput remi motu proprio: quantum nauis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4798 Recta enim C F &aelig;qualis e$t A Q prop. 26. lib. 1. &aelig;qualis 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
4799 B G prop. 34. lib. 1. igitur A Q &amp; B G &aelig;quales erunt ax. 1.</I></P>
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parents:
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4800 <head>Propo$itio tertia.</head>
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parents:
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4801 <P><I>Capite remi proprio motu conficiente $patium duplum $pat&yuml; nauis:
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parents:
diff changeset
4802 tunc nauis tant&ugrave;m promouebitur, quant&ugrave;m palmula retrocedet.</I></P>
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parents:
diff changeset
4803 <fig>
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parents:
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4804 <P><I>Remus incipiente motu $it A C,
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casties
parents:
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4805 de$inente vero habeat rectitudinis
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casties
parents:
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4806 $itum F G. Et $ic $calmus B pro-
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parents:
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4807 pter nauis motum conficiet interual-
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casties
parents:
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4808 lum B D. Excitetur igitur &agrave; puncto
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casties
parents:
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4809 B in vtramque partem perpendicu-
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casties
parents:
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4810 laris E E, prop. 11. lib. 1. In quam
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casties
parents:
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4811 perpendiculares incidant &agrave; punctis
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casties
parents:
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4812 A &amp; C, qu&aelig; $int A E, C E prop.
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casties
parents:
diff changeset
4813 12. lib. 1. Et $it interuallum A E
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parents:
diff changeset
4814 quod e$t decur$um &agrave; capite remi A
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parents:
diff changeset
4815 proprio motu, duplum interualli B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4816 D, &amp; recta linea C H re$pondeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4817 curu&aelig; C G &agrave; remi palmula de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4818 pt&aelig;. Dico rectas lineas B D, C H
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4819 &aelig;quales e$$e. Nam triangulorum B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4820 A E &amp; C B E rect&aelig; A E, C E prop. 26. lib. 1. &amp; in parallelo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4821 grammo B H rect&aelig; oppo$it&aelig; B D, E H etiam &aelig;quales prop. 34.
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parents:
diff changeset
4822 lib. 1. Atqui recta A E dupla e$t rect&aelig; B D ex hypothe$i. Dupla
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parents:
diff changeset
4823 igitur &amp; C E rect&aelig; H E, quapropter C H &amp; E H &aelig;qual<*>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
4824 erunt ax. 7. Et $ic C H &amp; B D &aelig;quales $unt ax. 1. Et quia nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4825 tantum interualli decurrit $emper: quantum $calmus. Ex antec. igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4826 tur $i caput remi motu proprio duplum confecerit ip$ius nauis 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
4827 ualli, tant&ugrave;m prouehetur nauis: quant&ugrave;m palmula retrocedet. quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4828 demon$trandum erat.</I></P>
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casties
parents:
diff changeset
4829 <p n=>88</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4830 <head>Propo$itionis conuer$io.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4831 <P><I>Naui &aelig;qualiter prouecta, atque palmula retroce&szlig;it: motus capitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4832 remi proprius duplus e$t motus nauis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4833 <P><I>Si enim C H &aelig;qualis ponatur B D, quoniam eidem B D &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
4834 lis e$t H E in parallelogrammo, &aelig;quales igitur erunt C H &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
4835 H E ax. 1. Et $ic dupla erit C E ip$ius H E: &amp; eadem C E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4836 dupla ip$ius B D. &aelig;quales porro $unt C E &amp; A E prop 26. lib. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4837 Dupla ergo erit A E rect&aelig; B D. $ed recta A E decur$a e$t &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
4838 pite remi, &amp; B D &agrave; $calmo, quant&ugrave;m autem prouehitur $calmus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4839 tant&ugrave;m &amp; nauis. Igitur $i nauis tant&ugrave;m fuerit prouecta, quant&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
4840 remi palmula retroce&szlig;it, duplum conficit caput remi motu proprio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4841 eius interualli, quod nauis conficit. quod fuit demon $trandum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4842 <head>Propo$itio quarta.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4843 <P><I>Nauis decurrens minus $patium: quam caput remi decurrat: maius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4844 tamen eius dimidio: magis prouehitur: quam palmula retrocedat:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4845 minus autem dimidio: minus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4846 <P><I>In po$tremo diagrammate ponatur B D minor, quam 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
4847 $ed eius dimidio maior. Dico quod ip$a B D maior e$t, quam C H.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4848 Nam B D &amp; H E &aelig;quales $unt, adh&aelig;c A E &amp; C E &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
4849 les $unt. maior igitur erit H E dimidio ip$ius A E. quapropter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4850 reliqua C H minor dimidio erit eiu$dem A E. Et minor igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4851 erit C H quam B D. Interuallum autem B D, id e$t quod nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4852 confecit, interuallum vero C H remi palmula in contrarium 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
4853 currit. Ideo prior pars theorematis vera. Po$terior autem $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4854 o$tendetur. Si enim B D minor e$t dimidio ip$ius A E, minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4855 igitur erit &amp; H E dimidio eiu$dem A E. Et quoniam A E &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
4856 C E &aelig;quales $unt. Reliqua igitur C H dimidio eiu$dem A 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
4857 maior erit. Et proinde minor erit B D quam C H. Nauis 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
4858 minus interuallum decurret in anteriora: quam remi palmula in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4859 contrarium. quod fuit demon$trandum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4860 <head>Corollarium.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4861 <P><I>Hinc &amp; ex pr&aelig;cedenti infertur, quod $i caput remi motu 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
4862 prio decurrat interuallum maius, quam nauis, $iue duplum, $iue du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4863 plo minus, $iue maius: $emper interuallum nauis adiuncto ei quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4864 palmula retroce$$erit, &aelig;quale erit ei, quod &agrave; capite remi motu proprio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4865 conficitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4866 <foot><I>Semper</I></foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4867 <p n=>89</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4868 <P><I>Semper enim B D &aelig;qualis e$t H E: tota vero C E qu&aelig; &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4869 lis e$t A E ex$uis con$tabit partibus C H, H E.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4870 <head>Propo$itionis conuer$io.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4871 <P><I>Nauis longius progrediens: quam remi palmula retrocedat, inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4872 uallum conficit maius dimidio eius, quod motu proprio remi caput
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4873 decurrit: $i minus: minus etiam dimidio.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4874 <P><I>Huius demon$tratio ex pr&aelig;dictis facilis e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4875 <head>Propo$itio quinta.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4876 <P><I>Naui celerius mota quam caput remi: palmula antror$um moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4877 bitur, nec quicquam retrocedet, idque $pat&yuml; decurret quo nauis motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4878 motum capitis remi $uperat.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4879 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4880 <P><I>Habeat remus inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4881 piente motu po$itionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4882 A C: de$inente vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4883 $it&utilde; rectitudinis F G.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4884 Scalmus igitur B pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4885 pter nauis motum tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4886 latus erit in D. Sit ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4887 que interuallum B D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4888 maius: qu&atilde; A H, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4889 e$t &agrave; capite remi motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4890 proprio decur$um. Sic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4891 enim celerius dicetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4892 ferri nauis quam caput
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4893 remi. Dico quod palmu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4894 la C in vlteriora mouebitur. Nam cum $calmus B prouectus fue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4895 rit in D, tran$lata erit ip$a palmula A C, vbi G in rectitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4896 $itu, interuallumque conficiet C G curuilineum, cui re$pondet C K.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4897 Mouebitur igitur palmula in anteriora. Nihil autem vnquam re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4898 trocedere o$tendetur in hunc modum. Eadem celeritate mouentur A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4899 in H, &amp; C ver$us E circa $calmum. Atqui per hypothe$im cele-
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casties
parents:
diff changeset
4900 rius fertur nauis: quam C ver$us E. Et mouetur idem C ip$a nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4901 celeritate ver$us K. celerius igitur feretur C ad K: quam ad E.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4902 quapropter nihil vnquam retrocedet ip$um C. Imo vero in vlte-
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casties
parents:
diff changeset
4903 riora progredietur, interuallumque decurret C K, quod quidem re-
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
4904 linquitur, detracto E C ex E K. Si enim remi palmula tota ip$a</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
4905 <foot>M</foot>
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casties
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diff changeset
4906 <p n=>90</p>
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diff changeset
4907 <I>nauig&yuml; celeritate moueretur, vltra k progrederetur, cum B perue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4908 niret ad D: $ed retrahitur interim, propter eum motum, qui fit cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4909 ca B. Sic igitur palmul&aelig; celeritate, qu&aelig; &agrave; motu nauig&yuml; prouenit, re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4910 tardata, decur$um interuallum erit C K. Videtur autem $olo remo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4911 rum impul$u hoc fieri non po$$e: $ed alia in$uper virtute impellente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4912 opus e$$e: vt vento, vel impetu e&ograve; fluentis aqu&aelig;.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4913 <P><I>Atque ex his theorematis concludit Nonius Ari$totelem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4914 fus&egrave; propo$ui$$e hoc problema, cum non di$tinxerit inter motum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
4915 mi proprium, &amp; motum &agrave; naui tran$lata ei aduenientem. Concludit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4916 etiam hac di$tinctione po$ita Ari$totelem in$cit&egrave;, &amp; fals&ograve; proble-
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parents:
diff changeset
4917 mati $atisfeci$$e. Quandoquidem non continu&ograve; $i nauis in anteriora
22d6a63640c6 moved 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 moueatur, remi palmula retrocedet: neque $i retrocedat, minus inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4919 uallum in contrarium tran$naittet: quam nauis progrediatur, vt 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
4920 $ecunda &amp; tertia propo$itionibus liquet: pr&aelig;tered cum caput remi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4921 motu proprio, qui circa $calmum fit, vn&acirc; cum nauis motu, maius 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
4922 teruallum conficiat: quam nauis, $olo autem proprio motu, $i contin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4923 gat tantum interuallum conficere: quantum nauis, fieri non po&szlig;it, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4924 palmula moueatur: fru$tr&agrave; Ari$toteles conatus e$t in vniuer$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4925 o$tendere remi caput maius $patium decurrere: quam palmulam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4926 contrarium. Po$tremo cum nauis longius progreditur: quam palmula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4927 regreditur: minus quo que interuallum decurrit: quam caputremi, &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
4928 $ic non &aelig;quale. Atque h&aelig;c cum $int $uis veris demon$trationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4929 $tabilita Ari$totelem in hoc problemate dormita$$e, quod aliquando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4930 bono Homero contingit, conuincunt.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4931 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4932 <P>Id etiam ip$um facit gu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4933 bernaculum, ni$i quod 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
4934 terius non mouet nauim:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4935 vt antea dictum e$t: $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
4936 hinc vel hinc puppim $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
4937 lum in tran$uer$um pellit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4938 Sic enim in c&otilde;trari&utilde; prora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4939 vergit. Vbi igitur guberna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4940 cul&utilde; adi&utilde;ct&utilde; e$t, ibi opor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4941 tet aliquod eius, quod mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4942 uetur medi&utilde; intelligere, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4943 <p n=>91</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4944 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4945 qualis e$t $calmus remo:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4946 Illud vero medium proce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4947 dit, quo temo transfertur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4948 Si quidem intror$us agat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4949 etiam puppis e&ograve; transfer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4950 tur, prora ver&ograve; in 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
4951 trarium nutat. In eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4952 enim exi$tente prora, nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4953 tota transfertur.</P>
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
4954 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4955 <P>Id etiam im$um.] <I>Ari$toteles a$$erit gubernaculum idem 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
4956 cere quod remus. Id e$t temonem plus progredi: quam pterigion.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4957 Quod $i e$t, animaduertend&utilde; in gubernaculo duos ine$$e motus, vt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4958 remo, proprium $cilicet, &amp; alienum. Et cum $imili modo quo remus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4959 veniat in v$um, omnia qu&aelig; de remo antea ex Nonio ob$eruauimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4960 in eo etiam habere locum. Proinde $i in remi problemate minus per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4961 $picax fuerit Ari$toteles, nec in hoc per $picacior fui$$e putandus e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4962 <P>Ni$i quod anterius.] <I>Repetitio e$t differenti&aelig; motuum remi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4963 &amp; gubernaculi $umpta ex diuer$itate terminorum ad quos vterqne
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4964 ducit de qua igitur ante.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4965 <P>Vbi igitur guber.] <I>Antea in gubernaculi $imilitudine cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4966 vecte attulerat Ari$toteles pondus mouendum mare, motorem eum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4967 qui $edet in puppi, quod erat tertium de centro, circa quod temo mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
4968 uetur, pr&aelig;termi$erat. Id nunc adiungit. E$t autem cardo cui puppis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4969 nauis annectitur non aliter quam $calmo remus, vt &amp; circa cardi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4970 nem gubernaculum vertitur, $icut circa $calmum remus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4971 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4972 <P>7. Cau$a pote$tatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4973 Antemn&aelig;.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4974 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4975 <P>Cur quant&ograve; antemna $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4976 perior fuerit, tant&ograve; celerius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4977 nauis feratur eod&etilde; velo, eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4978 demq; v&etilde;to? An quia malus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4979 <foot>M ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4980 <p n=>92</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4981 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4982 e$t vectis, &amp; calx in qua in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4983 figitur, pre$$io? Quod vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4984 pondus mouere oportet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4985 e$t nauis: &amp; ventus in vel&utilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4986 e$t mouens. Igitur $i quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4987 to remotior fuerit pre$$io,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4988 facilius &amp; celerius vis ead&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4989 pondus im$um mouet: an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4990 temna $ublimius po$ita &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4991 calce mali, qu&aelig; pre$$io 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
4992 magis di$tare velum faciet.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
4993 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4994 <P>Antemn&aelig;.] <I>Antemna lignum e$t per tran$uer$um in malo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4995 nauis po$itum, &agrave; quo velum dependet. Latini illius ligni extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4996 mas partes voc&atilde;t cornua ob quod Bayfius<*>putat antemnas dici Gr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4997 cis</I> <G>xerai/an.</G> <I>Malus vero nauis aliud e$t lignum prop&egrave; in medio nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4998 in$tar tr&utilde;ci arboris perpendiculariter infixum,</I> <G>i(so\s,</G> <I>cuius partes di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
4999 uer$is appellationibus di$tinct&aelig; &agrave; Macrobio in quinto Saturnalium
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casties
parents:
diff changeset
5000 in h&aelig;c verba $unt. A$clepiades autem vir inter Gr&aelig;cos apprim&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5001 doctus ac diligens carche$ia &agrave; nauali re dicta exi$timat. At enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5002 naualis mali partem inferiorem, pternam vocari, at circa mediam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5003 ferme partem</I> <G>tea/xhlon</G> <I>dici: $ummam vero partem carche$ium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5004 nominari, &amp; inde diffundi in vtrumque veli latus ea qu&aelig; cornua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5005 vocantur. Velum etiam e$t linteum quadrangulum vel triangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5006 ex antemna dependens, quod expen$um excipit ventum, cuius 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
5007 pul$u nauis tran$uehitur non aliter qu&atilde; antea diximus remis. &AElig;olus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5008 primus mortalium velis v$us e$$e dicitur. Et propterea deus vento-
22d6a63640c6 moved 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 rum e$t habitus. Sic enim de eo apud Diodorum legimus.</I> <G>w_<+>\s de\
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5010 tou/tois ti/w\ <+> i(ci/wn xrei/an toi_s nanlikoi_s ei)ongh/oa<+> kai\ di-
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parents:
diff changeset
5011 da/cai.</G> <I>id e$t in$uper &amp; velorum v$um nautis introduxi$$e, ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5012 nemque vtendi docui$$e. velorum autem apud veteres tria fuerunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5013 genera Artemo &amp; acatium, quod velum maius: dolo, quod minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5014 erat: &amp;</I> <G>e)po/s<+>omos,</G> <I>quod velum &agrave; tergo ponebatur. vnde nauis &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5015 Iulio polluce</I> <G><+>iar/mduos,</G> <I>Antigoni dicta, qu&aelig; tria vela haberet</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
5016 <foot>i</foot>
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casties
parents:
diff changeset
5017 <p n=>93</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5018 <I>trino$que malos, quod antiquis fuit rar&utilde;, no$tris hodie frequ&etilde;ti&szlig;im&utilde;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5019 quia inuenta pyxide nautica, inquit Cardanus, &amp; lapidis Herculis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5020 auxilio pluribus locis vela dispo$ita, melius dirigunt iter: antiquis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5021 contr&agrave;, quoniam $yderibus Cyno$ura, &amp; Helice, vias dirigebant, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5022 ob id non ad amu&szlig;im, nec ex lineis, cra$$a quidem Minerua: $ed certa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5023 deformatis malorum multitudo confu$ionem in cur$u, &amp; impedi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5024 mentum, maiu$que periculum attuli$$et.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5025 <P>Cur quanto.] <I>Quintum e$t $peciale problema de vecte con$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
5026 derato in malo nauis. Cur $cilicet antemna $ublimiore mali loco po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5027 $ita, vt $it idem velum, idemque ventus velo exceptus, nauis cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5028 rius feratur. Id e$t vt c&aelig;tera omnia $int paria. Nam nauis velocitas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5029 non $olum pendet &agrave; ventorum impetu &amp; rectitudine, &amp; velorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5030 magnitudine: $ed &amp; ex loco humiliore, vel $ublimiore, ex c&aelig;li ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5031 Oriente in Occidentem conuer$ione, nauis leuitate &amp; forma. 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
5032 enim non merguntur vt</I> <G>droma/des</G> <I>($ic enim vocat Ari$tophanes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5033 eas, quas nunc vulgus fregatas appellat) qua$i aquis innitentes cur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5034 $unt veloci&szlig;im&aelig;, &amp; longiores latis, po$teas, qu&aelig; carinam habent te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5035 nuem, vt aquas facile diuidant, vltimo loco qu&aelig; qua$i medi&aelig; ante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5036 quidem tenues, po$t latiores ad velocem cur$um &amp; ferendum onera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5037 apt&aelig;, &amp; humiles altis, &amp; leui ex ligno: $ed &amp; parte intra aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5038 polita l&aelig;uigata &amp; $&aelig;uo illita.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5039 <P>An quia malus e$t.] <I>Solutio e$t problematis propo$iti per re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5040 ductionem mali ad vectem, &amp; eius calcis ad hypomochlium. Syllo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5041 gi$mus h&icirc;ce$t $uis omnibus partibus ab$olutus, $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5042 <P><I>Quant&ograve; pars ab hypomochlio ad caput vectis e$t longior: 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
5043 vis mouens, ea e$t ventus, onus, id e$t nauim, facilius &amp; ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5044 lerius mouet. Ex anteced.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5045 <P><I>Qu&ograve; autem antemna, intellige cum velo expan$o, $uperior e$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5046 malo: e&ograve; pars ab hypomochlio ad caput vectis e$t longior. ax. 9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5047 E$t enim malus vectis, &amp; mali pterna $eu calx e$t hypo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5048 mochlium.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5049 <P><I>Ergo antemna cum $uperior e$t, ventus facilius &amp; celerius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5050 mouet nauim.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5051 <marg>Cap. 8. lib
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5052 10.</marg>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5053 <P><I>Eadem de hoc problemate fuit Vitruu&yuml; $ent&etilde;tia his verbis expre$$a.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5054 Nauis onerari&aelig; vela cum $int per altitudinem mediam mali penden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5055 tia, non pote$t habere nauis celerem cur$um: cum autem in $ummo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5056 <foot>M iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5057 <p n=>94</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5058 <I>cacumine antemn&aelig; $ubduct&aelig; $unt, tunc vehementiori progreditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5059 impetu, quod non proxime calcem mali, qu&aelig; e$t loco centri: $ed in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5060 $ummo longius, &amp; ab eo progre$$a recipiunt in $e vela ventum. Ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5061 que vti vectis $ub onere $ubiectus, $i per medium premitur, durior e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5062 neque incumbit. Cum autem caput eius $ummum deducitur, faciliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5063 onus extollit: humiliter vela cum $unt per medium temperata, mino-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5064 rem habent virtutem. Qu&aelig; autem in capite mali $ummo collocantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5065 di$cedentia longius &agrave; centro non acriore, $ed eodem flatu pre&szlig;ione ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5066 cuminis vehementius cogunt progredi nauem. Ex his etiam intelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5067 gere licet cur hodierni naut&aelig; $olo $&aelig;pe in procellis vtuntur dolone,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5068 velo quidem non tam minimo magnitudine quam altitudine Trin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5069 chetum appellant. Solum enim $u$tinet nauim, qu&aelig; &agrave; ventis vel vn-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5070 dis mergi$olet. ab vndis quidem vbi humilior e$t: &agrave; ventis vero ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5071 lateribus &amp; anteriore parte. Siquidem velum illud humile &amp; exi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5072 guum efficit, vt nauis anteriore parte leuis, nec mergatur prona &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5073 ventis, nec aquas ea excipiat, nec tamen impelli pote$t nauis in $copu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5074 los, nec euerti ob cau$as dictas. Quin $i nimium adhuc venti $&aelig;uiant,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5075 dolonem demittant adhuc infra magis, quin &amp; ip$um malum etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5076 $ublato velo, aut circa antemnam implexo &amp; inuoluto, &amp; ne nauis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5077 obruatur, antror$um. H&aelig;c enim pars vim ventor&utilde; omnem excipit:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5078 gubernatores etiam puppim multa arena, lapilli$que onerare, $i de$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5079 aliud onus, $olent.</I></P>
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casties
parents:
diff changeset
5080 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5081 <P>8. Cur quando &egrave; cornu vo-
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diff changeset
5082 lunt nauigare pedem fa-
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diff changeset
5083 ciunt.</P>
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parents:
diff changeset
5084 <P><+></P>
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casties
parents:
diff changeset
5085 <P>Cur quando &egrave; cornu na-
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parents:
diff changeset
5086 uigare voluerint vento $e-
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parents:
diff changeset
5087 cundo non exi$tente, par-
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parents:
diff changeset
5088 tem quidem veli ad guber-
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parents:
diff changeset
5089 natorem $pectantem con-
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diff changeset
5090 trahunt: part&etilde; vero ad pro-
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diff changeset
5091 ram relax&atilde;t pedem facien-
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diff changeset
5092 tes. An quia gubernacu-
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parents:
diff changeset
5093 lum non pote$t auertere,
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parents:
diff changeset
5094 cum multus exiftit ventus:
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parents:
diff changeset
5095 <p n=>95</p>
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casties
parents:
diff changeset
5096 <+>
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parents:
diff changeset
5097 c&utilde; pauc^{9} ver&ograve; pote$t. v&etilde;tus
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diff changeset
5098 igitur perpellit, quem $e-
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parents:
diff changeset
5099 cundum facit gubernacu-
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parents:
diff changeset
5100 lum, auertens &amp; compel-
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parents:
diff changeset
5101 lens mare, $imul &amp; naut&aelig;
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parents:
diff changeset
5102 pugnant cum vento, &amp; in
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parents:
diff changeset
5103 contrariam nituntur par-
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diff changeset
5104 tem.</P>
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parents:
diff changeset
5105 <head>COMMENTARIVS.</head>
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diff changeset
5106 <P>Ecornu volunt nauigare.] <I>Diximus antemnarum extrema
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parents:
diff changeset
5107 appellari cornua. Hinc &egrave; cornu nauigare e$t cum vento cornu
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parents:
diff changeset
5108 antemnarum obijcitur. Quod feci$$e $ignificabat Troianos Virgi-</I>
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parents:
diff changeset
5109 <marg>Lib. 3.
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casties
parents:
diff changeset
5110 &AElig;neid.</marg>
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parents:
diff changeset
5111 <I>lius hoc ver$u,</I></P>
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parents:
diff changeset
5112 <P>Cornua velatarum obuertimus antemnarum.</P>
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diff changeset
5113 <P>Pedem faciunt.] <I>Extextu &amp; rei natura qu&aelig; in eo explica-
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parents:
diff changeset
5114 tur ratiocinantes h&icirc;c pro</I> <G>ou(/tws poiou_oi</G> <I>repo$uimus</I> <G>po/da poiou_oi.</G> <I>E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5115 autem</I> <G>w_ou/s</G> <I>Gr&aelig;cis, &amp; pes Latinis vari&aelig; admodum $ignificationis.
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parents:
diff changeset
5116 Pr&aelig;ter c&aelig;teras h&icirc;c huius duas annotare licet. Prior venit in men-
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parents:
diff changeset
5117 tem ob duos locos apud Galenum &agrave; perpaucis intellectos. Alter e$t
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parents:
diff changeset
5118 cap. 9. lib. 2. de mu$c. motu: alter com. 4. in lib. 6.</I> <G>e(pid.</G> <I>in Aph. 24.
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parents:
diff changeset
5119 vbi dicit tibicines, pr&aelig;cones, nuncupatum</I> <G>po/da,</G> <I>id e$t, pedem cane-
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parents:
diff changeset
5120 re. vbi dubium non e$t Galenum $ignificare volui$$e genus quod-
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parents:
diff changeset
5121 dam vocis, qu&aelig; vehementi &amp; longa exufflatione opus habeat, 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
5122 eti&atilde;$en$it Hieronymus Mercurialis, qui hos Galeni locos ob$erua-
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parents:
diff changeset
5123 uit. Nos eti&atilde;legimus in c&otilde;ment. C&aelig;$aris cum pugnand&utilde; $ibi foret,
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parents:
diff changeset
5124 iu&szlig;$$e ab equis milites de$c&etilde;dere, nequis $p&etilde;fug&aelig; in equor&utilde; celerita-
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parents:
diff changeset
5125 te reponeret. Qu&aelig; iu&szlig;io forta$$e erat,</I> <G>e)ru_n po/da,</G> <I>dicere ped&etilde;, vbi St&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
5126 torea voce opus erat, vt ab omnibus audiretur: contra hodie apud
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parents:
diff changeset
5127 Gallos, inituris pugnam iubetur a$cendere in equos: po$terior e$t qua
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parents:
diff changeset
5128 ea pars in velo, qu&aelig; acutior &amp; inferior ad nauis latus, vel ad mali
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parents:
diff changeset
5129 ptern&atilde; religatur, mod&oacute;que c&otilde;trahitur mod&ograve; relaxatur. vnde Po&euml;ta:</I></P>
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parents:
diff changeset
5130 <marg>Lib. 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
5131 &AElig;neid.</marg>
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parents:
diff changeset
5132 <P>vna omnes fecere pedem.</P>
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parents:
diff changeset
5133 <P><I>Alij tamen dicunt e$$e funem, quo id fit. Interpres Apollonij Rho-
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parents:
diff changeset
5134 dij funes veli id e$t</I> <G>xa/lw</G> <I>rudentes in tria genera diuidit. Aut enim</I>
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casties
parents:
diff changeset
5135 <marg>Lib. 3.</marg>
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casties
parents:
diff changeset
5136 <p n=>96</p>
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parents:
diff changeset
5137 <I>detrahitur his velum, &amp; vocantur</I> <G>mesouri/ai</G>: <I>aut intenditur vtrin-
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parents:
diff changeset
5138 que ad proram, &amp; $unt</I> <G>w_<+>/tonoi</G>: <I>aut conuertitur &amp; laxatur, hi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5139 $unt</I> <G><+>\ ta\s gwni/as</G> <I>ad angulos, &amp; dicuntur</I> <G>po/des</G> <I>&amp; ante hos</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5140 <G>w_<+>/podes</G> <I>quo $en$u dixi$$e Plinius videtur lib. 2. cap. 47. Ii$dem
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casties
parents:
diff changeset
5141 autem ventis in contrarium nauigatur prolatis pedibus vt noctu
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parents:
diff changeset
5142 plerumque vela concurrant.</I></P>
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parents:
diff changeset
5143 <P>Cur quando.] <I>Sextum e$t problema $peciale de vecte in naui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5144 gatione obliqua, quod $oluitur triplici ope nempe veli obliqui ex par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5145 te contracti, parteque expan$i gubernaculi tanquam vectis, &amp; 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
5146 migum renixus.</I></P>
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parents:
diff changeset
5147 <P>E cornu nauigare.] <I>Pro</I> <G>e)x ou)<+>/as</G> <I>h&icirc; legendum putamus 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
5148 in titulo</I> <G>e)x xerai/as</G> <I>nam h&aelig;c $unt</I> <G>a)s/i<+>ata</G> <I>velle nauigare</I> <G>e)x ou)<+>i/as</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
5149 <I>&amp;</I> <G>mh\ ou)<+>i/ou w_neu/ ma/los o(/n(los.</G> <I>Quomodo enim nauigabitur vento
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casties
parents:
diff changeset
5150 $ecundo, $i ventus $ecundus non e$t. At cum ventus $ecundus non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5151 e$t, antemnarum ope rectum nihilominus tenere cur$um po&szlig;ibile e$t,
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casties
parents:
diff changeset
5152 Et id vt fiat &amp; quibus de cau$is, explicatur h&icirc;c ab Ari$torele.</I></P>
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casties
parents:
diff changeset
5153 <P>Vento $ecundo.] <I>Ventus $ecundus e$t cum vt ait Po&euml;ta,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5154 <P>A tergo comitatur euntes,</P>
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parents:
diff changeset
5155 <P><I>Hic e$t quem naut&aelig; $ibi dari optant vnde e$t illud,</I></P>
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parents:
diff changeset
5156 <P>Ferte viam facilem, venti &amp; $pirate $ccundi.</P>
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parents:
diff changeset
5157 <P><I>Qui huic e$t contrarius, dicitur aduer$us, cum in proram inuehitur.
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casties
parents:
diff changeset
5158 Nec eo $ic flante nauis ni$i remis agi pote$t, idque magnis viribus
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casties
parents:
diff changeset
5159 &amp; magno conatu.</I></P>
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casties
parents:
diff changeset
5160 <P>Non aliter quam qui aduer$o vix flumine lembum</P>
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parents:
diff changeset
5161 <P>Remigijs $ubigit, $i brachia forte remi$it,</P>
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parents:
diff changeset
5162 <P>Atque illum pr&aelig;ceps prono rapit alueus amne.</P>
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parents:
diff changeset
5163 <P><I>Inter hos duo $unt med&yuml;, vnus tran$uer$us ad latera nauis perpendi-
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parents:
diff changeset
5164 culariter incidens: alter obliquus
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casties
parents:
diff changeset
5165 <fig>
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parents:
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5166 qui medius e$t inter $ecundum &amp;
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casties
parents:
diff changeset
5167 tran$uer$um, velinter aduer$um &amp;
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casties
parents:
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5168 tran$uer$um. Vt e$to nauis G H,
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diff changeset
5169 &amp; prora $it G puppis H, ventus
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diff changeset
5170 ex B $ecundus erit, ex A aduer-
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diff changeset
5171 $us, ex C vel D tran$uer$us, ex E
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diff changeset
5172 vel F obliquus. Horum autem mo-
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parents:
diff changeset
5173 tuum Galenus obliquos per pulchr&egrave;</I>
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diff changeset
5174 <foot><I>declarauit</I></foot>
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diff changeset
5175 <p n=>97</p>
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parents:
diff changeset
5176 <I>declarauit $umpta prim&ugrave;m hac propo$itione. In vniuer$um quando
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diff changeset
5177 &agrave; duobus motibus ex tran$uer$o $ibi inuicem occurrentibus trahitur
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parents:
diff changeset
5178 corpus, $i mult&ograve; quidem $upereminet alter, nece$$arium e$t ob$curari,
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parents:
diff changeset
5179 di$parer&eacute;ue reliquum: pauca ver&ograve; cum e$t exuperantia alterius: aut
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parents:
diff changeset
5180 ambo &aelig;qualiter po$$unt, mixtum ex vtri$que fieri eum corporis mo-
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parents:
diff changeset
5181 tum oportet. Videntur autem omnia i$ta propemodum quotidie in
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diff changeset
5182 $excentis exemplis, exempli gratia in remigantibus, $imul &amp; naui-
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parents:
diff changeset
5183 bus ventum tran$uer$um habentibus. Si enim &aelig;quipollet venti &amp;
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parents:
diff changeset
5184 remigantium robur, mixtum fieri motum nece$$e e$t. Cum neque
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parents:
diff changeset
5185 antror$um $olum, neque ad tran$uer$um naues ferantur, $ed ad am-
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parents:
diff changeset
5186 borum medium (vbi mal&egrave; legitur Medicum) $i vero remigantium
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parents:
diff changeset
5187 robur maius fuerit, antror$um magis, quam ad tran$uer$um. Si au-
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parents:
diff changeset
5188 tem venti violentia vincat, ad tran$uer$um magis, quam antror-
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parents:
diff changeset
5189 $um. Multus autem $i fuerit exce$$us, adeo vt alterius vires omnino
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parents:
diff changeset
5190 vincantur, nauigantium quidem ob$curatis viribus, ad tran$uer-
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parents:
diff changeset
5191 $um: venti vero, antror$um magis naues ferentur. Quid tandem $i
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parents:
diff changeset
5192 tenuis omnino aura fuerit, nauis ver&ograve; pr&aelig;longa, &amp; leuis, quamplu-
22d6a63640c6 moved 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 rimos habens nautas, poterit aliquando motus ab aura e$$e manife-
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parents:
diff changeset
5194 $tus? Sed neque $i maximus quidem $uerit ventus, nauis autem &amp;
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parents:
diff changeset
5195 maxima &amp; grauis, &amp; duo $olum aut tres remigent, remigum actio-
22d6a63640c6 moved 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 nem apparere po&szlig;ibile e$t. cap. 19. lib. 1. de v$. partium.</I></P>
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parents:
diff changeset
5197 <P>An quia gubernaculum.] <I>Solutio e$t problematis propo$iti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5198 quod $ic fiet euidentius. Cur qui &egrave; cornu nauigaturi vento $cilicet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5199 non $ecundo exi$tente: $ed obliquo vel tran$uer$o eam veli partem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5200 qu&aelig; ver$us gubernatorem e$t, contrahunt id e$t $tringunt, &amp; circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5201 antemnam implicant. Eam vero, qu&aelig; ad proram, relaxant, quod 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
5202 pellant pedem facere. Re$pon$io. Quia obliqu&egrave; vel tran$uer$im naui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5203 gari non pote$t, ni$i tunc gubernaculum auertat, atque obliquet na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5204 uim. E&ograve; enim fertur nauis, qu&ograve; prora dirigitur. Obliquare 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
5205 nauim vel tran$uertere tant&ograve; facilius gubernaculum pote$t: quant&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
5206 ventus paucior e$t. Paucior autem fit contracto velo, quod $pectat 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
5207 puppim, &amp; relaxato eo quod e$t ad proram. Sufficiens tamen 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
5208 pellere. Obliquus enim veli relaxati $inubus totis excipitur. I deo c&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
5209 &amp; $ufficiat gubernaculum auertere atque propellere mare, vocatis
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parents:
diff changeset
5210 ad id in auxilium, $i opus e$t, nautis in contrariam vento partem ni-
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parents:
diff changeset
5211 tentibus, fit vt ex obliquo vel tran$uer$o vento feratur nauis. Sic</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
5212 <foot>N</foot>
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parents:
diff changeset
5213 <p n=>98</p>
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parents:
diff changeset
5214 <I>enim quantum ventus exempli gratia dextror$um propellit nauim:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5215 tantum vi $ua gubernaculum cum nautis $ini$tror$um illam tor-
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parents:
diff changeset
5216 quet, ac tapit. Et ita neutra ex contrar&yuml;s viribus pr&aelig;ualente, e&ograve; fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5217 tur nauis, qu&ograve; vult gubernator, etiam$i ventus minime $ecundus $it.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5218 <P>Quem $ecund&utilde;.] <I>Ex hoc loco colligi pote$t cau$a, propter quam
22d6a63640c6 moved 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 quotidie naues ob$eruantur non citra admirationem eodem vento in
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parents:
diff changeset
5220 contrarias partes nauigare, vt &amp; Plinius etiam recitat. Ii$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5221 ventis in contrarium nauigatur prolatis pedibus (hi $unt funes de
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parents:
diff changeset
5222 quibus ante) vt noctu plerumque vela concurrant. Hoc autem 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
5223 fiat geometric&egrave; demon$tratur.</I></P>
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casties
parents:
diff changeset
5224 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5225 <P><I>Sint naues A tendens ad G, &amp; B tendens ad H. ventus 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
5226 C recta feratur ad D, tanquam ad centrum. Itaque vento 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
5227 pul$a nauis A, feretur in E, &amp; B in F. Fiat igitur in naui per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5228 temonem mutatum angulus G A K, qui $it &aelig;qualis angulo G
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5229 A E: tum H B L &aelig;qualis angulo H B F.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5230 <P><I>Quia igitur nauis A &agrave; vento fertur in E, &amp; per temonis muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5231 tionem in K, feretur recta in G, &amp; eadem ratione B in H.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5232 Neuter enim cum $uo impul$u pr&aelig;ualeat, medium teneat A G ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5233 ce$$e e$t, quod $i ventus pr&aelig;ualet, adiungitur remigum renixus, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5234 $i non $atis $it, vento cedendum, aut anchora iacienda. Tum autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5235 vix remiges re$i$tunt, c&utilde; nauis e$t in centro, vel radio perpendicula-
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casties
parents:
diff changeset
5236 ri venti, quo in loco propter vim venti maiorem, &amp; anguli per te-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5237 <p n=>99</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5238 <I>monem faciendi magnitudinem, vt qui rectum &aelig;quare debeat, dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5239 ficillim&egrave; ad locum de$tinatum dirigitur: at quant&ograve; fuerit remotior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5240 &agrave; puncto D, velocius &amp; facilius feretur, quia ventus rectius tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5241 get puppim, minor enim erit $emper angulus per temonem facien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5242 dus, vt intelligitur ex G P Q minore: quam G A E, &amp; G I
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5243 M minore: quam G P Q. Sunt enim duo C A G &amp; G 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
5244 quia facti &agrave; recta G A in rectam C E duobus rectis &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
5245 prop. 13. lib. 1. &amp; per eandem etiam duo C P G &amp; G P Q duobus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5246 rectis &aelig;quales. Ergo duo C A G &amp; G A E duobus C P G &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5247 G P Q $unt &aelig;quales axiom. 1. E$t autem C P G externus oppo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5248 $ito interno C A G maior, prop. 16. lib. 1. Reliquus igitur G P Q
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5249 reliquo G A E minor erit, &amp; ita de c&aelig;teris. Sicque nauis proce$$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5250 $uo mutabit $en$im temonem, vt &amp; vela.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5251 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5252 <P>9. Cur &egrave; figuris rotund&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5253 $unt mobiliores.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5254 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5255 <P>Cur qu&aelig; figurarum ro-
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diff changeset
5256 tund&aelig; &amp; circulares exi-
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diff changeset
5257 $tunt, facilius mouentur.
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diff changeset
5258 Tribus vero modis con-
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diff changeset
5259 tingit circulum volui. vel
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diff changeset
5260 enim $ecundum curuatu-
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diff changeset
5261 ram vn&agrave; centro tran$lato,
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diff changeset
5262 qualiter rota plau$tri vol-
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parents:
diff changeset
5263 uitur: vel circa centrum
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diff changeset
5264 tantum, quod ip$um quie$-
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diff changeset
5265 cat, vt trochle&aelig; vel in pla-
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diff changeset
5266 no, manente centro, vt fi-
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diff changeset
5267 guli rota vertitur. An igi-
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diff changeset
5268 tur h&aelig;c celerrima fiunt,
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diff changeset
5269 quod parua $ui parte plan&utilde;
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diff changeset
5270 atting&atilde;t, vt circulus in p&utilde;-
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diff changeset
5271 cto, &amp; quia non offen$ant?
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diff changeset
5272 Di$tat enim angul^{9} &agrave; terra.
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diff changeset
5273 Et hoc eti&atilde; cui occur$ant,
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diff changeset
5274 <foot>N ij</foot>
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diff changeset
5275 <p n=>100</p>
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casties
parents:
diff changeset
5276 <+>
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parents:
diff changeset
5277 corpus rur$us parum tan-
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parents:
diff changeset
5278 gant. At $i recti lineum e$-
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parents:
diff changeset
5279 $et, rectitudine $ua mul-
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parents:
diff changeset
5280 tum plani attingeret.</P>
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parents:
diff changeset
5281 <head>COMMENTARIVS.</head>
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parents:
diff changeset
5282 <P>Cvr qu&aelig; figurarum.] <I>In hoc capite redit Ari$toteles ad fi-
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parents:
diff changeset
5283 guras rotundas, &amp; qu&aelig;rit generaliter cau$as facilitatis motus
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parents:
diff changeset
5284 earum, ea$que quinque a&szlig;ignat modic&utilde; tactum, offen$ationem exi-
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parents:
diff changeset
5285 guam, nutum dimidi&aelig; partis, motum perpetu&utilde;, motum naturalem.</I></P>
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parents:
diff changeset
5286 <P>Tribus modis.] <I>Rotundorum motus $implex per $pecies indu-
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parents:
diff changeset
5287 citur: $ed diminut&egrave;. Perfect&egrave; autem $ic. Rotundum omne per $e mo-
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parents:
diff changeset
5288 uetur, vel ab alio. Per $e quidem vt c&aelig;lum, cuius nulla pars prim&ograve;
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parents:
diff changeset
5289 moueri dict pote$t: omnes tamen $imul in loco mouentur. Ab alio
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parents:
diff changeset
5290 ver&ograve;, in quo etiam eius quod mouetur pars aliqua prim&ograve; mouetur,
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parents:
diff changeset
5291 &amp; quidem duobus modis progrediente axe: vel manente. Progre-
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diff changeset
5292 diente rur$us duobus modis, priore cum motus incipit &agrave; circumfe-
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parents:
diff changeset
5293 rentia, vt in rota $uper planum volutata: po$teriore c&utilde; ab axe, vt in
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parents:
diff changeset
5294 rota per axem currus circumducta. Manente ver&ograve;, rur$us duobus
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parents:
diff changeset
5295 modis, nemp&egrave; axe moto in $uo loco: vel etiam immoto. Et moto qui-
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diff changeset
5296 dem rur$us duobus modis, primo cum motus incipit &agrave; circumferen-
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diff changeset
5297 tia, vt in $uccula per collopes ver$a: $ecundo cum motus incipit ab
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parents:
diff changeset
5298 axe, vt in mola &amp; rota qua acuuntur glad&yuml;: immoto vero, vt in
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parents:
diff changeset
5299 trochlea, cuius vert&etilde;tis per funes motus incipit &agrave; circumferentia: $ed
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parents:
diff changeset
5300 axe omnino immoto. Sicque legitima diui$ione &amp; experimento ro-
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parents:
diff changeset
5301 tundorum motus $ex $pecies infim&aelig; reperiuntur, &egrave; quibus prima pr&aelig;-
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parents:
diff changeset
5302 termi$$a e$t ab Ari$totele, quia nihil ad Mechanicen, $ecunda pr&aelig;-
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diff changeset
5303 termitti non debuit, ni$i quia noti&szlig;ima.</I></P>
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diff changeset
5304 <P>Vel enim.] <I>Cum rota currui $ubiecta e$t, tracto curru axis vn&agrave;
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parents:
diff changeset
5305 progreditur. Et cum rota quie$cere nequeat, quia axis tractus pre-
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parents:
diff changeset
5306 mit, &amp; pondus ad&yuml;cit non ad perpendiculum: $ic enim ad centrum
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diff changeset
5307 impelleret: $ed ad latus, quo trahitur, &amp; pondere adiecto ad nutan-
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diff changeset
5308 tem dimidia $ui parte $emper rotam, e&ograve; labitur. Facilius autem cir-
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parents:
diff changeset
5309 cumuerti ur: quam trahatur, itaque procedit. Et $ic ibi quidem rota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5310 ex circumferentia, quam ab$idem h&icirc;c appellat, mouetur: $ed ab axe</I>
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parents:
diff changeset
5311 <p n=>101</p>
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parents:
diff changeset
5312 <I>initium e$t motus. Plurimum itaque confert ad motus facilitatem,
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parents:
diff changeset
5313 vt tum axis, tum rota intus $int l&aelig;ui&szlig;ima, vnde aurig&aelig; axungia
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parents:
diff changeset
5314 (qu&aelig; inde nomen traxit) ip$a inungunt.</I></P>
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parents:
diff changeset
5315 <P>Quod parua $ui.] <I>Prima cau$a e$t facilitatis motus $uper plano
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parents:
diff changeset
5316 in rotundis de modico contactu in omni $ui po$itione. Contactus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5317 enim multa parte $ui facit h&aelig;rere, &amp; $imul e$$e ea, qu&aelig; $e$e $ic con-
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parents:
diff changeset
5318 tingunt, &amp; quidem tant&ograve; magis, quant&ograve; maior e$t hic contactus.
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parents:
diff changeset
5319 qu&ograve; igitur erit minor, e&ograve; minus h&aelig;rere, citiu$que diuelli faciet. Mul-
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parents:
diff changeset
5320 ta autem pr&aelig;ter rotunda vt triangulum &aelig;quilaterum, &amp; tetra&euml;-
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parents:
diff changeset
5321 dron planum in puncto contingere po$$unt, $ed non in omni $ui po$i-
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casties
parents:
diff changeset
5322 tione, vt cum $ecundum vnam $ui aream $uperiacent: at rotunda
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parents:
diff changeset
5323 $iue $ph&aelig;ra $it, $iue circulus planum in vno puncto quouis modo $e-
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parents:
diff changeset
5324 cundum curuaturam po$ita attingunt. quod demon$tratum e$t de
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parents:
diff changeset
5325 illo quidem &agrave; Theodo$. prop. 2. lib. 1. de Sph&aelig;r. de hoc vero ab Eucli-
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parents:
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5326 de prop. 16. lib. 3.</I></P>
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parents:
diff changeset
5327 <P>Et quia non off.] <I>Secunda cau$a e$t de occur$antibus, qu&aelig;
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parents:
diff changeset
5328 rur$us cum minimam partem rotundorum attingant, &amp; atterant,
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casties
parents:
diff changeset
5329 minus impediunt, quam qu&aelig; plus attingunt, pluribu$que occur$ant.</I></P>
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diff changeset
5330 <P>Di$tat enim angulus.] <I>Cum rotundum incumbit plano ad
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parents:
diff changeset
5331 omnes rectas &agrave; quibus tangitur in ip$o plano angulos facit contin-
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casties
parents:
diff changeset
5332 genti&aelig;, quorum $inguli quia $unt minores quouis acuto angulo re-
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casties
parents:
diff changeset
5333 ctilineo, vt e$t demon$tratum prop. 16. lib. 3. procliues $unt maxime
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casties
parents:
diff changeset
5334 ad motum. Latus enim curuum anguli vnius contactus $emotum
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casties
parents:
diff changeset
5335 quidem e$t &agrave; plano: $ed parum propter anguli angu$tiam. Et $ic non
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casties
parents:
diff changeset
5336 offen$at, &amp; proximum e$t ca$ui. Hinc etiam vna caufa colligi po-
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casties
parents:
diff changeset
5337 te$t, cur rotunda maiora facilius moueantur minoribus, quod
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parents:
diff changeset
5338 angulos $ui contactus tant&ograve; acutiores faciunt: quant&ograve; $unt maiora,
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casties
parents:
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5339 vt in libello no$tro de angulo contactus demon$trauimus.</I></P>
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casties
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diff changeset
5340 <P>At $i rectilineum e$$et.] <I>Difficultas motus in mobili pendet
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diff changeset
5341 ab eius internis aut externis. Interna e$t naturalis cuiu$que prop&etilde;$io,
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5342 qua extra locum exi$tens, $i liberum $inatur mobile, ad e&utilde; per $e fe-
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casties
parents:
diff changeset
5343 ratur. Atque vt ibi vi retineatur, e&ograve; tamen quodam motu occulro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5344 tendit, vt graue deor$um, leue $ur$um, &amp; $emper $ecundum rectam
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parents:
diff changeset
5345 perpendicularem in qua e$t centrum grauitatis mobilis: ali&ograve; nun-
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diff changeset
5346 quam, ni$i vi contraria nixus ille vincatur, vt cum graue $ur$um:
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parents:
diff changeset
5347 aut leue deor$um: aut vtrumque ad latera propellitur. Itaque prima</I>
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diff changeset
5348 <foot>N iij</foot>
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casties
parents:
diff changeset
5349 <p n=>102</p>
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casties
parents:
diff changeset
5350 <I>difficultas in viol&etilde;tis pendet &egrave; renixu. Externa vero $unt $ubiect&utilde;,
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parents:
diff changeset
5351 &amp; occur$ans, &amp; mobilis figura. Subiectum appello, cui mobile $u-
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parents:
diff changeset
5352 perincumbit, aut primo in$i$tit, &amp; huic tant&ograve; magis qua $i inh&aelig;ret
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parents:
diff changeset
5353 &amp; in$i$tit: quant&ograve; pluribus punctis ab eo $imul tangitur. Tot enim
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parents:
diff changeset
5354 $unt line&aelig; in mobili ad rectos angulos in$i$tentes $ubiecto, qu&aelig; vt
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parents:
diff changeset
5355 vires vnit&aelig; $e mutuo $tabiliunt, &amp; fulciunt, ne facile de&yuml;ciantur:
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parents:
diff changeset
5356 contr&agrave; id, quod ant&egrave; de Sph&aelig;rico, vbi cum vna e$$et t&atilde;tum qu&aelig; in-
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parents:
diff changeset
5357 $i$teret plano ad rectos, facillima ab illo $tatu erat deiectio. Maior
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casties
parents:
diff changeset
5358 igitur inh&aelig;rentia, maius e$t impedimentum. Occur$ans autem dico
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parents:
diff changeset
5359 quodlibet corpus aliud, vel contra motum, vel cum locum ibi habe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5360 at, minim&egrave; ced&etilde;s. Talia $unt fortuita omnia, qu&aelig; vt $ubiectum, qu&ograve;
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parents:
diff changeset
5361 pluribus mobilis punctis occurrunt propter eandem cau$am, e&ograve; plus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5362 ne fiat inuer$io vel volutatio, impediunt. Tale quoque medium e$t
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parents:
diff changeset
5363 nece$$arium, per quod fit motus, rar&utilde;, den$um, vtrumque impariter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5364 Hoc enim magis, illud minus: re$i$tit partibus obuijs. Re$i$tens in-
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diff changeset
5365 $uper ob loci, in quo e$t, $eru&atilde;di cupiditatem naturalem, &amp; etiam, ne
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parents:
diff changeset
5366 admittatur vacuum. Mobilis denique figura qu&aelig; qu&ograve; propius ac-
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parents:
diff changeset
5367 cedit ad $ph&aelig;ricam vt mobili&szlig;imam, e&ograve; ad motum pronior: contra
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diff changeset
5368 qu&ograve; remotior. Atque ea $unt impedimenta, quorum duo $ublatis for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5369 tuitis &egrave; figurarum $uperficialibus rectiline&aelig;, &egrave; $olidis cubo in$unt.
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parents:
diff changeset
5370 Sit enim
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parents:
diff changeset
5371 ABCD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5372 <fig>
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parents:
diff changeset
5373 rectili-
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parents:
diff changeset
5374 ne&utilde; pla-
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parents:
diff changeset
5375 no E F
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parents:
diff changeset
5376 in$i$t&etilde;s,
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parents:
diff changeset
5377 &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
5378 d&etilde; $ina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5379 turale e$t
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parents:
diff changeset
5380 in$ita grauitate verget ver$us G, &amp; ad rectos in$i$tet rectis A 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
5381 &amp; B D &amp; omnibus inter illas interiectis vt H I, K L, M N,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5382 $icque totidem momentis ver$us G contendit. Pr&aelig;terea a&euml;r 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
5383 aqua medium occurrens lateri A C, quantum in $e, e$t impedit tot
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5384 punctis, quot $unt in A C.</I></P>
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parents:
diff changeset
5385 <P><I>Sit &amp; cubus A D, planum K L, vna $uperficierum $uarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5386 E D attingens, tum habeat rectas A E, C F, B D, H G, 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
5387 <p n=>103</p>
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parents:
diff changeset
5388 <I>rectos in$i$ten-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5389 <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
5390 <I>tes, vt totidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5391 alias, quot $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
5392 puncta in $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5393 perficie E D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5394 nixu naturali
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casties
parents:
diff changeset
5395 coniunct&aelig;. Tot
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5396 vires nullo t&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5397 poris momento alio inclinantes $e &agrave; $uo $tatu dimoueri $inent: medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5398 etiam obuio $eu a&euml;re, $eu aqua totidem ad latus punctis propter &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
5399 litatem $uperficierum impediente. Ex quo fit vt figurarum planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5400 pro vertice habentium $tabili&szlig;ima dicatur cubus. Et quia talis 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
5401 eius figuram Plato affinxit terr&aelig; in loco $uo pror$us immobili. Ob id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5402 etiam pictores Virtut&etilde; qu&aelig; $olacon$tans e$t animi $tatus, vel 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
5403 Mercurium qui $uos $ectatores numquam de$erit cubo in$identem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5404 repr&aelig;$entant: $icut ob contrariam cau$am Fortunam.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5405 <P>Qu&aelig; tant&ugrave;m con$tans in leuitate $ua 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
5406 <I>globo mobili&szlig;imo. Sed quod ad figuram attinet quia pluribus planis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5407 clauditur quam tetraedrum, vel pentaedrum, vt qui $it hexaedrum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5408 &amp; ideo propius accedit ad $ph&aelig;ram, ad volutationem adhuc procli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5409 uior e$t, quam illa $int. hinc te$$erarum talorumque in alueo per hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5410 figur&atilde; planum vnum pro vertice, &amp; planum vnum pro ba$i $emper
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casties
parents:
diff changeset
5411 $eruant&etilde; ludus. Sed h&icirc;c non immerit&ograve;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5412 <fig>
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parents:
diff changeset
5413 <I>qu&aelig;ri pote$t. cur terr&aelig; $tare debenti na-
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parents:
diff changeset
5414 tura figuram attribuit $ph&aelig;ricam, vt
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parents:
diff changeset
5415 doc&etilde;t a$tronomi. vnum enim e$t ex ar-
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parents:
diff changeset
5416 gum&etilde;tis Copernici terram moueri pro-
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parents:
diff changeset
5417 bare volentis. Sed id nullum locum ha-
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parents:
diff changeset
5418 bet, quia qu&aelig; hactenus dicta $unt im-
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parents:
diff changeset
5419 pedimenta figurarum, $unt figurar&utilde; in
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parents:
diff changeset
5420 plano n&otilde; aut&etilde; in concauo $imili &amp; c&otilde;-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5421 <fig>
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parents:
diff changeset
5422 <I>gruenti exi$tenti&utilde;, cuiu$modi e$t terra,
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parents:
diff changeset
5423 cuiu$que omnes partes rot&utilde;d&aelig; exi$ten-
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parents:
diff changeset
5424 tis &aelig;quabilius coniuncto nixu ad cen-
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casties
parents:
diff changeset
5425 trum contendunt: quam $i alterius e$$et
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casties
parents:
diff changeset
5426 cuiu$cunque figur&aelig;. Sit enim cubica
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casties
parents:
diff changeset
5427 cuius centrum A &amp; B punctum an-</I>
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casties
parents:
diff changeset
5428 <p n=>104</p>
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casties
parents:
diff changeset
5429 <I>gulare, &amp; ita remotius quam C laterale, non tanto nixu contendet:
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casties
parents:
diff changeset
5430 quam ip$um C. Qu&ograve; enim mobile naturale propius e$t, e&ograve; obnixius
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casties
parents:
diff changeset
5431 incumbit. Eadem e$t ratio cuiu$cumque figur&aelig; pr&aelig;terquam $ph&aelig;ri-
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parents:
diff changeset
5432 c&aelig;, cuius puncta B, C, D, in eadem $uperficie &aelig;qualiter &agrave; centro
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casties
parents:
diff changeset
5433 $emper di$tant. Itaque terra, vt medium vndiquaque obtineret, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5434 vt qu&aelig; in ea omnia puncta &aelig;quali nixu ad eius centrum niteren-
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diff changeset
5435 tur, debuit e$$e $ph&aelig;rica: ob idque immobili&szlig;ima e$t, nullibique
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diff changeset
5436 nutat, contr&agrave; quam dixit Po&euml;ta,</I></P>
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diff changeset
5437 <P>A$pice nutantem conuexo pondere mundum.
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diff changeset
5438 <I>Nutus enim hic e$t inclinatio ali&ograve; facta: quam id, &agrave; quo $u$penditur,
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diff changeset
5439 vel $u$tinetur, inclinet. Cuiu$modi nihil e$t in mundo, aut in terra:
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diff changeset
5440 $ed omne punctum e&ograve; fertur, qu&ograve; id &agrave; quo $u$tinetur, rect&agrave; $cilicet ad
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diff changeset
5441 centrum, non vt D ad E, hoc enim e$$et contra naturam grauis,
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diff changeset
5442 quippe in diuer$um per ambitum. Qu&aelig;renti ver&ograve; cur igitur c&oelig;lum
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diff changeset
5443 exacte $ph&aelig;ricum moueatur. Re$pondent moueri in loco non na-
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diff changeset
5444 turaliter: $ed voluntari&egrave;. Omnis enim motus naturalis e$t per rectam
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diff changeset
5445 de centro ad locum. V oluntas illa e$t intelligenti&aelig;, qu&aelig; c&oelig;lo vt mens
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diff changeset
5446 corpori pr&aelig;e$t. Et per $e cum motum hunc creet $ine defatigatione e$t
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diff changeset
5447 hic motus in regulari&szlig;imo corpore regulari&szlig;imus, &amp; facillimo ad
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diff changeset
5448 motum veloci&szlig;imus, vt e$t apud Ptolom&aelig;um concl. 1. lib. 1.</I> <G>meg.
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diff changeset
5449 sun<+>.</G> <I>Velocitatem autem intelliget, qui intellexerit quot millia-
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diff changeset
5450 ria, habeat circulus in c&oelig;lo extimo maximus, &amp; quot ex his vno-
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diff changeset
5451 quoque momento conficiat. Intelligetur quoque quomodo illius c&oelig;li
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diff changeset
5452 motus $it omnium motuum m&etilde;$ura. Nam cum men$ura $it in vno-
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diff changeset
5453 quoque genere minimum, vt e$t cap. 4. lib. 2. de C&oelig;l. hic autem mo-
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diff changeset
5454 tus minimus debet dici, qui per minimam lineam earum qu&aelig; &aelig;qua-
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diff changeset
5455 les areas includunt fit, cuiu$modi e$t circularis, $icque $ecundum eam
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diff changeset
5456 motus erit celerrimus, quia minimus.</I></P>
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diff changeset
5457 <P>Multum plani.] <I>Ex hoc loco intelligatur, quod mobile, quant&ograve;
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diff changeset
5458 latius e$t: tant&ograve; difficilius moueri per planum. Attritio enim per
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diff changeset
5459 contactum plani cum mobili, tanto maior erit. Ideo tangens in pun-
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diff changeset
5460 cto facillime mouetur, vt dictum e$t. Tangens in linea difficilius:
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diff changeset
5461 tangens per $uperficiem difficillime. Im&ograve; vero plana exqui$ita iun-
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diff changeset
5462 cta $ine ferruminatione $eparari nequeunt, $i $uperius leuiter ap-
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diff changeset
5463 prehen$um ab inferiore di$iungere quis conetur. Rationem $i vis
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diff changeset
5464 aliquam, vide apud Scaligerum exercit. 333.</I></P>
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diff changeset
5465 <foot>Pr&aelig;terea</foot>
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diff changeset
5466 <p n=>105</p>
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diff changeset
5467 <P><+></P>
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diff changeset
5468 <P>Pr&aelig;terca qu&ograve; pondus
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diff changeset
5469 vergit, e&ograve; motor impellit.
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diff changeset
5470 Quum igitur diameter cir
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diff changeset
5471 culi rect&agrave; in$i$tit plano, cir-
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diff changeset
5472 culo in puncto planum at-
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diff changeset
5473 tingente, &aelig;qualiter vtrim-
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diff changeset
5474 que diameter pondus di-
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parents:
diff changeset
5475 $terminat. Quando ver&ograve;
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parents:
diff changeset
5476 mouetur $tatim plus adid
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parents:
diff changeset
5477 mouetur, veluti e&ograve; repens
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diff changeset
5478 motu facilius impellente
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diff changeset
5479 in anteriorem partem. E&ograve;
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parents:
diff changeset
5480 enim, qu&ograve; vergit vnum-
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parents:
diff changeset
5481 quodque, facilius mouc-
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parents:
diff changeset
5482 tur. Quandoquidem $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
5483 contrarium: quam qu&ograve;
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diff changeset
5484 vergat, moueatur, difficulter mouebitur.</P>
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diff changeset
5485 <head>COMMENTARIVS.</head>
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diff changeset
5486 <P>Pr&aelig;terea qu&ograve;.] <I>Tertia cau$a facilitatis e$t motus, quando mo-
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parents:
diff changeset
5487 bile in omni po$itu $uper plano dimidia $ui parte quoquouer$um
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parents:
diff changeset
5488 ad planum ip$um acclinat, vt fit in rotundo, quod ip$um tangit 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
5489 puncto, vt ante docuimus, $icque quoquouer$um vergit. Hinc dico
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
5490 $ph&aelig;ricum ad latus moueri po$$e quacumque vi, qu&aelig; a&euml;rem impul$u
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diff changeset
5491 vel tractu diuidere po&szlig;it. Vnus enim a&euml;r circun$tans impedit, quo
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parents:
diff changeset
5492 minus voluatur. Non enim nixus a$cendendi $ur$um, cum ob graui-
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diff changeset
5493 tatem e&ograve; non nitatur: neque rur$us deor$um de$cendendi, ob &aelig;qui-
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diff changeset
5494 librium enim innixus pondus non adfert, quin potius dimidia $ui
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diff changeset
5495 parte quoquouer$um nutans nititur moueri, vt in circulo ad cen-
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diff changeset
5496 trum: &agrave; contactu quoque, quia minimo, non impeditur. Relinqui-
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diff changeset
5497 tur erg&ograve; tantum impediri &agrave; medio circunstante. Hoc &agrave; quacun-
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diff changeset
5498 que vi vt or is flatu $i diuidatur, $ph&aelig;ricum in locum diui$ionis pro-
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diff changeset
5499 mouebitur.</I></P>
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diff changeset
5500 <P>Rect&agrave; in$i$tit.] <I>Diameter circuli rect&agrave; in$i$tere in plano di-
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diff changeset
5501 citur cum ad omnes rectas lineas &agrave; quibus tangitur in ip$o plano</I>
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diff changeset
5502 <foot>O</foot>
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5503 <p n=>106</p>
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diff changeset
5504 <I>rectos angulos ef-</I>
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diff changeset
5505 <fig>
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parents:
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5506 <I>ficit ex def. 3. lib.
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5507 11. vt A B dia-
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5508 meter ad B O, B D,
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parents:
diff changeset
5509 B E, B F. Et A B
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diff changeset
5510 quia diameter e$t
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diff changeset
5511 circulum $uum bi-
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diff changeset
5512 fariam diuidit ex
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5513 def. 17. lib. 1. Sic-
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diff changeset
5514 que tanta pars e$t
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diff changeset
5515 ad G, quanta ad H. Similiter maximus in $ph&aelig;ra circulus recta
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diff changeset
5516 in$i$tens $ph&aelig;ram bifariam di$pe$cit.</I></P>
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5517 <P><+></P>
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5518 <marg><+>i)/x<+></marg>
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5519 <P>Pr&aelig;terea nonnulli di-
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5520 cunt lineam circuli in per-
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5521 petuo motu e$$e, vt qu&aelig;
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5522 manent, propter renixum.
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5523 Vt maioribus circulis eue-
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5524 nit re$pectu minorum. Ce-
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parents:
diff changeset
5525 lerius enim ab &aelig;quali vi
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parents:
diff changeset
5526 maiores mou&etilde;tur, &amp; pon-
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diff changeset
5527 dera mouent. quia maioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5528 circuli angulus nut&utilde; quen-
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parents:
diff changeset
5529 dam habetad minoris an-
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casties
parents:
diff changeset
5530 gulum. Et e$t vt diameter
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parents:
diff changeset
5531 ad diametr&utilde;: $ic omnis ma-
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casties
parents:
diff changeset
5532 ior circulus ad minorem.
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casties
parents:
diff changeset
5533 Infiniti autem $unt mino-
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parents:
diff changeset
5534 res. Si ver&ograve; etiam circulus
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casties
parents:
diff changeset
5535 nutum habet ad alterum.
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parents:
diff changeset
5536 Similiter ver&ograve; facile mobi-
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parents:
diff changeset
5537 lis ali&utilde; nut&utilde; habet circul',
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casties
parents:
diff changeset
5538 &amp; qu&aelig; &agrave; circulo mou&etilde;tur,
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parents:
diff changeset
5539 eti&atilde;$i $ua curuatura plan&utilde;
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parents:
diff changeset
5540 n&otilde; c&otilde;tingat: $ed vel prop&egrave;
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parents:
diff changeset
5541 planitiem, vel vt tro chle&aelig;.
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casties
parents:
diff changeset
5542 <p n=>107</p>
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casties
parents:
diff changeset
5543 <+>
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casties
parents:
diff changeset
5544 Etenim qu&aelig; $ic $e habent,
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parents:
diff changeset
5545 facillim&egrave; mou&etilde;tur, &amp; mo-
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parents:
diff changeset
5546 uent pondus. an non quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5547 parua $ui parte tangunt &amp;
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parents:
diff changeset
5548 offen$ant. Sed ob ali&atilde; cau-
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casties
parents:
diff changeset
5549 $am. H&aelig;c vero prius e$t di-
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parents:
diff changeset
5550 cta. quod circulus ex dua-
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casties
parents:
diff changeset
5551 bus lationibus effectus e$t.
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casties
parents:
diff changeset
5552 Itaque vnam harum $em-
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parents:
diff changeset
5553 per habet nutantem. Et e&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
5554 qua$i $emper moueatur,
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parents:
diff changeset
5555 mouent motores, quando
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parents:
diff changeset
5556 quocunque illum $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5557 dum peripheri&atilde; mouerint.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5558 Motam enim ip$am 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
5559 uent. Eam $iquidem, 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
5560 mouetur in obliqu&utilde;, 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
5561 to rimpellit: illa ver&ograve;, qu&aelig; $uper diametro efficitur, ip$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
5562 met $e circulus mouet.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5563 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5564 <P>Pr&aelig;terea nonnulli.] <I>Quarta cau$a e$t de perpetuo motu 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
5565 firmata nonnullorum, $ed innominatorum authoritate: &amp; $imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5566 litudine <*> contrar&yuml;s $ic. quemadmodum qu&aelig; perpetu&ograve; manent, 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
5567 nent propter contrarium motui renixum: $ic in quibus e$t ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5568 tum perpetua propen$io, perpetu&ograve; moueri ea debent.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5569 <P>Vt maioribus circulis.] <I>Nutus $eu perpetua propen $io 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
5570 firmatur e$$e $emper in circulo. quia quicunque $it $emper in $e habet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5571 concentricos minores infinitos, &amp; maior tum celerius mouetur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5572 &aelig;quali vi, &amp; cum eo etiam pondera: tum angulus maioris nutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5573 habet ad angulum &aelig;qualem, qui e$t in minori circulo. quia angull
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5574 maioris crura maiora $unt, $emp&eacute;rque e$t, vt diameter ad diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5575 trum. Sunt enim circulorum $emidiametri. Partes autem cum pari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5576 ter multiplicibus $unt in eadem ratione prop. 15. lib. 5. Diameter au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5577 tem maior celerius mouetur, h&icirc;c autem notandum e$t angulos non</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
5578 <foot>O ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5579 <p n=>108</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5580 <I>$umi pro inclinatione: $ed pro crurum</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5581 <fig>
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casties
parents:
diff changeset
5582 <I>l&otilde;gitudine. h&aelig;c autem figura hac cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5583 culorum concentricorum &amp; &agrave; cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5584 tris angulorum illu$trantur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5585 <P>Nutum habet.] <G>ro/ph</G> <I>Nutus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5586 vis e$t cuiu$que impre$$a &agrave; Deo &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5587 natura, qua in loco $uo naturali quie$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5588 cit, &amp; volentiab eo di$pellere, re$i$tit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5589 vnde</I> <G>an)t<*><+>sis</G> <I>renixus. Extra locum ver&ograve; ad eum per breui&szlig;i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5590 mam viam mouetur. Deus enim ne omnia in omnibus e$$ent, vni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5591 cuique a<*> initio proprium locum tribuit, in quo &amp; circa quem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5592 globatur, &amp; ibi h&aelig;ret. Hinc etiam $ingul&aelig; partes $uis totis natura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5593 inh&aelig;rent, &amp; in &yuml;s certum quendam $itum habent, &agrave;quo remot&aelig; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5594 ip$um redeunt, vt in arcubus &amp; balli$tis videre licet. Nutus autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5595 naturalis e$t: vel non naturalis: vel mixtus. Naturalis e$t is, quo res
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5596 qu&aelig;libet natura $ua mouetur: aut mou&etilde;ti re$i$tit habita ratione loci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5597 $ui naturalis, &amp; $itus $uarum partium. Non naturalis e$t is, quo nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5598 ratione loci naturalis, nec $itus partium mouetur, vt fortuitus vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5599 voluntarius. Ille vt ventorum, hic vt animalium. Mixtus parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5600 ceps e$t vtriu$que. Nutus voluntar&yuml; mille $unt modi n&otilde; aliter, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5601 voluntatis decreto determinabiles. At naturalis vnius tantum e$t
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parents:
diff changeset
5602 &agrave; loco non naturali ad naturalem. Hinc linea recta, qu&aelig; e$t &agrave; termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5603 no &agrave; quo incipit moueri ad terminum in quo quie$cit, linea nutus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5604 &amp; eadem in terminis contrar&yuml;s renixus dicitur, vt $i ab eo in quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5605 quie$cit aliena vis ad alium moueret: linea ver&ograve; ip$am $ecans ad an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5606 gulos in&aelig;quales e$t linea obliqui nutus, vel renixus: &amp; $ecans ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5607 rectos nec ad nutum e$t, nec ad renixum. Nunc igitur hoc cum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5608 rum e$$e experiamur, &amp; ratio conuincat, quant&ograve; quodque remotius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5609 e$t &agrave; loco, in quo naturaliter quie$ceret, tant&ograve; ad eum magis conari,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5610 remotioris maior erit nutus. In peripheria maiori punctum A re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5611 motius puncto D. Magis igitur nutat. E$t enim linea A C maior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5612 quam D E vt ex $imilibus triangulis A B C, D B E demon$trari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5613 facile pote$t. Et $ic angulus ad angulum nutare dicitur, cum in an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5614 gulorum &aelig;qualitate crurum e$t in&aelig;qualitas.</I></P>
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casties
parents:
diff changeset
5615 <P>Et e$t vt diameter.] <I>H&aelig;c analogia antea &agrave; nobis demon$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5616 ra e$t. Huc autem adducta confirmat in maioribus circulis maiorem</I>
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casties
parents:
diff changeset
5617 <p n=>109</p>
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diff changeset
5618 <I>nutum ad motum ine$$e: quam in minoribus. Sed cum omnis circu-
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diff changeset
5619 lus habeat intra $e infinitos concentricos, omnis peripheria nutum
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diff changeset
5620 habebit infinitum, &amp; ide&ograve; perpetuum ad motum.</I></P>
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diff changeset
5621 <P>Infiniti autem.] <I>Quod infiniti circuli minores concentrici in-
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diff changeset
5622 $int in quouis dato circulo $ic demon$trabimus. Sit circulus C B,
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diff changeset
5623 cuius $emidiameter D B bifariam</I>
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diff changeset
5624 <fig>
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diff changeset
5625 <I>$ecetur, vt in puncto E prop. 10.
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diff changeset
5626 lib. 1. Et centro D interuallo D E
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diff changeset
5627 de$criptus circulus po$t. 3. Hic
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diff changeset
5628 erit concentricus &amp; minor ip$o
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diff changeset
5629 C B def. 1. lib. 3. Rur$us recta D
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diff changeset
5630 E bifariam $ecetur, vt in puncto
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diff changeset
5631 F, &amp; centro D eodem interuallo
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diff changeset
5632 D F de$criptus circulus erit con-
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diff changeset
5633 centricus &amp; minor. Et eadem ra-
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diff changeset
5634 tione deinceps ad infinitum, cum rectam lineam $emper bi$$ecare li-
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diff changeset
5635 ceat prop. 10. lib. 1. Et $ic infiniti erunt circuli concentrici minores
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diff changeset
5636 in quouis circulo. quod erat demon$trandum.</I></P>
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diff changeset
5637 <P>Etiam$i curuatura.] <I>Repetit cau$am perpetui motus, aut nu-
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diff changeset
5638 tus ad motum, qu&aelig; in circulo e$t, cum $ua ab$ide id e$t curuatura at-
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diff changeset
5639 tingit planum, ine$$e, etiam$i non attingat, vtfit in rotis figulorum,
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diff changeset
5640 &amp; in trochleis. de quibus po$tea.</I></P>
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diff changeset
5641 <P>Sed ob aliam cau$am.] <I>Quinta cau$a de naturali motu $e-
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diff changeset
5642 cundum peripheriam h&icirc;c leuiter attingitur, vel potius ex anteceden-
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diff changeset
5643 tibus breuiter repetitur. Naturalis autem i$te motus intelligi debet,
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diff changeset
5644 dum fit circulus &agrave; rect&aelig; manente altero extremo, &amp; moto altero,
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diff changeset
5645 quod $uo motu de$cribit peripheriam. In facto enim circulo, vel glo-
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diff changeset
5646 bo naturali quatenus particeps e$$et grauitatis reuera motus natura-
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diff changeset
5647 lis e$t is, qu&ograve; rect&agrave; deor$um fertur. Sed eo impedito ob planum cui in-
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diff changeset
5648 cumbit non cedens, per vim aliquam impul$us globus ad motum cir-
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diff changeset
5649 cularem $e recipit.</I></P>
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diff changeset
5650 <P><+></P>
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diff changeset
5651 <P>10. Cur maiores circuli
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5652 $unt mouentiores.</P>
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diff changeset
5653 <P><+></P>
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5654 <P>Cur per maiores circu-
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diff changeset
5655 <foot>O iij</foot>
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diff changeset
5656 <p n=>110</p>
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diff changeset
5657 <+>
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diff changeset
5658 los $ublata &amp; tracta faci-
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diff changeset
5659 lius mouemus, vt $i tro-
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diff changeset
5660 chle&aelig; $int maiores minori-
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diff changeset
5661 bus, &amp; $cytal&aelig; $imiliter. An
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parents:
diff changeset
5662 quia quant&ograve; maior fuerit
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parents:
diff changeset
5663 radius in tempore &aelig;quali,
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parents:
diff changeset
5664 per maius mouetur $pati&utilde;.
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5665 Itaq; &aelig;quali in$i$tente one-
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5666 re, idem faciet, vt diximus
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5667 etiam libras maiores mi-
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diff changeset
5668 noribus e$$e exactiores. E$t
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parents:
diff changeset
5669 enim agina c&etilde;tr&utilde;. Et line&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
5670 in librili, qu&aelig; $untab agina
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5671 vtrimque, $unt radij.</P>
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5672 <head>COMMENTARIVS.</head>
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5673 <P>Cvrper maiores.] <I>In hoc capite tractatur problema de 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
5674 ioribus circulis, &amp; $ph&aelig;ricis. cur $cilicet facilius &amp; celerius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5675 moueantur &amp; moueant. Cui re$pondetur ex line&aelig; &agrave; centro longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5676 dine maiore. Ratio $ic di$ponetur.</I></P>
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parents:
diff changeset
5677 <P><I>Vbi line&aelig; &agrave; centro $unt maiores: ibi per motum &aelig;quali tempore
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parents:
diff changeset
5678 maius $patium conficitur, &amp; facilis etiam motio fit, tum an-
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parents:
diff changeset
5679 nexa onera mouentur.</I></P>
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parents:
diff changeset
5680 <P><I>In circularibus &amp; $ph&aelig;ricis maioribus line&aelig; &agrave; centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5681 $unt maiores: quam in minoribus.</I></P>
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parents:
diff changeset
5682 <P><I>Ergo circuli &amp; $ph&aelig;r&aelig; maiores &aelig;quali tempore maius $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5683 conficient, facilius mouebuntur, &amp; annexa onera moue-
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parents:
diff changeset
5684 bunt: quam minores.</I></P>
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parents:
diff changeset
5685 <P><I>Ex hoc colligimus maiores rotas in curribus vna volutatione tan-
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parents:
diff changeset
5686 tam lineam cum conficiant: quanta orbit&aelig; re$pondet, nec maiori 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
5687 ctu egeant: quam minores, tant&ograve; commodiores e$$e ad celeritatem, &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
5688 motus facilitatem: quant&ograve; maiores extiterint. Et cum in facili tractu
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parents:
diff changeset
5689 biroti onerati $arcina tendere debeat ad &aelig;quilibrium, vt neque tolla-
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parents:
diff changeset
5690 tur de collo iugum pr&aelig; pondere po$teriore, neque $ic prematur, vt $i-
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parents:
diff changeset
5691 mul iumentum trahat, &amp; ge$tet: $ed potius trahat: quam ge$tet: in</I>
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casties
parents:
diff changeset
5692 <p n=>111</p>
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parents:
diff changeset
5693 <I>maioribus autem rotis &aelig;quilibrium illud facilius $it, quia $arcina al-
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casties
parents:
diff changeset
5694 tior, &amp; $ictrahitur tantum: in paruis depre&szlig;ior, $icque nonnihil le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5695 uanda. Vbi autem $u$tinere &amp; trahere opus e$t, vt in bellicis tor-
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casties
parents:
diff changeset
5696 mentis vnus equus iugum $u$tinere, al&yuml; loris trahere debent.</I></P>
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casties
parents:
diff changeset
5697 <P>Vt $i tro chle&aelig;.] <I>Problema illu$tratur duobus exemplis Tro-
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casties
parents:
diff changeset
5698 chle&aelig; &amp; Scytal&aelig;. E$t autem Trochlea in$trumentum tractorium ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5699 rotula circa axiculum fixum alicubi appen$um per fun&etilde; ductarium,
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casties
parents:
diff changeset
5700 in eius circumferentia circumuoluta. Geminatur aliquando, tripli-
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parents:
diff changeset
5701 catur, &amp; amplius multiplicatur. Vnde $unt illa tractoria infinita-
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casties
parents:
diff changeset
5702 rum propemodum virium Tri$pa$ton, Pente$pa$ton, Poly$pa$ton, in
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parents:
diff changeset
5703 quibus rotul&aelig; $ibi inuicem $ub$eruientes, &amp; tanquam onus attra-
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parents:
diff changeset
5704 hendum diuidentes $umma facilitate ip$um attrahunt, de quo qui
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parents:
diff changeset
5705 multa admirabilia videre volet, videat apud Guidum Vbaldum.</I></P>
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diff changeset
5706 <P>Et$cytal&aelig;.] <I>Scytala lignum e$t cylindricum cuius pro duplici
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parents:
diff changeset
5707 v$u duo genera $tatuuntur. Vnus v$uum e$t ad attrahendum, &amp; $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
5708 in eius altera extremitate ferrum quoddam inflexum e$t pro manu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5709 brio, vbi annectitur potentia mouens: vel loco ferri vectes emerg&utilde;t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5710 aliquot, qui vici&szlig;im per vim annexam mouentur: vel loco vectis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5711 rota maior, quod idem e$t: $icque vel manubrio, vel vectibus, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5712 rota mota vn&agrave; mouetur illud lignum cylindricum cum $uo fune du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
5713 ctario. Et cum eo pondus alligatum eleuatur. Hoc genus $cytal&aelig; 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
5714 idem quod axis in peritrochio de quo po$tea. De hoc autem genere lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
5715 cus hic intelligi debet. De altero dicetur cap. 12.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
5716 <P>Vt diximus ctiam.] <I>Confirmatio e$t propo$itionis pr&aelig;ceden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5717 tis $yllogi$mi per $peciem libr&aelig;, qu&aelig; tant&ograve; exactior exi$tit: quant&ograve; li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5718 brile habet longius, &egrave; $uperioribus repetitam. C &aelig;terum pr&aelig;ter proble-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5719 ma huius capitis alia qu&aelig;ri po$$unt ad idem fer&egrave; pertinentia $citu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5720 digna, nec minus $ubtilia, nemp&egrave;. Quare bin&aelig; rot&aelig; quaternis facilio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5721 res $int. Quare prioribus po$teriores rotas maiores e$$e oporteat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5722 Quare maior $arcina in anteriore plau$tri parte poni debeat. Soluitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5723 primum quia rota qu&aelig;libet, vt grauis, ad centrum $pectat, &amp; arceri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5724 de$cen$u e$t contra eius naturam: arcetur &amp; cum tollitur $ur$um, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5725 cum trahitur adlatus, quipp&egrave; in diuer$um per ambit&utilde;. Plures igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5726 rot&aelig; augebunt onus, &amp; ideo trahentis laborem. Itaque bin&aelig; rot&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5727 quaternis faciliores erunt, vnde bellicis tormentis, licet immanibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5728 du&aelig; $atis $unt. Quod autem quis obijceret per rotas plures pondus plus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5729 <p n=>112</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5730 <I>di$tribui, &amp; tanquam diuidi. Id $an&egrave; verum e$t &amp; vtile ad facili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5731 tatem $u$tentationis, non item ad tractum. Et$i biroti $arcina in pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5732 toritum transferatur, eadem iumento grauior fiet tant&ograve;, quant&ograve; gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5733 uior currus. Sed fallaci&aelig; cau$a e$t quod petorita birotis plus $u$tinent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5734 Secundum quia maiores tanquam altiores prioribus minoribus qua$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5735 incumbunt, $icque in proclinatiores iam partes onus recumbens&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5736 facilius motis maioribus, vna quoque mouetur facilius. Tertium ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5737 candem cau$am $oluitur. Sic enim impo$ita $arcina qua$i inferiore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5738 loco pendens adiuuat tractum. Hinc e$t quod quadrupedum omni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5739 generi $olis Gyraffis exceptis crura po$teriora longiora $unt. Mouen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5740 tur enim pul$u primum, deinde tractu. Commodius autem pellit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5741 quod grauius e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5742 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5743 <P>11. Cur facilius mouetur li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5744 brile ab$que pondere.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5745 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5746 <P>Cur librile quum fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5747 $ine p&otilde;dere, facilius moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5748 tur: qu&atilde; quum habet pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5749 dus. Similiter ver&ograve; &amp; orbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5750 culus, vel aliud tale, gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5751 uius quidem, maius 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
5752 minore &amp; leuiore. An quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5753 non $olum in contrarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5754 id, quod graue e$t: $ed eti&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5755 in obliqu&utilde; difficulter mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5756 uetur. Difficile enim 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
5757 contr&agrave; propen$ionem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5758 uere. At qu&ograve; propendet, fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5759 cile: non propendet aut&egrave;m in obliquum.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5760 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5761 <P>Cvrlibrile.] <I>In hoc capite $peciale tractatur problema, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5762 generale e$$e po$$et. E$t autem de librili. cur qu&ograve; leuius, vel $ine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5763 pondere cum $it, deprimitur facilius &amp; mouetur: quam cum graue</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5764 <foot><I>e$t.</I></foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5765 <p n=>113</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5766 <I>e$t. Exempli gratia vnum ligneum $it, alterum ferreum, illud faci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5767 lius moueatur: quam hoc, quod perinde e$t de vecte, de rotis, de glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5768 bis, &amp; eiu$modi contra naturam motis, $uppo$ita eadem firmitate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5769 Ratio erg&ograve; qu&aelig; redditur generalis e$t, &amp; hoc $yllogi$mo compre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5770 hendetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5771 <P><I>Motum contra naturam e&ograve; difficilius fertur, qu&ograve; ip$um grauius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5772 e$t. Plus enim re$i$tit non $olum in contrarium nutus $ui, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5773 &amp; in obliquum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5774 <P><I>Librile moueri in obliquum (vt mouetur nece$$ari&ograve; propter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5775 $u&aelig; agin&aelig; $eu centri immobilitatem: $ic enim non rect&agrave; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5776 centrum mundi quo natura fertur, de$cendit: $ed per ambi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5777 tum circuli) e$t contra naturam grauitatis $u&aelig; moueri, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5778 rotam &amp; eiu$modi.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5779 <P><I>Ergo librile qu&ograve; grauius, e&ograve; difficilius mouebitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5780 <P><I>Hinc collige ex leuiori materia facta, dummodo firma, agiliora e$$e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5781 &amp; exactiora. vnde petorita no$tra rotis in orbita ferreis pr&aelig;dita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5782 difficilius trahuntur, quam</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5783 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5784 <I>nobilium Polonorum, qu&aelig; ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5785 ligno $olo compacta $unt.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5786 <P>Non propendet.] <I>Linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5787 nutus grauis alicuius deor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5788 $um e$t recta perpendicularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5789 in$i$t&etilde;s plano horizontis, h&atilde;c
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5790 qu&aelig; $ecat ad in&aelig;quales an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5791 gulos, e$t obliqua, cuiu$mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5792 di e$t arcus B F ad rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5793 B G lineam nutus puncti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5794 B.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5795 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5796 <P>12. Cur $uper $cytalis onera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5797 facilius ge$tantur: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5798 $uper curribus.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5799 <P><+></P>
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casties
parents:
diff changeset
5800 <P>Cur onera facilius ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5801 $tantur $cytalis: quam cur-
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
5802 <foot>P</foot>
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casties
parents:
diff changeset
5803 <p n=>114</p>
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casties
parents:
diff changeset
5804 <+>
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casties
parents:
diff changeset
5805 ribus etiam magnas rotas
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casties
parents:
diff changeset
5806 habentibus, cum ip$&aelig; par-
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parents:
diff changeset
5807 uas habeant. An quia one-
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parents:
diff changeset
5808 ra in $cytalis ad nihil offen-
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parents:
diff changeset
5809 $ant: in curribus vero ha-
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parents:
diff changeset
5810 bent axem, ad quem offen-
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parents:
diff changeset
5811 $ant. Supern&egrave; enim pre-
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parents:
diff changeset
5812 muntip$um, &amp; in obliqu&utilde;.
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parents:
diff changeset
5813 In $cytalis vero ad h&aelig;c
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parents:
diff changeset
5814 duo mouentur, &amp; infern&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5815 $cilicet $ub$trato $patio,
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parents:
diff changeset
5816 &amp; onere $uperimpo$ito. In
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parents:
diff changeset
5817 vtri$que enim his locis re-
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diff changeset
5818 uoluitur circulus, &amp; conci-
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diff changeset
5819 tatus impellitur.</P>
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
5820 <head>COMMENTARIVS.</head>
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parents:
diff changeset
5821 <P>Cvr onera.] <I>Secundum genus $cytal&aelig; e$t lignum ferrumue
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diff changeset
5822 cylindricum oblongum in extremis rotulas habens intra annu-
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diff changeset
5823 los currui</I>
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parents:
diff changeset
5824 <fig>
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parents:
diff changeset
5825 <I>affixos
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parents:
diff changeset
5826 ver$atile,
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parents:
diff changeset
5827 vt e$t fi-
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parents:
diff changeset
5828 gura A
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casties
parents:
diff changeset
5829 B 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
5830 mota iu-
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parents:
diff changeset
5831 go rotis annexo, contr&agrave;, quam in curribus, in quibus non rotis: $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
5832 currui annectitur, omnibus $uis partibus mouetur duobus motibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5833 $imul, circumcirca, &amp; antror$um. quod cau$a e$t vt leuius vertatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5834 quam rota in curru. vt cuius axis procedendo tant&ugrave;m antror$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
5835 moueatur, non autem circum circa vertatur. Vnde fit vt axis 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
5836 premat magis, &amp; veluti rotam affigat plano, $icque remoretur: 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
5837 tra in $cytala rot&aelig; dummodo maiores $int, quam vt terra obruantur
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
5838 &agrave; $ubiecta planicie inferne ip$am circunferentiam atterente impel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5839 luntur. Supern&egrave; etiam ab onere cylindricum premente. Ob has itaque</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
5840 <p n=>115</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5841 <I>cau$as $cytala commodior erit, &amp; expeditior ad onera conuehenda,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5842 licet minores, quam currus habeat rotas, quod non repugnat &yuml;s 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
5843 ante 10. cap. dicta s&utilde;t derotis maioribus. Aliud enim facilius attol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5844 lere, &amp; trahere qu&aelig;cunque pondera, aliud conuehere. Scytala tamen
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
5845 pote$t e$$e illud curriculi genus quod Galli vocant</I> Traineau, <I>Itali</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
5846 Stra$cino, <I>apud quendam non ineruditum legi dici po$$e traham.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5847 H&aelig;c autem annexa ligno cylindrico $olas rotas habet ver$atiles, 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
5848 quant&ograve; minores, tant&ograve; minus occur$ant $ubiecto pauimento. vt 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
5849 qu&ograve; circulus rot&aelig; maior e$t, e&ograve; eius cum recta &agrave; qua tangitur in pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5850 no minor e$t an-</I>
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parents:
diff changeset
5851 <fig>
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parents:
diff changeset
5852 <I>gulus. Et contr&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5853 qu&ograve; circulus 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
5854 nor, e&ograve; angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5855 contactus maior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5856 euadit. vt angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5857 lus A B C ro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5858 t&aelig; maioris 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
5859 nor e$t angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5860 A B D rot&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5861 minoris: &amp; con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5862 tr&agrave; vtrolibet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5863 maior e$t angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5864 lus A B E rot&aelig; minoris.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5865 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5866 <P>13. Cur mi$$ilia longius &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5867 funda: quam &agrave; manu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5868 proijciuntur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5869 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5870 <P>Cur mi$$ilia longius fe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5871 runtur &agrave; funda, quam &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5872 manu, etiam$i proijciens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5873 melius manu, comprehen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5874 dat: quam $u$pendens &egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5875 fo$$a fund&aelig;? Pr&aelig;terea $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5876 duo pondera moueat, fun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5877 dam $cilicet, &amp; mi$$ile: illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5878 <foot>P ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5879 <p n=>116</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5880 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5881 ver&ograve; modo mi$$ile dunta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5882 xat. An quia in funda mi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5883 $ile commotum proijciens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5884 iacit. In orbem enim volu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5885 tans $&aelig;pius, proijcit. E ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5886 nu autem initium &agrave; quiete
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5887 capit. At omnia commota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5888 facilius: quam quie$centia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5889 mou&etilde;tur. An propter hoc:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5890 $ed &amp; quia in v$u funda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5891 rum manus quidem fit 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
5892 trum: funda vero linea ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5893 centro. quant&ograve; autem fue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5894 rit h&aelig;c maior, t&atilde;t&ograve; celerius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5895 mouetur. At iactus &agrave; manu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5896 re$pectu fund&aelig; breuis e$t.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5897 <head>COMMENTARIVS.</head>
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diff changeset
5898 <P>A Funda.] <I>Funda e$t funiculus duobus capitibus manu captus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5899 altero cum an$ula digito circumuoluta ne exeat, altero $ine an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5900 $ula, vt dimitti po&szlig;it. In medio latior, &amp; paululum excauatus, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5901 ibi mi&szlig;ile contineatur, quod aliquoties circumacto in orbem funicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5902 lo, &amp; ab vno capitum dimi$$o vehementer pro&yuml;citur. Inuentam &agrave;
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casties
parents:
diff changeset
5903 Phenicibus fui$$e refert Plinius cap. 56. lib. 7. ne manus iaculi a$pe-
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casties
parents:
diff changeset
5904 rioris attrectatione l&aelig;deretur, &amp; vt longius atque validius pro&yuml;ce-
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casties
parents:
diff changeset
5905 retur. Qu&aelig; cum intelligeret pa$tor ille exilis, $ed Deo dilectus Dauid
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casties
parents:
diff changeset
5906 funda aduer$us Goliathem immanem gigantem non aliter, quam
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casties
parents:
diff changeset
5907 $ummo impetu pro$ternendum, prudenter $e$e armauit. Erat autem
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casties
parents:
diff changeset
5908 fund&aelig; v$us ade&ograve; frequens Balearium in$ularum populis, vt matres
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casties
parents:
diff changeset
5909 filios non al&yuml;s auibus ve$ci paterentur, quam quas funda $ibi com-
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casties
parents:
diff changeset
5910 para$$ent. Vnde &amp; funda balearis appellatur &agrave; Po&euml;ta,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5911 <P>Stuppea torquentur balearis verbera fund&aelig;.
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casties
parents:
diff changeset
5912 <I>Nec$olum lapides funda pro&yuml;ci$olere: $ed &amp; alia, vt plumbum, pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5913 tet ex Ouidio.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5914 <p n=>117</p>
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casties
parents:
diff changeset
5915 <P>Non $ecus exar$it quam cum balearica plumbum</P>
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casties
parents:
diff changeset
5916 <P>Funda iacit, volat illud, &amp; in cande$cit eundo.</P>
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parents:
diff changeset
5917 <P><I>Et aduer$um bellatores ca&szlig;idibus, cataphractis, lorici$que munitos
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casties
parents:
diff changeset
5918 teretes lapides de funda de$tinatos $agittis omnibus e$$e grauiones
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casties
parents:
diff changeset
5919 $crip$it Vegetius. Quandoquidem membris integris, lethale tamen</I>
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casties
parents:
diff changeset
5920 <marg>Cap. 16. lib
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casties
parents:
diff changeset
5921 1. de re mili</marg>
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casties
parents:
diff changeset
5922 <I>vulnus importent, &amp; $ine inuidia $anguinis ho$tis lapidis ictu in-
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parents:
diff changeset
5923 tereat Qu&aelig; res ide&ograve;, inquit, ab vniuer$is tyronibus frequenti exerci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5924 tio di$cenda e$t, quia fund&atilde; portare nullus labor. Et interdum euenit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5925 vt in lapido $is locis conflictus habeatur, vt aut mons aliquis $it de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5926 fendendus, aut collis, &amp; ab oppugnatione ca$tellorum $iue ciuitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5927 lapidibus barbari fundi$que $int propellendi.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5928 <P>Cur mi$$ilia.] <I>Qu&aelig;rit h&icirc;c Ari$toteles cur iaculum mi$$um cum
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casties
parents:
diff changeset
5929 funda longius pro&yuml;citur, quam $i manu tantum. Cui priu$quam re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5930 $pondeat, duo repugnare dicit, alterum, quia proiectum &agrave; manu $ola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5931 melius comprehendatur: quam quod &agrave; funda $u$penditur, melior au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5932 tem comprehen$io conducit ad longior&etilde; iactum: alterum, quia proij-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5933 ciens cum funda duo $imul proijcit fundam $cilicet &amp; iaculum: ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5934 nu autem vnum tantum, nempe iaculum. At difficilius duo mouere:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5935 quam vnum. His incommodis tamen neglectis $oluit Ari$toteles
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5936 problema dupliciter, priore modo &egrave; motu incitato, &amp; contraria quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5937 te. Syllogi$mus $ic e$t,</I></P>
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casties
parents:
diff changeset
5938 <P><I>Qui initium proiectionis capit &agrave; motu longius iacit: quam &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5939 quiete. Quies enim vt contraria motui, ei repugnat, &amp; ip$i re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5940 nitens, ne fiat impedit. Ide&oacute;que omnia commota facilius: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5941 quie$centia mouentur.</I></P>
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parents:
diff changeset
5942 <P><I>At proijciens cum funda initium capit &agrave; motu. Ante vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5943 brationem enim funditor fundam $&aelig;pius in circulum
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casties
parents:
diff changeset
5944 circumagit: contr&agrave; cum manu, initium capit &agrave; quiete: aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5945 $i &agrave; motu, mult&ograve; leuiore tamen.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5946 <P><I>Igitur proiiciens cum funda longius iacit: quam cum manu $ola.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
5947 <P>E fo$$a fund&aelig;.] <I>In Gr&aelig;co vocabulum e$t,</I> <G>to\kai/ar,</G> <I>$ine vo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5948 cabulo</I> <G>sfendo/nhs.</G> <I>Significat aut&etilde;</I> <G>kaiar</G> <I>fo$$am terr&aelig; concu$$u fact&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5949 qu&aelig; $ignificatio quid ad rem pertineat non video, ni$i per metapho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5950 ram intelligamus eam fund&aelig; partem, qu&aelig; vt latior, ita &amp; in $inum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5951 leuiter excauatur ad iaculum continendum, &amp; $ic conuenit rei pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5952 po$it&aelig;: nonnulli tamen putarunt delendum</I> <G>to\ kai/ar</G> <I>&amp; loco cius</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5953 <foot>P iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5954 <p n=>118</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5955 <I>reponendum</I> <G>o)i+/zo\n</G> <I>id e$t omne quod iaculamus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5956 <P>At omnia commot&aelig;.] <I>H&aelig;c cau$a generalis erit trice$imo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5957 primo capiti huius libri.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5958 <P>An propter hoc.] <I>Alter e$t modus $olutionis problematis
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casties
parents:
diff changeset
5959 $umptus &egrave; funda tanquam radio longiore. Syllog. $ic e$t. Quant&ograve; li-
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casties
parents:
diff changeset
5960 nea &agrave; centro e$t maior, tant&ograve; celerius mouet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5961 <P><I>In proiectione cum funda manus e$t centrum, funda ver&ograve; 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
5962 linea &agrave; centro: &amp; longior manu.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5963 <P><I>Igitur proiectio cum funda longior fiet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5964 <marg>Cap 1. lib. 2.
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casties
parents:
diff changeset
5965 de v$. part.</marg>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5966 <P>Manus quidem.] <I>Manus apud veteres, vt videre e$t apud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5967 Gal. tres $unt partes vna quidem brachium, alia vero</I> <G>ph/xus</G> <I>id 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
5968 cubitus, &amp; tertia</I> <G>a)kro/keiron</G> <I>hoc e$t $umma extremave manus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5969 H&aelig;c et$i commoueatur cum fundam rotat tanquam manens loco,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5970 tamen &amp; centrum habetur, funda autem radius e$t: at cum $ine fun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5971 da proiectio fit, articulus quo brachium cum humero connectitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5972 videtur potius habere rationem centri, &amp; brachium cum cubito, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5973 extrema manu rationem line&aelig; &agrave; centro.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5974 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5975 <P>14. De collopibus &amp; $uc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5976 culis.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5977 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5978 <P>Cur circa eandem erga-
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casties
parents:
diff changeset
5979 tam collopes maiores mi-
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casties
parents:
diff changeset
5980 noribus facilius mou&etilde;tur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5981 &amp; ip$&aelig; $uccul&aelig; graciliores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
5982 ab ead&etilde; vi cra$$iotibus, An
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casties
parents:
diff changeset
5983 quia $uccula &amp; ergata cen-
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casties
parents:
diff changeset
5984 trum e$t. Longitudines au-
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5985 tem di$tantes $unt line&aelig; ex
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5986 centro. At &amp; celerius mo-
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5987 uentur, &amp; plus ab eadem vi
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5988 line&aelig; maior&utilde; circulorum:
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5989 quam minor&utilde;. Ab eadem
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5990 cnim vi extremum, quod
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5991 longi&ugrave;s e$t &agrave; centro, plus
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5992 transfertur, ideo collopas
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5993 organa ad ergatas adijci&utilde;t,
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5994 <p n=>119</p>
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5995 <+>
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5996 quibus facilius vertunt. In
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5997 $ucculis vero tenuibus ma-
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5998 ius fit id quod extra e$t, li-
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5999 gnum. Et id linea e$t qu&aelig;
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6000 ex centro.</P>
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6001 <head>COMMENTARIVS.</head>
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6002 <P>Cvr circa eandem.] <I>In hoc capite continentur duo proble-
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6003 mata vnum de ergatis, alterum de $ucculis. Illud cur ergat&aelig; &agrave;
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6004 maioribus collopibus facilius mouentur: quam &agrave; minoribus. Hoc cur
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diff changeset
6005 $uccul&aelig; graciliores etiam facilius mou&etilde;tur, quam cra&szlig;iores. Vtrum-
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6006 que $oluitur ex line&aelig; &egrave; centro longitudine maiore.</I></P>
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6007 <P><I>Maiores line&aelig; ex centro facilius &amp; celerius mouentur ab eadem
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6008 vi minoribus.</I></P>
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6009 <P><I>Ergata &amp; $uccula collopibus ver$at&aelig;, $unt centrum, &amp; col-
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diff changeset
6010 lopes $unt line&aelig; ex centro, &amp; quidem tant&ograve; maiores, quan-
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diff changeset
6011 t&ograve; $uccula gracilior e$t (pars enim quam cra&szlig;itudo tegeret
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diff changeset
6012 ob gracilitatem detegitur.)</I></P>
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diff changeset
6013 <P><I>Ergo ergata &amp; $uccula gracilior &agrave; collopibus maioribus facilius
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6014 ab eadem vi mouebuntur.</I></P>
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diff changeset
6015 <P><I>C&aelig;terum quid h&icirc;</I> <G>zugo\n</G> <I>ergata differat &agrave; $uccula,</I> <G>o)/non</G> <I>Gr&aelig;ci vo-
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diff changeset
6016 cant, &amp; $cytal&aelig; primum genus, parum video, ni$i fulcris, aut cra&szlig;i-
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diff changeset
6017 tudine. Horum enim vnumquodque axis e$t circum quem voluitur
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diff changeset
6018 funis ductarius ad tollenda, vel trahenda onera tran$uer$as habens
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diff changeset
6019 collopas, id e$t ligna oblonga in altera extremitate, vel vtraque, qu&aelig;
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diff changeset
6020 $unt tanquam vectes &agrave; vi adiuncta deprimendi vici&szlig;im. Differre
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diff changeset
6021 tamen po$$unt quod ergata erectum axem habeat, vel fulciatur dua-
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diff changeset
6022 bus trabibus perpendiculariter erectis: $uccula $upinum habet axem
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diff changeset
6023 vel etiam quatuor tignis ex vtraque parte binis $u$tentetur, vnde</I>
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diff changeset
6024 <G>o)/nos</G> <I>dicitur, tanquam ge$tanti cuidam a$ino $imilis $it. Huius fecit
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diff changeset
6025 mentionem Hippocrates $ect. 3. lib. de fract. Ex vniuer$is inquit,
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diff changeset
6026 machinationibus, qu&aelig; ab hominibus excogitat&aelig; $unt, h&aelig; tres om-
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diff changeset
6027 nium valenti&szlig;im&aelig;,</I> <G>o)/nou</G> <I>id e$t axis ver$atio, impul$us per vectem, &amp;
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diff changeset
6028 cuneus adactus. Namque homines $ine aliquo vno, vel $ine omnibus
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diff changeset
6029 nullum opus, quod maximam vim po$tulet, perficiunt. H&aelig;c Hipp.</I>
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diff changeset
6030 <p n=>120</p>
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diff changeset
6031 <I>Succularum tam&etilde; multa $unt genera vt videre e$t apud Vitruuium.</I></P>
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6032 <P><I>Et Pappus lib. 8. Mathemat collectionum fabricam in$trumenti
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diff changeset
6033 docet, quod huc referri debet, e$t autem eiu$modi. vocat axem M B,</I>
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diff changeset
6034 <fig>
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parents:
diff changeset
6035 <I>tympan&utilde; C D, circa tympani peripheri&atilde;$cytalas vel collopes in fora-
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parents:
diff changeset
6036 minibus tympani F G, H F, &amp; ct:ita, vt potentia qu&aelig; $emper in
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parents:
diff changeset
6037 $cytalis e$t, vel in peripheria tympani vt in F, dum circumuertit
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parents:
diff changeset
6038 tympanum, &amp; axem $ur$um quoque mouet pondus K axi appen$um
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diff changeset
6039 fune M circa axem reuoluto. Qui amplius videre volet, cur ab
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diff changeset
6040 hoc in$trumento, quod axis in peritrochio vocatur, magna pondera
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diff changeset
6041 ab exigua virtute, quo ve etiam modo moueantur, qu&aelig; ratio tempo-
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diff changeset
6042 ris, $pat&yuml;, potenti&aelig;, ac moti ponderis inter $e, &amp; vt v$us ip$ius ad ve-
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diff changeset
6043 ctem referatur. Videat apud Guidum V baldum in Mechanicis. Ad
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diff changeset
6044 hoc genus etiam in$trumenti referantur ingentes ill&aelig; rot&aelig; in vno
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diff changeset
6045 axe quarum vna labore vnius atque alterius hominis vertitur: alte-
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parents:
diff changeset
6046 ra $itulis quibus in $ua circumferentia accommodate dispo$itis con-
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parents:
diff changeset
6047 ferta e$t $ui conuer$ione ex vna parte aquam Sequan&aelig; $eptis contra-
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parents:
diff changeset
6048 ctam exhau$it, ex altera ali&ograve; refudit, vt ex lapide quadrato firma
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parents:
diff changeset
6049 iacer&etilde;tur fundamenta illius eximij pontis, qui magno ornamento &amp;
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diff changeset
6050 commoditate celeberrim&aelig; vrbium Luteti&aelig;, iu$$u Henrici III. Regis</I>
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parents:
diff changeset
6051 <foot><I>no$tri</I></foot>
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diff changeset
6052 <p n=>121</p>
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diff changeset
6053 <I>no$tri Chri$tiani&szlig;imi inchoatus, &amp; maiori iam ex parte con$tru-
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diff changeset
6054 ctus perfectionem ab Henrico IIII. Rege nunc no$tro magnifi-
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parents:
diff changeset
6055 centi&szlig;imo de$iderat, ea in parte, qua flumen &agrave; $chola S. Germani
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parents:
diff changeset
6056 ad plateam Augu$tinorum traducitur. Hanc, vt $pero, exorabit cla-
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parents:
diff changeset
6057 ri&szlig;imus vir dominus Marlyius rationum regiarum pr&aelig;$es, &amp; mer-
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casties
parents:
diff changeset
6058 catorum pr&aelig;fectus digni&szlig;imus.</I></P>
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diff changeset
6059 <P><+></P>
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parents:
diff changeset
6060 <P>15. De fractura ligni.</P>
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parents:
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6061 <P><+></P>
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casties
parents:
diff changeset
6062 <P>Cur lignum eiu$d&etilde; ma-
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parents:
diff changeset
6063 gnitudinis facilius &egrave; genu
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casties
parents:
diff changeset
6064 fr&atilde;gitur, $i in extremis ma-
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parents:
diff changeset
6065 nus &aelig;qualiter diductas ha-
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parents:
diff changeset
6066 bens fregerit: quam $i ad
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casties
parents:
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6067 genu propinquas habuerit.
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parents:
diff changeset
6068 Pr&aelig;terea $i ad terram ap-
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parents:
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6069 plicans, &amp; pede impellens,
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casties
parents:
diff changeset
6070 manu di$tante frangat: qu&atilde;
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casties
parents:
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6071 propinqua. An quia ill&icirc;c
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parents:
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6072 genu quidem e$t centrum:
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casties
parents:
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6073 h&icirc;c ver&ograve; pes. quant&ograve; autem
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6074 quodque &agrave; centro fuerit
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6075 di$tantius, id omne facilius
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6076 mouetur. Quod frangitur autem moueri nece$$e e$t.</P>
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6077 <head>COMMENTARIVS.</head>
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6078 <P><I>Mos e$t ignem excitare in paruo foco volentium, baculos lon-
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diff changeset
6079 giores bifariam frangere. Itaque arreptos tracto$que vtraque
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diff changeset
6080 manu per extrema medios ad genu applicantes, parua vi frangunt.
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diff changeset
6081 Idem faciunt $i alterum extremorum ad terram applicent: alterum
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diff changeset
6082 eleuatum obliqu&egrave; manu teneant, &amp; medium pede conculcent. Qu&aelig;-
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6083 rit igitur Ari$toteles cur fractio h&aelig;c facilior fit manibus ad extre-
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6084 ma diductis: quam ad medium propius accedentibus. Et $oluit &egrave; ra-
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6085 dijs maioribus, $ic.</I></P>
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6086 <P><I>Quant&ograve; quidque &agrave; centro fuerit remotius, tant&ograve; facilius moue-
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6087 tur, &amp; quia fractio e$t motio, frangitur.</I></P>
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6088 <P><I>In fractione ligni cum manus $unt in extremis, remotiores</I>
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6089 <foot>Q</foot>
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diff changeset
6090 <p n=>122</p>
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diff changeset
6091 <I>$unt &agrave; centro (quod e$t genu cum ad hoc applicatum e$t li-
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diff changeset
6092 gnum: velpes, cum ip$um pede conculcatur) quam cum
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diff changeset
6093 non $unt in extremis.</I></P>
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diff changeset
6094 <P><I>Ergo fractio ligni manibus in extremis exi$tentibus facilior fiet
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diff changeset
6095 quam $i propius exi$tant.</I></P>
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6096 <P><I>Qu&aelig;ri autem hic pote$t, an qui $ic fu$tem frangunt, genu non offen-
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6097 dant. Et non offendere experientia comprobat. Ratio tamen non ita
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diff changeset
6098 aperta e$t. E$t autem vt arbitror, quia genu vt centrum, vel hypo-
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6099 mochlium quie$cit: partes vero fu$tis, vbi fit ruptio, exterius mouen-
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diff changeset
6100 tur. Itaque &agrave; genu di$cedunt. Ob eandem cau$am cyphi duo vitrei
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6101 &aelig;quales, &amp; aqua pleni fu$tem oblongum extremis $uis $uper impo$i-
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6102 tum adacto celeriter per medium altero fu$te frangi ip$i infracti &amp;
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diff changeset
6103 $ine aqu&aelig; effu$ione tolerant. In hoc tamen differentia e$t, quod cyphi
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6104 hypomochlium $unt, it&aacute; que in extremis, &amp; partes &agrave; cyphis ad me-
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6105 dium $unt line&aelig; &agrave; centro, $icque impul$&aelig; mouentur. Vt &amp; cum cru-
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6106 ris arietini os nudatum perio$tio, &amp; manus eo, qui ad pollicem e$t
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diff changeset
6107 monticulo atque hypothenare $u$tentum dor$i glad&yuml; ad medium ce-
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diff changeset
6108 leriter adacti vno ictu $ine manus offen$ione frangitur, contr&agrave;,
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6109 quam in fu$te &egrave; genu fracto. H&aelig;c vulgaria $unt, $ed cau$a non vti-
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6110 que vulgaris.</I></P>
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6111 <P><+></P>
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6112 <P>16. Cur croc&aelig; rotund&aelig;.</P>
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6113 <P><+></P>
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6114 <P>Cur circa littora croc&aelig;,
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6115 vt vocantur, rotund&aelig; $unt,
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6116 &egrave; magnis qui erant &agrave; prin-
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6117 cipio lapidibus, &amp; o$treis
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6118 fact&aelig;. An quia in motibus
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6119 magis &agrave; medio di$tantia ce-
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6120 lerius fer&utilde;tur. Etenim me-
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6121 dium quidem fit centrum:
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6122 interuall&utilde; vero linea ex c&etilde;-
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6123 tro. Semper aut&etilde; maior ab
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6124 ead&etilde; motione maior&etilde; de-
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6125 $cribit circul&utilde;. Et quod e$t
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6126 maius $pati&utilde; &aelig;quali t&etilde;pore
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6127 <p n=>123</p>
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6128 <+>
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6129 tr&atilde;fiens celerius fertur. La-
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6130 ta vero celerius in &aelig;quali
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6131 $patio, vehementius pul-
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6132 $ant. Et magis pul$antia
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6133 magis etiam percutiuntur.
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6134 Ita que nece$$e e$t plus di-
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6135 $tantia &agrave; medio $emper at-
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6136 teri. Et qu&aelig; id patiuntur,
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6137 rot&utilde;da fieri. Crocis autem
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6138 propter maris motum, cum
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6139 quo etiam mouentur, con-
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6140 tingit in perpetua motione
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6141 e$$e, &amp; in conuolutione of-
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6142 fen$are, &amp; nece$$e e$t pr&aelig;-
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6143 cipu&egrave; id contingere earum
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6144 extremitatibus.</P>
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6145 <head>COMMENTARIVS.</head>
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6146 <P>Cvr circa.] <I>Credibile e$t duo lumina $apienti&aelig;, &amp; virtutis,
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6147 Pub. Scipionem Africanum minorem, &amp; Caium L&aelig;lium cum
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6148 propter actuo$am vitam animi remi&szlig;ioni aliquando acquie$centes,
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diff changeset
6149 &amp; ruri feriantes ad Caietam portum Campani&aelig;, Lucrinumque la-
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diff changeset
6150 cum conchas id e$t duriores te$tas pi$ci&utilde;, vt purpur&aelig;, muricis, o$treo-
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diff changeset
6151 rum, &amp; vmbilicos id e$t rotundos calculos in $peciem no$tri vmbi-</I>
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6152 <marg>Lib. 2. de
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6153 Orat. cap. 8.
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6154 lib. 8.</marg>
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6155 <I>lici puerorum more colligerent (vt recen$ent Cicero &amp; Valerius
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diff changeset
6156 maximus) qu&aelig;$i$$eidem quod h&icirc; Ari$toteles. Cur $cilicet vmbilici
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6157 illi (crocas Ari$toteles appellat) rotundi $int, cum antea e$$ent lapi-
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6158 des maiu$culi minime rot&utilde;di, $ed angulati, vt &amp; partes concharum
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6159 o$treorum in&aelig;quales &amp; a$per&aelig;. Quod problema licet $peciale $it de
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6160 crocis, generale tamen fieri pote$t de omnibus non rotundis. Et cau$a
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6161 generalis e$$et hoc modo: qu&aelig;cunque non $unt rotunda frequenti, &amp;
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6162 celeri, &amp; maiori conuer $ione eminentis vt anguli atteruntur, pul-
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6163 $ant enim ea parte magis occurrentia qu&aelig;libet $iue liquida, $iue $oli-
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6164 da, &amp; vici&szlig;im pul$antur ab occurrentibus: $icque $ublatis per attri-
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6165 tionem eminent&yuml;s &amp; angulis rotundantur.</I></P>
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6166 <foot>Q ij</foot>
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6167 <p n=>124</p>
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diff changeset
6168 <marg>Cap. 11. lib.
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diff changeset
6169 1. de v$u
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diff changeset
6170 part.</marg>
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diff changeset
6171 <P>Itaque nece$$e e$t.] <I>Ex his collige verum e$$e illud quod e$t
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diff changeset
6172 apud Galenum, $olam figurarum rotundam ad vix patiendum ex-
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diff changeset
6173 qui$it&egrave; comparatam e$$e, vt qu&aelig; nullum expo$itum angulum frangi
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diff changeset
6174 potentem habeat, id e$t, vt ex hoc capite interpretor, nullam partem
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diff changeset
6175 exteriorem &agrave; medio alteram altera di$tantiorem.</I></P>
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diff changeset
6176 <P>Semperatteri.] <I>Vt Gutta $&aelig;pius cadendo lapidem immotum
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diff changeset
6177 cauat: $ic aqua in vertiginem commotum atterit.</I></P>
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diff changeset
6178 <P>Gutta cauat lapidem, con$umitur annulus v$u.</P>
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6179 <P><+></P>
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diff changeset
6180 <P>17. Cur ligna longiora $unt
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diff changeset
6181 imbecilliora.</P>
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6182 <P><+></P>
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diff changeset
6183 <marg>[bis dict&utilde;]
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diff changeset
6184 fruftra.</marg>
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diff changeset
6185 <P>Cur quant&ograve; ligna fue-
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diff changeset
6186 rin<*> longiora, tant&ograve; fiunt
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diff changeset
6187 imbecilliora, &amp; $ublata
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diff changeset
6188 magis curu&atilde;tur, licet breue
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diff changeset
6189 $it quod tenue, vt bicubi-
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diff changeset
6190 t&utilde;, &amp; quod centum cubito-
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diff changeset
6191 rum, cra$$um, An quia ligni
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diff changeset
6192 longitudo, dum attollitur,
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diff changeset
6193 fit vectis, pondus, &amp; hypo-
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diff changeset
6194 mochli&utilde;? prima enim ip$ius
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diff changeset
6195 pars, quam manus attollit,
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diff changeset
6196 fit vt hypomochlium: qu&aelig;
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diff changeset
6197 autem in extremo, vt pon-
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diff changeset
6198 dus. Itaque quant&ograve; di$tite-
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diff changeset
6199 rit magis ab hypomochlio:
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diff changeset
6200 tant&ograve; magis curuari nece$-
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diff changeset
6201 $e e$t. Nece$$e igitur extre-
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diff changeset
6202 ma vectis eleuari. Si ver&ograve;
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diff changeset
6203 flexilis vectis fuerit, nece$-
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diff changeset
6204 $e erit ip$um magis inflecti
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diff changeset
6205 cum attollitur: quod &amp; li-
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diff changeset
6206 gnis longis contingit. At in
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diff changeset
6207 breuibus extrem&utilde; fit vici-
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diff changeset
6208 <p n=>125</p>
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diff changeset
6209 <+>
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diff changeset
6210 num hypomochlio quie$-
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diff changeset
6211 centi.</P>
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diff changeset
6212 <head>COMMENTARIVS.</head>
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diff changeset
6213 <P>Cvr quant&ograve;.] <I>In exercitu $&aelig;pe milites dum feriantur roboris
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6214 experiundi, vel exercendi gratia longas ha$tas humi iacentes
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parents:
diff changeset
6215 vna manu, aut vtraque in alterum extremorum iniecta &amp; compre-
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parents:
diff changeset
6216 hendente nituntur attollere, quou$que perpendiculares fiant plano
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parents:
diff changeset
6217 horizontis: qua in $ublatione videre licet ha$tas illas longas vt cra$-
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diff changeset
6218 $iores $int, inflecti tamen magis medio $ublationis tempore: quam
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diff changeset
6219 breues, licet tenuiores $int. Qu&aelig;rit igitur h&icirc; Ari$toteles non $olum
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parents:
diff changeset
6220 cur $ic fiat, non in his tantum: $ed &amp; in omnibus flexilibus. Cau$am
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diff changeset
6221 repetit ex eo quod flexilia illa $int vectis, p&otilde;dus, &amp; hypomochlium,
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diff changeset
6222 non eadem parte tamen: $ed diuer$is. In extremo enim manu compre-
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
6223 hen$o e$t hypomochlium. In altero e$t pondus. Longitudo vero inter
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diff changeset
6224 media e$t vectis. Ratio itaque $ic di$ponetur.</I></P>
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diff changeset
6225 <P><I>Pondus qu&ograve; magis di$titerit ab hypomochlio, e&ograve; magis vectem,
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parents:
diff changeset
6226 $i flexilis e$t, incuruat, dum attollitur.</I></P>
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parents:
diff changeset
6227 <P><I>In longis lignis, vt flexilibus, pondus magis di$tat ab hypo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6228 mochlio: extremum $cilicet ab extremo: quam in breuibus,</I></P>
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parents:
diff changeset
6229 <P><I>Ligna igitur longa magis incuruabuntur: quam breuia, dum $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
6230 attolluntur.</I></P>
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parents:
diff changeset
6231 <P><I>Sed &amp; ligna medio $ui comprehen$a, &amp; $ic eleuata $emper quo lon-
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parents:
diff changeset
6232 giora, eo magis incuruabuntur. At tunc hypomochlium erit in me-
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parents:
diff changeset
6233 dio. Pondera duo erunt in extremis. Curuari autem magis imbecilli-
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parents:
diff changeset
6234 tatis e$t. Curuatio enim &agrave; fractura non differt, ni$i $ecundum magis
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parents:
diff changeset
6235 &amp; minus. Si plus enim curuatur: quam vnitas partium ferat, $olui-
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parents:
diff changeset
6236 tur continuum, &amp; $ic frangitur.</I></P>
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parents:
diff changeset
6237 <P><+></P>
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casties
parents:
diff changeset
6238 <P>18. Cau$a pote$tatis
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6239 cunei.</P>
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diff changeset
6240 <P><+></P>
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diff changeset
6241 <P>Cur &agrave; cuneo re parua ma-
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parents:
diff changeset
6242 gn&aelig; moles, &amp; corpor&utilde; ma-
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diff changeset
6243 gnitudines diuid&utilde;tur, im-
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parents:
diff changeset
6244 <foot>Q iij</foot>
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parents:
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6245 <p n=>126</p>
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parents:
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6246 <+>
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parents:
diff changeset
6247 pre$$ioque valida efficitur.
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parents:
diff changeset
6248 An quia cuneus vectes duo
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parents:
diff changeset
6249 $unt $ibi inuicem c&otilde;trarij,
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parents:
diff changeset
6250 vterque ver&ograve; habet &amp; pon-
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parents:
diff changeset
6251 dus, &amp; hypomochli&utilde;, quod
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casties
parents:
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6252 diuellit, vel c&otilde;primit. Pr&aelig;-
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parents:
diff changeset
6253 terea percu$$io p&otilde;dus quod
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diff changeset
6254 percutit, &amp; mouet magn&utilde;
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casties
parents:
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6255 facit, &amp; quia motum mo-
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casties
parents:
diff changeset
6256 uet celeritate valentius e$t.
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casties
parents:
diff changeset
6257 Paruo vero exi$tente vecte
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casties
parents:
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6258 magn&aelig; vires con$equun-
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casties
parents:
diff changeset
6259 tur, ide&ograve; mouens latet pr&aelig;-
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casties
parents:
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6260 ratione magnitudinis.</P>
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parents:
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6261 <fig>
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6262 <P>E$to cuneus vbi e$t <G>a b
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diff changeset
6263 g,</G> quod vero cuneo fin-
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6264 ditur <G>d n z.</G> Vectis itaque
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diff changeset
6265 fiet <G>a b,</G> pondus vero ip$ius
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6266 <G>b</G> inferior pars: hypo-
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diff changeset
6267 mochlium autem <G>m & n,</G>
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6268 huic vero contrarius ve-
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diff changeset
6269 ctis <G>b g,</G> tum pars <G>a g</G> per-
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diff changeset
6270 cu$$a. vtroq; illorum vecte vtitur. diuellit enim ip$um <G>b.</G></P>
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diff changeset
6271 <head>COMMENTARIVS.</head>
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diff changeset
6272 <P>Cau$a pote$tatis cunei.] <I>Cuneus e$t in$trumentum ex ma-
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diff changeset
6273 teria firma in$tar pyramidis &agrave; ba$i lata in angu$tum fa$tigia-</I>
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diff changeset
6274 <p n=>127</p>
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diff changeset
6275 <fig>
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diff changeset
6276 <I>tum. Vt A B C D E F. In
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diff changeset
6277 hac forma duo con$ideranda $unt,
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diff changeset
6278 alterum e$t ex amplitudine ba$is,
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diff changeset
6279 qua cuneus ad $u$cipiendam $u$ti-
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diff changeset
6280 nendamque percu&szlig;ionem apti&szlig;i-
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diff changeset
6281 mus e$t: alterum e$t ex vertice acu-
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diff changeset
6282 to, qui ob id facile intr&agrave; corpora penetrans $ibi viam facit. V$us
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diff changeset
6283 eius e$t ad magnos arborum truncos diuidendum, quod fit magna
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diff changeset
6284 cum facilitate eti&atilde; &agrave; puero, beneficio ip$ius cunei per rimulam prim&ograve;
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diff changeset
6285 factam, qua parte acutior e$t, immi$si &amp; qua parte oppo$ita latior
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diff changeset
6286 e$t &agrave; malleo percu$si, quod &agrave; Milone licet athleta robu$ti$simo per $e
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diff changeset
6287 fieri non potuit. Hic enim cum aliquando conspiceret adole$centem
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diff changeset
6288 cuneis immi&szlig;is findentem arbores, fertur $ubri$i$$e &amp; $ubmoui$$e.
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diff changeset
6289 Tum non alio vtens in$trumento, quam $uis manibus au$us e$t trun-
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diff changeset
6290 cum diducere. Mox quicquid habebat roboris in primo impetu colli-
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diff changeset
6291 gens, diduxit h&ucirc;c atque ill&ucirc;c partes, interim elap$is cuneis, quoniam
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diff changeset
6292 reliquam arboris partem diducere non po$$et, di&ugrave; quidem obnixus e$t,
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diff changeset
6293 tandem victus educere non potuit: $ed ab arboris partibus in $e$e cele-
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diff changeset
6294 riter co&etilde;untibus comprehen$&aelig;, primum quidem ip$&aelig; contrit&aelig; $unt,
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diff changeset
6295 mox &amp; ip$i mi$erandi exit&yuml; fuere cau$a, vt refert Galenus in lib. de
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diff changeset
6296 exhort. ad bonas artes. Hic e$t de quo Iuuenalis,</I></P>
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diff changeset
6297 <P>Viribus ille</P>
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diff changeset
6298 <P>Confi$us perijt.</P>
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diff changeset
6299 <P>Cur &agrave; cuneo.] <I>Antea vectis con$ideratus e$t generaliter, dein-
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diff changeset
6300 de $pecialiter: $ed $implex vt in remo, gubernaculo, malo, collope:
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diff changeset
6301 nunc etiam idem $pecialiter con$ideratur, $ed multiplex. Et primum
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diff changeset
6302 quidem duplicatus, vt in cuneo. Nam hic quod paruus exi$tens ma-
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diff changeset
6303 gnos arborum truncos penetrando diuidat, non aliunde habet quam
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diff changeset
6304 quia duplex e$t vectis, &amp; &agrave; percu$sione motus. Ex hoc enim quod ve-
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diff changeset
6305 ctis facile mouet. Ex hoc quod e$t duo vectes, cum hi ex aduer$o $ibi
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diff changeset
6306 inuicem contrar&yuml; $int, &amp; mutuas operas $ibi tradant, magis &amp; faci-
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diff changeset
6307 lius mouet. Ex hoc quod &agrave; percu$sione, eaque celeri, qu&aelig; motus e$t, ma-
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diff changeset
6308 gis adhuc mouetur: $icque &agrave; tribus &yuml;s coniunctis effectus &agrave; cuneo ad-
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diff changeset
6309 mirandi prodeuntis habetur cau$a. Notandum autem quod inter
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diff changeset
6310 cuneos, qui angulum ad verticem acutior&etilde; habet facilius mouet, ac
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diff changeset
6311 $cindit: quam qui obtu$iorem. Mouetur enim cuneus anguli maioris</I>
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diff changeset
6312 <p n=>128</p>
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diff changeset
6313 <I>per maius $patium, quam minoris, $iquidem maioris anguli maior e$t
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diff changeset
6314 $ubten$a, cum anguli $unt &aelig;quicruri prop. 26. lib. 1. A potentia ver&ograve;
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diff changeset
6315 facilius eodem tempore mouetur aliquid per minus $patium: quam
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6316 per maius cum c&aelig;tera paria $unt.</I></P>
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diff changeset
6317 <P>An quia.] <I>Prior cau$a e$t ad $olutionem problematis, qu&aelig; hoc
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diff changeset
6318 $yllogi$mo concludetur.</I></P>
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diff changeset
6319 <P><I>Duo vectes $imul iuncti multum mouent, &amp; magnas moles
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6320 di$trahunt.</I></P>
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6321 <P><I>Cuneus e$t duo vectes, &yuml;que $ibi inuicem contrar&yuml;: $ed
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diff changeset
6322 iuncti.</I></P>
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diff changeset
6323 <P><I>Cuneus igitur multum mouet, &amp; magnas moles di$trahet.
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diff changeset
6324 Syllogi$mi propo$itio confirmationem non habet: $ed h&aelig;c repeti po-
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parents:
diff changeset
6325 te$t ex vnius vectis potentia ante&agrave; confirmata, qu&aelig; in duobus igitur
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diff changeset
6326 iunctis maior erit.</I></P>
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diff changeset
6327 <P>Vterque ver&ograve; habet.] <I>Confirmatio e$t a$$umptionis.</I></P>
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diff changeset
6328 <P><I>Vbi e$t longitudo duplex, hypomochlia duo, &amp; pondus, ibi $unt
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diff changeset
6329 duo vectes.</I></P>
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6330 <P><I>In cuneo e$t vtrinque longitudo, labra rim&aelig; quam ingredi-
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diff changeset
6331 tur cuneus, $unt hypomochlia: truncus findendus e$t
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diff changeset
6332 pondus.</I></P>
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parents:
diff changeset
6333 <P><I>E$t igitur cuneus duo vectes.</I></P>
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diff changeset
6334 <P>Pr&aelig;terea percu$$io.] <I>Secunda e$t cau$a ad $olutionem proble-
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parents:
diff changeset
6335 matis, quod cuneus adigatur non $implici pul$u: $ed percu$$u, qui ve-
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diff changeset
6336 hemens &amp; celer e$t motus: iam motum autem mouendum vehemen-
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diff changeset
6337 tius mouet. Percu&szlig;io autem duobus fit modis, vel ex eo ip$o $olo quod
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diff changeset
6338 percutit tanquam graui<*> loco $uperiori deor$um incidente: at que hoc
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6339 qu&ograve; grauius e$t, e&ograve; maior fit percu&szlig;io: quin &amp; qu&ograve; longius di$titerit
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parents:
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6340 primum incidens, magis percutit. Graue enim vnumquodque dum
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diff changeset
6341 mouetur grauitatis magis a$$umit motum: quam quie$cens: &amp; adhuc
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parents:
diff changeset
6342 magis quo longius mouet. quilibet enim a&euml;r addit $uper motum iam
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diff changeset
6343 acqui$itum. Inde ca$us lapidis aut ictus ab altiore loco grauius per-
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6344 cutit: vel ex eo quidem quod percutit, $ed recto atque moto, ab aliqua
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parents:
diff changeset
6345 potentia percutiente, vt $i per manubrium mallei, quod vna vel du&aelig;
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6346 manus moueant. Certum e$t quod qu&ograve; grauior erit malleus, &amp; qu&ograve;
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6347 longius manubrium, e&ograve; maior fiet percu$sio, vt ex pr&aelig;cedentibus $atis
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6348 patere pote$t, cum malleus tanquam pondus &agrave; centro, quod e$t in ma-</I>
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diff changeset
6349 <foot><I>nubrio,</I></foot>
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6350 <p n=>129</p>
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diff changeset
6351 <I>nubrio, vbi manus ip$um comprehendunt, plus di$tet. Pr&aelig;terea cer-
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diff changeset
6352 tum e$t quod quant&ograve; potentia percutiens validior e$t, validiori tant&ograve;
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6353 impellet pul$u. his adde quod e$t ab Hippocrate</I> <G><+>)n toi_s tsw/masi</G>
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6354 <I>annotatum. Quant&ograve; impul$us magis fiet</I> <G>ka(<+>) i)/cin</G> <I>&egrave; directo, id e$t vt
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6355 interpretor &egrave; perpendiculari. C&aelig;terum percu&szlig;ionem vim habere ad
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diff changeset
6356 mouendum validi&szlig;imam docebit Ari$toteles prob. 19. huius libri:
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diff changeset
6357 $ed ex multis colligere id ita e$$e po$$umus. Primum quod licet cuneo
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6358 ba$i $ua $uper plano in$i$tenti, pondus alioqui valde ingens impona-
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6359 tur, ip$um non diuidet, aut par&ugrave;m, $i ad diui$ionem percu&szlig;ione fa-
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6360 ctam compares. Secundum $i cuneo vel vectis vel cochlea vel aliud
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6361 aliquod in$trumentum aptetur, vt ip$e intimius propellatur, effectus
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6362 inde con$equens parui erit momenti,</I>
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6363 <fig>
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diff changeset
6364 <I>re$pectu eius, qui &agrave; percu&szlig;ione pro-
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6365 fici$citur. Guidus V baldus commo-
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6366 de hoc adfert exemplum. Sit A cor-
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diff changeset
6367 pus lapideum ex quo angulus $olidus
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6368 B $it auferendus, mallei ferrei per-
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6369 cu$$u facile id fit, $ine percu$$u, nec
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6370 cum hoc, nec cum alio quouis in$tru-
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6371 mento, ni$i cum maxima difficulta-
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6372 te fieri poterit. Percu$sio igitur cau$a e$t, cur magna $cindantur
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diff changeset
6373 pondera.</I></P>
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diff changeset
6374 <P>Paruo ver&ograve;.] <I>Occurrit obiectioni, qu&aelig; fit propter exiguitatem
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6375 cunei, ob idque &amp; vectis, $ed hanc dicit compen$ari vehementia &amp;
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diff changeset
6376 celeritate percu$sionis, &amp; quanquam ratione motus, motor exiguus
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diff changeset
6377 videatur, &amp; ita lateat, magnus e$t tamen viribus. Sic in rebus natu-</I>
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6378 <marg>Lib. 5. de
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6379 loc aff.</marg>
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diff changeset
6380 <I>ralibus, vt e$t apud Galenum, paru&aelig; molis res qu&aelig;dam $olo tactu,
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parents:
diff changeset
6381 qu&aelig;dam exiguo mor$u maximas corporibus inducunt alterationes.
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diff changeset
6382 Id quod in heraclio lapide, quem magnet&etilde; nominant, videre e$t, fer-
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
6383 rum enim quod tetigerit, ei adh&aelig;ret vel nullo adhibito vinculo: dein-
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diff changeset
6384 de $i aliud id, quod primo tactum fuerit, tetigerit, $imiliter vt pri-
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diff changeset
6385 mum, illi inh&aelig;rebit, po$tea tertium $ecundo. Pr&aelig;terea &agrave; Phalang&yuml;
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diff changeset
6386 ictu totum corpus affici videtur exiguo veneno per foramen iniecto:
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diff changeset
6387 $ed long&egrave; maiori admiratione dignus e$t Scorpionis ictus, qui breui
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diff changeset
6388 admodum tempore graui&szlig;ima infert accidentia. H&aelig;c Galenus qu&aelig;
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diff changeset
6389 ideo attuli, vt intelligant mor$us ab animalium dentibus inci$or&yuml;s</I>
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diff changeset
6390 <foot>R</foot>
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diff changeset
6391 <p n=>130</p>
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6392 <I>maxillarum impetu adactis in rem mor$am vt pondus diuidendum,
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diff changeset
6393 tanquam &agrave; cuneis e$$e factos, vt &amp; vulnera ab en$ibus, ha$tis, dola-
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diff changeset
6394 bris, $ecuribus &amp; id genus in$trumentis. Serra quoque &amp; lima ad
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diff changeset
6395 hoc genus, qu&ograve;d ad $uos denticulos $pectatreduci pote$t, quot enim
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diff changeset
6396 denticuli totcunei, &amp; &yuml; alligati, aut continui $uo vecti, id e$t, manu-
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diff changeset
6397 brio, quod pro vt longius, vel breuius e$t, ita maiorem vim impul$us
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diff changeset
6398 aut tractus obtinet.</I></P>
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diff changeset
6399 <P>E$to cuneus.] <I>H&icirc;c e$t demon$tratio linearis ad ostenden-
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6400 dum cuneum diuidendo ponderi duorum vectium vicem pror$us ge-
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diff changeset
6401 rere, eorumque $ibi inuicem contrariorum. Sed hanc $ic paul&ograve; am-
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diff changeset
6402 plius &amp; apertius repetemus. Sit cuneus A B C cuius vertex B:
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diff changeset
6403 &amp; $it A B &aelig;qualis B C,
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diff changeset
6404 quod autem diuidendum</I>
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diff changeset
6405 <fig>
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diff changeset
6406 <I>e$t, $it D E F G, $itque
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6407 pars cunei H B K intra
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6408 D E F G, &amp; H B $it
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6409 &aelig;qualis ip$i B K. percu-
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parents:
diff changeset
6410 tiatur vt fieri $olet cuneus
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6411 in A C. Dum cuneus in
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parents:
diff changeset
6412 A C percutitur, A B fit
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6413 vectis, cuius hypomoch-
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diff changeset
6414 lium e$t H, &amp; pondus in
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diff changeset
6415 B, eodemque modo C B
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6416 fit vectis, cuius hypomo-
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diff changeset
6417 chlium e$t K, &amp; pondus $imiliter in B. Sed dum percutitur cuneus
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6418 maiori adhuc ip$ius portione, intra ip$um D E F G ingreditur,
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diff changeset
6419 quam prius e$$et: $it autem portio h&aelig;c M B L, $itque M B ip$i
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diff changeset
6420 B L &aelig;qualis. Et cum M B, B L $int ip$is H B, B K maiores:
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6421 erit M L maior H K. Dumigitur M L erit in $itu H K, opor-
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6422 tet vt fiat maior diui$io, &amp; D moueatur ver$us O: G autem ver-
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diff changeset
6423 $us N, &amp; qu&ograve; maior pars cunei intra D E F G ingredietur, e&ograve;
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diff changeset
6424 maior fiet diui$io: &amp; D, G magis adhuc impellentur ver$us O,
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diff changeset
6425 N. Parsigitur K G eius quod diuiditur mouebitur &agrave; vecte A B,
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diff changeset
6426 cuius hypomochlium e$t H, &amp; pondus in B, ita vt punctum B
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diff changeset
6427 ip$ius vectis A B impellat partem k G: &amp; pars H D mouebi-
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diff changeset
6428 tur &agrave; vecte C B, cuius hypomochlium e$t k, ita vt B vecte C B</I>
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6429 <p n=>131</p>
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6430 <I>partem H D impellat. Atque h&aelig;c e$t $ententia Ari$totelis de du-
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diff changeset
6431 plici vecte in cuneo. Aliam habet Guidus Vbaldus, quam exi$timat
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parents:
diff changeset
6432 meliorem. E$t autem eiu$modi, vt figur&aelig; iam po$it&aelig; vectis A B
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parents:
diff changeset
6433 habeat hypomochlium B, &amp; pondus mouendum H, $icut vectis
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diff changeset
6434 C B, habeatitem hypomochlium B &amp; pondus mouendum $it K: it a
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6435 vt pars H D moueatur &agrave; vecte A B, &amp; pars k G &agrave; vecte C B.
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diff changeset
6436 Ratio e$t, quia in$trumenta mouent per contactum: vectis autem A
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6437 B tangit partem H D motam in H, non $imiliter tangit in B.
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6438 Id ip$um in$uper comprobat ex cuneo inter duas moles $eparatas in-
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diff changeset
6439 terpo$ito: $ed quod pace tanti viri dixerim certum e$t, quod ni$i B
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6440 vertex cunei tangeret molem in B, &amp; ip$am impelleret atque diui-
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diff changeset
6441 deret, partes H D, K G non vtrinque cederent in O &amp; N. Quod
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diff changeset
6442 igitur cedant motus is $ecundarius e$t, &amp; priorem qui e$t in B con-
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diff changeset
6443 $equens. Quod autem ad moles $eparatas attinet, in his a&euml;r pondus e$t
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6444 mouendum, quem $i nequaquam cedere fingamus, non vltra ingre-
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6445 diente cuneo, partes molium inter quas erit cuneus con$i$tent. C&aelig;te-
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6446 rum vt cuneus vectis e$t multiplicatus: ita cochlea, cuius nullam
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diff changeset
6447 mention&etilde; feci$$e Ari$totel&etilde; totis his mechanicis miror, c&umacr; $it cuneus
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diff changeset
6448 multiplicatus, vel vnus continuatus. E$t enim cochlea (vt de hac
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diff changeset
6449 pauca qu&aelig; ex Pappo, Vbaldo, Mun$tero $elegimus, dicamus) cuneus
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diff changeset
6450 cylindro circumuolutus helicis in$tar, percu&szlig;ionis quidem expers,
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6451 $ed per vectem cylindri axi annexum ver$us, faciens motionem ma-
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diff changeset
6452 gnorum ponderum. Quod vt intelligatur. Sit cuneus A B C circa</I>
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6453 <fig>
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6454 <cap>Cochlea $ine matrice.</cap>
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6455 <I>cylindrum D E, qui $ine impedim&etilde;to verti po&szlig;it per vectem K F</I>
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6456 <foot>R ij</foot>
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diff changeset
6457 <p n=>132</p>
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6458 <I>cylindri axi an-</I>
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6459 <fig>
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diff changeset
6460 <cap>Cochlea cum matrice.</cap>
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diff changeset
6461 <I>nexum: pondus
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diff changeset
6462 mouendum $it
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diff changeset
6463 L M N O ex
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diff changeset
6464 parte M N im-
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diff changeset
6465 mobile, vt in
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diff changeset
6466 his qu&aelig; $cind&umacr;-
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6467 tur, fieri $olet:
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6468 cunei vero vertex A $it intra rimam R S. Itaque facile e$t videre
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diff changeset
6469 quod dum K F circumuer$us erit vbi K P, vertex A non erit
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diff changeset
6470 amplius intra R S: $ed cunei pars alia vt T V: qu&aelig; cum maior
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diff changeset
6471 $it, quam R S. E$t enim pars qu&aelig;que cunei remotior &agrave; vertice, latior
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diff changeset
6472 propinquiore: ergo vt T V $it intra K S, oportet vt R cedat, mo-
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diff changeset
6473 ueaturque ver$us X, &amp; S ver$us E vt faciunt ea qu&aelig; $cindun-
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diff changeset
6474 tur. Totum ergo L M N O $cindetur. Nam dum rur$us vectis K
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diff changeset
6475 P peruenerit ad K Q, tunc B C erit intra R S, erit R $iquidem
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diff changeset
6476 in X &amp; S in E, vt X E $it &aelig;qualis B C: $emperque conti-
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diff changeset
6477 nuato cuneo progredienteque A vertice vltr&agrave;, pondus L M N O,
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diff changeset
6478 $cindetur, vel pondus G mobile impelletur, attrahetur, attolletur,</I>
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6479 <fig>
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diff changeset
6480 <I>prout cylindrus cochle&aelig; po$itus erit ad planum horizontis cum $ua,
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diff changeset
6481 vel $inefcemina $eu matrice. Quod $irur$us cochle&aelig; tympan&umacr;rect&egrave;</I>
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diff changeset
6482 <p n=>133</p>
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6483 <I>vel obliqu&egrave; denticulatum, ita vt helici facil&egrave; congruat, aptetur: ma-
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diff changeset
6484 nife$tum e$t, quod ad motum cochle&aelig; etiam tympani C dentes $uper
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diff changeset
6485 helicem cochle&aelig; ad infinitum circumuert&etilde;tur. Vnde h&aelig;c cochlea di-
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diff changeset
6486 citur infinita, id e$t tandiu vertetur, quandiu quis volet. Eodem enim
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diff changeset
6487 modo $emper $e habebit tympanum ad cochleam. Porr&ograve; cochle&aelig; vi
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6488 &amp; beneficio admirabile cert&egrave; quanta pondera moueantur. Refert</I>
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diff changeset
6489 <marg>Lib 1. R
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diff changeset
6490 Math.</marg>
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6491 <I>Mun$terus Ba$ile&aelig; $e vidi$$e longi&szlig;imas $udes pr&aelig;acutis ferreis ro-
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diff changeset
6492 $tris munitas olim in fundum profundi$sim&egrave; actas auelli. Quinetiam
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diff changeset
6493 aliquando integras domos ex lignis compaginatas in $ublime $uble-
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diff changeset
6494 uari &amp; cylindris aliquot $ubmi$sis ali&ograve; deferri: $ed &amp; homi&nacute;um
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diff changeset
6495 v$u propemodum immen$o quotidie experimur, quantum valeat
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diff changeset
6496 torquendo &amp; premendo, dum vinum, oleum, $uccos quo$libet &agrave;
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diff changeset
6497 $uis fructibus exprimimus, &amp; hone$tam v$uram dominis $uis
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diff changeset
6498 per$oluere cogimus, ita ad vltimum quadrantem v$que, vt &agrave; pu-
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diff changeset
6499 mice po$tea aquam citius extrahas: quam &agrave; f&aelig;cibus reliquis $uc-
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6500 cum aliquem. Immo ver&ograve;, qu&aelig; laudari nunquam $atis pote$t, $ine
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6501 cochlea ars Typographica quid e$$e po$$et, Duo autem efficiunt vt
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diff changeset
6502 cochlea tanta po$sit. Primum quia e$t helix circa cochleam, qu&aelig; qu&ograve;
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6503 e$t vertex cunei acutioris, e&ograve; facilius: $ed tardius mouet. Alterum
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6504 quia e$t vectis, quo cochlea circumuertitur, qui etiam qu&ograve; longior, e&ograve;
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6505 facilius: $ed etiam tardius mouet.</I></P>
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6506 <P><+></P>
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6507 <P>19. Detrochleis.</P>
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6508 <P><+></P>
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6509 <P>Quare $i quis in duobus
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6510 tignis inter $e i&utilde;ctis&egrave; c&otilde;tra-
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6511 rio duas trochleas c&otilde;pon&etilde;s
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6512 ip$is in circulo circum du-
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6513 xerit funiculum, qui lorum
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6514 qu&ograve;d $u$pendatur ex altero
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6515 tignorum, &amp; alterum inni-
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6516 tatur, aut appofitum $it ad
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6517 trochleas, atque initium
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6518 funiculi traxerit, vt parua
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6519 vi trahat, magna tamen
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6520 pondera adducet.</P>
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6521 <foot>R iij</foot>
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6522 <p n=>134</p>
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6523 <head>COMMENTARIVS.</head>
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6524 <P>De trochleis.] <I>Trochlea e$t in$trumentum vno aut pluribus
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6525 orbiculis circa $uos axiculos mobilibus &amp; fune ductario con-
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6526 $tans ad trahendum, &amp; attollendum onera aptum. Geminatur ali-
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6527 quando, triplicatur, &amp; amplius multiplicatur. Si duobus orbiculis
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diff changeset
6528 con$ter</I> <G>di/swas|os,</G> <I>$i tribus</I> <G>tr|i/swasos,</G> <I>$i quinque</I> <G>pen<+>e/swasos,</G> <I>$i plu-
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diff changeset
6529 ribus</I> <G>polu/swasos</G> <I>dicitur, ex quo $unt illa tractoria in$trumenta in-
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parents:
diff changeset
6530 finitarum prope modum virium. vt in quibus orbiculi plures $ibi in-
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parents:
diff changeset
6531 uicem $ub$eruientes, &amp; tanquam onus attrahendum diuidentes, $um-
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parents:
diff changeset
6532 ma facilitate ip$um attrahunt. Notandum etiam $olum orbiculum
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casties
parents:
diff changeset
6533 etiam aliquando trochleam appellari, &amp; ad v$um vnam aliquando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6534 trochleam, aliquando duas &amp; plures v$urpari, quod vbifit, $i in vna
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parents:
diff changeset
6535 trochlca $int plures orbiculi inferioris trochle&aelig; orbiculus $uperior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6536 debet $emper e$$eminor inferiore: vt &amp; $uperioris inferior, ne funes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6537 ductar&yuml; inter $e inuicem complicentur &amp; $ibi ob$int.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6538 <P>Quare $i quis.] <I>Problema de trochleis cur duabus magna one-
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parents:
diff changeset
6539 ra parua vi trahuntur, proponitur, apert&egrave; quidem, ni$i vbi de alliga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6540 tione ip$arum agitur. Tota enim particula contextus huius</I> <G>e)/xon to\
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6541 ar)/thma e)k <+>ate/rou t<+> cu/lwn, <+>a/teron de\ h)_ w_<+>serhreimu/on h)\ w_<+>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6542 se<+>u/on <+> ta\s t<+>oxali/as,</G> <I>mendo$a meo iudicio e$t. Quid enim
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parents:
diff changeset
6543 e$t habere lorum quod dependeat, ab altero tignorum: alterum vero
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parents:
diff changeset
6544 e$$e infixum, &amp; appo$itum ad trochleas, quid e$t illud alterum, quod
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
6545 dicitur infigi, &amp; apponi</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
6546 <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
6547 <I>ad trochleas, intelligi cert&egrave;
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
6548 non pote$t. Si igitur quid
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6549 rei natura, &amp; v$us o$ten-
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
6550 dat, ponamus: illam parti-
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
6551 culam $ic c&otilde;mutabimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
6552 vt dicamus vnam &egrave; dua-
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diff changeset
6553 bus trochleis habere lor&utilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6554 quod dependeat ab altero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6555 vel vtroque tignorum: al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6556 teri vero infixum &amp; ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6557 po$it&utilde; e$$e pondus trahen-
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
6558 dum vel attollendum. Vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6559 $int duo tigna $e$e ex 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
6560 <p n=>135</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6561 <I>uer$o fulcientia C D &amp; E F</I>
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diff changeset
6562 <fig>
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parents:
diff changeset
6563 <I>(plura duobus vt tria, &amp; qua-
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casties
parents:
diff changeset
6564 tuor, vt $e validius fulciant, 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
6565 plurimum $tatuuntur) $int &amp;
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parents:
diff changeset
6566 du&aelig; trochle&aelig; A &amp; B, 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
6567 rum altera A ad vtrumque ti-
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parents:
diff changeset
6568 gnum reuinciatur loro H 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
6569 alteri vero B appo$itum $it 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
6570 dus G, tracto loro ab ini-
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parents:
diff changeset
6571 tio vbi I, pondus G cum tro-
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parents:
diff changeset
6572 chlea B attolletur ver$us A.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6573 <P><I>Vel etiam $it trochlea 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
6574 ferior in qua orbiculi duo cui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6575 pondus A per vncum apponi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6576 tur, $uperior in qua duo item or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6577 biculi. funis prim&ograve; alligari 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
6578 bet vnco, qui e$t in ea, &amp; cir-
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parents:
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6579 cum agi circa $uperiorem orbicu-
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parents:
diff changeset
6580 lorum inferioris trochle&aelig;, ita vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6581 a$cendens circum inferiorem $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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6582 perioris, deuoluatur po$tea circa
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
6583 inferiorem inferioris, &amp; reuol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6584 uatur adhuc circa $uperiorem $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6585 perioris, habens tandem initium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6586 $ui in G vbi motor intelligitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6587 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6588 <P>An quia id&etilde; pondus &agrave; mi-
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parents:
diff changeset
6589 nore vi, $i vecte moueatur,
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casties
parents:
diff changeset
6590 tr&atilde;sfertur magis: qu&atilde; $i 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
6591 nu. Trochlea aut&etilde; id facit,
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parents:
diff changeset
6592 quod vectis. Itaq; $i vna fa-
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parents:
diff changeset
6593 cili^{9} trahat, &amp; ab vnico tra-
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parents:
diff changeset
6594 ctu: qu&atilde; manu, graui^{9} mult&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
6595 trahet. Hoc vero du&aelig; tro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6596 <foot><*></foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6597 <p n=>136</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6598 <+>
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casties
parents:
diff changeset
6599 chle&aelig; plus in dupla veloci-
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casties
parents:
diff changeset
6600 tate attollent. Minus enim
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casties
parents:
diff changeset
6601 altera trahit quam $i ip$a
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parents:
diff changeset
6602 per $eip$am traheret. quo-
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casties
parents:
diff changeset
6603 niam iuxta alter&atilde; iniectus
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casties
parents:
diff changeset
6604 fuerit funiculus. H&ecedil;c enim
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casties
parents:
diff changeset
6605 in$uper pondus minus effe-
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parents:
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6606 cit. Et $ic $i in plures tro-
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parents:
diff changeset
6607 chleas iniectus fuerit funi-
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parents:
diff changeset
6608 culus, in paucis trochleis
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casties
parents:
diff changeset
6609 multum intere$t. Itaque &agrave;
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casties
parents:
diff changeset
6610 prima trahente p&otilde;dus qua-
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casties
parents:
diff changeset
6611 tuor librarum, ab vltima
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casties
parents:
diff changeset
6612 trahi multo minus.</P>
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casties
parents:
diff changeset
6613 <head>COMMENTARIVS.</head>
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casties
parents:
diff changeset
6614 <P>An quiaidem.] <I>Solutio e$t propo$iti problematis $umpta &egrave;
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casties
parents:
diff changeset
6615 vecte multiplicato. Syllogi$mus $ic erit.</I></P>
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casties
parents:
diff changeset
6616 <P><I>Quod $olum magna moueret pondera parua vi, hoc etiam gemi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6617 natum trahet.</I></P>
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casties
parents:
diff changeset
6618 <P><I>Trochlea parua vi magna trahit pondera.</I></P>
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casties
parents:
diff changeset
6619 <P><I>Trochlea ergo geminata parua vi magna trahet pondera.</I></P>
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casties
parents:
diff changeset
6620 <P><I>Huius $yllogi$mi propo$itio clara e$t, ex eo quod vires bene compo $i-
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casties
parents:
diff changeset
6621 t&aelig; &amp; multiplicat&aelig; plus po$$unt: quam $ol&aelig; &amp; $implices. A$$umptio
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casties
parents:
diff changeset
6622 ver&ograve; $ic confirmatur.</I></P>
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6623 <P><I>Trochlea idem facit, quod vectis. E$t enim ip$a vectis.</I></P>
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diff changeset
6624 <P><I>Vectis parua vi magna mouet pondera. ex anteced.</I></P>
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diff changeset
6625 <P><I>Ergo trochlea parua vi magna trahet pondera.</I></P>
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6626 <P><I>Quod autem trochlea $it vectis, patet. quia hypomochlium e$t in axi-
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6627 culo immobili, diameter orbiculi e$t longitudo vectis deor$um vna
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diff changeset
6628 parte tracta per funem circumductum: altera $ur$um eleuata. Mou&etilde;s
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diff changeset
6629 cut&etilde; e$t virtus trahentis ad initium funis. Et p&otilde;dus quod e$t vni tro-
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6630 chlearum appo$itum e$t mobile. Cum autem virtus trahit per plures
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diff changeset
6631 orbiculos, vt pluribus vectibus vtens vna opera, &amp; eodem temporis
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diff changeset
6632 momento facilius trahit &amp; minore vi, quandoquidem pondus, vt</I>
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6633 <foot><I>pluribus</I></foot>
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diff changeset
6634 <p n=>137</p>
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diff changeset
6635 <I>pluribus diui$um orbiculis, minus id e$t leuius apparet. Itaque quo-
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diff changeset
6636 niam facilius e$t mouere pondus vecte: quam manu, &amp; trochlea ve-
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diff changeset
6637 ctis e$t, facilius erit trochlea: quam manu.</I></P>
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diff changeset
6638 <P>Plu$quam in dupla.] <I>Qu&ograve; plures $unt orbiculi in trochleis, e&ograve;
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diff changeset
6639 quidem facilius, &amp; minore vi pondus trahitur, vt e$t demon$tra-
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diff changeset
6640 tum &agrave; Guido V baldo prop. 3. &amp; aliquot $equentibus in tractatu de
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diff changeset
6641 trochlea. Sed etiam vbi $unt plures, ibi lentior e$t tractio, quia po-
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diff changeset
6642 tentia in &aelig;quali tempore, $patio $ecundum duplum, triplum, &amp; $ic
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diff changeset
6643 deinceps ampliori $ine huiu$modi trochleis idem pondus moueret: $i
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diff changeset
6644 quidem per $e $ufficiat. Vnde arbitror h&ucirc;c irrep$i$$e mendum in vo-
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diff changeset
6645 cabulo</I> <G>ta/xei</G> <I>pro</I> <G>logw|</G> <I>vel</I> <G>diplasi/w|.</G> <I>pro</I> <G>(wodiplasi/w|</G> <I>tollendo</I>
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diff changeset
6646 <G>ple/on h)\</G> <I>vel potius pro</I> <G>h)\</G> <I>reponendo</I> <G>mh\</G> <I>$ic enim $ententia vera erit.</I>
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diff changeset
6647 Hoc vero du&aelig; trochle&aelig; plus non in dupla velocitate at-
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diff changeset
6648 toll&etilde;t. <I>C&aelig;ter&utilde; quomodo per trochleas, quanto t&etilde;pore, &amp; $patio, pon-
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diff changeset
6649 dera moueantur, quodn&atilde; $uperioris &amp; inferioris trochle&aelig; fuerit offi-
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diff changeset
6650 cium, orbiculorum diametri vt moueantur, vt in omni ratione qu&aelig;
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diff changeset
6651 in numeris e$t, pondus &amp; potentia $tatui po$sint, qu&aelig; omnia cert&egrave;
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diff changeset
6652 $citu digni$sima $unt Geometric&egrave; demon$trata, qui $cire volet, vi-
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diff changeset
6653 deat apud Guidum V baldum pr&aelig;dicto tractatu, ne maior pars il-
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6654 lius pr&aelig;$tanti$simi operis, quod edidit de mechanicis, mihi $it h&ucirc;c
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diff changeset
6655 transferenda. Huic ver&ograve; loco non po$$um non in$erere vnam ma-
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diff changeset
6656 chinam e $ex trochleis: &amp; funiculis quinque compo$itam (&egrave; pluri-
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diff changeset
6657 bus componi, $i v$us po$tulet, nihil obe$t) mira celeritate, &amp; funis
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diff changeset
6658 ductar&yuml; paucitate atque compendio pondus attollentem, quam mihi
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diff changeset
6659 communicauit Georgius Lhullierius vir $ine honoris titulo n&utilde;quam
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diff changeset
6660 mihi nominandus, propter $u&utilde; in artes mathematicas &amp; mathema-
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diff changeset
6661 t&utilde; $tudio$osqu&atilde;diu vixit $ingularem amor&etilde;. Machina e$t eiu$modi,
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diff changeset
6662 $it tignum A B perpendiculariter in$i$tens, cui etiam ad rectos al-
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diff changeset
6663 terum in $i$tat vt C D: $int $ex trochle&aelig; E, F, G, H, I, K,
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6664 funiculi quinque L A, N M, Q P, S R, B T, quorum pri-
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6665 mus circumuoluitur circa duos orbiculos E &amp; F in extremis <*>i-
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6666 gnorum circa $uos axiculos mobiles reliquorum $inguli circa $inga-
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6667 los &agrave; proxim&egrave; antecedentibus funiculis $u$pen$os. In X autem $it
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6668 harpago ad apprehendendum pondus E attollendum vel deprimen-
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6669 dum. Si eni<*> extremum L ab harpagone V liberetur, &amp; ad A
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6670 traducatur, de$cendet vno qua$i nictu oculi pondus E, tantum</I>
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6671 <foot>S</foot>
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6672 <p n=>138</p>
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6673 <fig>
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6674 <I>$pat&yuml;, quanti $unt funiculi N M, Q P,
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6675 R S, B T. Tanti erunt autem,
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6676 quantos loci, ad quem de$cendere, vel
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6677 &egrave; quo educere volumus, profunditas,
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6678 po$tulat. Si autem attollere oporteat,
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6679 extremum L cum erit in A, traduce-
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6680 tur ad harpagonem V.</I></P>
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6681 <P><I>In hac machina igitur h&aelig;c duo in-
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6682 $unt, facilitas motionis ob multitudi-
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6683 nem trochlearum, &amp; celeritas motio-
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6684 nis. quia quanto temporis $patio extre-
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6685 mum funiculi L ab A transfertur
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6686 ad harpagonem V, eodem pondus E
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6687 ex infimo loco $ur$um per decuplam
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6688 longitudinem &amp; amplius, $i quis vo-
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6689 let, euehitur, aut contra.</I></P>
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6690 <P><+></P>
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6691 <P>Atque in ar-
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6692 chitectura faci-
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6693 le mouent ma-
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6694 gna pondera,
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6695 Tr&atilde;sfer&utilde;t enim
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6696 ab ip$a trochlea
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6697 ad alter&atilde; &amp; rur-
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6698 $us ab ip$a ad $u-
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diff changeset
6699 culas &amp; vectes,
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6700 quod id&etilde; e$t ac
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6701 $i multas c&otilde;po-
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6702 ner&etilde;t trochleas.</P>
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6703 <head>COMMINTARIVS.</head>
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6704 <P>At que in architect.] <I>Vt funis
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6705 facilius trahatur in magnis ponde-
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6706 ribus dimouendis ergata, aut $ucula adhibetur ad tigna, vt &amp; rota
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6707 &amp; collopes. qu&aelig; e&ograve; facilius trahunt, qu&ograve; longiores fuerint. Atque</I>
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6708 <p n=>139</p>
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6709 <I>huius compo$itionis qu&aelig; ad&aelig;quat multas trochleas, aut etiam lon-
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diff changeset
6710 gi&szlig;imum vectem maximus e$t v$us. Quandoquid&etilde; cum materia ad
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6711 vectem, cuius longitudo vnius $tad&yuml; requireretur, idonea nu$qu&atilde; in-
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diff changeset
6712 ueniri po&szlig;it, plurium tamen trochlearum, ergatarum, $ucularum,
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6713 tympanorum, collopum compo$itione apta proportionalium, fiet ma-
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diff changeset
6714 china tractabilis, cuius vis maior e$$e pote$t: quam vectis, cuius lon-
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diff changeset
6715 gitudo e$$et $tad&yuml; vnius. Rei huius $pecimen luculentum Rom&aelig; ex-
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diff changeset
6716 hibitum e$t &agrave; Dominico Fontana Mili in Com&etilde;$i dioc&oelig;$i orto, con-
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diff changeset
6717 $ilio, adhortatione, $umptibus Xi$ti V. pontificis maximi, in tran-
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diff changeset
6718 $ponendo obeli$co, qui Soli prim&ugrave;m &agrave; Pherone Rege &AElig;gypti, Helio-
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diff changeset
6719 poli ant&egrave; Troiani belli tempora factus, &amp; dicatus: po$tea &agrave; Caio Ca-
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diff changeset
6720 ligula Romam tran$uectus Augu$to &amp; Tiberio C&aelig;$aribus $acer,
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diff changeset
6721 temporibus no$tris p&aelig;n&egrave; obrutus ruderibus &aelig;dium, qu&aelig; circum eum
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diff changeset
6722 corruerant, parietinis &amp; c&oelig;mentis, nullam tamen iniuriam &agrave; tot
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diff changeset
6723 Romaninominis ho$tibus pa$$us, nulla ex parte exe$us, aut comminu-
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diff changeset
6724 tus, magna omnium aduentantium admiratione parte adhuc $ui ali-
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diff changeset
6725 qua loco valde inepto con$picuus, vi$ebatur. Vt totum hoc negotium
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parents:
diff changeset
6726 ge$tum $it, licet iam &agrave; multis doctis viris literarum monumentis
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parents:
diff changeset
6727 commendatum, inepti&szlig;imus tamen $im, aut eorum, qu&aelig; mea &aelig;tate
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diff changeset
6728 fiunt maxime memorabilium, ignarus, $i ip$um in huius loci id
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parents:
diff changeset
6729 exempli maxime po$tulantis illu$tratione, pr&aelig;termittam, breuiter
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diff changeset
6730 ergo commemorabo.</I></P>
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diff changeset
6731 <P><I>Primum $cire oportet, quod obeli$cus e$t vnus ingenti magnitu-
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diff changeset
6732 dine lapis, qui ab imo v$que ad $ummum rectis lineis in$tar acus, aut
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diff changeset
6733 potius exigui veru in cu$pidem terminatur. V aria e$t obeli$corum
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diff changeset
6734 materia, forma, &amp; altitudo. Hic de quo agitur ex vno lapide, eoque
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diff changeset
6735 duri&szlig;imo, qui pyrhop&aelig;cilos dicitur, quod punctis quibu$dam ignei
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parents:
diff changeset
6736 coloris di$tinctus $it, ac varius vndique interluceat, $ine notis hie-
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diff changeset
6737 roglyphicis (quod al&yuml;s obeli$cis frequens e$t, per has regibus &AElig;gypti
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diff changeset
6738 $uas res ge$tas memori<*> commendantibus) $emper eadem forma, ea-
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diff changeset
6739 que quadrangulari ex infima $ui parte minus ampla &amp; $patio$a, ob
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parents:
diff changeset
6740 idque pulcherrima, cuius cra&szlig;itudo, $i Serlius antiquitatum Roma-
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diff changeset
6741 narum $criptor rect&egrave; metitus e$t, pedibus 9. minuti$que 24. altitu-
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diff changeset
6742 do pedibus 85. $ummaque demum cra&szlig;itudo pedibus 6. &amp; minutis</I>
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diff changeset
6743 8. <I>comprehenditur, ad imanque ip$ius radicem h&aelig; liter&aelig; in epitaph&yuml;
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casties
parents:
diff changeset
6744 ordinem dige$t&aelig; ac di$tribut&aelig; legebantur.</I></P>
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6745 <foot>S ij</foot>
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casties
parents:
diff changeset
6746 <p n=>140</p>
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casties
parents:
diff changeset
6747 <P>Diuo C&aelig;$ari Diui Iulij. F. Augu$to: Ti.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6748 <P>C&aelig;$ari Diui Augu$ti. F. Augu$to $acrum.</P>
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parents:
diff changeset
6749 <P><I>Hic igitur cum ob $itum (attingebat enim propemodum $acrarium
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casties
parents:
diff changeset
6750 ba$ilic&aelig; S. Petri, quod ad meridiem vergit) &amp; eorum quibus $acra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6751 tus erat execrationem, $ummo pontifici di$plicui$$et, vt al&yuml;s nonnul-
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parents:
diff changeset
6752 lis, qui ante eum in cathedra D. Petri $ederunt: $ed qui rem ob eius, vt
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diff changeset
6753 exi$timabant,</I> <G>a)dunami/an</G>: <I>aut ob $umptuum magnitudinem ab ag-
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diff changeset
6754 gre&szlig;ione deterriti, nunquam attentarunt. Sanctitati vi$um e$t, vt in
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6755 media V aticani area ante templi, quo nullum e$t magnificentius, ve-
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parents:
diff changeset
6756 $tibulum, loco Rom&aelig; ampli&szlig;imo &amp; celeberrimo, &amp; pontificalibus
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casties
parents:
diff changeset
6757 actionibus dedicato, collocaretur, &amp; $igno crucis eius apici impo$ito,
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parents:
diff changeset
6758 Chri$to Chri$tianorum duci vnico, &amp; $eruatori, obliterata pror$us
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parents:
diff changeset
6759 Paganorum con$ecratione, con$ecraretur, &amp; totus denique Chri$tia-
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casties
parents:
diff changeset
6760 nos pr&aelig;moneret, vt quemadmodum eius quatuor latera ab infima
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casties
parents:
diff changeset
6761 parte $ur$um ver$us paulatim gracile$cunt, quou$que acuti$simo
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parents:
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6762 apice, in quo e$t Chri$tus, terminetur: $ic di$cant m&etilde;tes $uas ab hono-
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parents:
diff changeset
6763 rum, diuitiarum, aliarum que rerum terre$trium, quibus maxime 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
6764 tent, cogitationibus &amp; cupiditatibus $ubtrahere &amp; $ubducere, 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
6765 ante con$i$tant: quam ill&aelig; in altum paulatim erect&aelig;, &amp; acutiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6766 fact&aelig;, Chri$tum, eumque crucifixum inueniant, $olum ament, hunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6767 $omnient, in $olo quie$cant, &amp; in eo $e$e noctes die$que oblectent.
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parents:
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6768 Hoc igitur vt fieret, ip$um obeli$cum $ine offen$ionis periculo pri-
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parents:
diff changeset
6769 mum oportebat &egrave; $uo $tylobata auellere: deinde humi vel $uper curri-
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parents:
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6770 culo reclinare: po$tea tran$uehere ad locum de$tinatum, ab hoc mille
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parents:
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6771 pedes di$tantem per tumulum agge$tum paulatim eminentiorem va-
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parents:
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6772 lidi$simis trabibus per aliquot tignorum $tatutiones religatis vndi-
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parents:
diff changeset
6773 quaque coercitum, ne immen$a vectur&aelig; mole fati$ceret: po$tea $en $im
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parents:
diff changeset
6774 in $ublime $ubrigere: po$tremo perpendiculariter $ubrectum $uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6775 $tylobata $uo collocare: nunc qui vectes, qu&aelig; ferramenta, qu&aelig; machi-
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parents:
diff changeset
6776 n&aelig;, quot oper&aelig;, qui modus tot molitionibus, quarum qu&aelig;libet factu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6777 propemodum</I> <G>a)du/na<+>os</G> <I>iudicabatur, adhibita $unt, dicam, vt ex qua-
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casties
parents:
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6778 dam epistola familiari Roma in Hi$paniam ad P.V elleium de hac
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casties
parents:
diff changeset
6779 re mi$$a, &amp; aliorum doctorum homin&utilde; $criptis, breuiter collegimus.</I></P>
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casties
parents:
diff changeset
6780 <P><I>Primum obeli$cus validi$simis octo columnis per latera circum-
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casties
parents:
diff changeset
6781 uallatus e$t, h&aelig; concathenat&aelig;, atque al&yuml;s $uccre$centibus &amp; conne-
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casties
parents:
diff changeset
6782 xis apicem obeli$ci ad $ix palmos pr&aelig;cellebant. His totidem fa$tigia</I>
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casties
parents:
diff changeset
6783 <p n=>141</p>
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casties
parents:
diff changeset
6784 <I>$uperimpo$ita, &agrave; quibus perpetu&aelig; intr&agrave; extr&aacute; que $uccedentes fulctu-
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casties
parents:
diff changeset
6785 r&aelig; $tatuta tigna $u$tentabant, $ic enim ca$ui &amp; in$lexionibus pro-
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casties
parents:
diff changeset
6786 $pectum. Tota h&aelig;c machina validi$simis laminis, ferrei$que clauis &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6787 vertice ad calcem religata, plurimis &amp; retinaculis, &amp; ductar&yuml;s fu-
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casties
parents:
diff changeset
6788 nibus vndequaque $uffulta. Quadraginta trochle&aelig; &agrave; totidem ergatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6789 mouend&aelig; fa$tigijs dictis alligat&aelig; erant. Horum $ingulis homines
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casties
parents:
diff changeset
6790 quindecim, equi duo de$tinati $unt, qui ad nutum pr&aelig;fecti (pr&aelig;erat
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casties
parents:
diff changeset
6791 autem, cuique ergat&aelig; vnus) pr&aelig;$to e$$ent. Pr&aelig;fecti ad $ignum tub&aelig;
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casties
parents:
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6792 vrgebant molitionem, cymbali $i$tebant. V ectes adiuncti $unt quin-
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casties
parents:
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6793 que $eptuaginta palmorum longitudine ex validi$simis trabibus
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casties
parents:
diff changeset
6794 compacti, tres ab obeli$ci fronte: duo &agrave; tergo. Primo impetu ferrea
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diff changeset
6795 qu&aelig;dam lamina, qu&aelig; machinam obeli$cum ambientem religabat,
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diff changeset
6796 di$rupta e$t, $ed hac vnius hor&aelig; $patio re$tituta, decem demum im-
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parents:
diff changeset
6797 pul$ibus duos palmos, ac dimidi&umacr; in altum obeli$cus eleuatur, ne ta-
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diff changeset
6798 men tanta pendente mole $ini$trum quid accideret, cunei $tatim ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
6799 tignorum c&aelig;$ur&aelig;, quibus obniteretur, $uppo$it&aelig;. Tum deinde a$$eri-
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diff changeset
6800 bus ac cylindris, cubi quidam, quibus in$idebat, dimoti, &amp; qu&aelig;dam
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parents:
diff changeset
6801 traha $uppo$ita. Hoc facto, qu&aelig; prima ad auellendum molitio acer-
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diff changeset
6802 rima fuit, $u$tenta tamen magnum ad reliquas aggrediendas adiecit
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diff changeset
6803 animum. Itaque ergat&aelig;, trabes, funes ductar&yuml;, c&aelig;teraque, vt conue-
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diff changeset
6804 niebat, mutata, atque in diuer$am formam compo$ita: &amp; ima pars
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diff changeset
6805 obeli$ci quatuor ergatarum viribus, qu&aelig; &agrave; tergo mouebantur, c&aelig;teris
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diff changeset
6806 qu&aelig; &agrave; fronte erant, funes remittentibus, trahi paulatim c&oelig;pit. Ip$e
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diff changeset
6807 vero apex clementi$sim&egrave; vergebat, quou$que famo $i$sima moles om-
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diff changeset
6808 nino integra, ac $ine vlla iactura humi decubuit. Atque h&aelig;c $ecun-
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diff changeset
6809 da molitio fuit. Po$tea per dictum tumulum $ex ergatarum vi trahi
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diff changeset
6810 c&oelig;pta e$t, &amp; quia huic $pectaculo intererat ip$e $ummus pontifex,
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parents:
diff changeset
6811 huius tanti tant&aelig; molitionis curatoris exactori$que in$tigante
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diff changeset
6812 operarum moras pr&aelig;$entia, brcuius quidem, quam cogitari pote$t,
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diff changeset
6813 pertracta e$t. Atque h&aelig;c tertia molitio fuit. po$tquam ad aliquot
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diff changeset
6814 dies, ne funes nimio calore conflagrarent, ob motum, &amp; a&euml;ris &aelig;$t<*>o-
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diff changeset
6815 $am tunctemporis con$titutionem, ce$$atum e$t, tandem eadem ma-
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diff changeset
6816 china, qua auul$us: $ed altiore propter loci eminentiam, externo in-
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diff changeset
6817 ternoque chomate muniti$sima, adhibitis ergatis quadraginta $ex,
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diff changeset
6818 equis centum quadraginta, hominibus $excentis, ex ergati$que qua-
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
6819 tuor imam obeli$ci partem trah&etilde;tibus. Reliqu&aelig; &agrave; cu$pide ad medium</I>
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diff changeset
6820 <foot>S iij</foot>
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diff changeset
6821 <p n=>142</p>
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parents:
diff changeset
6822 <I>religatum erexerunt, atque tandem quadraginta $eptem ni$ibus $te-
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parents:
diff changeset
6823 tit moles. Cubi, quibus antea in$idebat, $uppo$iti, &amp; in omnis $eculi
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parents:
diff changeset
6824 memoriam iam quinquaginta $ex &amp; amplius doctorum hominum
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parents:
diff changeset
6825 $criptis editis celebrata, ad perpendiculum collocata e$t. H&aelig;c quarta
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diff changeset
6826 &amp; quinta $unt molitio. Po$tquam vice$ima $exta men$is dicti glo-
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parents:
diff changeset
6827 rio$i&szlig;imo huic triumpho &agrave; pontifice delecta per B Feratin&umacr; Epi$co-
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parents:
diff changeset
6828 pum Amerin&umacr; &amp; cancellari&aelig; Apo$tolic&aelig; regent&etilde; $olemni prius ad
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diff changeset
6829 Petri altare $acrificio facto, &amp; circ&agrave; obeli$cum frequenti $upplicatio-
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diff changeset
6830 ne peracta, multaque $uper $ancti&szlig;im&aelig; Crucis $tatu&atilde; &aelig;ream, $ed affa-
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diff changeset
6831 br&egrave; inauratam, precat&umacr;, tradita e$t Crux Diacono $acris adhuc ve$ti-
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parents:
diff changeset
6832 bus induto, &agrave; quo denique in mucrone obeli$ci collocata e$t. quo tem-
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diff changeset
6833 poris momento cuncta tormentorum genera, qu&aelig; in Sancti Angeli
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diff changeset
6834 arce erant, a$siduos edidere bombos.</I></P>
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diff changeset
6835 <P><I>Itaque quod pri$cis illis natur&aelig; miraculis qu&aelig; &agrave; Leone decimo ad
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diff changeset
6836 Paulum III. or bis tulit, desperatum plan&egrave; opus iudicat&umacr; erat. Id n&umacr;c
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diff changeset
6837 Sixti V. Pontificis cura &amp; magnificentia, Dominici Fontan&aelig; ope-
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diff changeset
6838 ra &amp; indu$tria, &amp;</I> <G><+> mhxanikw_n</G> <I>auxilia perfecer&umacr;t, atque ab$ol-
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6839 uerunt tanto $pectantium applau$u, vt cum Fontana perfecto opere
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diff changeset
6840 domum reductus e$t, diceres Camillum vel Fabium magnum in ca-
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diff changeset
6841 pitolium triumphantem duci. Area vero V aticani in qua obeli$cus,
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parents:
diff changeset
6842 qualem in $equenti pagina tibi cum $uis titulis repr&aelig;$entamus, licet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6843 ampli$sima, hominum ad rei miraculum confluentium per multos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
6844 po$tea dies concur$um vix capere potuit.</I></P>
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parents:
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6845 <head>E MVLTIS EPIGRAMMIS DE
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6846 obeli$co, Cruce, &amp; Sixto $ummo Pontifice
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diff changeset
6847 hoc $electum h&icirc;c in$crip$imus.</head>
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diff changeset
6848 <P>&AElig;nea $erpentis Mo$es $imulachra $acerdos
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casties
parents:
diff changeset
6849 Extulit, &aelig;grotis vt medicina foret</P>
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casties
parents:
diff changeset
6850 <P>Nunc alter Mo$es obeli$ci in vertice Sixtus
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parents:
diff changeset
6851 Erigit &aelig;grotis &aelig;rea $igna Crucis</P>
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parents:
diff changeset
6852 <P>Vos &ocirc; Romani $u$tollite ad &aelig;thera vultus,
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parents:
diff changeset
6853 A Cruce nam vobis ve$tra petenda $alus.</P>
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casties
parents:
diff changeset
6854 <P><I>Gulielmus Blancus Albien$i. I. C.</I></P>
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parents:
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6855 <p n=>143</p>
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casties
parents:
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6856 <fig>
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casties
parents:
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6857 <cap>Sancti$$im&aelig; Cruci $acra-
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casties
parents:
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6858 uit Sixtus V. Pont. Max.
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casties
parents:
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6859 &egrave; priore $ede auul$um &amp;
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casties
parents:
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6860 C&aelig;$aribus Aug. &amp; Tib.
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casties
parents:
diff changeset
6861 11.ablatum.</cap>
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casties
parents:
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6862 <cap><I>Faciata &agrave; leuante.</I></cap>
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parents:
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6863 <cap>Ecce Crux Domini
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casties
parents:
diff changeset
6864 fugite partes aduer$&aelig;
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parents:
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6865 vincit leo de Tribu
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casties
parents:
diff changeset
6866 Iuda.</cap>
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casties
parents:
diff changeset
6867 <cap><I>Faciata &agrave; Tramontana.</I></cap>
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parents:
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6868 <cap>Sixtus V. Pontif. Max. Cruci
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casties
parents:
diff changeset
6869 inuict&aelig; obeli$cum vaticanum
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parents:
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6870 ab impura $uper$titione expia-
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casties
parents:
diff changeset
6871 tum Iu$tius &amp; Felicius con$e-
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parents:
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6872 crauit Ann. M. D. LXXXVI.
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casties
parents:
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6873 Pont. II.</cap>
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casties
parents:
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6874 <cap>Diuo C&aelig;$. Diui
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casties
parents:
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6875 Iulij F. Augu$to Ti.
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casties
parents:
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6876 C&aelig;$. Diui Augu$t.
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casties
parents:
diff changeset
6877 F. Augu$t. $acrum.</cap>
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casties
parents:
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6878 <cap><I>Faciata in ver$o pietro.</I></cap>
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casties
parents:
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6879 <cap>Chri$tus vincit,</cap>
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casties
parents:
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6880 <cap>Chri$tus regnat,</cap>
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casties
parents:
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6881 <cap>Chri$tus imperat,</cap>
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casties
parents:
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6882 <cap>Chri$tus ab omni malo
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casties
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6883 plebem $uam defendat.</cap>
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diff changeset
6884 <cap><I>Della faciata &agrave; mez zo giorne.</I></cap>
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diff changeset
6885 <cap>Sixtus V. Pont. Max. obeli
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6886 vaticanum,
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diff changeset
6887 di$. gentium.</cap>
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6888 <cap>Impio cultu dicatum ad Apo$t
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diff changeset
6889 rum limina opero$o labore
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6890 Tran$tulit.</cap>
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6891 <cap>Ann. M.D. LXXXV. Pont</cap>
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6892 <p n=>144</p>
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6893 <P><+></P>
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6894 <P>20. Cur $ecuris feriens di-
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diff changeset
6895 uidit: premens vero non
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diff changeset
6896 item.</P>
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6897 <P><+></P>
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6898 <P>Our $i quis magnam $e-
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6899 curim $uper lignum impo-
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6900 $uerit, &amp; illi in$uper ma-
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6901 gnum pondus, lignum non
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6902 diuidit, quod $it effatu di-
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6903 gnum: at $i quis $ecurim at-
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6904 tollens percu$$erit, ip$um
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diff changeset
6905 diuidit, ip$o percutiente
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diff changeset
6906 mult&ograve; minus pondus ha-
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6907 bente: quam $it id, quod
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6908 impo$itum erat, &amp; preme-
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6909 bat. An quia omnia motio-
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6910 ne fiunt: &amp; graue commo-
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6911 tum magis: quam quie$c&etilde;s
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6912 motionem grauitatis acci-
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6913 pit. Impo$itum igitur non
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6914 mouetur, ni$i motione gra-
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6915 uitatis [propri&aelig;]: commotum vero &amp; ip$a &amp; motione
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6916 percutientis.</P>
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6917 <head>COMMENTARIVS.</head>
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6918 <P>Cvr$i quis.] <I>Problema de $ecuri, qu&aelig;$ecat dum percutit, non
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6919 autem dum $impliciter incumbit, duobus modis $oluitur. Prior
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diff changeset
6920 $umptus e$t &egrave; communi $ententia phy$icorum a$$erentium, omnia
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diff changeset
6921 motione fieri. Syllogi$mus igitur $ic e$t.</I></P>
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diff changeset
6922 <P><I>Cum omnia motione fiant, proinde &amp; $ectio, quod duplici mo-
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diff changeset
6923 tione commotum crit, magis mouebit: quam id, quod vna.</I></P>
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6924 <P><I>Sed graue commotum, vt magna $ecuris feriens, duplici
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diff changeset
6925 motione mouetur, vna grauitatis propri&aelig;: altera percu-
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diff changeset
6926 tientis. Graue autem impo$itum vna tantum mouetur,
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diff changeset
6927 nempe grauitatis propri&aelig;.</I></P>
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6928 <foot><I>Ergo</I></foot>
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6929 <p n=>145</p>
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diff changeset
6930 <P><I>Ergo magna $ecuris feriens $ecabit: impo$ita vero minim&egrave;.</I></P>
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diff changeset
6931 <P>Motione grauitatis.] <G>xi/nhsis tou_ bar/ous</G> <I>e$t motus cuique
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diff changeset
6932 graui occultus inh&aelig;rens.</I></P>
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diff changeset
6933 <P><+></P>
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diff changeset
6934 <P>Pr&aelig;terea $ecuris fit cu-
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diff changeset
6935 neus. Cuneus aut&etilde; paruus
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6936 exi$t&etilde;s magna diuidit. quia
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diff changeset
6937 ex duobus vectibus con$ti-
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diff changeset
6938 tutus e$t contrario modo
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diff changeset
6939 collocatis.</P>
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6940 <head>COMMENTARIVS.</head>
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diff changeset
6941 <P>Pr&aelig;terea $ecuris.] <I>Altera e$t problematis propo$iti $olutio
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diff changeset
6942 $umpta &egrave; cunei forma, qu&aelig; in $ecuri propter aciem acutam, &amp; $u-
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diff changeset
6943 perioris partis latitudinem con$picua e$t. Comprehendetur hoc $yl-
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diff changeset
6944 logi$mo.</I></P>
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parents:
diff changeset
6945 <P><I>Cuneus paruus cum $it, magna diuidit. (ex anteced.)</I></P>
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parents:
diff changeset
6946 <P><I>Securis feriens e$t cuneus.</I></P>
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parents:
diff changeset
6947 <P><I>Ergo $ecuris feriens magna diuidet.</I></P>
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diff changeset
6948 <P><I>Sed hic ob&yuml;ci pote$t, quod $ecuris impo$ita etiam e$t cuneus. Et ita
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diff changeset
6949 e$t, $ed nonactu. Quia opus e$t malleo percutiente, tanquam motore
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
6950 vectium. Securis autem feriens e$t cuneus annexus malleo, &amp; ideo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
6951 actu cuneus.</I></P>
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diff changeset
6952 <P><I>Cardanus propo$itum problema aliter $oluit, cau$amque putat.
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6953 quia a&euml;r non pote$t in ictu effugere. quanquam enim acuta cu$pide $it
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6954 $ecuris, momento tamen tam paruo temporis effugere nequit. Ne igi-
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diff changeset
6955 tur nimis den$etur, cogitur in poros ingredi $ubiecti ligni, at que cu-
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6956 nei vice diuidere illud. Indicio e$t, inquit, quod paulo tardior ictus</I>
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6957 <marg>Lib. 17. de
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6958 $ubt.</marg>
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6959 <I>maximum in diuidendo di$crimen adfert dilabente a&euml;re. Solutionem
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6960 hanc reprehendit Scaliger, con$entitque cum Ari$totele motum mo-</I>
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6961 <marg>Exerc. 331.</marg>
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6962 <I>uere, &amp; $ecurim, $i comprimatur manu, $ecare propter nixum: multo
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diff changeset
6963 magis $i ictu adigatur, &amp; ex Ioanne Iucundo proponit aliud proble-
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diff changeset
6964 ma dignum qu&aelig;$itu. Quot pondo proportionem habeat pugnus ho-
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diff changeset
6965 minis ferientis, cum $eip$o non feriente comparatus.</I></P>
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diff changeset
6966 <foot>T</foot>
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6967 <p n=>146</p>
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6968 <P><+></P>
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6969 <P>21. De $tateris.</P>
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6970 <P><+></P>
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6971 <P>Cur $tater&aelig; paruo &aelig;qui-
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diff changeset
6972 pondio carnium magna
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6973 pondera expendunt, cum
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6974 tot&aelig; dimidia $int libra. Vbi
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diff changeset
6975 enim pondus apponitur,
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parents:
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6976 appen$a e$t duntaxat lanx.
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parents:
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6977 Ex altera vero parte $olum
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diff changeset
6978 e$t $tater&aelig; $capus. An 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
6979 contingit $tateram $imul
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
6980 e$$e libram &amp; vectem. Li-
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
6981 bra quid&etilde; e$t, vbi vnaqu&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
6982 que an$arum fit centrum
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
6983 $tater&aelig;. I gitur in alter a 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
6984 te habet lancem: in altera
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
6985 pro lance &aelig;quipondium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6986 quod libr&aelig; incumbit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
6987 Quemadmodum $i quis 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
6988 teram lancem &amp; pondus
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
6989 in eius $ummitate impo-
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
6990 neret. Clarum enim 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
6991 quod hoc pondus in altera
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
6992 lance $itum trahit. Vt au-
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diff changeset
6993 tem vna libra mult&aelig; libr&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
6994 $int in tali libra, mult&aelig; an$&ecedil;
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
6995 adiect&aelig; $unt, &egrave; quibus vna-
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
6996 qu&aelig;que ad eas partes, vbi
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
6997 e$t &aelig;quipondium, dimi-
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diff changeset
6998 dium e$t $tater&aelig;.</P>
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
6999 <head>COMMENTARIVS.</head>
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diff changeset
7000 <P>De $tateris.] <G>fa/lagc</G> <I>apud Gr&aelig;cos multa $ignificat vt 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
7001 ternodium in digitis, ordinem &amp; agmem militare 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
7002 quam latius, ligna teretia, quibus naues in mare deuoluuntur: $ed h&icirc;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
7003 <p n=>147</p>
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parents:
diff changeset
7004 <I>$ignificat libr&aelig; genus, quod trutina, ab al&yuml;s $tatera appellatur. Huitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7005 partes quatuor $unt A B $capus, C D an$a, A E harpago 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
7006 lanx, F G</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
7007 <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
7008 <I>&aelig;quip&otilde;dium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7009 Gr&aelig;cis 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
7010 ctum</I> <G>sfai/-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7011 rwma</G> <I>no$tris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7012 Marcum 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
7013 Roman&utilde;. 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
7014 truuius dixit inuentam fui$$e $tateram, vt ab iniquitate iu$tis mori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7015 bus hominum vita vindicetur. Vnde e$t apud $apientem $tatera do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7016 lo$a abhominatio e$t apud Deum, &amp; pondus &aelig;quum voluntas eius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7017 In rebus autem pretio$is licet libra, non $tatera v$urpetur, quia 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
7018 exacta e$$e non pote$t: in vilioribus tamen, quia iniquitatis parua ia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7019 ctura e$t, frequenti&szlig;im&egrave; v$urpatur, propter operis commoditatem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7020 Nam libra vti non po$$umus, ni$i paria pondera pen$ionibus $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7021 habeantur, quarum apparatus atque tractatio e$t magis opero$a &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7022 mole$ta. In $tater is autem quicquid appender is $eu magnum, $eu par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7023 uum vnico pondere, hoc e$t &aelig;quipondio: distinctione tamen 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
7024 rum in $capo examinatur. Id cnim in $capo ita impo$itum e$t, vt mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7025 d&ograve; ad an$am, mod&ograve; ab an$a remoueatur, vt maiora &amp; minora pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7026 dera libret, &amp; vi mouenti re$pondeat. Nam velut aliqua manus va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7027 lida longiorem $tater&aelig; $capum deprimit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7028 <P>Cur $tater&aelig;.] <I>Problema e$t de $tatera, qu&aelig; paruo &aelig;quipondio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7029 magna appendit pondera. Et problematis difficultas hinc o$tenditur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7030 quod $tatera videatur tantum e$$e dimidia libra, vt in cuius vna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7031 parte lanx e$t vna dependens, ex altera vero $capus. Rationi igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7032 con$entaneum e$tne tanta pendat, quanta libra integra.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7033 <P>An quia contingit.] <I>Solutio problematis petitur ex libra, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7034 vecte, ex libra dupliciter. Syllogi$mus prior $ic erit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7035 <P><I>Libra expendit magna pondera.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7036 <P><I>Statera e$t libra, vt in cuius vna parte vna e$t lanx, in alter<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7037 vice alterius lancis, e$t &aelig;quipondium, quod pro $ua gra<*>itate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7038 deprimit $capum, &amp; facit &aelig;quilibrium, &amp; extremum an$<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7039 e$t centrum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7040 <P><I>Ergo &amp; $tatera magna expendet pondera.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7041 <foot>T ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7042 <p n=>148</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7043 <P>Vt autem vna libra.] <I>Syllogi$mus po$terior $ic e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7044 <P><I>Mult&aelig; $imul libr&aelig; magna expendunt pondera.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7045 <P><I>Statera, cui plures an$&aelig; adiect&aelig; $unt, vel vna, $ed per plura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7046 puncta mobilis, e$t mult&aelig; libr&aelig; $imul.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7047 <P><I>Ergo $tatera magna expendet pondera.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7048 <P><I>Statera certe mult&aelig; $unt libr&aelig; actu &amp; pote$tate. Et primum actu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7049 cum an$&aelig; ($ic enim</I> <G>ta\ <+>ar/tia</G> <I>exprimi debere declarant multi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7050 huius contextus loci inter $e comparati) plures $unt in vno $capo, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7051 du&aelig;, quod frequenti&szlig;imum, vel tres, quod rarius: cuiu$modi $unt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7052 A B $capo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7053 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7054 <I>du&aelig; C D, E F
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7055 quarum pro-
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casties
parents:
diff changeset
7056 piore lanci,
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casties
parents:
diff changeset
7057 qui vtuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7058 pondera ad
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casties
parents:
diff changeset
7059 cra&szlig;ior&etilde; tru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7060 tinam $e ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7061 pendere dicunt. quod huius not&aelig; longius inter$e di$tent: qui vero re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7062 motiore, ad $ubtiliorem, vt in qua not&aelig; minus di$tent in lateribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7063 $capi $ignat&aelig;. Deinde pote$tate plures $unt, cuman$a vna e$t, $ed mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7064 nim&egrave; fixa, verum libero modo propius A, modo remotius colloca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7065 tur. Semper autem in aliquo puncto inter A &amp; B intermedio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7066 Vnde e$t quod h&icirc;c dicat Ari$toteles an$am ad partes, vbi e$t &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
7067 pondium, e$$e dimidium $tater&aelig;, non $umendo dimidium exact&egrave;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7068 quandoquidem extremo, &agrave; quo lanx dep&etilde;det $emper propior $it. Hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7069 elicitur pulchra regula &egrave; qua po$tea fer&egrave; omnia, qu&aelig; ad $tater&aelig; ratio-
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diff changeset
7070 nem pertinent, dedueuntur. qu&aelig; e$t eiu$modi. Cum $capus integer ad
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diff changeset
7071 pondus appen$um, rationem eam habet: quam duplum partis, qu&aelig; e$t
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diff changeset
7072 ab an$a ver$us lancem ad reliquum: tunc p&otilde;dus $capum vniformem,
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diff changeset
7073 &amp; omnibus $uis partibus &aelig;qualem in &aelig;quilubrio con$tituit. Vt e$to
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diff changeset
7074 $capus A B duodecim vnciarum, &amp; pars A F dudr&utilde;: huius partis
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diff changeset
7075 duplum e$t 4. &amp; reliquum 8. Quemadmodum ergo 4. ad 8. $ic $ca-
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diff changeset
7076 pus <*>otus id e$t 12. erit ad pondus, quod per regulam trium inuenie-
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diff changeset
7077 tur e$$e 4. vnciarum. Rur$us $it an$a in D &amp; A D $it vna vn-
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diff changeset
7078 cia. Huius duplum e$t 2. Reliquum e$t 10. Vtigitur 2. ad 10. $ic 12.
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diff changeset
7079 totus $capus erit ad pondus: quod per regulam trium inuenietur e$$e</I>
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diff changeset
7080 <p n=>149</p>
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diff changeset
7081 60. <I>vnciarum. Vbi notandum lancem in hoc numero pro $uo pon-
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diff changeset
7082 dere includi. Notandum etiam pondus impo$itum lanci e$$e perinde
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diff changeset
7083 atque $i in puncto A imponeretur. Sed de his qui mult&ograve; plura vide-
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diff changeset
7084 re volet, videat apud Cardanum lib. 1. de $ubtilitate.</I></P>
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diff changeset
7085 <P><+></P>
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diff changeset
7086 <P>Et &aelig;quipondium ab an-
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diff changeset
7087 $ulis inuicem commotis, vt
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diff changeset
7088 commetiatur quantum $it
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diff changeset
7089 pondus, trahit id, quod e$t
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diff changeset
7090 in lance po$itum. Atq; co-
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diff changeset
7091 gno$cere licet, quant&utilde; pon-
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diff changeset
7092 dus lanx habeat, quando
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diff changeset
7093 $tater&aelig; $capus ad an$am re-
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diff changeset
7094 ctus fuerit. Omnino qui-
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diff changeset
7095 dem hoc e$t libra habens
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diff changeset
7096 vnam lancem, in qua pon-
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diff changeset
7097 dus appenditur, &amp; ex alte-
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diff changeset
7098 ra parte in $tatera equipon-
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diff changeset
7099 dium. Propterea altera pars
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diff changeset
7100 $tater&aelig; e$t &aelig;quipondium.
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parents:
diff changeset
7101 Et talis exi$tens mult&aelig; $unt
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diff changeset
7102 libr&aelig;, &amp; quidem tot, quot
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diff changeset
7103 $unt an$&aelig;.</P>
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diff changeset
7104 <head>COMMENTARIVS.</head>
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
7105 <P>Et &aelig;quipondium.] <I>Hic textus interiectus quidem e$$e vide-
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diff changeset
7106 tur, non ita tamen inutilis, vt totus re&yuml;ciendus $it, quod aliquis
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diff changeset
7107 interpres fecit. Indicat enim modum, quo cogno$catur p&otilde;deration 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
7108 &aelig;quilibrium. quod e$t vbi in appendendo $capus $tater&aelig; cum an$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
7109 rectos con$tituit angulos, tuncque e$t parallellus plano horizon<*>is.</I></P>
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
7110 <P><+></P>
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diff changeset
7111 <P>Semper autem an$a pro-
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7112 pinquior lanci, ponderan-
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parents:
diff changeset
7113 doque oneri, trahit maius
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diff changeset
7114 pondus. quia $tatera cffici-</P>
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parents:
diff changeset
7115 <foot>T iij</foot>
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diff changeset
7116 <p n=>150</p>
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parents:
diff changeset
7117 <+>
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parents:
diff changeset
7118 <P>tur vectisinuer$us. E$t enim
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diff changeset
7119 an$a qu&aelig;libet $upern&egrave; exi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7120 $tens hypomochlium. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
7121 pondus id quod e$t in lan-
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parents:
diff changeset
7122 ce. Quant&ograve; autem longi-
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parents:
diff changeset
7123 tudo vectis maior fuerit ab
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parents:
diff changeset
7124 hypomochlio: tant&ograve; ibi fa-
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casties
parents:
diff changeset
7125 cilius mouet. H&icirc;c autem
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casties
parents:
diff changeset
7126 $acoma facit &amp; ponderat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7127 ad &aelig;quipondium pondus
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parents:
diff changeset
7128 $tater&aelig;.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7129 <head>COMMENTARIVS.</head>
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parents:
diff changeset
7130 <P>Omnino quidem.] <I>Repetitio e$t a$$umptionum pr&aelig;ceden-
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
7131 tium $yllogi$morum $cilicet,</I></P>
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parents:
diff changeset
7132 <P><I>Statera e$t omnino libra.
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casties
parents:
diff changeset
7133 &amp;
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casties
parents:
diff changeset
7134 Statera mult&aelig; $unt libr&aelig;.</I></P>
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parents:
diff changeset
7135 <P>Semper autem.] <I>Po$tquam o$ten$um e$t $tateram magna 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
7136 derare pondera: nunc qu&aelig;ritur quare tant&ograve; maiora ponderet: quant&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
7137 an$am lanci habet propinquiorem. Ratio e$t quia vectis e$t, &amp; $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
7138 concluditur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7139 <P><I>Qu&ograve; vectis habet hypomochlium propius ponderi mouendo, 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
7140 maius mouet. Reliquum enim ab hypomochlio longius e$t.</I></P>
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parents:
diff changeset
7141 <P><I>Statera e$t vectis inuer$us. Nam an$a e$t by pomochlium $u-
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parents:
diff changeset
7142 perne exi$tens, &amp; id quod lanci imponitur e$t pondus
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parents:
diff changeset
7143 mouendum, vis mouens e$t &aelig;quipondium.</I></P>
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parents:
diff changeset
7144 <P><I>Ergo qu&ograve; an$a erit propior ponderi, e&ograve; $tatera maiora pondera-
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parents:
diff changeset
7145 bit pondera.</I></P>
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casties
parents:
diff changeset
7146 <P>H&icirc;c autem $acoma.] <I>Hic locus &egrave; Gr&aelig;co in Latinuna verbo
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parents:
diff changeset
7147 ad verbum ver$us difficilem, ne dicam nullum $en$um habet. Vide-
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parents:
diff changeset
7148 tur tamen Ari$toteles &amp; appo$it&egrave; volui$$e $ignificare &aelig;quipondium
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casties
parents:
diff changeset
7149 e$$e in $tatera, vim mouentem, &amp; vnum actu cum $it, quia tamen
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parents:
diff changeset
7150 per varias not as di$currere pote$t in $tatera, pr&aelig;$tare ad diuer$a pon-
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parents:
diff changeset
7151 dera pendenda, quod in altera libr&aelig; lance diuer$a $acomata. E$t enim</I>
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parents:
diff changeset
7152 <p n=>151</p>
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7153 <G>sh/xw ma,</G> <I>vt annotauit Bud&aelig;us in Pandect. quod apponitur in libra
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diff changeset
7154 ad &aelig;quilibrium faciendum. Vnde &amp; apud Vitruuium legimus re-</I>
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parents:
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7155 <marg>Cap. 3. lib.</marg>
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7156 <I>demptorem ad tempus opus manufactum $ubtiliter regi approba-
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casties
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7157 ui$$e, &amp; ad $acoma pondus coron&aelig; vi$um e$$e pr&aelig;$titi$$e. C&aelig;terum
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parents:
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7158 quam rationem habeat &aelig;quipondium ad $e$e pro var&yuml;s inter$tit&uuml;s,
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casties
parents:
diff changeset
7159 quibus remouetur ab an$a, colligi pote$t ex V baldo per corollarium
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casties
parents:
diff changeset
7160 quod deduxit &egrave; prop. 6. tractatus de lib. in Mech. quod tale e$t. Ma-
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7161 nife$tum e$t qu&ograve; pondus &agrave; centro libr&aelig; magis di$tat, e&ograve; grauius e$$e,
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7162 &amp; per con$equens velocius moueri. Et &aelig;quipond&yuml; grauitatem in
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7163 vno loco ad grauitatem eiu$dem in altero, eam rationem habere per
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7164 experientiam noui$$e $e dicit Cardanus, quam habet remotio ad re-</I>
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7165 <marg>65. c. Arich</marg>
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7166 <I>motion&etilde;.</I>
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7167 <fig>
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7168 <I>vt $i &aelig;qui
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7169 pondi&utilde; K
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7170 in D ele-
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7171 uet libras
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7172 20. &amp; in
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7173 E 25. ele-
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7174 uabit in F
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7175 30. In G 35. In H 40. Sic &aelig;quali $patio &aelig;quale acquir&etilde;s augment&utilde;.</I></P>
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7176 <P><I>Et quidem $tater&aelig; ratio demon$trari pote$t. Sit $tater&aelig; $capus
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7177 H B cu-</I>
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7178 <fig>
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7179 <I>ius an$a
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7180 $it A C,
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7181 &amp; eius
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7182 &aelig;quipon-
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7183 dium E,
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7184 appenda-
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7185 tur vero
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7186 ex H p&otilde;-
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7187 dus D,
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7188 quod &aelig;quiponderet &aelig;quipondio E in F appen$o. Aliud quoque pon-
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7189 dus G appendatur in H, quod etiam &aelig;quipondio in B appen$o.
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7190 &aelig;quiponderet.</I></P>
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7191 <P><I>Dico grauitatem ponderis D ad grauitatem ponderis G i<*>
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7192 vt C F ad C B.</I></P>
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7193 <p n=>152</p>
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7194 <head>Demon$t.</head>
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7195 <P><I>Quia grauitas ponderis D e$t &aelig;qualis grauitati ponderis E ex F
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7196 dependentis, &amp; grauitas ponderis G e$t &aelig;qualis grauitati ponderis
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7197 E ex B, erit grauitas ponderis D ad grauitatem E ex F: vt gra-
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diff changeset
7198 uitas ponderis G ad grauitatem ponderis E ex B, &amp; permutatim
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7199 prop. 16. lib. 5. vt grauitas ponderis D ad grauitatem ponderis G:
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7200 ita grauitas ip$ius E ex F ad ip$um E ex B. Grauitas autem pon-
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7201 deris E ex F dependentis ad grauitatem ponderis E ex B e$t: vt
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7202 C F ad C B, vt demon$trat V baldus prop. 6. tract. delib. vt igitur
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7203 grauitas ponderis D ad pondus G: ita e$t C F ad C B. Si ergo
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diff changeset
7204 pars $capi C B diuidatur in partes &aelig;quales $olo pondere E, &amp; pro-
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7205 pius &amp; longius &agrave; puncto C po$ito, ponderum grauitates ex puncto
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7206 H appen$&aelig; not&aelig; erunt. Exempli gratia $it di$tantia C B tripla ad
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7207 C F, erit pondus G triplum ponder is D. quod demon$trare oportebat.</I></P>
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7208 <P><+></P>
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7209 <P>22. De dentiduco.</P>
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7210 <P><+></P>
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7211 <P>Cur medici facilius den-
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7212 tes exim&utilde;t accipi&etilde;tes pon-
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7213 dus, d&etilde;tiducum: qu&atilde; $i $ola
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7214 vtantur manu. Vtrum quia
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7215 dens magis manum pr&aelig;-
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7216 terlabitur, quam dentidu-
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7217 cum? vel ferrum quidem
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7218 magis labitur manu, neque
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7219 ip$um vndique compreh&etilde;-
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7220 dit. E$t enim digitorum
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7221 caro mollis, &amp; adh&aelig;ret ma-
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7222 gis, atque vndique con-
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7223 gruit. Verum quia denti-
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7224 ducus e$t duo vectes aduer-
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7225 $i, vnum hypomochli&utilde; ha-
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7226 bentes in concur$u com-
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7227 mi$$ur&aelig;. I gitur ad ex&etilde;ptio-
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7228 n&etilde;, vt facili^{9} dimoue&atilde;t, hoc
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7229 vtuntur organo. Sit enim
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7230 <foot>dentiduci</foot>
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7231 <p n=>153</p>
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7232 <+>
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7233 dentiduci extremum alte-
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7234 <fig>
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7235 rum <G>a,</G> alterum <G>b,</G> quod
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7236 eximit, vectis vero <G>a q z,</G>
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7237 &amp; alter vectis <G>b g e</G>: hypo-
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7238 mochlium ver&ograve; <G>q</G> vbi e$t c&otilde;-
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7239 mi$$ura: d&etilde;s ver&ograve; p&otilde;dus e$t.
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7240 Vtroque igitur extremo <G>b
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7241 &amp; z</G> $imul capiens dimouet:
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7242 quando vero emotus fuerit, manu facilius: quam in$tru-
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7243 mento eximetur.</P>
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7244 <head>COMMENTARIVS.</head>
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7245 <P>De dentiduco.] <G>o)donta/<+>an h)\ o)donta/gw<+>n</G> <I>vertit C&aelig;lius
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7246 Aurelianus cap. 4. lib. 2.</I> <G><+>oniw_n</G> <I>pa&szlig;ionum dentiducum: Cel-
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7247 $us forficem, &amp; generaliter forcipem. E$t autem in$trumentum, quo
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7248 dens eximitur. Corro$us enim aut vehementer dolens pr&aelig;$cripto
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7249 medicorum eximi iubetur. Refert tamen Era$i$tratus, vt e$t apud
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7250 C&aelig;lium Aurelianum, plumbeum odontagogum apud Delphum in
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7251 templo Apollinis, o$tentationis cau$a propo$itum, quo demon$traba-
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7252 tur oportere $olos eos dentes auferri, qui $int faciles, vel mobilitate
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7253 laxati, vel quibus $ufficeret plumbei in$trumenti conamen ad $um-
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7254 mum. Et profect&ograve; dens integer, &amp; firmus, quid vtilis e$t ad bene e$$e,
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parents:
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7255 temer&egrave; eximi non debet, vt pa&szlig;im fit, $ine iu$$u medicorum &agrave; vulga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7256 ribus &amp; circumforaneis illis, qui ab hac $ola chirurgica actione den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7257 tiduci appellantur, propter quorum inpudentiam multi nobiles chi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7258 rurgi operationem hanc, alioqui nece$$ariam aliquando, nec omnibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7259 facilem, dedignantur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7260 <P>Cur medici.] <I>Propo$itio e$t problematis de dente, cur facilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7261 dentiduco, quam $ola manu eximatur, cui repugnantia ad augendam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7262 difficultatem $ed vnico ponderis vocabulo in $inuata, opponitur, qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7263 $i diceretur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7264 <foot>V</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7265 <p n=>154</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7266 <P><I>Pondus adiectum ponderi non facilius mouet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7267 <P><I>Dentiducus e$t pondus, &amp; denti vt ponderi mouendo ad&yuml;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7268 citur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7269 <P><I>Non igitur facilius mouet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7270 <P>Vtrum quia dens.] <I>H&icirc;c continetur demon$tratio problema-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7271 tis. V bi notandum dentem eximendum, vt melius eximatur, duo an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7272 te exemptionem po$tulare, prius, vt firm&egrave; apprehendatur: alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7273 vt valid&egrave; dimoueatur. In quo con$i$tit pr&aelig;cipu&egrave; pars exemptionis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7274 quandoquidem dens in gingiu&aelig; $u&aelig; gynglimo e$t, vt clauus ligno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7275 infixus. Horum autem prius primum quidem dentiduco attribuit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7276 vt minoris tamen momenti etiam relinquit digitis manus, vt quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7277 rum caro mollis vndiquaque dentem melius apprehendat, atque huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7278 congruat: $ed alterum quod vim po$tulat maiorem $oli dentiduco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7279 c&otilde;mittit. quia ip$e $it vectis duplicatus. Ratio igitur $ic concludetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7280 <P><I>Pondus facilius vecte: quam manu $ola mouetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7281 <P><I>Dentiducus e$t duo vectes $ibi inuicem oppo$iti. Habent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7282 enim in commi$$ura hypomochlium, &amp; dens e$t pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7283 mouendum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7284 <P><I>Ergo dens dentiduco facilius: quam manu $ola mouebitur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7285 <P>Sit enim dentiduci.] <I>Lineari demon$tratione o$tenditur 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
7286 cedentis $yllogi$mi a$$umptio.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7287 <P>Quando ver&ograve; emotus.] <I>Factis &yuml;s, qu&aelig; ante exemptionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7288 po$tulabat fieri dens eximendus, vltimum quod e$t exemptio melius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7289 fieri &agrave; digit is: quam &agrave; dentiduco a$$erit Ari$toteles, nulla tamen ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7290 tione adhibita, licet in clauis ferreis &egrave; ligno eximendis, totum per for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7291 cipem melius ab$oluatur negotium. Sed res di&szlig;imilis videbitur dili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7292 gentius attendenti. Nam in clauo eximendo iam emoto forceps ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7293 eminentiori $ui parte vt</I> <G>x</G> <I>vel</I> <G>l</G> <I>parietem, aut lignum attingit, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7294 punctum contactus fit fulcimentum, &amp; huic totus vt vectis vnus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7295 effectus innititur, vnde etiam clauus flectitur, &amp; contorquetur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7296 euul$ione. quia motus non fit $ecundumrectam: at in dente eximen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7297 do, non datur locus tali coaptationi propter gingiu&aelig; $ubiect&aelig; molli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7298 ciem, &amp; eiu$dem l&aelig;$ionis periculum, &amp; vt daretur dens potius $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7299 frangeretur: quam contorqueretur, $icque &egrave; parte tantum eximeretur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7300 magno dolor is augmento, &amp; reliqu&aelig; partis incommodo. Itaque rect&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7301 $ur$um educi po$tulat, quod melius fit manu ob apprehen$ionis vndi-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7302 <p n=>155</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7303 <I>quaque fact&aelig;, vt anted dictum e$t, commoditatem maior&etilde;, &amp; rect&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7304 eleuationis nullis propemodum viribus indig&aelig; opportunitatem.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7305 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7306 <P>23. De in$trumentis 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
7307 faciunt ad frangendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7308 nuces.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7309 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7310 <P>Cur facilius in nucifran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7311 gibulis nuces $ine ictu fr&atilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7312 gunt. Multa enim vis illa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7313 tionis &amp; viol&etilde;ti&aelig; demitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7314 Pr&aelig;terea duro &amp; graui c&otilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7315 primens velocius fregetit:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7316 quam ligneo &amp; leui in$tru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7317 mento. An quia $ic vtrin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7318 que &agrave; duobus vectibus nux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7319 c&otilde;primitur, vecte vero fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7320 cile pondera diuelluntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7321 in$trumencum enim duo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7322 bus con$tat vectibus, Idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7323 hypomochlium hab&etilde;tibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7324 contactum vbi e$t A. Vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7325 igitur $i line&aelig; E D, F C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7326 diduct&aelig; e$$ent extremis C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7327 D motis, facile ab exigua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7328 vi coadducerentur. Quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7329 igitur ex ictu pondus feci$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7330 $et, hoc valentius E D &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7331 F C vectes c&utilde; $int, efficiunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7332 Elatione enim in aduers&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7333 tollunt, &amp; comprimentes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7334 frangunt, quod e$t vbi K.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7335 Ob id quant&ograve; ip$i K fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7336 propior commi$$ura A tan-
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casties
parents:
diff changeset
7337 t&ograve; citius conterit. 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
7338 <foot>V ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7339 <p n=>156</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7340 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7341 enim plus di$titerit vectis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7342 ab hypomochlio, tant&ograve; fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7343 cilius ab eadem vi mouet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7344 E$t igitur A hypomochli&utilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7345 &amp; E A D vectis, vt &amp; F A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7346 C. Quant&ograve; igitur ip$um K
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7347 propius fuerit angulo A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7348 tant&ograve; propius fit commi$$u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7349 r&aelig; A. H&aelig;c ver&ograve; e$t hy po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7350 mochlium. Nece$$e igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7351 ab eadem vi coadducente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7352 E, F plus extolli. Et quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7353 eleuatio ex aduer$o e$t, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7354 gis conteri nece$$e e$t, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7355 gis ver&ograve; contritum celerius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7356 frangitur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7357 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7358 <P>De in$trumentis.] <I>In$trumentum ad frangendum nuces
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7359 pote$t appellari nucifrangibulum, &amp; hoc non differt &agrave; forcipe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7360 ni$i quia leuiter in extremis excauatur ad excipiendum nucem fran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7361 gendam commodius, Huiu$mo-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7362 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7363 <I>di e$t F A C E A B.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7364 <P>Cur facilius.] <I>Qu&aelig;ritur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7365 cur nucifrangibulum ab$que ictu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7366 facillim&egrave; frangat nucem. Quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7367 problema, vt anteced&etilde;s, generale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7368 e$$e pote$t de quouis forcipe &amp; forfice, ad capiendum $cindendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7369 frangendum qualibus multis chirurgi, &amp; quiuis manuales artifices
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7370 opera $ua exercent &amp; perficiunt.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7371 <P>Multa enim vis.] <I>Repugnantia e$tad augendam problematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7372 difficultatem $ic,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7373 <P><I>Quod vim adfert motioni, plus valet ad frangendum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7374 <P><I>Ictus motioni vim adfert.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7375 <P><I>Ictus igitur ad frangendum plus valet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7376 <p n=>157</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7377 <P>Pr&aelig;terea duro.] <I>Alterum e$t qua$i problema quod nuci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7378 frangibulum durum &amp; graue facilius frangat: quam ligneum &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7379 leue. Cum tamen contra euenire deberet. Siquidem graue quod e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7380 difficilius emoueatur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7381 <P>An quia $ic vtrinque.] <I>Demon$tratio e$t problematis $ic.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7382 <P><I>Valide comprimentia compre$$um frangunt.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7383 <P><I>Nucifrangibulum valid&egrave; nucem comprehen$am comprimit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7384 quia duplicatus e$t vectis, vnum hypomochlium, vt in A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7385 commi$$ura habentibus. Diductis enim B C extremis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7386 vectium E A B &amp; F A C &agrave; viribus in E &amp; 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
7387 alteris vectium extremis exi$tentibus, $i ip$a compriman-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7388 tur etiam B &amp; C comprimentur. Quare &amp; nux D in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7389 terpo$ita, &amp; valide compre$$a frangitur, tant&ograve; celerius:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7390 quant&ograve; extrema B &amp; C minus di$tabunt ab hypomoch-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7391 lio A. Sic enim ali&aelig; partes vectium ab ip$o di$tantes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7392 maiorem rationem habebunt. Et proinde facilius moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7393 bunt pondus mouendum, vt ante $&aelig;pius e$t declaratum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7394 Quare quod percu$sione, vel ictu pondus aliquod irruens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7395 in nucem feci$$et, id vectes compre&szlig;i certius faciunt. S&aelig;p&egrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7396 enim ictum ob $ui rot&utilde;ditatem nux eludit. Nam cum nux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7397 $it rotunda, in$i$tat autem plano attingens ip$am 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
7398 &amp; &agrave; plano mallei in puncto attingatur, facile elabitur, 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
7399 ictus</I> <G>xa<+>) i)/cin</G> <I>incidat in rectam, qu&aelig; coniungit h&aelig;c duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7400 puncta.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7401 <P><I>Itaque nucifrangibulum nucem facile $ine ictu franget.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7402 <P>Quant&ograve; igitur.] <I>Repetitio e$t eiu$dem $uperflua.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7403 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7404 <P>24. Cur in Rhombo alter&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7405 p&utilde;ctorum extremorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7406 non &aelig;qualem rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7407 tran$it.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7408 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7409 <P>Cur amborum extremo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7410 rum p&utilde;ctorum duabus la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7411 tionibus in rhombo lato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7412 rum, alterum non tran$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7413 &aelig;qualem rectam. $ed alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7414 <foot>V iij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7415 <p n=>158</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7416 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7417 <marg>Quidam le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7418 gunt <G>lo/gw</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7419 pro <G>ta/xei.</G></marg>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7420 rum plus. Idem e$t $ermo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7421 quare motum $uper latere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7422 minorem tran$it rect&atilde;: qu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7423 latus. Illud enim minorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7424 diametrum: hoc ver&ograve; latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7425 mai', licet &amp; hoc vna: illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7426 ver&ograve; duabus feratur latio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7427 nibus. Feratur enim $uper <G>a
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casties
parents:
diff changeset
7428 b</G> punct&utilde; quid&etilde; <G>a</G> ver$us <G>b,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7429 &amp; <G>b</G> ver$us <G>a</G> ead&etilde; celerita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7430 te: feratur eti&atilde; latus <G>a b</G> $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7431 per <G>a g</G> parallelum ip$i <G>g d</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7432 ead&etilde; celeritate c&utilde; his pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7433 ctis. Nece$$e igitur p&utilde;ctum
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casties
parents:
diff changeset
7434 quid&etilde; <G>a</G> per diametr&utilde; <G>a d</G>
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casties
parents:
diff changeset
7435 ferri: <G>b</G> vero per <G><+> g,</G> &amp; $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7436 mul vtranque pertran$ii$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7437 T&utilde; &amp; latus <G>a b</G> ip$um <G>a g.</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7438 Latum quid&etilde; $it p&utilde;ctum <G>a</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7439 per line&atilde; <G>a e,</G> &amp; <G>a b</G> per <G>a z,</G>
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casties
parents:
diff changeset
7440 &amp; $it deducta <G>z h</G> parallela
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diff changeset
7441 ip$i <G>a b,</G> &amp; per punct&utilde; <G>e</G> c&otilde;-
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7442 pleatur. Simile igitur fi<I>t</I> c&otilde;-
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7443 pletum toti parallelogram-
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7444 mo. Igitur &aelig;qualis e$t <G>a z</G>
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diff changeset
7445 ip$i <G>a e: a b</G> vero latus lat&utilde;
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7446 erit per <G>a z.</G> Erit itaque in
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diff changeset
7447 diametro iuxta <G>q,</G> &amp; $emper
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7448 iuxta diametr&utilde; ferri nece$-
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7449 $e e$t. Et $imul atque latus
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diff changeset
7450 <G>a g</G> eti&atilde; punctum <G>a</G> tran$it
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7451 diametr&utilde; <G>a d.</G> Similiter ve-
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diff changeset
7452 r&ograve; demon$trabitur etiam <G>b</G>
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diff changeset
7453 lat&utilde; e$$e per diametr&utilde; <G>b g.</G>
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diff changeset
7454 &AElig;qualis enim e$t linea <G>b e</G>
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7455 ip$i <G>b h.</G> Completum igitur
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diff changeset
7456 <p n=>159</p>
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7457 <+>
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7458 per punctum <G>h</G> intus paral-
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diff changeset
7459 lelogramm&utilde; $imile e$t toti,
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7460 &amp; <G>b</G> erit in diametro iuxta
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7461 contact&utilde; laterum. Et $imul
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diff changeset
7462 atque latus pertran$it latus
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7463 etiam ip$um <G>b,</G> ip$um <G>b g</G>
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diff changeset
7464 diametrum. Simile igitur
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diff changeset
7465 ip$um <G>a</G> ip$am <G>a d</G> mult&ograve;
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diff changeset
7466 maior&etilde; ip$a <G>b g</G> pertran$it,
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diff changeset
7467 &amp; latus mot&utilde; eadem celeri-
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diff changeset
7468 tate minor&etilde; line&atilde; [tran$it.]
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diff changeset
7469 Et latus <G>b d</G> vna lationc
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diff changeset
7470 motum pertran$ijt lineam
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diff changeset
7471 maiorem: quam <G>b g.</G> qu&atilde;t&ograve;
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diff changeset
7472 enim acutior e$t Rhombus,
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diff changeset
7473 diameter quid&etilde; <G>b g</G> fit mi-
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diff changeset
7474 nor, <G>a d</G> vero maior, t&utilde; &amp; la-
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diff changeset
7475 tus <G>a b</G> maius quam <G>b g.</G></P>
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parents:
diff changeset
7476 <head>COMMENTARIVS.</head>
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diff changeset
7477 <P>Cvramborum.] <I>In hoc capite duo continentur problemata,
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diff changeset
7478 eor&utilde;que $olutiones. Prius e$t cur &egrave; duobus p&utilde;ctis in vno Rhom-
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parents:
diff changeset
7479 bi latere extremis eadem motis celeritate duobus $imul motibus, vno
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parents:
diff changeset
7480 per $e; altero ad motum lateris $ui vnum plus $pat&yuml; conficit, nempe id
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diff changeset
7481 quod ab acuto angulo di$cedit, alterum minus, nempe. id quod ab
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diff changeset
7482 obtu$o.</I></P>
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diff changeset
7483 <P>Idem e$t $ermo.] <I>Po$terius e$t cur vnum &ecirc; dictis punctis mo-
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parents:
diff changeset
7484 tum pr&aelig;dictis duobus motibus minus aliquando $pat&yuml; conficiat: qu&atilde;
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diff changeset
7485 latus $uum. Vtrumque problema vt intelligatur $ciendum e$t e def.
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diff changeset
7486 32. lib. 1. Eucl. Rhombum e$$e quadrilaterum &aelig;quilaterum, &amp; mini-
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diff changeset
7487 m&egrave; rectangulum: Et tamen omnes eius angulos &aelig;quales e$$e quatuor
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diff changeset
7488 rectis per coroll. prop. 32. li. 1. Eucl. Cumq; oppo$iti in parallelogr&atilde;mo
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diff changeset
7489 $int &aelig;quales prop. 34. lib. eiu$d&etilde; duo $unt acuti, reliqui obtu$i, vt $it
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diff changeset
7490 Rh&otilde;bus</I> <G>a b d g,</G> <I>cuius anguli oppo$iti</I> <G>a</G> <I>&amp;</I> <G>d</G> <I>$int acuti:</I> <G>b</G> <I>vero</I>
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parents:
diff changeset
7491 <p n=>160</p>
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parents:
diff changeset
7492 <I>&amp;</I> <G>g</G> <I>obtu$i. Coneipiamus ergo</I> <G>a</G> <I>tan-</I>
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parents:
diff changeset
7493 <fig>
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parents:
diff changeset
7494 <I>quam formicam ambulantem proprio
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parents:
diff changeset
7495 motu ver$us</I> <G>b,</G> <I>vt &amp;</I> <G>b</G> <I>proprio iti-
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parents:
diff changeset
7496 dem motu ver$us</I> <G>a.</G> <I>Tum ip$um</I> <G>a b</G>
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diff changeset
7497 <I>latus ver$us</I> <G>g d,</G> <I>eadem etiam celerita-
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parents:
diff changeset
7498 te moueri $eruando paralleli$mum, cum
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diff changeset
7499 ip$o</I> <G>g d</G> <I>quou$que coniungatur ei. Ad
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diff changeset
7500 huius autem mot&utilde; moueri etiam</I> <G>a</G> <I>ver-
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parents:
diff changeset
7501 $us</I> <G>g,</G> <I>&amp;</I> <G>b</G> <I>ver$us</I> <G>d.</G> <I>Sicque</I> <G>a</G> <I>&amp;</I> <G>b</G>
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parents:
diff changeset
7502 <I>mouebuntur duobus motibus, vno per $e:
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parents:
diff changeset
7503 altero per accidens. Et po$ito quod mo-
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parents:
diff changeset
7504 ueantur in Rhombo. Id e$t quod motus
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parents:
diff changeset
7505 illi $int in ratione laterum quibus Rhombus continetur. E$t autem
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parents:
diff changeset
7506 i$ta certa, quia e$t ratio &aelig;qualitatis vt</I> <G>i</G> <I>ad</I> <G>i,</G> <I>&amp; in eadem celerita-
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parents:
diff changeset
7507 te, id e$t eodem tempore, non immerit&ograve; primum problema in medium
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diff changeset
7508 adducitur. quia $i verum $it, cau$am habet minim&egrave; vulgarem.</I></P>
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parents:
diff changeset
7509 <P>Feratur enim.] <I>Prioris problematis veritat&etilde; geometric&egrave; o$ten-
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parents:
diff changeset
7510 dit. Sit enim vt</I> <G>a</G> <I>proce$$erit per $e v$que ad</I> <G>e,</G> <I>&amp;</I> <G>a b</G> <I>v$que ad</I>
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parents:
diff changeset
7511 <G>z</G>: <I>tunc quia motus illi $unt in ratione laterum Rhombi id e$t in ra-
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casties
parents:
diff changeset
7512 tione &aelig;qualitatis</I> <G>a e</G> <I>&amp;</I> <G>a z</G> <I>erunt &aelig;quales. Perficiatur parallelo-
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diff changeset
7513 gramm&utilde; prop. 31. lib. 1. n&etilde;p&egrave;</I> <G>a e q z.</G> <I>Hoc erit $imile toti</I> <G>a b d g.</G>
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diff changeset
7514 <I>prop. 24. lib. 6. Ergo per conu eiu$d&etilde; prop. $unt circa eand&etilde; diametr&utilde;</I>
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diff changeset
7515 <G>a q d,</G> <I>&amp; $ic</I> <G>a</G> <I>duobus motibus motum pr&aelig;dictis delineauit</I> <G>a q</G>
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diff changeset
7516 <I>cum</I> <G>a b</G> <I>peruenit ad</I> <G>z h.</G> <I>proinde &amp;</I> <G>a</G> <I>etiam delineauerit</I> <G>a d</G>
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parents:
diff changeset
7517 <I>cum peruenerit</I> <G>a b</G> <I>ad</I> <G>g d.</G> <I>Simili ratiocinatione conficitur</I> <G>b</G> <I>eo-
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parents:
diff changeset
7518 dem tempore peragra$$e diametrum</I> <G>b g.</G> <I>E$t autem</I> <G>b g</G> <I>minor:
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diff changeset
7519 quam</I> <G>a d</G> <I>quia ba$es $unt duorum triangulorum</I> <G>g a b,</G> <I>&amp;</I> <G>a b d</G>
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diff changeset
7520 <I>bina latera</I> <G>a g, a b</G> <I>binis</I> <G>a b, b d</G> <I>&aelig;qualia habentium. quia $unt
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parents:
diff changeset
7521 latera eiu$dem Rhombi, &amp; angulum</I> <G>a</G> <I>vtpote acutum minorem
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7522 angulo</I> <G>b</G> <I>vtpote obtu$o. Ergo prop. 24. lib. 1. ba$is</I> <G>a d</G> <I>maior e$t
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diff changeset
7523 ba$i</I> <G>b g.</G> <I>Et $ic</I> <G>a</G> <I>ab angulo acuto di$cedens $uis motibus maiorem
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casties
parents:
diff changeset
7524 in Rhombo lineam tran$it, quam</I> <G><+>.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7525 <P>Licet &amp; hoc.] <I>Hoc additur ad augendam $ecundi problematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
7526 difficultatem. Rationi enim con$entaneum videtur, vt motum duo-
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parents:
diff changeset
7527 bus motibus $imul plus $pat&yuml; conficiat: quam quod vno tantum.</I></P>
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casties
parents:
diff changeset
7528 <P>Nece$$e igitur.] <I>Nam parallelogramma qu&aelig; toti &amp; inter $e</I>
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casties
parents:
diff changeset
7529 <foot><I>$unt</I></foot>
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casties
parents:
diff changeset
7530 <p n=>161</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7531 <I>$unt $imilia, $unt circa eandem diametrum. conu prop. 24. lib. 6.</I></P>
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casties
parents:
diff changeset
7532 <P>&AElig;qualis enim e$t.] <I>Quia in ratione &aelig;qualitatis motum e$t</I> <G>b</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7533 <I>ad</I> <G>e</G> <I>&amp;</I> <G>a b</G> <I>ad</I> <G>h.</G></P>
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parents:
diff changeset
7534 <P>Mult&ograve; maiorem.] <I>Quia</I> <G>a d</G> <I>$ubtendit mult&ograve; maiorcm an-
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casties
parents:
diff changeset
7535 gulum, vtpote</I> <G>b</G> <I>obtu$um, &amp; ide&ograve; maiorem recto: quam</I> <G>b g,</G> <I>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
7536 $ubtendit</I> <G>a</G> <I>angulum acutum, &amp; ide&ograve; etiam minorem recto.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7537 <P>Etlatus <G>b d.</G>] <I>Attingit $ecundum problema quod generaliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7538 verum non e$t. In Rhombo enim cuius, qui acutus e$t angulus, maior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7539 e$t dimidio obtu$i, vt in E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7540 <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
7541 <I>F G H: quia F H 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
7542 gulum E maiorem $ubten-
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parents:
diff changeset
7543 dit: quam E H, erit F H
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7544 maior E H prop. 18. lib. 1.
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parents:
diff changeset
7545 Sed verum e$t in certo ca-
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parents:
diff changeset
7546 $u, eo nimirum (licet h&icirc;c
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parents:
diff changeset
7547 non $it expre$$us) in quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7548 Rhombi acutus e$$et 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
7549 nor: quam dimidius 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
7550 $i, vt angulus A Rhombi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7551 A B C D $it minor: quam dimidius obtu$i B, id e$t quam A B 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
7552 Dico latus A C maius e$$e diametro B C per eandem prop. 18.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7553 $ubtendit enim trianguli A B C maiorem angulum. Po$$e autem
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
7554 talem Rhombum con$titui, patet. quia angulus acutus $eruata late-
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parents:
diff changeset
7555 rum quorumuis a$$umptorum longitudine, infinit&egrave; minor fieri 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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diff changeset
7556 prop. 9. lib. 1. Ergo &amp; tandem dabitur minor dimidio obtu$i. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7557 &amp; dimidius recti, qui acutus e$t, e$t eo minor prop. 15. lib. 5. Ergo 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
7558 tali Rhombo latus A B per A C vna latione motum, plus $pat&yuml;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7559 confecit: quam B, quod peragrans B C duabus lationibus ferebatur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7560 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7561 <P>Ab$urdum enim, vt dict&utilde;
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casties
parents:
diff changeset
7562 e$t, quod duab^{9} lationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7563 fertur, tardius nonnunqu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7564 ferri eo, quod vna: &amp; 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
7565 r&utilde; ambor&utilde; punctor&utilde; &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
7566 li celeritate motor&utilde; alter&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7567 maior&etilde; tr&atilde;$ire. Cau$a 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
7568 <foot>X</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7569 <p n=>162</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7570 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7571 e$t, quod amb&aelig; lationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7572 eius, quod ab obtu$o angu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7573 lo fertur fiunt fer&egrave; contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7574 ri&aelig;. H&ecedil;c $cilicet qua 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
7575 fertur, &amp; h&aelig;c qua per latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7576 effertur. Ei ver&ograve; quod ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7577 acuto, contingit ad idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7578 ferri, ob$ecundat enim la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7579 teris latio ei, qu&aelig; e$t $ec&utilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7580 dum diametrum. Et quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7581 t&ograve; hic angulus fuerit acu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7582 tior, ille obtu$ior vna latio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7583 erit tardior: altera velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7584 cior. Lationes enim magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7585 c&otilde;trari&aelig; fiunt propter ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7586 tu$iorem angulum: contra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7587 ver&ograve; h&aelig; magis ad id&etilde; pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7588 pter propinquitat&etilde; linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7589 rum. I p$um enim <G>a</G> ferc ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7590 idem fertur ex vtri$que la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7591 tionibus. Itaq; altera coad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7592 iuuatur. Et qu&atilde;t&ograve; acutior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7593 fuerit angulus: tant&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
7594 gis: ip$um ver&ograve; <G><+></G> ad con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7595 trarium. Ip$um enim ad <G>a</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7596 fertur. Latus ver&ograve; effertur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7597 ver$us ip$um <G>g.</G> Et 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
7598 fuerit angulus obtu$ior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7599 magis contrari&aelig; lationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7600 fiunt. Rectior enim linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7601 fit, quod $i omnin&ograve; recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7602 e$$et, e$$ent lationes omni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7603 n&ograve; contrari&aelig;. Latus vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7604 vno motu motum &agrave; nullo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7605 impeditur. &AElig;quum e$t igitur, vt lineam maiorem tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7606 $eat.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7607 <p n=>163</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7608 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7609 <P>Ab$urdum enim.] <I>Repetitio e$t eius, quod problematis $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7610 di antea iam auxit difficultatem.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7611 <P>Nonnunquam ferri.] <I>Particula</I> <G>en)i/ote</G> <I>nonnunquam indi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7612 cat $ecundum problema tantum verum e$$e $pecialiter non in genere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7613 quod antea e$t demon$tratum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7614 <P>Et datorum amborum.] <I>Auget difficultatem problematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7615 primi. Videbatur enim rationi con$entaneum, vt duo totidem moti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7616 bus mota, &amp; eadem celeritate id e$t &aelig;quali tempore idem $patium
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casties
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diff changeset
7617 conficerent.</I></P>
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diff changeset
7618 <P>Cau$a vero e$t.] <I>Po$tquam problema primum verum e$$e geo-
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parents:
diff changeset
7619 metrice demon$tratum e$t: nunc huius vtpote admirabilis cau$am
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parents:
diff changeset
7620 adfert Phy$icam. quod $cilicet mota duobus motibus, $i ad eundens
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diff changeset
7621 terminum, ad quem tendent, celerius mouentur: $i ad contrarios, tar-
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parents:
diff changeset
7622 dius. Illa enim $ibi inuicem ob$equuntur, &amp; vt clauus clauo pellitur:
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parents:
diff changeset
7623 ita motus motum adiuuat: h&aelig;c ver&ograve; $ibi ob$i$tunt, $e$e impediunt, &amp;
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casties
parents:
diff changeset
7624 remorantur, &amp; vt magis minu$ve contrarij $unt termini ad quos:
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casties
parents:
diff changeset
7625 ita qu&aelig; $ic mouentur, magis minu$ve $e accelerant, aut retardant.
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casties
parents:
diff changeset
7626 Atqui</I> <G><+></G> <I>ab angulo obtu$o motum duorum motuum vno ad</I> <G>a,</G> <I>alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7627 ro ad</I> <G>d</G> <I>tendens ad magis contrarios terminos tendit: quam</I> <G>a</G> <I>ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7628 dens dictis motibus ad</I> <G><+></G> <I>&amp;</I> <G>g.</G> <I>E$t enim, vt antea demon$tratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7629 e$t,</I> <G>a d</G> <I>diameter &amp; recta maior: quam</I> <G>g d.</G> <I>Et qu&ograve;</I> <G>a</G> <I>acutior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7630 erit angulus, e&ograve;</I> <G>a d</G> <I>maior erit ergo &aelig;quum e$t, vt</I> <G><+></G> <I>tardius fera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7631 tur: quam</I> <G>a.</G> <I>Et quidem tant&ograve; tardius: quant&ograve;</I> <G><+></G> <I>erit obtu$ior angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7632 lus, &amp;</I> <G>a</G> <I>acutior ob cau$am pr&aelig;dictam.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7633 <P>Fere ad idem.] <I>Particula</I> <G>sxedo\n</G> <I>fer&egrave; ad-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7634 <fig>
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casties
parents:
diff changeset
7635 <I>iecta indicat non eundem e$$e terminum vtriu$-
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parents:
diff changeset
7636 que motionis, qua fertur</I> <G>a</G> <I>: $ed duos diuer$os, ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7637 rum propiores, quam $int termini ad quos</I> <G><+></G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7638 <I>fertur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7639 <P>Rectior enim linea.] <I>Id e$t duo latera</I> <G><+> a</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
7640 <I>&amp;</I> <G><+> d</G> <I>magis accedunt ad rectam vnam, vtpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7641 te quia angulus obtu$us $i augeatur plu$culum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7642 latera ip$um continentia fient &egrave; directo: &amp; tunc</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7643 <foot>X ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7644 <p n=>164</p>
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casties
parents:
diff changeset
7645 <I>erunt vna omnino recta, quod vbi e$$et, vt cum</I> <G>b a</G> <I>peruenit ad</I> <G>b
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7646 l,</G> <I>tunc lationes</I> <G><+></G> <I>ad</I> <G>l,</G> <I>&amp;</I> <G>b</G> <I>ad</I> <G>d</G> <I>e$$ent ad contrarios omnino
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7647 terminos.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7648 <P>Latus ver&ograve; vno.] <I>Breuiter cau$am attingit $ecundi problema-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7649 tis, quod in motu &agrave; nullo impeditum &aelig;quum e$t celerius moueri: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7650 quod impeditur. Latus autem in dicto Rhombo &agrave; nullo impeditur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7651 contra</I> <G>b</G> <I>impeditur. Ergo</I> <G>l b</G> <I>latus celerius feretur ip$o</I> <G>b.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7652 <P>&AElig;quum e$t igitur.] <I>Id nu$quam in hoc problemate demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7653 $tratum e$t, pote$t etiam fal$um e$$e. C &aelig;terum ex hoc problemate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7654 collige, quod etiam Leonicus annotauit, quantum corporum confor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7655 mationes &amp; figurarum in illis varietas peculiares illorum inclina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7656 tiones, naturale$que motus aut adiuuent, aut contra in $igniter impe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7657 diant. Conglobata etenim exempli gratia plumbi ma$$a, $i natur&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7658 relinquatur $u&aelig;, rect&agrave; citius deor$um fertur: quam $i eadem pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7659 $eruato exten$a fuerit in laminam: imm&ograve; rur$us inflexa &amp; in$tar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7660 carin&aelig; conformata fluitabit in aquis. In rebus etiam artificialibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7661 gladius acuta $ui acie facile $ecat: obtu$a non item. H&aelig;c cum ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7662 $int nemini ab$urdum videri debet, duo puncta duabus motionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7663 &aelig;quali celeritate mota non &aelig;quale pertran$ire $patium: $ed mu$t&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7664 plus maiu$que illorum alterum, vt ex Rhombi natura cert&ograve; demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7665 $tratum e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7666 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7667 <P>25. Cur maior circulus cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7668 minore per &aelig;qualem re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7669 uoluitur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7670 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7671 <P>Dubi&utilde; e$t cur maior cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7672 culus &aelig;qual&etilde; minori circu-
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casties
parents:
diff changeset
7673 lo orbitam volutione pera-
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casties
parents:
diff changeset
7674 gret, qu&atilde;do circa id&etilde; c&etilde;tr&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7675 po$itus e$t: At c&utilde; $eor$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7676 voluuntur, vt hor&utilde; magni-
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casties
parents:
diff changeset
7677 tudines $e hab&etilde;t inter $e, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7678 eti&atilde; eor&utilde; orbit&aelig;. Pr&aelig;terea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7679 vno &amp; eodem exi$t&etilde;te cen-
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casties
parents:
diff changeset
7680 tro, aliqu&atilde;do quidem tan-
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casties
parents:
diff changeset
7681 <p n=>165</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7682 <+>
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casties
parents:
diff changeset
7683 ta fit orbita: quanta e$t ea:
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casties
parents:
diff changeset
7684 quam minor circulus pera-
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casties
parents:
diff changeset
7685 grat: aliquando ver&ograve; quam
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casties
parents:
diff changeset
7686 maior. Quod igitur maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7687 rem peragret maior mani-
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casties
parents:
diff changeset
7688 fe$tum e$t. Angulus enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7689 videtur euid&etilde;ter e$$e peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7690 pheria cuiu$que c&utilde; propria
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casties
parents:
diff changeset
7691 diametro maioris circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7692 maior [minoris minor.] Ita-
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casties
parents:
diff changeset
7693 que orbit&ecedil; eand&etilde; rationem
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casties
parents:
diff changeset
7694 euidenter habebunt inter
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casties
parents:
diff changeset
7695 $e. Attamen quod circa id&etilde;
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casties
parents:
diff changeset
7696 centr&utilde; po$iti &aelig;qualem or-
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casties
parents:
diff changeset
7697 bit&atilde; c&otilde;ficiant etiam mani-
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casties
parents:
diff changeset
7698 fe$t&utilde;. At que ita vt aliquan-
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casties
parents:
diff changeset
7699 do orbita maioris circuli
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casties
parents:
diff changeset
7700 $it &aelig;qualis linea, aliquando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7701 orbita minoris. Sit enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7702 circulus maior quid&etilde; <G>d z g,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7703 minor vero <G>e h b,</G> &amp; vtriu$q;
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casties
parents:
diff changeset
7704 centr&utilde; <G>a.</G> Atque ca quidem
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diff changeset
7705 per quam magnus circulus
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diff changeset
7706 per $e voluitur <G>z l,</G> $it &amp; ea
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7707 per quam per $e minor <G>h k</G>
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diff changeset
7708 &aelig;qualis <G>z l.</G> Si vero moueo
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parents:
diff changeset
7709 minor&etilde;, ip$um c&etilde;trum mo-
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diff changeset
7710 ueo vbi e$t <G>a.</G> Magnus au-
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diff changeset
7711 tem connexus e$to. Quum
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parents:
diff changeset
7712 igitur <G>a b</G> ad rectos fiet li-
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diff changeset
7713 ne&aelig; <G>h k,</G> $imul etiam <G>a g</G>
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diff changeset
7714 ad rectos fiet line&aelig; <G>z l.</G></P>
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diff changeset
7715 <P>Quare per &aelig;qualem erit
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diff changeset
7716 tran$latio, nemp&egrave; <G>h k</G> in
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diff changeset
7717 qua e$t <G>z g.</G> Quod $i quarta
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diff changeset
7718 pars per e/qualem voluitur,
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diff changeset
7719 <foot>X iij</foot>
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diff changeset
7720 <p n=>166</p>
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diff changeset
7721 <+>
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parents:
diff changeset
7722 quod totus circulus &aelig;qua-
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parents:
diff changeset
7723 lem toti circulo reuolua-
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parents:
diff changeset
7724 tur, manife$tum e$t. Itaque
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parents:
diff changeset
7725 quando linea <G>b h</G> peruene-
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diff changeset
7726 rit ad <G>k</G> etiam <G>z g</G> peri-
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parents:
diff changeset
7727 pheria erit in <G>z l</G> &amp; circu-
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diff changeset
7728 lus totus conuolutus. Si-
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diff changeset
7729 militer $i maiorem moue-
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parents:
diff changeset
7730 ro, cui $it annexus minor
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parents:
diff changeset
7731 eod&etilde; centro exi$tente, vna
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diff changeset
7732 cum <G>a g</G> etiam <G>a b</G> perpen-
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parents:
diff changeset
7733 dicularis erit. Illa quidem
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7734 ad <G>z i</G> h&aelig;c ver&ograve; ad <G>h q.</G> Ita-
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parents:
diff changeset
7735 que quando per &aelig;qualem
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diff changeset
7736 ip$i <G>h q</G> vol <G>z i</G> rur$um erit
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parents:
diff changeset
7737 tran$latio etiam <G>a g</G> per-
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diff changeset
7738 pendicularis erit ad <G>z i,</G> &amp;
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parents:
diff changeset
7739 <G>a b</G> ad <G>h q,</G> vt ab initio
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7740 erunt in <G>q, i</G>: atque id nul-
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diff changeset
7741 la intercedente mora 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
7742 ioris ad minorem, qua$i 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
7743 aliquod tempus 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
7744 ip$o puncto moueret. vter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7745 que enim vtroque 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
7746 continu&egrave; mouetur. Neque
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casties
parents:
diff changeset
7747 minore vllum punctum
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parents:
diff changeset
7748 tran$iliente, &amp; maiorem
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parents:
diff changeset
7749 minori &aelig;qualem tran$ire, &amp; minorem maiori ab$urdum.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7750 <head>COMMENTARIVS.</head>
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diff changeset
7751 <P>Dvbium e$t.] <I>Problema quod hoc capite proponitur, omnium
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
7752 qu&aelig; ante propo $ita $unt, &amp; po$tea proponentur forta&szlig;&egrave; e$t $ub-
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
7753 tili&szlig;imum. E$t autem eiu$modi, cur circuli concentrici, &amp; in&aelig;quales
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parents:
diff changeset
7754 iuncti, &aelig;qualem tamen orbitam circumuolutione peragrent. Et 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
7755 d&etilde; hoc euenire duobus modis ponitur. Vno, vt orbita minoris ad&aelig;que-</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
7756 <p n=>167</p>
22d6a63640c6 moved 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 <I>tur orbit&aelig;, quam $eor$um maior conficeret: altero, vt orbita maioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7758 ad&aelig;quetur orbit&aelig;, quam $eor$um minor conficeret.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7759 <P>At cum $eor$im.] <I>Problematis propo$iti difficultas declara-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7760 tur ex orbita, quam $inguli $eor$im voluti faciunt. H&aelig;c enim $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
7761 per &egrave; maiore maior e$t, &egrave; minore minor, &amp; quidem proportione re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7762 $pondens magnitudini peripheriarum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7763 <P>Pr&aelig;terea vno.] <I>Duo modi &aelig;quationis pr&aelig;dicti explicantur 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
7764 habentibus idem centrum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7765 <P>Quod igitur maiorem.] <I>Confirmatio e$t difficultatis allat &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
7766 ex euidentia per $en$um. Si quis enim notato puncto vt A circumuo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7767 lutionis primo, &amp; quidem circulum maiorem &amp; minorem $uper 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
7768 ctam plani circumuoluat, quou$que redierit contactus in eodem pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7769 cto maioris circuli maior recta: minoris minor erit per agrata. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7770 &amp; anguli &egrave; $emidiametris con$tituti (quos angulos circuli vocat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7771 hic Ari$toteles) ba$es qu&aelig; $unt peripheri&aelig;, euidenter in&aelig;quales $unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7772 In maiore circulo maior: in minore minor (Sed &amp; hanc euidentiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7773 ne qua e$$et dubitatio, demon$tratione primo eapite huius libri de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
7774 mon$trauimus.) Erunt igitur &amp; orbit&aelig; in&aelig;quales &amp; proportione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7775 re$pondentes ba$ibus angulorum &egrave; $emidiametris con$titutorum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7776 <P>Attamen quod circa.] <I>Problematis propo $iti veritas demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7777 $tratur figura geometrica in vtroque modo. Nam po$ito quod</I> <G>a h z</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7778 <I>perpendiculariter in$i$tat pla-</I>
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casties
parents:
diff changeset
7779 <fig>
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casties
parents:
diff changeset
7780 <I>no, &amp; ad rectam</I> <G>z i.</G> <I>Tum</I> <G>h q</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
7781 <I>rectos angulos faciat, $icque il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7782 las tangat in punctis</I> <G>h</G> <I>&amp;</I> <G>z,</G>
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casties
parents:
diff changeset
7783 <I>cum quarta pars peripheri&aelig;</I> <G>h b</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7784 <I>orit reuoluta: ita vt</I> <G>a b</G> <I>rur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7785 $us ad rectos $it ad rectam</I> <G>h q,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7786 <I>ip$amque tangat, vt in puncto</I>
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casties
parents:
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7787 <G>k</G>: <I>tunc &amp;</I> <G>a g</G> <I>etiam ad re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7788 ctos erit $uper</I> <G>z i,</G> <I>&amp; $it vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7789 tangat in puncto</I> <G>l.</G> <I>Erunt pro
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casties
parents:
diff changeset
7790 29. prop. lib. 1. Du&aelig;</I> <G>z h</G> <I>&amp;</I> <G>k l</G> <I>parallel&aelig; &amp; &aelig;quales, ex hypoth.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7791 Ergo qu&aelig; eas ad ea$dem partes iungunt rect&aelig;</I> <G>z l</G> <I>&amp;</I> <G>h k</G> <I>erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7792 &aelig;quales, prop 34. eiu$dem. Sunt autem orbit&aelig; ab vtri$que confect&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7793 eadem celeritate motis. Eadem ratiocinatione cum</I> <G>a g</G> <I>tanget in</I>
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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7794 <p n=>168</p>
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casties
parents:
diff changeset
7795 <I>puncto</I> <G>i</G> <I>ex reuolutione maioris, &amp;</I> <G>b</G> <I>tanget in</I> <G>q</G>: <I>$icque</I> <G>q i</G> <I>&amp;</I> <G>h
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7796 z</G> <I>cum $int &aelig;quales &amp; parallel&aelig;, du&aelig; rur$us</I> <G>h q</G> <I>&amp;</I> <G>z i</G> <I>erunt pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7797 rallel&aelig;. Qu&aelig; autem ratio e$t quartarum circulorum inter $e, eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7798 e$t totorum. Partes enim cum pariter multiplicibus eandem ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7799 nem habent prop. 15. lib. 5. Igitur in vtroque modo orbit&aelig; coneen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7800 tricorum in&aelig;qualium $unt &aelig;quales.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7801 <P>Atque id nulla.] <I>Cau$am admirabilis huius aduentus, 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
7802 adferri potui$$et, In prim&ograve; quidem modo ex tarditate &amp; mora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7803 maioris circuli in quibu$dam rect&aelig; line&aelig; punctis, dum minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7804 circulus ip$am peragrat: In $ecundo ver&ograve; modo ex tran$ultu minoris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7805 qua$i exiliat, nec $imul omnia puncta rect&aelig; attingat: $ed tran$iliat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7806 minor, dum maior contra omnia attingat peragrando, re&yuml;cit, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7807 ramque nullam in hoc intercedere, neque tran$ultum in i$to: $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7808 vtriu$que continuas motiones e$$e dicit, quia vnica latio e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7809 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7810 <P>Pr&aelig;terea vnica latione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7811 exi$t&etilde;te centr&utilde; $emper c&otilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7812 tinu&egrave; motum, aliquando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7813 quid&etilde; per maior&etilde;, aliquan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7814 do ver&ograve; per minorem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7815 uolui e$t admirabile. I dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7816 enim eadem celeritate lat&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7817 &aelig;qualem tr&atilde;$ire natum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7818 Eadem aut&etilde; celeritate per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7819 &aelig;qual&etilde; vtro que modo mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7820 uere licet. C&aelig;terum princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7821 pium $umatur ex vtriu$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7822 cau$a, quod eadem vis, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7823 &aelig;qualis vnam quidem ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7824 gnitudin&utilde; tardius: alteram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7825 celerius moueat. Si quid
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7826 enim fuerit non &agrave; $eip$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7827 moueri nat&utilde;, &amp; ips&utilde; aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7828 quod moueri nat&utilde; $it mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7829 uerit, tardius mouebitur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7830 qu&atilde; $i ips&utilde; p $e moueretur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7831 <foot>Et</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7832 <p n=>169</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7833 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7834 Et $i quidem nat&utilde; $it mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7835 ueri, neque aut&etilde; $imul mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7836 ueatur, $imiliter $e habebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7837 Et vt plus moueatur: quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7838 quod mouet, fieri non po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7839 te$t. Non enim $uo ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7840 mouetur motu: $ed mou&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7841 <marg>H&aelig;c inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7842 po$ita vid&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7843 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
7844 tis. [Sit igitur circul^{9} maior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7845 quid&etilde; vbi <G>g,</G> at minor vbi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7846 <+>.] Si impeliat minor maio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7847 r&etilde; ip$o $e minime volu&etilde;te,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7848 manife$tum quod tantam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7849 rect&atilde; maior tran$it, ad qu&atilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7850 tam &agrave; minore impul$us e$t:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7851 ad tantam ver&ograve; impul$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7852 e$t, ad quantam minor $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7853 mouit. Rect&atilde; igitur &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7854 lem pertran$ierunt. Nece$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7855 $e igitur $i minor conuolu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7856 tus impulerit, maior&etilde; con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7857 uolui quidem cum impul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7858 $ione tantum: qu&atilde;tum mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7859 nor conuolutus fuerit. $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7860 neuti qu&atilde; ip$e proprio mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7861 tu moueatur. quomodo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7862 enim &amp; quantum mouit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7863 t&atilde;tundem mot&utilde; e$$e, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7864 ab illo mouebatur, nece$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7865 $um e$t. Sed circulus $olum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7866 $e mouerit circulariter pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7867 dem vnum. Sit enim tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7868 tum quod mot&utilde; e$t. Etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7869 magnus tantundem motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7870 erit. Similiter $i magnus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7871 paru&utilde; mouerit: tant&utilde; paruus, quant&utilde; magnus motus erit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7872 per $e quid&etilde; motus vtrouis modo $eu celeriter: $eu tacd&egrave;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7873 <foot>Y.</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7874 <p n=>170</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7875 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7876 Eadem ver&ograve; celeritate $ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7877 tim per quantam lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7878 natus e$t conuolui maior.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7879 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7880 <P>Pr&aelig;terea vnica.] <I>Cum $it o$ten$a problematis veritas rur$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7881 o$tendit aliquid admir abile contineri. Ratio admirationis $ic erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7882 apertior.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7883 <P><I>Idem eadem celeritate latum &aelig;qualem line&atilde; tran$ire natum 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
7884 Centrum circulorum concentricorum vnum idemque e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7885 <P><I>Ergo &aelig;qualem tran$ire natum e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7886 <P><I>Attamen aliter fit. Nam eadem celeritate latum mod&ograve; maior&etilde;,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7887 mod&ograve; minorem tran$it. Ergo problema admirationis plenum e$t. Syllogi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7888 mi huius propo $itio e$t euidens: a$$umptio po$tea di$tinguetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7889 <P>C&aelig;terum principium.] <I>Vt admiratio tollatur, duo a$$umun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7890 tur &egrave; Phy$icis, qu&aelig; $i diligenter expendantur, $unt vtraque euiden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7891 ter vera. Primum e$t. Si ab vna &amp; eadem vi duo moueantur, quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7892 rum alterum quidem &agrave; $e moueri natum e$t $ecundum motum illum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7893 $ecundum quem &agrave; vi mou&etilde;tis mouetur: alterum ver&ograve; non e$t natum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7894 eo moueri motu, vel natum quidem $it, $ed tum motu non vtatur $uo:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7895 moueantur autem i$ta coniunctim, illud quod ex $e illo motu moueri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7896 natum erat, tardius mouebitur: quam $i per $e moueretur. Exemplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7897 $it plumbum cum vtre a&euml;re pleno annexum, quod euidenter tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7898 de$cendit per aquam: quam $i liberum fui$$et ab vtre, vt $it in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7899 iuncto eadem, atque in libero erat grauitas. Secundum e$t. Motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7900 ab alio non plus moueri pote$t: quam quod ip$um mouet, vt quod non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7901 $uo: $ed motu mouentis moueatur, tum mouens &amp; motum $unt $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7902 mul, vt demon$tratum e$t ab Ari$totele in lib. de Phy$. auditu. Cau$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7903 itaque problematis in hoc continetur, quod &egrave; duobus circulis eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7904 celeritate motis alter primo mouetur, &amp; alter prior is moti raptum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7905 $equitur. Itaque $i minoris raptum $equatur maior, orbita maioris fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7906 &aelig;qualis orbit&aelig; minoris, cum maior in motu non vi vtatur $ua, $ed ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7907 motum minoris moueatur: $i vero maioris raptum minor $equatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7908 orbita minoris fiet &aelig;qualis orbit&aelig; maioris, cum minor e&ograve; feratur qu&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7909 etiam maior ip$um rapit. Et $ic celerius per maiu$que $parium, quam</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7910 <p n=>171</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7911 <I>qu&ograve;d ferretur per $e. Tamen propter annexionem duo illi tardius vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7912 celerius mouentur: quam per $e mouerentur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7913 <P>Nece$$e igitur $i.] <I>Quod maiore</I> <G>z d</G> <I>moto minor</I> <G>h e</G> <I>rapiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7914 in eodem plano duobus concentricis exi$tentibus captu facile 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
7915 Nam maioris peripheria impul$a, vel per axem tracta, ob nutum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7916 midi&aelig; partis perpetuum, de quo ante, conuoluitur potius: quam vno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7917 puncto eodemque $emper tangente planum gli$cat. Cau$a enim motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7918 rot&aelig; $emper e$t in circulo eius maximo: at quod minor vt</I> <G>h e</G> <I>primo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7919 moueatur, &amp; ad eius motum maior, capi mente difficilius paul&ograve;, ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7920 men &amp; capi pote$t, $i imaginemur volutationibus in&aelig;qualium dua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7921 rum rotarum $ic annexarum, vt $upponitur, $upponi duo plana 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
7922 qualiter alta, &amp; ita vt vnum vnam &egrave; rotis, alterum alteram $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
7923 neat, &amp; tunc imaginemur ad minoris motum rot&aelig; maiorem moueri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7924 &amp; rapi.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7925 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7926 <P>Quod etiam dubitatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7927 nem adfert, quia $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7928 pr&aelig;terea faciunt, quando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7929 connexi $unt. Hoc autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7930 e$t, $i alter ab altero mouea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7931 tur, non ea qua natus 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
7932 neque $ua propria motio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7933 ne. Nihil enim intere$t cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7934 cumponere, &amp; annectere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7935 vel adiungere vtr&utilde;libet al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7936 teri. Similiter enim qu&atilde;do
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7937 hic quid&etilde; mouet: ille 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
7938 ab altero mouetur, quant&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7939 vnus mouerit, tantum alter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7940 mouebitur. quando quid&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7941 igitur adiect&utilde;, vel $u$pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7942 $um mouerit quis, n&otilde; $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7943 per conuoluitur: at qu&atilde;do
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7944 circa idem centrum po$iti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7945 fuerint, $emper nece$$e 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
7946 alter&utilde; ab altero conuolui.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7947 <foot>Y ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7948 <p n=>172</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7949 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7950 Sed perinde ac $i $uo motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7951 alter non moueatur, nul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7952 lum que motum habeat. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7953 $i habeat eo n&otilde; vtatur, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7954 accidit. Quando igitur ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7955 gnus paruum alligat&utilde; mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7956 uerit, hic paruus t&atilde;tundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7957 mouetur. Quando ver&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7958 paruus rur$us: tantundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7959 magnus. Separatim 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
7960 vterque $eip$um mouet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7961 Quod ver&ograve; eod&etilde; exi$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7962 centro, &amp; moto eadem ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7963 leritate c&otilde;tingit ip$os ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7964 iorem tr&atilde;$ilire lineam, pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7965 ralogi$mus e$t &agrave; dubitante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7966 dolos&egrave; prolatus. Idem qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7967 dem e$t centrum vtri$que:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7968 $ed per accidens vt mu$ic&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7969 &amp; album e$$e. Quod enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7970 e$$et de e$$entia vtriu$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7971 centri circulorum, non eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7972 dem vtitur: $ed qu&atilde;do par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7973 uus mouebit illius e$t, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7974 centr&utilde; &amp; principi&utilde;: quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7975 do ver&ograve; magnus, vt ip$ius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7976 Non igitur idem mouet $impliciter: $ed quodammodo.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7977 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7978 <P>Qvod etiam dubit.] <I>Antea de circulis ad vnum centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7979 connexis dem&otilde;$tratum e$t: perinde etiam in in&aelig;qualibus ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7980 wer$a puncta connexis $e habere o$tenditur, ni$i mend&utilde; $ub$it aliquod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
7981 in contextu &egrave; quo particulam</I> <G>ou)k</G> <I>expunximus. Nam &amp; eccentrici
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diff changeset
7982 connexi raptum motoris primi $equuntur, &amp; $emper orbitarum
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diff changeset
7983 &aelig;qualitas reperietur $eu centra $int in eadem linea: $iue in diuer$is,</I>
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diff changeset
7984 <p n=>173</p>
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diff changeset
7985 <fig>
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diff changeset
7986 <I>vtin A, B,
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diff changeset
7987 C, vbi line&aelig;
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7988 pro <*>rbitis
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diff changeset
7989 in&aelig;qualium
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diff changeset
7990 circulor&utilde;, $ed
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diff changeset
7991 annexor&utilde; D
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diff changeset
7992 E, FG, HI
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diff changeset
7993 $unt &aelig;quales
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diff changeset
7994 vt facile e$t
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diff changeset
7995 demon$trare
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diff changeset
7996 ex ad$cripto
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diff changeset
7997 diagrammate.</I></P>
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diff changeset
7998 <P>Quod vero eodem.] <I>Re$pondet a$$umptioni pr&aelig;cedentis $yllo-
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diff changeset
7999 gi$mi, in quo concludebatur ratio admirationis problematis. Negat-
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diff changeset
8000 que idem etiam concentricorum circulorum ita vt dictum e$t moto-
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diff changeset
8001 rum, c&etilde;trum e$$e, ni$i captiose. Huius enim centr&utilde;, e$t quod primum
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diff changeset
8002 mouetur, non huius quod $ecundario. Huius enim centrum feriatur:
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diff changeset
8003 illius ver&ograve; c&utilde; $it principi&utilde; motus, agit, $eu in actu e$t. Et $ic non vn&utilde;
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diff changeset
8004 idemq; centrum vtriu$q; e$t, cum alter&utilde; moueat, alterum moueatur.
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diff changeset
8005 H&aelig;c tamen $olutio qu&aelig; $it, relinquo cogitandum. quomodo enim $i
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diff changeset
8006 principi&utilde; motus concentricor&utilde; circulor&utilde; $it ab axe, vt in mola mole-
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diff changeset
8007 trin&aelig;, &amp; vn&utilde; idemq; centr&utilde; cum $it, puta, mol&aelig; minoris in maiore
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parents:
diff changeset
8008 de$cript&aelig;, non id&etilde; eodem t&etilde;pore ab eod&etilde; erit in actu &amp; principi&utilde;, $ui
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diff changeset
8009 mot^{9} habebit. Aliter igitur ver&egrave; $olueretur, $i intelligamus aliud e$$e
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parents:
diff changeset
8010 mot&utilde; circular&etilde;: aliud mot&utilde; in circulo vel per circulum. Motus enim
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
8011 circularis fit c&etilde;tro quie$cente, &amp; reliquis omnibus motis, talis e$t mo-
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diff changeset
8012 tus &aelig;quatoris in c&aelig;lo. Motus ver&ograve; per circul&utilde; fit progrediente centro,
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diff changeset
8013 &amp; huic accedit vt circ&utilde;uertatur, alioqui nihil aliud e$$et qu&atilde; circu-
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diff changeset
8014 lus progrediens, &amp; vectio qu&aelig;d&atilde;, vt h&aelig;c qua</I> <G>a</G> <I>centr&utilde; perpetu&ograve; per</I>
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diff changeset
8015 <marg>Vide penul
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parents:
diff changeset
8016 timum dia
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parents:
diff changeset
8017 gramma.</marg>
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diff changeset
8018 <I>&aelig;quidi$tantem line&atilde; fertur in</I> <G>g,</G> <I>$eu trahatur $eu impellatur, &amp; ideo
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diff changeset
8019 omnia puncta &aelig;qualiter mou&etilde;tur, &amp; per &aelig;quale $pati&utilde; perinde ac $i
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diff changeset
8020 motus hic mer&egrave; rectus e$$et, &amp; $ine vlla circumuer$ione qua$i fune
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parents:
diff changeset
8021 circulus traheretur. C&aelig;terum cum t&atilde;</I> <G>z g d,</G> <I>qu&atilde;</I> <G>h b e</G> <I>moueantur $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
8022 per rectas</I> <G>zl, h q</G> <I>&amp; quidem ita vt $ingula puncta</I> <G>z g d</G> <I>tangant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8023 $ingula puncta</I> <G>z l</G><I>: t&utilde;</I> <G>h b e</G> <I>$ingula puncta ip$ius</I> <G>h q.</G> <I>Tamen peri-
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parents:
diff changeset
8024 pheria</I> <G>z g d,</G> <I>aut n&otilde; e$t &aelig;qualis rect&aelig;</I> <G>z l</G><I>: aut peripheria</I> <G>z b e</G> <I>n&otilde; e$t</I>
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parents:
diff changeset
8025 <foot>Y iij</foot>
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parents:
diff changeset
8026 <p n=>174</p>
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parents:
diff changeset
8027 <I>&aelig;qualis rect&aelig;</I> <G>h q</G>: <I>alioqui $i</I>
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parents:
diff changeset
8028 <fig>
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parents:
diff changeset
8029 <I>amb&aelig; peripheri&aelig; ambabus re-
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parents:
diff changeset
8030 ctis e$$ent &aelig;quales, cum ip$&aelig;
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parents:
diff changeset
8031 $int &aelig;quales rect&aelig;, vt demon-
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casties
parents:
diff changeset
8032 $tratume$t, e$$ent &amp; periphe-
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parents:
diff changeset
8033 ri&aelig; &aelig;quales, maior minori, quod
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parents:
diff changeset
8034 ab$urdum. Ex quo exploditur
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casties
parents:
diff changeset
8035 ratio Bouilli, qui ex circ&utilde;uolu-
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casties
parents:
diff changeset
8036 tione circuli exact&egrave; rotundi $u-
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parents:
diff changeset
8037 per plano ad libellam facto pu-
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parents:
diff changeset
8038 tabat inueni$$e rectam periphe-
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parents:
diff changeset
8039 ri&aelig; &aelig;qualem. Qu&aelig;ritur ergo quod e$t $uperiori problemate diffici-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8040 lius, vt fieri po&szlig;it rectarum &aelig;qualium peragratio &agrave; circulis 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
8041 libus. Sit igitur. vt rot&aelig; axis</I> <G>a</G> <I>tran$eat in F. Et quia</I> <G>a h</G> <I>&amp; F G</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
8042 <fig>
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casties
parents:
diff changeset
8043 <I>&aelig;quales $unt. Radij enim $unt eiu$dem circuli minoris &amp;</I> <G>h</G> <I>G e$t
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parents:
diff changeset
8044 &aelig;quidi$tans</I> <G>a</G> <I>F. Erit per demon$trata punctum G in linea F H.
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casties
parents:
diff changeset
8045 Et ponatur quod punctum fuerit M in maiori circulo, quod tran$la-
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casties
parents:
diff changeset
8046 tum &amp; retr&ograve; reuolutum peruenerit ad H, atque</I> <G>a</G> <I>M $ecet circulum
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casties
parents:
diff changeset
8047 minorem</I> <G>h</G> <I>F</I> <G>e,</G> <I>vt in puncto I. Dico quod I e$t punctum G. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8048 quia M e$t H, &amp; in linea F H: pr&aelig;terea I e$t in linea</I> <G>a</G> <I>M,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8049 erit etiam in linea F H. E$t etiam in circulo</I> <G>h</G> <I>F</I> <G>e.</G> <I>Ergo in puncto
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casties
parents:
diff changeset
8050 communi vtrique. Nullum autem e$t pr&aelig;ter G. Igitur I peruenit</I>
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casties
parents:
diff changeset
8051 <p n=>175</p>
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casties
parents:
diff changeset
8052 <I>in G. Sicque M retroce&szlig;it per angulum M G H. Contr&agrave; I an-
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parents:
diff changeset
8053 tece&szlig;it per angulum I G F, qui $unt anguli &aelig;quales prop. 15. lib. 1.
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casties
parents:
diff changeset
8054 Et $ic patet cur retrocedente vno tantum: quantum procedit alter,
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parents:
diff changeset
8055 moueantur &aelig;qualiter, id e$t per &aelig;quale $patium puncta peripheria-
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casties
parents:
diff changeset
8056 rum in&aelig;qualium ob centri communis &aelig;qualem motum. H&aelig;c ex
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casties
parents:
diff changeset
8057 Cardan. prop. 196. lib. 5. de proport.</I></P>
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parents:
diff changeset
8058 <P><+></P>
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casties
parents:
diff changeset
8059 <P>26. De lectis.</P>
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parents:
diff changeset
8060 <P><+></P>
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casties
parents:
diff changeset
8061 <P>Cur lectos lateribus du-
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casties
parents:
diff changeset
8062 plos faciunt, vno quidem
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casties
parents:
diff changeset
8063 $ex pedum, vel paul&ograve; plus:
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casties
parents:
diff changeset
8064 altero ver&ograve; trium. Et cur
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casties
parents:
diff changeset
8065 extendunt non $ecundum
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casties
parents:
diff changeset
8066 diametrum. An magnitu-
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casties
parents:
diff changeset
8067 dine tantos faciunt, vt cor-
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casties
parents:
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8068 poribus corre$pondeant.
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casties
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diff changeset
8069 Sic enim lateribus dupli
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diff changeset
8070 efficiuntur, vt longitudine
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diff changeset
8071 quatuor cubitorum, latitu-
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diff changeset
8072 dine ver&ograve; duorum $int.</P>
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casties
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diff changeset
8073 <head>COMMENTARIVS.</head>
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diff changeset
8074 <P>Cvr lectos.] <I>In hoc capite qu&aelig;runtur duo, quibus apert&egrave; $atis-
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diff changeset
8075 facit philo$ophus, quod ad primas qu&aelig;$tionum rationes attinet.
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diff changeset
8076 Ex his prior e$t, cur lectus fiat &egrave; lateribus in ratione dupla, cuiu$mo-
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parents:
diff changeset
8077 di $unt $ex pedes ad tres, vel quatuor cubiti ad duos. vbi notandum
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diff changeset
8078 lectos habere formam parallelogrammi rectanguli. Itaque ex def. 1.
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diff changeset
8079 lib. 2. contineri $ub duobus lateribus, qu&aelig; rectum angulum compre-
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diff changeset
8080 hendunt. Et h&aelig;c $unt qu&aelig; h&icirc;c con$ider&atilde;tur in ratione dupla. Re$pon-
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diff changeset
8081 det igitur $ic fieri, vt corpori decubituro corre$pondeat, &amp; rationem
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parents:
diff changeset
8082 habeat vel &aelig;qualitatis, vel paulo maioris. Sic enim melius excipit in
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diff changeset
8083 eo decumb&etilde;s corpus. E$t autem iu$ta hominis magnitudo $ex pedum:
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parents:
diff changeset
8084 quam vt pauci excedunt: ita quamplurimi non attingunt. Acce-
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diff changeset
8085 dunt tamen ad eam multi. Sicque plurimis opportuna qu&aelig; $ita e$t</I>
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casties
parents:
diff changeset
8086 <p n=>176</p>
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casties
parents:
diff changeset
8087 <I>lecti magnitudo, quod ad longitudin&etilde; attinet: $ed nec minus quod ad
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parents:
diff changeset
8088 latitudinem. Seuenim $upinus, aut pronus, quod e$t in$alubre, n&otilde; plus
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casties
parents:
diff changeset
8089 loci quam cubitus vnus occupabit: &amp; adhuc paul&ograve; minus, $eu 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
8090 dextrum aut $ini$trum latus decumbat homo, cuiu$modi plurimos</I>
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casties
parents:
diff changeset
8091 <marg>Inprogno$t.</marg>
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parents:
diff changeset
8092 <I>$anos cubare dixit Hippocrates, collo etiam manibus cruribu$que pa-
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parents:
diff changeset
8093 rum reductis, &amp; totis corporibus humentes, id e$t, vt explicat Gale-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8094 nus vitatis extremis figuris. Extrem&aelig; autem figur&aelig; $unt, qu&aelig; $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
8095 mam exten$ionem, aut $lexum habent $iu&egrave; artuum $int, $iu&egrave; $pin&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
8096 &amp; fiunt neruis $upra modum extentis: non item qu&aelig; inter ex-
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parents:
diff changeset
8097 tremas media e$t, h&aelig;c enim ten$ionem n&otilde; habet. Ideo humida appel-
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parents:
diff changeset
8098 lata e$t ab Hippocrate, cum humida corpora tendi non $oleant. Sic
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casties
parents:
diff changeset
8099 autem iacens tantum hinc quantum illinc ad reuolutionem corporis
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parents:
diff changeset
8100 $emicubitum, quod $atis e$t, habebit. Nec enim de his agimus, quibus</I></P>
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casties
parents:
diff changeset
8101 <P>Pinguis aqualiculus extento $e$quipede extat.</P>
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parents:
diff changeset
8102 <P><I>Sed de moderatis hominibus, quibus h&aelig;c lecti latitudo conueniens
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casties
parents:
diff changeset
8103 erit. Hinc $i duo in eodem lecto iacere debeant, latitudinem pro ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8104 tione tantum augendam, non longitudinem lecti con$tat.</I></P>
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parents:
diff changeset
8105 <P><+></P>
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casties
parents:
diff changeset
8106 <P>Non extendunt aut&etilde; $e-
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parents:
diff changeset
8107 cundum diamerrum: $ed
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parents:
diff changeset
8108 contr&agrave;, vt ligna minus di-
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parents:
diff changeset
8109 uellantur. celerrim&egrave; enim
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parents:
diff changeset
8110 finduntur $ecundum natu-
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parents:
diff changeset
8111 ram diui$a, &amp; eadem parte
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parents:
diff changeset
8112 di$tracta laborant maxim&egrave;.
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parents:
diff changeset
8113 Pr&aelig;terea quoniam conue-
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parents:
diff changeset
8114 nit funes $atis e$$e ad pon-
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parents:
diff changeset
8115 dus: $i tran$uer$i $int ex im-
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parents:
diff changeset
8116 po$ito pondere minus la-
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parents:
diff changeset
8117 borabunt: quam $i obliqui.
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casties
parents:
diff changeset
8118 Pr&aelig;terea eti&atilde; funium qu&atilde;-
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parents:
diff changeset
8119 titas: $ic minor erit.</P>
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parents:
diff changeset
8120 <head>COMMENTARIVS.</head>
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parents:
diff changeset
8121 <P>Non extendunt.] <I>Po$terior qu&aelig;$tio e$t, cur lectus cuius late-
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parents:
diff changeset
8122 ra $unt in ratione dupla pertendatur loris non $ecundum dia-</I>
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parents:
diff changeset
8123 <foot><I>metrum:</I></foot>
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casties
parents:
diff changeset
8124 <p n=>177</p>
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casties
parents:
diff changeset
8125 <I>metrum: $ed in obliquum proten$is, ad quam tripliciter re$pondet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8126 Primo quia $tudendum e$t durationi, ideo cauendum, ne $pond&aelig; lecti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8127 findantur: aut rumpantur. Itaque eo modo lora $unt extendenda,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8128 quo ruptioni fi&szlig;ioniue minus ip$&aelig; obnoxi&aelig; fiunt. At $i obliqu&egrave; ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8129 tendantur, minus erunt: quam $i $ecundum diametrum. I uxta ed qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8130 demon$trata $unt cap. 15. lib. huius. Namque vt recta percu&szlig;io ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8131 medium ligni oblongi facta facile ip$um frangit: $ic tractio firma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8132 &egrave; directo &agrave; medio. E$t enim tractio percu$sionis $pecies, vel princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8133 pium. Et celerrim&egrave; rumpuntur, $i $ecundum naturam, id e$t eam op-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8134 portunitatem rumpantur. Non ergo lora $ecundum diametrum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8135 tendi debent: verum obliquitus.</I></P>
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parents:
diff changeset
8136 <P>Pr&aelig;terea quoniam.] <I>Secunda e$tratio. Lora eo potius exten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8137 denda modo, quo commodius onus decumbentis hominis etiam $e$e
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casties
parents:
diff changeset
8138 reuoluentis ferre &amp; $u$tinere valent, &amp; quam minim&ugrave;m &agrave; $ua ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8139 ten$ione relaxari.</I></P>
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casties
parents:
diff changeset
8140 <P><I>Exten$a obliquitus h&aelig;c pr&aelig;$tant propter &aelig;qualitatem, per quam
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casties
parents:
diff changeset
8141 non e$t, cur vnum plus, vel citius relaxetur: quam aliud. Et quod
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casties
parents:
diff changeset
8142 in ea parte lecti $e$e implicent vires $uas iungentia, in medio $cili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8143 cet, vbi etiam onus corporis grauius e$t, nempe truncus corporis
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casties
parents:
diff changeset
8144 vna cum natibus: non autem ita in extremis, vbi caput &amp; pedes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8145 leuiora accubant. H&aelig;c vero non perinde pr&aelig;$tant exten$a $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8146 dum diametrum, hoc enim quod l&otilde;gius e$t breuiori citius relaxa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8147 tur, &amp; $ic ferendo, $u$tinendo ve oneri relinquit imbecillius.</I></P>
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casties
parents:
diff changeset
8148 <P>Pr&aelig;terea etiam.] <I>Tertia ratio. Lororum quantitas obliquitus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8149 extentorum minor e$t: quam $ecundum diametrum. Vt autem $int
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casties
parents:
diff changeset
8150 parui pretij, ab$tinendum tamen &agrave; $uperfluis. fru$tr&agrave; enim fit per plu-
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casties
parents:
diff changeset
8151 ra, quod fieri pote$t per pauciora.</I></P>
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casties
parents:
diff changeset
8152 <P><+></P>
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casties
parents:
diff changeset
8153 <P>Sit lectus <G>a z h i,</G> &amp; <G>z h</G>
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casties
parents:
diff changeset
8154 bifariam diuidatur, vt in <G><+>.</G>
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casties
parents:
diff changeset
8155 &AElig;qualia itaque $unt fora-
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casties
parents:
diff changeset
8156 mina, tum in <G>z <+>,</G> tum in <G>z
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casties
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diff changeset
8157 a.</G> &AElig;qualia enim $unt la-
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diff changeset
8158 tera. Nam totum <G>z h</G> du-
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diff changeset
8159 plum e$t [<G>za.</G>] Extendunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
8160 ver&ograve; vt $criptum e$t 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
8161 <foot>Z</foot>
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casties
parents:
diff changeset
8162 <p n=>178</p>
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casties
parents:
diff changeset
8163 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8164 <G>a</G> ad <G>b</G>: deinde vbi e$t <G>g</G>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8165 po$tea vbi <G>d,</G> po$tea vbi <G>q,</G>
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parents:
diff changeset
8166 deinceps vbi <G>e,</G> &amp; $ic $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8167 per quou$que ad alium c&otilde;-
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parents:
diff changeset
8168 uerterint angulum. Duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8169 etenim anguli habent fu-
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parents:
diff changeset
8170 nis principia. Sunt ver&ograve; fu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8171 nes iuxta curuaturas &aelig;qua-
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casties
parents:
diff changeset
8172 les, nempe <G>a b</G> &amp; <G><+> g</G> ip$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
8173 <G>g d</G> &amp; <G>d q.</G> Et alij $unt eiu$-
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parents:
diff changeset
8174 modi, quod eadem $it de-
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casties
parents:
diff changeset
8175 mon$tratio. Etenim <G>a b</G> &aelig;-
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parents:
diff changeset
8176 qualis e$t ip$i <G>e q.</G> S&utilde;t enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8177 &aelig;qualia latera parallelo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8178 grammi <G><+> h k a,</G> &amp; forami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8179 na &aelig;quedi$tant: &AElig;qualis
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casties
parents:
diff changeset
8180 vero e$t <G>b h</G> ip$i <G>k a.</G> Nam
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casties
parents:
diff changeset
8181 angulus <G>b</G> &aelig;qualis ip$i <G>h.</G> In
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casties
parents:
diff changeset
8182 parallelis enim hic quid&etilde;
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casties
parents:
diff changeset
8183 interior e$t, ille externus, &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8184 <G>b</G> e$t $emirectus. E$t enim <G>z
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8185 b</G> &aelig;qualis ip$i <G>z a,</G> &amp; angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8186 lus qui ad <G>z</G> rectus, &amp; angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8187 lus <G>b</G> &aelig;qualis ei qui ad <G>h.</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8188 Nam qui ad <G>z</G> rectus. quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8189 niam lateribus duplum al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8190 terolongum, &amp; ad medium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8191 curuatum e$t. Itaque <G>a d</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8192 &aelig;qualis ip$i <G>e h,</G> huic ver&ograve;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8193 ip$a <G>k q</G> parallela. itaque <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
8194 g</G> &aelig;qualis e$t ip$i <G>k q,</G> &amp; <G>g 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
8195 ip$i <G>d q.</G> Similiter &amp; ali&ecedil; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8196 m&otilde;$tr&atilde;tur, quod $int &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8197 les in curuaturis du&aelig; dua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8198 bus. Itaque clarum e$t quod tanti $unt in lecto funes:
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casties
parents:
diff changeset
8199 quanta e$t <G>a b</G> quater. Quanta e$t autem multltudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8200 <p n=>179</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8201 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8202 foraminum in latere <G>zh,</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8203 etiam in dimidio quod e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8204 <G>z b</G> dimidi&utilde; e$t. Quare in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8205 dimidio lecti, t&atilde;ta erit ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8206 gnitudo funium: quantum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8207 e$t <G>a b.</G> Multitudine vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8208 tot: quot $unt in <G>b h</G> fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8209 mina. Quod perinde e$t ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8210 dicere quot $unt in <G>a z</G> &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8211 <G>b z</G> $imul $umptis. Si vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8212 $ecundum diametrum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8213 tend&atilde;tur funes, vt in lecto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8214 <G>a b g d</G> $ehabent, dimidia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8215 $unt, non tot: quot latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8216 vtrorum que <G>a z, z h.</G> &aelig;qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8217 lia vero foramina in$unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8218 quot in <G>z b, z a,</G> du&aelig; vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8219 cum $int <G>a z, b z,</G> maiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8220 $unt ip$a <G>a b.</G> Itaque funis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8221 tanto maior: quanto ambo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8222 latera maiora $unt diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8223 tro.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8224 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8225 <P>Sit lectus <G>a z h i.</G>] <I>In tertia ratione $ecund&aelig; qu&aelig;$tionis expli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8226 canda reliquus Ari$totelis contextus totus e$t: $ed adeo mendo$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8227 &amp; in verbis, &amp; in diagrammatis, &amp; in diagrammatum characte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8228 ribus, vt $i Iuppiter cum &AElig;$culapio mederi, &amp; mendas eluere ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8229 lit, non po&szlig;it tamen: ide&ograve; $atius e$t cum $it nota philo$ophi $enten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8230 tia, totum adimere, &amp; alium $upplere. Ob$curitas ex tam corru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8231 pto contextumanans fecit, vt nonnulli interpretes Cardano non $a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8232 tisfecerint, qui negotium numeris ab$oluunt, cum tamen demon$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8233 tionem geometricam in$tituerint, neque in figuris lectorum a$$um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8234 ptis, &amp; in contextu ne$cio &agrave; quibus po$itis, eundem numerum linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8235 rum retineant. Sed in vna octo, in altera decem, non debuerit</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8236 <foot>Z ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8237 <p n=>180</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8238 <I>idem numerus vbique e$$e: $i quidem magnum quid $it &amp; demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8239 $tratu dignum, minus lororum in vna exten$ione expendi: quam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8240 altera: qui deniq; in vtraque figura obliquas hab&etilde;t lineas, quanquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8241 alias al&yuml;s obliquiores: &amp; tamen du&aelig; antehac rationes videntur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8242 vna figura po$tulare obliquas, in altera rectas. Nos igitur aliter Car-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8243 dani ve$tigia ob$cura, &amp; ni fallor imperfecta, vt $unt pleraq; huius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8244 hominis fer&egrave; omnia vt arbitror, quanqu&atilde; $emper ingenios&egrave; $criben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8245 tis, $ecuti, apertius &amp; perfectius totum hoc negoti&utilde; euoluemus. At-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8246 que in primis dicimus extendi lora $ecundum diametrum, non e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8247 ab angulo ad angulum oppo$itum: $ed $ecundum rectas, qu&aelig; &agrave; latere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8248 ad latus oppo$itum extenduntur, vt $int ali&aelig; $ecundum longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8249 nem, ali&aelig; $ecundum latitudinem. Sic enim diameter non</I> <G><+> gw/nios</G>
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8250 <I>$umi videtur: qua$i dimetiens, vt qu&aelig; dimetiatur longitudinem vel
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diff changeset
8251 latitudinem, &aelig;qualis videlicet facta, quo modo licet h&icirc;c ab Ari$to-
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8252 tele reiecto, hodie adhuc vtuntur. Atque hoc modo $i non intelliga-
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8253 tur diameter: $ed</I> <G><+>a gw/nios,</G> <I>tam obliqu&aelig; erunt in vna forma li-
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8254 ne&aelig;: quam in altera: $icque qu&aelig; de ruptione vel fi&szlig;ione &amp; opportu-
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8255 nitate dicta $unt, h&icirc;c non conuenient, quod e$$et ab$urdum. His igi-
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8256 tur ita po$itis de$cribantur du&aelig; form&aelig; lecti, in quibus $int line&aelig; nu-
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diff changeset
8257 mero pares, $itu diuer$&aelig;. Sit igitur prima A B C D, cuius la-</I>
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8258 <fig>
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8259 <I>tus A B duplum $it lateris A C, &amp; quidem illud 4. pe-
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diff changeset
8260 dum, hoc duorum. In hac lora $ecundum diametrum $int quidem
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diff changeset
8261 $ecundum longitudinem tria K N. L O, M P, &amp; $ic inter $e</I>
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diff changeset
8262 <p n=>181</p>
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8263 <I>&amp; lateri A B &aelig;qualia prop. 34. lib. 1. Sint &amp; totidem G Q,
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diff changeset
8264 E F, H R $ecundum latitudinem exten$a, inter$e quoque, &amp; la-
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diff changeset
8265 teri A C &aelig;qualia per eandem.</I></P>
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8266 <P><I>Sit $ecunda forma</I> <G>a b g d</G> <I>in eadem ratione laterum, &amp; ea-
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8267 dem magnitudine $eruata, &amp; linearum $ed obliquarum &aelig;quali nu-
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diff changeset
8268 mero, qu&aelig; $int</I> <G>a c, h k, e d</G> <I>tum.</I> <G>b c, q i, e g,</G> <I>qu&aelig; quia pa-</I>
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8269 <fig>
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diff changeset
8270 <I>rallel&aelig; $unt, &amp; aduer$&aelig; in $uis parallelogrammis, omnes inter $e
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diff changeset
8271 &aelig;quales $unt prop. 34. lib. 1. Nam po$ito quod</I> <G>a c</G> <I>$it ab angulo</I> <G>a</G>
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diff changeset
8272 <I>ad</I> <G>c</G> <I>medium lateris</I> <G>g d</G><I>: erit h&aelig;c &aelig;qualis ip$i</I> <G>b c,</G> <I>quia latera
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diff changeset
8273 &aelig;qualium quadratorum. V trumque enim &aelig;quale e$t duobus ex</I> <G>a g,
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diff changeset
8274 g c,</G> <I>vel quod idem e$tex</I> <G>c d, d <+></G> <I>prop. 47. lib. 1.</I></P>
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8275 <P><I>Dico ergo quod lorum K N cum G Q, id e$t A C, A B ma-
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diff changeset
8276 ius e$t</I> <G>a c, c b,</G> <I>&amp; duo pariter accepta duobus pariter acceptis e$$e
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8277 maiora: $icque totum lorum in lecto A B C D maius e$$e toto,
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diff changeset
8278 quod e$t in lecto</I> <G>a b g d.</G></P>
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8279 <P><I>Demon$tratio. Quia rectangulum $ub A C, A B comprehen-
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diff changeset
8280 $um duplum e$t quadrati ex A C prop. 1. lib. 6. &amp; rectangulum $ub</I>
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8281 <G>a c, c b</G> <I>duplum it&etilde; e$t quadrati ex A C. Ip$um enim c&utilde; quadratum
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8282 $it. N&atilde;</I> <G>a c</G> <I>&amp;</I> <G>c b</G> <I>$unt &aelig;quales ex fabrica, &aelig;quale e$t prop. 47. lib. 1.
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diff changeset
8283 duobus quadratis ex A C &amp; C F: $ed quod idem e$t ex</I> <G>a g</G> <I>&amp;</I> <G>g c,</G>
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8284 <I>&aelig;qualibus ex hypoth, erit rectangul&utilde; $ub A C, A B comprehen$um
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8285 rectangulo $ub</I> <G>a c, c b</G> <I>comprehen$o. axiom. 6. &amp; per idem rectan-
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diff changeset
8286 gulum bis $ub A C, A B comprehen$um, rectangulo bis $ub</I> <G>a c, c b</G>
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8287 <foot>Z iij</foot>
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8288 <p n=>182</p>
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8289 <I>comprehen$o &aelig;quale: $ed &amp; quadratum ex A B &aelig;quale e$t quadratis
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8290 ex</I> <G>a z, zb</G> <I>prop. 47. lib. 1. E$t enim angulus</I> <G>a z b</G> <I>rectus, cum $it
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8291 reliquus trium</I> <G>a z g, a z b, b z d</G> <I>duobus rectis &aelig;qualium prop. 13.
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8292 lib. 1. $ublatis duobus $emirectis</I> <G>a z g, <+> z d</G> <I>per coroll. prop. 32. lib. 1.
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8293 Erunt igitur quadrata ex A B, A C cum rectangulo bis $ub A C,
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8294 A B comprehen$o maiora quadratis ex</I> <G>a z, z <+></G> <I>cum rectangulo
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8295 bis $ub</I> <G>a z, z b</G> <I>comprehen$o per quantitatem quadrati ex A C:
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8296 $ed quadrata ex A B, A C cum rectangulo bis comprehen$o $ub
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8297 A B, A C $unt potentia line&aelig; C A B vtcunque $ect&aelig; in A, id e$t
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8298 &aelig;qualia $unt quadrato ex C A B prop. 4. lib. 2. &amp; per eandem qua-
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8299 drata ex</I> <G>a z, z <+></G> <I>cum rectangulo bis comprehen$o $ub</I> <G>a z, z b</G> <I>$unt
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8300 potentia line&aelig;</I> <G>a z b</G> <I>vtcunque $ect&aelig; in</I> <G>z.</G> <I>E$t ergo C A B maior
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8301 potentia quam</I> <G>a z b,</G> <I>proinde erit &amp; longitudine maior per coroll.
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8302 &egrave; prop. 47. lib. 1. Similiter demon$trabitur de reliquis. E$t ergo maior
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8303 lororum quantitas in lecto A B C D: quam in lecto</I> <G>a b d g,</G> <I>quod
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8304 erat demon$trandum.</I></P>
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8305 <P><I>His ita geometric&egrave; demon$tratis, nihil nunc obe$t exquirere, qu&aelig;
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8306 $it ex hac forma $ecunda in loris par$imonia. Cum igitur in lecto A
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8307 B C D qu&aelig; tres $unt $ecundum longitudinem exten$&aelig;, &aelig;quales $int
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8308 $ingul&aelig; lateri A C quod e$t $ex pedum: $imul $umpt&aelig; erunt 18. pe-
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8309 dum: &amp; reliqu&aelig; $ecundum latitudinem $ingul&aelig; ip$i A C &aelig;quales,
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8310 faciunt 9. pedes, ideo omnes $unt 27. pedes lororum. In lecto vero</I>
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8311 <G>a <+> g d</G> <I>cum omnes &aelig;quales line&aelig; $int ip$i</I> <G>a z,</G> <I>&amp; $it ex</I> <G>a z</G> <I>qua-
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8312 dratum &aelig;quale quadratis ex</I> <G>a g, &amp; g z</G> <I>id e$t 9. &amp; 9. Erit igitur
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8313 18. quadratum ex</I> <G>a z,</G> <I>cuius radix quadrata fer&egrave; e$t 4 2/9, qu&aelig; per 6.
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8314 multiplicata facit 25 1/3 qui numerus $uperatur &agrave; 27. per 1 2/3. Atque
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8315 hoc in loris compendium e$t, quod licet exiguum, non contemnen-
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8316 dum tamen.</I></P>
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8317 <P>Et $ic $emper.] <I>Videtur Ari$toteles volui$$e in vno lecto fu-
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8318 nem vnum e$$e continuum, &amp; per parallelogramma di$pergi atque
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8319 extendi.</I></P>
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8320 <P>Iuxta curuaturas.] <G>ka/myis</G> <I>curuatura re$tium vocatur ea
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8321 pars qu&aelig; &agrave; foramine ad foramen ip$is extrin$ecus applicatur $pon-
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8322 dis, parallelogrammorumque &agrave; re$tibus $eu loris effectorum minora
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8323 efficiunt latera.</I></P>
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8324 <P>Sunt enim &aelig;qualia latera.] <I>Deinceps ad finem corrupti&szlig;i-</I>
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8325 <p n=>183</p>
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8326 <I>ma fer&egrave; $unt omnia.</I></P>
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8327 <P>Angulus qui ad <G>z</G> rectus.] <I>Angulus qui ad</I> <G>z</G> <I>continetur &agrave;
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8328 lateribus</I> <G>z h, z a</G> <I>rectanguli lecti, itaque rectus e$t.</I></P>
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8329 <P>Angulus <G>b</G>] <I>Id e$t angulus</I> <G>z b a</G> <I>&aelig;qualis e$t angulo</I> <G>b h k</G>
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diff changeset
8330 <I>quod verum e$t. quia $unt anguli externus &amp; internus ad ea$dem
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casties
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diff changeset
8331 partes duarum parallelarum</I> <G>a b, k h</G> <I>incidente in ip$as recta</I> <G>z h.</G></P>
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casties
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diff changeset
8332 <P>In parallelis enim.] <I>Quod hic dicit Ari$toteles</I> <G>i)/sas <+>a/mmas</G>
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casties
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diff changeset
8333 <I>vertimus parallelas. Sic enim etiam locutus e$t cap. 5. lib. 1. po$teriore
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diff changeset
8334 analytic. Si quis igitur inquit demon$trauerit, quod rect&aelig; non con-
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casties
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diff changeset
8335 currant, videatur huius e$$e dem&otilde;$tratio. quia in omnibus $it rectis.
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diff changeset
8336 Non e$t autem, $iquidem non, quod $ic &aelig;quales $int, id fit: $ed quate-
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casties
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diff changeset
8337 nus quomodolibet &aelig;quales.</I></P>
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diff changeset
8338 <P>Similiter &amp; ali&aelig;.] <I>Ex tribus diagrammatis in contextu de$cri-
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
8339 ptis quod $ecundum e$t o$tendit, exten$ionem funium breuiorem ea,
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diff changeset
8340 qu&aelig; in primo, &amp; tertio e$t, vt argumento problematis conuenire vi-
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
8341 deatur. E$t enim l&otilde;gitudo funium in eo duntaxat 28. pedum cum 4/5
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casties
parents:
diff changeset
8342 vnius pedis: cum in prim&ograve; $it 34. pedum fer&egrave;, &amp; in tertio 40 1/2 fere.</I></P>
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parents:
diff changeset
8343 <P><+></P>
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casties
parents:
diff changeset
8344 <P>27. Cur difficilius longali-
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diff changeset
8345 gna humero feruntur ab
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diff changeset
8346 extremo: quam &agrave; medio
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
8347 $ui.</P>
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diff changeset
8348 <P><+></P>
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diff changeset
8349 <P>Cur difficilius feruntur
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diff changeset
8350 humero longa ligna ab ex-
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diff changeset
8351 tremo: qu&atilde; &agrave; medio $ui, vt
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diff changeset
8352 &aelig;quale $it p&otilde;dus. An quod
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parents:
diff changeset
8353 extrem&utilde; ligni agitati ferri
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diff changeset
8354 prohibet, vt quod ge$tatio-
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parents:
diff changeset
8355 n&etilde; agitatione magis reuel-
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
8356 lat? An quoniam, licet 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
8357 incuruetur, neq; vald&egrave; 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
8358 ior&etilde; l&otilde;gitudinem habeat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8359 tam&etilde; ab extremo ferre dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8360 ficilius e$t: $ed quod faci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8361 lius &agrave; medio $ubleuetur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8362 quam ab extremo. Ob id ip$um etiam facilius fertur.</P>
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parents:
diff changeset
8363 <p n=>184</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8364 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8365 <P>Cvr difficilius.] <I>Huius capitis problema e$t cur lignum 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
8366 gum difficilius ex humero fertur per extremum: quam per 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
8367 dium. Huic dupliciter re$pondetur. Prima re$pon$io e$t $pecialis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8368 lignum quod flexile $i $it incuruatur, &amp; nutat. Nutatio autem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8369 $it motus ad alium terminum: quam ad quem fertur, impedit. 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
8370 &amp; aggrauans premit magis ferentem. Secunda e$t generalis ex ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8371 uatione faciliori, qu&aelig; $ic concludetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8372 <P><I>Quo modo lignum vel pondus facilius eleuatur, eodem &amp; fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8373 tur. Eleuatio enim ge$tatio qu&aelig;dam e$t, &amp; etiam ge$tationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8374 pars difficilior, cum $it ad contrarium omnino terminum, vt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8375 $ur$um: ge$tatio ver&ograve; lateraliter reliqua fiat.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8376 <P><I>At lignum longum facilius per medium: quam per 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
8377 mum eleuatur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8378 <P><I>Ergo lignum longum facilius ex humero fertur per medium:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8379 quam per extremum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8380 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8381 <P>Cau$a vero e$t, quod ex
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casties
parents:
diff changeset
8382 medio $ubleuato $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8383 extrema $e inuicem $uble-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8384 uant: &amp; altera pars alteram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8385 prompt&egrave; attollit. Medium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8386 enim quod habet $ubleu&atilde;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8387 vel fer&etilde;s efficitur tanquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8388 centrum. Itaque vtrumq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8389 extremorum deor$um ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8390 gens $ur$um $u$penditur.
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casties
parents:
diff changeset
8391 At ab extremo eleuat&utilde; vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8392 ge$tatum non idem facit:
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casties
parents:
diff changeset
8393 quin totum onus vergit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8394 medium vnum qu&ograve; eleua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8395 tur vel fertur. Hoc $it <G>a,</G>
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casties
parents:
diff changeset
8396 extrema <G>b, g.</G> Igitur eleuato
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casties
parents:
diff changeset
8397 vel ge$tato qua parte e$t <G>a</G>:
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parents:
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8398 <foot><G>b</G> quidem</foot>
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casties
parents:
diff changeset
8399 <p n=>185</p>
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casties
parents:
diff changeset
8400 <+>
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parents:
diff changeset
8401 <fig>
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parents:
diff changeset
8402 <G>b</G> quidem deor$um ver-
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casties
parents:
diff changeset
8403 gens attollit <G>g:g</G> vero deor-
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casties
parents:
diff changeset
8404 $um repens attollit <G>b.</G> Si-
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casties
parents:
diff changeset
8405 mul autem eleuata idem pr&aelig;$tant.</P>
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casties
parents:
diff changeset
8406 <head>COMMENTARIVS.</head>
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casties
parents:
diff changeset
8407 <P>Cau$a vero.] <I>Confirmatio e$t a$$umptionis ex &aelig;quis extremo-
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casties
parents:
diff changeset
8408 rum ponderibus vici&szlig;im ob id $e $ubleuantibus: $i enim vnius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8409 propen $io vergit deor$um: alterius re$i$tentia ad motum $ur$um im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8410 pediet. Et $ic $e$e mutu&ograve; librantia pondera, mutu&ograve; etiam $e $ubleuant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8411 E$t enim medium quod fertur, tanquam centrum, &agrave; quo extrema 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
8412 &aelig;qu&aelig; lances in iu$ta libra, $u$penduntur. Non ita e$t vbi lignum per
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parents:
diff changeset
8413 extremum fertur: $ed totum ad partem vnam vergit ab co per quod</I>
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casties
parents:
diff changeset
8414 <fig>
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casties
parents:
diff changeset
8415 <I>ge$tatur deflectens. Ex deflexione autem
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casties
parents:
diff changeset
8416 $eu depre&szlig;ione extremi, tanquam ponderis
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casties
parents:
diff changeset
8417 prementis, labor augetur in ferente. Ergo
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casties
parents:
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8418 vbi depre&szlig;io nulla e$t, vt in priori modo,
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parents:
diff changeset
8419 ibi labor minor erit. Et $ic lignum lon-
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casties
parents:
diff changeset
8420 gum ab extremo difficilius fertur quam
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casties
parents:
diff changeset
8421 &agrave; medio. Sed h&icirc;c etiam qu&aelig;ri pote$t cur
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casties
parents:
diff changeset
8422 lignum longum puta lancea ab extremo
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parents:
diff changeset
8423 vno ge$tata facilius feratur, $i perpendi-
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diff changeset
8424 cularis $it plano horizontis: qu&atilde; ad ip$um
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diff changeset
8425 inclinata. Hoc fit quia in perpendiculari
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diff changeset
8426 partes inferiores $u$tinent $uperiores: in
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diff changeset
8427 inclinata non item, omnes enim $ine ful-
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diff changeset
8428 cimento tendunt pro natura $ua deor$um.
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casties
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diff changeset
8429 Pr&aelig;terea in perpendiculari ip$a lancea to-
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diff changeset
8430 ta pondus e$t. Huic $u$tinend&aelig; qu&aelig; vis</I>
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parents:
diff changeset
8431 <foot>Aa</foot>
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parents:
diff changeset
8432 <p n=>186</p>
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casties
parents:
diff changeset
8433 <I>$ufficiet, $ufficiet &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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diff changeset
8434 <fig>
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parents:
diff changeset
8435 <I>ferend&aelig;, inque $u$ti-
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diff changeset
8436 nenda tantum labo-
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casties
parents:
diff changeset
8437 rat: in inclinata ex-
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parents:
diff changeset
8438 tremum e$t hypomoch-
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parents:
diff changeset
8439 lium, &agrave; quo non long&egrave;
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parents:
diff changeset
8440 abe$t vis mouens: 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
8441 dus ver&ograve; quod e$t 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
8442 qua pars, ab hoc 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
8443 mo alterum extremum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8444 quant&ograve; longius: tant&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
8445 maiorem rationem ad
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parents:
diff changeset
8446 vim mouentem habe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8447 bit, &amp; $ic difficilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8448 feretur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8449 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8450 <P>28. Cur humero difficilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8451 fertur vald&egrave; l&otilde;gum 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
8452 dus: quam breue.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8453 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8454 <P>Cur $i fuerit pondus id&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
8455 vald&egrave; longum humero dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8456 ficilius fertur, eti&atilde; vt quis &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
8457 medio ferat, quam $i fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8458 breue. Huius quod antea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8459 dictum e$t, cau$a n&otilde; e$t: $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8460 agitatio cau$a e$t. Quum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8461 enim longius fuerit extre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8462 ma agitantur. Ideo contin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8463 git ferentem mult&ograve; diffici-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8464 lius ferre. Maioris vero agi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8465 tationis cau$a e$t, quod in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8466 ead&etilde; motione extrema tr&atilde;$
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8467 fer&utilde;tur magis, qu&atilde;t&ograve; lign&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
8468 fuerit longius. Etenim hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8469 <p n=>187</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8470 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8471 merus $it c&etilde;trum vbi e$t <G>a.</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
8472 hoc enim manet. Sint 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
8473 <G>a b</G> &amp; <G>a g</G> line&aelig; ex centro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8474 Qu&atilde;t&ograve; igitur fuerit maius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8475 id, quod ex c&etilde;tro, velip $um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8476 <G>a g,</G> tant&ograve; plus magnitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8477 illa transfertur, quod e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8478 prius demon$tratum.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8479 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8480 <P>Cvr $i fuerint.] <I>Huius capitis problema e$t. cur lignum lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8481 gius &egrave; medio ge$tatum breuiori eiu$dem ponderis difficilius ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8482 humero fertur. Cui vt re$pondeat generalem pr&aelig;cedentis $olutionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8483 re&yuml;cit, &amp; eam qu&aelig; $pecialis fuit de agitatione vtriu$que extremi ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8484 fert, vt qu&aelig; reuellat in alium terminum, contorqueat, &amp; premat fe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8485 rentem. H&aelig;c autem pendet &agrave; maiore di$tantia &agrave; medio tanquam cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8486 tro humeris ge$tato.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8487 <P><I>Sit igitur lignum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8488 longius A B &egrave; me-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8489 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8490 <I>dio C ge$tatum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8491 <P><I>Sit &amp; breuius</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8492 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8493 <I>D E eiu$dem pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8494 deris puta decem librarum &egrave; medio F ge$tatum etiam. Quia partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8495 cum pariter multiplicibus $unt in eadem ratione prop. 15. lib. 5. &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8496 e$t A B maior ip$o D E, erit dimidium A C maius dimidio D F.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8497 Et $ic extremum A magis di$tans &agrave; centro C immoto plus mouet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8498 vel mouetur pro natura $ua deor$um. Item B. Ergotum A tum B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8499 plus impediunt ferentem ex C: quam D &amp; E ex F. Qu&aelig;ri hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8500 po$$et cur pondera $ini$tro humero facilius ferantur, quam dextro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8501 Hoc fit, quia dextrum cumnat&utilde; $it ad mouere: $ini$trum ad moueri:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8502 illud $i liberum $it ab onere impo$ito (quod premit ideoque impedit)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8503 facilius &amp; maiori vi mouebit. Impeditum enim omne minus probe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8504 fungitur officio. Pr&aelig;terea cum progre&szlig;io fiat impul$ione vnius cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8505 ris, &amp; tractione, tum impul$ione alterius, melius e$t aliud, quod plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8506 impul$ione &amp; tractionevalet ab onere liberari. E$t aut&etilde; dextr&utilde; crus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8507 <foot>Aa ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8508 <p n=>188</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8509 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8510 <P>29. Cur in puteis tolleno-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8511 nem faciunt hoc mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8512 do.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8513 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8514 <P>Cur in puteis tollenonem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8515 faci&utilde;t $ic, vt ligno pondus
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casties
parents:
diff changeset
8516 plumbum $cilicet adijci&atilde;t.
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casties
parents:
diff changeset
8517 An quod in duo tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8518 diui$um $it hauriendi opus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8519 Immergere enim opor-
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diff changeset
8520 tet $itulam, &amp; hancrur$us
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
8521 $ur$um trahere. Contingit
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parents:
diff changeset
8522 quidem vacuam facile de-
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parents:
diff changeset
8523 mittere. At plenam attolle-
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parents:
diff changeset
8524 re difficile. Confert igitur
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parents:
diff changeset
8525 paulo tardius demittere, vt
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parents:
diff changeset
8526 qui attollit, attollat mult&ograve;
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parents:
diff changeset
8527 facilius. Hoc autem pr&ecedil;$tat
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parents:
diff changeset
8528 plumbum, vel lapis extre-
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parents:
diff changeset
8529 mo tollenonis adiectus.
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parents:
diff changeset
8530 Demittenti enim pondus
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parents:
diff changeset
8531 redditur maius: quam $i $o-
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parents:
diff changeset
8532 lam vacuam $itulam opor-
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parents:
diff changeset
8533 teret demittere. At quan-
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parents:
diff changeset
8534 do plena fuerit, hanc edu-
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parents:
diff changeset
8535 cit plumbum, vel $i quod
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parents:
diff changeset
8536 aliud pondus adiectum $it.
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parents:
diff changeset
8537 Itaq; hoc modo vtrumque
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casties
parents:
diff changeset
8538 factu facilius e$t: quam alterum.</P>
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parents:
diff changeset
8539 <head>COMMENTARIVS.</head>
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diff changeset
8540 <P>Cvr in puteis tollenonem.] <G>Khlo/neion</G> <I>quid $it etiam$i h&icirc;c
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diff changeset
8541 Ari$toteles non explicet, non e$t tamen difficile coniectura a$-
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diff changeset
8542 $equi, e$$e eam machinam ligneam, qua &amp; antiqui v$i$unt, &amp; qui
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parents:
diff changeset
8543 adhuc viuunt vtuntur in hauriendis aquis &egrave; puteo ad irrigandos</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
8544 <p n=>189</p>
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diff changeset
8545 <I>hortos, vel ad aliud quod volunt. V$um hunc pulchre expre&szlig;it Colu-
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
8546 mella, $i rect&egrave; Leonicus pro tendentibus corrigens reponit celonius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
8547 $ic igitur de irrigandis hortis loquens dixit Columella:</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8548 <P>Vicini quo que $int amnes, quos incola durus</P>
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diff changeset
8549 <P>Attrahat auxilio $emper $itientibus hortis:</P>
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
8550 <P>Aut fons illachrymet putei non $ede pro funda</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8551 <P>Ne grauis hau$turis celonius ilia vellat.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8552 <P><I>Machina h&aelig;c qu&aelig; ab officio tollendi tolleno dicitur, con$tat trabe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8553 erecta, vt D C, &amp; tigno tran$uer$o circa axiculum in alto trabis</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8554 <fig>
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parents:
diff changeset
8555 <I>ver$atili, vt A B, &agrave; cuius extremo B cum cathena B E pendet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8556 vas E, in altero A pondus plumbeum, vel lapideum G ad&yuml;citur 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
8557 commodiorem, vt vult h&icirc;c Ari$tottles, &agrave; puteo F exhau$tum. 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
8558 rit igitur cur in altero tollenonis extremo pondus ad&yuml;ciatur. Huius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8559 qu&aelig;$tionis difficultas arguitur, quod $itula $eu vacua, $eu plena, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8560 pondus. Pondus autem ponderi adiectum difficilius moueri deberet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8561 <foot>Aa iij</foot>
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parents:
diff changeset
8562 <p n=>190</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8563 <P>An quod in duo.] <I>Re$pon$io e$tex di$tinctione duplicis mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8564 tus exhau$tioni per tollenonem nece$$ar&yuml;. Alter e$t immer$ionis: 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
8565 ter eleuationis. Et illum quidem fatetur Ari$toteles ex adiecto 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
8566 dere reddi difficiliorem: at hunc contra multo effici faciliorem. 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
8567 mittendum autem in vna totius operis parte leue incommodum, 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
8568 pter $ub$ecuturam in altera opero$iori parte long&egrave; maiorem commo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8569 ditatem. Vnde autem tum h&aelig;c, tum illud pendeat non dicit Ari$tote-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8570 les, quia ex antecedentibus facile intellectum. Tignus enim tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8571 uer$us e$t vectis, cuius fulciment&utilde; e$t in axiculo trabis, atq; in motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8572 immer$ionis pondus mouend&utilde; e$t in A: mouens vero e$t in B, vel in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8573 $itula E. Qu&ograve; igitur pondus in A erit grauius, e&ograve; difficilius attol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8574 letur, $ic natura grauitatis ferente: &amp; $ic maiore vi opus erit: contr&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8575 in motu eleuationis, pondus mouendum e$t $itula, mouens e$t in 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
8576 hic adiutus pondere adiecto natura $ua deor$um vergente, facilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8577 tant&ograve; deprimet ip$um A: quant&ograve; grauius erit G. Et $ic facilius 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
8578 attolletur cum annexa $itula. Po$$et etiam h&aelig;c qu&aelig;$tio ad libram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8579 commodi&szlig;im&egrave; referri.</I></P>
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><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8581 <P>30. Cur cum duo homines
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8582 c&utilde; pertica pondus &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
8583 le ferunt, non &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
8584 premuntur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8585 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8586 <P>Cur cum duo homines
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8587 cum pertica, vel aliquo $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8588 mili pondus &aelig;quale fer&utilde;t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8589 non $imiliter premuntur, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8590 ip$um non &egrave; medio $u$pen-
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parents:
diff changeset
8591 datur: $ed qu&atilde;t&ograve; magis 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
8592 pius fuerit ferentibus. 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
8593 quia pertica quidem $ic fe-
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parents:
diff changeset
8594 rentium e$t vectis, pondus
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parents:
diff changeset
8595 ver&ograve; hypomochlium: Et&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
8596 baiulis qui ponderi 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
8597 pior e$t, e$t mobile: alter
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parents:
diff changeset
8598 ver&ograve; e$t mouens, qui qu&ograve;
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casties
parents:
diff changeset
8599 plus di$titerit &agrave; p&otilde;dere, 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
8600 <p n=>191</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8601 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8602 facilius mouet, &amp; alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8603 deor$um premit magis t&atilde;-
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parents:
diff changeset
8604 quam pondus adiectum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8605 quod e$t hypomochlium
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casties
parents:
diff changeset
8606 renitatur. At po$ito ponde-
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casties
parents:
diff changeset
8607 re in medio, non alter alteri
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parents:
diff changeset
8608 maiori e$t ponderi, nec ma-
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parents:
diff changeset
8609 gis mouet: $ed vterq; vtri-
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casties
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diff changeset
8610 que $imile pondus adfert.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
8611 <head>COMMENTARIVS.</head>
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casties
parents:
diff changeset
8612 <P>Cvr cum duo.] <I>Fu$tes teretes nodis carentes ad onera go$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
8613 da apti palang&aelig; &agrave; Nonio &amp; Varrone dicuntur, vel phalang&aelig;
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casties
parents:
diff changeset
8614 &agrave; Plinio vnde phalangar&yuml; Baiuli &yuml;s vt&etilde;tes, qui ex numero tetrapho-
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casties
parents:
diff changeset
8615 ri, &amp; hexaphori dicti $unt. Qu&aelig;rit igitur h&icirc;c Ari$toteles. cur &egrave; duo-
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parents:
diff changeset
8616 bus pondus aliquod phalanga ferentibus, qu&ograve; ponderi propinquior e$t
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parents:
diff changeset
8617 alter, e&ograve; magis remotiori prematur. Cuius qu&aelig;$tionis caus&atilde; refert ad
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casties
parents:
diff changeset
8618 vect&etilde;, cuius hypomochli&utilde; $it in p&otilde;dere ge$tato, vel $u$t&etilde;to. Siue enim
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casties
parents:
diff changeset
8619 homines ambul&etilde;t: $iue $tent, nihil intere$t, vtpot&egrave; quod grauitate $ua
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parents:
diff changeset
8620 ne attollatur, ob $i$tat. Mouend&utilde; e$t in $u$tinente propinquiore: mou&etilde;s
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parents:
diff changeset
8621 e$t in remotiore. Et cur ita potius, cau$am adfert, quia vectis pars ma-
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parents:
diff changeset
8622 ior facilius mouetur, id e$t vt interpretor $u$tinetur, vel eleuatur: $ic-
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parents:
diff changeset
8623 que pars minor magis deprimetur, depre$$a ferent&etilde; vel $u$tinent&etilde; ma-
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casties
parents:
diff changeset
8624 gis premet, vt h&icirc;c moueri n&otilde; $it aliud: qu&atilde; deor$um premi: &amp; mouere
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casties
parents:
diff changeset
8625 $u$tinere, vel attollere. Alioqui $i mouere aliter $umatur, ratio qua
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casties
parents:
diff changeset
8626 vectis longior facilius mouet, e$t in motione circa hypomochli&utilde; am-
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casties
parents:
diff changeset
8627 bitus magnitudo, ob qu&atilde; quia motio redditur tardior, &amp; ide&ograve; leuior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8628 eti&atilde; e$t, h&icirc;c conuenire n&otilde; pote$t. Neque enim in hac vectis circ&utilde;duci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8629 tur: $ed premit tant&utilde; $u$tinentes, vt quid graue. Sed &amp; aliter quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8630 Ari$toteles re$ponderi pote$t, ita accepto motu, $i dicamus alterutr&utilde;
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casties
parents:
diff changeset
8631 e $u$tinentibus e$$e fulciment&utilde;, &amp; alterum e$$e potenti&atilde;: mobile aut&etilde;
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casties
parents:
diff changeset
8632 e$$e id, quod inter vtrumq; appendet. Nam ver&utilde; e$t quod &egrave; tertio co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8633 roll. prop. 2. tractatus de vecte apud Gvid&utilde; Vbaldum demon$trate
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casties
parents:
diff changeset
8634 deducitur. Nempe $i in extremis vectis du&aelig; $int potenti&aelig;, inter quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8635 pondus $it $u$pen$um. Erit vna ad alteram vt interualla inter po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8636 tentias, &amp; pondus reciproc&egrave;. Vt $i $it vectis A B, poten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8637 ti&aelig; A &amp; B, pondus $u$tentum C E, erit A ad B. vt 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
8638 ad A C. Sit igitur vt B C $it minor: quam A C. Ergo A.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8639 <p n=>192</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8640 <I>potentia</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8641 <fig>
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casties
parents:
diff changeset
8642 <I>erit mi-
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casties
parents:
diff changeset
8643 nor: qu&atilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8644 B, id e$t
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casties
parents:
diff changeset
8645 potentia
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casties
parents:
diff changeset
8646 minorin
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8647 A $ic di
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8648 $tante &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8649 C $ufficiet $u$tinendo ponderi. Po$itis igitur A &amp; B potent&yuml;s
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8650 &aelig;qualibus, A facilius $u$tinebit, &amp; quidem tant&ograve;: quant&ograve; A <*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8651 $tabit magis ab C. Sit pr&aelig;terea vt C $it in medio vectis A B.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8652 quia B C erit &aelig;qualis ip$i A C potenti&aelig; &aelig;quales A &amp; B e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8653 debent, vt &aelig;qu&egrave; pondus idem $u$tineant. Ob id rect&egrave; dictum e$t illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8654 ab Ouidio,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8655 <P>Non ben&egrave; in&aelig;quales veniunt ad aratra Iuuenci:</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8656 <P>Si qua velis apt&egrave; nubere, nube pari.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8657 <P><I>Si enim in&aelig;quales tunc grandior minorem premit magis: ob id periti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8658 agricol&aelig;, $i quando alterius iugatornm laborem leuare velint, lorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8659 longius efficientes ad ip$um religant.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8660 <P><I>Hanc rur$us qu&aelig;$tionem aliter $oluere videtur Cardanus, nimi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8661 rum quod E pondus alteri ferentium propius exi$tens ip$um premit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8662 magis, quia de$cendat magis re$pectu B: quam A alterius feren-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8663 tium. Nam cum de$cendat $ecundumrectam C E, $i intelligamus &agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8664 puncto B ad Erectam ductam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8665 &amp; ab A ad E item rectam,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8666 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8667 <I>con$titutum erit triangulum A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8668 B E, cuius quia A E maior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8669 e$t: quam E B, per prop. 46.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8670 &amp; 47. lib. 1. E$t enim A di$tans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8671 magis ab C quam B ex hypo-
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casties
parents:
diff changeset
8672 the$i: erit angulus B maior: quam A prop. 18. lib. 1. Et $ic E plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8673 de$cendit re$pectu B: quam re$pectu A. Igitur E plus grauat B:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8674 quam A $eu ex cau$a, quod magis premat: $eu ex effectu, quod ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8675 gis de$cenderit.</I></P>
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casties
parents:
diff changeset
8676 <foot>31. Cur</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8677 <p n=>193</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8678 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8679 <P>31. Cur qui $urgunt, $ic $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8680 gant.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8681 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8682 <P>Cur omnes qui $urgunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8683 con$titu&etilde;tes angulum acu-
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casties
parents:
diff changeset
8684 tum ex femore &amp; tibia, t&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8685 ex thorace &amp; femore $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8686 gant: $in minus, $urgere ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8687 que&utilde;t. An quia, quod &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
8688 le e$t, quietis vbique cau$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8689 e$t. Angulus autem rectus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8690 e$t &aelig;qualitatis, &amp; $tatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8691 facit. Ide&ograve; etiam fertur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8692 angulos $imiles, c&utilde; $uperfi-
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casties
parents:
diff changeset
8693 cie terr&aelig;. Sic enim erit ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8694 plano ad rectos: vel quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8695 $urgens fit rectus. Nece$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8696 e$t autem $tantem e$$e per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8697 pendicularem terr&aelig;. Si igi-
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casties
parents:
diff changeset
8698 tur debet e$$e ad rectos.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8699 hoc e$t capur habere &egrave; di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8700 recto pedum. Etiam quum
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casties
parents:
diff changeset
8701 $urgit fieri oportet. Quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8702 do igitur $edet caput habet
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casties
parents:
diff changeset
8703 ad pedes parallelum, &amp; ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8704 quaquam in vna recta. Sit
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diff changeset
8705 caput <G>a,</G> thorax <G>a b,</G> fe-
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diff changeset
8706 mut <G><+> g,</G> tibi&aelig; <G>g d,</G> fiat
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diff changeset
8707 ver&ograve; thorax <G>a <+></G> ad rectos
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diff changeset
8708 femori, &amp; femur tibi&aelig; $ic
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diff changeset
8709 $edenti. Itaque $ic $e ha-
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diff changeset
8710 bentem impo$$ibile e$t $ur-
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8711 gere. At nece$$e e$t incli-
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8712 nare tibiam, &amp; con$titue-
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diff changeset
8713 re pedes $ub capite: hoc
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diff changeset
8714 autem erit $i <G>g d</G> fiat <G>g</G>
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diff changeset
8715 <foot>Bb</foot>
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diff changeset
8716 <p n=>194</p>
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diff changeset
8717 <+>
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parents:
diff changeset
8718 <G>z,</G> tunc $imul $urgere con-
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diff changeset
8719 tinget. Atque habere tum
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diff changeset
8720 caput, tum pedes in eadem
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diff changeset
8721 recta: <G>g z</G> vero cum <G><+> g</G>
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diff changeset
8722 angulum acut&utilde; con$tituet</P>
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diff changeset
8723 <head>COMMENTARIVS.</head>
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diff changeset
8724 <P>Cvr qui $urgunt.] <I>Surrectio e$t motio, quia homo &egrave; iacente
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diff changeset
8725 vel $edente fit $tans. Quod vt intelligatur $cire oportet attingi
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diff changeset
8726 h&icirc;c quatuor figuras, quibus hominis corpus ex certa $ui po$itione fi-
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diff changeset
8727 gurari pote$t. h&aelig; $unt iacere $upinum, iacere pronum, $edere, $tare.
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diff changeset
8728 Iacere $upinum e$t cum $pina animalis terram contingit. Iacere pro-
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diff changeset
8729 n&utilde; e$t cum humi venter reclinatus e$t. H&aelig; du&aelig; figur&aelig; quia ad quie-
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diff changeset
8730 tem $omnumque communem comparat&aelig; $unt, pluribus animalibus
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diff changeset
8731 communes e$$e potuerant, $ed pronum ambulare conuenit brutis, qua-
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diff changeset
8732 $i $ol&ugrave;m ad pa$tum &agrave; natura in$titutis. Se&szlig;io e$t $itus in quo $pina
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diff changeset
8733 cum femore, &amp; femur cum tibia angulum rectum facit. Statio e$t
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diff changeset
8734 $itus in quo $pina femur &amp; tibia in vna recta exi$tentes perpendi-
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diff changeset
8735 culares $unt horizonti. H&aelig; du&aelig; $oli homini propri&aelig; $unt. quia $olus
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diff changeset
8736 articulos ita &agrave; natura $apiente &amp; architectatrice conformatos ha-
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diff changeset
8737 bet, vt $ic eius o$$a di$poni valeant. Solus enim articulum femoris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8738 &amp; i$ch&yuml; ad anteriora flectit, ip$ius ver&ograve; genu retror$um reflectit,</I>
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diff changeset
8739 <marg>Cap. 1. &amp; 3.
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diff changeset
8740 lib. 3. de v$u
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diff changeset
8741 part.</marg>
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diff changeset
8742 <I>$ine quibus neque tibia &amp; femur cum $pina in vn&atilde; rectam adduci
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diff changeset
8743 pote$t, at in belluis vbi femur c&utilde; $pinarect&utilde; fecit, tibia nunqu&atilde; cum
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parents:
diff changeset
8744 femore rectum faciet: nec etiam ip$a ad terram recta erit. quod ta-
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diff changeset
8745 men, vt $e&szlig;io $ecura fiat, nece$$um e$t. cum igitur omnia bruta an-
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
8746 tror$um po$teriorum crurum flexiones habeant, $olus homo $edet,
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
8747 &amp; $tat: &amp; $apienter ita hunc natura fecit, cum hic $olus mentem</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
8748 <marg>Cap. 2. lib. 1.
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diff changeset
8749 de v$u part.</marg>
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diff changeset
8750 <I>qu&aelig; e$t ars artium habiturus erat, id e$t $olus artifex futurus erat.
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diff changeset
8751 Manuum enim, qu&aelig; $int <G>o)/rganon o)rganwn,</G> vt vocat no$ter Gale-
22d6a63640c6 moved 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 nus actiones in opific&yuml;s, duabus his t&atilde;tum egent figuris. Nemo 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
8753 $upinus aut pronus quicquamagit. Ideo etiam, vt id obiter dicam,
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
8754 qui opinantur ob id rectum $tare hominem, vt c&aelig;lum prompt&egrave; $u$pi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8755 ciat, dicereque po&szlig;it.</I></P>
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casties
parents:
diff changeset
8756 <P>Re$picio aduer$us Olympum fronte intrepida.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8757 <p n=>195</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8758 <P><I>Illi numquam viderunt pi$cem dict&utilde;</I> <G>*ou<+>ano/skopon,</G> <I>id e$t c&aelig;li $pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8759 culatorem. Hic namque vel inuitus c&aelig;lum $emper intuetur: homo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8760 autem ni$i collum reflectat retror$um, c&aelig;lum non videt. Atqui 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
8761 reflexio communis e$t etiam a$inis, vt omittam aues, qu&aelig; longo collo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8762 $unt pr&aelig;dit&aelig;, quibus non $olum facil&egrave; e$t $ur$um: $ed &amp; quoquouer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8763 $um, $i voluerint a$picere. Et qu&atilde;do po$t Platon&etilde;, Ouidius dixit illud,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8764 <P>Pronaque cum $pectant animalia c&aelig;tera terram,</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8765 <P>Os homini $ublime dedit, c&aelig;lum que videre</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8766 <P>Iu$$it, &amp; erectos ad $idera tollere vultus.</P>
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casties
parents:
diff changeset
8767 <P><I>Non $entit cum Platone &amp; fallitur: $i c&oelig;lum videre intelligit, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8768 quis $upinus $eip$um reclinarit o$citans: non autem potius cum quis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8769 naturam c&oelig;le$tium mente con$iderat, quod e$t homini, vt erectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8770 e$$e po$$e, proprium: pronum vero e$$e po$$e, commune e$t illi, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8771 belluis, qu&aelig; non $olumiacentes: $ed &amp; ambulantes $ic $unt. Ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8772 enim humum omnes ventrem conuer$um habent, ali&aelig; magis, ali&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8773 minus modo $imillimo infantium, qui manibus pedibu$que innixi, $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8774 mouent. Vnus cercopithecus proxime accedit ad hominis erectum
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parents:
diff changeset
8775 $tatum, diutiu$que $tare vtcunque pote$t, &amp; manum habet: $ed di&szlig;i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8776 milem, vt in qua pollex non e$t reliquis digitis oppo$itus, nec <G>an)ti/-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8777 xeir,</G> proptere&agrave; dicitur &agrave; Galeno e$$e ridicula hominis imitatio. ab hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8778 enim $itu pollex</I> <G>i)/son dun/atai tn_| o(/lh xeiei/.</G></P>
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casties
parents:
diff changeset
8779 <P>Cur omnes qui $urgunt.] <I>Qu&aelig;rit h&icirc;c Ari$toteles, cur $ur-
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casties
parents:
diff changeset
8780 gens de $e&szlig;ione nece$$ario con$tituat angu-
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casties
parents:
diff changeset
8781 lum acutum ex tibia cum femore, vel ex
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casties
parents:
diff changeset
8782 thorace, $eu $pina cum femore, vt in $e$-</I>
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casties
parents:
diff changeset
8783 <fig>
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casties
parents:
diff changeset
8784 <I>$ione $it thorax A B, femur B C, tibia C
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casties
parents:
diff changeset
8785 D, anguli A B C &amp; B C D recti. Ex hoc
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casties
parents:
diff changeset
8786 $ituad $urgendum innitens nece$$e habet addu-
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casties
parents:
diff changeset
8787 cere C D ad C E, vel A B ad B F, vt &egrave;
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casties
parents:
diff changeset
8788 rectis A B C, B C D angulis, fiant acuti
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casties
parents:
diff changeset
8789 F B C, B C E.</I></P>
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casties
parents:
diff changeset
8790 <P>An quia quod &aelig;quale.] <I>Qu&aelig;$tionem propo$itam $oluit du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8791 pliciter. Primo modo &egrave; cau$a quietis in $e$sione per$euer&atilde;te, quandiu
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casties
parents:
diff changeset
8792 recti anguli con$eruantur. hic erit $yllogi$mus.</I></P>
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casties
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diff changeset
8793 <P><I>Cau$a quietis per$euerante fieri non pote$t $urrectio, vt qu&aelig; mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8794 tio $it.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8795 <foot>Bb ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8796 <p n=>196</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8797 <P><I>Angulorum rectitudo e$t cau$a quietis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8798 <P><I>Erg&ograve; quandiu per$euerauerit, $urrectio non fiet.</I></P>
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casties
parents:
diff changeset
8799 <P><I>A$$umptionis loco po$ita e$t eius confirmatio ab axiomate, &amp; $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8800 concludetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8801 <P><I>&AElig;qualitas e$t vbique cau$a quietis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8802 <P><I>Angulus rectus e$t &aelig;qualitas, quia $ibi &amp; al&yuml;s omnibus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8803 ctis rectilineis e$t &aelig;qualis. quod e$t axioma 10. lib. 1. In eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8804 $cilicet rect&aelig; ip$um con$tituentes $ibi pariter incumbunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8805 $ibique inuicem perpendiculares $unt. ex def. 10. lib. 1.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8806 <P><I>Erg&ograve; angulus rectus e$t cau$a quietis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8807 <P><I>C&aelig;terum axioma hoc de &aelig;qualitate cau$a quietis diligenter animad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8808 uertendum e$t in tota rer&utilde; natura. Et vt particulatim expendamus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8809 videamus, vt omnia quie$cant ad rectos angulos. Primum elementa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8810 omnia in planum $ui loci rect&agrave; $ur$um vel deor$am feruntur, &amp; in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8811 medio collocata, ni$i aliena vi dimoueantur quie$cunt. Itaque 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
8812 $i$tunt medio ad angulos rectos. Ob id terra cubico octon&ucirc;m recto-
22d6a63640c6 moved 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 rum $olido &agrave; Pythagoreis &amp; &agrave; Platone e$t comparata. Deinde arbo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8814 res &amp; plantarum omne genus rect&agrave; in$i$t&utilde;t plano. Durabile in &aelig;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
8815 fic&yuml;s nihil e$t, ni$i rect&agrave; in$i$tat. Po$trem&ograve; hominis quies, $eu iaceat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8816 humi, $eu $edeat, $eu $tet, fit per rectos angulos. Iacet enim humi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8817 aut in lecto decumbit cum totum quidem corpus plano horizontis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8818 parallelum e$t, aut eidem congruit: $ed tunc omnes cra&szlig;itudinis di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8819 men$iones plano in$i$tunt ad rectos, vt de pedibus erectis videre e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8820 Sedet quis in Hemicyclo? tib&yuml;s cum femoribus &amp; femoribus rur$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
8821 cum $pina dor$i rectos angulos facit. Hinc collige vt vnus calceus
22d6a63640c6 moved 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 non omni pedi conuenit: $ic nec vnum $edile omni homini ad $e&szlig;io-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8823 nem commodum e$t, maiori maius requiritur minori minus. Stat au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8824 tem? cum omnibus rectis &agrave; quibus tangitur in ip$o plano rectos etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8825 angulos facit. Ergo quies &amp; $tatus per angulos rectos fiunt.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8826 <P>Vel quod $urgens.] <I>Secundus modus e$t $olutionis qu&aelig;$tionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8827 propo$it&aelig; per modum mutationis, qu&aelig; fit dum quis &egrave; $ed&etilde;te fit $tans,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8828 qu&aelig; $urrectio dicitur. H&aelig;c igitur, $i quis $tare debeat facere debet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8829 vt $it particeps di$po$itionis, qu&aelig; in $tante e$t. At di$po$itio qu&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
8830 $tante e$t, e$t $itus pedum &amp; capitis, $pin&aelig;que in eadem recta. Huius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8831 $e&szlig;io non e$t particeps. quia pedes &amp; $pina $unt in Lineis parallelis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8832 contra adductio tibi&aelig;, ita vt angulum acutum cum femore con$ti-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8833 <p n=>197</p>
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parents:
diff changeset
8834 <I>tuat: vel thoracis vt cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8835 femore, quia pedes rect&agrave;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8836 <fig>
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casties
parents:
diff changeset
8837 <I>$ub capite, aut $altem re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8838 ctius: quam ante collocat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8839 $tationis magis e$t parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8840 ceps. Ad $urrectionem igi-
22d6a63640c6 moved 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 tur nece$$arij $unt anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8842 acuti facti vel &agrave; thorace
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8843 cum femoribus, vel &agrave; fe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8844 moribus cum tibijs, vt diagrammate</I> <G>a b g d</G> <I>pro $edente, &amp;</I> <G>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
8845 g z</G> <I>pro $urgente declaratur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8846 <P><I>Et hinc patet quod $i thorace cum femore, &amp; femore cum tibia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8847 $imul anguli acuti fiant, facilius $urgetur: &amp; rur$us quant&ograve; an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8848 guli illi erunt acutiores: tant&ograve; facilius $urgetur: $icque $urgunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8849 imbecilli, &amp; conuale$centes. Porr&ograve; $urrectio &egrave; $edente ad $tandum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8850 declarata e$t angulis acutis indigere: $urrectionem &egrave; iacente etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8851 indigere clarum e$t. Is enim qui iace<*>, vt $urgat, &amp; $tet, quatuor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8852 acutos efficit, utroque brachio &amp; latere: thorace &amp; cruribus: fe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8853 moribus &amp; tibiis, vt ia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8854 ceat A B G D. vt $ur-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8855 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8856 <I>gat A B thorax bra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8857 chiorum in acutos con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8858 formatorum adminiculo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8859 adducetur ad E B: $ic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8860 que E B G erit acutus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8861 ex thorace &amp; femoribus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8862 &amp; G D tibia adducetur in G F: $icque erit acutus B G F.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8863 <P><I>C&aelig;terum $e&szlig;io, de qua h&icirc;c Aristoteles, e$t propri&egrave; dicta, &amp; hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8864 Galenus cum $ecuritate e$$e dixit. Et ea maxim&egrave; vtuntur, qui $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8865 dentarias artes exercent. At tamen $e&szlig;io lat&egrave; $umpta, fit ad angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8866 los acutos, vt cum $ella humilior e$t tib&yuml;s $edentis, &amp; ad obtu$os
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8867 cum altior e$t. Vnde experientia notum e$t hominem quant&ograve; altius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8868 $edet, tant&ograve; facilius $urgere, quod tamen videtur repugnare pr&aelig;di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8869 ctis, cum obtu$i anguli longius ab $int, etiam quam recti, ab acutis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8870 <foot>Bb iij</foot>
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casties
parents:
diff changeset
8871 <p n=>198</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8872 <table>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8873 <row><col></col><col><I>Altiore K</I></col></row>
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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8874 <row><col><I>vt $it thorax A B $edens $uper $ella</I></col><col><I>&AElig;quali L</I></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8875 <row><col><I>tib&yuml;s.</I></col><col><I>Humiliore M</I></col></row>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8876 </table>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8877 <P><I>Dico quod ex</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8878 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8879 <I>K facilius $ur-
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parents:
diff changeset
8880 get: quam ex L:
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parents:
diff changeset
8881 quamque ex M.
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casties
parents:
diff changeset
8882 Ratio e$t, quia
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casties
parents:
diff changeset
8883 A B $uper K
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casties
parents:
diff changeset
8884 magis e$t parti-
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diff changeset
8885 ceps $tationis:
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casties
parents:
diff changeset
8886 quam $uper L.
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casties
parents:
diff changeset
8887 Et $uper L quam
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parents:
diff changeset
8888 quam $uper M.
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parents:
diff changeset
8889 Vt enim $urrectionis initium fiat per angulos acutos: Me-
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diff changeset
8890 dium tamen perducens ad terminum ad quem, qui e$t $itum
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
8891 e$$e in vna recta vt A B G D, tran$it per minus acutos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8892 ad rectum, &amp; tandem ad obtu$os, &amp; obtu$is obtu$iores: quou$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8893 ad vnam rectam peruentum $it, in qua e$t $tatio vt e$t A B G D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8894 relicta $ella K, vel L, vel M. Sed pr&aelig;ter h&aelig;c ob$eruatione di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8895 gnum e$t, quod in ambulatione progre$$uque no$tro femora cum ti-
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diff changeset
8896 bijs, &amp; thoracem cum femoribus non omnino in rectam: $ed in an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
8897 gulos obtu$i&szlig;imos: tum crura inter $e in acutum angulum, qui e$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
8898 vertex trianguli I$o$celis conformamus. Altero $cilicet pedum fir-
22d6a63640c6 moved 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 mato in $olum, altero celeriter circumlato. vt cum P Ramo aduer-
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
8900 $us philo$ophos illos, $i diis placet, qui Platonicis alis de$tituti, philo-
22d6a63640c6 moved 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 $ophari aggrediuntur, concludamus, quod quie$cimus, quod $edemus,
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
8902 quod $urgimus, quod $tamus, quod ambulamus, quod currimus, geo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8903 metri&aelig; v$um e$$e. Sed &amp; addemus ex nostro Galeno, id quoque ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8904 rum e$$e de brutis omnibus, quorum pedes in$i$tunt terr&aelig; ad rectos
22d6a63640c6 moved 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 angulos, $pin&atilde; pedibus tanquam columnis ad rectos etiam $uperemi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8906 nere. Hinc cau$am collige, cur $int nonnulla ex his tam apta ferendis
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
8907 $arcinis &amp; oneribus. Hinc quoque, $i vis, collige cau$am, cur baiuli
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
8908 Pari$ien$es onera tanta $uis harpagonibus: al&yuml; $portulis ferant, nimi-
22d6a63640c6 moved 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 rum cum ita componant $pinam, vt antror$um reclinata moles $u-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8910 <p n=>199</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8911 <I>perna corporis &aelig;quiponderet onere &amp; viribus oneri impo$ito hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8912 meris, &amp; ita tamen vt ambo cum femoribus &amp; tibiis, tali$que recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8913 in$istant ad terram ad angulos rectos, adiectis ad ea firmitatis $ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8914 tionis gratia, tanquam ba$is &amp; fundamenti, tar$o, pedio, &amp; digitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8915 pedum. Sic enim moles $uperni corporis, &amp; onus habent aliquid ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8916 perpendiculum inferiorum partium, quod $e $uffulciat. Totu$que 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
8917 iulus cum onere, quod gestat instar turbinis, aut coni vertice terr&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
8918 incumbit, ba$i $upereminente. Hinc etiam collige cur baiulis cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8919 onere a$cen$us graduum facilior e$t: quam de$cen$us. In a$cen$u enim
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
8920 quantum antror$um $e incuruent, nullum inde illis ca$us periculum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8921 at in de$cen$iu vel exigua illis curuatura periculum adfert, ex quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8922 eti&atilde;rar&ograve; videas, ni$i ebiberint plus paul&ograve;, baiulos c&utilde; onere de$cendere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8923 a$cendere autem, quoties opus e$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8924 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8925 <P>32. Cur commotum faci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8926 lius moueatur, qu&atilde; quie$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8927 cens.</P>
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casties
parents:
diff changeset
8928 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8929 <P>Cur commotum facilius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8930 moueatur: quam quie$c&etilde;s,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8931 velut plau$tra commota ci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8932 tius agitant: quam incipi&etilde;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8933 tia moueri. An quia quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8934 mouetur p&otilde;dus in contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8935 rium mouere difficillim&utilde;.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8936 Aufertur enim aliquid de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8937 potentia motoris, licet ip$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8938 mult&ograve; fuerit velocior. Ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8939 ce$$e e$t enim impul$ion&etilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8940 eius, quod repellitur, fieri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8941 tardiorem. Deinde ver&ograve; $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8942 quieuerit. Quie$cens enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8943 re$i$tit. Quod ver&ograve; motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8944 e$t, e&ograve; qu&ograve; impellitur, $imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8945 le quid impellenti facit, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8946 $i quis vim &amp; celeritatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8947 motoris augeret, quod etiam ab illo pateretur. hoc 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
8948 facitid, quod in via commotum e$t.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8949 <p n=>200</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8950 <head>COMMENTARIVS.</head>
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>Cvr commotum.] <I>Commotum h&icirc;c ita capi debet, vt e&ograve;, 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
8952 moueatur, impellatur: non contra, quod ex re$pon$ione colligere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8953 facil&egrave; erit. Qu&aelig;$tio igitur e$t, cur commotum facilius moueatur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8954 quam quie$cens. qu&aelig; illu$tratur exemplo curruum, quos iam commo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8955 tos facilius e$t continuare in motu, quam quie$centibus motionis ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8956 tium dare. Illu$trari etiam po$$et exemplo nauium.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8957 <P>An quia quod mouetur.] <I>Re$pon$io ad qu&aelig;$tionem $ic con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8958 cludi pote$t.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8959 <P><I>Motoris vim &amp; celeritatem augens pondus, facilius impellitur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8960 contr&agrave; diminuens tardius.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8961 <P><I>Pondus motum e&ograve;, qu&ograve; impellitur, motoris vim &amp; celerita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8962 tem auget, &amp; $imile quid $uo impul$ori iam facit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8963 <P><I>Contr&agrave; quie$cens, quia ali&ograve; nititur, &amp; motu occulto in contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8964 rium: quam qu&ograve; impellitur tendit, diminuit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8965 <P><I>Commotum igitur facilius mouetur: quam quie$cens.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8966 <P><I>Quod autem quie$cens vim motoris diminuat, patet. quia $i $ineretur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8967 nec impelleretur, exempli gratia, $ur$um, vel lateraliter, natura $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8968 $ublato impedimento rect&agrave; deor$um ferretur. Erg&ograve; qua vie&ograve; moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8969 retur, eadem re$i$tit, ne $ur$um vellateraliter impellatur. Re$istere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8970 autem motori, diminuere e$t eius vim in mouendo. Im&ograve; vera e$t illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8971 propo$itio. Ab &aelig;quali aut minore vi quam $it impedimentum non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8972 fit motus. Sit enim A B C D
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8973 quod re$istat per decem ne $ur$um</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
8974 <fig>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8975 <I>trahatur. Dico quod $ur$um non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8976 trahetur, neque per 10. neque per 9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8977 &amp;c. Nam $ub$tracto impedimento,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8978 quod impedit ne A deor$um fera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8979 tur, eo ferretur vt 10. Quod $i eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8980 dem tempore $ur$um trahatur &agrave; vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8981 qu&aelig; $it etiam vt 10. tunc tantum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8982 mouebitur deor$um: quantum $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8983 $um, quie$cet igitur. Si ver&ograve; $ur$um trahatur &agrave; vi minore, vt nouem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8984 quia &agrave; maiore vi deor$um fertur, non $ur$um: $ed deor$um $impliciter</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8985 <foot><I>feretur.</I></foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8986 <p n=>201</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8987 <I>feretur. Pr&aelig;terea alia etiam demon$tratione qu&aelig;$tio ab Aristotele
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8988 propo$ita concludi pote$t. $ic,</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8989 <P><I>Omne duobus motibus ad diuer$a tendentibus commotum, 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
8990 t&ograve; minus vno mouetur: quant&ograve; magis altero. quia vis 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
8991 aliqu&ograve; mouet plus: plus etiam ob$i$tit, &amp; $ic retardat &amp; in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8992 fringit vim, qu&aelig; ali&ograve; mouet.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8993 <P><I>Sed currus exempli gratia iam commotus, vel incipiens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8994 moueri, mouetur tum motu naturali deor$um, tum vio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8995 lento ad latus.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8996 <P><I>Ergo quant&ograve; magis hoc mouebitur, minus mouebitur illo: &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
8997 contra.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
8998 <P><I>Atqui iam commotus plus mouetur violento. Tunc igitur minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
8999 naturali: contra incipiens moueri, plus naturali. Tunc igitur minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9000 violento. Ergo commotus facilius mouebitur: quam quie$cens vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9001 incipiens moueri.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9002 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9003 <P>33. Cur proiecta lata ce$-
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
9004 $ant.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9005 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9006 <P>Cur proiecta lata ce$$ant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9007 An vis impellens de$init,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9008 vel propter reuul$ion&etilde;, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9009 propter inclinationem rei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9010 proiect&ecedil;, $i vim proiicientis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9011 $uperauerit. An ab$urdum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9012 de eo dubitare e$t eum, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9013 principium relinquit.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9014 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9015 <P>Cvr proiecta.] <I>Proiecta dicuntur, qu&aelig; manu, funda, arcu, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9016 ali&ograve; in$trumento $ur$um, vel ad latus, vel etiam deor$um vio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9017 lenter feruntur. Qu&aelig;ritur igitur cur proiecta tandem moueri de$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9018 nant. H&icirc;c re$pondet, quia $ublata cau$a ce$$at effectus. Cau$a autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9019 lationis in proiectis e$t vis impellens &agrave; primo motore impre$$a. Hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9020 Simplicius Ari$totelis interpres</I> <G>)<+>pipo/laian</G> <I>qua$i diceres $uperfi-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9021 <foot>Cc</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9022 <p n=>202</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9023 <I>ciariam appellat comment. in lib. 7. Phy$. H&aelig;c autem tollitur aut&agrave;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9024 re$i$tentia med&yuml; per quod fertur. Corpus enim e$t quod in $uo $eloco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9025 con$eruare nititur: aut &agrave; naturali grauitate ali&ograve;, qu&agrave;m qu&ograve; pro&yuml;ciun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9026 tur tendente. Vt enim calor &amp; frigus in $ubiectis non propr&yuml;s ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9027 quandiu manent: ita &amp; violenti motus impre&szlig;io illa. Et vt ferrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9028 quod diutius fuit in igne, diutius etiam calorem retinet: $ic ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9029 chinis longioribus emi$$a, quia vim illam magis impre$$am ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9030 bent, longius feruntur. quod certo indicio e$t vim &agrave; motore primo ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9031 quam in proiectis relinqui, qu&aelig; ad aliquod tempus manet. At tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9032 dem ob cau$as pr&aelig;dictas, perit. Et $ic qu&aelig;que ad naturam redeunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9033 $uam. Nec $i millies lapidem $ur$um proieceris: tamen vnquam $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9034 $um ferri a$$ue$cet. H&aelig;c enim qu&aelig; ine$t &agrave; natura grauitas, ne vis $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9035 $um mouens perfect&egrave; imprimatur, impedit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9036 <P>An ab$urdum.] <I>Altera cau$a videtur huc adferri ce$$ationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9037 in proiectis, aut $ublationis virtutis impellentis impre$$&aelig;. Si per prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9038 cipium intelligamus motorem, qui motus principium dedit, id e$t pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9039 mum motorem. Hic enim vbi emi$it, exempli gratia, telum, $epara-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9040 tur ab eo, nec amplius mouet: nihilominus tamen.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9041 <P>Hoc volat emi$$um $emel irreuo cabile telum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9042 <I>Sed obid tandem de$init &agrave; motione, quia licet vis aliqua impre$$a $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9043 per $it, qu&aelig; moueat adhuc, &agrave; primo motore non continuatur, ide&oacute;que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9044 perit. Ab$urdum e$t igitur dubitare de cau$a ce$$ationis proiecti cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9045 ip$um $uus motor de$erat. C&aelig;terum $agitta &amp; ha$ta &amp; quicquid
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9046 aliud tale e$t ten$a coria facilius, quam laxa penetrat quod illa qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9047 dem re$i$tunt: h&aelig;c autem cedentia paulatim eorum qu&aelig; incidunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9048 violentiam exoluunt, Gal. cap. 8. lib. 2. de v$. part.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9049 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9050 <P>34. Cur quidpiam non $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9051 latione fertur non con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9052 $equente impul$ore: $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9053 dimittente.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9054 <P><+></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9055 <P>Quare quidpiam non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9056 propria latione fertur, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9057 impul$or non con$equa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9058 tur: $ed dimittat. An quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9059 <p n=>203</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9060 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9061 quid tale facit, vt alterum
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diff changeset
9062 impellat, &amp; hoc alterum:
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diff changeset
9063 ce$$at ver&ograve; qu&atilde;do non am-
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diff changeset
9064 plius pote$t facere primum
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diff changeset
9065 impellens, vt id quod fer-
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diff changeset
9066 tur, impellat. Et quando
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casties
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diff changeset
9067 grauitas eius quod fertur
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diff changeset
9068 deor$um ruit magis: quam
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diff changeset
9069 antror$um impul$oris vis
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diff changeset
9070 po$$it impellere.</P>
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parents:
diff changeset
9071 <head>COMMENTARIVS.</head>
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diff changeset
9072 <P>Qvare quidpiam.] <I>Cum omne proiectum graue quid $it, ide&oacute;-
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diff changeset
9073 que natura tendens rect&agrave; deor$um. Qu&aelig;rit rur$us Ari$toteles:
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parents:
diff changeset
9074 $ed expre&szlig;ius quam ant&egrave;. Cur cum proiector non con$equatur proie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9075 ctum, ip$um non feratur potius $uo motu naturali: quam violento.
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casties
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diff changeset
9076 Cui vt re$pondeat ad cau$am pr&aelig;cedentem, vim $cilicet impre$$am
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diff changeset
9077 &agrave; primo motore ad&yuml;cit med&yuml;, per quod pro&yuml;citur antiperi$ta$im. Cum
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diff changeset
9078 enim proiectum primo antror$um dimouerit medium vt a&euml;rem, hic
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diff changeset
9079 $umma celeritate retr&ograve; proiectus, ne vacuum quid (quod abhorret
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
9080 natura) relinquatur, conuolat: &amp; $ic deinceps, ita vt quantum a&euml;r
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diff changeset
9081 anterior ob re$i$tentiam impediuit, factus po$terior cum concur$u
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
9082 violento motum iuuet, vt ce$$are non deberet motus ni$i anterioris
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diff changeset
9083 a&euml;ris ob$i$tentiam iuuaret, &amp; augeret maxim&egrave; grauitas naturalis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9084 quibus iunctis: vis tandem impellentis antror$um $uperatur, &amp; eua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9085 ne$cit: $icque ce$$at motus violentus, &amp; ni$i aliquod ad$it impedi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9086 mentum, incipit naturalis, quo deor$um rect&agrave; ruit.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9087 <P><+></P>
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casties
parents:
diff changeset
9088 <P>35. Cur neq; exigua, neque
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casties
parents:
diff changeset
9089 magna proiecta feruntur
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
9090 procul.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9091 <P><+></P>
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casties
parents:
diff changeset
9092 <P>Cur neq; exigua, neque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9093 magna proiecta procul 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
9094 runtur: $ed oportet corre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9095 <foot>Cc ij</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9096 <p n=>204</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9097 <+>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9098 $pondere quo d&atilde;modo 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
9099 ijcienti. An quia nece$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9100 e$t, id, quod proijcitur &amp;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9101 impellitur re$i$tere ei, vnde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9102 impellitur. Nihil ver&ograve; ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9103 dens propter magnitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9104 nem, vel nihil re$i$tens 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
9105 pter imbecillitatem, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9106 iact&utilde; facit, nec impul$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
9107 Illud quid&etilde;, quia magno-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9108 pere excedit vires impul$o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9109 ris, nequaquam cedit. Hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9110 ver&ograve; quia vald&egrave; imbecill&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
9111 nihil re$i$tit. An quia quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9112 fertur t&atilde;tum feratur: quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9113 tum a&euml;ris in profundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9114 mouerit. Non motum 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
9115 tem nec conting&etilde;s e$t mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9116 uere quicquam. Sic igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9117 vtraque $e habent, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9118 enim valde magn&utilde;, quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9119 que valde paruum, $eu nequaquam mota exi$tunt. Alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9120 rum enim nihil mouet: alterum nequaquam mouetur.</P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9121 <head>COMMENTARIVS.</head>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9122 <P>Cvr neque exigua.] <I>Exigua &amp; magna vocabula $unt in re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9123 latis, &amp; qu&aelig; intelligi, vt ante dictum e$t, non po$$unt ni$i rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9124 tione facta ad aliud, ad quod referuntur. Magna igitur $unt, qu&aelig; vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9125 res pro&yuml;cientis valde excedunt: exigua vero, qu&aelig; viribus nullo modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9126 re$i$tunt, vel qu&aelig; ade&ograve; imbecilla $unt, vt nullam vim mouendi, ne
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9127 a&euml;rem quidem habeant. Et $ic grana milij quamuis $int exigua mole:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9128 exigua tamen viribus dici non debent, cum &egrave; certo interuallo &agrave; quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9129 dam per foramen acus proiicerentur, nec rur$us magna licet mole e$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9130 $ent, magna erant ad vires $axa illa tritalantaria, telaque mi&szlig;ilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9131 duodeuiginti pedum, qu&aelig; recitat Athen&aelig;us facile eiaculata fui$$e ad</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9132 <p n=>205</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9133 <I>quadringentos cubitos, quod $patium e$t $tadij, per machinam, qu&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9134 erat in medio cata$tromate $uper tripodes excitata, illius immen$&aelig;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9135 nauis, de qua antea diximus. Qu&aelig;ritur igitur, cur exigua vt pluma,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9136 &amp; magna vt mola, vel lapis ingens proiecta non procul ferantur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9137 $ed qu&aelig; $ic ferri debent, debeant corre$pondere proiicienti, id e$t ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9138 bere rationem quandam, ita vt motor vel per$e, vel cum alio pr&aelig;-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9139 polleat mouendo. In textu notabis</I> <G>summebi/an</G> <I>poni pro</I> <G>an)alogi/a.</G></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9140 <P>An quia nece$$e e$t.] <I>Prima re$pon$io breuiter $ic concludi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9141 pote$t. Oportet proiiciendum cedere proiectori, &amp; etiam re$i$tere.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9142 <P><I>Magnum non cedit, quia excedit vires proiectoris.</I></P>
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casties
parents:
diff changeset
9143 <P><I>Exiguum non re$i$tit, quia imbecillum.</I></P>
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casties
parents:
diff changeset
9144 <P><I>Neutrum igitur proiectum fertur, nedum procul.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9145 <P><I>Propo$itionis huius $yllogi$mi prior pars per$e clara e$t, &amp; illu$trata
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casties
parents:
diff changeset
9146 etiam ijs qu&aelig; &agrave; nobis cap. 32. dicta $unt. Po$terior de re$i$tentia etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9147 vera e$t, quia $i mobile motori non re$i$tat, motus non fiet in tempo-
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casties
parents:
diff changeset
9148 re, &amp; $ucce&szlig;ione.: $ed in in$tanti quod e$t contra demon$trata ab
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casties
parents:
diff changeset
9149 Ari$totele lib. 4. de Phi$ico audit. Vim enim motoris, $i nihil retar-
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casties
parents:
diff changeset
9150 dat, quare non ageret ilico? vnde ne tran$latio $ubita latorum fiat,
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casties
parents:
diff changeset
9151 non $olum forma tran$lati obe$t: $ed &amp; medium per quod fertur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9152 quod quanquam tenue &amp; diaphanum $it, vt a&euml;r, e$t tamen corpus.
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diff changeset
9153 E$t itaque h&aelig;c propo$itio vera. Pr&aelig;terea vt &amp; hoc demon$tretur ad
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diff changeset
9154 $en$um, $i $corpioni vel arcuballi$t&aelig; palea loco $agitt&aelig; $uperpona-
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diff changeset
9155 tur, pr&aelig;ter id quod ictum nullum faciet, etiam parum long&egrave;
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diff changeset
9156 emi$$a procedet. Quod $i graui$simum $piculum, etiam lentius &amp;
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diff changeset
9157 minus long&egrave; emittetur. E$t igitur aliquod medium optimum,
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diff changeset
9158 vbi extrema ambo vitio non carent.</I></P>
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diff changeset
9159 <P>An quia quod fertur.] <I>Altera re$pon$io $ic concludi pote$t.</I></P>
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diff changeset
9160 <P><I>Quantum quidque a&euml;ris mouerit, tantum feretur: &amp; $i igitur
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diff changeset
9161 non mouerit, non feretur.</I></P>
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diff changeset
9162 <P><I>Magnum quia immotum non mouet aerem: imbecillum
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diff changeset
9163 quia etiam immotum.</I></P>
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diff changeset
9164 <P><I>Neutrum igitur feretur.</I></P>
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diff changeset
9165 <P><I>Propo$itio rur$us h&aelig;c vera e$t, quia cum alioqui penetratio dimen-
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diff changeset
9166 $ionum fieret, ferri nihil pote$t, ni$i medium per quoa fertur, cedat
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diff changeset
9167 locum: alioqui medium puta aer, &amp; id quod fertur, e$$ent in vno.</I></P>
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diff changeset
9168 <foot>Cc iij</foot>
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diff changeset
9169 <p n=>206</p>
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diff changeset
9170 <P><+></P>
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diff changeset
9171 <P>36. Cur lata in vortice
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diff changeset
9172 aquarum ad medium de-
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diff changeset
9173 uoluuntur.</P>
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diff changeset
9174 <P><+></P>
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diff changeset
9175 <P>Cur lata in vortice aqua-
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diff changeset
9176 rum omnia tandem ad me-
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diff changeset
9177 dium deuolu&utilde;tur. An quia
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diff changeset
9178 quod fertur magnitudin&etilde;
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9179 habet: vt $it in duobus cir-
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diff changeset
9180 culis partim quidem in mi-
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diff changeset
9181 nore: partim ver&ograve; in maio-
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diff changeset
9182 re. Vtrumque ip$ius extre-
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diff changeset
9183 m&utilde;. Itaque maior circum-
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diff changeset
9184 uellit, quia celerius fertur,
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diff changeset
9185 &amp; per tran$uer$um impel-
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diff changeset
9186 lit ip$um ad minor&etilde;. Quo-
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diff changeset
9187 niam vero id quod fertur
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diff changeset
9188 latitudinem habet: ill&eacute;que
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diff changeset
9189 rur$us idem facit, &amp; pro-
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diff changeset
9190 pellit ad interior&etilde;, quou$-
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diff changeset
9191 que ad medium peruene-
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9192 rit. quia quod fertur, $imi-
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diff changeset
9193 liter $e habet ad omnes cir-
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9194 culos ob medium. Etenim
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diff changeset
9195 ip$um in vnoquoque circulorum &aelig;qualiter di$tat.</P>
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diff changeset
9196 <head>COMMENTARIVS.</head>
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9197 <P>Cvr lata in vortice.] <G>*dino/m<+>uon u(/dw<+></G> <I>$eu</I> <G>di/nh</G> <I>Latinis vor-
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9198 texaqu&aelig;, &amp; gurges. Locus e$t profundus in flumine in quo
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diff changeset
9199 aqua vertitur, $ic dictus quod gul&aelig; in$tar ad $e trahat, &amp; deuoret.
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diff changeset
9200 Innatantia enim $eu grauia vt nauim: $eu leuia vt plumam, $tatim
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diff changeset
9201 atque ad medium $ui adduxit, tam rapid&egrave; $ummergit, vt in momen-
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diff changeset
9202 to nu$quam videas. Ari$toteles in hoc loco pr&aelig;$upponit</I> <G><+>)n di/nh su/-
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diff changeset
9203 <+>ofas t<+> u(da/twn</G> <I>vortices aquo$os e$$e multos circulos concen-
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diff changeset
9204 tricos, quorum vt continens maior e$t contento: ita $emper celerius</I>
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diff changeset
9205 <p n=>207</p>
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diff changeset
9206 <I>ferri. quod quam verum $it, postea docebimus, vbi problema cum
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diff changeset
9207 $uis cau$is ex mente Ari$tote-
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diff changeset
9208 lis explicuerimus. Qu&aelig;ritigi-</I>
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diff changeset
9209 <fig>
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diff changeset
9210 <I>tur Aristoteles cur qu&aelig; fe-
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diff changeset
9211 runtur in vortico$a aqua, om-
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9212 nia tandem ad medium deuol-
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diff changeset
9213 uantur. Sit igitur A medium
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diff changeset
9214 aqu&aelig; per circulos B C D,
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parents:
diff changeset
9215 E F G, H I K, L M N,
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casties
parents:
diff changeset
9216 O P Q volut&aelig;: $it &amp; vt
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diff changeset
9217 nauis R feratur per vorticem
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diff changeset
9218 B C D.</I></P>
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parents:
diff changeset
9219 <P><I>Dico quod ad A medium
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diff changeset
9220 deuoluetur.</I></P>
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diff changeset
9221 <P>An quia quod fertur.] <I>Prima e$t</I> <G>tou_ dio<+>i/smou_</G> <I>problematis
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parents:
diff changeset
9222 propo$iti demonstratio. qu&aelig; $ic concludetur.</I></P>
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diff changeset
9223 <P><I>Habentis latitudinem $i extrem&utilde; vnum celerius feratur: quam
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parents:
diff changeset
9224 alterum, quod celerius fertur, truditur ad locum tardioris.
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diff changeset
9225 per tran$uer$um enim &agrave; celerius moto impellitur.</I></P>
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diff changeset
9226 <P><I>Innatans omne in aqua vortico$a, vt nauis, latitudinem
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diff changeset
9227 habet, &amp; eius extremum quod in exteriori circulo e$t,
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diff changeset
9228 celerius fertur: quam quod in interiori. Circulus enim
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casties
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diff changeset
9229 maior celerius fertur. Exterior autem maior e$t.</I></P>
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diff changeset
9230 <P><I>Ergo innatans trudetur ad locum tardioris id e$t in interiorem
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diff changeset
9231 circulum, vt &agrave; B ad E &amp; ab E ad H, &amp; ab H ad L, &amp;
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diff changeset
9232 ab L ad O, &agrave; quo tandem ad A medium.</I></P>
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diff changeset
9233 <P><I>Similiter enim $e habet innatans ad omnes circulos vorticis ob me-
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diff changeset
9234 dium, quod &agrave; $ingulis &aelig;qualiter distat.</I></P>
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diff changeset
9235 <P>Quia quod fertur.] <I>Ex hoc loco expunximus vocabula h&aelig;c
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diff changeset
9236 $ine v$u &amp; magna c&otilde;fu$ione interiecta</I> <G>kai\ to\ te m<+>o\ ei)</G> <I>nec pro</I> <G>ei)</G> <I>re-
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diff changeset
9237 ponimus</I> <G>h)\</G> <I>quod faciunt aliqui huius loci interpretes, ex hoc attin-
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diff changeset
9238 gentes $ecundam cau$am problematis, quod $cilicet omnia finem mo-
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diff changeset
9239 tus, id e$t quietem appetant, ideo ferri ad locum quietis, qui medius
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diff changeset
9240 e$t in vortice. qu&aelig; vt vera e$$ent, non video tamen exprimi po$$e
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9241 ex hoc Ari$totelis contextu, qui $uperioris demonstrationis comple-
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diff changeset
9242 mentum e$t, vt patuit.</I></P>
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diff changeset
9243 <foot>An quia</foot>
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casties
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diff changeset
9244 <p n=>208</p>
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casties
parents:
diff changeset
9245 <P><+></P>
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casties
parents:
diff changeset
9246 <P>An quia qu&aelig; quidem la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff changeset
9247 tio vorricis aqu&aelig; n&otilde; vin cit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9248 ob magnitudinem: $ed ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9249 cellunt grauitate celeritat&etilde;
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casties
parents:
diff changeset
9250 circuli, illa nece$$e e$t &amp;
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casties
parents:
diff changeset
9251 tardius ferri. Minor autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9252 circulus tardius fertur. 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
9253 enim idem $pati&utilde; in &ecedil;quali
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parents:
diff changeset
9254 tempore magnus &amp; paruus
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casties
parents:
diff changeset
9255 circulus voluitur, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9256 do fuerint circa idem me-
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parents:
diff changeset
9257 dium. Itaque ad mino-
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casties
parents:
diff changeset
9258 rem circul&utilde; vt de$inat 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
9259 ce$$e e$t, quou$que ad me-
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casties
parents:
diff changeset
9260 dium venerit. Qu&ecedil;cunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9261 ver&ograve; latio prius vincit, fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9262 niens idem faciet. Oportet
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parents:
diff changeset
9263 enim vt alter&utilde; quidem $ta-
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parents:
diff changeset
9264 tim celeritate grauitatem:
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casties
parents:
diff changeset
9265 alterum ver&ograve; grauitate ce-
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parents:
diff changeset
9266 leritatem vincat, vt omnis
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parents:
diff changeset
9267 ad interiorem circul&utilde; $em-
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parents:
diff changeset
9268 per relinquatur. Nece$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9269 enim ip$um quod non vin-
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casties
parents:
diff changeset
9270 citur intr&ograve; vel foras moue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9271 ri. In ip$o ver&ograve; in quo e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff changeset
9272 non pote$t f<*>, cum non
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casties
parents:
diff changeset
9273 vincatur: mni &ograve; minus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9274 exteriori. La<*>io enim exte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9275 rioris circuli celerior e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9276 Re$tat vt<*> quod non vin-
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parents:
diff changeset
9277 cit, ad interiorem transfe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9278 ratur. Semper enim nititur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9279 quo dlibet, ne vincatur. quoniam terminus, qui e$t non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9280 moueri, facit ad medium venire. Quie$cit enim $olum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9281 centrum, ad quod omnia nece$$e e$t congregari.</P>
22d6a63640c6 moved 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 <foot>COMMEN-</foot>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9283 <p n=>209</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9284 <head>COMMENTARIVS.</head>
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casties
parents:
diff changeset
9285 <P>An quia qu&aelig; quidem.] <I>Altera e$t eiu$dem</I> <G>dio<+>ismou_</G> <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
9286 blematis demon$tratio. qu&aelig; $ic concludetur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9287 <P><I>Innatantia in vortice latio vortico$a aqu&aelig; vincit, vel non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9288 vincit. Si non vincat ob grauitatem, qu&aelig; excedit celeritatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9289 circuli, non ferentur in eo, in quo $unt circulo. quia latio vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9290 tico$&aelig; aqu&aelig; vinceret. Mult&ograve; minus in maiori. Relinquitur er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9291 g&ograve;, vt in minori id e$t interiori, vt qui tardior $it, ferantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9292 &amp; $imili ratione ab hoc quou$que ad medium veniant.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9293 <P><I>Si ver&ograve; vincat, vt primum quidem vincat, tandem tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9294 non vincit. Oportet enim vt mod&ograve; h&aelig;clatio grauitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9295 innatantium celeritate $ua vincat: mod&ograve; ip$a innatantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9296 $ua grauitate celeritatem lationis vortico$&aelig; aqu&aelig; vin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9297 cant. Vnumquodque enim nititur $emper, ne vincatur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9298 <P><I>Et $ic idem fiet, quod ante: vt innatantia ad interiorem feran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9299 tur, &amp; ad eum denique terminum, in quo violentia vorticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9300 non amplius voluantur. Hic autem terminus medium e$t vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9301 ticis ad quod omnia congregantur.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9302 <P><I>Innatantia igitur in aqua vortico$a ad medium deuoluuntur. quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9303 fuit demon$trandum.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9304 <P><I>Hactenus fuerunt du&aelig; demon$trationes Ari$totelis, qu&aelig; vt dixi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9305 pr&aelig;$upponunt gurgitis vortices e$$e circulos concentricos, quod fal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9306 $um e$t, quia $unt linea $piralis vnius aut plurium reuolutionum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9307 Pr&aelig;terea nullam mentionem facit decliuitatis $uperficiei aqu&aelig; vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9308 tico$&aelig; ver$u<*>edium, qu&aelig; res maxim&egrave; confert ad de$cen$um rei in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9309 natantis, &amp; eiu$dem deuolutionis ad medium. Ibi enim $pecus 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
9310 dam $ub aquis <*>erra latet, qu&aelig;</I> <G>a)/<+>u<+>os</G> <I>qua$i</I> <G>a)neu bu/<+>ou</G> <I>$ine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9311 fundo dicta e$t. <*> in quam tanquam ex alto confluunt magna ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9312 leritate aqu&aelig;. Indicium huius e$t, quod pluma innatans ad hoc exa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9313 ct&egrave; medium cum delata e$t, $tatim ab$orbetur, tracta $cilicet de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9314 $u aqu&aelig;: alioqui natura leuior infra aquam non de$cendet, tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9315 tum abe$t, vt qu&aelig; grauia $unt non ibi $ubit&ograve; $ummergantur. His
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9316 ita po$itis demon$tratio problematis Aristotelici e$t facilis &amp;
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casties
parents:
diff changeset
9317 breuis.</I></P>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9318 <foot>Dd</foot>
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casties
parents:
diff changeset
9319 <p n=>210</p>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9320 <P><I>Sit A inte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9321 rius extremum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9322 <fig>
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casties
parents:
diff changeset
9323 &amp; B exterius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9324 line&aelig; $piralis A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9325 B plurium reuo-
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casties
parents:
diff changeset
9326 lutionum, in ex-
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casties
parents:
diff changeset
9327 tremo B $it na-
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casties
parents:
diff changeset
9328 uis C. Dico quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9329 C feretur ad A,
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casties
parents:
diff changeset
9330 &amp; in$uper quod
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casties
parents:
diff changeset
9331 cum erit in A
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casties
parents:
diff changeset
9332 $ummergetur in-
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casties
parents:
diff changeset
9333 tra aby$$um A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9334 E.</I></P>
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casties
parents:
diff changeset
9335 <P>Demon$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9336 <I>Innat&atilde;s in vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9337 tico$a aqua fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff changeset
9338 tur ad motum
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diff changeset
9339 vnd&aelig; impul$&aelig;,
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diff changeset
9340 vel tract&aelig;.</I></P>
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diff changeset
9341 <P><I>At aqua vortico$a fertur $ecundum lineam $piralem ad eius interius
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diff changeset
9342 medium. E&ograve; enim &amp; decliuitas, &amp; aby$$us trahunt.</I></P>
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diff changeset
9343 <P><I>Erg&ograve; innatans vt C in B principio vortico$&aelig; aqu&aelig; ad medium
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diff changeset
9344 interius A deuoluetur, &amp; ibi propter tractum con$ecutio-
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diff changeset
9345 nemque aqu&aelig;, tum &amp; naturalemrei innatantis grauitatem
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diff changeset
9346 rect&agrave; deor$um ruet per aby$$um A E. quod erat demon-
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diff changeset
9347 $trandum.</I></P>
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diff changeset
9348 <P><I>Ex hac conclu$ione elici debet monitum, quod nauigantibus vti-
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diff changeset
9349 li&szlig;imum e$t, vitandos $cilicet illis vortices aquarum tanquam $copu-
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diff changeset
9350 los, qualem referunt in Noruergi&aelig; Oceani inter Roe$t &amp; Loffoet
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diff changeset
9351 maximum e$$e, qui naues $ecum in profundum trahat: &amp; ad hos, $i
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diff changeset
9352 forte impegerint (quod $entient $i deprehenderint nauim $uam $ine
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diff changeset
9353 cau$a alia, vt eius venti, qui Typh&otilde;, vel Ecnephias dicitur,) circum-
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diff changeset
9354 agi, primo quoque tempore adhibitis omnibus remis veli$que eniten-
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diff changeset
9355 dum ab his $piris $e$e excludere. paul&ograve; enim pluribus implicati nullis
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
9356 viribus $e$e liberabunt. H&icirc;c enim illud poet&aelig; veri&szlig;imum.</I></P>
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diff changeset
9357 <p n=>211</p>
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diff changeset
9358 <head>Facilis de$cen$us Auerni:</head>
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diff changeset
9359 <P>Sed reuocare gradum, $upera$que euadere ad auras,
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diff changeset
9360 Hocopus hic labor e$t.</P>
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diff changeset
9361 <P><I>Sed rur$us de vorticibus h&aelig;c qu&aelig; $unt apud Cardanum cap. 6. lib. 1.
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diff changeset
9362 de variet. rerum $citu digna $unt. Trahi quide naues, inquit, ac c&aelig;-
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diff changeset
9363 tera velut Typhone vento haud ab$urdum in vorticibus: vortices
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diff changeset
9364 quoque e$$e haud dubium e$t: at quomodo de$icendens aqua di$tribua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff changeset
9365 tur, non ade&ograve; per$picuum e$t, cum $emper in humiliora feratur. Imo
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diff changeset
9366 autem vortice quo modo quicquam humilius e$$e po&szlig;it, non facile
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diff changeset
9367 o$tendere. videtur autem mihi vortex non ad infima de$cendere:
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diff changeset
9368 $ed potius ad ea loca, ex quibus pateat exitus: Nam &amp; vi vento-
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diff changeset
9369 rum aliquando propellitur loco cedens. Quamuis etiam ad infima de$-
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diff changeset
9370 cendat, per$&aelig;pe tamen non attingit fundi libramentum: aut $i infe-
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diff changeset
9371 rius etiam de$cendit, aliqu&ograve; exitus patet. Terra $cilicet, vt hoc ad-
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parents:
diff changeset
9372 dam, exi$tente hoc in loco cuniculo$a &amp; per longi&szlig;imum canalem
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parents:
diff changeset
9373 aliquam in $pecum $e$e exonerante.</I></P>
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diff changeset
9374 <P><I>Habes nunc, candide lector, opus Ari$totelis magna $ubtilitate,
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parents:
diff changeset
9375 &amp; iucunda $ubtilitatum in rebus Mechanicis contemplatione, re-
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diff changeset
9376 fertum, &amp; multis ob rerum principiorumque tractatorum ob$cu-
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diff changeset
9377 ritatem &amp; ob contextus Gr&aelig;ci corruptionem difficultatibus ob-
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diff changeset
9378 $tructum, no$tra opera &amp; iudicio, vt $pero, ita re$eratum, &amp; &agrave; men-
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diff changeset
9379 dis quibus propemodum infinitis $catebat, liberatum: vt po$th&aelig;c vel
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diff changeset
9380 mediocriter geometricis imbutus vel ne imbutus quidem hunc
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parents:
diff changeset
9381 legere &amp; intelligere &amp; voluptatem ac vtilitatem ex eo capere
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parents:
diff changeset
9382 po$sis. quinetiam in $cholis vulgari&utilde; illorum philo$ophorum, qui pa-
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parents:
diff changeset
9383 rum ab$unt, vt omnin&ograve;</I> <G>a)gewme/t<+>h<+>oi</G> <I>non $int, locum eum obtine-
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parents:
diff changeset
9384 re po$sit, quem c&aelig;teri qui ab hoc natur&aelig; &amp; artis etiam omnis atque
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diff changeset
9385 indu$tri&aelig; genio libri prodierunt, qu&eacute;mque &yuml;, qui ab illis public&egrave; le-
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parents:
diff changeset
9386 guntur &amp; explicantur. Quod in numinis diuini bonorum omnium
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diff changeset
9387 largitoris gloriam: Henrici IIII. Regis nostri augu$ti$simi perpe-
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9388 tuum decus: Ari$totelis libri huius authoris famam atque authori-
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parents:
diff changeset
9389 tatem maiorem: Reipub. denique no$tr&aelig; literari&aelig; vtilitatem cedat,
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parents:
diff changeset
9390 de$idero.</I></P>
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9391 <head>FINIS.</head>
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9392 <P>C&oelig;lo re$tatiter: C&oelig;lo tentabimusire.</P>
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diff changeset
9393 <pb>
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9394 <head>ERRATA.</head>
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9395 <head>In corrigendis primus numerus paginam,
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diff changeset
9396 Secundus lineam indicat. In his leges.</head>
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9397 <P><I>6.28. hominum 7.11. engibatis 8.11. vtilitatem 8.22.</I> Hanc $ed
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parents:
diff changeset
9398 10.4. <I><G>ow)to/ma<+></G> 11.17. vinum. 11.19. cucurbitul&aelig; 12.5. nullus
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9399 18.19. intr&ograve; 19.27. quintupedalis 30.15. dimetientem 30.33. duas
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diff changeset
9400 36.1. radiorum 37.5.</I> <G>e)f) ou_</G> <I>39. littera</I> <G>w</G> <I>debet intelligi in angu-
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diff changeset
9401 lonon $ignato parallelogrammi</I>
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parents:
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9402 <fig>
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parents:
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9403 <G>uzq</G> 48.9. <G><+>i/on</G> 77.10.
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9404 <I>quadrupedibus 81. dee$t figura
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9405 96.12.</I> <G>a)su/sa<+></G> <I>142.24. Epi-
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parents:
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9406 grammatis 167.32. per 182.
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9407 tota pagina vbi e$t litera</I> <G>z</G> <I>re-
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9408 ponenda littera</I> <G><+></G> 190.13. <G>tou_
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9409 bar/ous.</G></P>
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diff changeset
9410 <P><I>In contextu Gr&aelig;co omi$imus de indu$tria diagrammata Vve-
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diff changeset
9411 cheli, partim par$imonia $umptuum, partim quod po$ata in commen-
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diff changeset
9412 tar&yuml;s eorum vtcumque vicem $upplerent. Si indigeas, ab eo re-
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9413 petere licet.</I></P>