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annotate texts/archimedesOldCVSRepository/archimedes/raw/vitru_archi_01_la_1567.raw @ 31:edf6e8fcf323 default tip
Removing DESpecs directory which deserted to git
| author | Klaus Thoden <kthoden@mpiwg-berlin.mpg.de> |
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| date | Wed, 29 Nov 2017 16:55:37 +0100 |
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1 <?xml version="1.0"?> |
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2 <!DOCTYPE archimedes SYSTEM "/home/bcfuchs/newcvs/dtd/archimedes.dtd" > |
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3 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> |
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4 <info> |
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5 <author>Vitruvius Pollio</author> |
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6 <title>De Architectura</title> |
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7 <date>1912</date> |
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8 <place>Leipzig</place> |
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9 <translator/> |
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10 <lang>la</lang> |
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11 <cvs_file>vitru_archi_01_la_1567.xml</cvs_file> |
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12 <cvs_version/> |
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13 <locator>?</locator> |
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14 </info> |
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15 |
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16 <text> |
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17 <front/> |
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18 <body> |
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19 <chap> |
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20 <p type="head"><s>LIBER PRIMUS</s></p> |
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21 <subchap1> |
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22 <subchap2><p type="main"><s> |
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23 Cum divina tua mens et numen, imperator Caesar, imperio potiretur orbis terrarum invictaque virtute cunctis |
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24 hostibus stratis triumpho victoriaque tua cives gloriarentur |
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25 et gentes omnes subactae tuum spectarent nutum populusque Romanus et senatus liberatus timore amplissimis tuis |
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26 cogitationibus consiliisque gubernaretur, non audebam, |
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27 tantis occupationibus, de architectura scripta et magnis |
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28 cogitationibus explicata edere, metuens, ne non apto tempore interpellans subirem tui animi offensionem. |
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29 </s></p></subchap2> |
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30 <subchap2><p type="main"><s> |
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31 Cum vero attenderem te non solum de vita communi omnium curam |
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32 publicaeque rei constitutione habere sed etiam de opportunitate publicorum aedificiorum, ut civitas per te non |
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33 solum provinciis esset aucta, verum etiam ut maiestas |
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34 imperii publicorum aedificiorum egregias haberet auctoritates, non putavi praetermittendum, quin primo quoque |
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35 tempore de his rebus ea tibi ederem, ideo quod primum |
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36 parenti tuo [de eo] fueram notus et eius virtutis studiosus. </s><s>cum autem concilium caelestium in sedibus inmortalitatis |
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37 eum dedicavisset et imperium parentis in tuam potestatem |
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38 transtulisset, idem studium meum in eius memoria permanens in te contulit favorem. |
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39 </s></p> |
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40 <p type="main"><s> |
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41 Itaque cum M. </s><s>Aurelio et P. </s><s>Minidio et Gn. </s><s>Cornelio ad apparationem ballistarum |
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42 et scorpionum reliquorumque tormentorum refectionem |
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43 fui praesto et cum eis commoda accepi, quae, cum primo |
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44 mihi tribuisti recognitionem, per sororis commendationem servasti. |
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45 </s></p> |
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46 </subchap2> |
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47 <subchap2><p type="main"><s> |
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48 Cum ergo eo beneficio essem obligatus, ut ad |
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49 exitum vitae non haberem inopiae timorem, haec tibi |
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50 scribere coepi, quod animadverti multa te aedificavisse |
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51 et nunc aedificare, reliquo quoque tempore et publicorum et |
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52 privatorum aedificiorum, pro amplitudine rerum gestarum |
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53 ut posteris memoriae traderentur, curam habiturum. </s><s>conscripsi praescriptiones terminatas, ut eas attendens et ante |
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54 facta et futura qualia sint opera per te posses nota habere; |
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55 namque his voluminibus aperui omnes disciplinae rationes. |
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56 </s></p></subchap2> |
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57 </subchap1> |
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58 <subchap1> |
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59 <subchap2><p type="main"><s> |
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60 Architecti est scientia pluribus disciplinis et variis |
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61 eruditionibus ornata, cuius iudicio probantur omnia quae |
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62 ab ceteris artibus perficiuntur opera. </s><s>ea nascitur ex fabrica et ratiocinatione. </s><s>fabrica est continuata ac trita |
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63 usus meditatio, quae manibus perficit[ur] e materia cuiuscumque generis opus [est] ad propositum deformationis. </s><s>ratiocinatio autem est, quae res fabricatas sollertiae ac |
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64 rationis pro demonstrare atque explicare potest. |
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65 </s></p></subchap2> |
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66 <subchap2><p type="main"><s> |
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67 Itaque architecti, qui sine litteris contenderant, ut manibus |
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68 essent exercitati, non potuerunt efficere, ut haberent pro |
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69 laboribus auctoritatem; qui autem ratiocinationibus et |
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70 litteris solis confisi fuerunt, umbram non rem persecuti |
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71 videntur. </s><s>at qui utrumque perdidicerunt, uti omnibus |
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72 armis ornati citius cum auctoritate, quod fuit propositum, sunt adsecuti. |
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73 </s></p></subchap2> |
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74 <subchap2><p type="main"><s> |
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75 Cum in omnibus enim rebus, tum maxime etiam in architectura haec duo insunt: quod significatur |
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76 et quod significat. </s><s>significatur proposita res, de qua dicitur; hanc autem significat demonstratio rationibus doctrinarum explicata. </s><s>quare videtur utraque parte exercitatus esse debere, qui se architectum profiteatur. </s><s>itaque eum |
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77 etiam ingeniosum oportet esse et ad disciplinam docilem; |
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78 neque enim ingenium sine disciplina aut disciplina sine |
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79 ingenio perfectum artificem potest efficere. </s><s>et ut litteratus sit, peritus graphidos, eruditus geometria, historias |
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80 complures noverit, philosophos diligenter audierit, musicam scierit, medicinae non sit ignarus, responsa iurisconsultorum noverit, astrologiam caelique rationes cognitas habeat. |
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81 </s></p></subchap2> |
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82 <subchap2><p type="main"><s> |
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83 Quae cur ita sint, haec sunt causae. </s><s>litteras architectum |
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84 scire oportet, uti commentariis memoriam firmiorem efficere possit. </s><s>deinde graphidis scientiam habere, quo facilius |
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85 exemplaribus pictis quam velit operis speciem deformare |
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86 valeat. </s><s>geometria autem plura praesidia praestat architecturae; et primum ex euthygrammis circini tradit usum |
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87 <regulaeque>, e quo maxime facilius aedificiorum in areis |
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88 expediuntur descriptiones normarumque et librationum |
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89 et linearum directiones. </s><s>item per opticen in aedificiis ab |
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90 certis regionibus caeli lumina recte ducuntur. </s><s>per arithmeticen vero sumptus aedificiorum consummantur, mensurarum rationes explicantur, difficilesque symmetriarum |
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91 quaestiones geometricis rationibus et methodis inveniuntur. |
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92 </s></p></subchap2> |
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93 <subchap2><p type="main"><s> |
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94 Historias autem plures novisse oportet, quod multa ornamenta saepe in operibus architecti designant, de quibus |
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95 argumenti rationem, cur fecerint, quaerentibus reddere |
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96 debent. </s><s>quemadmodum si quis statuas marmoreas muliebres stolatas, quae caryatides dicuntur, pro columnis in |
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97 opere statuerit et insuper mutulos et coronas conlocaverit, |
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98 percontantibus ita reddet rationem. </s><s>Carya, civitas Peloponnensis, cum Persis hostibus contra Graeciam consensit. </s><s>postea Graeci per victoriam gloriose bello liberati communi consilio Caryatibus bellum indixerunt. </s><s>itaque oppido |
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99 capto, viris interfectis, civitate deflagrata matronas eorum |
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100 in servitutem abduxerunt, nec sunt passi stolas neque |
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101 ornatus matronales deponere, non uti una triumpho ducerentur, sed aeterna, servitutis exemplo gravi contumelia |
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102 pressae poenas pendere viderentur pro civitate. </s><s>ideo qui |
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103 tunc architecti fuerunt aedificiis publicis designaverunt |
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104 earum imagines oneri ferendo conlocatas, ut etiam posteris [nota] poena peccati Caryatium memoriae traderetur. |
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105 </s></p></subchap2> |
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106 <subchap2><p type="main"><s> |
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107 Non minus Lacones, Pausania Agesilae filio duce, Plataico |
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108 proelio pauca manu infinitum numerum exercitus Persarum cum superavissent, acto cum gloria triumpho spoliorum et praedae, porticum Persicam ex manubiis, laudis |
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109 et virtutis civium indicem, victoriae posteris pro tropaeo constituerunt. </s><s>ibique captivorum simulacra barbarico vestis ornatu, superbia meritis contumeliis punita, |
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110 sustinentia tectum conlocaverunt, uti et hostes horrescerent |
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111 timore eorum fortitudinis effectus, et cives id exemplum |
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112 virtutis aspicientes gloria erecti ad defendendam libertatem essent parati. </s><s>itaque ex eo multi statuas Persicas |
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113 sustinentes epistylia et ornamenta eorum conlocaverunt, |
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114 et ita ex eo argumento varietates egregias auxerunt operibus. </s><s>item sunt aliae eiusdem generis historiae, quarum notitiam architectos tenere oporteat. |
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115 </s></p></subchap2> |
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116 <subchap2><p type="main"><s> |
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117 Philosophia vero perficit architectum animo magno et uti non sit adrogans, |
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118 sed potius facilis, aequus et fidelis, sine avaritia, quod est |
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119 maximum; nullum enim opus vere sine fide et castitate |
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120 fieri potest; ne sit cupidus neque in muneribus accipiendis |
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121 habeat animum occupatum, sed cum gravitate suam tueatur dignitatem bonam famam habendo; et haec enim |
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122 philosophia praescribit. </s><s>praeterea de rerum natura, quae |
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123 graece <foreign lang="greek">fusiologi/a</foreign> dicitur, philosophia explicat. </s><s>quam necesse est studiosius novisse, quod habet multas et varias naturales quaestiones. </s><s>ut etiam in aquarum ductionibus. </s><s>incursibus enim et circumitionibus et librata planitie ex- |
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124 pressionibus spiritus naturales aliter atque aliter fiunt, |
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125 quorum offensionibus mederi nemo poterit, nisi qui ex |
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126 philosophia principia rerum naturae noverit. </s><s>item qui |
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127 Ctesibii aut Archimedis et ceterorum, qui eiusdem generis |
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128 praecepta conscripserunt, leget, sentire non poterit, nisi his rebus a philosophis erit institutus. |
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129 </s></p></subchap2> |
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130 <subchap2><p type="main"><s> |
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131 Musicen autem sciat oportet, uti canonicam rationem et mathematicam notam |
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132 habeat, praeterea ballistarum, catapultarum, scorpionum |
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133 temperaturas possit recte facere. </s><s>in capitulis enim dextra |
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134 ac sinistra sunt foramina hemitoniorum, per quae tenduntur suculis et vectibus e nervo torti funes, qui non praecluduntur nec praeligantur, nisi sonitus ad artificis aures |
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135 certos et aequales fecerint. </s><s>bracchia enim, quae in eas |
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136 tentiones includuntur, cum extenduntur, aequaliter et |
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137 pariter utraque plagam mittere debent; quodsi non homotona fuerint, inpedient directam telorum missionem. |
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138 </s></p></subchap2> |
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139 <subchap2><p type="main"><s> |
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140 Item theatris vasa aerea, quae in cellis sub gradibus mathematica ratione conlocantur sonitûm ex discrimine, quae |
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141 Graeci <foreign lang="greek">h)xei=a</foreign> appellant, ad symphonias musicas sive concentus componuntur divisa in circinatione diatessaron et diapente et <diapason ad> disdiapason, uti vox scaenici, |
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142 sonitu conveniens in dispositionibus tactu cum offenderit, |
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143 aucta cum incremento clarior et suavior ad spectatorum |
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144 perveniat aures. </s><s>hydraulicas quoque machinas et cetera, |
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145 quae sunt similia his organis, sine musicis rationibus efficere nemo poterit. |
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146 </s></p></subchap2> |
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147 <subchap2><p type="main"><s> |
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148 Disciplinam vero medicinae novisse oportet propter inclinationem caeli, quae Graeci <foreign lang="greek">kli/mata</foreign> |
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149 dicunt, et aeris et locorum, qui sunt salubres aut pestilentes, aquarumque usus; sine his enim rationibus nulla |
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150 salubris habitatio fieri potest. </s><s>iura quoque nota habeat |
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151 oportet, ea quae necessaria sunt aedificiis <locis> communibus parietum ad ambitum, stillicidiorum et cloacarum, luminum, item aquarum ductiones et cetera, quae eiusmodi sunt. </s><s>nota oportet sint architectis, uti ante |
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152 caveant quam instituant aedificia, ne controversiae factis |
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153 operibus patribus familiarum relinquantur, et ut legibus |
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154 scribendis prudentia cavere possit et locatori et conductori; namque si lex perite fuerit scripta, erit ut sine captione uterque ab utroque liberetur. </s><s>ex astrologia autem |
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155 cognoscitur oriens, occidens, meridies, septentrio, etiam |
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156 caeli ratio, aequinoctium, solstitium, astrorum cursus; |
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157 quorum notitiam si quis non habuerit, horologiorum rationem omnino scire non poterit. |
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158 </s></p></subchap2> |
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159 <subchap2><p type="main"><s> |
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160 Cum ergo tanta haec disciplina sit, condecorata et abundans eruditionibus variis ac pluribus, non puto posse <se> |
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161 iuste repente profiteri architectos, nisi qui ab aetate |
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162 puerili his gradibus disciplinarum scandendo scientia plerarumque litterarum et artium nutriti pervenerint ad summum templum architecturae. |
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163 </s></p></subchap2> |
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164 <subchap2><p type="main"><s> |
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165 At fortasse mirum videbitur inperitis, hominis posse naturam tantum numerum doctrinarum perdiscere et memoria continere. </s><s>cum autem animadverterint omnes disciplinas inter se coniunctionem |
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166 rerum et communicationem habere, fieri posse faciliter |
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167 credent; encyclios enim disciplina uti corpus unum ex his |
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168 membris est composita. </s><s>itaque qui a teneris aetatibus |
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169 eruditionibus variis instruuntur, omnibus litteris agnoscunt easdem notas communicationemque omnium disciplinarum, et ea re facilius omnia cognoscunt. </s><s>ideoque de veteribus architectis Pytheos, qui Prieni aedem Minervae |
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170 nobiliter est architectatus, ait in suis commentariis architectum omnibus artibus et doctrinis plus oportere posse |
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171 facere, quam qui singulas res suis industriis et exercitationibus ad summam claritatem perduxerunt. </s><s>id autem re non expeditur. |
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172 </s></p></subchap2> |
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173 <subchap2><p type="main"><s> |
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174 Non enim debet nec potest esse architectus grammaticus, uti fuerat Aristarchus, sed non agrammatus, |
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175 nec musicus ut Aristoxenus, sed non amusos, nec pictor |
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176 ut Apelles, sed graphidos non inperitus, nec plastes quemadmodum Myron seu Polyclitus, sed rationis plasticae |
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177 non ignarus, nec denuo medicus ut Hippocrates, sed non |
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178 aniatrologetus, nec in ceteris doctrinis singulariter excellens, sed in îs non inperitus. </s><s>non enim in tantis rerum |
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179 varietatibus elegantias singulares quisquam consequi potest, quod earum ratiocinationes cognoscere et percipere vix cadit in potestatem. |
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180 </s></p></subchap2> |
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181 <subchap2><p type="main"><s> |
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182 Nec tamen non tantum architecti non possunt in omnibus rebus habere summum effectum, |
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183 sed etiam ipsi, qui privatim proprietates tenent artium, |
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184 non efficiunt, ut habeant omnes summum laudis principatum. </s><s>ergo si in singulis doctrinis singuli artifices neque |
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185 omnes sed pauci aevo perpetuo nobilitatem vix sunt consecuti, quemadmodum potest architectus, qui pluribus artibus debet esse peritus, non id ipsum mirum et magnum |
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186 facere, ne quid ex his indigeat, sed etiam ut omnes artifices |
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187 superet, qui singulis doctrinis adsiduitatem cum industria summa praestiterunt? |
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188 </s></p></subchap2> |
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189 <subchap2><p type="main"><s> |
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190 Igitur in hac re Pytheos errasse videtur, quod non animadvertit ex duabus rebus singulas |
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191 artes esse compositas, ex opere et eius ratiocinatione, ex |
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192 his autem unum proprium esse eorum, qui singulis rebus |
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193 sunt exercitati, id est operis effectus, alterum commune |
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194 cum omnibus doctis, id est rationem, uti medicis et musicis |
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195 et de venarum rythmo et pedum [motus]; at si vulnus |
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196 mederi aut aegrum eripere de periculo oportuerit, non |
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197 accedet musicus, sed id opus proprium erit medici; item |
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198 in organo non medicus sed musicus modulabitur, ut aures suavem cantionibus recipiant iucunditatem. |
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199 </s></p></subchap2> |
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200 <subchap2><p type="main"><s> |
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201 Similiter cum astrologis et musicis est disputatio communis de sympathia |
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202 stellarum et symphoniarum in quadratis et trigonis diatessaron et diapente, a geometris [divisus] qui graece |
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203 <foreign lang="greek">lo/gos o)ptiko/s</foreign> appellatur; ceterisque omnibus doctrinis |
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204 multae res vel omnes communes sunt dumtaxat ad disputandum. </s><s>operum vero ingressus, qui manu aut tractationibus ad elegantiam perducuntur, ipsorum sunt, qui proprie una arte ad faciendum sunt instituti. </s><s>ergo satis |
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205 abunde videtur fecisse, qui ex singulis doctrinis partes et |
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206 rationes earum mediocriter habet notas, eas quae necessariae |
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207 sunt ad architecturam, uti, si quid de his rebus et artibus iudicare et probare opus fuerit, ne deficiatur. |
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208 </s></p></subchap2> |
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209 <subchap2><p type="main"><s> |
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210 Quibus vero natura tantum tribuit sollertiae, acuminis, memoriae, ut |
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211 possint geometriam, astrologiam, musicen ceterasque disciplinas penitus habere notas, praetereunt officia architectorum et efficiuntur mathematici. </s><s>itaque faciliter contra |
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212 eas disciplinas disputare possunt, quod pluribus telis disciplinarum sunt armati. </s><s>hi autem inveniuntur raro, ut |
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213 aliquando fuerunt Aristarchus Samius, Philolaus et Archytas Tarentini, Apollonius Pergaeus, Eratosthenes Cyrenaeus, |
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214 Archimedes et Scopinas ab Syracusis, qui multas res <mechanicas,> organicas, gnomonicas numero naturalibusque |
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215 rationibus inventas atque explicatas posteris reliquerunt. |
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216 </s></p></subchap2> |
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217 <subchap2><p type="main"><s> |
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218 Cum ergo talia ingenia ab naturali sollertia non passim |
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219 cunctis gentibus sed paucis viris habere concedatur, officium vero architecti omnibus eruditionibus debeat esse |
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220 exercitatum, et ratio propter amplitudinem rei permittat |
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221 non iuxta necessitatem summas sed etiam mediocres scientias habere disciplinarum, peto, Caesar, et a te et ab îs, |
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222 qui ea volumina sunt lecturi, ut, si quid parum ad regulam |
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223 artis grammaticae fuerit explicatum, ignoscatur. </s><s>namque |
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224 non uti summus philosophus nec rhetor disertus nec grammaticus summis rationibus artis exercitatus, sed ut architectus his litteris imbutus haec nisus sum scribere. </s><s>de |
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225 artis vero potestate quaeque insunt in ea ratiocinationes |
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226 polliceor, uti spero, his voluminibus non modo aedificantibus |
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227 sed etiam omnibus sapientibus cum maxima auctoritate |
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228 me sine dubio praestaturum. |
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229 </s></p></subchap2> |
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230 </subchap1> |
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231 <subchap1> |
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232 <subchap2><p type="main"><s> |
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233 Architectura autem constat ex ordinatione, quae graece |
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234 <foreign lang="greek">ta/cis</foreign> dicitur, et ex dispositione, hanc autem Graeci <foreign lang="greek">dia/qesin</foreign> vocitant, et eurythmia et symmetria et decore et |
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235 distributione, quae graece <foreign lang="greek">oi)konomi/a</foreign> dicitur. |
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236 </s></p></subchap2> |
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237 <subchap2><p type="main"><s> |
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238 Ordinatio est [modica] membrorum operis [commoditas] |
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239 separatim universeque proportionis ad symmetriam comparatio. </s><s>haec componitur ex quantitate, quae graece |
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240 <foreign lang="greek">poso/ths</foreign> dicitur. </s><s>quantitas autem est modulorum ex ipsius |
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241 operis e singulisque membrorum partibus sumptio universi operis conveniens effectui. |
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242 </s></p> |
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243 <p type="main"><s> |
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244 Dispositio autem est rerum apta conlocatio elegansque |
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245 compositionibus effectus operis cum qualitate. </s><s>species dispositionis, quae graece dicuntur <foreign lang="greek">i)de/ai</foreign>, sunt hae: ichnographia, orthographia, scaenographia. </s><s>ichnographia est |
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246 circini regulaeque modice continens usus, e qua capiuntur formarum in solis arearum descriptiones. </s><s>orthographia autem est erecta frontis imago modiceque picta |
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247 rationibus operis futuri figura. </s><s>item scaenographia est |
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248 frontis et laterum abscedentium adumbratio ad circinique |
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249 centrum omnium linearum responsus. </s><s>hae nascuntur |
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250 ex cogitatione et inventione. </s><s>cogitatio est cura studii |
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251 plena et industriae vigilantiaeque effectus propositi cum |
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252 voluptate. </s><s>inventio autem est quaestionum obscurarum |
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253 explicatio ratioque novae rei vigore mobili reperta. </s><s>hae |
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254 sunt terminationes dispositionum. |
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255 </s></p></subchap2> |
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256 <subchap2><p type="main"><s> |
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257 Eurythmia est venusta species commodusque in compositionibus membrorum aspectus. </s><s>haec efficitur, cum membra operis convenientis sunt altitudinis ad latitudinem, latitudinis ad longitudinem, et ad summam omnia respondent |
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258 suae symmetriae. |
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259 </s></p></subchap2> |
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260 <subchap2><p type="main"><s> |
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261 Item symmetria est ex ipsius operis membris conveniens |
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262 consensus ex partibusque separatis ad universae figurae |
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263 speciem ratae partis responsus. </s><s>uti in hominis corpore e |
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264 cubito, pede, palmo, digito ceterisque particulis symmetros |
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265 est eurythmiae qualitas, sic est in operum perfectionibus. </s><s>et primum in aedibus sacris aut e columnarum crassitudinibus aut triglypho aut etiam embatere, ballista e foramine <capituli>, quod Graeci <foreign lang="greek">peri/trhton</foreign> vocitant, navibus |
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266 interscalmio, quae <foreign lang="greek">dia/phgma</foreign> dicitur, item ceterorum operum |
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267 e membris invenitur symmetriarum ratiocinatio. |
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268 </s></p></subchap2> |
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269 <subchap2><p type="main"><s> |
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270 Decor autem est emendatus operis aspectus probatis |
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271 rebus compositi cum auctoritate. </s><s>is perficitur statione, |
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272 quod graece <foreign lang="greek">qematismw=|</foreign> dicitur, seu consuetudine aut |
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273 natura. </s><s>statione, cum Iovi Fulguri et Caelo et Soli et |
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274 Lunae aedificia sub divo hypaethraque constituentur; horum enim deorum et species et effectus in aperto mundo |
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275 atque lucenti praesentes videmus. </s><s>Minervae et Marti et |
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276 Herculi aedes doricae fient; his enim diis propter virtutem |
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277 sine deliciis aedificia constitui decet. </s><s>Veneri, Florae, Proserpinae, fontium nymphis corinthio genere constitutae |
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278 aptas videbuntur habere proprietates, quod his diis propter |
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279 teneritatem graciliora et florida foliisque et volutis ornata |
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280 opera facta augere videbuntur iustum decorem. </s><s>Iunoni, |
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281 Dianae, Libero Patri ceterisque diis, qui eadem sunt similitudine, si aedes ionicae construentur, habita erit ratio |
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282 mediocritatis, quod et ab severo more doricorum et ab |
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283 teneritate corinthiorum temperabitur earum institutio proprietatis. |
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284 </s></p></subchap2> |
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285 <subchap2><p type="main"><s> |
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286 Ad consuetudinem autem decor sic exprimitur, |
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287 cum aedificiis interioribus magnificis item vestibula convenientia et elegantia erunt facta. </s><s>si enim interiora prospectus habuerint elegantes, aditus autem humiles et inhonestos, non erunt cum decore. </s><s>item si doricis epistyliis in |
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288 coronis denticuli sculpentur aut in pulvinatis columnis ex |
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289 ionicis epistyliis [capitulis] exprimentur triglyphi, translatis |
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290 ex alia ratione proprietatibus in aliud genus operis offendetur aspectus aliis ante ordinis consuetudinibus institutus. |
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291 </s></p></subchap2> |
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292 <subchap2><p type="main"><s> |
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293 Naturalis autem decor sic erit, si primum omnibus templis |
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294 saluberrimae regiones aquarumque fontes in îs locis idonei |
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295 eligentur, in quibus fana constituantur, deinde maxime |
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296 Aesculapio, Saluti, ut eorum deorum, quorum plurimi medicinis aegri curari videntur. </s><s>cum enim ex pestilenti in |
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297 salubrem locum corpora aegra translata fuerint et e fontibus salubribus aquarum usus subministrabuntur, celerius |
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298 convalescent. </s><s>ita efficietur, uti ex natura loci maiores |
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299 auctasque cum dignitate divinitas excipiat opiniones. </s><s>item |
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300 naturae decor erit, si cubiculis et bybliothecis ab oriente |
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301 lumina capiuntur, balneis et hibernaculis ab occidente hiberno, pinacothecis et quibus certis luminibus opus est |
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302 partibus, a septentrione, quod ea caeli regio neque exclaratur neque obscuratur solis cursu sed est certa inmutabilis die perpetuo. |
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303 </s></p></subchap2> |
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304 <subchap2><p type="main"><s> |
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305 Distributio autem est copiarum locique commoda dispensatio parcaque in operibus sumptus ratione temperatio. </s><s>haec ita observabitur, si primum architectus ea non quaeret, quae non poterunt inveniri aut parari nisi magno. </s><s>namque non omnibus locis harenae fossiciae nec caementorum nec abietis nec sappinorum nec marmoris copia est, |
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306 sed aliud alio loco nascitur, quorum comportationes difficiles sunt et sumptuosae. </s><s>utendum autem est, ubi non est |
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307 harena fossicia, fluviatica aut marina lota; inopiae quoque |
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308 abietis aut sappinorum vitabuntur utendo cupresso, populo, ulmo, pinu; reliquaque his similiter erunt explicanda. |
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309 </s></p></subchap2> |
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310 <subchap2><p type="main"><s> |
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311 Alter gradus erit distributionis, cum ad usum patrum familiarum |
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312 et ad pecuniae copiam aut ad eloquentiae dignitatem aedificia apte disponentur. </s><s>namque aliter urbanas domos oportere constitui videtur, aliter quibus ex possessionibus rusticis influunt fructus; non item feneratoribus, aliter beatis |
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313 et delicatis; potentibus vero, quorum cogitationibus respublica gubernatur, ad usum conlocabuntur; et omnino |
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314 faciendae sunt aptae omnibus personis aedificiorum distributiones. |
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315 </s></p></subchap2> |
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316 </subchap1> |
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317 <subchap1> |
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318 <subchap2><p type="main"><s> |
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319 Partes ipsius architecturae sunt tres: aedificatio, gnomonice, machinatio. </s><s>aedificatio autem divisa est bipertito, |
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320 e quibus una est moenium et communium operum in publicis locis conlocatio, altera est privatorum aedificiorum |
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321 explicatio. </s><s>publicorum autem distributiones sunt tres, e |
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322 quibus est una defensionis, altera religionis, tertia opportunitatis. </s><s>defensionis est murorum turriumque et portarum |
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323 ratio ad hostium impetus perpetuo repellendos excogitata, |
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324 religionis deorum inmortalium fanorum aediumque sacrarum conlocatio, opportunitatis communium locorum ad |
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325 usum publicum dispositio, uti portus, fora, porticus, |
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326 balinea, theatra, ambulationes ceteraque, quae isdem rationibus in publicis locis designantur. |
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327 </s></p></subchap2> |
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328 <subchap2><p type="main"><s> |
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329 Haec autem ita fieri debent, ut habeatur ratio firmitatis, utilitatis, venustatis. </s><s>firmitatis erit habita ratio, cum |
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330 fuerit fundamentorum ad solidum depressio, quaque e materia, copiarum sine avaritia diligens electio; utilitatis |
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331 autem, <cum fuerit> emendata et sine inpeditione usus locorum dispositio et ad regiones sui cuiusque generis apta |
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332 et commoda distributio; venustatis vero, cum fuerit operis |
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333 species grata et elegans membrorumque commensus iustas |
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334 habeat symmetriarum ratiocinationes. |
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335 </s></p></subchap2> |
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336 </subchap1> |
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337 <subchap1> |
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338 <subchap2><p type="main"><s> |
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339 In ipsis vero moenibus ea erunt principia. </s><s>primum electio loci saluberrimi. </s><s>is autem erit excelsus et non nebulosus, non pruinosus regionesque caeli spectans neque |
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340 aestuosas neque frigidas sed temperatas, deinde si vitabitur palustris vicinitas. </s><s>cum enim aurae matutinae cum |
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341 sole oriente ad oppidum pervenient et his ortae nebulae |
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342 adiungentur spiritusque bestiarum palustrium venenatos |
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343 cum nebula mixtos in habitatorum corpora flatu spargent, |
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344 efficient locum pestilentem. </s><s>item si secundum mare erunt |
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345 moenia spectabuntque ad meridiem aut occidentem, non |
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346 erunt salubria, quod per aestatem caelum meridianum sole |
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347 exoriente calescit, meridie ardet; item quod spectat ad |
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348 occidentem, sole exorto tepescit, meridie calet, vespere fervet. |
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349 </s></p></subchap2> |
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350 <subchap2><p type="main"><s> |
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351 Igitur mutationibus caloris et refrigerationis corpora, quae in his locis sunt, vitiantur. </s><s>hoc autem licet |
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352 animadvertere etiam ex îs, quae non sunt animalia. </s><s>in |
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353 cellis enim vinariis tectis lumina nemo capit a meridie |
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354 nec ab occidente, sed a septentrione, quod ea regio nullo |
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355 tempore mutationes recipit sed est firma perpetuo et inmutabilis. </s><s>ideo etiam ea granaria, quae ad solis cursum |
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356 spectant, bonitatem cito mutant, obsoniaque et poma, quae |
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357 non in ea parte caeli ponuntur, quae est aversa a solis cursu, non diu servantur. |
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358 </s></p></subchap2> |
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359 <subchap2><p type="main"><s> |
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360 Nam semper calor cum excoquit e rebus firmitatem et vaporibus fervidis eripit exsugendo |
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361 naturales virtutes, dissolvit eas et fervore mollescentes |
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362 efficit inbecillas. </s><s>ut etiam in ferro animadvertimus, quod, |
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363 quamvis natura sit durum, in fornacibus ab ignis vapore |
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364 percalefactum ita mollescit, uti in omne genus formae faciliter fabricetur; et idem, cum molle et candens refrigeretur tinctum frigida, redurescit et restituitur in antiquam proprietatem. |
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365 </s></p></subchap2> |
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366 <subchap2><p type="main"><s> |
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367 Licet etiam considerare haec ita esse ex eo, quod aestate non solum in pestilentibus locis sed etiam |
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368 in salubribus omnia corpora calore fiant inbecilla, et per |
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369 hiemem etiam quae pestilentissimae sint regiones efficiantur salubres, ideo quod a refrigerationibus solidantur. </s><s>non minus etiam quae ab frigidis regionibus corpora traducuntur in calidas, non possunt durare sed dissolvuntur; |
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370 quae autem ex calidis locis sub septentrionum regiones |
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371 frigidas, non modo non laborant inmutatione loci valetudinibus sed etiam confirmantur. |
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372 </s></p></subchap2> |
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373 <subchap2><p type="main"><s> |
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374 Quare cavendum esse videtur in moenibus conlocandis ab îs regionibus, quae |
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375 caloribus flatus ad corpora hominum possunt spargere. </s><s>namque <e> principiis, quae Graeci <foreign lang="greek">stoixei=a</foreign> appellant, ut |
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376 omnia, corpora sunt composita, id est e calore et umore, |
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377 terreno et aere, et ita mixtionibus naturali temperatura |
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378 figurantur omnium animalium in mundo generatim qualitates. |
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379 </s></p></subchap2> |
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380 <subchap2><p type="main"><s> |
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381 Ergo in quibus<vis> corporibus cum exsuperat e |
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382 principiis calor, tunc interficit dissolvitque cetera fervore. </s><s>haec autem vitia efficit fervidum ab certis partibus caelum, cum insidit in apertas venas plus quam patitur e |
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383 mixtionibus naturali temperatura corpus. </s><s>item si umor |
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384 occupavit corporum venas inparesque eas fecit, cetera |
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385 principia liquido corrupta diluuntur, et dissolvuntur compositionibus virtutes. </s><s>item haec e refrigerationibus umoris ventorum et aurarum infunduntur vitia corporibus. </s><s>non minus aeris etiamque terreni in corpore naturalis compositio augendo aut minuendo infirmat cetera, principia |
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386 terrena cibi plenitate, aer gravitate caeli. |
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387 </s></p></subchap2> |
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388 <subchap2><p type="main"><s> |
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389 Sed si qui voluerit diligentius haec sensu percipere, |
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390 animadvertat attendatque naturas avium et piscium et |
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391 terrestrium animalium, et ita considerabit discrimina temperaturae. </s><s>aliam enim mixtionem habet genus avium, aliam |
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392 piscium, longe aliter terrestrium natura. </s><s>volucres minus |
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393 habent terreni, minus umoris, caloris temperate, aeris |
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394 multum; igitur levioribus principiis compositae facilius in |
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395 aeris impetum nituntur. </s><s>aquatiles autem piscium naturae, |
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396 quod temperatae sunt a calido plurimumque ex aeris et |
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397 terreni <principiis> sunt compositae, sed umoris habent |
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398 oppido quam paulum, quo minus habent e principiis umoris in corpore, facilius in umore perdurant; itaque cum ad |
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399 terram perducuntur, animam cum aqua relinquunt. </s><s>item |
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400 terrestria, quod e principiis ab aere caloreque sunt temperata minusque habent terreni plurimumque umoris, quod |
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401 abundant umidae partes, non diu possunt in aqua vitam tueri. |
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402 </s></p></subchap2> |
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403 <subchap2><p type="main"><s> |
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404 Ergo si haec ita videntur, quemadmodum proposuimus, et e principiis animalium corpora composita sensu |
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405 percipimus et e superationibus aut defectionibus ea laborare dissolvique iudicamus, non dubitamus, quin diligentius quaeri oporteat, uti temperatissimas caeli regiones |
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406 eligamus, cum quaerenda fuerit in moenium conlocationibus salubritas. |
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407 </s></p></subchap2> |
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408 <subchap2><p type="main"><s> |
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409 Itaque etiam atque etiam veterem revocandam censeo rationem. </s><s>maiores enim pecoribus immolatis, quae pascebantur in îs locis, quibus aut oppida aut |
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410 castra stativa constituebantur, inspiciebant iocinera, et si |
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411 erant livida et vitiosa primo, alia immolabant dubitantes, |
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412 utrum morbo an pabuli vitio laesa essent. </s><s>cum pluribus |
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413 experti erant et probaverant integram et solidam naturam |
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414 iocinerum ex aqua et pabulo, ibi constituebant munitiones; |
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415 si autem vitiosa inveniebant, iudicio transferebant item |
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416 humanis corporibus pestilentem futuram nascentem in his |
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417 locis aquae cibique copiam, et ita transmigrabant et mutabant regiones quaerentes omnibus rebus salubritatem. |
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418 </s></p></subchap2> |
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419 <subchap2><p type="main"><s> |
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420 Hoc autem fieri, uti pabulo ciboque salubres proprietates terrae videantur, licet animadvertere et cognoscere ex agris |
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421 Cretensium, qui sunt circa Pothereum flumen, quod est |
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422 Cretae inter duas civitates Gnoson et Gortynam. </s><s>dextra |
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423 enim et sinistra eius fluminis pascuntur pecora; sed ex his |
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424 quae pascuntur proxime Gnoson si <gap/> quae autem |
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425 ex altera parte proxime Gortynam, non habent apparentem |
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426 splenem. </s><s>unde etiam medici quaerentes de ea re invenerunt |
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427 in his locis herbam, quam pecora rodendo inminuerunt |
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428 lienes. </s><s>ita eam herbam colligendo curant lienosos hoc |
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429 medicamento, quod etiam Cretenses <foreign lang="greek">a)/splhnon</foreign> vocitant. </s><s>ex eo licet scire cibo atque aqua proprietates locorum |
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430 naturaliter pestilentes aut salubres esse. |
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431 </s></p></subchap2> |
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432 <subchap2><p type="main"><s> |
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433 Item si in paludibus moenia constituta erunt, quae paludes secundum mare fuerint, spectabuntque ad septentrionem aut inter septentrionem et orientem, eaeque |
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434 paludes excelsiores fuerint quam litus marinum, ratione |
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435 videbuntur esse constituta. </s><s>fossis enim ductis fit aquae |
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436 exitus ad litus, et mare tempestatibus actum in paludes |
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437 redundantia motionibus concitata marisque mixtionibus |
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438 non patitur bestiarum palustrium genera ibi nasci, quaeque de superioribus locis natando proxime litus perveniunt, |
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439 inconsueta salsitudine necantur. </s><s>exemplar autem huius rei |
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440 Gallicae paludes possunt esse, quae circum<cingunt> Altinum, Ravennam, Aquileiam, aliaque quae in eiusmodi locis municipia sunt proxima paludibus, quod his rationibus habent incredibilem salubritatem. |
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441 </s></p></subchap2> |
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442 <subchap2><p type="main"><s> |
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443 Quibus autem insidentes sunt paludes et non habent exitus profluentes neque |
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444 per flumina neque per fossas, uti Pomptinae, stando putescunt et umores graves et pestilentes in îs locis emittunt. |
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445 </s></p> |
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446 <p type="main"><s> |
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447 Item in Apulia oppidum Salpia vetus, quod Diomedes ab Troia rediens constituit sive, quemadmodum |
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448 nonnulli scripserunt, Elpias Rhodius, in eiusmodi locis fuerat conlocatum, ex quo incolae quotannis aegrotando laborantes aliquando pervenerunt ad M. </s><s>Hostilium ab eoque |
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449 publice petentes impetraverunt, ut is idoneum locum ad |
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450 moenia transferenda conquireret eligeretque. </s><s>tunc is moratus non est, sed statim rationibus doctissime quaesitis |
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451 secundum mare mercatus est possessionem loco salubri |
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452 ab senatuque populoque Romano petît, ut liceret transferre oppidum, constituitque moenia et areas divisit nummoque sestertio singulis municipibus mancipio dedit. </s><s>his |
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453 confectis lacum aperuit in mare et portum e lacu municipio perfecit. </s><s>itaque nunc Salpini quattuor milia passus |
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454 progressi ab oppido veteri habitant in salubri loco. |
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455 </s></p></subchap2> |
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456 </subchap1> |
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457 <subchap1> |
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458 <subchap2><p type="main"><s> |
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459 Cum ergo his rationibus [erit] salubritatis [moenium |
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460 conlocandorum explicatio] regiones[que] electae fuerint |
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461 fructibus ad alendam civitatem copiosae, et viarum |
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462 munitiones aut opportunitates fluminum seu per portus |
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463 marinae subvectionis habuerit ad moenia comportationes |
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464 expeditas, tunc turrium murorumque fundamenta sic sunt |
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465 facienda, uti fodiantur, si queat inveniri, ad solidum et in |
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466 solido, quantum ex amplitudine operis pro ratione videatur, crassitudine ampliore quam parietum, qui supra terram sunt futuri, et ea impleantur quam solidissima structura. |
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467 </s></p></subchap2> |
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468 <subchap2><p type="main"><s> |
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469 Item turres sunt proiciendae in exteriorem partem, |
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470 uti, cum ad murum hostis impetu velit adpropinquare, a |
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471 turribus dextra ac sinistra lateribus apertis telis vulnerentur. </s><s>curandumque maxime videtur, ut non facilis aditus sit ad |
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472 oppugnandum murum, sed ita circumdandum ad loca praecipitia et excogitandum, uti portarum itinera non sint |
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473 directa sed scaeva. </s><s>namque cum ita factum fuerit, tum |
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474 dextrum latus accedentibus, quod scuto non erit tectum, |
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475 proximum erit muro. </s><s>conlocanda autem oppida sunt non |
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476 quadrata nec procurrentibus angulis sed circinationibus, |
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477 uti hostis ex pluribus locis conspiciatur. </s><s>in quibus enim |
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478 anguli procurrunt, difficiliter defenditur, quod angulus magis hostem tuetur quam civem. |
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479 </s></p></subchap2> |
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480 <subchap2><p type="main"><s> |
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481 Crassitudinem autem muri ita faciendam censeo, uti armati homines supra obviam |
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482 venientes alius alium sine inpeditione praeterire possint, |
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483 dum in crassitudine perpetuae taleae oleagineae ustilatae |
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484 quam creberrime instruantur, uti utraeque muri frontes |
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485 inter se, quemadmodum fibulis, his taleis conligatae aeternam habeant firmitatem; namque ei materiae nec caries |
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486 nec tempestates nec vetustas potest nocere, sed ea et in |
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487 terra obruta et in aqua conlocata permanet sine vitiis |
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488 utilis sempiterno. </s><s>itaque non solum in muro sed etiam |
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489 in substructionibus quique parietes murali crassitudine |
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490 erunt faciundi, hac ratione religati non cito vitiabuntur. |
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491 </s></p></subchap2> |
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492 <subchap2><p type="main"><s> |
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493 Intervalla autem turrium ita sunt facienda, ut ne longius |
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494 sit alia ab alia sagittae missionis, uti, si qua oppugnetur, |
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495 tum a turribus, quae erunt dextra sinistra, scorpionibus |
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496 reliquisque telorum missionibus hostes reiciantur. </s><s>etiamque contra interiores <partes> turrium dividendus est murus |
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497 intervallis tam magnis, quam erunt turres, ut itinera sint |
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498 interioribus partibus turrium contignata, neque ea ferro |
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499 fixa; hostis enim si quam partem muri occupaverit, qui |
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500 repugnabunt rescindent et, si celeriter administraverint, |
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501 non patientur reliquas partes turrium murique hostem penetrare, nisi se voluerit praecipitare. |
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502 </s></p></subchap2> |
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503 <subchap2><p type="main"><s> |
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504 Turres itaque rotundae aut polygonoe sunt faciendae; quadratas enim |
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505 machinae celerius dissipant, quod angulos arietes tundendo |
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506 frangunt, in rotundationibus autem uti cuneos ad centrum |
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507 adigendo laedere non possunt. </s><s>item munitiones muri turriumque aggeribus coniunctae maxime sunt tutiores, quod |
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508 neque arietes neque suffossiones neque machinae ceterae eis valent nocere. |
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509 </s></p></subchap2> |
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510 <subchap2><p type="main"><s> |
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511 Sed non in omnibus locis est aggeris ratio facienda, nisi quibus extra murum ex alto loco |
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512 plano pede accessus fuerit ad moenia oppugnanda. </s><s>itaque in eiusmodi locis primum fossae sunt faciendae latitudinibus et altitudinibus quam amplissimis, deinde fundamentum muri deprimendum est infra alveum fossae |
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513 et id extruendum est ea crassitudine, ut opus terrenum facile sustineatur. |
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514 </s></p></subchap2> |
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515 <subchap2><p type="main"><s> |
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516 Item interiore parte substructionis |
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517 fundamentum distans ab exteriore introrsus amplo spatio, |
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518 ita uti cohortes possint quemadmodum in acie instructae |
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519 ad defendendum supra latitudinem aggeris consistere. </s><s>cum |
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520 autem fundamenta ita distantia inter se fuerint constituta, |
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521 tunc inter ea alia transversa, coniuncta exteriori et interiori fundamento, pectinatim disposita [quemadmodum |
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522 serrae dentes solent esse] conlocentur; cum enim sic erit |
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523 factum, tunc ita oneris terreni magnitudo distributa in |
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524 parvas partes neque universa pondere premens <non> poterit ulla ratione extrudere muri substructiones. |
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525 </s></p></subchap2> |
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526 <subchap2><p type="main"><s> |
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527 De ipso autem muro, e qua materia struatur aut perficiatur, ideo |
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528 non est praefiniendum, quod in omnibus locis, quas optamus copias, eas non possumus habere. </s><s>sed ubi sunt saxa |
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529 quadrata sive silex seu caementum aut coctus later sive |
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530 crudus, his erit utendum. </s><s>non enim, uti Babylone abundantes liquido bitumine pro calce et harena ex cocto latere |
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531 factum habent murum, sic item possunt omnes regiones |
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532 seu locorum proprietates habere tantas eiusdem generis |
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533 utilitates, uti ex his comparationibus ad aeternitatem perfectus habeatur sine vitio murus. |
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534 </s></p></subchap2> |
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535 </subchap1> |
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536 <subchap1> |
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537 <subchap2><p type="main"><s> |
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538 Moenibus circumdatis sequuntur intra murum arearum |
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539 divisiones platearumque et angiportûm ad caeli regionem |
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540 directiones. </s><s>dirigentur haec autem recte, si exclusi erunt |
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541 ex angiportis venti prudenter. </s><s>qui si frigidi sunt, laedunt; |
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542 si calidi, vitiant; si umidi, nocent. </s><s>quare vitandum videtur |
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543 hoc vitium et avertendum, ne fiat quod in multis civitatibus usu solet venire. </s><s>quemadmodum in insula Lesbo |
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544 oppidum Mytilenae magnificenter est aedificatum et eleganter, sed positum non prudenter. </s><s>in qua civitate auster |
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545 cum flat, homines aegrotant; cum corus, tussiunt; cum |
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546 septentrio, restituuntur in salubritatem, sed in angiportis |
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547 et plateis non possunt consistere propter vehementiam frigoris. |
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548 </s></p></subchap2> |
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549 <subchap2><p type="main"><s> |
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550 Ventus autem est aeris fluens unda cum certa |
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551 motus redundantia. </s><s>nascitur, cum fervor offendit umorem |
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552 et impetus spiritus factionis exprimit vim flatus. </s><s>id autem |
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553 verum esse ex aeolis aereis licet aspicere et de latentibus |
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554 caeli rationibus artificiosis rerum inventionibus divinitatis |
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555 exprimere veritatem. </s><s>fiunt enim aeoli pilae aereae cavae,— |
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556 hae habent punctum angustissimum—quae aqua infunduntur conlocanturque ad ignem; et antequam calescant, non |
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557 habent ullum spiritum, simul autem ut fervere coeperint, efficiunt ad ignem vehementem flatum. </s><s>ita scire et iudicare licet |
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558 e parvo brevissimoque spectaculo de magnis et inmanibus caeli ventorumque naturae rationibus. |
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559 </s></p></subchap2> |
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560 <subchap2><p type="main"><s> |
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561 <Venti autem si ex habitationibus> exclusi fuerint, non solum efficient |
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562 corporibus valentibus locum salubrem, sed etiam si qui |
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563 morbi ex aliis vitiis forte nascentur, qui in ceteris <minus> salubribus locis habent curationes medicinae contrariae, in his propter exclusiones ventorum temperatura |
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564 expeditius curabuntur. </s><s>vitia autem sunt, quae difficulter |
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565 curantur in regionibus, quae sunt supra scriptae, haec: |
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566 gravitudo arteriace, tussis, pleuritis, pthisis, sanguinis |
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567 eiectio et cetera, quae non detractionibus sed adiectionibus curantur. </s><s>haec ideo difficulter medicantur, primum |
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568 quod ex frigoribus concipiuntur, deinde quod defatigatis |
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569 morbo viribus eorum aer agitatus est <molestus; namque |
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570 ubi> ventorum agitationibus extenuatur, a vitiosis corporibus detrahit sucum et efficit ea exiliora. </s><s>contra vero lenis et |
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571 crassus aer, qui perflatus non habet neque crebras redundantias, propter inmotam stabilitatem adiciendo ad membra eorum alit eos et reficit, qui in his sunt inpliciti morbis. |
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572 </s></p></subchap2> |
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573 <subchap2><p type="main"><s> |
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574 Nonnullis placuit esse ventos quattuor: ab oriente aequinoctiali solanum, a meridie austrum, ab occidente aequinoctiali favonium, ab septentrionali septentrionem. </s><s>sed |
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575 qui diligentius perquisierunt, tradiderunt eos esse octo, |
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576 maxime quidem Andronicus Cyrrestes, qui etiam exemplum conlocavit Athenis turrem marmoream octagonon |
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577 et in singulis lateribus octagoni singulorum ventorum |
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578 imagines excalptas contra suos cuiusque flatus designavit, |
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579 supraque eam turrim metam marmoream perfecit et insuper Tritonem aereum conlocavit dextra manu virgam |
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580 porrigentem, et ita est machinatus, uti vento circumageretur |
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581 et semper contra flatum consisteret supraque imaginem flantis venti indicem virgam teneret. |
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582 </s></p></subchap2> |
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583 <subchap2><p type="main"><s> |
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584 Itaque sunt conlocati inter solanum et austrum ab oriente hiberno |
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585 eurus, inter austrum et favonium ab occidente hiberno |
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586 africus, inter favonium et septentrionem caurus, quem |
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587 plures vocant corum, inter septentrionem et solanum |
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588 aquilo. </s><s>hoc modo videtur esse expressum, uti pateat |
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589 numerus et nomina et partes, unde flatus certi ventorum |
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590 spirent. </s><s>quod cum ita exploratum habeatur, ut inveniantur regiones et ortus eorum, sic erit ratiocinandum. |
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591 </s></p></subchap2> |
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592 <subchap2><p type="main"><s> |
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593 Conlocetur ad libellam marmoreum amusium mediis moenibus, |
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594 aut locus ita expoliatur ad regulam et libellam, ut amusium non desideretur, supraque eius loci centrum medium |
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595 conlocetur aeneus gnomon, [indagator umbrae] qui graece |
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596 <foreign lang="greek">skiaqh/ras</foreign> dicitur. </s><s>huius antemeridiana circiter hora quinta |
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597 sumenda est extrema gnomonis umbra et puncto signanda, |
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598 deinde circino diducto ad punctum, quod est gnomonis |
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599 umbrae longitudinis signum, ex eoque a centro circumagenda linea rotundationis. </s><s>itemque observanda postmeridiana istius gnomonis crescens umbra, et cum tetigerit circinationis lineam et fecerit parem antemeridianae umbrae postmeridianam, signanda puncto. |
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600 </s></p></subchap2> |
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601 <subchap2><p type="main"><s> |
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602 Ex his duobus signis circino decusatim describendum, et per decusationem et medium centrum linea perducenda ad extremum, |
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603 ut habeatur meridiana et septentrionalis regio. </s><s>tum postea |
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604 sumenda est sexta decima pars circinationis lineae totius |
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605 rotundationis, centrumque conlocandum in meridiana |
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606 linea, qua tangit circinationem, et signandum dextra ac |
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607 sinistra in circinatione et meridiana et septentrionali parte. </s><s>tunc ex signis his quattuor per centrum medium decusatim |
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608 lineae ab extremis ad extremas circinationes perducendae. </s><s>ita austri et septentrionis habebitur octavae partis designatio. </s><s>reliquae partes dextra ac sinistra tres et tres |
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609 aequales his distribuendae sunt, in tota rotundatione ut |
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610 aequales divisiones octo ventorum designatae sint in descriptione. </s><s>tum per angulos inter duas ventorum regiones |
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611 et platearum et angiportorum videntur deberi dirigi descriptiones. |
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612 </s></p></subchap2> |
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613 <subchap2><p type="main"><s> |
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614 His enim rationibus et ea divisione exclusa erit ex habitationibus et vicis ventorum vis molesta. </s><s>cum enim plateae contra directos ventos erunt conformatae, ex aperto |
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615 caeli spatio impetus ac flatus frequens conclusus in faucibus angiportorum vehementioribus viribus pervagabitur. </s><s>quas ob res convertendae sunt ab regionibus ventorum |
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616 directiones vicorum, uti advenientes ad angulos insularum |
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617 frangantur repulsique dissipentur. |
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618 </s></p></subchap2> |
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619 <subchap2><p type="main"><s> |
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620 Fortasse mirabuntur î, qui multa ventorum nomina |
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621 noverunt, quod a nobis expositi sunt tantum octo esse |
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622 venti. </s><s>si autem animadverterint orbis terrae circumitionem |
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623 per solis cursum et umbras gnomonis aequinoctialis ex inclinatione caeli ab Eratosthene Cyrenaeo rationibus mathematicis et geometricis methodis esse inventam ducentorum |
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624 quinquaginta duûm milium stadiûm, quae fiunt passus |
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625 trecenties et decies quinquies centena milia, huius autem |
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626 octava pars, quam ventus tenere videtur, est triciens nongenta triginta septem milia et passus quingenti, non debebunt mirari, si in tam magno spatio unus ventus vagando inclinationibus et recessionibus varietates mutatione flatus faciat. |
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627 </s></p></subchap2> |
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628 <subchap2><p type="main"><s> |
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629 Itaque dextra et sinistra austrum leuconotus et |
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630 altanus flare solet, <circa> africum libonotus et subvesperus, circa favonium argestes et certis temporibus etesiae, |
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631 ad latera cauri circius et corus, circa septentrionem thracias |
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632 et gallicus, dextra ac sinistra aquilonem supernas et caecias, |
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633 circa solanum carbas et certo tempore ornithiae, euri vero |
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634 medias partes tenentis in extremis euricircias et volturnus. </s><s>sunt autem et alia plura nomina flatusque ventorum e locis aut fluminibus aut montium procellis tracta. |
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635 </s></p></subchap2> |
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636 <subchap2><p type="main"><s> |
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637 Praeterea aurae matutinae, qua sol, cum emergit, de subterranea |
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638 parte versando pulsat aeris umorem et [impetu] scandendo |
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639 praeurens exprimit aurarum antelucano impetu flatus. </s><s>qui |
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640 cum exorto sole permanserunt, euri venti tenent partes, |
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641 et ea re, quod ex auris procreatur, ab Graecis <foreign lang="greek">eu)=ros</foreign> videtur esse appellatus, crastinusque dies propter auras matutinas <foreign lang="greek">au)/rion</foreign> fertur esse vocitatus. </s><s>sunt autem nonnulli, |
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642 qui negant Eratosthenem potuisse veram mensuram orbis |
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643 terrae colligere. </s><s>quae sive est certa sive non vera, non |
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644 potest nostra scriptura non veras habere terminationes regionum, unde spiritus ventorum oriuntur. |
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645 </s></p></subchap2> |
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646 <subchap2><p type="main"><s> |
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647 Ergo si ita est, tantum erit, uti non certam mensurae rationem sed |
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648 aut maiores impetus aut minores habeant singuli venti. |
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649 </s></p> |
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650 <p type="main"><s> |
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651 Quoniam haec a nobis sunt breviter exposita, ut facilius intellegatur, visum est mihi in extremo volumine |
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652 formas sive, uti Graeci dicunt, <foreign lang="greek">sxh/mata</foreign> duo explicare, unum |
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653 ita deformatum, ut appareat, unde certi ventorum spiritus |
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654 oriantur, alterum, quemadmodum ab impetu eorum aversis |
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655 directionibus vicorum et platearum evitentur nocentes flatus. </s><s>erit autem in exaequata planitie centrum, ubi est |
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656 littera <emph type="smallcaps"/>A<emph.end/>, gnomonis autem antemeridiana umbra, ubi est |
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657 <emph type="smallcaps"/>b<emph.end/>, et a centro, ubi est <emph type="smallcaps"/>A<emph.end/>, diducto circino ad id signum |
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658 umbrae, ubi est <emph type="smallcaps"/>B<emph.end/>, circumagatur linea rotundationis. </s><s>reposito autem gnomone ubi antea fuerat, expectanda est, |
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659 dum decrescat faciatque iterum crescendo parem antemeridianae umbrae postmeridianam tangatque lineam rotundationis, ubi erit littera <emph type="smallcaps"/>C<emph.end/>. tunc a signo, ubi est <emph type="smallcaps"/>B<emph.end/>, et a |
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660 signo, ubi est <emph type="smallcaps"/>C<emph.end/>, circino decusatim describatur, ubi erit <emph type="smallcaps"/>D<emph.end/>; |
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661 deinde per decusationem et centrum, ubi est <emph type="smallcaps"/>A<emph.end/>, perducatur |
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662 linea ad extremum, in qua linea erunt litterae <emph type="smallcaps"/>E<emph.end/> et <emph type="smallcaps"/>F<emph.end/>. haec linea erit index meridianae et septentrionalis regionis. |
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663 </s></p></subchap2> |
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664 <subchap2><p type="main"><s> |
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665 Tunc circino totius rotundationis sumenda est pars <emph type="smallcaps"/>XVI<emph.end/>, circinique centrum ponendum est in meridiana linea, qua tangit rotundationem, ubi est littera <emph type="smallcaps"/>E<emph.end/>, et signandum dextra |
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666 sinistra, ubi erunt litterae <emph type="smallcaps"/>G H<emph.end/>. item in septentrionali parte |
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667 centrum circini ponendum in rotundationis et septentrionali |
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668 linea, ubi est littera <emph type="smallcaps"/>F<emph.end/>, et signandum dextra ac sinistra, |
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669 ubi sunt litterae <emph type="smallcaps"/>I<emph.end/> et <emph type="smallcaps"/>K<emph.end/>, et ab <emph type="smallcaps"/>G<emph.end/> ad <emph type="smallcaps"/>K<emph.end/> et ab <emph type="smallcaps"/>H<emph.end/> ad <emph type="smallcaps"/>I<emph.end/> per centrum lineae perducendae. </s><s>ita quod erit spatium ab |
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670 <emph type="smallcaps"/>G<emph.end/> ad <emph type="smallcaps"/>H<emph.end/>, erit spatium venti austri et partis meridianae; item |
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671 quod erit spatium ab <emph type="smallcaps"/>I<emph.end/> ad <emph type="smallcaps"/>K<emph.end/>, erit septentrionis. </s><s>reliquae |
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672 partes dextra ter ac sinistra ter dividendae sunt aequaliter, |
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673 quae sunt ad orientem, in quibus litterae <emph type="smallcaps"/>L M<emph.end/>, et ab occidente, in quibus sunt litterae <emph type="smallcaps"/>N<emph.end/> et <emph type="smallcaps"/>O<emph.end/>. ab <emph type="smallcaps"/>M<emph.end/> ad <emph type="smallcaps"/>O<emph.end/> et ab |
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674 <emph type="smallcaps"/>L<emph.end/> ad <emph type="smallcaps"/>N<emph.end/> perducendae sunt lineae decusatim. </s><s>et ita erunt |
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675 aequaliter ventorum octo spatia in circumitione. </s><s>quae cum |
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676 ita descripta erunt, in singulis angulis octagoni, cum a |
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677 meridie incipiemus, inter eurum et austrum in angulo erit |
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678 littera <emph type="smallcaps"/>G<emph.end/>, inter austrum et africum <emph type="smallcaps"/>H<emph.end/>, inter africum et |
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679 favonium <emph type="smallcaps"/>N<emph.end/>, inter favonium et caurum <emph type="smallcaps"/>O<emph.end/>, inter caurum |
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680 et septentrionem <emph type="smallcaps"/>K<emph.end/>, inter septentrionem et aquilonem <emph type="smallcaps"/>I<emph.end/>, |
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681 inter aquilonem et solanum <emph type="smallcaps"/>L<emph.end/>, inter solanum et eurum <emph type="smallcaps"/>M<emph.end/>. |
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682 ita his confectis inter angulos octagoni gnomon ponatur, |
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683 et ita dirigantur angiportorum divisiones. |
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684 </s></p></subchap2> |
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685 </subchap1> |
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686 <subchap1> |
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687 <subchap2><p type="main"><s> |
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688 Divisis angiportis et plateis constitutis arearum electio |
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689 ad opportunitatem et usum communem civitatis est explicanda aedibus sacris, foro reliquisque locis communibus. </s><s>et si erunt moenia secundum mare, area, ubi forum constituatur, eligenda proxime portum, sin autem mediterraneo, |
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690 in oppido medio. </s><s>aedibus vero sacris, quorum deorum |
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691 maxime in tutela civitas videtur esse, et Iovi et Iunoni |
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692 et Minervae, in excelsissimo loco, unde moenium maxima |
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693 pars conspiciatur, areae distribuantur. </s><s>Mercurio autem in |
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694 foro aut etiam, ut Isidi et Serapi, in emporio; Apollini |
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695 Patrique Libero secundum theatrum; Herculi, in quibus |
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696 civitatibus non sunt gymnasia neque amphitheatra, ad |
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697 circum; Marti extra urbem sed ad campum; itemque Veneri |
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698 ad portum. </s> |
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699 </p> |
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700 <p type="main"><s> |
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701 Id autem etiam Etruscis haruspicibus disciplinarum scripturis ita est dedicatum, extra murum Veneris, |
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702 Volcani, Martis fana ideo conlocari, uti non insuescat in |
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703 urbe adulescentibus seu matribus familiarum veneria libido, |
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704 Volcanique vi e moenibus religionibus et sacrificiis evocata |
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705 ab timore incendiorum aedificia videantur liberari. </s><s>Martis |
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706 vero divinitas cum sit extra moenia dedicata, non erit |
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707 inter cives armigera dissensio, sed ab hostibus ea defensa belli periculo conservabit. |
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708 </s></p></subchap2> |
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709 <subchap2><p type="main"><s> |
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710 Item Cereri extra urbem loco, quo <non quolibet> nomine semper homines nisi per sacrificium necesse habeant adire; cum religione, caste sanctisque moribus is locus debet tueri. </s><s>ceterisque diis ad |
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711 sacrificiorum rationes aptae templis areae sunt distribuendae. |
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712 </s> |
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713 </p> |
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714 <p type="main"><s> |
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715 De ipsis autem aedibus sacris faciundis et de earum |
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716 symmetriis in tertio et quarto volumine reddam rationes, |
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717 quia in secundo visum est mihi primum de materiae copiis, |
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718 quae in aedificiis sunt parandae, quibus sint virtutibus et |
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719 quem habeant usum, exponere, <deinde> commensus aedificiorum et ordines et genera singula symmetriarum |
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720 peragere et in singulis voluminibus explicare. |
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721 </s></p></subchap2> |
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722 </subchap1> |
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723 </chap> |
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724 <chap> |
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725 <!-- 2,t,1,1 --> |
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726 <p type="head"><s>LIBER SECUNDUS</s></p> |
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727 <subchap1> |
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728 |
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729 <subchap2><p type="main"><s> |
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730 Dinocrates architectus cogitationibus et sollertia fretus, |
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731 cum Alexander rerum potiretur, profectus est e Macedonia |
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732 ad exercitum regiae cupidus commendationis. </s><s>is e patria |
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733 a propinquis et amicis tulit ad primos ordines et purpuratos litteras, ut aditus haberet faciliores, ab eisque |
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734 exceptus humane petît, uti quamprimum ad Alexandrum |
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735 perduceretur. </s><s>cum polliciti essent, tardiores fuerunt idoneum tempus expectantes. </s><s>itaque Dinocrates ab his se |
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736 existimans ludi ab se petît praesidium. </s><s>fuerat enim amplissima statura, facie grata, forma dignitateque summa. </s><s>his igitur naturae muneribus confisus vestimenta posuit |
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737 in hospitio et oleo corpus perunxit caputque coronavit populea fronde, laevum umerum pelle leonina texit, dextraque clavam tenens incessit contra tribunal regis ius dicentis. |
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738 </s></p></subchap2> |
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739 <subchap2><p type="main"><s> |
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740 Novitas populum cum avertisset, conspexit eum Alexander. </s><s>admirans ei iussit locum dari, ut accederet, |
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741 interrogavitque, quis esset. </s><s>at ille: 'Dinocrates', inquit, |
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742 'architectus Macedo, qui ad te cogitationes et formas adfero dignas tuae claritati. </s><s>namque Athon montem formavi in statuae virilis figuram, cuius manu laeva designavi |
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743 civitatis amplissimae moenia, dextera pateram, quae exciperet omnium fluminum, quae sunt in eo monte, aquam, ut inde in mare profunderetur'. |
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744 </s></p></subchap2> |
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745 <subchap2><p type="main"><s> |
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746 Delectatus Alexander ratione formae statim quaesiit, si essent agri circa, qui |
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747 possent frumentaria ratione eam civitatem tueri. </s><s>cum invenisset non posse nisi transmarinis subvectionibus: 'Dinocrates', inquit, 'attendo egregiam formae compositionem et ea delector, sed animadverto, si qui deduxerit eo loci |
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748 coloniam, fore ut iudicium eius vituperetur. </s><s>ut enim natus infans sine nutricis lacte non potest ali neque ad vitae |
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749 crescentis gradus perduci, sic civitas sine agris et eorum fructibus in moenibus affluentibus non potest crescere nec |
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750 sine abundantia cibi frequentiam habere populumque sine copia tueri. </s><s>itaque quemadmodum formationem puto probandam, sic iudico locum inprobandum; teque volo esse mecum, quod tua opera sum usurus'. |
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751 </s></p></subchap2> |
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752 <subchap2><p type="main"><s> |
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753 Ex eo Dinocrates ab rege non discessit et in Aegyptum est eum persecutus. </s><s>ibi Alexander cum animadvertisset portum naturaliter |
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754 tutum, emporium egregium, campos circa totam Aegyptum |
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755 frumentarios, inmanis fluminis Nili magnas utilitates, iussit |
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756 eum suo nomine civitatem Alexandriam constituere. </s><s>ita |
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757 Dinocrates a facie dignitateque corporis commendatus ad |
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758 eam nobilitatem pervenit. </s><s>mihi autem, imperator, staturam |
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759 non tribuit natura, faciem deformavit aetas, valetudo detraxit vires. </s><s>itaque quoniam ab his praesidiis sum desertus, |
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760 per auxilia scientiae scriptaque, ut spero, perveniam ad |
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761 commendationem. |
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762 </s></p></subchap2> |
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763 <subchap2><p type="main"><s> |
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764 Cum autem <quae> primo volumine de officio architecturae terminationibusque artis perscripsi, item de moenibus et intra moenia arearum divisionibus, insequatur ordo de aedibus sacris et publicis aedificiis itemque privatis, |
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765 quibus proportionibus et symmetriis debeant esse, uti explicentur, non putavi ante ponendum, nisi prius de materiae |
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766 copiis, e quibus conlatis aedificia structuris et materiationibus perficiuntur, quas habeant in usu virtutes, exposuissem, quibusque rerum natura e principiis essent temperatae, dixissem. </s><s>sed antequam naturales res incipiam |
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767 explicare, de aedificiorum rationibus, unde initia ceperint |
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768 et uti creverint eorum inventiones, ante ponam, et insequar |
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769 ingressus eorum, qui antiquitates rerum naturae et initia |
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770 humanitatis et inventiones perquisitas scriptorum praeceptis dedicaverunt. </s><s>itaque quemadmodum ab his sum |
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771 institutus, exponam. |
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772 </s></p></subchap2> |
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773 </subchap1> |
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774 <subchap1> |
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775 <subchap2><p type="main"><s> |
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776 Homines vetere more ut ferae in silvis et speluncis et |
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777 nemoribus nascebantur ciboque agresti vescendo vitam exigebant. </s><s>interea quodam in loco ab tempestatibus et ventis |
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778 densae crebritatibus arbores agitatae et inter se terentes |
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779 ramos ignem excitaverunt, et eius flamma vehementi perterriti, qui circa eum locum fuerunt, sunt fugati. </s><s>postea |
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780 re quieta propius accedentes cum animadvertissent commoditatem esse magnam corporibus ignis teporem, ligna |
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781 adicientes et îs conservantes alios adducebant et nutu |
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782 monstrantes ostendebant, quas haberent ex eo utilitates. </s><s>in eo hominum congressu cum profundebantur aliter <atque |
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783 aliter> e spiritu voces, cotidiana consuetudine vocabula, ut |
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784 obtigerant, constituerunt, deinde significando res saepius in |
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785 usu ex eventu fari fortuito coeperunt et ita sermones inter se procreaverunt. |
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786 </s></p></subchap2> |
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787 <subchap2><p type="main"><s> |
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788 Ergo cum propter ignis inventionem conventus initio apud homines et concilium et convictus esset |
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789 natus, et in unum locum plures convenirent habentes ab |
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790 natura praemium praeter reliqua animalia, ut non proni |
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791 sed erecti ambularent mundique et astrorum magnificentiam aspicerent, item manibus et articulis quam vellent rem |
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792 faciliter tractarent, coeperunt in eo coetu alii de fronde |
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793 facere tecta, alii speluncas fodere sub montibus, nonnulli |
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794 hirundinum nidos et aedificationes †earum imitantes de |
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795 luto et virgulis facere loca, quae subirent. </s><s>tunc observantes |
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796 aliena tecta et adicientes suis cogitationibus res novas, efficiebant in dies meliora genera casarum. |
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797 </s></p></subchap2> |
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798 <subchap2><p type="main"><s> |
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799 Cum essent autem homines imitabili docilique natura, cotidie inventionibus gloriantes alius alii ostendebant aedificiorum effectus, et ita exercentes ingenia certationibus in dies melioribus iudiciis efficiebantur. </s><s>primumque furcis erectis et |
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800 virgulis interpositis luto parietes texerunt. </s><s>alii luteas glaebas arefacientes struebant parietes, materia eos iugumentantes, vitandoque imbres et aestus tegebant harundinibus |
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801 et fronde. </s><s>posteaquam per hibernas tempestates tecta non |
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802 potuerunt imbres sustinere, fastigia facientes, luto inducto |
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803 proclinatis tectis, stillicidia deducebant. |
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804 </s></p></subchap2> |
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805 <subchap2><p type="main"><s> |
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806 Haec autem ex îs, quae supra scriptae sunt, originibus |
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807 instituta esse possumus sic animadvertere, quod ad hunc |
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808 diem nationibus exteris ex his rebus aedificia constituuntur, |
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809 uti Gallia, Hispania, Lusitania, Aquitania scandulis robusteis aut stramentis. </s><s>apud nationem Colchorum in Ponto |
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810 propter silvarum abundantiam arboribus perpetuis planis |
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811 dextra ac sinistra in terra positis, spatio inter eas relicto |
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812 quanto arborum longitudines patiuntur, conlocantur in |
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813 extremis partibus earum supra alterae transversae, quae |
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814 circumcludunt medium spatium habitationis. </s><s>tum insuper |
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815 alternis trabibus ex quattuor partibus angulos iugumentantes et ita parietes arboribus statuentes ad perpendiculum imarum educunt ad altitudinem turres, intervallaque, quae relinquuntur propter crassitudinem materiae, |
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816 schidiis et luto obstruunt. </s><s>item tecta, recidentes ad extremos |
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817 <angulos> transtra, traiciunt gradatim contrahentes, |
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818 et ita ex quattuor partibus ad altitudinem educunt medio |
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819 metas, quas fronde et luto tegentes efficiunt barbarico more testudinata turrium tecta. |
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820 </s></p></subchap2> |
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821 <subchap2><p type="main"><s> |
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822 Phryges vero, qui campestribus locis sunt habitantes, propter inopiam silvarum |
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823 egentes materiae eligunt tumulos naturales eosque medios |
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824 fossura detegentes et itinera perfodientes dilatant spatia, |
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825 quantum natura loci patitur. </s><s>insuper autem stipites inter |
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826 se religantes metas efficiunt, quas harundinibus et sarmentis tegentes exaggerant supra habitationes e terra |
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827 maximos grumos. </s><s>ita hiemes calidissimas, aestates frigidissimas efficiunt tectorum rationes. </s><s>nonnulli ex ulva |
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828 palustri componunt tuguria tecta. </s><s>apud ceteras quoque |
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829 gentes ex cannula pari similique ratione casarum perficiuntur constitutiones. </s><s>non minus etiam Massiliae animadvertere possumus sine tegulis subacta cum paleis terra tecta. </s><s>Athenis Areopagi antiquitatis exemplar ad hoc |
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830 tempus luto tectum. </s><s>item in Capitolio commonefacere |
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831 potest et significare mores vetustatis Romuli casa et in arce sacrorum stramentis tecta. |
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832 </s></p></subchap2> |
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833 <subchap2><p type="main"><s> |
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834 Ita his signis de antiquis inventionibus aedificiorum, sic ea fuisse ratiocinantes, |
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835 possumus iudicare. |
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836 </s> |
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837 </p><p type="main"><s> |
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838 Cum autem cotidie faciendo tritiores manus ad aedificandum perfecissent et sollertia ingenia exercendo per |
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839 consuetudinem ad artes pervenissent, tum etiam industria |
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840 in animis eorum adiecta perfecit, ut, qui fuerunt in his |
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841 studiosiores, fabros esse se profiterentur. </s><s>cum ergo haec |
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842 ita fuerint primo constituta et natura non solum sensibus |
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843 ornavisset gentes quemadmodum reliqua animalia, sed etiam |
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844 cogitationibus et consiliis armavisset mentes et subiecisset |
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845 cetera animalia sub potestate, tunc vero ex fabricationibus |
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846 aedificiorum gradatim progressi ad ceteras artes et disciplinas, e fera agrestique vita ad mansuetam perduxerunt humanitatem. |
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847 </s></p></subchap2> |
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848 <subchap2><p type="main"><s> |
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849 Tum autem struentes animose et aevo prospicientes maioribus cogitationibus ex varietate artium |
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850 natis, non casas sed etiam domos fundatas et latericiis |
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851 parietibus aut e lapide structas materiaque et tegula tectas perficere coeperunt, deinde observationibus studiorum |
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852 e vagantibus iudiciis et incertis ad certas symmetriarum |
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853 perduxerunt rationes. </s><s>posteaquam animadverterunt profusos esse partus naturae et abundantem materiae copiam |
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854 ad aedificationes ab ea comparatam, tractando nutrierunt |
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855 et auctam per artes ornaverunt voluptatibus elegantiam |
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856 vitae. </s><s>igitur de his rebus, quae sunt in aedificiis ad usum |
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857 idoneae, quibusque sunt qualitatibus et quas habeant virtutes, ut potuero, dicam. |
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858 </s></p></subchap2> |
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859 <subchap2><p type="main"><s> |
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860 Sed si qui de ordine huius libri disputare voluerit, quod |
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861 putaverit eum primum institui oportuisse, ne putet me |
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862 erravisse, sic reddam rationem. </s><s>cum corpus architecturae |
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863 scriberem, primo volumine putavi, quibus eruditionibus et |
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864 disciplinis esset ornata, <oportere> exponere finireque terminationibus eius species et, e quibus rebus esset nata, |
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865 dicere. </s><s>ergo in primo de artis officio itemque, quid oporteat esse in architecto, ibi pronuntiavi. </s><s>in hoc de naturalibus materiae rebus, quem habeant usum, disputabo. </s><s>namque hic liber non profitetur, unde architectura nascatur, |
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866 sed unde origines aedificiorum sunt institutae et quibus |
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867 rationibus enutritae et progressae sint gradatim ad hanc finitionem. |
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868 </s></p></subchap2> |
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869 <subchap2><p type="main"><s> |
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870 Ergo ita suo ordine et loco huius erit voluminis constitutio. |
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871 </s> |
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872 </p> |
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873 <p type="main"><s> |
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874 Nunc revertar ad propositum et de copiis, quae aptae |
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875 sunt aedificiorum perfectionibus, quemadmodum videantur |
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876 esse ab natura rerum procreatae quibusque mixtionibus |
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877 principiorum congressus temperentur, ne obscura sed perspicua legentibus sint, ratiocinabor. </s><s>namque nulla materiarum genera neque corpora neque res sine principiorum |
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878 coetu nasci neque subici intellectui possunt, neque aliter |
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879 natura rerum praeceptis physicorum veras patitur habere |
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880 explicationes, nisi causae, quae insunt in his rebus quemadmodum et quid ita sint, subtilibus rationibus habeant |
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881 demonstrationes. |
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882 </s></p></subchap2> |
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883 </subchap1> |
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884 <subchap1> |
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885 <subchap2><p type="main"><s> |
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886 Thales primum aquam putavit omnium rerum esse principium; Heraclitus Ephesius, qui propter obscuritatem |
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887 scriptorum a Graecis <foreign lang="greek">skoteino\s</foreign> est appellatus, ignem; Democritus quique est eum secutus Epicurus atomos, quas nostri insecabilia corpora, nonnulli individua vocitaverunt; |
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888 Pythagoreorum vero disciplina adiecit ad aquam et ignem |
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889 aera et terrenum. </s><s>ergo Democritus, etsi non proprie res |
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890 nominavit sed tantum individua corpora proposuit, ideo |
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891 ea ipsa dixisse videtur, quod ea, cum sint disiuncta, nec |
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892 laeduntur nec interitionem recipiunt nec sectionibus dividuntur, sed sempiterno aevo perpetuo infinitam retinent |
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893 </s></p></subchap2> |
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894 <subchap2><p type="main"><s> |
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895 in se soliditatem. </s><s>ex his ergo congruentibus cum res omnes coire nascique videantur et hae in infinitis generibus |
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896 rerum naturae sint disparatae, putavi oportere de varietatibus et discriminibus usus earum quasque haberent in |
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897 aedificiis qualitates exponere, uti, cum fuerint notae, non |
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898 habeant qui aedificare cogitant errorem, sed aptas ad |
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899 usum copias aedificiis comparent. |
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900 </s></p></subchap2> |
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901 </subchap1> |
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902 <subchap1> |
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903 <subchap2><p type="main"><s> |
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904 Itaque primum de lateribus, qua de terra duci eos oporteat, dicam. </s><s>non enim de harenoso neque calculoso luto |
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905 neque sabulone soluto sunt ducendi, quod, ex his generibus |
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906 cum sint ducti, primum fiunt graves, deinde, cum ab imbribus in parietibus sparguntur, dilabuntur et dissolvuntur |
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907 paleaeque in his non cohaerescunt propter asperitatem. </s><s>faciendi autem sunt ex terra albida cretosa sive de rubrica aut etiam masculo sabulone; haec enim genera propter |
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908 levitatem habent firmitatem et non sunt in opere ponde rosa et faciliter aggerantur. |
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909 </s></p></subchap2> |
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910 <subchap2><p type="main"><s> |
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911 Ducendi autem sunt per vernum tempus et autumnale, ut uno tenore siccescant. </s><s>qui |
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912 enim per solstitium parantur, ideo vitiosi fiunt, quod, summum corium sol acriter cum praecoquit, efficit, ut videatur |
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913 aridum, interior autem sit non siccus; et cum postea siccescendo se contrahit, perrumpit ea, quae erant arida. </s><s>ita |
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914 rimosi facti efficiuntur inbecilli. </s><s>maxime autem utiliores |
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915 erunt, si ante biennium fuerint ducti; namque non ante |
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916 possunt penitus siccescere. </s><s>itaque cum recentes et non |
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917 aridi sunt structi, tectorio inducto rigidoque obsolidate permanente, ipsi sidentes non possunt eandem altitudinem, qua |
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918 est tectorium, tenere contractioneque moti non haerent cum |
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919 eo, sed ab coniunctione eius disparantur; igitur tectoria |
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920 ab structura seiuncta propter tenuitatem per se stare non |
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921 possunt, sed franguntur, ipsique parietes fortuito sidentes |
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922 vitiantur. </s><s>ideo etiam Uticenses laterem, si sit aridus et |
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923 ante quinquennium ductus, cum arbitrio magistratus fuerit ita probatus, tunc utuntur in parietum structuris. |
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924 </s></p></subchap2> |
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925 <subchap2><p type="main"><s> |
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926 Fiunt autem laterum genera tria: unum, quod graece Lydium |
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927 appellatur, id est quo nostri utuntur, longum sesquipede, |
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928 latum pede. </s><s>ceteris duobus Graecorum aedificia struuntur; |
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929 ex his unum <foreign lang="greek">penta/dwron</foreign>, alterum <foreign lang="greek">tetra/dwron</foreign> dicitur. |
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930 <foreign lang="greek">dw=ron</foreign> autem Graeci appellant palmum, quod munerum |
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931 datio graece <foreign lang="greek">dw=ron</foreign> appellatur, id autem semper geritur |
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932 per manus palmum. </s><s>ita quod est quoquoversus quinque |
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933 palmorum, pentadoron, quod quattuor, tetradoron dicitur, |
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934 et quae sunt publica opera, <foreign lang="greek">penta/dwrws</foreign>, quae privata, <foreign lang="greek">tetra/dwrws</foreign> struuntur. |
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935 </s></p></subchap2> |
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936 <subchap2><p type="main"><s> |
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937 Fiunt autem cum his lateribus semilateria. </s><s>quae cum struuntur, una parte lateribus ordines, |
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938 altera semilateres ponuntur. </s><s>ergo ex utraque parte ad |
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939 lineam cum struuntur, alternis coriis parietes alligantur |
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940 et medii lateres supra coagmenta conlocati et firmitatem |
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941 et speciem faciunt utraque parte non invenustam. |
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942 </s> |
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943 </p><p type="main"><s> |
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944 Est autem in Hispania ulteriore civitas Maxilua et |
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945 Callet et in Asia Pitane, ubi lateres, cum sunt ducti et |
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946 arefacti, proiecti natant in aqua. </s><s>natare autem eos posse |
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947 ideo videtur, quod terra est, de qua ducuntur, pumicosa. </s><s>ita cum est levis, aere solidata non recipit in se nec combibit liquorem. </s><s>igitur levi raraque cum sit proprietate, |
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948 quocumque pondere fuerit, cogitur ab rerum natura, quemadmodum pumex uti ab aqua sustineatur. </s><s>sic autem magnas habent utilitates, quod neque in aedificationibus sunt |
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949 onerosi et, cum non patiantur penetrare in corpus umidam potestatem, a tempestatibus non dissolvuntur. |
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950 </s></p></subchap2> |
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951 </subchap1> |
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952 <subchap1> |
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953 <subchap2><p type="main"><s> |
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954 In caementiciis autem structuris primum est de harena |
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955 quaerendum, ut ea sit idonea ad materiem miscendam neque habeat terram commixtam. </s><s>genera autem harenae fossiciae sunt haec: nigra, cana, rubra, carbunculus. </s><s>ex his |
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956 quae in manu confricata fecerit stridorem, erit optima; |
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957 quae autem terrosa fuerit, non habebit asperitatem. </s><s>item |
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958 si in vestimentum candidum ea coniecta fuerit, postea excussa vel icta id non inquinarit neque ibi terra subsiderit, erit idonea. |
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959 </s></p></subchap2> |
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960 <subchap2><p type="main"><s> |
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961 Sin autem non erunt harenaria, unde fodiatur, |
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962 tum de fluminibus aut e glarea erit excernenda, non minus |
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963 etiam de litore marino. </s><s>sed ea in structuris haec habet |
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964 vitia: difficulter siccescit, neque onerari se continenter |
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965 paries patitur, nisi intermissionibus requiescat, neque concamerationes recipit. </s><s>marina autem hoc amplius, quod |
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966 etiam parietes, cum in îs tectoria facta fuerint, remittente se salsugine eorum dissolvuntur. |
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967 </s></p></subchap2> |
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968 <subchap2><p type="main"><s> |
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969 Fossiciae vero celeriter in structuris siccescunt, et tectoria permanent, et |
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970 concamerationes patiuntur, sed eae, quae sunt de harenariis recentes. </s><s>si enim exemptae diutius iacent, ab sole |
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971 et luna et pruina concoctae resolvuntur et fiunt terrosae. </s><s>ita cum in structuram coiciuntur, non possunt continere |
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972 caementa, sed ea ruunt et labuntur oneraque parietes non |
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973 possunt sustinere. </s><s>recentes autem fossiciae cum in structuris tantas habeant virtutes, eae in tectoriis ideo non |
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974 sunt utiles, quod pinguitudini eius calx commixta propter |
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975 vehementiam non potest sine rimis inarescere. </s><s>fluviatica |
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976 vero propter macritatem uti signinum liaculorum subactionibus in tectorio recipit soliditatem. |
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977 </s></p></subchap2> |
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978 </subchap1> |
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979 <subchap1> |
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980 <subchap2><p type="main"><s> |
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981 De harenae copiis cum habeatur explicatum, tum etiam |
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982 de calce diligentia est adhibenda, uti de albo saxo aut |
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983 silice coquatur; et quae erit ex spisso et duriore, erit utilis |
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984 in structura, quae autem ex fistuloso, in tectoriis. </s><s>cum ea |
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985 erit extincta, tunc materia ita misceatur, ut, si erit fossicia, |
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986 tres harenae et una calcis infundatur; si autem fluviatica |
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987 aut marina, duo harenae, una calcis coiciatur. </s><s>ita enim |
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988 erit iusta ratio mixtionis temperaturae. </s><s>etiam in fluviatica |
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989 aut marina si qui testam tunsam et succretam ex tertia |
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990 parte adiecerit, efficiet materiae temperaturam ad usum meliorem. |
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991 </s></p></subchap2> |
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992 <subchap2><p type="main"><s> |
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993 Quare autem cum recipit aquam et harenam |
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994 calx, tunc confirmat structuram, haec esse causa videtur, |
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995 quod e principiis, uti cetera corpora, ita et saxa sunt temperata. </s><s>et quae plus habent aeris, sunt tenera; quae aquae, |
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996 lenta sunt ab umore; quae terrae, dura; quae ignis, fragiliora. </s><s>itaque ex his saxa si, antequam coquantur, contusa minute |
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997 mixta harenae in structuram coiciantur, non solidescunt |
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998 nec eam poterunt continere. </s><s>cum vero coniecta in fornacem ignis vehementi fervore correpta amiserint pristinae |
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999 soliditatis virtutem, tunc exustis atque exhaustis eorum |
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1000 viribus relinquuntur patentibus foraminibus et inanibus. |
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1001 </s></p></subchap2> |
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1002 <subchap2><p type="main"><s> |
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1003 (ideo autem, quo pondere saxa coiciuntur in fornacem, cum eximuntur, non possunt ad id respondere, sed cum expenduntur, permanente ea magnitudine, excocto liquore circiter tertia parte ponderis inminuta esse inveniuntur.) |
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1004 Ergo liquor, qui est in eius lapidis corpore, et aer cum |
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1005 exustus et ereptus fuerit, habueritque in se residuum |
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1006 calorem latentem, prius quem ex ignis vi recepit, intinctus in aqua, umore penetrante in foraminum raritates, |
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1007 confervescit et ita refrigeratus reicit ex calcis corpore |
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1008 fervorem. </s><s>igitur cum patent foramina eorum et raritates, |
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1009 harenae mixtionem in se corripiunt et ita cohaerescunt |
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1010 siccescendoque cum caementis coeunt et efficiunt structurarum soliditatem. |
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1011 </s></p></subchap2> |
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1012 </subchap1> |
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1013 <subchap1> |
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1014 <subchap2><p type="main"><s> |
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1015 Est etiam genus pulveris, quod efficit naturaliter res |
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1016 admirandas. </s><s>nascitur in regionibus Baianis in agris municipiorum, quae sunt circa Vesuvium montem. </s><s>quod commixtum cum calce et caemento non modo ceteris aedificiis praestat firmitates, sed etiam moles cum struuntur |
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1017 in mari, sub aqua solidescunt. </s><s>hoc autem fieri hac ratione |
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1018 videtur, quod sub his montibus et terrae ferventes sunt |
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1019 et fontes crebri, qui non essent, si non in imo haberent |
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1020 aut e sulphure aut alumine aut bitumine ardentes maximos ignes. </s><s>igitur penitus ignis et flammae vapor per |
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1021 intervenia permanans et ardens efficit levem eam terram, |
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1022 et ibi quod nascitur tofus exsurgens, est sine liquore. </s><s>ergo |
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1023 cum tres res consimili ratione ignis vehementia foratae |
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1024 in unam pervenerint mixtionem, repente recepto liquore |
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1025 una cohaerescunt et celeriter umore duratae solidantur, neque eas fluctus neque vis aquae potest dissolvere. |
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1026 </s></p></subchap2> |
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1027 <subchap2><p type="main"><s> |
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1028 Ardores autem esse in his locis etiam haec res potest indicare, quod in montibus Cumanorum Baianis sunt loca |
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1029 sudationibus excavata, in quibus vapor fervidus ab imo |
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1030 nascens ignis vehementia perforat eam terram per eamque manando in his locis oritur et ita sudationum egregias |
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1031 efficit utilitates. </s><s>non minus etiam memorantur antiquitus |
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1032 crevisse ardores et abundavisse sub Vesuvio monte et inde |
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1033 evomuisse circa agros flammam. </s><s>ideoque tunc quae spongia |
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1034 sive pumex Pompeianus vocatur excocto ex alio genere |
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1035 lapidis in hanc redacta esse videtur generis qualitatem. |
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1036 </s></p></subchap2> |
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1037 <subchap2><p type="main"><s> |
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1038 Id autem genus spongiae, quod inde eximitur, non in |
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1039 omnibus locis nascitur nisi circum Aetnam et collibus |
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1040 Mysiae, quae a Graecis <foreign lang="greek">*katakekau/menh</foreign> nominatur, et si |
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1041 quae eiusdem modi sunt locorum proprietates. </s><s>si ergo in |
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1042 his locis aquarum ferventes inveniuntur fontes et montibus excavatis calidi vapores ipsaque loca ab antiquis |
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1043 memorantur pervagantes in agris habuisse ardores, videtur |
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1044 esse certum ab ignis vehementia ex tofo terraque, quemadmodum in fornacibus ex calce, ita ex his ereptum esse liquorem. |
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1045 </s></p></subchap2> |
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1046 <subchap2><p type="main"><s> |
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1047 Igitur dissimilibus et disparibus rebus correptis |
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1048 et in udam potestatem conlatis, calida umoris ieiunitas |
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1049 aqua repente satiata latenti calore confervescit et vehementer efficit ea coire celeriterque communibus corporibus |
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1050 unam soliditatis percipere virtutem. |
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1051 </s> |
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1052 </p><p type="main"><s> |
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1053 Relinquetur desideratio, quoniam item sunt in Etruria |
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1054 ex aqua calida crebri fontes, quid ita non etiam ibi nascitur pulvis, e quo eadem ratione sub aqua structura solidescat. </s><s>itaque visum est, antequam desideraretur, de his rebus, quemadmodum esse videantur, exponere. |
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1055 </s></p></subchap2> |
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1056 <subchap2><p type="main"><s> |
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1057 Omnibus locis et regionibus non eadem genera terrae nec lapides |
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1058 nascuntur, sed nonnulla sunt terrena, alia sabulosa itemque glareosa, aliis locis harenosa, non minus materia, et |
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1059 omnino dissimili disparique genere in regionum varietatibus qualitates insunt in terra. </s><s>maxime autem id sic licet |
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1060 considerare, quod, qua mons Appenninus regiones Italiae |
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1061 Etruriaeque circa cingit, prope in omnibus locis non desunt fossicia harenaria, trans Appenninum vero, quae pars |
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1062 est ad Adriaticum mare, nulla inveniuntur, item Achaia, |
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1063 Asia, omnino trans mare, nec nominantur quidem. </s><s>igitur |
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1064 non in omnibus locis, quibus effervent aquae calidae crebri |
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1065 fontes, eaedem opportunitates possunt similiter concurrere, |
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1066 sed omnia, uti natura rerum constituit, non ad voluptatem hominum, sed ut fortuito disparata procreantur. |
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1067 </s></p></subchap2> |
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|
1068 <subchap2><p type="main"><s> |
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1069 Ergo quibus locis non sunt terrosi montes sed genere materiae, (est |
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1070 autem materiae potestas mollior quam tofus, solidior quam |
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1071 terra) ignis vis per eius venas egrediens adurit eam. </s><s>quod est molle et tenerum, exurit, quod autem asperum, |
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1072 relinquit; quo penitus ab imo vehementia vaporis adusto, |
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1073 nonnullis locis procreatur id genus harenae, quod dicitur |
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1074 carbunculus. </s><s>itaque uti Campania exusta terra cinis, sic |
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1075 in Etruria excocta materia efficitur carbunculus. </s><s>utraque |
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1076 autem sunt egregia in structuris, sed alia in terrenis aedificiis, alia etiam in maritimis molibus habent virtutem. |
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|
1077 </s></p></subchap2> |
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|
1078 </subchap1> |
|
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|
1079 <subchap1> |
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1080 <subchap2><p type="main"><s> |
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1081 De calce et harena, quibus varietatibus sint et quas |
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1082 habeant virtutes, dixi. </s><s>sequitur ordo de lapidicinis explicare, de quibus et quadrata saxa et caementorum ad |
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1083 aedificia eximuntur copiae et comparantur. </s><s>haec autem |
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1084 inveniuntur esse disparibus et dissimilibus virtutibus. </s><s>sunt |
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1085 enim aliae molles, uti sunt circa urbem Rubrae, Pallenses, |
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1086 Fidenates, Albanae; aliae temperatae, uti Tiburtinae, Amiterninae, Soractinae et quae sunt his generibus; nonnullae |
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1087 durae, uti siliceae. </s><s>sunt etiam alia genera plura, uti in |
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1088 Campania rubrûm et nigrûm tofûm, in Umbria et Piceno |
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1089 et in Venetia albus, quod etiam serra dentata uti lignum secatur. |
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1090 </s></p></subchap2> |
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|
1091 <subchap2><p type="main"><s> |
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1092 Sed haec omnia, quae mollia sunt, hanc habent utilitatem, quod ex his saxa cum sunt exempta, in |
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1093 opere faciliter tractantur. </s><s>et si sunt in locis tectis, sustineant laborem, si autem in apertis et patentibus, gelicidiis et pruina congesta friantur et dissolvuntur. </s><s>item secundum oram maritimam ab salsugine exesa diffluunt |
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1094 neque perferunt aestus. </s><s>Tiburtina vero et quae eodem |
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1095 genere sunt omnia, sufferunt et ab oneribus et a tempestatibus iniurias, sed ab igni non possunt esse tuta, simulque sunt ab eo tacta, dissiliunt et dissipantur, ideo quod temperatura naturali parvo sunt umore itemque non multum |
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1096 habent terreni, sed aeris plurimum et ignis. </s><s>igitur cum et |
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1097 umor et terrenum in his minus inest, tum etiam ignis, |
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1098 tactu et vi vaporis ex his aere fugato, penitus insequens |
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1099 interveniorum vacuitates occupans fervescit et efficit a suis ardentia corporibus <carbonibus> similia. |
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1100 </s></p></subchap2> |
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1101 <subchap2><p type="main"><s> |
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1102 Sunt vero item lapidicinae complures in finibus Tarquiniensium, |
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1103 quae dicuntur Anicianae, colore quemadmodum Albanae, |
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1104 quarum officinae maxime sunt circa lacum Vulsiniensem, |
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1105 item praefectura Statonensi. </s><s>haec autem habent infinitas virtutes; neque enim his gelicidiorum tempestas |
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1106 neque ignis tactus potest nocere, sed est firma et ad |
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1107 vetustatem ideo permanens, quod parum habet e naturae |
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1108 mixtione aeris et ignis, umoris autem temperate plurimumque terreni. </s><s>ita spissis comparationibus solidata neque ab tempestatibus neque ab ignis vehementia nocetur. |
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1109 </s></p></subchap2> |
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1110 <subchap2><p type="main"><s> |
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1111 Id autem maxime iudicare licet e monumentis, quae sunt circa municipium Ferenti ex his facta lapidicinis. </s><s>namque habent et |
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1112 statuas amplas factas egregie et minora sigilla floresque |
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1113 et acanthos eleganter scalptos; quae, cum sint vetusta, sic |
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1114 apparent recentia, uti si sint modo facta. </s><s>non minus etiam |
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1115 fabri aerarii de his lapidicinis in aeris flatura formis comparatis habent ex his ad aes fundendum maximas utilitates. </s><s>quae si prope urbem essent, dignum esset, ut ex his officinis omnia opera perficerentur. |
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1116 </s></p></subchap2> |
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1117 <subchap2><p type="main"><s> |
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1118 Cum ergo propter propinquitatem necessitas cogat ex Rubris lapidicinis et Pallensibus et quae sunt urbi proximae copiis uti, si qui voluerit sine vitiis perficere, ita erit praeparandum. </s><s>cum aedificandum fuerit, ante biennium ea saxa non hieme sed aestate |
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1119 eximantur et iacentia permaneant in locis patentibus. </s><s>quae |
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1120 autem eo biennio a tempestatibus tacta laesa fuerint, ea |
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1121 in fundamenta coiciantur; cetera, quae non erunt vitiata, |
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1122 ab natura rerum probata durare poterunt supra terram |
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1123 aedificata. </s><s>nec solum ea in quadratis lapidibus sunt observanda, sed etiam in caementiciis structuris. |
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1124 </s></p></subchap2> |
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1125 </subchap1> |
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1126 <subchap1> |
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1127 <subchap2><p type="main"><s> |
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1128 Structurarum genera sunt haec: reticulatum, quo nunc |
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1129 omnes utuntur, et antiquum, quod incertum dicitur. </s><s>ex |
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1130 his venustius est reticulatum, sed ad rimas faciendas ideo |
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1131 paratum, quod in omnes partes dissoluta habet cubilia et |
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1132 coagmenta. </s><s>incerta vero caementa alia super alia sedentia |
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1133 inter seque imbricata non speciosam sed firmiorem quam reticulata praestant structuram. |
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1134 </s></p></subchap2> |
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1135 <subchap2><p type="main"><s> |
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1136 Utraque autem ex minutissimis sunt instruenda, uti materia ex calce et harena |
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1137 crebriter parietes satiati diutius contineantur. </s><s>molli enim |
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1138 et rara potestate cum sint, exsiccant sugendo e materia |
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1139 sucum; cum autem superarit et abundarit copia calcis et |
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1140 harenae, paries plus habens umoris non cito fiet evanidus, |
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1141 sed ab his continetur. </s><s>simul autem umida potestas e materia |
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1142 per caementorum raritatem fuerit exsucta calxque ab harena |
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1143 discedat et dissolvatur, item caementa non possunt cum his |
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1144 cohaerere, sed in vetustatem parietes efficiunt ruinosos. |
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1145 </s></p></subchap2> |
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1146 <subchap2><p type="main"><s> |
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1147 Id autem licet animadvertere etiam de nonnullis monumentis, quae circa urbem facta sunt e marmore seu lapidibus quadratis intrinsecusque medio calcata: structuris |
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1148 vetustate evanida facta materia caementorumque exsucta |
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1149 raritate, proruunt et coagmentorum ab ruina dissolutis iuncturis dissipantur. |
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1150 </s></p></subchap2> |
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1151 <subchap2><p type="main"><s> |
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1152 Quodsi qui noluerit in id vitium incidere, medio cavo servato secundum orthostatas intrinsecus ex rubro saxo quadrato aut ex testa aut ex silicibus ordinariis struat bipedales parietes, et cum his |
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1153 ansis ferreis et plumbo frontes vinctae sint. </s><s>ita enim non |
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1154 acervatim, sed ordine structum opus poterit esse sine vitio |
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1155 sempiternum, quod cubilia et coagmenta eorum inter se |
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1156 sedentia et iuncturis alligata non protrudent opus neque |
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1157 orthostatas inter se religatos labi patiuntur. |
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1158 </s></p></subchap2> |
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1159 <subchap2><p type="main"><s> |
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1160 Itaque non est contemnenda Graecorum structura; non |
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1161 enim utuntur e molli caemento structura polita, sed cum |
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1162 discesserunt a quadrato, ponunt de silice seu lapide duro |
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1163 ordinaria, et ita uti latericia struentes alligant eorum |
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1164 alternis coriis coagmenta, et sic maxime ad aeternitatem |
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1165 firmas perficiunt virtutes. </s><s>haec autem duobus generibus |
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1166 struuntur; ex his unum isodomum, alterum pseudisodomum appellatur. |
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1167 </s></p></subchap2> |
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1168 <subchap2><p type="main"><s> |
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1169 Isodomum dicitur, cum omnia coria aequa crassitudine fuerint structa; pseudisodomum, cum inpares |
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1170 et inaequales ordines coriorum diriguntur. </s><s>ea utraque |
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1171 sunt ideo firma, primum quod ipsa caementa sunt spissa |
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1172 et solida proprietate neque de materia possunt exsugere |
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1173 liquorem, sed conservant eam in suo umore ad summam |
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1174 vetustatem; ipsaque eorum cubilia primum plana et librata |
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1175 posita non patiuntur ruere materiam, sed perpetua parietum crassitudine religata continent ad summam vetustatem. |
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1176 </s></p></subchap2> |
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1177 <subchap2><p type="main"><s> |
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1178 Altera est quam <foreign lang="greek">e)/mplekton</foreign> appellant, qua etiam nostri |
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1179 rustici utuntur. </s><s>quorum frontes poliuntur, reliqua ita, uti |
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1180 sunt nata, cum materia conlocata alternis alligant coagmentis. </s><s>sed nostri celeritati studentes, erecta conlocantes |
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1181 frontibus serviunt et in medio farciunt fractis separatim |
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1182 cum materia caementis. </s><s>ita tres suscitantur in ea structura crustae, duae frontium et una media farturae. </s><s>Graeci |
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1183 vero non ita, sed plana conlocantes et longitudines eorum |
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1184 alternis in crassitudinem instruentes, non media farciunt, |
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1185 sed e suis frontatis perpetuam et unam crassitudinem |
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1186 parietum consolidant. </s><s>praeterea interponunt singulos crassitudine perpetua utraque parte frontatos, quos <foreign lang="greek">dia/tonoi</foreign> appellant, qui maxime religando confirmant parietum soliditatem. |
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1187 </s></p></subchap2> |
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1188 <subchap2><p type="main"><s> |
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1189 Itaque si qui voluerit ex his commentariis animadvertere et eligere genus structurae, perpetuitatis poterit |
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1190 rationem habere. </s><s>non enim quae sunt e molli caemento |
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1191 subtili facie venustatis, non eae possunt esse in vetustate |
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1192 non ruinosae. </s><s>itaque cum arbitri communium parietum |
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1193 sumuntur, non aestimant eos quanti facti fuerint, sed cum |
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1194 ex tabulis inveniunt eorum locationes, pretia praeteritorum |
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1195 annorum singulorum deducunt octogesimas et ita—ex reliqua summa <pro rata> parte reddi pro his parietibus— |
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1196 sententiam pronuntiant eos non posse plus quam annos <emph type="smallcaps"/>LXXX<emph.end/> durare. |
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1197 </s></p></subchap2> |
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1198 <subchap2><p type="main"><s> |
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1199 De latericiis vero, dummodo ad perpendiculum sint |
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1200 stantes, nihil deducitur, sed quanti fuerint olim facti, tanti |
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1201 esse semper aestimantur. </s><s>itaque nonnullis civitatibus et |
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1202 publica opera et privatas domos etiam regias e latere |
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1203 structas licet videre: et primum Athenis murum, qui spectat ad Hymettum montem et Pentelensem; item Patris |
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1204 in aede Iovis et Herculis latericias cellas, cum circa lapidea in aede epistylia sint et columnae; in Italia Arretio |
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1205 vetustum egregie factum murum. </s><s>Trallibus domus regibus |
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1206 Attalicis facta, quae ad habitandum semper datur ei, qui |
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1207 civitatis gerit sacerdotium. </s><s>item Lacedaemone e quibusdam parietibus etiam picturae excisae intersectis lateribus inclusae sunt in ligneis formis et in comitium ad |
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1208 ornatum aedilitatis Varronis et Murenae fuerunt adlatae. |
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1209 </s></p></subchap2> |
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1210 <subchap2><p type="main"><s> |
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1211 Croesi domus, quam Sardiani [civibus ad requiescendum |
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1212 aetatis otio] seniorum collegio gerusiam dedicaverunt; item |
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1213 Halicarnasso potentissimi regis Mausoli domus, cum Proconnensio marmore omnia haberet ornata, parietes habet |
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1214 latere structos, qui ad hoc tempus egregiam praestant firmitatem ita tectoriis operibus expoliti, uti vitri perluciditatem videantur habere. </s><s>neque is rex ab inopia id fecit; |
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1215 infinitis enim vectigalibus erat fartus, quod imperabat Cariae toti. |
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1216 </s></p></subchap2> |
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1217 <subchap2><p type="main"><s> |
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1218 Acumen autem eius et sollertiam ad aedificia |
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1219 paranda sic licet considerare. </s><s>cum esset enim natus Mylasis et animadvertisset Halicarnasso locum naturaliter |
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1220 esse munitum, idoneum portum emporiumque utile, ibi |
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1221 sibi domum constituit. </s><s>is autem locus est theatri curvaturae similis. </s><s>itaque in imo secundum portum forum |
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1222 est constitutum; per mediam autem altitudinis curvaturam |
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1223 praecinctionemque platea ampla latitudine facta, in qua |
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1224 media Mausoleum ita egregiis operibus est factum, ut in |
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1225 septem spectaculis nominetur. </s><s>in summa arce media Martis |
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1226 fanum habens statuam colossicam acrolithon nobili manu |
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1227 Leocharis factam. </s><s>hanc autem statuam alii Leocharis, alii |
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1228 Timothei putant esse. </s><s>in cornu autem summo dextro |
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1229 Veneris et Mercurii fanum ad ipsum Salmacidis fontem. |
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1230 </s></p></subchap2> |
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1231 <subchap2><p type="main"><s> |
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1232 Is autem falsa opinione putatur venerio morbo inplicare |
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1233 eos, qui ex eo biberint. </s><s>sed haec opinio quare per orbem |
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1234 terrae falso rumore sit pervagata, non pigebit exponere. </s><s>non enim quod dicitur molles et inpudicos ex ea aqua |
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1235 fieri, id potest esse, sed est eius fontis potestas perlucida |
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1236 saporque egregius. </s><s>cum autem Melas et Areuanias ab Argis |
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1237 et Troezene coloniam communem eo loci deduxerunt, barbaros Caras et Lelegas eiecerunt. </s><s>hi autem ad montes |
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1238 fugati inter se congregantes discurrebant et ibi latrocinia |
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1239 facientes crudeliter eos vastabant. </s><s>postea de colonis unus |
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1240 ad eum fontem propter bonitatem aquae quaestus causa |
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1241 tabernam omnibus copiis instruxit eamque exercendo eos |
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1242 barbaros allectabat. </s><s>ita singillatim decurrentes et ad coetus |
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1243 convenientes e duro feroque more commutati in Graecorum consuetudinem et suavitatem sua voluntate reducebantur. </s><s>ergo ea aqua non inpudico morbi vitio, sed humanitatis dulcedine mollitis animis barbarorum eam famam |
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1244 est adepta. |
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1245 </s></p></subchap2> |
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1246 <subchap2><p type="main"><s> |
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1247 Relinquitur nunc, quoniam ad explicationem moenium |
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1248 eorum sum invectus, <ut> tota uti sunt definiam. </s><s>quemadmodum enim in dextra parte fanum est Veneris et fons |
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1249 supra scriptus, ita in sinistro cornu regia domus, quam |
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1250 rex Mausolus ad suam rationem conlocavit. </s><s>conspicitur |
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1251 enim ex ea ad dextram partem forum et portus moeniumque tota finitio, sub sinistram secretus sub moenibus latens |
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1252 portus, ita ut nemo possit, quid in eo geratur, aspicere |
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1253 nec scire, at rex ipse de sua domo remigibus et militibus sine ullo sciente, quae opus essent, imperaret. |
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1254 </s></p></subchap2> |
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1255 <subchap2><p type="main"><s> |
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1256 Itaque post mortem Mausoli Artemisia uxore eius regnante Rhodii |
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1257 indignantes mulierem imperare civitatibus Cariae totius, |
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1258 armata classe profecti sunt, uti id regnum occuparent. </s><s>tum Artemisiae cum esset id renuntiatum, in eo portu |
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1259 abstrusam classem celatis remigibus et epibatis comparatis, |
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1260 reliquos autem cives in muro esse iussit. </s><s>cum autem |
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1261 Rhodii ornata classe in portum maiorem exposuissent, |
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1262 plausum iussit ab muro his dare pollicerique se oppidum |
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1263 tradituros. </s><s>qui cum penetravissent intra murum relictis |
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1264 navibus inanibus, Artemisia repente fossa facta in pelagum eduxit classem ex portu minore et ita invecta est in |
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1265 maiorem. </s><s>expositis autem militibus classem Rhodiorum |
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1266 inanem abduxit in altum. </s><s>ita Rhodii non habentes, quo |
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1267 se reciperent, in medio conclusi in ipso foro sunt trucidati. |
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1268 </s></p></subchap2> |
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1269 <subchap2><p type="main"><s> |
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1270 Ita Artemisia in navibus Rhodiorum suis militibus et remigibus inpositis Rhodum est profecta. </s><s>Rhodii autem, |
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1271 cum prospexissent suas naves laureatas venire, opinantes |
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1272 cives victores reverti hostes receperunt. </s><s>tum Artemisia |
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1273 Rhodo capta principibus occisis tropaeum in urbe Rhodo |
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1274 suae victoriae constituit aeneasque duas statuas fecit, unam |
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1275 Rhodiorum civitatis, alteram suae imaginis, et ira figuravit Rhodiorum civitati stigmata inponentem. </s><s>id autem |
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1276 postea <tollere> Rhodii religione inpediti, quod nefas est |
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1277 tropaea dedicata removeri, circa eum locum aedificium |
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1278 struxerunt et id electa Graia statione texerunt, ne qui |
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1279 posset aspicere, et id <foreign lang="greek">a)/baton</foreign> vocitari iusserunt. |
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1280 </s></p></subchap2> |
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1281 <subchap2><p type="main"><s> |
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1282 Cum ergo tam magna potentia reges non contempserint |
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1283 latericiorum parietum structuras, quibus ex vectigalibus |
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1284 et praeda saepius licitum fuerat non modo caementicio |
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1285 aut quadrato saxo sed etiam marmoreo habere, non puto |
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1286 oportere inprobare quae sunt e latericia structura facta |
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1287 aedificia, dummodo recte sint tecta. </s><s>sed id genus quid |
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1288 ita populo Romano in urbe fieri non oporteat, exponam, |
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1289 quaeque sunt eius rei causae et rationes, non praetermittam. |
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1290 </s></p></subchap2> |
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1291 <subchap2><p type="main"><s> |
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1292 Leges publicae non patiuntur maiores crassitudines quam sesquipedales constitui loco communi; ceteri |
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1293 autem parietes, ne spatia angustiora fierent, eadem crassitudine conlocantur. </s><s>latericii vero, nisi diplinthii aut triplinthii fuerint, sesquipedali crassitudine non possunt plus |
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1294 quam unam sustinere contignationem. </s><s>in ea autem maiestate urbis et civium infinita frequentia innumerabiles habitationes opus est explicare. </s><s>ergo cum recipere non possint areae planatae tantam multitudinem ad habitandum |
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1295 in urbe, ad auxilium altitudinis aedificiorum res ipsa coegit |
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1296 devenire. </s><s>itaque pilis lapideis, structuris testaceis, parietibus caementiciis altitudines extructae contignationibus |
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1297 crebris coaxatae cenaculorum ad summas utilitates perficiunt despectationes. </s><s>ergo moenibus e contignationibus |
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1298 areis alto spatio multiplicatis populus Romanus egregias |
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1299 habet sine inpeditione habitationes. |
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1300 </s></p></subchap2> |
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1301 <subchap2><p type="main"><s> |
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1302 Quoniam ergo explicata ratio est, quid ita in urbe propter necessitatem angustiarum non patiuntur esse latericios parietes, cum extra urbem opus erit his uti. <ut sint> |
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1303 sine vitiis ad vetustatem, sic erit faciendum. </s><s>summis parietibus structura testacea sub tegula subiciatur altitudine |
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1304 circiter sesquipedali habeatque proiecturas coronarum. </s><s>ita |
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1305 vitari poterunt quae solent in his fieri vitia; cum enim in |
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1306 tecto tegulae fuerint fractae aut a ventis deiectae, qua |
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1307 possint ex imbribus aquae perpluere, non patietur lorica |
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1308 testacea laedi laterem, sed proiectura coronarum reiciet |
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1309 extra perpendiculum stillas et ea ratione servaverit integras parietum latericiorum structuras. |
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1310 </s></p></subchap2> |
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1311 <subchap2><p type="main"><s> |
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1312 De ipsa autem testa, si sit optima seu vitiosa ad structuram, statim nemo potest iudicare, quod in tempestatibus et aestate in tecto |
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1313 cum est conlocata, tunc, si est firma, probatur; namque |
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1314 quae non fuerit ex creta bona aut parum erit cocta, ibi |
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1315 se ostendet esse vitiosam gelicidiis et pruina tacta. </s><s>ergo |
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1316 quae non in tectis poterit pati laborem, ea non potest in |
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1317 structura oneri ferendo esse firma. </s><s>quare maxime ex veteribus tegulis tecta <et ex vetere testa> structi parietes |
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1318 firmitatem poterunt habere. |
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1319 </s></p></subchap2> |
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1320 <subchap2><p type="main"><s> |
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1321 Craticii vero velim quidem ne inventi essent; quantum enim celeritate et loci laxamento prosunt, tanto maiori et |
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1322 communi sunt calamitati, quod ad incendia uti faces sunt |
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1323 parati. </s><s>itaque satius esse videtur inpensa testaceorum in |
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1324 sumptu, quam compendio craticiorum esse in periculo. </s><s>etiamque in tectoriis operibus rimas hi faciunt arrectariorum et transversariorum dispositione. </s><s>cum enim linuntur, recipientes umorem turgescunt, deinde siccescendo |
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1325 contrahuntur et ita extenuati disrumpunt tectoriorum soliditatem. </s><s>sed quoniam nonnullos celeritas aut inopia aut |
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1326 in pendenti loco dissaeptio cogit, sic erit faciundum. </s><s>solum substruatur [aliae], ut sit intactum ab rudere et pavimento; obruta enim in his cum sunt, vetustate marcida |
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1327 fiunt; deinde subsidentia proclinantur et disrumpunt speciem tectoriorum. |
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1328 </s> |
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1329 </p><p type="main"><s> |
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1330 De parietibus et apparitione generatim materiae eorum, |
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1331 quibus sint virtutibus et vitiis, quemadmodum potui, exposui; de contignationibus autem et copiis earum, quibus |
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1332 comparentur, ut ad vetustatem non sint infirmae, uti natura rerum monstrat, explicabo. |
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1333 </s></p></subchap2> |
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1334 </subchap1> |
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1335 <subchap1> |
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1336 <subchap2><p type="main"><s> |
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1337 Materies caedenda est a primo autumno ad id tempus, |
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1338 quod erit antequam flare incipiat favonius. </s><s>vere enim |
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1339 omnes arbores fiunt praegnantes et omnes suae proprietatis virtutem efferunt in frondem anniversariosque fructus. </s><s>cum ergo inanes et tumidae temporum necessitate |
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1340 eorum fuerint, vanae fiunt et raritatibus inbecillae; uti |
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1341 etiam corpora muliebria, cum conceperint fetus, a partu |
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1342 non iudicantur integra, neque in venalibus ea, cum sunt |
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1343 praegnantia, praestantur sana, ideo quod in corpore praeseminatio crescens ex omnibus cibi potestatibus detrahit |
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1344 alimentum in se, et quo firmior efficitur ad maturitatem |
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1345 partus, eo minus patitur esse solidum id ipsum, ex quo |
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1346 procreatur. </s><s>itaque edito fetu, quod prius in aliud genus |
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1347 incrementi detrahebatur, cum disparatione procreationis est |
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1348 liberatum, inanibus et patentibus venis in se recipiens lambendo sucum etiam solidescit et redit in pristinam naturae firmitatem. |
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1349 </s></p></subchap2> |
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1350 <subchap2><p type="main"><s> |
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1351 Eadem ratione autumnali tempore maturitate fructuum flaccescente fronde, ex terra recipientes caudices arborum in se sucum recuperantur et restituuntur in antiquam soliditatem. </s><s>at vero aeris hiberni vis comprimit |
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1352 et consolidat eas per id, ut supra scriptum est, tempus. </s><s>ergo si ea ratione et eo tempore, quod est supra scriptum, caeditur materies, erit tempestiva. |
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1353 </s></p></subchap2> |
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1354 <subchap2><p type="main"><s> |
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1355 Caedi autem ita oportet, uti incidatur arboris crassitudo ad mediam medullam, |
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1356 et relinquatur, uti per eam exsiccescat stillando sucus. </s><s>ita |
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1357 qui inest in his inutilis liquor effluens per torulum non patietur emori in eo saniem nec corrumpi materiae aequalitatem. </s><s>tum autem, cum sicca et sine stillis erit arbor, deiciatur et ita erit optima in usu. |
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1358 </s></p></subchap2> |
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1359 <subchap2><p type="main"><s> |
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1360 Hoc autem ita esse licet animum advertere etiam de arbustis. </s><s>ea enim cum |
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1361 suo quoque tempore ad imum perforata castrantur, profundunt e medullis quem habent in se superantem et vitiosum per foramina liquorem, et ita siccescendo recipiunt |
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1362 in se diuturnitatem. </s><s>qui autem non habent ex arboribus |
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1363 exitus umores, intra concrescentes putrescunt et efficiunt |
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1364 inanes eas <et> vitiosas. </s><s>ergo si stantes et vivae siccescendo non senescunt, sine dubio, cum eae ad materiam deiciuntur, cum ea ratione curatae fuerint, habere poterunt |
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1365 magnas in aedificiis ad vetustatem utilitates. |
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1366 </s></p></subchap2> |
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1367 <subchap2><p type="main"><s> |
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1368 Hae autem inter se discrepantes et dissimiles habent virtutes, uti robur, ulmus, populus, cupressus, abies ceteraque, |
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1369 quae maxime in aedificiis sunt idonea. </s><s>namque non potest |
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1370 id robur, quod abies, nec cupressus, quod ulmus, nec cetera easdem habent inter se natura rerum similitates, sed |
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1371 singula genera principiorum proprietatibus comparata alios alii generis praestant in operibus effectus. |
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1372 </s></p></subchap2> |
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1373 <subchap2><p type="main"><s> |
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1374 Et primum abies aeris habens plurimum et ignis minimumque umoris et |
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1375 terreni, levioribus rerum natura e potestatibus comparata |
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1376 non est ponderosa. </s><s>itaque rigore naturali contenta non |
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1377 cito flectitur ab onere, sed directa permanet in contignatione. </s><s>sed ea, quod habet in se plus caloris, procreat |
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1378 et alit cariem ab eaque vitiatur, etiamque ideo celeriter |
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1379 accenditur, quod quae inest in eo corpore aeris raritas, |
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1380 ut est patens, accipit ignem et ita vehementem ex se mittit flammam. |
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1381 </s></p></subchap2> |
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1382 <subchap2><p type="main"><s> |
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1383 Ex ea autem, aut nequam est excisa, quae pars est proxima terrae, per radices recipiens ex proximitate umorem enodis et liquida efficitur; quae vero est superior, vehementia caloris eductis in aera per nodos |
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1384 ramis, praecisa alte circiter pedes <emph type="smallcaps"/>XX<emph.end/> et perdolata propter |
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1385 nodationis duritiem dicitur esse fusterna. </s><s>ima autem, cum |
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1386 excisa quadrifluviis disparatur, eiecto torulo ex eadem arbore ad intestina opera comparatur et <ab> infima fusterna sappinea vocatur. |
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1387 </s></p></subchap2> |
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1388 <subchap2><p type="main"><s> |
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1389 Contra vero quercus terrenis principiorum satietatibus abundans parumque habens umoris |
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1390 et aeris et ignis, cum in terrenis operibus obruitur, infinitam habet aeternitatem. </s><s>ex eo cum tangitur umore, non |
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1391 habens foraminum raritates propter spissitatem non potest |
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1392 in corpus recipere liquorem, sed fugiens ab umore resistit |
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1393 et torquetur et efficit, in quibus est operibus, ea rimosa. |
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1394 </s></p></subchap2> |
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1395 <subchap2><p type="main"><s> |
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1396 Aesculus vero, quod est omnibus principiis temperata, habet in aedificiis magnas utilitates; sed ea, cum in umore |
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1397 conlocatur, recipiens penitus per foramina liquorem eiecto |
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1398 aere et igni operatione umidae potestatis vitiatur. </s><s>cerrus, |
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1399 [quercus] fagus, quod pariter habent mixtionem umoris et |
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1400 ignis et terreni, aeris plurimum, per huius raritates umores |
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1401 penitus recipiendo celeriter marcescunt. </s><s>populus alba et |
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1402 nigra, item salix, tilia, cum non sint dura terreni mixtione, |
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1403 propter raritatem sunt candida et in sculpturis commodam |
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1404 praestant tractabilitatem. </s><s>vitex ignis et aeris habendo satietatem, umoris temperate, parum autem terreni habens |
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1405 leviore temperatura comparata egregiam habere videtur in usu rigiditatem. |
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1406 </s></p></subchap2> |
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1407 <subchap2><p type="main"><s> |
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1408 Alnus autem, quae proxima fluminum ripis procreatur et minime materies utilis videtur, habet |
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1409 in se egregias rationes. </s><s>etenim <est> aere et igni plurimo |
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1410 temperata, non multum terreno, umore paulo. </s><s>itaque in |
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1411 palustribus locis infra fundamenta aedificiorum palationibus crebre fixa, recipiens in se quod minus habet in corpore liquoris, permanet inmortalis ad aeternitatem et sustinet inmania pondera structurae et sine vitiis conservat. </s><s>ita quae non potest extra terram paulum tempus durare, ea in umore obruta permanet ad diuturnitatem. |
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1412 </s></p></subchap2> |
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1413 <subchap2><p type="main"><s> |
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1414 Est autem maxime id considerare Ravennae, quod ibi omnia opera |
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1415 et publica et privata sub fundamentis eius generis habeant |
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1416 palos. </s><s>ulmus vero et fraxinus maximos habent umores minimumque aeris et ignis, terreni temperate. <ea e> mixtione comparatae, sunt in operibus, cum fabricantur, lentae et ab pondere umoris non habent rigorem et celeriter |
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1417 pandant; simul autem vetustate sunt aridae factae aut in |
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1418 agro perfecto qui est eis liquor stantes emoriuntur, fiunt |
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1419 duriores et in commissuris et coagmentationibus ab lentitudine firmas recipiunt catenationes. |
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1420 </s></p></subchap2> |
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1421 <subchap2><p type="main"><s> |
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1422 Item carpinus, quod est minima ignis et terreni mixtione, aeris autem et umoris summa continetur temperatura, non est fragilis, sed |
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1423 habet utilissimam tractabilitatem. </s><s>itaque Graeci, quod ex |
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1424 ea materia iuga iumentis comparant, quod apud eos iuga |
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1425 <foreign lang="greek">zuga/</foreign> vocitantur, item <foreign lang="greek">zugi/hn</foreign> eam appellant. </s><s>non minus |
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1426 est admirandum de cupresso et pinu, quod eae habentes |
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1427 umoris abundantiam aequamque ceterorum mixtionem, |
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1428 propter umoris satietatem in operibus solent esse pandae, |
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1429 sed in vetustatem sine vitiis conservantur, quod is liquor, |
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1430 qui inest penitus in corporibus earum, habet amarum saporem, qui propter acritudinem non patitur penetrare cariem neque eas bestiolas, quae sunt nocentes. </s><s>ideoque quae |
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1431 ex his generibus opera constituuntur, permanent ad aeternam diuturnitatem. |
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1432 </s></p></subchap2> |
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1433 <subchap2><p type="main"><s> |
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1434 Item cedrus et iuniperus easdem habent virtutes et utilitates; sed quemadmodum ex cupressu |
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1435 <et> pinu resina, ex cedro oleum, quod cedrium dicitur, |
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1436 nascitur, quo reliquae res cum sunt unctae, uti etiam libri, |
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1437 a tineis et carie non laeduntur. </s><s>arboris autem eius sunt |
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1438 similes cupresseae foliaturae; materies vena directa. </s><s>Ephesi |
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1439 in aede simulacrum Dianae ex ea, lacunaria et ibi et in |
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1440 ceteris nobilibus fanis propter aeternitatem sunt facta. </s><s>nascuntur autem eae arbores maxime Cretae et Africae et nonnullis Syriae regionibus. |
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1441 </s></p></subchap2> |
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1442 <subchap2><p type="main"><s> |
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1443 Larix vero, qui non est notus nisi îs municipalibus, qui sunt circa ripam fluminis |
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1444 Padi et litora maris Hadriani, non solum ab suci vehementi amaritate ab carie aut tinea non nocetur, sed etiam |
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1445 flammam ex igni non recipit, nec ipse per se potest ardere, nisi uti saxum in fornace ad calcem coquendam aliis |
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1446 lignis uratur; nec tamen tunc flammam recipit nec carbonem remittit, sed longo spatio tarde comburitur. <namque ea materies,> quod est minima ignis et aeris e principiis temperatura, umore autem et terreno est spisse |
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1447 solidata, non habet spatia foraminum, qua possit ignis |
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1448 penetrare, reicitque eius vim nec patitur ab eo sibi cito |
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1449 noceri, propterque pondus ab aqua non sustinetur, sed |
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1450 cum portatur, aut in navibus aut supra abiegnas rates |
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1451 conlocatur. |
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1452 </s></p></subchap2> |
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1453 <subchap2><p type="main"><s> |
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1454 Ea autem materies quemadmodum sit inventa, est causa |
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1455 cognoscere. </s><s>divus Caesar cum exercitum habuisset circa |
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1456 Alpes imperavissetque municipiis praestare commeatus, |
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1457 ibique esset castellum munitum, quod vocaretur Larignum, tunc, qui in eo fuerunt, naturali munitione confisi |
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1458 noluerunt imperio parere. </s><s>itaque imperator copias iussit |
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1459 admoveri. </s><s>erat autem ante eius castelli portam turris ex |
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1460 hac materia alternis trabibus transversis uti pyra inter se |
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1461 composita alte, uti possent de summo sudibus et lapidibus |
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1462 accedentes repellere. </s><s>tunc vero cum animadversum est alia |
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1463 eos tela praeter sudes non habere neque posse longius a |
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1464 muro propter pondus iaculari, imperatum est fasciculos ex |
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1465 virgis alligatos et faces ardentes ad eam munitionem accedentes mittere. |
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|
1466 </s></p></subchap2> |
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|
1467 <subchap2><p type="main"><s> |
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1468 Itaque celeriter milites congesserunt. </s><s>posteaquam flamma circa illam materiam virgas comprehendisset, ad caelum sublata effecit opinionem, uti videretur iam tota moles concidisse. </s><s>cum autem ea per se extincta |
|
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1469 esset et re quieta turris intacta apparuisset, admirans Caesar iussit extra telorum missionem eos circumvallari. </s><s>itaque timore coacti oppidani cum se dedidissent, quaesitum, |
|
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1470 unde essent ea ligna, quae ab igni non laederentur. </s><s>tunc |
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1471 ei demonstraverunt eas arbores, quarum in his locis |
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1472 maximae sunt copiae. </s><s>et ideo id castellum Larignum, |
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1473 item materies larigna est appellata. </s><s>haec autem per Padum Ravennam deportatur, in colonia Fanestri, Pisauri, |
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1474 Anconae reliquisque, quae sunt in ea regione, municipiis |
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|
1475 praebetur. </s><s>cuius materies si esset facultas adportationibus |
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1476 ad urbem, maximae haberentur in aedificiis utilitates, et |
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1477 si non in omne, certe tabulae in subgrundiis circum insulas |
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|
1478 si essent ex ea conlocatae, ab traiectionis incendiorum aedificia periculo liberarentur, quod eae neque flammam nec carbonem possunt recipere nec facere per se. |
|
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|
1479 </s></p></subchap2> |
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|
1480 <subchap2><p type="main"><s> |
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1481 Sunt autem eae arbores foliis similibus pini; materies earum prolixa, |
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1482 tractabilis ad intestinum opus non minus quam sappinea, |
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1483 habetque resinam liquidam mellis Attici colore, quae etiam |
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|
1484 medetur pthisicis. |
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1485 </s> |
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|
1486 </p><p type="main"><s> |
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|
1487 De singulis generibus, quibus proprietatibus e natura |
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|
1488 rerum videantur esse comparatae quibusque procreantur |
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|
1489 rationibus, exposui. </s><s>insequitur animadversio, quid ita quae |
|
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|
1490 in urbe supernas dicitur abies, deterior est, quae infernas, |
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|
1491 egregios in aedificiis ad diuturnitatem praestat usus, et de |
|
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1492 his rebus, quemadmodum videantur e locorum proprietatibus habere vitia aut virtutes, uti ea sint considerantibus apertiora, exponere. |
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1493 </s></p></subchap2> |
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1494 </subchap1> |
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1495 <subchap1> |
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1496 <subchap2><p type="main"><s> |
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1497 Montis Appennini primae radices ab Tyrrenico mari inter Alpis et extremas Etruriae regiones |
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1498 oriuntur. </s><s>eius vero montis iugum se circumagens et media |
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1499 curvatura prope tangens oras maris Hadriani pertingit circumitionibus contra fretum. </s><s>itaque citerior eius curvatura, |
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1500 quae vergit ad Etruriae Campaniaeque regiones, apricis |
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1501 est potestatibus; namque impetus habet perpetuos ad solis |
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1502 cursum. </s><s>ulterior autem, quae est proclinata ad superum mare, |
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1503 septentrionali regioni subiecta continetur umbrosis et opacis |
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1504 perpetuitatibus. </s><s>itaque quae in ea parte nascuntur arbores, |
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1505 umida potestate nutritae non solum ipsae augentur amplissimis magnitudinibus, sed earum quoque venae umoris |
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1506 copia repletae turgentes liquoris abundantia saturantur. </s><s>cum autem excisae et dolatae vitalem potestatem amiserunt, |
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1507 venarum rigore permanente siccescendo propter raritatem |
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1508 fiunt inanes et evanidae, ideoque in aedificiis non possunt habere diuturnitatem. |
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1509 </s></p></subchap2> |
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1510 <subchap2><p type="main"><s> |
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1511 Quae autem ad solis cursum spectantibus locis procreantur, non habentes interveniorum raritates |
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1512 siccitatibus exsuctae solidantur, quia sol non modo ex terra |
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1513 lambendo sed etiam ex arboribus educit umores. </s><s>itaque, |
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1514 quae sunt in apricis regionibus, spissis venarum crebritatibus solidatae raritatemque non habentes ex umore, cum in |
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1515 materiem perdolantur, reddunt magnas utilitates ad vetustatem. </s><s>ideo infernates, quod ex apricis locis adportantur, |
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1516 meliores sunt, quam quae ab opacis de supernatibus advehuntur. |
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1517 |
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1518 </s></p></subchap2> |
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1519 <subchap2><p type="main"><s> |
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1520 Quantum animo considerare potui, de copiis, quae sunt |
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1521 necessariae in aedificiorum comparationibus, et quibus temperaturis e rerum natura principiorum habere videantur |
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1522 mixtionem quaeque insunt in singulis generibus virtutes |
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1523 et vitia, uti non sint ignota aedificantibus, exposui. </s><s>ita, |
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1524 qui potuerint eorum praeceptorum sequi praescriptiones, |
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1525 erunt prudentiores singulorumque generum usum eligere |
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1526 poterunt in operibus. </s><s>ergo quoniam de apparitionibus est |
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1527 explicatum, in ceteris voluminibus de ipsis aedificiis exponetur; et primum de deorum inmortalium aedibus sacris |
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1528 et de earum symmetriis et proportionibus, uti ordo postulat, |
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1529 insequenti perscribam. |
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1530 </s></p></subchap2> |
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1531 </subchap1> |
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1532 </chap> |
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1533 <chap> |
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1534 <!-- 3,t,1,1 --> |
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1535 <p type="head"><s>LIBER TERTIUS</s></p> |
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1536 <subchap1> |
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1537 <subchap2><p type="main"><s> |
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1538 Delphicus Apollo Socratem omnium sapientissimum |
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1539 Pythiae responsis est professus. </s><s>is autem memoratur prudenter doctissimeque dixisse, oportuisse hominum pectora |
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1540 fenestrata et aperta esse, uti non occultos haberent sensus |
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1541 sed patentes ad considerandum. </s><s>utinam vero rerum natura |
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1542 sententiam eius secuta explicata et apparentia ea constituisset! si enim ita fuisset, non solum laudes aut vitia animorum ad manum aspicerentur, sed etiam disciplinarum |
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1543 scientiae sub oculorum consideratione subiectae non incertis iudiciis probarentur, sed et doctis et scientibus |
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1544 auctoritas egregia et stabilis adderetur ipsique artifices |
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1545 pellicerent sua prudentia, <qui, etiam>si non pecunia sint |
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1546 copiosi seu vetustate officinarum habuerint notitiam aut |
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1547 etiam gratia forensi et eloquentia, cum fuerint parati, pro |
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1548 industria studiorum auctoritates possent habere, ut eis, |
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1549 quod profitentur scire, id crederetur. </s><s>igitur quoniam haec |
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1550 non ita, sed uti natura rerum voluit, sunt constituta, non |
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1551 efficitur, ut possint homines obscuratis sub pectoribus ingeniis scientias artificiorum penitus latentes, quemadmodum sint, iudicare. |
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1552 </s></p></subchap2> |
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1553 <subchap2><p type="main"><s> |
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1554 Maxime autem id animadvertere possumus ab antiquis statuariis et pictoribus, quod ex his, qui |
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1555 dignitatis notas et commendationis gratiam habuerunt, |
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1556 aeterna memoria ad posteritatem sunt permanentes, uti |
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1557 Myron, Polycletus, Phidias, Lysippus ceterique, qui nobilitatem ex arte sunt consecuti. </s><s>namque ut civitatibus magnis |
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1558 aut regibus aut civibus nobilibus opera fecerunt, ita id sunt |
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1559 adepti. </s><s>at qui non minore studio et ingenio sollertiaque |
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1560 fuerunt nobilibus et humili fortuna civibus non minus |
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1561 egregie perfecta fecerunt opera, nullam memoriam sunt |
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1562 adsecuti, quod hi non ab industria neque artis sollertia |
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1563 sed a felicitate fuerunt deserti, ut Hegias Atheniensis, |
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1564 Chion Corinthius, Myagrus Phocaeus, Pharax Ephesius, |
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1565 Boedas Byzantius etiamque alii plures. </s><s>non minus item |
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1566 pictores, uti Aristomenes Thasius, Polycles et Androcydes |
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1567 <Cyzice>ni, Theo Magnes ceterique, quos neque industria |
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1568 neque artis studium neque sollertia defecit, sed aut rei |
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1569 familiaris exiguitas aut inbecillitas fortunae seu in ambitione certationis contrariorum superatio obstitit eorum dignitati. |
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|
1570 </s></p></subchap2> |
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|
1571 <subchap2><p type="main"><s> |
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1572 Nec tamen est admirandum, si propter ignotitiam |
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1573 artis virtutes obscurantur, sed maxime indignandum, cum |
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1574 etiam saepe eblandiatur gratia conviviorum a veris iudiciis |
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1575 falsam probationem. </s><s>ergo, uti Socrati placuit, si ita sensus |
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1576 et sententiae scientiaeque disciplinis auctae perspicuae et |
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1577 perlucidae fuissent, non gratia neque ambitio valeret, sed |
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1578 si qui veris certisque laboribus doctrinarum pervenissent |
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1579 ad scientiam summam, eis ultro opera traderentur. </s><s>quoniam |
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1580 autem ea non sunt inlustria neque apparentia in aspectu, |
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1581 ut putamus oportuisse, et animadverto potius indoctos quam |
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1582 doctos gratia superare, non esse certandum iudicans cum |
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1583 indoctis ambitione, potius his praeceptis editis ostendam |
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1584 nostrae scientiae virtutem. |
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1585 </s></p></subchap2> |
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1586 <subchap2><p type="main"><s> |
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1587 Itaque, imperator, in primo volumine tibi de arte et quas |
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1588 habeat ea virtutes quibusque disciplinis oporteat esse auctum architectum, exposui et subieci causas, quid ita earum |
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1589 oporteat eum esse peritum, rationesque summae architecturae partitione distribui finitionibusque terminavi. </s><s>deinde, |
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1590 quod erat primum et necessarium, de moenibus, quemadmodum eligantur loci salubres, ratiocinationibus explicui, |
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1591 ventique qui sint et e quibus <regionibus> singuli spirant, |
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1592 deformationibus grammicis ostendi, platearumque et vicorum uti emendate fiant distributiones in moenibus, docui |
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1593 et ita finitionem primo volumine constitui. </s><s>item in secundo |
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1594 de materia, quas habeat in operibus utilitates et quibus |
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1595 virtutibus e natura rerum est comparata, peregi. </s><s>nunc in |
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1596 tertio de deorum inmortalium aedibus sacris dicam et, uti |
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1597 oportet, perscriptas exponam. |
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1598 </s></p></subchap2> |
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1599 </subchap1> |
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1600 <subchap1> |
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1601 <subchap2><p type="main"><s> |
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1602 Aedium compositio constat ex symmetria, cuius rationem diligentissime architecti tenere debent. </s><s>ea autem paritur a proportione, quae graece <foreign lang="greek">a)nalogi/a</foreign> dicitur. </s><s>proportio |
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1603 est ratae partis membrorum in omni opere totiusque commodulatio, ex qua ratio efficitur symmetriarum. </s><s>namque |
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1604 non potest aedis ulla sine symmetria atque proportione rationem habere compositionis, nisi uti hominis bene figurati membrorum habuerit exactam rationem. |
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1605 </s></p></subchap2> |
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1606 <subchap2><p type="main"><s> |
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1607 Corpus enim hominis ita natura composuit, uti os capitis a mento ad frontem |
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1608 summam et radices imas capilli esset decimae partis, item |
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1609 manus pansa ab articulo ad extremum medium digitum |
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1610 tantundem, caput a mento ad summum verticem octavae, |
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1611 cum cervicibus imis ab summo pectore ad imas radices |
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1612 capillorum sextae, <a medio pectore> ad summum verticem |
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1613 quartae. </s><s>ipsius autem oris altitudinis tertia est pars ab imo |
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1614 mento ad imas nares, nasum ab imis naribus ad finem mediûm superciliorum tantundem, ab ea fine ad imas radices |
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1615 capilli frons efficitur item tertiae partis. </s><s>pes vero altitudinis corporis sextae, cubitum quartae, pectus item quartae. </s><s>reliqua quoque membra suas habent commensus proportiones, quibus etiam antiqui pictores et statuarii nobiles usi magnas et infinitas laudes sunt adsecuti. |
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1616 </s></p></subchap2> |
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1617 <subchap2><p type="main"><s> |
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1618 Similiter vero sacrarum aedium membra ad universam totius magnitudinis |
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1619 summam ex partibus singulis convenientissimum debent |
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1620 habere commensus responsum. </s><s>item corporis centrum medium naturaliter est umbilicus. </s><s>namque si homo conlocatus |
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1621 fuerit supinus manibus et pedibus pansis circinique conlocatum centrum in umbilico eius, circumagendo rotundationem utrarumque manuum et pedum digiti linea tangentur. </s><s>non minus quemadmodum schema rotundationis in |
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1622 corpore efficitur, item quadrata designatio in eo invenietur. </s><s>nam si a pedibus imis ad summum caput mensum erit eaque |
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1623 mensura relata fuerit ad manus pansas, invenietur eadem |
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1624 latitudo uti altitudo, quemadmodum areae, quae ad normam sunt quadratae. |
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1625 </s></p></subchap2> |
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1626 <subchap2><p type="main"><s> |
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1627 Ergo si ita natura composuit corpus hominis, uti proportionibus membra ad summam figurationem eius |
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1628 respondeant, cum causa constituisse videntur antiqui, ut |
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1629 etiam in operum perfectionibus singulorum membrorum |
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1630 ad universam figurae speciem habeant commensus exactionem. </s><s>igitur cum in omnibus operibus ordines traderent, |
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1631 maxime in aedibus deorum, <quod eorum> operum et laudes |
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1632 et culpae aeternae solent permanere. |
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1633 </s></p></subchap2> |
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1634 <subchap2><p type="main"><s> |
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1635 Nec minus mensurarum rationes, quae in omnibus operibus videntur necessariae esse, ex corporis membris collegerunt, uti digitum, palmum, pedem, cubitum, et eas distribuerunt in perfectum numerum, quem Graeci <foreign lang="greek">te/leion</foreign> dicunt. </s><s>perfectum autem antiqui instituerunt numerum qui decem |
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1636 dicitur; namque ex manibus digitorum numero [ab palmo |
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1637 pes] est inventus. </s><s>si autem in utrisque palmis ex articulis ab natura decem sunt perfecti, etiam Platoni placuit |
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1638 esse eum numerum ea re perfectum, quod ex <<emph type="smallcaps"/>X<emph.end/>> singularibus rebus, quae <foreign lang="greek">mona/des</foreign> apud Graecos dicuntur, perficitur |
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1639 decusis. </s><s>simul autem undecim aut duodecim sunt facti, |
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1640 quod superaverint, non possunt esse perfecti, donec ad |
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1641 alterum decusis perveniant; singulares enim res particulae sunt eius numeri. |
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1642 </s></p></subchap2> |
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1643 <subchap2><p type="main"><s> |
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1644 Mathematici vero contra disputantes ea |
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1645 re perfectum dixerunt esse numerum qui sex dicitur, quod |
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1646 is numerus habet partitiones eorum rationibus sex numero |
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1647 convenientes sic: sextantem unum, trientes duo, semissem |
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1648 tria, besem quem <foreign lang="greek">di/moiron</foreign> dicunt quattuor, quintarium |
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1649 quem <foreign lang="greek">penta/moiron</foreign> dicunt quinque, perfectum sex. </s><s>cum ad |
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1650 duplicationem crescat, supra sex adiecto asse <foreign lang="greek">e)/fekton</foreign>; cum |
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1651 facta sunt octo, quod est tertia adiecta, tertiarium alterum, |
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1652 qui <foreign lang="greek">e)pi/tritos</foreign> dicitur; dimidia adiecta cum facta sunt novem, |
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1653 sesquialterum, qui <foreign lang="greek">h(mio/lios</foreign> appellatur; duabus partibus |
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1654 additis et decusis facto bes alterum, quem <foreign lang="greek">e)pidi/moiron</foreign> |
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1655 vocitant; in undecim numero quod adiecti sunt quinque, |
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1656 quintarium, quem <foreign lang="greek">e)pi/pempton</foreign> dicunt; duodecim autem, quod ex duobus numeris simplicibus est effectus, <foreign lang="greek">dipla/siona</foreign>. |
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1657 </s></p></subchap2> |
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1658 <subchap2><p type="main"><s> |
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1659 Non minus etiam, quod pes hominis altitudinis sextam habet |
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1660 partem, (ita etiam, ex eo quod perficitur pedum numero |
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1661 corporis <altitudo, veteribus columnis basis scapi elata> |
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1662 sexies altitudines terminavit) eum perfectum constituerunt, |
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1663 cubitumque animadverterunt ex sex palmis constare digitisque <emph type="smallcaps"/>XXIIII<emph.end/>. ex eo etiam videntur civitates Graecorum |
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1664 fecisse, quemadmodum cubitus est sex palmorum, in drachma, qua nummo uterentur, aereos signatos uti asses ex |
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1665 aequo sex, quos obolos appellant, quadrantesque obolorum, |
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1666 quae alii dichalca, nonnulli trichalca dicunt, pro digitis viginti quattuor in drachma constituisse. |
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1667 </s></p></subchap2> |
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1668 <subchap2><p type="main"><s> |
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1669 Nostri autem primo fecerunt <perfectum> antiquum numerum et in denario denos aeris constituerunt, et ea re compositio nominis ad hodiernum diem denarium retinet. </s><s>etiamque |
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1670 quarta pars quod efficiebatur ex duobus assibus et tertio |
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1671 semisse, sestertium vocitaverunt. </s><s>postea autem quam animadverterunt utrosque numeros esse perfectos, et sex et |
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1672 decem, utrosque in unum coiecerunt et fecerunt perfectissimum decusis sexis. </s><s>huius autem rei auctorem invenerunt |
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1673 pedem. </s><s>e cubito enim cum dempti sunt palmi duo, relinquitur pes quattuor palmorum, palmus autem habet quattuor digitos. </s><s>ita efficitur, ut habeat pes sedecim digitos |
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1674 et totidem asses aeracius denarius. |
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1675 </s></p></subchap2> |
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1676 <subchap2><p type="main"><s> |
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1677 Ergo si convenit ex articulis hominis numerum inventum esse et ex membris separatis ad universam corporis |
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1678 speciem ratae partis commensus fieri responsum, relinquitur, ut suspiciamus eos, qui etiam aedes deorum inmortalium constituentes ita membra operum ordinaverunt, ut |
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1679 proportionibus et symmetriis separatae atque universae |
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1680 convenientes efficerentur eorum distributiones. |
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1681 </s></p></subchap2> |
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1682 </subchap1> |
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1683 <subchap1> |
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1684 <subchap2><p type="main"><s> |
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1685 Aedium autem principia sunt, e quibus constat figurarum aspectus, ea: primum in antis, quod graece <foreign lang="greek">nao\s e)n parasta/sin</foreign> dicitur, deinde prostylos, amphiprostylos, |
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1686 peripteros, pseudodipteros, <dipteros>, hypaethros. </s><s>horum exprimuntur formationes his rationibus. |
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1687 </s></p></subchap2> |
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1688 <subchap2><p type="main"><s> |
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1689 In antis erit aedes, cum habebit in fronte antas parietum, qui cellam circumcludunt, et inter antas in medio columnas duas supraque |
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1690 fastigium symmetria ea conlocatum, quae in hoc libro fuerit |
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1691 perscripta. </s><s>huius autem exemplar erit ad Tres Fortunas extribus quod est proxime portam Collinam. |
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1692 </s></p></subchap2> |
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1693 <subchap2><p type="main"><s> |
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1694 Prostylos omnia habet quemadmodum in antis, columnas autem contra antas |
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1695 angulares duas supraque epistylia, quemadmodum et in antis, |
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1696 et dextra ac sinistra in versuris singula. </s><s>huius exemplar est in insula Tiberina in aede Iovis et Fauni. |
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1697 </s></p></subchap2> |
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1698 <subchap2><p type="main"><s> |
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1699 amphiprostylos omnia habet ea, quae prostylos, praetereaque habet in postico ad eundem modum columnas et fastigium. |
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1700 </s></p></subchap2> |
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1701 <subchap2><p type="main"><s> |
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1702 Peripteros autem erit, quae habebit in fronte et postico senas columnas, in |
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1703 lateribus cum angularibus undenas. </s><s>ita autem sint hae columnae conlocatae, ut intercolumnii latitudinis intervallum |
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1704 sit a parietibus circum ad extremos ordines columnarum, |
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1705 habeatque ambulationem circa cellam aedis, quemadmodum |
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1706 est sine postico in porticu Metelli Iovis Statoris Hermodori et Mariana Honoris et Virtutis a Mucio facta. |
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1707 </s></p></subchap2> |
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1708 <subchap2><p type="main"><s> |
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1709 Pseudodipteros autem sic conlocatur, ut in fronte et postico sint |
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1710 columnae octonae, in lateribus cum angularibus quinae |
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1711 denae. </s><s>sint autem parietes cellae contra quaternas columnas medianas in fronte et postico. </s><s>ita duorum intercolumniorum et imae crassitudinis columnae spatium erit ab parietibus circa ad extremos ordines columnarum. </s><s>huius exemplar |
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1712 Romae non est, sed Magnesiae Dianae Hermogenis Alabandei et Apollinis a Menesthe facta. |
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1713 </s></p></subchap2> |
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1714 <subchap2><p type="main"><s> |
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1715 Dipteros autem octastylos et pronao et postico, sed circa aedem duplices habet ordines |
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1716 columnarum, uti est aedis Quirini dorica et Ephesi Dianae ionica a Chersiphrone constituta. |
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1717 </s></p></subchap2> |
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1718 <subchap2><p type="main"><s> |
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1719 Hypaethros vero decastylos est in pronao et postico. </s><s>reliqua omnia eadem habet |
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1720 quae dipteros, sed interiore parte columnas in altitudine |
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1721 duplices, remotas a parietibus ad circumitionem ut porticus |
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1722 peristyliorum. </s><s>medium autem sub divo est sine tecto. </s><s>aditus |
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1723 valvarum ex utraque parte in pronao et postico. </s><s>huius item |
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1724 exemplar Romae non est, sed Athenis octastylos ex templo |
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1725 Olympio. |
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1726 </s></p></subchap2> |
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1727 </subchap1> |
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1728 <subchap1> |
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1729 <subchap2><p type="main"><s> |
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1730 Species autem aedium sunt quinque, quarum ea sunt |
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1731 vocabula: pycnostylos, id est crebris columnis, systylos paulo |
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1732 remissioribus, diastylos amplius quam oportet inter se diductis, araeostylos spatiis intercolumniorum patentibus rare, eustylos intervallorum iusta distributione. |
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1733 </s></p></subchap2> |
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1734 <subchap2><p type="main"><s> |
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1735 Ergo pycnostylos est, cuius intercolumnio unius et dimidiatae columnae crassitudo interponi potest, quemadmodum est divi Iulii et in |
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1736 Caesaris foro Veneris et si quae aliae sic sunt compositae. </s><s>item systylos est, in qua duarum columnarum crassitudo |
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1737 in intercolumnio poterit conlocari, et spirarum plinthides |
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1738 aeque magnae sint ei spatio, quod fuerit inter duas plinthides, quemadmodum est Fortunae Equestris ad theatrum |
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1739 lapideum reliquaeque, quae eisdem rationibus sunt compositae. |
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1740 </s></p></subchap2> |
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1741 <subchap2><p type="main"><s> |
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1742 Haec utraque genera vitiosum habent usum. </s><s>matres |
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1743 enim familiarum cum ad supplicationem gradibus ascendunt, |
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1744 non possunt per intercolumnia amplexae adire, nisi ordines fecerint; item valvarum aspectus abstruditur columnarum crebritate ipsaque signa obscurantur; item circa aedem propter angustias inpediuntur ambulationes. |
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1745 </s></p></subchap2> |
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1746 <subchap2><p type="main"><s> |
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1747 Diastyli autem haec erit compositio, cum trium columnarum crassitudinem intercolumnio interponere possumus, tamquam est Apollinis et |
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1748 Dianae aedis. </s><s>haec dispositio hanc habet difficultatem, quod |
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1749 epistylia propter intervallorum magnitudinem franguntur. |
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1750 </s></p></subchap2> |
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1751 <subchap2><p type="main"><s> |
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1752 In araeostylis autem nec lapideis nec marmoreis epistyliis |
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1753 uti datur, sed inponendae de materia trabes perpetuae. </s><s>et |
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1754 ipsarum aedium species sunt varicae, barycephalae, humiles, |
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1755 latae, ornanturque signis fictilibus aut aereis inauratis earum |
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1756 fastigia tuscanico more, uti est ad Circum Maximum Cereris |
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1757 et Herculis Pompeiani, item Capitolii. |
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1758 </s></p></subchap2> |
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1759 <subchap2><p type="main"><s> |
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1760 Reddenda nunc est eustyli ratio, quae maxime probabilis |
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1761 et ad usum et ad speciem et ad firmitatem rationes habet |
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1762 explicatas. </s><s>namque facienda sunt in intervallis spatia duarum |
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1763 columnarum et quartae partis columnae crassitudinis, mediumque intercolumnium unum, quod erit in fronte, alterum, |
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1764 quod in postico, trium columnarum crassitudine. </s><s>sic enim |
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1765 habebit et figurationis aspectum venustum et aditus usum |
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1766 sine inpeditionibus et circa cellam ambulatio auctoritatem. |
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1767 </s></p></subchap2> |
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1768 <subchap2><p type="main"><s> |
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1769 Huius autem rei ratio explicabitur sic. </s><s>frons loci quae in |
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1770 aede constituta fuerit, si tetrastylos facienda fuerit, dividatur in partes <emph type="smallcaps"/>XI S<emph.end/> praeter crepidines et proiecturas spirarum; si sex erit columnarum, in partes <emph type="smallcaps"/>XVIII<emph.end/>; si octastylos |
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1771 constituetur, dividatur in <emph type="smallcaps"/>XXIV<emph.end/> et semissem. </s><s>item ex his |
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1772 partibus sive tetrastyli sive hexastyli sive octastyli una |
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1773 pars sumatur, eaque erit modulus. </s><s>cuius moduli unus erit |
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1774 crassitudinis columnarum. </s><s>intercolumnia singula, praeter |
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1775 media, modulorum duorum et moduli quartae partis; mediana in fronte et postico singula ternûm modulorum. </s><s>ipsarum columnarum altitudo modulorum <emph type="smallcaps"/>VIIII<emph.end/> et dimidiae moduli partis. </s><s>ita ex ea divisione intercolumnia altitudinesque columnarum habebunt iustam rationem. |
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1776 </s></p></subchap2> |
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1777 <subchap2><p type="main"><s> |
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1778 Huius exemplar Romae nullum habemus, sed in Asia Teo hexastylon Liberi |
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1779 Patris. |
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1780 </s> |
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1781 </p><p type="main"><s> |
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1782 Eas autem symmetrias constituit Hermogenes, qui etiam |
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1783 primus invenit octastylon pseudodipterive rationem. </s><s>ex |
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1784 dipteri enim aedis symmetria distulit interiores ordines |
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1785 columnarum <emph type="smallcaps"/>XXXIV<emph.end/> eaque ratione sumptus operasque compendii fecit. </s><s>is in medio ambulationi laxamentum egregie |
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1786 circa cellam fecit de aspectuque nihil inminuit, sed sine |
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1787 desiderio supervacuorum conservavit auctoritatem totius operis distributione. |
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1788 </s></p></subchap2> |
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1789 <subchap2><p type="main"><s> |
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1790 Pteromatos enim ratio et columnarum circum aedem dispositio ideo est inventa, ut aspectus propter asperitatem intercolumniorum habeat auctoritatem, praeterea, si ex <improviso> imbrium aquae vis occupaverit |
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1791 et intercluserit hominum multitudinem, ut habeat in aede |
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1792 circaque cellam cum laxamento liberam moram. </s><s>haec autem |
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1793 ut explicantur in pseudodipteris aedium dispositionibus! |
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1794 quare videtur acuta magnaque sollertia effectus operum |
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1795 Hermogenes fecisse reliquisseque fontes, unde posteri |
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1796 possent haurire disciplinarum rationes. |
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1797 </s></p></subchap2> |
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1798 <subchap2><p type="main"><s> |
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1799 Aedibus araeostylis columnae sic sunt faciendae, uti |
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1800 crassitudines earum sint partis octavae ad altitudines. </s><s>item |
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1801 in diastylo dimetienda est altitudo columnae in partes octo |
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1802 et dimidiam, et unius partis columnae crassitudo conlocetur. </s><s>in systylo altitudo dividatur in novem et dimidiam partem, |
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1803 et ex eis una ad crassitudinem columnae detur. </s><s>item in pycnostylo dividenda est altitudo in <partes> decem, et eius una |
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1804 pars facienda est columnae crassitudo. </s><s>eustyli autem aedis |
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1805 columnae, uti systyli, in novem partes altitudo dividatur et |
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1806 dimidiam partem, et eius una pars constituatur in crassitudine imi scapi. </s><s>ita habebitur pro rata parte intercolumniorum ratio. |
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1807 </s></p></subchap2> |
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1808 <subchap2><p type="main"><s> |
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1809 Quemadmodum enim crescunt spatia inter |
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1810 columnas, proportionibus adaugendae sunt crassitudines |
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1811 scaporum. </s><s>namque si in araeostylo nona aut decima pars |
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1812 crassitudinis fuerit, tenuis et exilis apparebit, ideo quod |
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1813 per latitudinem intercolumniorum aer consumit et inminuit |
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1814 aspectu scaporum crassitudinem. </s><s>contra vero pycnostylis si |
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1815 octava pars crassitudinis fuerit, propter crebritatem et angustias intercolumniorum tumidam et invenustam efficiet |
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1816 speciem. </s><s>itaque generis operis oportet persequi symmetrias. </s><s>etiamque angulares columnae crassiores faciendae sunt ex |
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1817 sua diametro quinquagesima parte, quod eae ab aere circumciduntur et graciliores videntur esse aspicientibus. </s><s>ergo quod oculus fallit, ratiocinatione est exaequandum. |
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1818 </s></p></subchap2> |
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1819 <subchap2><p type="main"><s> |
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1820 Contracturae autem in summis columnarum hypotracheliis ita |
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1821 faciendae videntur, uti, si columna sit ab minimo ad pedes |
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1822 quinos denos, ima crassitudo dividatur in partes sex et |
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1823 earum partium quinque summa constituatur. </s><s>item quae erit |
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1824 ab quindecim pedibus ad pedes viginti, scapus imus in partes |
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1825 sex et semissem dividatur, earumque partium quinque et |
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1826 semisse superior crassitudo columnae fiat. </s><s>item quae erunt |
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1827 a pedibus viginti ad pedes triginta, scapus imus dividatur |
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1828 in partes septem, earumque sex summa contractura perficiatur. </s><s>quae autem ab triginta pedibus ad quadraginta |
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1829 alta erit, ima dividatur in partes septem et dimidiam; ex |
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1830 his sex et dimidiam in summo habeat contracturae rationem. </s><s>quae erunt ab quadraginta pedibus ad quinquaginta, item |
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1831 dividendae sunt in octo partes, et earum septem in summo |
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1832 scapo sub capitulo contrahantur. </s><s>item si quae altiores erunt, eadem ratione pro rata constituantur contracturae. |
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1833 </s></p></subchap2> |
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1834 <subchap2><p type="main"><s> |
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1835 Haec autem propter altitudinis intervallum scandentis oculi species adiciuntur crassitudinibus temperaturae. </s><s>venustates |
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1836 enim persequitur visus, cuius si non blandimur voluptati |
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1837 proportione et modulorum adiectionibus, uti quod fallitur |
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1838 temperatione adaugeatur, vastus et invenustus conspicientibus remittetur aspectus. </s><s>de adiectione, quae adicitur in |
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1839 mediis columnis, quae apud Graecos <foreign lang="greek">e)/ntasis</foreign> appellatur, |
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1840 in extremo libro erit forma et ratio eius, quemadmodum |
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1841 mollis et conveniens efficiatur, subscripta. |
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1842 </s></p></subchap2> |
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1843 </subchap1> |
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1844 <subchap1> |
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1845 <subchap2><p type="main"><s> |
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1846 Fundationes eorum operum fodiantur, si queat inveniri, |
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1847 ad solidum et in solido, quantum ex amplitudine operis pro |
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1848 ratione videbitur, extruaturque structura totum solum quam |
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1849 solidissima. </s><s>supraque terram parietes extruantur sub columnas dimidio crassiores quam columnae sunt futurae, uti |
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1850 firmiora sint inferiora superioribus; quae stereobates appellantur, nam excipiunt onera. </s><s>spirarumque proiecturae non |
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1851 procedant extra solidum; item supra parietis ad eundem |
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1852 modum crassitudo servanda est. </s><s>intervalla autem concamaranda aut solidanda festucationibus, uti distineantur. |
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1853 </s></p></subchap2> |
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1854 <subchap2><p type="main"><s> |
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1855 Sin autem solidum non invenietur, sed locus erit congesticius |
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1856 ad imum aut paluster, tunc is locus fodiatur exinaniaturque et palis alneis aut oleagineis <aut> robusteis ustilatis |
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1857 configatur, sublicaque machinis adigatur quam creberrime, |
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1858 carbonibusque expleantur intervalla palorum, et tunc structuris solidissimis fundamenta impleantur. </s><s>extructis autem |
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1859 fundamentis ad libramentum stylobatae sunt conlocandi. |
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1860 </s></p></subchap2> |
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1861 <subchap2><p type="main"><s> |
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1862 Supra stylobatas columnae disponendae, quemadmodum |
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1863 supra scriptum est, sive in pycnostylo, quemadmodum |
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1864 pycnostyla, sive systylo aut diastylo aut eustylo, quemadmodum supra scripta sunt et constituta. </s><s>in araeostylis enim |
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1865 libertas est quantum cuique libet constituendi. </s><s>sed ita columnae in peripteris conlocentur, uti, quot intercolumnia |
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1866 sunt in fronte, totidem bis intercolumnia fiant in lateribus; |
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1867 ita enim erit duplex longitudo operis ad latitudinem. </s><s>namque qui columnarum duplicationes fecerunt, erravisse videntur, quod unum intercolumnium in longitudine plus quam oporteat procurrere videtur. |
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1868 </s></p></subchap2> |
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1869 <subchap2><p type="main"><s> |
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1870 Gradus in fronte constituendi ita sunt, uti sint semper inpares; namque cum dextro pede |
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1871 primus gradus ascendatur, item in summo templo primus |
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1872 erit ponendus. </s><s>crassitudines autem eorum graduum ita |
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1873 finiendas censeo, ut neque crassiores dextante nec tenuiores |
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1874 dodrante sint conlocatae; sic enim durus non erit ascensus. </s><s>retractiones autem graduum nec minus quam sesquipedales |
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1875 nec plus quam bipedales faciendae videntur. </s><s>item si circa |
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1876 aedem gradus futuri sunt, ad eundem modum fieri debent. |
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1877 </s></p></subchap2> |
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1878 <subchap2><p type="main"><s> |
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1879 Sin autem circa aedem ex tribus lateribus podium faciendum |
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1880 erit, id constituatur, uti quadrae, spirae, trunci, coronae, |
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1881 lysis ad ipsum stylobatam, qui erit sub columnarum spiris, |
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1882 conveniant. </s><s>stylobatam ita oportet exaequari, uti habeat |
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1883 per medium adiectionem per scamillos inpares; si enim ad |
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1884 libellam dirigetur, alveolatum oculo videbitur. </s><s>hoc autem, |
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1885 ut scamilli ad id convenientes fiant, item in extremo libro |
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1886 forma et demonstratio erit descripta. |
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1887 </s></p></subchap2> |
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1888 </subchap1> |
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1889 <subchap1> |
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1890 <subchap2><p type="main"><s> |
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1891 His perfectis in suis locis spirae conlocentur, eaeque ad |
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1892 symmetriam sic perficiantur, uti crassitudo cum plintho |
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1893 sit columnae ex dimidia crassitudine proiecturamque, quam |
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1894 Graeci <foreign lang="greek">e)kfora/n</foreign> vocitant, habeant <emph type="smallcaps"/>S<emph.end/> extantem: ita tum lata et longa erit columnae crassitudinis unius et dimidiae. |
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1895 </s></p></subchap2> |
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1896 <subchap2><p type="main"><s> |
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1897 Altitudo eius, si atticurges erit, ita dividatur, ut superior pars |
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1898 tertia parte sit crassitudinis columnae, reliquum plintho |
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1899 relinquatur. </s><s>dempta plintho reliquum dividatur in partes |
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1900 quattuor, fiatque superior torus quartae; reliquae tres aequaliter dividantur, et una sit inferior torus, altera pars cum suis quadris scotia, quam Graeci <foreign lang="greek">troxi/lon</foreign> dicunt. |
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1901 </s></p></subchap2> |
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1902 <subchap2><p type="main"><s> |
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1903 Sin autem ionicae erunt faciendae, symmetriae earum sic erunt constituendae, uti latitudo spirae quoqueversus sit columnae |
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1904 crassitudinis adiecta <e> crassitudine quarta et octava. </s><s>altitudo ita uti atticurges; item et eius plinthos; reliquumque |
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1905 praeter plinthum, quod erit tertia pars crassitudinis columnae, dividatur in partes septem: inde trium partium |
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1906 torus, qui est in summo; reliquae quattuor partes dividendae |
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1907 sunt aequaliter, et una pars fiat cum suis astragalis et supercilio superior trochilus, altera pars inferiori trochilo relinquatur; sed inferior maior apparebit, ideo quod habebit ad |
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1908 extremam plinthum proiecturam. </s><s>astragali faciendi sunt |
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1909 octavae partis trochili. </s><s>proiectura erit spirae pars octava |
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1910 et sexta decuma pars crassitudinis columnae. |
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1911 </s></p></subchap2> |
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1912 <subchap2><p type="main"><s> |
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1913 Spiris perfectis et conlocatis columnae sunt medianae |
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1914 in pronao et postico ad perpendiculum medii centri conlocandae, angulares autem quaeque e regione earum futurae |
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1915 sunt in lateribus aedis dextra ac sinistra, uti partes interiores, quae ad parietes cellae spectant, ad perpendiculum |
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1916 latus habeant conlocatum, exteriores autem partes †uti |
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1917 dicant se earum contracturam. </s><s>sic enim erunt figurae compositionis aedium contractura eius tali ratione exactae. |
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1918 </s></p></subchap2> |
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1919 <subchap2><p type="main"><s> |
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1920 Scapis columnarum statutis capitulorum ratio <sic est |
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1921 habenda.> si pulvinata erunt, his symmetriis conformabuntur, |
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1922 uti, quam crassus imus scapus fuerit addita octava decuma |
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1923 parte scapi, abacus habeat longitudinem et latitudinem; |
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1924 crassitudinem cum volutis eius dimidiam. </s><s>recedendum |
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1925 autem est ab extremo abaco in interiorem partem frontibus |
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1926 volutarum parte duodevicensima et eius dimidia. </s><s>tunc |
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1927 crassitudo dividenda est in partes novem et dimidiam, et |
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1928 secundum abacum in quattuor partibus volutarum secundum extremi abaci quadram lineae demittendae, quae |
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1929 cathetoe dicuntur. </s><s>tunc ex novem partibus et dimidia una |
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1930 pars et dimidia abaci crassitudo relinquatur, reliquae octo volutis constituantur. |
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1931 </s></p></subchap2> |
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1932 <subchap2><p type="main"><s> |
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1933 Tunc ab linea, quae secundum abaci extremam partem demissa erit, in interiorem partem <alia> |
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1934 recedat unius et dimidiatae partis latitudine. </s><s>deinde hae |
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1935 lineae dividantur ita, ut quattuor partes et dimidia sub |
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1936 abaco relinquantur. </s><s>tunc in eo loco, qui locus dividit |
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1937 quattuor et dimidiam et tres et dimidiam partem, centrum oculi <conlocetur> signeturque ex eo centro rotunda circinatio tam magna in diametro, quam una pars ex |
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1938 octo partibus est. </s><s>ea erit oculi magnitudine, et in ea catheto respondens diametros agatur. </s><s>tunc ab summo sub |
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1939 abaco inceptum <schema volutae> in singulis tetrantorum |
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1940 actionibus dimidiatum oculi spatium minuatur, doneque in eundem tetrantem, qui subest, conveniat. |
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1941 </s></p></subchap2> |
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1942 <subchap2><p type="main"><s> |
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1943 Capituli autem crassitudo sic est facienda, ut ex novem partibus et dimidia tres partes praependeant infra astragalum summi |
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1944 scapi; cymatio, adempto abaco et canali, reliqua sit pars. </s><s>proiectura autem cymatii habeat extra abaci quadram |
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1945 oculi magnitudinem. </s><s>pulvinorum baltei ab abaco hanc habeant proiecturam, uti circini centrum unum cum sit positum |
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1946 in capituli tetrante et alterum diducatur ad extremum cymatium, circumactum balteorum extremas partes tangat. </s><s>axes |
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1947 volutarum ne crassiores sint quam oculi magnitudo, volutaeque ipsae succidantur altitudinis suae duodecimam partem. </s><s>haec erunt symmetriae capitulorum, quae columnae futurae |
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1948 sunt ab minimo ad pedes <emph type="smallcaps"/>XXV<emph.end/>. quae supra erunt, reliqua |
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1949 habebunt ad eundem modum symmetrias, abacus autem |
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1950 erit longus et latus, quam crassa columna est ima adiecta |
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1951 parte <emph type="smallcaps"/>VIIII<emph.end/>, uti, quo minus habuerit altior columna contractum, |
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1952 eo ne minus habeat capitulum suae symmetriae proiecturam et in latitudine suae partis adiectionem. |
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1953 </s></p></subchap2> |
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1954 <subchap2><p type="main"><s> |
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1955 De volutarum descriptionibus, uti ad circinum sint recte involutae, quemadmodum describantur, in extremo libro forma et ratio earum |
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1956 erit subscripta. |
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1957 </s> |
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1958 </p><p type="main"><s> |
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1959 Capitulis perfectis, deinde <in scapis> columnarum non |
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1960 ad libellam sed ad aequalem modulum conlocatis, ut, quae |
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1961 adiectio in stylobatis facta fuerit, in superioribus membris |
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1962 respondeat [symmetria epistyliorum], epistyliorum ratio sic |
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1963 est habenda, uti, si columnae fuerint a minima <emph type="smallcaps"/>XII<emph.end/> pedum |
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1964 ad quindecim pedes, epistylii sit altitudo dimidia crassitudinis imae columnae; item <si> ab <emph type="smallcaps"/>XV<emph.end/> pedibus ad <emph type="smallcaps"/>XX<emph.end/>, |
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1965 columnae altitudo dimetiatur in partes tredecim, et unius |
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1966 partis altitudo epistylii fiat; item si <emph type="smallcaps"/>XX<emph.end/> ad <emph type="smallcaps"/>XXV<emph.end/> pedes, dividatur altitudo in partes <emph type="smallcaps"/>XII<emph.end/> et semissem, et eius una pars |
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1967 epistylium in altitudine fiat; item si ab <emph type="smallcaps"/>XXV<emph.end/> pedibus ad <emph type="smallcaps"/>XXX<emph.end/>, |
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1968 dividatur in partes <emph type="smallcaps"/>XII<emph.end/>, et eius una pars altitudo fiat. </s><s>item |
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1969 <si quae altiores erunt,> rata parte ad eundem modum |
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1970 ex altitudine columnarum expediendae sunt altitudines epistyliorum. |
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1971 </s></p></subchap2> |
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1972 <subchap2><p type="main"><s> |
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1973 Quo altius enim scandit oculi species, non facile |
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1974 persecat aeris crebritatem; dilapsa itaque altitudinis spatio |
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1975 et viribus exuta incertam modulorum renuntiat sensibus |
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1976 quantitatem. </s><s>quare semper adiciendum est rationis supplementum in symmetriarum membris, ut, cum fuerint aut |
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1977 altioribus locis opera aut etiam ipsa colossicotera, habeant |
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1978 magnitudinum rationem. </s><s>epistylii latitudo in imo, quod |
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1979 supra capitulum erit, quanta crassitudo summae columnae |
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1980 sub capitulo erit, tanta fiat; summum, quantum imus scapus. |
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1981 </s></p></subchap2> |
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1982 <subchap2><p type="main"><s> |
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1983 Cymatium epistylii septima parte suae altitudinis est faciendum, et in proiectura tantundem. </s><s>reliqua pars praeter |
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1984 cymatium dividenda est in partes <emph type="smallcaps"/>XII<emph.end/>, et earum trium ima |
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1985 fascia est facienda, secunda <emph type="smallcaps"/>IIII<emph.end/>, summa <emph type="smallcaps"/>V<emph.end/>. item zophorus |
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1986 supra epistylium quarta parte minus <altus> quam epistylium; sin autem sigilla designari oportuerit, quarta parte |
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1987 altior quam epistylium, uti auctoritatem habeant scalpturae. </s><s>cymatium suae altitudinis partis septimae; proiecturae cymatiûm quantum crassitudo. |
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1988 </s></p></subchap2> |
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1989 <subchap2><p type="main"><s> |
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1990 Supra zophorum denticulus est faciendus tam altus quam epistylii media fascia; |
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1991 proiectura eius quantum altitudo. </s><s>intersectio, quae graece |
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1992 <foreign lang="greek">meto/ph</foreign> dicitur, sic est dividenda, uti denticulus altitudinis |
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1993 suae dimidiam partem habeat in fronte, cavus autem intersectionis huius frontis e tribus duas partes; huius cymatium |
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1994 altitudinis eius sextam partem. </s><s>corona cum suo cymatio, |
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1995 praeter simam, quantum media fascia epistylii; proiectura coronae cum denticulo facienda est, quantum erit |
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1996 altitudo a zophoro ad summum coronae cymatium; et |
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1997 omnino omnes ecphorae venustiorem habeant speciem, quae quantum altitudinis tantundem habent proiecturae. |
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1998 </s></p></subchap2> |
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1999 <subchap2><p type="main"><s> |
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2000 Tympani autem, quod est in fastigio, altitudo sic est facienda, |
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2001 uti frons coronae ab extremis cymatiis tota dimetiatur in |
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2002 partes novem et ex eis una pars in medio cacumini tympani constituatur, dum contra epistylia columnarumque |
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2003 hypotrachelia ad perpendiculum respondeant. </s><s>coronaeque supra aequaliter imis praeter simas sunt conlocandae. </s><s>insuper coronas simae, quas Graeci <foreign lang="greek">e)paieti/des</foreign> dicunt, faciendae sunt altiores octava parte coronarum altitudinis. </s><s>acroteria angularia tam alta, quantum est tympanum medium, |
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2004 mediana altiora octava parte quam angularia. |
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2005 </s></p></subchap2> |
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2006 <subchap2><p type="main"><s> |
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2007 Membra omnia, quae supra capitula columnarum sunt |
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2008 futura, id est epistylia, zophora, coronae, tympana, fastigia, |
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2009 acroteria, inclinanda sunt in fronte suae cuiusque altitudinis |
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2010 parte <emph type="smallcaps"/>XII<emph.end/>, ideo quod, cum steterimus contra frontes, ab oculo |
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2011 lineae duae si extensae fuerint et una tetigerit imam operis |
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2012 partem, altera summam, quae summam tetigerit, longior fiet. </s><s>ita quo longior visus linea in superiorem partem procedit, |
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2013 resupinatam facit eius speciem. </s><s>cum autem, uti supra scriptum est, in fronte inclinata fuerint, tunc in aspectu videbuntur esse ad perpendiculum et normam. |
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2014 </s></p></subchap2> |
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2015 <subchap2><p type="main"><s> |
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2016 Columnarum striae faciendae sunt <emph type="smallcaps"/>XXIIII<emph.end/> ita excavatae, uti norma in cavo |
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2017 striae cum fuerit coniecta, circumacta anconibus <angulos> |
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2018 striarum dextra ac sinistra tangat cacumenque normae circum rotundationem tangendo pervagari possit. </s><s>crassitudines |
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2019 striarum faciendae sunt, quantum adiectio in media columna ex descriptione invenietur. |
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2020 </s></p></subchap2> |
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2021 <subchap2><p type="main"><s> |
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2022 In simis, quae supra coronam in lateribus sunt aedium, capita leonina sunt scalpenda, |
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2023 disposita <ita>, uti contra columnas singulas primum sint |
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2024 designata, cetera aequali modo disposita, uti singula singulis |
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2025 mediis tegulis respondeant. </s><s>haec autem, quae erunt contra |
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2026 columnas, perterebrata sint ad canalem, qui excipit e tegulis |
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2027 aquam caelestem; mediana autem sint solida, uti, quae cadit |
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2028 vis aquae per tegulas in canalem, ne deiciatur per intercolumnia neque transeuntes perfundat, sed quae sunt contra columnas, videantur emittere vomentia ructus aquarum |
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2029 ex ore. |
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2030 </s> |
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2031 </p><p type="main"><s> |
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2032 Aedium ionicarum, quam apertissime potui, dispositiones |
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2033 hoc volumine scripsi; doricarum autem et corinthiarum quae |
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2034 sint proportiones, insequenti libro explicabo. |
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2035 </s></p></subchap2> |
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2036 </subchap1> |
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2037 </chap> |
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2038 <chap> |
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2039 <!-- 4,t,1,1 --> |
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2040 <p type="head"><s>LIBER QUARTUS</s></p> |
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2041 <subchap1> |
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2042 <subchap2><p type="main"><s> |
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2043 Cum animadvertissem, imperator, plures de architectura |
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2044 praecepta voluminaque commentariorum non ordinata sed |
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2045 incepta uti particulas errabundas reliquisse, dignam et utilissimam rem putavi tantae disciplinae corpus ad perfectam |
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2046 ordinationem perducere et praescriptas in singulis voluminibus singulorum generum qualitates explicare. </s><s>itaque, Caesar, |
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2047 primo volumine tibi de officio eius et quibus eruditum esse |
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2048 rebus architectum oporteat, exposui. </s><s>secundo de copiis materiae, e quibus aedificia constituuntur, disputavi; tertio |
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2049 autem de aedium sacrarum dispositionibus et de earum generum varietate quasque et quot habeant species earumque quae sunt in singulis generibus distributiones. |
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2050 </s></p></subchap2> |
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2051 <subchap2><p type="main"><s> |
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2052 Ex tribus generibus quae subtilissimas haberent proportionibus modulorum quantitates ionici generis moribus, docui; nunc hoc |
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2053 volumine de doricis corinthiisque constitutis et omnibus |
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2054 dicam eorumque discrimina et proprietates explicabo. |
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2055 </s></p></subchap2> |
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2056 </subchap1> |
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2057 <subchap1> |
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2058 <subchap2><p type="main"><s> |
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2059 Columnae corinthiae praeter capitula omnes symmetrias |
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2060 habent uti ionicae, sed capitulorum altitudines efficiunt |
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2061 eas pro rata excelsiores et graciliores, quod ionici capituli |
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2062 altitudo tertia pars est crassitudinis columnae, corinthii |
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2063 tota crassitudo scapi. </s><s>igitur quod duae partes e crassitudine corinthiarum adiciuntur, efficiunt excelsitate speciem earum graciliorem. |
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2064 </s></p></subchap2> |
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2065 <subchap2><p type="main"><s> |
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2066 Cetera membra, quae supra columnas inponuntur, aut e doricis symmetriis aut ionicis moribus |
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2067 in corinthiis columnis conlocantur, quod ipsum corinthium |
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2068 genus propriam coronarum reliquorumque ornamentorum |
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2069 non habuerat institutionem, sed aut e triglyphorum rationibus mutuli in coronis et epistyliis guttae dorico more disponuntur, aut ex ionicis institutis zophoroe scalpturis ornati cum denticulis et coronis distribuuntur. |
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2070 </s></p></subchap2> |
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2071 <subchap2><p type="main"><s> |
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2072 Ita e generibus duobus capitulo interposito tertium genus in operibus est |
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2073 procreatum. </s><s>e columnarum enim formationibus trium generum factae sunt nominationes, dorica, ionica, corinthia, e |
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2074 quibus prima et antiquitus dorica est nata. |
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2075 </s> |
|
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2076 </p><p type="main"><s> |
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2077 Namque Achaia Peloponnensoque tota Dorus, Hellenos |
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2078 et Pthias nymphae filius, regnavit, isque Argis, vetusta |
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2079 civitate, Iunonis templo aedificavit eius generis fortuito |
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2080 formae fanum, deinde isdem generibus in ceteris Achaiae |
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2081 civitatibus, cum etiamnum non esset symmetriarum rationata. |
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2082 </s></p></subchap2> |
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2083 <subchap2><p type="main"><s> |
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2084 Postea autem quam Athenienses ex responsis Apollinis Delphici, communi consilio totius Hellados, <emph type="smallcaps"/>XIII<emph.end/> colonias uno tempore in Asiam deduxerunt ducesque singulis |
|
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2085 coloniis constituerunt et summam imperii potestatem Ioni, |
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2086 Xuthi et Creusae filio, dederunt, quem etiam Apollo Delphis |
|
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2087 suum filium in responsis est professus, isque eas colonias |
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2088 in Asiam deduxit et Cariae fines occupavit ibique civitates |
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2089 amplissimas constituit Ephesum, Miletum, Myunta, (quae |
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|
2090 olim ab aqua est devorata; cuius sacra et suffragium Milesiis |
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2091 Iones attribuerunt), Prienen, Samum, Teon, Colophona, |
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2092 Chium, Erythras, Phocaeam, Clazomenas, Lebedon, Meliten |
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2093 (haec Melite propter civium adrogantiam ab his civitatibus |
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2094 bello indicto communi consilio est sublata; cuius loco postea |
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2095 regis Attali et Arsinoes beneficio Zmyrnaeorum civitas inter |
|
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|
2096 </s></p></subchap2> |
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|
2097 <subchap2><p type="main"><s> |
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2098 Ionas est recepta): hae civitates, cum Caras et Lelegas eiecissent, eam terrae regionem a duce suo Ione appellaverunt |
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2099 Ioniam ibique deorum inmortalium templa constituentes |
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2100 coeperunt fana aedificare. </s><s>et primum Apollini Panionio |
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2101 aedem, uti viderant in Achaia, constituerunt et eam Doricam |
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2102 appellaverunt, quod in Dorieon civitatibus primum factam eo genere viderunt. |
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|
2103 </s></p></subchap2> |
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|
2104 <subchap2><p type="main"><s> |
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2105 In ea aede cum voluissent columnas conlocare, non habentes symmetrias earum et quaerentes, |
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2106 quibus rationibus efficere possent, uti et ad onus ferendum |
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2107 essent idoneae et in aspectu probatam haberent venustatem, |
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2108 dimensi sunt virilis pedis vestigium et id retulerunt in altitudinem. </s><s>cum invenissent pedem sextam partem esse altitudinis in homine, item in columnam transtulerunt et, qua |
|
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2109 crassitudine fecerunt basim scapi, tantas sex cum capitulo |
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|
2110 in altitudinem extulerunt. </s><s>ita dorica columna virilis corporis proportionem et firmitatem et venustatem in aedificiis praestare coepit. |
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|
2111 </s></p></subchap2> |
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|
2112 <subchap2><p type="main"><s> |
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|
2113 Item postea Dianae <cum cogitarent> constituere aedem, |
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|
2114 quaerentes novi generis speciem isdem vestigiis ad muliebrem transtulerunt gracilitatem, et fecerunt primum columnae crassitudinem altitudinis octava parte, ut haberet |
|
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2115 speciem excelsiorem. </s><s>basi spiram supposuerunt pro calceo, |
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|
2116 capitulo volutas uti capillamento concrispatos cincinnos |
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2117 praependentes dextra ac sinistra conlocaverunt et cymatiis |
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2118 et encarpis pro crinibus dispositis frontes ornaverunt truncoque toto strias uti stolarum rugas matronali more demiserunt. </s><s>ita duobus discriminibus columnarum inventionem, unam virili sine ornatu nuda specie, alteram muliebri |
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|
2119 </s></p></subchap2> |
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|
2120 <subchap2><p type="main"><s> |
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2121 Subtilitate et ornatu symmetriaque sunt mutuati. </s><s>posteri |
|
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|
2122 vero elegantia subtilitateque iudiciorum progressi et gracilioribus modulis delectati septem crassitudinis diametros |
|
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|
2123 in altitudinem columnae doricae, ionicae novem constituerunt. </s><s>id autem <genus>, quod Iones fecerunt primo, |
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2124 Ionicum est nominatum. |
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2125 </s> |
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2126 </p><p type="main"><s> |
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2127 Tertium vero, quod Corinthium dicitur, virginalis habet |
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2128 gracilitatis imitationem, quod virginis propter aetatis teneritatem gracilioribus membris figuratae effectus recipiunt ornatus venustiores. |
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2129 </s></p></subchap2> |
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2130 <subchap2><p type="main"><s> |
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2131 Eius autem capituli prima inventio sic memoratur esse facta. </s><s>virgo civis Corinthia iam matura |
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2132 nuptiis inplicata morbo decessit. </s><s>post sepulturam eius, quibus ea virgo viva pupulis delectabatur, nutrix collecta et |
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2133 composita in calatho pertulit ad monumentum et in summo |
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2134 conlocavit et, uti ea permanerent diutius subdiu, tegula |
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2135 texit. </s><s>is calathus fortuito supra acanthi radicem fuerat conlocatus. </s><s>interim pondere pressa radix acanthi media folia |
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2136 et cauliculos circum vernum tempus profudit, cuius cauliculi |
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2137 secundum calathi latera crescentes et ab angulis tegulae |
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2138 ponderis necessitate expressi flexuras in extremas partes volutarum facere sunt coacti. |
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2139 </s></p></subchap2> |
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2140 <subchap2><p type="main"><s> |
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2141 Tunc Callimachus, qui propter elegantiam et subtilitatem artis marmoreae ab Atheniensibus <foreign lang="greek">katathci/texnos</foreign> fuerat nominatus, praeteriens hoc |
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2142 monumentum animadvertit eum calathum et circa foliorum |
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2143 nascentem teneritatem, delectatusque genere et formae |
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2144 novitate ad id exemplar columnas apud Corinthios fecit |
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2145 symmetriasque constituit <et> ex eo in operis perfectionibus Corinthii generis distribuit rationes. |
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2146 </s></p></subchap2> |
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2147 <subchap2><p type="main"><s> |
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2148 Eius autem capituli symmetria sic est facienda, uti, quanta fuerit crassitudo |
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2149 imae columnae, tanta sit altitudo capituli cum abaco. </s><s>abaci |
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2150 latitudo ita habeat rationem, ut, quanta fuerit altitudo, tanta |
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2151 duo sint diagonia ab angulo ad angulum spatia; ita enim |
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2152 iustas habebunt frontes quoquoversus latitudines. </s><s>frontes |
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2153 sinuentur introrsus ab extremis angulis abaci suae frontis |
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2154 latitudinis nona. </s><s>imum capituli tantam habeat crassitudinem, quantam habet summa columna praeter apothesim |
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2155 et astragalum. </s><s>abaci crassitudo septima capituli altitudinis. |
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2156 </s></p></subchap2> |
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2157 <subchap2><p type="main"><s> |
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2158 Dempta abaci crassitudine dividatur reliqua pars in partes |
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2159 tres, e quibus una imo folio detur; secundum folium mediam |
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2160 altitudinem teneat; coliculi eandem habeant altitudinem, |
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2161 e quibus folia nascuntur proiecta, uti excipiant quae ex |
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2162 coliculis natae procurrunt ad extremos angulos volutae; |
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2163 minoresque helices infra sinum medium, qui est in abaco, |
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2164 <sub> flores subiecti scalpantur. </s><s>flores in quattuor partibus, |
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2165 quanta erit abaci crassitudo, tam magni formentur. </s><s>ita his |
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2166 symmetriis corinthia capitula suas habebunt exactiones. |
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2167 </s> |
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2168 </p><p type="main"><s> |
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2169 Sunt autem, quae isdem columnis inponuntur, capitulorum |
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2170 genera variis vocabulis nominata, quorum nec proprietates |
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2171 symmetriarum nec columnarum genus aliud nominare possumus, sed ipsorum vocabula traducta et commutata ex corinthiis et pulvinatis et doricis videmus, quorum symmetriae sunt in novarum scalpturarum translatae subtilitatem. |
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2172 </s></p></subchap2> |
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2173 </subchap1> |
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2174 <subchap1> |
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2175 <subchap2><p type="main"><s> |
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2176 Quoniam autem de generibus columnarum origines et |
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2177 inventiones supra sunt scriptae, non alienum mihi videtur |
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2178 isdem rationibus de ornamentis eorum, quemadmodum sunt |
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2179 prognata et quibus principiis et originibus inventa, dicere. </s><s>in aedificiis omnibus insuper conlocatur materiatio variis |
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2180 vocabulis nominata. </s><s>ea autem uti in nominationibus, ita |
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2181 in re varias habet utilitates. </s><s>trabes enim supra columnas |
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2182 et parastaticas et antas ponuntur; in contignationibus tigna |
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2183 et axes; sub tectis, si maiora spatia sunt, et transtra et |
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2184 capreoli, si commoda, columen, et cantherii prominentes |
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2185 ad extremam suggrundationem; supra cantherios templa; |
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2186 deinde insuper sub tegulas asseres ita prominentes, uti parietes proiecturis eorum tegantur. |
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2187 </s></p></subchap2> |
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2188 <subchap2><p type="main"><s> |
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2189 Ita unaquaeque res et locum et genus et ordinem proprium tuetur. </s><s>e quibus rebus |
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2190 et a materiatura fabrili in lapideis et marmoreis aedium sacrarum aedificationibus artifices dispositiones eorum scalpturis sunt imitati et eas inventiones persequendas putaverunt. </s><s>ideo, quod antiqui fabri quodam in loco aedificantes, cum ita ab interioribus parietibus ad extremas partes tigna prominentia habuissent conlocata, inter tigna |
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2191 struxerunt supraque coronas et fastigia venustiore specie |
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2192 fabrilibus operibus ornaverunt, tum proiecturas tignorum, |
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2193 quantum eminebant, ad lineam et perpendiculum parietum |
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2194 praesecuerunt, quae species cum invenusta îs visa esset, |
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2195 tabellas ita formatas, uti nunc fiunt triglyphi, contra tignorum praecisiones in fronte fixerunt et eas cera caerulea |
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2196 depinxerunt, ut praecisiones tignorum tectae non offenderent visum: ita divisiones triglyphorum et <met>oparum |
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2197 tignorum dispositione et intertigniûm habere in doricis operibus coeperunt. |
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2198 </s></p></subchap2> |
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2199 <subchap2><p type="main"><s> |
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2200 Postea alii in aliis operibus ad perpendiculum triglyphorum cantherios prominentes proiecerunt eorumque proiecturas simaverunt. </s><s>ex eo, uti |
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2201 tignorum dispositionibus triglyphi, ita e cantheriorum |
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2202 proiecturis mutulorum sub coronis ratio est inventa. </s><s>ita |
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2203 fere in operibus lapideis et marmoreis mutuli inclinatis |
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2204 scalpturis deformantur, quod imitatio est cantheriorum; |
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2205 etenim necessario propter stillicidia proclinati conlocantur. </s><s>ergo et triglyphorum et mutulorum in doricis operibus |
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2206 ratio ex ea imitatione inventa est. |
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2207 </s></p></subchap2> |
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2208 <subchap2><p type="main"><s> |
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2209 Non enim, quemadmodum nonnulli errantes dixerunt |
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2210 fenestrarum imagines esse triglyphos, ita potest esse, quod |
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2211 in angulis contraque tetrantes columnarum triglyphi constituuntur, quibus in locis omnino non patitur res fenestras |
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2212 fieri. </s><s>dissolvuntur enim angulorum in aedificiis iuncturae, |
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2213 si in îs fenestrarum fuerint lumina relicta. </s><s>etiamque ubi |
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2214 nunc triglyphi constituuntur, si ibi luminum spatia fuisse |
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2215 iudicabuntur, isdem rationibus denticuli in ionicis fenestrarum occupavisse loca videbuntur. </s><s>utraque enim, et inter |
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2216 denticulos et inter triglyphos quae sunt intervalla, metopae nominantur. <foreign lang="greek">o)pai</foreign> enim Graeci tignorum cubicula et asserum appellant, uti nostri ea cava columbaria. </s><s>ita quod |
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2217 inter duas opas est intertignium, id <foreign lang="greek">meto/ph</foreign> est apud eos |
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2218 nominata. |
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2219 </s></p></subchap2> |
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2220 <subchap2><p type="main"><s> |
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2221 Ita uti autem in doricis triglyphorum et mutulorum est |
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2222 inventa ratio, item in ionicis denticulorum constitutio |
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2223 propriam in operibus habet rationem, et quemadmodum |
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2224 mutuli cantheriorum proiecturae ferunt imaginem, sic in |
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2225 ionicis denticuli ex proiecturis asserum habent imitationem. </s><s>itaque in graecis operibus nemo sub mutulo denticulos constituit; non enim possunt subtus cantherios |
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2226 asseres esse. </s><s>quod ergo supra cantherios et templa in veritate debet esse conlocatum, id in imaginibus si infra |
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2227 constitutum fuerit, mendosam habebit operis rationem. </s><s>etiam quod antiqui non probaverunt, neque instituerunt |
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2228 in fastigiis <mutulos aut> denticulos fieri sed puras coronas, ideo quod nec cantherii nec asseres contra fastigiorum frontes distribuuntur nec possunt prominere, sed |
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2229 ad stillicidia proclinati conlocantur. </s><s>ita quod non potest |
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2230 in veritate fieri, id non putaverunt in imaginibus factum posse certam rationem habere. |
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2231 </s></p></subchap2> |
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2232 <subchap2><p type="main"><s> |
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2233 Omnia enim certa proprietate et a veris naturae deducta moribus transduxerunt |
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2234 in operum perfectiones, et ea probaverunt, quorum explicationes in disputationibus rationem possunt habere |
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2235 veritatis. </s><s>itaque ex eis originibus symmetrias et proportiones uniuscuiusque generis constitutas reliquerunt. </s><s>quorum ingressus persecutus de ionicis et corinthiis institutionibus supra dixi; nunc vero doricam rationem |
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2236 summamque eius speciem breviter exponam. |
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2237 </s></p></subchap2> |
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2238 </subchap1> |
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2239 <subchap1> |
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2240 <subchap2><p type="main"><s> |
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2241 Nonnulli antiqui architecti negaverunt dorico genere |
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2242 aedes sacras oportere fieri, quod mendosae et disconvenientes in his symmetriae conficiebantur. </s><s>itaque negavit |
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2243 Arcesius, item Pytheos, non minus Hermogenes. </s><s>nam is |
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2244 cum paratam habuisset marmoris copiam in doricae aedis |
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2245 perfectionem, commutavit ex eadem copia et eam ionicam Libero Patri fecit. </s><s>sed tamen non quod invenusta |
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2246 est species aut genus aut formae dignitas, sed quod inpedita est distributio et incommoda in opere triglyphorum et lacunariorum [distributione]. |
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2247 </s></p></subchap2> |
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2248 <subchap2><p type="main"><s> |
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2249 Namque necesse est triglyphos constitui contra medios tetrantes columnarum, metopasque, quae inter triglyphos fient, aeque longas esse |
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2250 quam altas. </s><s>contraque in angulares columnas triglyphi in extremis partibus constituuntur et non contra medios |
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2251 tetrantes. </s><s>ita metopae, quae proximae ad angulares triglyphos fiunt, non exeunt quadratae sed oblongiores triglyphi dimidia latitudine. </s><s>at qui metopas aequales volun facere, intercolumnia extrema contrahunt triglyphi dimidia latitudine. </s><s>hoc autem, sive metoparum longitudinibus sive intercolumniorum contractionibus efficietur, est mendosum. </s><s>quapropter antiqui vitare visi sunt in aedibus sacris doricae symmetriae rationem. |
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2252 </s></p></subchap2> |
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2253 <subchap2><p type="main"><s> |
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2254 Nos autem exponimus, uti ordo postulat, quemadmodum a praeceptoribus accepimus, uti, si qui voluerit his |
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2255 rationibus attendens ita ingredi, habeat proportiones explicatas, quibus emendatas et sine vitiis efficere possit |
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2256 aedium sacrarum dorico more perfectiones. </s><s>frons aedis |
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2257 doricae in loco, quo columnae constituuntur, dividatur, si |
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2258 tetrastylos erit, in partes <emph type="smallcaps"/>XXVII<emph.end/>, si hexastylos, <emph type="smallcaps"/>XXXXII<emph.end/>. ex |
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2259 his pars una erit modulus, qui graece <foreign lang="greek">e)mba/ths</foreign> dicitur, |
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2260 cuius moduli constitutione ratiocinationibus efficiuntur omnis operis distributiones. |
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2261 </s></p></subchap2> |
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2262 <subchap2><p type="main"><s> |
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2263 Crassitudo columnarum erit duorum modulorum, altitudo cum capitulo <emph type="smallcaps"/>XIIII<emph.end/>. capituli |
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2264 crassitudo unius moduli, latitudo duorum et moduli sextae partis. </s><s>crassitudo capituli dividatur in partes tres, e |
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2265 quibus una plinthus cum cymatio fiat, altera echinus cum |
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2266 anulis, tertia hypotrachelion. </s><s>contrahatur columna ita, uti |
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2267 in tertio libro de ionicis est scriptum. </s><s>epistylii altitudo |
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2268 unius moduli cum taenia et guttis; taenia moduli septima; |
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2269 guttarum longitudo sub taenia contra triglyphos alta cum |
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2270 regula parte sexta moduli praependeat. </s><s>item epistylii latitudo ima respondeat hypotrachelio summae columnae. </s><s>supra epistylium conlocandi sunt triglyphi cum suis metopis, alti unius <et> dimidiati moduli, lati in fronte unius |
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2271 moduli, ita divisi, ut in angularibus columnis et in mediis |
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2272 contra tetrantes medios sint conlocati, et intercolumniis reliquis bini, in mediis pronao et postico terni. </s><s>ita |
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2273 relaxatis mediis intervallis sine inpeditionibus aditus accedentibus erit ad deorum simulacra. |
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2274 </s></p></subchap2> |
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2275 <subchap2><p type="main"><s> |
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2276 Triglyphorum latitudo dividatur in partes sex, ex quibus partibus quinque |
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2277 in medio, duae dimidiae dextra ac sinistra designentur |
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2278 regula. </s><s>una in medio deformetur femur, quod graece |
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2279 <foreign lang="greek">mhro/s</foreign> dicitur; secundum eam canaliculi ad normae cacumen inprimantur; ex ordine eorum dextra ac sinistra |
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2280 altera femina constituantur; in extremis partibus semicanaliculi intervertantur. </s><s>triglyphis ita conlocatis, metopae, quae sunt inter triglyphos, aeque altae sint quam |
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2281 longae; item in extremis angulis hemimetopia sint inpressa |
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2282 dimidia moduli latitudine. </s><s>ita enim erit, ut omnia vitia |
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2283 et metoparum et intercolumniorum et lacunariorum, quod aequales divisiones factae erunt, emendentur. |
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2284 </s></p></subchap2> |
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2285 <subchap2><p type="main"><s> |
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2286 Triglyphi capitula sexta parte moduli sunt faciunda. </s><s>supra triglyphorum capitula corona est conlocanda in proiectura dimidiae et sextae partis habens cymatium doricum in imo, |
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2287 alterum in summo. </s><s>item cum cymatiis corona crassa ex |
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2288 dimidia moduli. </s><s>dividendae autem sunt in corona ima ad |
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2289 perpendiculum triglyphorum et medias metopas viarum |
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2290 directiones et guttarum distributiones, ita uti guttae sex |
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2291 in longitudinem, tres in latitudinem pateant. </s><s>reliqua |
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2292 spatia, quod latiores sunt metopae quam triglyphi, pura |
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2293 relinquantur aut †flumina scalpantur, ad ipsumque mentum |
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2294 coronae incidatur linea quae scotia dicitur. </s><s>reliqua omnia, |
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2295 tympana, simae, coronae, quemadmodum supra scriptum |
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2296 est in ionicis, ita perficiantur. |
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2297 </s></p></subchap2> |
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2298 <subchap2><p type="main"><s> |
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2299 Haec ratio in operibus diastylis erit constituta. </s><s>si vero |
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2300 systylon et monotriglyphon opus erit faciundum, frons |
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2301 aedis, si tetrastylos erit, dividatur in partes <emph type="smallcaps"/>XVIIII S<emph.end/>, si |
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2302 hexastylos erit, dividatur in partes <emph type="smallcaps"/>XXVIIII S<emph.end/>. ex his pars |
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2303 una erit modulus, ad quem, uti supra scriptum est, dividantur. |
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2304 </s></p></subchap2> |
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2305 <subchap2><p type="main"><s> |
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2306 Ita supra singula epistylia et metopae et triglyphi bini erunt conlocandi, in angularibus hoc amplius |
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2307 dimidiatus et, quantum est spatium hemitriglyphi, id accedit. </s><s>in mediano contra fastigium trium triglyphorum |
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2308 et trium metoparum spatium distabit, quo latius medium |
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2309 intercolumnium accedentibus ad aedem habeat laxamentum |
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2310 et adversus simulacra deorum aspectus dignitatem. |
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2311 </s></p></subchap2> |
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2312 <subchap2><p type="main"><s> |
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2313 Columnas autem striari <emph type="smallcaps"/>XX<emph.end/> striis oportet. </s><s>quae si |
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2314 planae erunt, angulos habeant <emph type="smallcaps"/>XX<emph.end/> designatos. </s><s>sin autem |
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2315 excavabuntur, sic est forma facienda, ita uti quam magnum est intervallum striae, tam magnis [striaturae] paribus lateribus quadratum describatur; in medio autem |
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2316 quadrato circini centrum conlocetur et agatur linea rotundationis, quae quadrationis angulos tangat, et quantum |
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2317 erit curvaturae inter rotundationem et quadratam descriptionem, tantum ad formam excaventur. </s><s>ita dorica columna sui generis striaturae habebit perfectionem. |
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2318 </s></p></subchap2> |
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2319 <subchap2><p type="main"><s> |
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2320 De adiectione eius, qua media adaugetur, uti in tertio volumine de ionicis est perscripta, ita et in his transferatur. |
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2321 </s> |
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2322 </p><p type="main"><s> |
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2323 Quoniam exterior species symmetriarum et corinthiorum et doricorum et ionicorum est perscripta, necesse |
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2324 est etiam interiores cellarum pronaique distributiones explicare. |
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2325 </s></p></subchap2> |
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2326 </subchap1> |
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2327 <subchap1> |
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2328 <subchap2><p type="main"><s> |
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2329 Distribuitur autem longitudo aedis, uti latitudo |
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2330 sit longitudinis dimidiae partis, ipsaque cella parte quarta |
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2331 longior sit, quam est latitudo, cum pariete, qui paries |
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2332 valvarum habuerit conlocationem. </s><s>reliquae tres partes |
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2333 pronai ad antas parietum procurrant, quae antae columnarum crassitudinem habere debent. </s><s>et si aedes erit latitudine maior quam pedes <emph type="smallcaps"/>XX<emph.end/>, duae columnae inter duas antas |
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2334 interponantur, quae disiungant pteromatos et pronai |
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2335 spatium. </s><s>item intercolumnia tria, quae erunt inter antas |
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2336 et columnas, pluteis marmoreis sive ex intestino opere |
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2337 factis intercludantur, ita uti fores habeant, per quas itinera pronao fiant. |
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2338 </s></p></subchap2> |
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2339 <subchap2><p type="main"><s> |
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2340 Item si maior erit latitudo quam |
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2341 pedes <emph type="smallcaps"/>XL<emph.end/>, columnae contra regiones columnarum, quae |
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2342 inter antas sunt, introrsus conlocentur. </s><s>et hae altitudinem |
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2343 habeant aeque quam quae sunt in fronte, crassitudines |
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2344 autem earum extenuentur his rationibus, uti, si octava |
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2345 parte erunt quae sunt in fronte, hae fiant <emph type="smallcaps"/>X<emph.end/> parte, sin |
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2346 autem <emph type="smallcaps"/>VIIII<emph.end/> aut decima, pro rata parte. </s><s>in concluso enim |
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2347 aere si quae extenuatae erunt, non discernentur. </s><s>sin autem |
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2348 videbuntur graciliores, cum exterioribus fuerint striae |
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2349 <<emph type="smallcaps"/>XX<emph.end/> aut> <emph type="smallcaps"/>XXIIII<emph.end/>, in his faciendae erunt <emph type="smallcaps"/>XXVIII<emph.end/> aut <emph type="smallcaps"/>XXXII<emph.end/>. |
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2350 ita quod detrahitur de corpore scapi, striarum numero |
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2351 adiecto adaugebitur ratione, quo minus videatur, et ita exaequabitur dispari ratione columnarum crassitudo. |
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2352 </s></p></subchap2> |
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2353 <subchap2><p type="main"><s> |
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2354 Hoc autem efficit ea ratio, quod oculus plura et crebriora signa |
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2355 tangendo maiore visus circumitione pervagatur. </s><s>namque |
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2356 si duae columnae aeque crassae lineis circummetientur, |
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2357 e quibus una sit non striata, altera striata, et circa striglium cava et angulos striarum linea corpora tangat, tametsi columnae aeque crassae fuerint, lineae, quae circumdatae erunt, <non erunt> aequales, quod striarum et striglium circuitus maiorem efficit lineae longitudinem. </s><s>sin |
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2358 autem hoc ita videbitur, non est alienum in angustis locis |
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2359 et in concluso spatio graciliores columnarum symmetrias |
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2360 in opere constituere, cum habeamus adiutricem striarum temperaturam. |
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2361 </s></p></subchap2> |
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2362 <subchap2><p type="main"><s> |
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2363 Ipsius autem cellae parietum crassitudinem pro rata parte magnitudinis fieri oportet, dum |
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2364 antae eorum crassitudinibus columnarum sint aequales. </s><s>et si ex structis futuri sunt, quam minutissimis caementis |
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2365 struantur, sin autem quadrato saxo aut marmore, maxime |
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2366 modicis paribusque videtur esse faciundum, quod media |
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2367 coagmenta medii lapides continentes firmiorem facient |
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2368 omnis operis perfectionem. </s><s>item circum coagmenta et |
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2369 cubilia eminentes expressiones graphicoteran efficient in |
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2370 aspectu delectationem. |
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2371 </s></p></subchap2> |
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2372 </subchap1> |
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2373 <subchap1> |
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2374 <subchap2><p type="main"><s> |
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2375 Regiones autem, quas debent spectare aedes sacrae |
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2376 deorum inmortalium, sic erunt constituendae, uti, si |
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2377 nulla ratio inpedierit liberaque fuerit potestas, aedis signumque, quod erit in cella conlocatum, spectet ad vespertinam caeli regionem, uti, qui adierint ad aram immolantes aut sacrificia facientes, spectent ad partem caeli |
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2378 orientis et simulacrum, quod erit in aede, et ita vota |
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2379 suscipientes contueantur aedem et orientem caelum ipsaque simulacra videantur exaudientia contueri supplicantes |
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2380 et sacrificantes, quod aras omnes deorum necesse esse videatur ad orientem spectare. |
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2381 </s></p></subchap2> |
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2382 <subchap2><p type="main"><s> |
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2383 Sin autem loci natura interpellaverit, tunc convertendae sunt earum regionum constitutiones, uti quam plurima pars moenium e templis |
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2384 earum conspiciatur. </s><s>item si secundum flumina aedis sacra fiet, ita uti Aegypto circa Nilum, ad fluminis ripas videntur spectare debere. </s><s>similiter si circum vias publicas erunt aedificia deorum, ita constituantur, uti praetereuntes possint respicere et in conspectu salutationes facere. |
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2385 </s></p></subchap2> |
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2386 </subchap1> |
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2387 <subchap1> |
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2388 <subchap2><p type="main"><s> |
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2389 Ostiorum autem et eorum antepagmentorum in aedibus |
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2390 hae sunt rationes, uti primum constituatur, quot genera |
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2391 sint [futurae]. genera sunt enim thyromaton haec: doricum, |
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2392 ionicum, atticurges. |
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2393 </s> |
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2394 </p><p type="main"><s> |
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2395 Horum <dorici generis> symmetriae conspiciuntur his |
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2396 rationibus, uti corona summa, quae supra antepagmentum |
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2397 superius inponitur, aeque librata sit capitulis summis columnarum, quae in pronao fuerint. </s><s>lumen autem thyretri |
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2398 constituatur sic, uti quae altitudo aedis a pavimento ad |
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2399 lacunaria fuerit, dividatur in partes tres semis et ex eis |
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2400 duae partes <semis> lumini valvarum altitudine constituantur. </s><s>haec autem dividatur in partes <emph type="smallcaps"/>XII<emph.end/> et ex eis |
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2401 quinque et dimidia latitudo luminis fiat in imo. </s><s>et in |
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2402 summo contrahatur, si erit lumen ab imo ad sedecim |
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2403 pedes, antepagmenti <emph type="smallcaps"/>III<emph.end/> parte; <si> <emph type="smallcaps"/>XVI<emph.end/> pedum ad <emph type="smallcaps"/>XXV<emph.end/>, |
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2404 superior pars luminis contrahatur antepagmenti parte <emph type="smallcaps"/>IIII<emph.end/>; |
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2405 si ab pedibus <emph type="smallcaps"/>XXV<emph.end/> ad <emph type="smallcaps"/>XXX<emph.end/>, summa pars contrahatur antepagmenti parte <emph type="smallcaps"/>VIII<emph.end/>. reliqua, quo altiora erunt, ad perpendiculum videntur oportere conlocari. |
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2406 </s></p></subchap2> |
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2407 <subchap2><p type="main"><s> |
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2408 Ipsa autem antepagmenta <gap/> contrahantur in summo suae crassitudinis <emph type="smallcaps"/>XIIII<emph.end/> parte. </s><s>supercilii crassitudo, quanta antepagmentorum in summa parte erit crassitudo. </s><s>cymatium |
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2409 faciundum est antepagmenti parte sexta; proiectura autem, |
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2410 quanta est eius crassitudo. </s><s>sculpendum est cymatium |
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2411 lesbium cum astragalo. </s><s>supra cymatium, quod erit in |
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2412 supercilio, conlocandum est hyperthyrum crassitudine |
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2413 supercilii, et in eo scalpendum est cymatium doricum, |
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2414 astragalum lesbium sima scalptura. </s><s>corona plana cum cymatio; proiectura autem eius erit quanta altitudo. </s><s>supercilii, quod supra antepagmenta inponitur, dextra atque |
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2415 sinistra proiecturae sic sunt faciundae, uti crepidines excurrant et in unguem ipso cymatio coniungantur. |
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2416 </s></p></subchap2> |
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2417 <subchap2><p type="main"><s> |
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2418 Sin autem ionico genere futura erunt, lumen altum ad |
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2419 eundem modum quemadmodum in doricis fieri videtur. </s><s>latitudo constituatur, ut altitudo dividatur in partes duas |
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2420 et dimidiam, eiusque partis unius ima luminis fiat latitudo. </s><s>contracturae ita uti in doricis. </s><s>crassitudo antepagmentorum <ex> altitudine luminis in fronte <emph type="smallcaps"/>XIIII<emph.end/> parte, cymatium huius crassitudinis sexta. </s><s>reliqua pars praeter cymatium dividatur in partes <emph type="smallcaps"/>XII<emph.end/>. harum trium prima corsa |
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2421 fiat cum astragalo, secunda quattuor, tertia quinque, et eae aeque corsae cum astragalis circumcurrant. |
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2422 </s></p></subchap2> |
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2423 <subchap2><p type="main"><s> |
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2424 Hyperthyra autem ad eundem modum componantur quemadmodum in doricis. </s><s>pro crepidinibus ancones, sive parotides vocantur, excalptae dextra ac sinistra praependeant ad imi supercilii libramentum, praeter folium. </s><s>eae habeant |
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2425 in fronte crassitudinem ex antepagmenti tribus partibus, |
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2426 imo quarta parte graciliore quam superiora. |
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2427 </s> |
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2428 </p><p type="main"><s> |
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2429 Fores ita compingantur, uti scapi cardinales sint ex |
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2430 latitudine luminis totius <emph type="smallcaps"/>XII<emph.end/> parte. </s><s>inter duos scapos tympana ex <emph type="smallcaps"/>XII<emph.end/> partibus habeant ternas partes. |
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2431 </s></p></subchap2> |
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2432 <subchap2><p type="main"><s> |
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2433 Inpagibus distributiones ita fient, uti divisis altitudinibus in partes <emph type="smallcaps"/>V<emph.end/> |
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2434 duae superiori, tres inferiori designentur. </s><s>super medium |
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2435 medii inpages conlocentur, ex reliquis alii in summo, alii |
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2436 in imo compingantur. </s><s>altitudo inpagis fiat tympani tertia |
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2437 parte, cymatium sexta parte inpagis. </s><s>scaporum latitudines |
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2438 inpagis dimidia parte, item replum de inpage dimidia et |
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2439 sexta parte. </s><s>scapi, qui sunt secundum antepagmentum, dimidium inpagis constituantur. </s><s>sin autem valvatae erunt, |
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2440 altitudines ita manebunt, in latitudinem adiciatur amplius |
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2441 foris latitudo. </s><s>si quadriforis futura est, altitudo adiciatur. |
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2442 </s></p></subchap2> |
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2443 <subchap2><p type="main"><s> |
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2444 Atticurge autem isdem rationibus perficiuntur, quibus |
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2445 dorica. </s><s>praeterea corsae sub cymatiis in antepagmentis |
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2446 circumdantur, quae ita distribui debent, uti antepagmenti |
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2447 praeter cymatium ex partibus <emph type="smallcaps"/>VII<emph.end/> habeant duas partes. </s><s>ipsaque non fiunt clathrata neque bifora sed valvata, et |
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2448 aperturas habent in exteriores partes. |
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2449 </s> |
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2450 </p><p type="main"><s> |
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2451 Quas rationes aedium sacrarum in formationibus oporteat fieri <doricis>, ionicis corinthiisque operibus, quoad |
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2452 potui attingere, veluti legitimis moribus exposui. </s><s>nunc |
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2453 de tuscanicis dispositionibus, quemadmodum institui oporteat, dicam. |
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2454 </s></p></subchap2> |
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2455 </subchap1> |
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2456 <subchap1> |
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2457 <subchap2><p type="main"><s> |
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2458 Locus, in quo aedis constituetur, cum habuerit in longitudine sex partes, una dempta reliquum quod |
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2459 erit, latitudini detur. </s><s>longitudo autem dividatur bipertito, |
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2460 et quae pars erit interior, cellarum spatiis designetur, quae |
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2461 erit proxima fronti, columnarum dispositioni relinquatur. </s><s>item latitudo dividatur in partes <emph type="smallcaps"/>X<emph.end/>. |
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2462 </s></p></subchap2> |
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2463 <subchap2><p type="main"><s> |
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2464 Ex his ternae partes dextra ac sinistra cellis minoribus, sive ibi alae futurae |
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2465 sunt, dentur; reliquae quattuor mediae aedi attribuantur. </s><s>spatium, quod erit ante cellas in pronao, ita columnis |
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2466 designetur, ut angulares contra antas, parietum extremorum <e> regione, conlocentur; duae mediae e regione |
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2467 parietum, qui inter antas et mediam aedem fuerint, ita |
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2468 distribuantur; et inter antas et columnas priores per medium isdem regionibus alterae disponantur. </s><s>eaeque sint |
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2469 ima crassitudine altitudinis parte <emph type="smallcaps"/>VII<emph.end/>; altitudo tertia parte |
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2470 latitudinis templi; summaque columna quarta parte crassitudinis imae contrahatur. |
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2471 </s></p></subchap2> |
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2472 <subchap2><p type="main"><s> |
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2473 Spirae earum altae dimidia parte crassitudinis fiant. </s><s>habeant spirae earum plinthum |
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2474 ad circinum, altam suae crassitudinis dimidia parte, torum |
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2475 insuper cum apophysi crassum quantum plinthus. </s><s>capituli altitudo dimidia crassitudinis. </s><s>abaci latitudo quanta |
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2476 ima crassitudo columnae. </s><s>capitulique crassitudo dividatur |
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2477 in partes tres, e quibus una plintho, quae est abacus, detur, altera echino, tertia hypotrachelio cum apophysi. |
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2478 </s></p></subchap2> |
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2479 <subchap2><p type="main"><s> |
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2480 Supra columnas trabes compactiles inponantur ut altitudinis modulis îs, qui a magnitudine operis postulabuntur. </s><s>eaeque trabes compactiles eam habeant crassitudinem, |
|
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2481 quanta summae columnae erit hypotrachelium, et ita sint |
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2482 compactae subscudibus et securiclis, ut compactura duorum digitorum habeant laxationem. </s><s>cum enim inter se |
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2483 tangunt et non spiramentum et perflatum venti recipiunt, concalefaciuntur et celeriter putrescunt. |
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2484 </s></p></subchap2> |
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2485 <subchap2><p type="main"><s> |
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2486 Supra trabes et supra parietes traiecturae mutulorum parte <emph type="smallcaps"/>IIII<emph.end/> altitudinis |
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2487 columnae proiciantur; item in eorum frontibus antepagmenta figantur. </s><s>supraque îs tympanum fastigii structura seu de materia conlocetur. </s><s>supraque eûm fastigium, columen, cantherii, templa ita sunt conlocanda, ut |
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2488 stillicidium tecti absoluti tertiario respondeat. |
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2489 </s></p></subchap2> |
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2490 </subchap1> |
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2491 <subchap1> |
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2492 <subchap2><p type="main"><s> |
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2493 Fiunt autem aedes rotundae, e quibus aliae monopteroe sine cella columnatae constituuntur, aliae peripteroe |
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2494 dicuntur. </s><s>quae sine cella fiunt, tribunal habent et ascensum ex sua diametro tertiae partis. </s><s>insuper stylobatam |
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2495 columnae constituuntur tam altae, quanta ab extremis |
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2496 parietibus est diametros stylobatarum, crassae altitudinis |
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2497 suae cum capitulis et spiris decumae partis. </s><s>epistylium |
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2498 altum columnae crassitudinis dimidia parte. </s><s>zophorum et |
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2499 reliqua, quae insuper inponuntur, ita uti in <emph type="smallcaps"/>III<emph.end/> volumine |
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2500 de symmetriis scripsi. |
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2501 </s></p></subchap2> |
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2502 <subchap2><p type="main"><s> |
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2503 Sin autem peripteros ea aedes constituetur, duo gradus et stylobata ab imo constituantur. </s><s>deinde cellae paries conlocetur cum recessu eius a stylobata circa partem |
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2504 latitudinis quintam, medioque valvarum locus ad aditus |
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2505 relinquatur; eaque cella tantam habeat diametrum praeter |
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2506 parietes et circumitionem, quantam altitudinem columna. </s><s>supra stylobatam columnae circum cellam isdem symmetriis, quae <supra scriptae sunt,> disponantur. |
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2507 </s></p></subchap2> |
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2508 <subchap2><p type="main"><s> |
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2509 In medio tecti ratio ita habeatur, uti, quanta diametros totius operis erit futura, dimidia altitudo fiat tholi praeter florem; flos autem tantam habeat magnitudinem, quantam habuerit columnae capitulum, praeter pyramidem. </s><s>reliqua, uti supra |
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2510 scripta sunt ea, pro portionibus atque symmetriis facienda |
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2511 videntur. |
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2512 </s></p></subchap2> |
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2513 <subchap2><p type="main"><s> |
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2514 Item generibus aliis constituuntur aedes ex isdem symmetriis ordinatae et alio genere dispositiones habentes, |
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2515 uti est Castoris in circo Flaminio et inter duos lucos |
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2516 Veiovis, item augustius Nemori Dianae columnis adiectis |
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2517 dextra ac sinistra ad umeros pronai. </s><s>hoc autem genere |
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2518 primo facta est, uti est Castoris in circo, Athenis in arce |
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2519 et in Attica Sunio Palladis Minervae. </s><s>earum non aliae |
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2520 sed eaedem sunt proportiones. </s><s>cellae enim longitudinibus |
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2521 duplices sunt ad latitudines uti reliquae; ex îs omnia, quae solent esse in frontibus, ad latera sunt translata. |
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2522 </s></p></subchap2> |
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2523 <subchap2><p type="main"><s> |
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2524 Nonnulli etiam de tuscanicis generibus sumentes columnarum dispositiones transferunt in corinthiorum et ionicorum operum ordinationes, et quibus in locis in pronao procurrunt |
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2525 antae, in isdem e regione cellae parietum columnas binas |
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2526 conlocantes efficiunt tuscanicorum et graecorum operum communem ratiocinationem. |
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2527 </s></p></subchap2> |
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2528 <subchap2><p type="main"><s> |
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2529 Alii vero removentes parietes aedis et adplicantes ad intercolumnia, pteromatos spatiis |
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2530 sublati efficiunt amplum laxamentum cellae; reliqua autem |
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2531 proportionibus et symmetriis isdem conservantes aliud |
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2532 genus figurae nominisque videntur pseudoperipterum procreavisse. </s><s>haec autem genera propter usum sacrificiorum |
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2533 convertuntur. </s><s>non enim omnibus diis isdem rationibus |
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2534 aedes sunt faciundae, quod alius alia varietate sacrorum |
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2535 religionum habet effectus. |
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2536 </s></p></subchap2> |
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2537 <subchap2><p type="main"><s> |
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2538 Omnes aedium sacrarum ratiocinationes, uti mihi traditae sunt, exposui ordinesque et symmetrias earum partitionibus distinxi, et quarum dispares sunt figurae et quibus discriminibus inter se sunt disparatae, quoad potui |
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2539 significare scriptis, exposui. </s><s>nunc de aris deorum inmortalium, uti aptam constitutionem habeant ad sacrificiorum rationem, dicam. |
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2540 </s></p></subchap2> |
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2541 </subchap1> |
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2542 <subchap1> |
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2543 <subchap2><p type="main"><s> |
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2544 Arae spectent ad orientem et semper inferiores sint conlocatae quam simulacra, quae fuerint |
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2545 in aede, uti suspicientes divinitatem, qui supplicant, et |
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2546 sacrificent. </s><s>disparibus altitudinibus ad sui cuiusque dei |
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2547 decorem componantur. </s><s>altitudines autem earum sic sunt |
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2548 explicandae, uti Iovi omnibusque caelestibus quam excelsissimae constituantur, Vestae Terrae Matrique humiles |
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2549 conlocentur. </s><s>ita idoneae his institutionibus explicabuntur |
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2550 modulationibus ararum deformationes. |
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2551 </s> |
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2552 </p><p type="main"><s> |
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2553 Explicatis aedium sacrarum compositionibus in hoc libro, insequenti de communium operum reddemus distributionibus explicationes. |
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2554 </s></p></subchap2> |
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2555 </subchap1> |
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2556 </chap> |
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2557 <chap> |
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2558 <!-- 5,t,1,1 --> |
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2559 <p type="head"><s>LIBER QUINTUS</s></p> |
|
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2560 <subchap1> |
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2561 <subchap2><p type="main"><s> |
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2562 Qui amplioribus voluminibus, imperator, ingenii cogitationes praeceptaque explicaverunt, maximas et egregias |
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2563 adiecerunt suis scriptis auctoritates. </s><s>quod etiam velim |
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2564 nostris quoque studiis res pateretur, ut amplificationibus |
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2565 auctoritas et in his praeceptis augeretur; sed id non est, |
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2566 quemadmodum putatur, expeditum. </s><s>non enim de architectura sic scribitur uti historia aut poemata. </s><s>historiae |
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2567 per se tenent lectores; habent enim novarum rerum varias expectationes. </s><s>poematorum vero [carminum] metra |
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2568 et pedes ac verborum elegans dispositio et sententiarum |
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2569 inter personas distinctas [versuum] pronuntiatio prolectando sensus legentium perducit sine offensa ad summam scriptorum terminationem. |
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|
2570 </s></p></subchap2> |
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|
2571 <subchap2><p type="main"><s> |
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|
2572 Id autem in architecturae conscriptionibus non potest fieri, quod vocabula ex artis propria necessitate concepta inconsueto sermone obiciunt sensibus obscuritatem. </s><s>cum ergo ea per se non sint aperta nec pateant eorum in consuetudine nomina, tum etiam |
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|
2573 praeceptorum late vagantes scripturae, si non contrahentur, ut paucis et perlucidis sententiis explicentur, frequentia multitudineque sermonis inpediente incertas legentium |
|
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|
2574 efficient cogitationes. </s><s>itaque occultas nominationes commensusque e membris operum pronuntians, ut memoriae |
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2575 tradantur, breviter exponam; sic enim expeditius ea recipere poterunt mentes. |
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|
2576 </s></p></subchap2> |
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|
2577 <subchap2><p type="main"><s> |
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2578 Non minus cum animadvertissem distentam occupationibus civitatem publicis et privatis |
|
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|
2579 negotiis, paucis iudicavi scribendum, uti angusto spatio |
|
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|
2580 vacuitatis ea legentes breviter percipere possent. |
|
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|
2581 </s> |
|
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2582 </p><p type="main"><s> |
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2583 Etiamque Pythagorae quique eius haeresim fuerunt secuti, placuit cybicis rationibus praecepta in voluminibus |
|
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2584 scribere, constitueruntque cybum <emph type="smallcaps"/>CCXVI<emph.end/> versus eosque non |
|
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|
2585 plus tres in una conscriptione oportere esse putaverunt. |
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|
2586 </s></p></subchap2> |
|
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|
2587 <subchap2><p type="main"><s> |
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|
2588 Cybus autem est corpus ex lateribus aequali latitudine |
|
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|
2589 planitiarum perquadratum. </s><s>is cum est iactus, quam in |
|
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|
2590 partem incubuit, dum est intactus, inmotam habet stabilitatem, uti sunt etiam tesserae, quas in alveo ludentes |
|
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|
2591 iaciunt. </s><s>hanc autem similitudinem ex eo sumpsisse videntur, quod is numerus versuum, uti cybus, in quemcumque |
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2592 sensum insederit, inmotam efficiat ibi memoriae stabilitatem. </s><s>graeci quoque poetae comici interponentes e choro canticum diviserunt spatia fabularum. </s><s>ita partes cybica ratione facientes intercapedinibus levant actorum |
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2593 pronuntiationes. |
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2594 </s></p></subchap2> |
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2595 <subchap2><p type="main"><s> |
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2596 Cum ergo haec naturali modo sint a maioribus observata animoque advertam inusitatas et obscuras multis res |
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2597 esse mihi scribendas, quo facilius ad sensus legentium pervenire possint, brevibus voluminibus iudicavi scribere; ita |
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2598 enim expedita erunt ad intellegendum. </s><s>eorumque ordinationes institui, uti non sint quaerentibus separatim colligenda, sed e corpore uno et in singulis voluminibus generum haberent explicationes. </s><s>itaque, Caesar, tertio et |
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2599 quarto volumine aedium sacrarum rationes exposui, hoc |
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2600 libro publicorum locorum expediam dispositiones. </s><s>primumque forum uti oporteat constitui, dicam, quod in eo et publicarum et privatarum rerum rationes per magistratus |
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2601 gubernantur. |
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2602 </s></p></subchap2> |
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2603 </subchap1> |
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2604 <subchap1> |
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2605 <subchap2><p type="main"><s> |
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2606 Graeci in quadrato amplissimis et duplicibus porticibus |
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2607 fora constituunt crebrisque columnis et lapideis aut marmoreis epistyliis adornant et supra ambulationes in contignationibus faciunt. </s><s>Italiae vero urbibus non eadem est |
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2608 ratione faciendum, ideo quod a maioribus consuetudo tradita est gladiatoria munera in foro dari. |
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2609 </s></p></subchap2> |
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2610 <subchap2><p type="main"><s> |
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2611 Igitur circum spectacula spatiosiora intercolumnia distribuantur circaque in porticibus argentariae tabernae maenianaque superioribus coaxationibus conlocentur, quae et ad usum |
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2612 et ad vectigalia publica recte erunt disposita. |
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2613 </s> |
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2614 </p><p type="main"><s> |
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2615 Magnitudines autem ad copiam hominum oportet fieri, |
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2616 ne parvum spatium sit ad usum aut ne propter inopiam |
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2617 populi vastum forum videatur. </s><s>latitudo autem ita finiatur, |
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2618 uti, longitudo in tres partes cum divisa fuerit, ex his duae |
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2619 partes ei dentur; ita enim erit oblonga eius formatio et ad spectaculorum rationem utilis dispositio. |
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2620 </s></p></subchap2> |
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2621 <subchap2><p type="main"><s> |
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2622 Columnae superiores quarta parte minores quam inferiores sunt constituendae, propterea quod oneri ferendo, quae sunt inferiora, firmiora debent esse quam superiora. </s><s>non minus quod etiam nascentium oportet imitari naturam, ut in arboribus teretibus, abiete, cupresso, pinu, e quibus nulla non crassior est ab radicibus, dein decrescendo progreditur in altitudinem naturali contractura peraequata nascens ad cacumen. </s><s>ergo si natura nascentium ita postulat, recte est constitutum et altitudinibus et crassitudinibus superiora inferiorum fieri contractiora. |
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2623 </s></p></subchap2> |
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2624 <subchap2><p type="main"><s> |
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2625 Basilicarum loca adiuncta foris quam calidissimis partibus oportet constitui, ut per hiemem sine molestia tempestatium se conferre in eas negotiatores possint. </s><s>earumque latitudines ne minus quam ex tertia, ne plus ex |
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2626 dimidia longitudinis constituantur, nisi si loci natura inpedierit et aliter coegerit symmetriam commutari. </s><s>sin |
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2627 autem locus erit amplior in longitudine, chalcidica in extremis constituantur, uti sunt in Iulia Aquiliana. |
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2628 </s></p></subchap2> |
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2629 <subchap2><p type="main"><s> |
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2630 Columnae basilicarum tam altae, quam porticus latae fuerint, faciendae videntur; porticus, quam medium spatium futurum est, ex tertia finiatur. </s><s>columnae superiores minores quam inferiores, uti supra scriptum est, constituantur. </s><s>pluteum, quod fuerit inter superiores et inferiores columnas, |
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2631 lumnas, item quarta parte minus, quam superiores columnae fuerint, oportere fieri videtur, uti supra basilicae contignationem ambulantes ab negotiatoribus ne conspiciantur. </s><s>epistylia, zophora, coronae ex symmetriis columnarum, uti in tertio libro diximus, explicentur. |
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2632 </s></p></subchap2> |
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2633 <subchap2><p type="main"><s> |
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2634 [Non minus summam dignitatem et venustatem possunt |
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2635 habere comparationes basilicarum, quo genere Coloniae |
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2636 Iuliae Fanestri conlocavi curavique faciendam, cuius proportiones et symmetriae sic sunt constitutae. </s><s>mediana |
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2637 testudo inter columnas est longa pedes <emph type="smallcaps"/>CXX<emph.end/>, lata pedes |
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2638 <emph type="smallcaps"/>LX<emph.end/>. porticus eius circa testudinem inter parietes et columnas lata pedes <emph type="smallcaps"/>XX<emph.end/>. columnae altitudinibus perpetuis |
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2639 cum capitulis pedes <emph type="smallcaps"/>L<emph.end/>, crassitudinibus quinûm, habentes |
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2640 post se parastaticas altas pedes <emph type="smallcaps"/>XX<emph.end/>, latas pedes <emph type="smallcaps"/>II S<emph.end/>, crassas <emph type="smallcaps"/>I S<emph.end/>, quae sustinent trabes, in quibus invehuntur porticuum contignationes. </s><s>supraque eas aliae parastaticae pedum <emph type="smallcaps"/>XVIII<emph.end/>, latae binûm, crassae pedem, quae excipiunt item |
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2641 trabes sustinentes cantherium et porticûm, quae sunt summissa infra testudinem, tecta. |
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2642 </s></p></subchap2> |
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2643 <subchap2><p type="main"><s> |
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2644 Reliqua spatia inter parastaticarum et columnarum trabes per intercolumnia luminibus sunt relicta. </s><s>columnae sunt in latitudine testudinis cum angularibus dextra ac sinistra quaternae, in |
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2645 longitudine, quae est foro proxima, cum isdem angularibus |
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2646 octo, ex altera parte cum angularibus <emph type="smallcaps"/>VI<emph.end/>, ideo quod mediae duae in ea parte non sunt positae, ne inpediant aspectus pronai aedis Augusti, quae est in medio latere |
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2647 parietis basilicae conlocata spectans medium forum et aedem Iovis. |
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2648 </s></p></subchap2> |
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2649 <subchap2><p type="main"><s> |
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2650 Item tribunal, quod est in ea aede, hemicycli |
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2651 schematis minoris curvatura formatum; eius autem hemicycli in fronte est intervallum pedes <emph type="smallcaps"/>XLVI<emph.end/>, introrsus curvatura pedes <emph type="smallcaps"/>XV<emph.end/>, uti, qui apud magistratus starent, negotiantes in basilica ne inpedirent. </s><s>supra columnas ex tribus |
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2652 tignis bipedalibus compactis trabes sunt circa conlocatae, |
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2653 eaeque ab tertiis columnis, quae sunt in interiore parte, |
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2654 revertuntur ad antas, quae a pronao procurrunt, dextraque et sinistra hemicyclium tangunt. |
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2655 </s></p></subchap2> |
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2656 <subchap2><p type="main"><s> |
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2657 Supra trabes contra capitula ex fulmentis dispositae pilae sunt conlocatae, |
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2658 altae pedes <emph type="smallcaps"/>III<emph.end/>, latae quoqueversus quaternis. </s><s>supra eas |
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2659 ex duobus tignis bipedalibus trabes everganeae circa sunt |
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2660 conlocatae. </s><s>quibus insuper transtra cum capreolis columnarum contra corpora et antas et parietes pronai conlocata sustinent unum culmen perpetuae basilicae, alterum |
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2661 a medio supra pronaum aedis. </s><s>ita fastigiorum duplex pectinata dispositio extrinsecus tecti et interioris altae testudinis praestat speciem venustam. </s><s>item sublata epistyliorum ornamenta et pluteorum columnarumque superiorum |
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2662 distributio operosam detrahit molestiam sumptusque inminuit ex magna parte summam. </s><s>ipsae vero columnae in |
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2663 altitudine perpetua sub trabes testudinis perductae et |
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2664 magnificentiam inpensae et auctoritatem operi adaugere |
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2665 videntur.] |
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2666 </s></p></subchap2> |
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2667 </subchap1> |
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2668 <subchap1> |
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2669 <subchap2><p type="main"><s> |
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2670 Aerarium, carcer, curia foro sunt coniungenda, sed ita |
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2671 uti magnitudo <ac> symmetriae eorum foro respondeant. </s><s>maxime quidem curia in primis est facienda ad dignitatem municipii sive civitatis. </s><s>et si quadrata erit, quantum habuerit latitudinis dimidia addita constituatur altitudo; sin autem oblonga fuerit, longitudo et latitudo |
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2672 componatur, et summae compositae eius dimidia pars sub lacunariis altitudini detur. |
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2673 </s></p></subchap2> |
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2674 <subchap2><p type="main"><s> |
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2675 Praeterea praecingendi sunt parietes medii coronis ex intestino opere aut albario |
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2676 ad dimidiam partem altitudinis. </s><s>quae si non erunt, vox |
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2677 ibi disputantium elata in altitudinem intellectui non poterit esse audientibus. </s><s>cum autem coronis praecincti parietes erunt, vox ab imis morata, priusquam in aera elata |
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2678 dissipabitur, auribus erit intellecta. |
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2679 </s></p></subchap2> |
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2680 </subchap1> |
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2681 <subchap1> |
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2682 <subchap2><p type="main"><s> |
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2683 Cum forum constitutum fuerit, tum deorum inmortalium |
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2684 diebus festis ludorum spectationibus eligendus est locus |
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2685 theatro quam saluberrimus, uti in primo libro de salubritatibus in moenium conlocationibus est scriptum. </s><s>per |
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2686 ludos enim cum coniugibus et liberis persedentes delectationibus detinentur et corpora propter voluptatem inmota |
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2687 patentes habent venas, in quas insidunt aurarum flatus, |
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2688 qui, si a regionibus palustribus aut aliis regionibus vitiosis |
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2689 advenient, nocentes spiritus corporibus infundent. </s><s>itaque si curiosius eligetur locus theatro, vitabuntur vitia. |
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2690 </s></p></subchap2> |
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2691 <subchap2><p type="main"><s> |
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2692 Etiamque providendum est, ne impetus habeat a meridie. </s><s>sol |
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2693 enim cum implet eius rotunditatem, aer conclusus curvatura neque habens potestatem vagandi versando confervescit et candens adurit excoquitque et inminuit e corporibus umores. </s><s>ideo maxime vitandae sunt his rebus vitiosae regiones et eligendae salubres. |
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2694 </s></p></subchap2> |
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2695 <subchap2><p type="main"><s> |
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2696 Fundamentorum autem, si in montibus fuerint, facilior erit ratio; sed si necessitas |
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2697 coegerit in plano aut palustri loco ea constitui, solidationes substructionesque ita erunt faciendae, quemadmodum de fundationibus aedium sacrarum in tertio libro est scriptum. </s><s>insuper fundamenta lapideis et marmoreis copiis gradationes ab substructione fieri debent. |
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2698 </s></p></subchap2> |
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2699 <subchap2><p type="main"><s> |
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2700 Praecinctiones ad altitudines theatrorum pro rata parte faciendae videntur, neque altiores quam quanta praecinctionis itineris sit latitudo. </s><s>si enim excelsiores fuerint, repellent et eicient e superiore parte vocem nec patientur in sedibus suis, quae <sunt> supra praecinctiones, verborum casus certa significatione ad aures pervenire. </s><s>et ad summam ita est gubernandum, uti, linea cum ad imum gradum et ad summum extenta fuerit, omnia cacumina graduum angulosque tangat: ita vox non inpedietur. |
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2701 </s></p></subchap2> |
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2702 <subchap2><p type="main"><s> |
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2703 Aditus complures et spatiosos oportet disponere, nec coniunctos |
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2704 superiores inferioribus, sed ex omnibus locis perpetuos et |
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2705 directos sine inversuris faciendos, uti, cum populus dimittatur de spectaculis, ne comprimatur, sed habeat ex omnibus locis exitus separatos sine inpeditione. |
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2706 </s> |
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2707 </p><p type="main"><s> |
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2708 Etiam diligenter est animadvertendum, ne sit locus |
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2709 surdus, sed ut in eo vox quam clarissime vagari possit. </s><s>hoc vero fieri ita poterit, si locus electus fuerit, ubi non inpediatur resonantia. |
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2710 </s></p></subchap2> |
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2711 <subchap2><p type="main"><s> |
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2712 Vox autem est spiritus fluens aeris, e tactu sensibilis auditu. </s><s>ea movetur circulorum rotundationibus infinitis, uti si in stantem aquam lapide inmisso nascantur innumerabiles undarum circuli crescentes a centro, quam latissime possint, et vagantes, nisi angustia loci interpellaverit aut aliqua offensio, quae non patitur designationes earum undarum ad exitus pervenire. </s><s>itaque cum interpellentur offensionibus, primae redundantes insequentium disturbant designationes. |
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2713 </s></p></subchap2> |
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2714 <subchap2><p type="main"><s> |
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2715 Eadem ratione vox item ad circinum efficit motiones; sed in aqua circuli planitiae in latitudine moventur, vox et in latitudine progreditur et altitudinem gradatim scandit. </s><s>igitur ut in aqua undarum designationibus, item in voce cum offensio nulla primam undam interpellaverit, non disturbat secundam nec insequentes, sed omnes sine resonantia perveniunt ad imorum et ad summorum aures. |
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2716 </s></p></subchap2> |
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2717 <subchap2><p type="main"><s> |
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2718 Ergo veteres architecti naturae vestigia persecuti indagationibus |
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2719 vocis scandentis theatrorum perfecerunt gradationes, et |
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2720 quaesierunt per canonicam mathematicorum et musicam |
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2721 rationem, ut, quaecumque vox esset in scaena, clarior et |
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2722 suavior ad spectatorum perveniret aures. </s><s>uti enim organa aeneis lamminis aut corneis <foreign lang="greek">h)xei=a</foreign> ad chordarum |
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2723 sonitûm claritatem perficiuntur, sic theatrorum per harmonicen ad augendam vocem ratiocinationes ab antiquis |
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2724 sunt constitutae. |
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2725 </s></p></subchap2> |
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2726 </subchap1> |
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2727 <subchap1> |
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2728 <subchap2><p type="main"><s> |
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2729 Harmonice autem est musica litteratura obscura et |
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2730 difficilis, maxime quidem quibus graecae litterae non sunt |
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2731 notae. </s><s>quam si volumus explicare, necesse est etiam |
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2732 graecis verbis uti, quod nonnulla eorum latinas non |
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2733 habent appellationes. </s><s>itaque ut potuero quam apertissime |
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2734 ex Aristoxeni scripturis interpretabor et eius diagramma |
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2735 subscribam finitionesque sonituum designabo, uti, qui diligentius attenderit, facilius percipere possit. |
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2736 </s></p></subchap2> |
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2737 <subchap2><p type="main"><s> |
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2738 Vox enim mutationibus cum flectitur, alias fit acuta, alias gravis; |
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2739 duobusque modis movetur, e quibus unus effectus habet |
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2740 continuatos, alter distantes. </s><s>continuata vox neque in finitionibus consistit neque in loco ullo, efficitque terminationes non apparentes, intervalla autem media apparentia, |
|
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2741 uti sermone cum dicamus: sol lux flos vox. </s><s>nunc enim nec |
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2742 unde incipit nec ubi desinit, intellegitur, †sed quod ex |
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2743 acuta facta est gravis et ex gravi acuta, apparet auribus. </s><s>per distantiam autem e contrario. </s><s>namque cum flectitur inmutatione, vox statuit se in alicuius sonitus finitione, deinde in alterius, et id ultro citro crebre faciendo |
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2744 <non> constans apparet sensibus, uti in cantionibus cum |
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2745 flectentes vocem varietatem facimus. </s><s>modulationis itaque |
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2746 intervallis ea cum versatur, et unde initium fecit et ubi |
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2747 desiit, apparet in sonorum patentibus finitionibus, medianis |
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2748 autem patentia intervallis obscurantur. |
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2749 </s></p></subchap2> |
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2750 <subchap2><p type="main"><s> |
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2751 Genera vero sunt modulationum tria: primum quod |
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2752 Graeci nominant <foreign lang="greek">a(rmoni/hn</foreign>, secundum <foreign lang="greek">xrw=ma</foreign>, tertium <foreign lang="greek">dia/tonon</foreign>. est autem harmoniae modulatio ab arte concepta, |
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2753 et ea re cantio eius maxime gravem et egregiam habet |
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2754 auctoritatem. </s><s>chroma subtili sollertia ac crebritate modulorum suaviorem habet delectationem. </s><s>diatoni vero, quod |
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2755 naturalis est, facilior est intervallorum distantia. </s><s>in his |
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2756 tribus generibus dissimiles sunt tetrachordorum dispositiones, quod harmonia [tetrachordorum] et tonos et dihesis habet binas (dihesis autem est toni pars quarta; |
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2757 ita in hemitonio duae diheses sunt conlocatae); chromati |
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2758 duo hemitonia in ordine sunt composita, tertium trium |
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2759 hemitoniorum est intervallum; dia<tono> toni duo sunt |
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2760 continuati, tertium hemitonium finit tetrachordi magnitudinem. </s><s>ita in tribus generibus tetrachorda ex duobus |
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2761 tonis et hemitonio sunt peraequata, sed ipsa cum separatim uniuscuiusque generis finibus considerantur, dissimilem habent intervallorum designationem. |
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2762 </s></p></subchap2> |
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2763 <subchap2><p type="main"><s> |
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2764 Igitur intervalla tonorum et hemitoniorum et <diheseon> tetrachordorum |
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2765 in voce divisit natura finîtque terminationes eorum mensuris intervallorum quantitate, modisque certis distantibus |
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2766 constituit qualitates, quibus etiam artifices, qui organa fabricant, ex natura constitutis utendo comparant ad concentus convenientes eorum perfectiones. |
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2767 </s></p></subchap2> |
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2768 <subchap2><p type="main"><s> |
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2769 Sonitus, qui graece <foreign lang="greek">fqo/ggoi</foreign> dicuntur, in unoquoque |
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2770 genere sunt <emph type="smallcaps"/>X<emph.end/> et <emph type="smallcaps"/>VIII<emph.end/>, e quibus <emph type="smallcaps"/>VIII<emph.end/> sunt in tribus generibus perpetui et stantes, reliqui <emph type="smallcaps"/>X<emph.end/>, cum communiter modulantur, sunt vagantes. </s><s>stantes autem sunt, qui inter |
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2771 mobiles [sunt] interpositi continent tetrachordi coniunctionem et e generum discriminibus suis finibus sunt permanentes; appellantur autem sic: proslambanomenos, hypate hypaton, hypate meson, mese, nete synhemmenon, |
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2772 paramese, nete diezeugmenon, nete hyperbolaeon. </s><s>mobiles |
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2773 autem sunt, qui in tetrachordo inter inmotos dispositi in |
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2774 generibus ex locis loca mutant; vocabula autem habent |
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2775 haec: parhypate hypaton, lichanos hypaton, parhypate |
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2776 meson, lichanos meson, trite synhemmenon, <paranete |
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2777 synhemmenon,> trite diezeugmenon, paranete diezeugmenon, trite hyperbolaeon, paranete hyperbolaeon. |
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2778 </s></p></subchap2> |
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2779 <subchap2><p type="main"><s> |
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2780 Ei autem qua moventur, recipiunt virtutes alias; intervalla enim |
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2781 et distantias habent crescentes. </s><s>itaque parhypate, quae |
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2782 in harmonia distat ab hypate <dimidium> hemitonium, in |
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2783 chroma transmutata habet hemitonium. </s><s>quae lichanos in |
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2784 harmonia dicitur, ab hypate distat hemitonium, in chroma |
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2785 translata progreditur duo hemitonia, in diatono distat ab |
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2786 hypate tria hemitonia. </s><s>ita <emph type="smallcaps"/>X<emph.end/> sonitus propter translationes |
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2787 in generibus efficiunt triplicem modulationum varietatem. |
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2788 </s></p></subchap2> |
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2789 <subchap2><p type="main"><s> |
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2790 Tetrachorda autem sunt quinque: primum gravissimum, |
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2791 quod graece dicitur <foreign lang="greek">u(/paton</foreign>, secundum medianum, quod |
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2792 appellatur <foreign lang="greek">me/son</foreign>, tertium coniunctum, quod <foreign lang="greek">sunhmme/non</foreign> |
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2793 dicitur, quartum disiunctum, quod <foreign lang="greek">diezeugme/non</foreign> nominatur, quintum, quod est acutissimum, graece <foreign lang="greek">u(perbo/laion</foreign> |
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2794 dicitur. </s><s>concentus, quos natura hominis modulari potest, |
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2795 graece quae <foreign lang="greek">sumfwni/ai</foreign> dicuntur, sunt sex: diatessaron, |
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2796 diapente, diapason, et disdiatessaron, et disdiapente, et disdiapason. |
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2797 </s></p></subchap2> |
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2798 <subchap2><p type="main"><s> |
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2799 Ideoque et a numero nomina ceperunt, quod, |
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2800 cum vox constiterit in una sonorum finitione ab eaque se |
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2801 flectens mutaverit et pervenerit in quartam terminationem, |
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2802 appellatur diatessaron, in quintam diapente [in sextam |
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2803 diapason, in octavam et dimidiam diapason et diatessaron, |
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2804 in nonam et dimidiam diapason diapente, in <emph type="smallcaps"/>XII<emph.end/> disdiapason]. |
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2805 </s></p></subchap2> |
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2806 <subchap2><p type="main"><s> |
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2807 Non enim inter duo intervalla, cum chordarum |
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2808 sonitus aut vocis cantus factus fuerit, nec inter tria aut |
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2809 sex aut septem possunt consonantiae fieri, sed, uti supra |
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2810 scriptum est, diatessaron et diapente et ex ordine ad disdiapason convenientiae ex natura vocis congruentis habent finitiones. [et ei concentus procreantur ex coniunctione sonituum, qui graece <foreign lang="greek">fqo/ggoi</foreign> dicuntur.] |
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2811 </s></p></subchap2> |
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|
2812 </subchap1> |
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|
2813 <subchap1> |
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2814 <subchap2><p type="main"><s> |
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|
2815 Ita ex his indagationibus mathematicis rationibus fiant |
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2816 vasa aerea pro ratione magnitudinis theatri, eaque ita |
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2817 fabricentur, ut, cum tangantur, sonitum facere possint |
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2818 inter se diatessaron, diapente <et> ex ordine ad disdiapason. </s><s>postea inter sedes theatri constitutis cellis ratione |
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2819 musica ibi conlocentur ita, uti nullum parietem tangant |
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2820 circaque habeant locum vacuum et ab summo capite spatium, ponanturque inversa et habeant in parte, quae spectat ad scaenam, suppositos cuneos ne minus altos semipede; |
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2821 contraque eas cellas relinquantur aperturae inferiorum |
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2822 graduum cubilibus longae pedes duo, altae semipede. |
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2823 </s></p></subchap2> |
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2824 <subchap2><p type="main"><s> |
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2825 Designationes autem eorum, quibus in locis constituantur, |
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2826 sic explicentur. </s><s>si non erit ampla magnitudine theatrum, |
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2827 media altitudinis transversa regio designetur et in ea tredecim cellae duodecim aequalibus intervallis distantes confornicentur, uti ea echea, quae supra scripta sunt, ad |
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2828 neten hyperbolaeon sonantia in cellis, quae sunt in cornibus extremis, utraque parte prima conlocentur, secunda |
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2829 ab extremis diatessaron ad neten diezeugmenon, tertia |
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2830 diatessaron ad paramesen, quarta ad neten synhemmenon, |
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2831 quinta diatessaron ad mesen, sexta diatessaron ad hypaten meson, in medio unum diatessaron ad hypaten hypaton. |
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2832 </s></p></subchap2> |
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2833 <subchap2><p type="main"><s> |
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2834 Ita hac ratiocinatione vox a scaena uti ab centro |
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2835 profusa se circumagens tactuque feriens singulorum vasorum cava excitaverit auctam claritatem et concentu |
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2836 convenientem sibi consonantiam. </s><s>sin autem amplior erit |
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2837 magnitudo theatri, tunc altitudo dividatur in partes <emph type="smallcaps"/>IIII<emph.end/>, |
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2838 uti tres efficiantur regiones cellarum transverse designatae, una harmoniae, altera chromatos, tertia diatoni. </s><s>et ab imo quae erit prima, ea ex harmonia conlocetur, |
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2839 </s></p></subchap2> |
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2840 <subchap2><p type="main"><s> |
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2841 Ita uti in minore theatro supra scriptum est. </s><s>in mediana |
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2842 autem prima in extremis cornibus ad chromaticen hyperbolaeon habentia sonitum ponantur, in secundis ab his |
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2843 diatessaron ad chromaticen diezeugmenon, in tertiis ad |
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2844 chromaticen synhemmenon, quartis diatessaron ad chromaticen meson, quintis diatessaron ad chromaticen hypaton, |
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2845 sextis ad paramesen, quod et ad chromaticen hyperbolaeon |
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2846 diapente et ad chromaticen synhemmenon diatessaron habet consonantiae communitatem. |
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2847 </s></p></subchap2> |
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2848 <subchap2><p type="main"><s> |
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2849 In medio nihil est conlocandum, ideo quod sonitûm nulla alia qualitas in chromatico genere symphoniae consonantiam potest habere. </s><s>in summa vero divisione et regione cellarum in cornibus |
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2850 primis ad diatonon hyperbolaeon fabricata vasa sonitu |
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2851 ponantur, in secundis diatessaron ad diatonon <diezeugmenon>, tertiis ad diatonon synhemmenon, quartis diatessaron ad diatonon meson, quintis diatessaron ad diatonon hypaton, sextis diatessaron ad proslambanomenon, |
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2852 in medio ad mesen, quod ea et ad proslambanomenon |
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2853 diapason et ad diatonon hypaton diapente habet symphoniarum communitates. |
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2854 </s></p></subchap2> |
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2855 <subchap2><p type="main"><s> |
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2856 Haec autem si qui voluerit ad perfectum facile perducere, animadvertat in extremo libro |
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2857 diagramma musica ratione designatum, quod Aristoxenus |
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2858 magno vigore et industria generatim divisis modulationibus constitutum reliquit, de quo, si qui ratiocinationibus |
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2859 his attenderit, ad [naturas vocis et] audientium delectationes facilius valuerit theatrorum efficere perfectiones. |
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2860 </s></p></subchap2> |
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2861 <subchap2><p type="main"><s> |
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2862 Dicet aliquis forte multa theatra quotannis Romae |
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2863 facta esse neque ullam rationem harum rerum in his |
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2864 fuisse; sed errabit in eo, quod omnia publica lignea theatra tabulationes habent complures, quas necesse est sonare. </s><s>hoc vero licet animadvertere etiam ab citharoedis, |
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2865 qui, superiore tono cum volunt canere, avertunt se ad |
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2866 scaenae valvas et ita recipiunt ab earum auxilio consonantiam vocis. </s><s>cum autem ex solidis rebus theatra constituuntur, id est ex structura caementorum, lapide, marmore, quae sonare non possunt, tunc echeis hae rationes sunt explicandae. |
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2867 </s></p></subchap2> |
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2868 <subchap2><p type="main"><s> |
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2869 Sin autem quaeritur, in quo theatro ea sint facta, Romae non possumus ostendere, sed in Italiae |
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2870 regionibus et in pluribus Graecorum civitatibus. </s><s>etiamque auctorem habemus Lucium Mummium, qui diruto |
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2871 theatro Corinthiorum ea aenea Romam deportavit et de |
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2872 manubiis ad aedem Lunae dedicavit. </s><s>multi etiam sollertes architecti, qui in oppidis non magnis theatra constituerunt, propter inopiam fictilibus doliis ita sonantibus |
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2873 electis hac ratiocinatione compositis perfecerunt utilissimos effectus. |
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2874 </s></p></subchap2> |
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2875 </subchap1> |
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2876 <subchap1> |
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2877 <subchap2><p type="main"><s> |
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2878 Ipsius autem theatri conformatio sic est facienda, uti, |
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2879 quam magna futura est perimetros imi, centro medio conlocato circumagatur linea rotundationis, in eaque quattuor |
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2880 scribantur trigona paribus lateribus, <quae paribus> intervallis extremam lineam circinationis tangant, quibus etiam |
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2881 in duodecim signorum caelestium <astrologia> astrologi |
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2882 ex musica convenientia astrorum ratiocinantur. </s><s>ex his |
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2883 trigonis cuius latus fuerit proximum scaenae, ea regione, |
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2884 qua praecidit curvaturam circinationis, ibi finiatur scaenae |
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2885 frons, et ab eo loco per centrum parallelos linea ducatur, |
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2886 quae disiungat proscaenii pulpitum et orchestrae regionem. |
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2887 </s></p></subchap2> |
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2888 <subchap2><p type="main"><s> |
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2889 Ita latius factum fuerit pulpitum quam Graecorum, |
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2890 quod omnes artifices in scaena dant operam, in orchestra |
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2891 autem senatorum sunt sedibus loca designata. </s><s>et eius |
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2892 pulpiti altitudo sit ne plus pedum quinque, uti, qui in |
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2893 orchestra sederint, spectare possint omnium agentium |
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2894 gestus. </s><s>cunei spectaculorum in theatro ita dividantur, |
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2895 uti anguli trigonorum, qui currunt circum curvaturam |
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2896 circinationis, dirigant ascensus scalasque inter cuneos ad |
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2897 primam praecinctionem; supra autem alternis itineribus superiores cunei medii dirigantur. |
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2898 </s></p></subchap2> |
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2899 |
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2900 |
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2901 |
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2902 |
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2903 |
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2904 <subchap2><p type="main"><s> |
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2905 Hi autem, qui sunt in |
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2906 imo et dirigunt scalaria, erunt numero <emph type="smallcaps"/>VII<emph.end/>; reliqui quinque scaenae designabunt compositionem: et unus medius |
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2907 contra se valvas regias habere debet, et qui erunt dextra |
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2908 sinistra, hospitaliorum designabunt compositionem, extremi duo spectabunt itinera versurarum. </s><s>gradus spectaculorum, ubi subsellia componantur <gap/> gradus ne |
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2909 minus alti sint palmopede, <ne plus pedem> et digitos |
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2910 sex; latitudines eorum ne plus pedes duo semis, ne minus pedes duo constituantur. |
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2911 </s></p></subchap2> |
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2912 <subchap2><p type="main"><s> |
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2913 Tectum porticus, quod futurum est in summa gradatione, cum scaenae altitudine libratum perficiatur, ideo quod vox crescens aequaliter ad summas gradationes et tectum perveniet. </s><s>namque si non erit aequale, quo minus fuerit altum, vox praeripietur ad eam altitudinem, quam perveniet primo. |
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2914 </s></p></subchap2> |
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2915 <subchap2><p type="main"><s> |
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2916 Orchestra inter grados imos quod diametron habuerit, eius sexta |
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2917 pars sumatur, et in cornibus utrimque ad eius mensurae |
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2918 perpendiculum inferiores sedes praecidantur, et qua praecisio fuerit, ibi constituantur itinerum supercilia; ita enim satis altitudinem habebunt eorum confornicationes. |
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2919 </s></p></subchap2> |
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2920 <subchap2><p type="main"><s> |
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2921 Scaenae longitudo ad orchestrae diametron duplex fieri debet. </s><s>podii altitudo ab libramento pulpiti cum corona et lysi |
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2922 duodecumam orchestrae diametri. </s><s>supra podium columnae |
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2923 cum capitulis et spiris altae quarta parte eiusdem diametri; epistylia et ornamenta earum columnarum altitudinis quinta parte. </s><s>pluteum insuper cum unda et corona |
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2924 inferioris plutei dimidia parte. </s><s>supra id pluteum columnae quarta parte minore altitudine sint quam inferiores; |
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2925 epistylium et ornamenta earum columnarum quinta parte. </s><s>item si tertia episcenos futura erit, mediani plutei summum sit dimidia parte; columnae summae medianarum |
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2926 minus altae sint quarta parte; epistylia cum coronis earum |
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2927 columnarum item habeant altitudinis quintam partem. |
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2928 </s></p></subchap2> |
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2929 <subchap2><p type="main"><s> |
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2930 Nec tamen in omnibus theatris symmetriae ad omnes |
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2931 rationes et effectus possunt respondere, sed oportet architectum animadvertere, quibus proportionibus necesse sit |
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2932 sequi symmetriam et quibus ad loci naturam aut magnitudinem operis temperari. </s><s>sunt enim res, quas et in pusillo et in magno theatro necesse est eadem magnitudine |
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2933 fieri propter usum, uti gradus. </s><s>diazomata, pluteos, itinera, ascensus, pulpita, tribunalia et si qua alia intercurrunt, ex quibus necessitas cogit discedere ab symmetria, ne inpediatur usus, non minus si qua exiguitate |
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2934 copiarum, id est marmoris, materiae reliquarumque rerum, quae parantur in opere defuerint, paulum demere |
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2935 aut adicere, dum id ne nimium inprobe fiat sed cum sensu, non erit alienum. </s><s>hoc autem erit, si architectus erit |
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2936 usu peritus, praeterea ingenio mobili sollertiaque non |
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2937 fuerit viduatus. |
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2938 </s></p></subchap2> |
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2939 <subchap2><p type="main"><s> |
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2940 Ipsae autem scaenae suas habent rationes explicitas |
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2941 ita, uti mediae valvae ornatus habeant aulae regiae, dextra ac sinistra hospitalia, secundum autem spatia ad ornatus comparata, quae loca Graeci <foreign lang="greek">peria/ktoi</foreign> dicunt ab |
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2942 eo, quod machinae sunt in his locis versatiles trigonoe |
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2943 habentes singulares species ornationis, quae, cum aut fabularum mutationes sunt futurae seu deorum adventus, cum |
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2944 tonitribus repentinis [ea] versentur mutentque speciem |
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2945 ornationis in frontes. </s><s>secundum ea loca versurae sunt |
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2946 procurrentes, quae efficiunt una a foro, altera a peregre aditus in scaenam. |
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2947 </s></p></subchap2> |
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2948 <subchap2><p type="main"><s> |
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2949 Genera autem sunt scaenarum tria: unum quod dicitur tragicum, alterum comicum, tertium |
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2950 satyricum. </s><s>horum autem ornatus sunt inter se dissimili |
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2951 disparique ratione, quod tragicae deformantur columnis |
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2952 et fastigiis et signis reliquisque regalibus rebus; comicae |
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2953 autem aedificiorum privatorum et maenianorum habent |
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2954 speciem prospectusque fenestris dispositos imitatione, communium aedificiorum rationibus; satyricae vero ornantur |
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2955 arboribus, speluncis, montibus reliquisque agrestibus rebus |
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2956 in topeodis speciem deformati. |
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2957 </s></p></subchap2> |
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2958 </subchap1> |
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2959 <subchap1> |
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2960 <subchap2><p type="main"><s> |
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2961 In Graecorum theatris non omnia isdem rationibus |
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2962 sunt facienda, quod primum in ima circinatione, ut in |
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2963 latino trigonorum <emph type="smallcaps"/>IIII<emph.end/>, in eo quadratorum trium anguli |
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2964 circinationis lineam tangunt, et cuius quadrati latus est |
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2965 proximum scaenae praeciditque curvaturam circinationis, |
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2966 ea regione designatur finitio proscaenii. </s><s>et ab ea regione |
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2967 ad extremam circinationem curvaturae parallelos linea designatur, in qua constituitur frons scaenae, per centrumque orchestrae proscaenii regioni parallelos linea describitur, et qua secat circinationis lineas dextra ac sinistra, in |
|
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2968 cornibus hemicycli centra signantur. </s><s>et circino conlocato |
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2969 in dextra ab intervallo sinistro circumagitur circinatio ad |
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2970 proscaenii sinistram partem; item centro conlocato in sinistro cornu ab intervallo dextro circumagitur ad proscaenii dextram partem. |
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|
2971 </s></p></subchap2> |
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|
2972 <subchap2><p type="main"><s> |
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2973 Ita tribus centris hac descriptione ampliorem habent orchestram Graeci et scaenam recessiorem |
|
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2974 minoreque latitudine pulpitum, quod <foreign lang="greek">logei=on</foreign> appellant, |
|
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|
2975 ideo quod <apud> eos tragici et comici actores in scaena |
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2976 peragunt, reliqui autem artifices suas per orchestram |
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2977 praestant actiones; itaque ex eo scaenici et thymelici graece |
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2978 separatim nominantur. </s><s>eius logei altitudo non minus debet esse pedum <emph type="smallcaps"/>X<emph.end/>, non plus duodecim. </s><s>gradationes scalarum inter cuneos et sedes contra quadratorum angulos |
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2979 dirigantur ad primam praecinctionem, a praecinctione |
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2980 inter eas iterum mediae dirigantur, et ad summam quotiens praecinguntur, altero tanto semper amplificantur. |
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2981 </s></p></subchap2> |
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2982 </subchap1> |
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2983 <subchap1> |
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2984 <subchap2><p type="main"><s> |
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2985 Cum haec omnia summa cura sollertiaque explicata |
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2986 sunt, tunc etiam diligentius est animadvertendum, uti sit |
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2987 electus locus, in quo leniter adplicet se vox neque repulsa |
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2988 resiliens incertas auribus referat significationes. </s><s>sunt enim |
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2989 nonnulli loci naturaliter inpedientes vocis motus, uti desonantes, qui graece dicuntur <foreign lang="greek">kathxou=ntes</foreign>, circumsonantes, |
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2990 qui apud eos nominantur <foreign lang="greek">perihxou=ntes</foreign>, item resonantes, |
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2991 qui dicuntur <foreign lang="greek">a)nthxou=ntes</foreign>, consonantesque, quos appellant |
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2992 <foreign lang="greek">sunhxou=ntas</foreign>. desonantes sunt, in quibus vox prima, cum |
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2993 est elata in altitudinem, offensa superioribus solidis corporibus repulsaque residens in imo opprimit insequentis vocis elationem; |
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2994 </s></p></subchap2> |
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2995 <subchap2><p type="main"><s> |
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2996 circumsonantes autem, in quibus circumvagando coacta exsolvens in medio sine extremis casibus |
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2997 sonans ibi extinguatur incerta verborum significatione; |
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2998 resonantes vero, in quibus, cum in solido tactu percussa |
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2999 resiliat, imagines exprimendo novissimos casus duplices |
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3000 faciat auditu; item consonantes sunt, in quibus ab imis |
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3001 auxiliata cum incremento scandens egrediatur ad aures |
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3002 diserta verborum claritate. </s><s>ita si in locorum electione |
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3003 fuerit diligens animadversio, emendatus erit prudentia |
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3004 ad utilitatem in theatris vocis effectus. </s><s>formarum autem |
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3005 descriptiones inter se discriminibus his erunt notatae, uti, |
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3006 quae Graecorum habent usus, ex quadratis designentur, |
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3007 latina e paribus lateribus trigonorum. </s><s>ita his praescriptionibus qui voluerit uti, emendatas efficiet theatrorum |
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3008 perfectiones. |
|
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3009 </s></p></subchap2> |
|
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3010 </subchap1> |
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3011 <subchap1> |
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3012 <subchap2><p type="main"><s> |
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3013 Post scaenam porticus sunt constituendae, uti, cum |
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3014 imbres repentini ludos interpellaverint, habeat populus, |
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3015 quo se recipiat ex theatro, choragiaque laxamentum habeant |
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3016 ad comparandum. </s><s>uti sunt porticus Pompeianae, itemque |
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3017 Athenis porticus Eumenicae Patrisque Liberi fanum et |
|
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3018 exeuntibus e theatro sinistra parte odeum, quod Themistocles columnis lapideis dispositis navium malis et antemnis e spoliis Persicis pertexit (ideo autem etiam incensum Mithridatico bello rex Ariobarzanes restituit); |
|
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3019 Smyrnae Stratoniceum; Trallibus porticus ex utraque parte |
|
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3020 est scaenae supra stadium; ceterisque civitatibus, quae |
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3021 diligentiores habuerunt architectos, circa theatra sunt porticus et ambulationes. |
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|
3022 </s></p></subchap2> |
|
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|
3023 <subchap2><p type="main"><s> |
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3024 Quae videntur ita oportere conlocari, uti duplices sint habeantque exteriores columnas |
|
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3025 doricas cum epistyliis et ornamentis ex ratione modulationis perfectas. </s><s>latitudines autem earum ita oportere |
|
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3026 fieri videntur, uti, quanta altitudo columnae fuerit exterioris, tantam latitudinem habeant ab inferiore parte columnarum extremarum ad medias et a medianis ad parietes, |
|
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3027 qui circumcludunt porticus ambulationes. </s><s>medianae autem |
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3028 columnae quinta parte altiores sint quam exteriores, sed |
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|
3029 </s></p></subchap2> |
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|
3030 <subchap2><p type="main"><s> |
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|
3031 Aut ionico aut corinthio genere deformentur. </s><s>columnarum |
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3032 autem proportiones et symmetriae non erunt isdem rationibus, quibus in aedibus sacris scripsi; aliam enim in |
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3033 deorum templis debent habere gravitatem, aliam in porticibus et ceteris operibus subtilitatem. </s><s>itaque si dorici |
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3034 generis erunt columnae, dimetiantur earum altitudines |
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|
3035 cum capitulis in partes <emph type="smallcaps"/>XV<emph.end/>. ex eis partibus una constituatur et fiat modulus, ad cuius moduli rationem omnis operis |
|
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3036 erit explicatio. </s><s>et in imo columnae crassitudo fiat duorum |
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|
3037 modulorum; intercolumnium quinque et moduli dimidia |
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|
3038 parte; altitudo columnae praeter capitulum <emph type="smallcaps"/>XIIII<emph.end/> modulorum; capituli altitudo moduli unius, latitudo modulorum |
|
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|
3039 duorum et moduli sextae partis. </s><s>ceteri operis modulationes, uti in aedibus sacris in libro <emph type="smallcaps"/>IIII<emph.end/> scriptum est, ita perficiantur. |
|
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|
3040 </s></p></subchap2> |
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|
3041 <subchap2><p type="main"><s> |
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|
3042 Sin autem ionicae columnae fient, scapus praeter spiram et capitulum in octo et dimidiam partem |
|
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3043 dividatur, et ex his una crassitudini columnae detur; <spira> |
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|
3044 cum plintho dimidia crassitudine constituatur; capituli |
|
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3045 ratio ita fiat, uti in libro tertio est demonstratum. </s><s>si |
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|
3046 corinthia erit, scapus et spira uti in ionica; capitulûm |
|
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|
3047 autem, quemadmodum in quarto libro est scriptum, ita |
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|
3048 habeant rationem. </s><s>stylobatisque adiectio quae fit per |
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|
3049 scamillos inpares, ex descriptione, quae supra scripta est |
|
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|
3050 in libro tertio, sumatur. </s><s>epistylia, coronae ceteraque omnia ad columnarum rationem ex scriptis voluminum superiorum explicentur. |
|
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|
3051 </s></p></subchap2> |
|
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|
3052 <subchap2><p type="main"><s> |
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|
3053 Media vero spatia, quae erunt subdiu inter porticus, |
|
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|
3054 adornanda viridibus videntur, quod hypaethroe ambulationes habent magnam salubritatem. </s><s>et primum oculorum, |
|
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3055 quod ex viridibus subtilis et extenuatus aer propter motionem corporis influens perlimat speciem et ita auferens |
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3056 ex oculis umorem crassum, aciem tenuem et acutam speciem relinquit; praeterea, cum corpus motionibus in ambulatione calescat, umores ex membris aer exsugendo inminuit plenitates extenuatque dissipando quod plus inest quam corpus potest sustinere. |
|
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|
3057 </s></p></subchap2> |
|
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|
3058 <subchap2><p type="main"><s> |
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3059 Hoc autem ita esse ex eo licet animadvertere, quod, sub tectis cum sint aquarum |
|
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|
3060 fontes aut etiam sub terra palustris abundantia, ex his |
|
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|
3061 nullus surgit umor nebulosus, sed in apertis hypaethrisque locis, cum sol oriens vapore tangat mundum, ex umidis et abundantibus excitat umores et eos conglobatos in |
|
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|
3062 altitudinem tollit. </s><s>ergo si ita videtur, uti in hypaethris |
|
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3063 locis ab aere umores ex corporibus exsugantur molestiores, quemadmodum ex terra per nebulas videntur, non |
|
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|
3064 puto dubium esse, quin amplissimas et ornatissimas subdiu hypaethrusque conlocari oporteat in civitatibus ambulationes. |
|
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|
3065 </s></p></subchap2> |
|
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|
3066 <subchap2><p type="main"><s> |
|
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|
3067 Eae autem uti sint semper siccae et non lutosae, sic erit faciendum. </s><s>fodiantur et exinaniantur quam |
|
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|
3068 altissime. </s><s>dextra atque sinistra structiles cloacae fiant, |
|
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|
3069 inque earum parietibus, qui ad ambulationem spectaverint, |
|
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|
3070 tubuli instruantur inclinati fastigio. </s><s>cloacis his perfectis |
|
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|
3071 compleantur ea loca carbonibus, deinde insuper sabulone |
|
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|
3072 eae ambulationes sternantur et exaequentur. </s><s>ita propter |
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|
3073 carbonum raritatem naturalem et tubulorum in cloacas |
|
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|
3074 instructionem excipientur aquarum abundantiae, et ita |
|
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|
3075 siccae et sine umore perfectae fuerint ambulationes. |
|
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|
3076 </s></p></subchap2> |
|
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|
3077 <subchap2><p type="main"><s> |
|
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|
3078 Praeterea in his operibus thensauri sunt civitatibus in |
|
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|
3079 necessariis rebus a maioribus constituti. </s><s>in conclusionibus enim reliqui omnes faciliores sunt apparatus quam |
|
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|
3080 lignorum. </s><s>sal enim facile ante inportatur, frumenta publice privatimque expeditius congeruntur, et si defit, holeribus, carne seu leguminibus defenditur, aquae fossuris |
|
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|
3081 puteorum et de caelo repentinis tempestatibus ex tegulis |
|
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|
3082 excipiuntur. </s><s>de lignatione, quae maxime necessaria est |
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|
3083 ad cibum coquendum, difficilis et molesta est apparatio, quod et tarde comportatur et plus consumitur. |
|
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|
3084 </s></p></subchap2> |
|
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|
3085 <subchap2><p type="main"><s> |
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|
3086 In eiusmodi temporibus tunc eae ambulationes aperiuntur et |
|
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|
3087 mensurae tributim singulis capitibus designantur. </s><s>ita duas |
|
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|
3088 res egregias hypaethroe ambulationes praestant, unam in |
|
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|
3089 pace salubritatis, alteram in bello salutis. </s><s>ergo his rationibus ambulationum explicationes non solum post scaenam |
|
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|
3090 theatri, sed etiam omnium deorum templis effectae magnas civitatibus praestare poterunt utilitates. |
|
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|
3091 </s> |
|
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|
3092 </p><p type="main"><s> |
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|
3093 Quoniam haec nobis satis videntur esse exposita, nunc |
|
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|
3094 insequentur balinearum dispositionum demonstrationes. |
|
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|
3095 </s></p></subchap2> |
|
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|
3096 </subchap1> |
|
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|
3097 <subchap1> |
|
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|
3098 <subchap2><p type="main"><s> |
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|
3099 Primum eligendus locus est quam calidissimus, id est |
|
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|
3100 aversus ab septentrione et aquilone. </s><s>ipsa autem caldaria |
|
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|
3101 tepidariaque lumen habeant ab occidente hiberno, si autem |
|
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|
3102 natura loci inpedierit, utique a meridie, quod maxime |
|
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|
3103 tempus lavandi a meridiano ad vesperum est constitutum. </s><s>et item est animadvertendum, uti caldaria muliebria et |
|
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|
3104 virilia coniuncta et in isdem regionibus sint conlocata; |
|
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|
3105 sic enim efficietur, ut vasaria et hypocausis communis |
|
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|
3106 sit eorum utrisque. </s><s>aenea supra hypocausim tria sunt |
|
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|
3107 componenda, unum caldarium, alterum tepidarium, tertium frigidarium, et ita conlocanda, uti, ex tepidario in |
|
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|
3108 caldarium quantum aquae caldae exierit, influat de frigidario in tepidarium ad eundem modum, testudinesque alveolorum ex communi hypocausi calfaciantur. |
|
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|
3109 </s></p></subchap2> |
|
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|
3110 <subchap2><p type="main"><s> |
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|
3111 Suspensurae caldariorum ita sunt faciendae, ut primum sesquipedalibus tegulis solum sternatur inclinatum ad hypocausim, uti pila, cum mittatur, non possit intro resistere, sed |
|
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|
3112 rursus redeat ad praefurnium ipsa per se; ita flamma |
|
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|
3113 facilius pervagabitur sub suspensione. </s><s>supraque laterculis |
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|
3114 besalibus pilae struantur ita dispositae, uti bipedales tegulae possint supra esse conlocatae; altitudinem autem |
|
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|
3115 pilae habeant pedes duo. </s><s>eaeque struantur argilla cum |
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3116 capillo subacta, supraque conlocentur tegulae bipedales, quae sustineant pavimentum. |
|
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|
3117 </s></p></subchap2> |
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|
3118 <subchap2><p type="main"><s> |
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|
3119 Concamarationes vero si ex structura factae fuerint, erunt utiliores; sin autem contignationes fuerint, figlinum opus subiciatur. </s><s>sed hoc ita |
|
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|
3120 erit faciendum. </s><s>regulae ferreae aut arcus fiant, eaeque |
|
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|
3121 uncinis ferreis ad contignationem suspendantur quam creberrimis; eaeque regulae sive arcus ita disponantur, uti |
|
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|
3122 tegulae sine marginibus sedere in duabus invehique possint, et ita totae concamarationes in ferro nitentes sint |
|
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|
3123 perfectae. </s><s>earumque camararum superiora coagmenta ex |
|
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|
3124 argilla cum capillo subacta liniantur; inferior autem pars, |
|
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|
3125 quae ad pavimentum spectat, primum testa cum calce |
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|
3126 trullizetur, deinde opere albario sive tectorio poliatur. |
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|
3127 eaeque camarae in caldariis si duplices factae fuerint, |
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|
3128 meliorem habebunt usum; non enim a vapore umor corrumpere poterit materiem contignationis, sed inter duas camaras vagabitur. |
|
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|
3129 </s></p></subchap2> |
|
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|
3130 <subchap2><p type="main"><s> |
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|
3131 Magnitudines autem balneorum videntur fieri pro copia hominum <gap/> sint ita compositae. </s><s>quanta longitudo fuerit tertia dempta, latitudo sit, praeter scholam labri et alvei. </s><s>labrum utique sub |
|
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|
3132 lumine faciundum videtur, ne stantes circum suis umbris |
|
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3133 obscurent lucem. </s><s>scholas autem labrorum ita fieri oportet |
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3134 spatiosas, uti, cum priores occupaverint loca circum, expectantes reliqui recte stare possint. </s><s>alvei autem latitudo inter parietem et pluteum ne minus sit pedes senos, |
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3135 ut gradus inferior inde auferat et pulvinus duos pedes. |
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3136 </s></p></subchap2> |
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3137 <subchap2><p type="main"><s> |
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3138 Laconicum sudationesque sunt coniungendae tepidario; eaeque quam latae fuerint, tantam altitudinem habeant ad |
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3139 imam curvaturam hemisphaerii. </s><s>mediumque lumen in |
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3140 hemisphaerio relinquatur, ex eoque clipeum aeneum catenis |
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3141 pendeat, per cuius reductiones et demissiones perficietur |
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3142 sudationis temperatura. </s><s>ipsumque ad circinum fieri oportere videtur, ut aequaliter a medio flammae vaporisque |
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3143 vis per curvaturae rotundationes pervagetur. |
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3144 </s></p></subchap2> |
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3145 </subchap1> |
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3146 <subchap1> |
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3147 <subchap2><p type="main"><s> |
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3148 Nunc mihi videtur, tametsi non sint italicae consuetudinis palaestrarum aedificationes, traditae tamen, explicare et, quemadmodum apud Graecos constituantur, monstrare. </s><s>in palaestris peristylia quadrata sive oblonga ita |
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3149 sunt facienda, uti duorum stadiorum habeant ambulationis circumitionem, quod Graeci vocant <foreign lang="greek">di/aulon</foreign>, ex quibus |
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3150 tres porticus simplices disponantur, quarta, quae ad meridianas regiones est conversa, duplex, uti, cum tempestates |
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3151 ventosae sint, non possit aspergo in interiorem partem pervenire. |
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3152 </s></p></subchap2> |
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3153 <subchap2><p type="main"><s> |
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3154 Constituantur autem in tribus porticibus exhedrae spatiosae, habentes sedes, in quibus philosophi, |
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3155 rhetores reliquique, qui studiis delectantur, sedentes disputare possint. </s><s>in duplici autem porticu conlocentur haec |
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3156 membra: ephebeum in medio (hoc autem est exhedra amplissima cum sedibus) tertia parte longior sit quam lata; |
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3157 sub dextro coryceum, deinde proxime conisterium, a conisterio in versura porticus frigida lavatio, quam Graeci |
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3158 <foreign lang="greek">loutro/n</foreign> vocitant; ad sinistram ephebei elaeothesium, |
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3159 proxime autem elaeothesium frigidarium, ab eoque iter |
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3160 in propnigeum in versura porticus. </s><s>proxima autem introrsus e regione frigidarii conlocetur concamerata sudatio longitudine duplex quam latitudo, quae habeat in |
|
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3161 versuris ex una parte laconicum ad eundem modum, uti |
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3162 quam supra scriptum est, compositum, ex adverso laconici |
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3163 caldam lavationem. </s><s>in palaestra peristylia, quemadmodum |
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3164 supra scriptum est, ita debent esse [perfecta] distributa. |
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3165 </s></p></subchap2> |
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3166 <subchap2><p type="main"><s> |
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3167 Extra autem disponantur porticus tres, una ex peristylo |
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3168 exeuntibus, duae dextra atque sinistra stadiatae, ex quibus |
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3169 una, quae spectaverit ad septentrionem, perficiatur duplex |
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3170 amplissima latitudine, altera simplex, ita factae, uti in partibus, quae fuerint circa parietes et quae erit ad columnas, margines habeant uti semitas non minus pedum |
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3171 denûm mediumque excavatum, uti gradus sint in descensu |
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3172 marginibus sesquipedem ad planitiem, quae planities sit |
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3173 non minus pedes <emph type="smallcaps"/>XII<emph.end/>; ita qui vestiti ambulaverint circum |
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3174 in marginibus, non inpedientur ab unctis se exercentibus. |
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3175 </s></p></subchap2> |
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3176 <subchap2><p type="main"><s> |
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3177 Haec autem porticus <foreign lang="greek">custo/s</foreign> apud Graecos vocitatur, quod |
|
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3178 athletae per hiberna tempora in tectis stadiis exercentur. </s><s>proxime autem xystum et duplicem porticum designentur |
|
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3179 hypaethroe ambulationes, quas Graeci <foreign lang="greek">paradromi/des</foreign>, nostri |
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3180 xysta appellant, in quas per hiemem ex xysto sereno |
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3181 caelo athletae prodeuntes exercentur. </s><s>faciunda autem |
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3182 xysta sic videntur, ut sint inter duas porticus silvae aut |
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3183 platanones, et in his perficiantur inter arbores ambulationes ibique ex opere signino stationes. </s><s>post xystum |
|
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3184 autem stadium ita figuratum, ut possint hominum copiae |
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3185 cum laxamento athletas certantes spectare. |
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3186 </s> |
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3187 </p><p type="main"><s> |
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3188 Quae in moenibus necessaria videbantur esse, ut apte disponantur, perscripsi. |
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3189 </s></p></subchap2> |
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|
3190 </subchap1> |
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|
3191 <subchap1> |
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3192 <subchap2><p type="main"><s> |
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3193 De opportunitate autem portuum non est praetermittendum sed, quibus rationibus tueantur |
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3194 naves in his ab tempestatibus, explicandum. </s><s>hi autem naturaliter si sint bene positi habeantque acroteria sive |
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3195 promunturia procurrentia, ex quibus introrsus curvaturae |
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3196 sive versurae ex loci natura fuerint conformatae, maximas |
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3197 utilitates videntur habere. </s><s>circum enim porticus sive navalia sunt facienda sive ex porticibus aditus <ad> emporia, |
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3198 turresque ex utraque parte conlocandae, ex quibus catenae |
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|
3199 traduci per machinas possint. |
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3200 </s></p></subchap2> |
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3201 <subchap2><p type="main"><s> |
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3202 Sin autem non naturalem locum neque idoneum ad |
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3203 tuendas ab tempestatibus naves habuerimus, ita videtur |
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3204 esse faciendum, uti, si nullum flumen in his locis inpedierit sed erit ex una parte statio, tunc ex altera parte |
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3205 structuris sive aggeribus expediantur progressus, et ita |
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3206 conformandae portuum conclusiones. </s><s>eae autem structurae, quae in aqua sunt futurae, videntur sic esse faciendae, |
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3207 uti portetur pulvis a regionibus, quae sunt a Cumis continuatae ad promunturium Minervae, isque misceatur, uti in mortario duo ad unum respondeant. |
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3208 </s></p></subchap2> |
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|
3209 <subchap2><p type="main"><s> |
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3210 Deinde tunc in eo loco, qui definitus erit, arcae stipitibus robusteis et |
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3211 catenis inclusae in aquam demittendae destinandaeque |
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3212 firmiter; deinde inter ea extrastilis inferior pars sub aqua |
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3213 exaequanda et purganda, et caementis ex mortario materia |
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3214 mixta, quemadmodum supra scriptum est, ibi congerendum, |
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3215 doneque compleatur structurae spatium, quod fuerit inter |
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3216 arcas. </s><s>hoc autem munus naturale habent ea loca, quae |
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3217 supra scripta sunt. |
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3218 </s> |
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3219 </p><p type="main"><s> |
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3220 Sin autem propter fluctus aut impetus aperti pelagi |
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3221 destinae arcas non potuerint continere, tunc ab ipsa terra |
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3222 sive crepidine pulvinus quam firmissime struatur, isque |
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3223 pulvinus exaequata struatur planitia minus quam dimidiae |
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3224 partis, reliquum, quod est proxime litus, proclinatum latus |
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3225 </s></p></subchap2> |
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3226 <subchap2><p type="main"><s> |
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3227 habeat. </s><s>deinde ad ipsam aquam et latera pulvino circiter |
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3228 sesquipedales margines struantur aequilibres ex planitia, |
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3229 quae est supra scripta; tunc proclinatio ea impleatur harena et exaequetur cum margine et planitia pulvini. </s><s>deinde |
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3230 insuper eam exaequationem pila, quam magna constituta |
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3231 fuerit, ibi struatur; eaque, cum erit extructa, relinquatur |
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3232 ne minus duos menses, ut siccescat. </s><s>tunc autem succidatur margo, quae sustinet harenam; ita harena fluctibus subruta efficiet in mare pilae praecipitationem. </s><s>hac |
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3233 ratione, quotienscumque opus fuerit, in aquam poterit |
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3234 esse progressus. |
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3235 </s></p></subchap2> |
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3236 <subchap2><p type="main"><s> |
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3237 In quibus autem locis pulvis non nascitur, his rationibus erit faciendum, uti arcae duplices relatis tabulis et |
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3238 catenis conligatae in eo loco, qui finitus erit, constituantur, |
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3239 et inter destinas creta in aeronibus ex ulva palustri factis |
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3240 calcetur. </s><s>cum ita bene calcatum et quam densissime |
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3241 fuerit, tunc cocleis, rotis, tympanis conlocatis locus, qui |
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3242 ea saeptione finitus fuerit, exinaniatur sicceturque, et ibi |
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3243 inter saeptiones fundamenta fodiantur. </s><s>si terrena erunt, |
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3244 usque ad solidum, crassiora quam qui murus supra futurus erit, et tunc structura ex caementis calce et harena compleantur. |
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3245 </s></p></subchap2> |
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3246 <subchap2><p type="main"><s> |
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3247 Sin autem mollis locus erit, palis ustilatis |
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3248 alneis aut oleagineis configantur et carbonibus compleantur, quemadmodum in theatrorum et muri fundationibus est scriptum. </s><s>deinde tunc quadrato saxo murus |
|
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3249 ducatur iuncturis quam longissimis, uti maxime medii lapides coagmentis contineantur. </s><s>tunc, qui locus erit inter |
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3250 murum, ruderatione sive structura compleatur. </s><s>ita erit |
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3251 uti possit turris insuper aedificari. |
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3252 </s></p></subchap2> |
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3253 <subchap2><p type="main"><s> |
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3254 His perfectis navaliorum ea erit ratio, ut constituantur |
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3255 spectantia maxime ad septentrionem; nam meridianae |
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3256 regiones propter aestus cariem, tineam, teredines reliquaque bestiarum nocentium genera procreant alendoque |
|
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|
3257 conservant. </s><s>eaque aedificia minime sunt materianda propter incendia. </s><s>de magnitudinibus autem finitio nulla debet |
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3258 esse, sed faciunda ad maximum navium modum, uti, etsi |
|
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3259 maiores naves subductae fuerint, habeant cum laxamento |
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|
3260 ibi conlocationem. |
|
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|
3261 </s> |
|
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|
3262 </p><p type="main"><s> |
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|
3263 Quae necessaria ad utilitatem in civitatibus publicorum |
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|
3264 locorum succurrere mihi potuerunt, quemadmodum constituantur et perficiantur, in hoc volumine scripsi; privatorum autem aedificiorum utilitates et eorum symmetrias |
|
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3265 insequenti volumine ratiocinabor. |
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|
3266 </s> |
|
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|
3267 </p> |
|
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|
3268 </subchap2></subchap1> |
|
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|
3269 </chap> |
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|
3270 <chap> |
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|
3271 <!-- 6,t,1,1 --> |
|
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|
3272 <p type="head"><s>LIBER SEXTUS</s></p> |
|
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|
3273 <subchap1> |
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|
3274 <subchap2><p type="main"><s> |
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|
3275 Aristippus philosophus Socraticus, naufragio cum eiectus |
|
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|
3276 ad Rhodiensium litus animadvertisset geometrica schemata descripta, exclamavisse ad comites ita dicitur: 'bene |
|
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|
3277 speremus! hominum enim vestigia video.' statimque in |
|
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|
3278 oppidum Rhodum contendit et recta gymnasium devenit, |
|
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|
3279 ibique de philosophia disputans muneribus est donatus, |
|
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3280 ut non tantum se ornaret, sed etiam eis, qui una fuerunt, |
|
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|
3281 et vestitum et cetera, quae opus essent ad victum, praestaret. </s><s>cum autem eius comites in patriam reverti voluissent interrogarentque eum, quidnam vellet domum renuntiari, tunc ita mandavit dicere: eiusmodi possessiones |
|
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3282 et viatica liberis oportere parari, quae etiam e naufragio una possent enatare. |
|
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|
3283 </s></p></subchap2> |
|
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|
3284 <subchap2><p type="main"><s> |
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|
3285 Namque ea vera praesidia sunt |
|
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|
3286 vitae, quibus neque fortunae tempestas iniqua neque publicarum rerum mutatio neque belli vastatio potest nocere. </s><s>non minus eam sententiam augendo Theophrastus, hortando doctos potius esse quam pecuniae confidentes, ita |
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|
3287 ponit: doctum ex omnibus solum neque in alienis locis |
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|
3288 peregrinum neque amissis familiaribus et necessariis inopem amicorum, sed in omni civitate esse civem difficilesque fortunae sine timore posse despicere casus; at qui |
|
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3289 non doctrinarum sed felicitatis praesidiis putaret se esse |
|
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|
3290 vallatum, labidis itineribus vadentem non stabili sed in firma conflictari vita. |
|
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|
3291 </s></p></subchap2> |
|
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3292 <subchap2><p type="main"><s> |
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3293 Epicurus vero non dissimiliter ait: |
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3294 pauca sapientibus fortunam tribuere, quae autem maxima |
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3295 et necessaria sunt, animi mentisque cogitationibus gubernari. </s><s>haec ita etiam plures philosophi dixerunt. </s><s>non |
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3296 minus poetae, qui antiquas comoedias graece scripserunt, |
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3297 easdem sententias versibus in scaena pronuntiaverunt, ut |
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3298 Crates, Chionides, Aristophanes, maxime etiam cum his |
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3299 Alexis, qui Athenienses ait oportere ideo laudari, quod |
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3300 omnium Graecorum leges cogunt parentes <ali> a liberis, |
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3301 Atheniensium non omnes nisi eos, qui liberos artibus erudissent. </s><s>omnia enim munera fortunae cum dantur, ab ea |
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3302 faciliter adimuntur; disciplinae vero coniunctae cum animis nullo tempore deficiunt, sed permanent stabiliter ad summum exitum vitae. |
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3303 </s></p></subchap2> |
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3304 <subchap2><p type="main"><s> |
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3305 Itaque ego maximas infinitasque |
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3306 parentibus ago atque habeo gratias, quod Atheniensium |
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3307 legem probantes me arte erudiendum curaverunt, et ea, |
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3308 quae non potest esse probata sine litteratura encyclioque |
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3309 doctrinarum omnium disciplina. </s><s>cum ergo et parentium |
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3310 cura et praeceptorum doctrinis auctas haberem copias |
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3311 disciplinarum, philologis et philotechinis rebus commentariorumque scripturis me delectans eas possessiones animo paravi, e quibus haec est fructuum summa: nullas plus |
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3312 habendi esse necessitates eamque esse proprietatem, divitiarum maxime nihil desiderare. </s><s>sed forte nonnulli haec |
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3313 levia iudicantes putant eos esse sapientes, qui pecunia |
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3314 sunt copiosi. </s><s>itaque plerique ad id propositum contendentes audacia adhibita cum divitiis etiam notitiam sunt consecuti. |
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3315 </s></p></subchap2> |
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3316 <subchap2><p type="main"><s> |
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3317 Ego autem, Caesar, non ad pecuniam parandam |
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3318 ex arte dedi studium, sed potius tenuitatem cum bona |
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3319 fama quam abundantiam cum infamia sequendam probavi. </s><s>ideo notities parum est adsecuta. </s><s>sed tamen his voluminibus editis, ut spero, etiam posteris ero notus. </s><s>neque |
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3320 est mirandum, quid ita pluribus sim ignotus. </s><s>ceteri architecti rogant et ambiunt, ut architectent; mihi autem a |
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3321 praeceptoribus est traditum: rogatum, non rogantem oportere suscipere curam, quod ingenuus color movetur pudore petendo rem suspiciosam. </s><s>nam beneficium dantes, |
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3322 non accipientes ambiuntur. </s><s>quid enim putemus suspicari, |
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3323 qui rogetur de patrimonio sumptus faciendos committere |
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3324 gratiae petentis, nisi praedae compendiique eius causa iudicet faciundum? |
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3325 </s></p></subchap2> |
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3326 <subchap2><p type="main"><s> |
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3327 Itaque maiores primum a genere probatis operam tradebant architectis, deinde quaerebant, si |
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3328 honeste essent educati, ingenuo pudori, non audaciae protervitatis permittendum iudicantes. </s><s>ipsi autem artifices |
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3329 non erudiebant nisi suos liberos aut cognatos et eos viros |
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3330 bonos instituebant, quibus tantarum rerum fidei pecuniae |
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3331 sine dubitatione permitterentur. |
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3332 </s> |
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3333 </p><p type="main"><s> |
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3334 Cum autem animadverto ab indoctis et inperitis tantae |
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3335 disciplinae magnitudinem iactari et ab îs, qui non modo |
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3336 architecturae sed omnino ne fabricae quidem notitiam |
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3337 habent, non possum non laudare patres familiarum eos, |
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3338 qui litteraturae fiducia confirmati per se aedificantes ita |
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3339 iudicant: si inperitis sit committendum, ipsos potius digniores esse ad suam voluntatem quam ad alienam pecuniae consumere summam. |
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3340 </s></p></subchap2> |
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3341 <subchap2><p type="main"><s> |
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3342 Itaque nemo artem ullam |
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3343 aliam conatur domi facere, uti sutrinam, fullonicam aut |
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3344 ex ceteris, quae sunt faciliores, nisi architecturam, ideo |
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3345 quod, qui profitentur, non arte vera sed falso nominantur |
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3346 architecti. </s><s>quas ob res corpus architecturae rationesque |
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3347 eius putavi diligentissime conscribendas, opinans munus |
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3348 omnibus gentibus non ingratum futurum. </s><s>igitur, quoniam |
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3349 in quinto de opportunitate communium operum perscripsi, |
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3350 in hoc volumine privatorum aedificiorum ratiocinationes |
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3351 et commensus symmetriarum explicabo. |
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3352 </s></p></subchap2> |
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3353 </subchap1> |
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3354 <subchap1> |
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3355 <subchap2><p type="main"><s> |
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3356 Haec autem ita erunt recte disposita, si primo animadversum fuerit, quibus regionibus aut quibus inclinationibus |
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3357 mundi constituantur. </s><s>namque aliter Aegypto, aliter Hispania, non eodem modo Ponto, dissimiliter Romae, item |
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3358 ceteris terrarum et regionum proprietatibus oportere videntur constitui genera aedificiorum, quod alia parte solis |
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3359 cursu premitur tellus, alia longe ab eo distat, alia per |
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3360 medium temperatur. </s><s>igitur, uti constitutio mundi ad terrae |
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3361 spatium inclinatione signiferi circuli et solis cursu disparibus qualitatibus naturaliter est conlocata, ad eundem |
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3362 modum etiam ad regionum rationes caelique varietates videntur aedificiorum debere dirigi conlocationes. |
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3363 </s></p></subchap2> |
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3364 <subchap2><p type="main"><s> |
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3365 Sub septentrione aedificia testudinata et maxime conclusa et |
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3366 non patentia, sed conversa ad calidas partes oportere fieri |
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3367 videntur. </s><s>contra autem sub impetu solis meridianis regionibus, quod premuntur a calore, patentiora conversaque ad septentrionem et aquilonem sunt faciunda. </s><s>ita, |
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3368 quod ultra natura laedit, arte erit emendandum. </s><s>item reliquis regionibus ad eundem modum <debet> temperari, |
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3369 quemadmodum caelum est ad inclinationem mundi conlocatum. |
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3370 </s></p></subchap2> |
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3371 <subchap2><p type="main"><s> |
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3372 Haec autem ex natura rerum sunt animadvertenda et |
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3373 consideranda atque etiam ex membris corporibusque gentium observanda. </s><s>namque sol quibus locis mediocriter |
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3374 profundit vapores, in his conservat corpora temperata; |
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3375 quaeque proxime currendo deflagrat, eripit exurendo temperaturam umoris; contra vero refrigeratis regionibus, |
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3376 quod absunt a meridie longe, non exhauritur a caloribus |
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3377 umor, sed ex caelo roscidus aer in corpora fundens umorem efficit ampliores corporaturas vocisque sonitus graviores. </s><s>ex eo quoque, <quae> sub septentrionibus nutriuntur gentes, inmanibus corporibus, candidis coloribus, directo capillo et rufo, oculis caesis, sanguine multo ab umoris plenitate caelique refrigerationibus sunt conformati; |
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3378 </s></p></subchap2> |
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3379 <subchap2><p type="main"><s> |
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3380 Qui autem sunt proximi ad axem meridianum subiectique solis cursui, brevioribus corporibus, colore fusco, |
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3381 crispo capillo, oculis nigris, [cruribus validis,] sanguine |
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3382 exiguo solis impetu perficiuntur. </s><s>itaque etiam propter |
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3383 sanguinis exiguitatem timidiores sunt ferro resistere, sed |
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3384 ardores ac febres sufferunt sine timore, quod nutrita sunt |
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3385 eorum membra cum fervore; itemque corpora, quae nascuntur sub septentrione, a febri sunt timidiora et inbecilla, |
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3386 sanguinis autem abundantia ferro resistunt sine timore. |
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3387 </s></p></subchap2> |
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3388 <subchap2><p type="main"><s> |
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3389 Non minus sonus vocis in generibus gentium dispares |
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3390 et varias habet qualitates, ideo quod terminatio orientis |
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3391 et occidentis circa terrae librationem, qua dividitur pars |
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3392 superior et inferior mundi, habere videtur libratam naturali modo circumitionem, quam etiam mathematici <foreign lang="greek">o(ri/zonta</foreign> dicunt. </s><s>igitur cum id habemus certum ab imo sustinens, |
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3393 ab labro, quod est in regione septentrionali, linea traiecta ad id, quod est supra meridianum axem, ab eoque |
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3394 altera obliqua in altitudinem ad summum cardinem, qui |
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3395 est post stellas septentrionum, sine dubitatione animadvertemus ex eo esse schema trigonii mundo, uti organi, quam <foreign lang="greek">sambu/kh</foreign> Graeci dicunt. |
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3396 </s></p></subchap2> |
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3397 <subchap2><p type="main"><s> |
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3398 Itaque quod est spatium proximum imo cardini ab axis linea in meridianis finibus, |
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3399 sub eo loco quae sunt nationes, propter brevitatem altitudinis ad mundum sonitum vocis faciunt tenuem et acutissimum, uti in organo chorda, quae est proxima angulo. </s><s>secundum eam autem reliquae ad mediam Graeciam remissiones efficiunt in nationibus sonorum scansione. </s><s>item |
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3400 a medio in ordinem crescendo ad extremos septentriones |
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3401 sub altitudines caeli nationum spiritus sonitibus gravioribus a natura rerum exprimuntur. </s><s>ita videtur mundi |
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3402 conceptio tota propter inclinationem consonantissime per solis temperaturam ad harmoniam esse composita. |
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3403 </s></p></subchap2> |
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3404 <subchap2><p type="main"><s> |
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3405 Igitur quae nationes sunt inter axis meridiani cardinem ac septentrionalis medio positae, uti in diagrammate musico |
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3406 medianae vocis habent sonitum in sermone; quaeque progredientibus ad septentrionem sunt nationes, quod altiores habent distantias mundi, spiritus vocis habentes umore |
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3407 repulsos ad hypatas et proslambanomenon, a natura rerum |
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3408 sonitu graviore coguntur uti; eadem ratione <e> medio |
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3409 progredientibus ad meridiem gentes paranetarum <netarum>que acutissimam sonitus vocis perficiunt tenuitatem. |
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3410 </s></p></subchap2> |
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3411 <subchap2><p type="main"><s> |
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3412 Hoc autem verum esse, ex umidis naturae locis graviora |
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3413 fieri et ex fervidis acutiora, licet ita experiendo animadvertere. </s><s>calices duo in una fornace aeque cocti aequoque |
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3414 pondere ad crepitumque uno sonitu sumantur. </s><s>ex his |
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3415 unus in aquam demittatur, postea ex aqua eximatur; |
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3416 tunc utrique tangantur. </s><s>cum enim ita factum fuerit, |
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3417 largiter inter eos sonitus discrepabit, aequoque pondere |
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3418 non poterunt esse. </s><s>ita et hominum corpora uno genere |
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3419 figurationis et una mundi coniunctione concepta alia |
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3420 propter regionis ardorem acutum spiritum aeris exprimunt acutum, alia propter umoris abundantiam gravissimas effundunt sonorum qualitates. |
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3421 </s></p></subchap2> |
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3422 <subchap2><p type="main"><s> |
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3423 Item propter tenuitatem caeli meridianae nationes ex |
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3424 acuta fervore mente expeditius celeriusque moventur ad |
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3425 consiliorum cogitationes; septentrionales autem gentes |
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3426 infusae crassitudine caeli, propter obstantiam aeris umore |
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3427 refrigeratae stupentes habent mentes. </s><s>hoc autem ita esse |
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3428 a serpentibus licet aspicere, quae, per calorem cum exhaustam habent umoris refrigerationem, tunc acerrime |
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3429 moventur, per brumalia autem et hiberna tempora ab |
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3430 mutatione caeli refrigeratae, inmotae sunt stupore. </s><s>ita |
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3431 non est mirandum, si acutiores efficit calidus aer hominum mentes, refrigeratus autem contra tardiores. |
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3432 </s></p></subchap2> |
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3433 <subchap2><p type="main"><s> |
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3434 Cum sint autem meridiane nationes animis acutissimis infinitaque |
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3435 sollertia consiliorum, simul ut ad fortitudinem ingrediuntur, ibi succumbunt, quod habent exsuctas ab sole animorum virtutes; qui vero refrigeratis nascuntur regionibus, ad armorum vehementiam paratiores sunt magnis |
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3436 virtutibus sine timore, sed tarditate animi sine considerantia inruentes sine sollertia suis consiliis refragantur. </s><s>cum ergo haec ita sint ab natura rerum in mundo conlocata et omnes nationes inmoderatis mixtionibus disparatae, veros inter spatium totius orbis terrarum regionesque medio mundi populus Romanus possidet fines. |
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3437 </s></p></subchap2> |
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3438 <subchap2><p type="main"><s> |
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3439 Namque temperatissimae ad utramque partem et corporum membris animorumque vigoribus pro fortitudine sunt in Italia |
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3440 gentes. </s><s>quemadmodum enim Iovis stella inter Martis ferventissimam et Saturni frigidissimam media currens temperatur, eadem ratione Italia inter septentrionalem meridianamque ab utraque parte mixtionibus temperatas et |
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3441 invictas habet laudes. </s><s>itaque consiliis refringit barbarorum |
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3442 virtutes, forti manu meridianorum cogitationes. </s><s>ita divina |
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3443 mens civitatem populi Romani egregia temperataque regione conlocavit, uti orbis terrarum imperii potiretur. |
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3444 </s></p></subchap2> |
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3445 <subchap2><p type="main"><s> |
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3446 Quodsi ita est, uti dissimiles regiones ab inclinationibus |
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3447 caeli variis generibus sint comparatae, ut etiam naturae |
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3448 gentium disparibus animis et corporum figuris qualitatibusque nascerentur, non dubitemus aedificiorum quoque |
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3449 rationes ad nationum gentiumque proprietates apte distribuere, cum habeamus ab ipsa rerum natura sollertem |
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3450 et expeditam monstrationem. |
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3451 </s> |
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3452 </p><p type="main"><s> |
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3453 Quoad potui summa ratione proprietates locorum ab |
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3454 natura rerum dispositas animadvertere, exposui et, quemadmodum ad solis cursum et inclinationes caeli oporteat |
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3455 [ad gentium figuras] constituere aedificiorum qualitates, |
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3456 dixi; itaque nunc singulorum generum in aedificiis commensus symmetriarum et universos et separatos breviter |
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3457 explicabo. |
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3458 </s></p></subchap2> |
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3459 </subchap1> |
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3460 <subchap1> |
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3461 <subchap2><p type="main"><s> |
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3462 Nulla architecto maior cura esse debet, nisi uti proportionibus ratae partis habeant aedificia rationum exactiones. </s><s>cum ergo constituta symmetriarum ratio fuerit |
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3463 et commensus ratiocinationibus explicati, tum etiam acuminis est proprium providere ad naturam loci aut usum |
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3464 aut speciem <detractionibus aut> adiectionibus temperaturas <et> efficere, cum de symmetria sit detractum |
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3465 aut adiectum, uti id videatur recte esse formatum in aspectuque nihil desideretur. |
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3466 </s></p></subchap2> |
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3467 <subchap2><p type="main"><s> |
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3468 Alia enim ad manum species esse videtur, alia in excelso, non eadem in concluso, dissimilis in aperto, in quibus magni iudicii est opera, quid tandem sit faciundum. </s><s>non enim veros videtur habere |
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3469 visus effectus, sed fallitur saepius iudicio ab eo mens. </s><s>quemadmodum etiam in scaenis pictis videntur columnarum proiecturae, mutulorum ecphorae, signorum figurae |
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3470 prominentes, cum sit tabula sine dubio ad regulam plana. </s><s>similiter in navibus remi, cum sint sub aqua directi, tamen |
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3471 oculis infracti videntur; et quatenus eorum partes tangunt |
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3472 summam planitiem liquoris, apparent, uti sunt, directi, |
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3473 cum vero sub aqua sunt demissi, per naturae perlucidam |
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3474 raritatem remittunt enatantes ab suis corporibus fluentes |
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3475 imagines ad summam aquae planitiem, atque eae ibi commotae efficere videntur infractum remorum oculis aspectum. |
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3476 </s></p></subchap2> |
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3477 <subchap2><p type="main"><s> |
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3478 Hoc autem sive simulacrorum inpulsu seu radiorum |
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3479 ex oculis effusionibus, uti physicis placet, videmus, utraque ratione videtur ita esse, uti falsa iudicia oculorum habeat aspectus. |
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3480 </s></p></subchap2> |
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3481 <subchap2><p type="main"><s> |
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3482 Cum ergo, quae sunt vera, falsa videantur et nonnulla aliter quam sunt oculis probentur, non |
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3483 puto oportere esse dubium, quin ad locorum naturas aut |
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3484 necessitates detractiones aut adiectiones fieri debeant, |
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3485 sed ita, uti nihil in his operibus desideretur. </s><s>haec autem |
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3486 etiam ingeniorum acuminibus, non solum doctrinis efficiuntur. |
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3487 </s></p></subchap2> |
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3488 <subchap2><p type="main"><s> |
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3489 Igitur statuenda est primum ratio symmetriarum, |
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3490 [a qua sumatur sine dubitatione commutatio] deinde explicetur operis futuri locorum imum spatium longitudinis |
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3491 <et latitudinis>, cuius cum semel constituta fuerit magnitudo, sequatur eam proportionis ad decorem apparatio, |
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3492 uti non sit considerantibus aspectus eurythmiae dubius. </s><s>de qua, quibus rationibus efficiatur, est mihi pronuntiandum, primumque de cavis aedium, uti fieri debeant, dicam. |
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3493 </s></p></subchap2> |
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3494 </subchap1> |
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3495 <subchap1> |
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3496 <subchap2><p type="main"><s> |
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3497 Cava aedium quinque generibus sunt distincta, quorum |
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3498 ita figurae nominantur: tuscanicum, corinthium, tetrastylon, |
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3499 displuviatum, testudinatum. </s><s>tuscanica sunt, in quibus trabes in atrii latitudine traiectae habeant interpensiva et |
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3500 collicias ab angulis parietum ad angulos tignorum intercurrentes, item asseribus stillicidiorum in medium compluvium deiectus. </s><s>in corinthiis isdem rationibus trabes |
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3501 et compluvia conlocantur, sed a parietibus trabes recedentes in circumitionis circa columnas componuntur. </s><s>tetrastyla sunt, quae subiectis sub trabibus angularibus columnis et utilitatem trabibus et firmitatem praestant, |
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3502 quod neque ipsae magnum impetum coguntur habere neque ab interpensivis onerantur. |
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3503 </s></p></subchap2> |
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3504 <subchap2><p type="main"><s> |
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3505 Displuviata autem sunt, |
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3506 in quibus deliquiae arcam sustinentes stillicidia reiciunt. </s><s>haec hibernaculis maxime praestant utilitates, quod compluvia eorum erecta non obstant luminibus tricliniorum. |
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3507 sed ea habent in refectionibus molestiam magnam, quod |
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3508 circa parietes stillicidia defluentia, cum tument fistulae, |
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3509 quae non celeriter recipiunt ex canalibus aquam defluentem |
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3510 itaque redundantes restagnant, et intestinum et parietes in |
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3511 eis generibus aedificiorum corrumpunt. </s><s>testudinata vero |
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3512 ibi fiunt, ubi non sunt impetus magni et in contignationibus supra spatiosae redduntur habitationes. |
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3513 </s></p></subchap2> |
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3514 <subchap2><p type="main"><s> |
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3515 Atriorum vero latitudines ac longitudines tribus generibus formantur. </s><s>et primum genus distribuitur, uti, longitudo cum in quinque partes divisa fuerit, tres partes latitudini dentur; alterum, cum in tres partes dividatur, duae |
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3516 partes latitudini tribuantur; tertium, uti latitudo in quadrato paribus lateribus describatur inque eo quadrato diagonios linea ducatur, et quantum spatium habuerit ea linea diagonii, tanta longitudo atrio detur. |
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3517 </s></p></subchap2> |
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3518 <subchap2><p type="main"><s> |
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3519 Altitudo eorum, quanta longitudo fuerit quarta dempta, sub trabes extollatur; reliquum lacunariorum et arcae supra trabes |
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3520 spatio tribuatur. |
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3521 </s> |
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3522 </p><p type="main"><s> |
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3523 Alis dextra ac sinistra latitudinis <spatium>, cum sit atrii |
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3524 longitudo ab <emph type="smallcaps"/>XXX<emph.end/> pedibus ad pedes <emph type="smallcaps"/>XL<emph.end/>, ex tertia parte eius |
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3525 constituatur. </s><s>ab <emph type="smallcaps"/>XL<emph.end/> ad pedes <emph type="smallcaps"/>L<emph.end/> longitudo dividatur in |
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3526 partes tres <semis>, ex his una pars alis detur. </s><s>cum autem |
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3527 erit longitudo ab quinquaginta pedibus ad sexaginta, quarta |
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3528 pars longitudinis alis tribuatur. </s><s>a pedibus <emph type="smallcaps"/>LX<emph.end/> ad <emph type="smallcaps"/>LXXX<emph.end/> |
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3529 longitudo dividatur in partes quattuor et dimidiam, ex |
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3530 his una pars fiat alarum latitudo. </s><s>a pedibus octoginta |
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3531 ad pedes centum in quinque partes divisa longitudo iustam constituerit latitudinem alarum. </s><s>trabes earum liminares ita altae ponantur, ut altitudines latitudinibus sint |
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3532 aequales. </s><s>imagines cum suis ornamentis ad latitudinem |
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3533 alarum sint constitutae. |
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3534 </s></p></subchap2> |
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3535 <subchap2><p type="main"><s> |
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3536 Tablinum, si latitudo atrii erit pedum viginti, dempta |
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3537 tertia eius spatio reliquum tribuatur. </s><s>si erit ab pedibus |
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3538 <emph type="smallcaps"/>XXX<emph.end/> ad <emph type="smallcaps"/>XL<emph.end/>, ex atrii latitudine tablino dimidium tribuatur. </s><s>cum autem ab <emph type="smallcaps"/>XL<emph.end/> ad <emph type="smallcaps"/>LX<emph.end/>, latitudo dividatur in partes |
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3539 quinque, ex his duae tablino constituantur. </s><s>non enim |
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3540 atria minora maioribus easdem possunt habere symmetriarum rationes. </s><s>si enim maiorum symmetriis utemur |
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3541 in minoribus, neque tablina neque alae utilitatem poterunt |
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3542 habere, sin autem minorum in maioribus utemur, vasta |
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3543 et inmania in his ea erunt membra. </s><s>itaque generatim |
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3544 magnitudinum rationes exquisitas et utilitati et aspectui conscribendas putavi. |
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3545 </s></p></subchap2> |
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3546 <subchap2><p type="main"><s> |
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3547 Altitudo tablini ad trabem adiecta latitudinis octava constituatur. </s><s>lacunaria eius tertia latitudinis ad altitudinem adiecta extollantur. |
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3548 </s> |
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3549 </p><p type="main"><s> |
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3550 Fauces minoribus atriis e tablini latitudine dempta |
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3551 tertia, maioribus dimidia constituantur. |
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3552 </s> |
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3553 </p><p type="main"><s> |
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3554 Latitudines ostiorum ad altitudinem; si dorica erunt, uti |
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3555 dorica, si ionica erunt, uti ionica perficiantur, quemadmodum de thyromatis in quarto libro rationes symmetriarum sunt expositae. |
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3556 </s> |
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3557 </p><p type="main"><s> |
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3558 Compluvii lumen latum latitudinis atrii ne minus quarta, |
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3559 ne plus tertia parte relinquatur; longitudo, uti atrii pro |
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3560 rata parte fiat. |
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3561 </s></p></subchap2> |
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3562 <subchap2><p type="main"><s> |
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3563 Peristyla autem in transverso tertia parte longiora |
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3564 sint quam introrsus. </s><s>columnae tam altae quam porticus |
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3565 latae fuerint peristyliorum; intercolumnia ne minus trium, |
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3566 ne plus quattuor columnarum crassitudine inter se distent. </s><s>sin autem dorico more in peristylo columnae erunt faciundae, uti in quarto libro de doricis scripsi, ita moduli |
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3567 sumantur, et ad eos modulos triglyphorumque rationes |
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3568 disponantur. |
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3569 </s></p></subchap2> |
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3570 <subchap2><p type="main"><s> |
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3571 Tricliniorum quanta latitudo fuerit, bis tanta longitudo |
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3572 fieri debebit. </s><s>altitudines omnium conclaviorum, quae |
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3573 oblonga fuerint, sic habere debent rationem, uti longitudinis et latitudinis mensura componatur et ex ea summa |
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3574 dimidium sumatur, et quantum fuerit, tantum altitudini |
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3575 detur. </s><s>sin autem exhedrae aut oeci quadrati fuerint, latitudinis dimidia addita altitudines educantur. </s><s>pinacothecae |
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3576 uti exhedrae amplis magnitudinibus sunt constituendae. </s><s>oeci corinthii tetrastylique quique aegyptii vocantur latitudinis et longitudinis, uti supra tricliniorum symmetriae |
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3577 scriptae sunt, ita habeant rationem, sed propter columnarum interpositiones spatiosiores constituantur. |
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3578 </s></p></subchap2> |
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3579 <subchap2><p type="main"><s> |
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3580 Inter corinthios autem et aegyptios hoc erit discrimen. </s><s>corinthii simplices habent columnas aut in podio positas aut |
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3581 in imo; supraque habent epistylia et coronas aut ex intestino opere aut albario, praeterea supra coronas curva lacunaria ad circinum delumbata. </s><s>in aegyptiis autem supra |
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3582 columnas epistylia et ab epistyliis ad parietes, qui sunt |
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3583 circa, inponenda est contignatio, supra coaxationem pavimentum, subdiu ut sit circumitus. </s><s>deinde supra epistylium |
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3584 ad perpendiculum inferiorum columnarum inponendae |
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3585 sunt minores quarta parte columnae. </s><s>supra earum epistylia et ornamenta lacunariis ornantur, et inter columnas |
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3586 superiores fenestrae conlocantur; ita basilicarum ea similitudo , non corinthiorum tricliniorum videtur esse. |
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3587 </s></p></subchap2> |
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3588 <subchap2><p type="main"><s> |
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3589 Fiunt autem etiam non italicae consuetudinis oeci, quos Graeci |
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3590 cyzicenos appellant. </s><s>hi conlocantur spectantes ad septentrionem et maxime viridia prospicientes, valvasque habent |
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3591 in medio. </s><s>ipsi autem sunt ita longi et lati, uti duo triclinia cum circumitionibus inter se spectantia possint esse |
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3592 conlocata, habentque dextra ac sinistra lumina fenestrarum valvata, uti de lectis per spatia fenestrarum viridia prospiciantur. </s><s>altitudines eorum dimidia latitudinis |
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3593 addita constituuntur. |
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3594 </s></p></subchap2> |
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3595 <subchap2><p type="main"><s> |
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3596 In his aedificiorum generibus omnes sunt faciendae |
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3597 earum symmetriarum rationes, quae sine inpeditione loci |
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3598 fieri poterunt, luminaque, parietum altitudinibus si non |
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3599 obscurabuntur, faciliter erunt explicata; sin autem inpedientur ab angustiis aut aliis necessitatibus, tunc erit |
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3600 ut ingenio et acumine de symmetriis detractiones aut adiectiones fiant, uti non dissimiles veris symmetriis perficiantur venustates. |
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3601 </s></p></subchap2> |
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|
3602 </subchap1> |
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|
3603 <subchap1> |
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3604 <subchap2><p type="main"><s> |
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3605 Nunc explicabimus, quibus proprietatibus genera aedificiorum ad usum et caeli regiones aptas debeant spectare. </s><s>hiberna triclinia et balnearia ad occidentem hibernum |
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3606 spectent, ideo quod vespertino lumine opus est uti, praeterea quod etiam sol occidens adversus habens splendorem, |
|
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|
3607 calorem remittens efficit vespertino tempore regionem |
|
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3608 tepidiorem. </s><s>cubicula et bybliothecae ad orientem spectare debent; usus enim matutinum postulat lumen, item |
|
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3609 in bybliothecis libri non putrescent. </s><s>nam quaecumque ad |
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3610 meridiem et occidentem spectant, ab tineis et umore libri |
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3611 vitiantur, quod venti umidi advenientes procreant eas et |
|
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3612 alunt infundentesque umidos spiritus pallore volumina corrumpunt. |
|
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|
3613 </s></p></subchap2> |
|
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|
3614 <subchap2><p type="main"><s> |
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3615 Triclinia verna et autumnalia ad orientem; |
|
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3616 tum enim praetenta luminibus adversus solis impetus progrediens ad occidentem efficit ea temperata ad id tempus, quo his solitum est uti. </s><s>aestiva ad septentrionem, |
|
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3617 quod ea regio, [non] ut reliquae per solstitium propter |
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3618 calorem efficiuntur aestuosae, eo quod est aversa a solis |
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3619 cursu, semper refrigerata et salubritatem et voluptatem |
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3620 in usu praestat. </s><s>non minus pinacothecae et plumariorum |
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3621 textrina pictorumque officinae, uti colores eorum in opere |
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3622 propter constantiam luminis inmutata permaneant qualitate. |
|
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|
3623 </s></p></subchap2> |
|
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|
3624 </subchap1> |
|
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|
3625 <subchap1> |
|
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3626 <subchap2><p type="main"><s> |
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3627 Cum ad regiones caeli ita ea fuerint disposita, tunc |
|
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3628 etiam animadvertendum est, quibus rationibus privatis |
|
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|
3629 aedificiis propria loca patribus familiarum et quemadmodum communia cum extraneis aedificari debeant. </s><s>namque ex his quae propria sunt, in ea non est potestas |
|
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3630 omnibus intro eundi nisi invitatis, quemadmodum sunt |
|
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3631 cubicula, triclinia, balneae ceteraque, quae easdem habent |
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3632 usus rationes. </s><s>communia autem sunt, quibus etiam invocati suo iure de populo possunt venire, id est vestibula, |
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3633 cava aedium, peristylia, quaeque eundem habere possunt |
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3634 usum. </s><s>igitur îs, qui communi sunt fortuna, non necessaria |
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3635 magnifica vestibula nec tabulina neque atria, quod aliis officia praestant ambiundo neque ab aliis ambiuntur. |
|
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|
3636 </s></p></subchap2> |
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|
3637 <subchap2><p type="main"><s> |
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3638 Qui autem fructibus rusticis serviunt, in eorum vestibulis |
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3639 stabula, tabernae, in aedibus cryptae, horrea, apothecae |
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3640 ceteraque, quae ad fructus servandos magis quam ad elegantiae decorem possunt esse, ita sunt facienda. </s><s>item |
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|
3641 feneratoribus et publicanis commodiora et speciosiora et |
|
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|
3642 ab insidiis tuta, forensibus autem et disertis elegantiora |
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3643 et spatiosiora ad conventus excipiundos, nobilibus vero, |
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|
3644 qui honores magistratusque gerundo praestare debent |
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3645 officia civibus, faciunda sunt vestibula regalia alta, atria |
|
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3646 et peristylia amplissima, silvae ambulationesque laxiores |
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|
3647 ad decorem maiestatis perfectae; praeterea bybliothecas, |
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|
3648 pinacothecas, basilicas non dissimili modo quam publicorum operum magnificentia <habeant> comparatas, quod |
|
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|
3649 in domibus eorum saepius et publica consilia et privata iudicia arbitriaque conficiuntur. |
|
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|
3650 </s></p></subchap2> |
|
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|
3651 <subchap2><p type="main"><s> |
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|
3652 Ergo si his rationibus ad singulorum generum personas, uti in libro primo de |
|
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|
3653 decore est scriptum, ita disposita erunt aedificia, non erit |
|
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|
3654 quod reprehendatur; habebunt enim ad omnes res commodas et emendatas explicationes. </s><s>earum autem rerum |
|
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|
3655 non solum erunt in urbe aedificiorum rationes, sed etiam |
|
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|
3656 ruri, praeterquam quod in urbe atria proxima ianuis |
|
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|
3657 solent esse, ruri ab pseudourbanis statim peristylia, deinde |
|
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|
3658 tunc atria habentia circum porticus pavimentatas spectantes ad palaestras et ambulationes. |
|
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|
3659 </s> |
|
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|
3660 </p><p type="main"><s> |
|
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|
3661 Quoad potui urbanas rationes aedificiorum summatim |
|
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|
3662 perscribere, proposui; nunc rusticorum expeditionum <apparationes>, ut sint ad usum commodae quibusque rationibus conlocare oporteat eas, dicam. |
|
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|
3663 </s></p></subchap2> |
|
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|
3664 </subchap1> |
|
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|
3665 <subchap1> |
|
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|
3666 <subchap2><p type="main"><s> |
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|
3667 Primum de salubritatibus, uti in primo volumine de |
|
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|
3668 moenibus conlocandis scriptum est, regiones aspiciantur |
|
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|
3669 et ita villae conlocentur. </s><s>magnitudines earum ad modum |
|
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|
3670 agri copiasque fructuum comparentur. </s><s>chortes magnitudinesque earum ad pecorum numerum, atque quot iuga |
|
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|
3671 boum opus fuerit ibi versari, ita finiantur. </s><s>in chorte |
|
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|
3672 culina quam calidissimo loco designetur. </s><s>coniuncta autem |
|
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|
3673 habeat bubilia, quorum praesepia ad focum et orientis |
|
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|
3674 caeli regionem spectent, ideo quod boves lumen et ignem |
|
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|
3675 spectando horridi non fiunt; item agricolae religione |
|
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|
3676 inpediti non putant oportere aliam regionem caeli boves spectare nisi ortum solis. |
|
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|
3677 </s></p></subchap2> |
|
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|
3678 <subchap2><p type="main"><s> |
|
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|
3679 Bubilium autem debent esse |
|
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|
3680 latitudines nec minores pedum denûm nec maiores quindenûm; longitudo, uti singula iuga ne minus pedes occupent |
|
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|
3681 septenos. </s><s>balnearia item coniuncta sint culinae; ita enim |
|
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|
3682 lavationi rusticae ministratio non erit longe. </s><s>torcular |
|
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|
3683 item proximum sit culinae; ita enim ad molarios fructus |
|
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|
3684 commoda erit ministratio. </s><s>habeatque coniunctam vinariam |
|
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|
3685 cellam habentem ab septentrione lumina fenestrarum; cum |
|
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3686 enim alia parte habuerit, qua sol calfacere possit, vinum, |
|
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|
3687 quod erit in ea cella, confusum ab calore efficietur inbecillum. |
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|
3688 </s></p></subchap2> |
|
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|
3689 <subchap2><p type="main"><s> |
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3690 Olearia autem ita est conlocanda, ut habeat a |
|
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3691 meridie calidisque regionibus lumen; non enim debet oleum |
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|
3692 congelari, sed tepore caloris extenuari. </s><s>magnitudines autem |
|
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3693 earum ad fructuum rationem et numerum doliorum sunt |
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3694 faciundae, quae, cum sint cullearia, per medium occupare |
|
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3695 debent pedes quaternos. </s><s>ipsum autem torcular, si non |
|
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3696 cocleis torquetur sed vectibus et prelo premitur, ne minus |
|
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3697 longum pedes <emph type="smallcaps"/>XL<emph.end/> constituatur; ita enim erit vectiario |
|
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3698 spatium expeditum. </s><s>latitudo eius ne minus pedum senûm |
|
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3699 denûm; nam sic erit ad prelum opus facientibus libera |
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|
3700 versatio et expedita. </s><s>sin autem duobus prelis loco opus fuerit, quattuor et viginti pedes latitudini dentur. |
|
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|
3701 </s></p></subchap2> |
|
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|
3702 <subchap2><p type="main"><s> |
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3703 Ovilia et caprilia ita sunt magna facienda, uti singula pecora |
|
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3704 areae ne minus pedes quaternos et semipedem, ne plus |
|
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|
3705 senos possint habere. </s><s>granaria sublimata et ad septentrionem aut aquilonem spectantia disponantur; ita enim |
|
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|
3706 frumenta non poterint cito concalescere, sed ab flatu |
|
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|
3707 refrigerata diu servantur. </s><s>namque ceterae regiones procreant curculionem et reliquas bestiolas, quae frumentis |
|
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|
3708 solent nocere. </s><s>equilibus, quae maxime in villa loca calidissima fuerint, constituantur, dum ne ad focum spectent; |
|
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3709 cum enim iumenta proxime ignem stabulantur, horrida fiunt. |
|
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|
3710 </s></p></subchap2> |
|
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|
3711 <subchap2><p type="main"><s> |
|
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|
3712 Item non sunt inutilia praesepia, quae conlocantur |
|
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|
3713 extra culinam in aperto contra orientem; cum enim in |
|
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|
3714 hieme anni sereno caelo in ea traducuntur matutino boves, |
|
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|
3715 ad solem pabulum capientes fiunt nitidiores. </s><s>horrea, fenilia, |
|
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|
3716 farraria, pistrina extra villam facienda videntur, ut ab |
|
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|
3717 ignis periculo sint villae tutiores. </s><s>si quid delicatius in |
|
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3718 villis faciundum fuerit, ex symmetriis, quae in urbanis |
|
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3719 supra scriptis sunt constitutae, ita struantur, uti sine inpeditione rusticae utilitatis aedificentur. |
|
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|
3720 </s></p></subchap2> |
|
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|
3721 <subchap2><p type="main"><s> |
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|
3722 Omniaque aedificia ut luminosa sint, oportet curari; sed quae sunt ad villas, |
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|
3723 faciliora videntur esse, ideo quod paries nullius vicini |
|
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|
3724 potest obstare, in urbe autem aut communium parietum |
|
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|
3725 altitudines aut angustiae loci inpediundo faciunt obscuritates. </s><s>itaque de ea re sic erit experiundum. </s><s>ex qua |
|
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3726 parte lumen oporteat sumere, linea tendatur ab altitudine |
|
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|
3727 parietis, qui videtur obstare, ad eum locum, quo oporteat |
|
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|
3728 inmittere, et si ab ea linea, in altitudinem cum prospiciatur, poterit spatium puri caeli amplum videri, in eo loco lumen erit sine inpeditione. |
|
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|
3729 </s></p></subchap2> |
|
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|
3730 <subchap2><p type="main"><s> |
|
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|
3731 Lumen erit sine inpeditione. </s><s>sin autem officient trabes |
|
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|
3732 ea lumina aut contignationes, de superioribus partibus |
|
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|
3733 aperiatur et ita inmittatur. </s><s>et ad summam ita est gubernandum, ut, ex quibuscumque partibus caelum prospici |
|
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|
3734 poterit, per eas fenestrarum loca relinquantur; sic enim |
|
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|
3735 lucida erunt aedificia. </s><s>cum autem in tricliniis ceterisque conclavibus maximus est usus luminum, tum etiam |
|
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|
3736 in itineribus, clivis, scalis, quod in his saepius alii aliis |
|
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|
3737 obviam venientes ferentes sarcinas solent incurrere. |
|
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|
3738 </s> |
|
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|
3739 </p> |
|
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|
3740 <p type="main"><s> |
|
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|
3741 Quoad potui, distributiones operum nostratium, ut sint |
|
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|
3742 aedificatoribus non obscurae, explicui; nunc etiam, quemadmodum Graecorum consuetudinibus aedificia distribuantur, uti non sint ignota, summatim exponam. |
|
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|
3743 </s></p></subchap2> |
|
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|
3744 </subchap1> |
|
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|
3745 <subchap1> |
|
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|
3746 <subchap2><p type="main"><s> |
|
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|
3747 Atriis Graeci quia non utuntur, neque aedificant, sed |
|
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|
3748 ab ianua introeuntibus itinera faciunt latitudinibus non |
|
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|
3749 spatiosis, et ex una parte equilia, ex altera ostiariis cellas, |
|
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|
3750 statimque ianuae interiores finiuntur. </s><s>hic autem locus inter |
|
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|
3751 duas ianuas graece <foreign lang="greek">qurwrei=on</foreign> appellatur. </s><s>deinde est introitus in peristylon. </s><s>id peristylum in tribus partibus habet porticus inque parte, quae spectat ad meridiem, |
|
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|
3752 duas antas inter se spatio amplo distantes, in quibus trabes invehuntur, et quantum inter antas distat, ex eo tertia |
|
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|
3753 dempta spatium datur introrsus. </s><s>hic locus apud non nullos prostas, apud alios pastas nominatur. |
|
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|
3754 </s></p></subchap2> |
|
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|
3755 <subchap2><p type="main"><s> |
|
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|
3756 In his locis introrsus constituuntur oeci magni, in quibus matres familiarum cum lanificis habent sessionem. </s><s>in prostadis autem |
|
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|
3757 dextra ac sinistra cubicula sunt conlocata, quorum unum |
|
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|
3758 thalamos, alterum amphithalamos dicitur. </s><s>circum autem |
|
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|
3759 in porticibus triclinia cotidiana, cubicula, etiam cellae |
|
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|
3760 familiaricae constituuntur. </s><s>haec pars aedificii gynaeconitis appellatur. |
|
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|
3761 </s></p></subchap2> |
|
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|
3762 <subchap2><p type="main"><s> |
|
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|
3763 Coniunguntur autem his domus ampliores habentes lautiora peristylia, in quibus pares sunt quattuor |
|
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|
3764 porticus altitudinibus, aut una, quae ad meridiem spectat, |
|
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3765 excelsioribus columnis constituitur. </s><s>id autem peristylum, |
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3766 quod unam altiorem habet porticum, rhodiacum dicitur. </s><s>habent autem eae domus vestibula egregia et ianuas proprias cum dignitate porticusque peristyliorum albariis et |
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3767 tectoriis et ex intestino opere lacunariis ornatas, et in |
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3768 porticibus, quae ad septentrionem spectant, triclinia cyzicena et pinacothecas, ad orientem autem bybliothecas, exhedras ad occidentem, ad meridiem vero spectantes oecos |
|
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|
3769 quadratos ita ampla magnitudine, uti faciliter in eo quattuor tricliniis stratis ministrationum ludorumque operis locus possit esse spatiosus. |
|
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3770 </s></p></subchap2> |
|
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|
3771 <subchap2><p type="main"><s> |
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3772 In his oecis fiunt virilia convivia; non enim fuerat institutum matres familiarum eorum |
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3773 moribus accumbere. </s><s>haec autem peristylia domus andronitides dicuntur, quod in his viri sine interpellationibus |
|
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3774 mulierum versantur. </s><s>praeterea dextra ac sinistra domunculae constituuntur habentes proprias ianuas, triclinia et |
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3775 cubicula commoda, uti hospites advenientes non in peristylia sed in ea hospitalia recipiantur. </s><s>nam cum fuerunt |
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3776 Graeci delicatiores et fortuna opulentiores, hospitibus |
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3777 advenientibus instruebant triclinia, cubicula, cum penu |
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3778 cellas, primoque die ad cenam invitabant, postero mittebant pullos, ova, holera, poma reliquasque res agrestes. </s><s>ideo pictores ea, quae mittebantur hospitibus, picturis |
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3779 imitantes xenia appellaverunt. </s><s>ita patres familiarum in |
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3780 hospitio non videbantur esse peregre, habentes secretam in his hospitalibus libertatem. |
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|
3781 </s></p></subchap2> |
|
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3782 <subchap2><p type="main"><s> |
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3783 Inter duo autem peristylia et hospitalia itinera sunt, quae mesauloe dicuntur, quod |
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3784 inter duas aulas media sunt interposita; nostri autem eas |
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|
3785 andronas appellant. |
|
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|
3786 </s> |
|
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|
3787 </p><p type="main"><s> |
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3788 Sed hoc valde est mirandum, nec enim graece nec |
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|
3789 latine potest id convenire. </s><s>Graeci enim <foreign lang="greek">a)ndrw=nas</foreign> appellant oecus, ubi convivia virilia solent esse, quod eo mulieres non accedunt. </s><s>item aliae res sunt similes, uti xystus, |
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3790 prothyrum, telamones et nonnulla alia eius modi. <foreign lang="greek">custo/s</foreign> |
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|
3791 enim est graeca appellatione porticus ampla latitudine, |
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|
3792 in qua athletae per hiberna tempora exercentur; nostri |
|
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|
3793 autem hypaethrus ambulationes xysta appellant, quas |
|
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|
3794 Graeci <foreign lang="greek">paradromi/das</foreign> dicunt. </s><s>item <foreign lang="greek">pro/qura</foreign> graece dicuntur, quae sunt ante ianuas vestibula, nos autem appellamus prothyra, quae graece dicuntur <foreign lang="greek">dia/qura</foreign>. |
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|
3795 </s></p></subchap2> |
|
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|
3796 <subchap2><p type="main"><s> |
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|
3797 Item si qua virili figura signa mutulos aut coronas sustinent, |
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|
3798 nostri telamones appellant, cuius rationes, quid ita aut |
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|
3799 quare dicantur, ex historiis non inveniuntur, Graeci vero |
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|
3800 eos <foreign lang="greek">a)/tlantas</foreign> vocitant. </s><s>Atlas enim formatur historia sustinens mundum, ideo quod is primum cursum solis et lunae siderumque omnium versationum rationes vigore animi |
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|
3801 sollertiaque curavit hominibus tradenda, eaque re a pictoribus et statuariis deformatur pro eo beneficio sustinens |
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|
3802 mundum, filiaeque eius Atlantides, quas nos vergilias, |
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|
3803 Graeci autem <foreign lang="greek">*pleia/das</foreign> nominant, cum sideribus in mundo sunt dedicatae. |
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|
3804 </s></p></subchap2> |
|
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|
3805 <subchap2><p type="main"><s> |
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|
3806 Nec tamen ego, ut mutetur consuetudo nominationum aut sermonis, ideo haec proposui, sed uti |
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|
3807 non sint ignota philologis, exponenda iudicavi. |
|
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|
3808 </s> |
|
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|
3809 </p><p type="main"><s> |
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|
3810 Quibus consuetudinibus aedificia italico more et Graecorum institutis conformantur, exposui et de symmetriis |
|
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|
3811 singulorum generum proportiones perscripsi. </s><s>ergo quoniam |
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|
3812 de venustate decoreque ante est conscriptum, nunc exponemus de firmitate, quemadmodum ea sine vitiis permanentia ad vetustatem conlocentur. |
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|
3813 </s></p></subchap2> |
|
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|
3814 </subchap1> |
|
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|
3815 <subchap1> |
|
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|
3816 <subchap2><p type="main"><s> |
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|
3817 Aedificia quae plano pede instituuntur, si fundamenta |
|
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|
3818 eorum facta fuerint ita, ut in prioribus libris de muro et |
|
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|
3819 theatris a nobis est expositum, ad vetustatem ea erunt |
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|
3820 sine dubitatione firma. </s><s>sin autem hypogea concamarationesque instituentur, fundationes eorum fieri debent crassiores, quam quae in superioribus aedificiis structurae sunt |
|
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|
3821 futurae. </s><s>eorumque parietes, pilae, columnae ad perpendiculum inferiorum medio conlocentur, uti solido respondeant; nam si in pendentibus onera fuerint parietum aut |
|
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|
3822 columnarum, non poterint habere perpetuam firmitatem. |
|
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|
3823 </s></p></subchap2> |
|
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|
3824 <subchap2><p type="main"><s> |
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|
3825 Praeterea inter lumina secundum pilas et antas postes si |
|
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|
3826 supponentur, erunt non vitiosae. </s><s>limina enim et trabes |
|
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|
3827 structuris cum sint oneratae, medio spatio pandantes frangunt sub lysi structuras; cum autem subiecti fuerint et |
|
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|
3828 subcuneati postes, non patiuntur insidere trabes neque eas laedere. |
|
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|
3829 </s></p></subchap2> |
|
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|
3830 <subchap2><p type="main"><s> |
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|
3831 Item administrandum est, uti levent onus parietum fornicationes cuneorum divisionibus et ad centrum respondentes earum conclusurae. </s><s>cum enim extra trabes aut liminum capita arcus cuneis erunt conclusae, primum non pandabit materies levata onere; deinde, si |
|
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|
3832 quod vetustate vitium ceperit, sine molitione fulturarum faciliter mutabitur. |
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|
3833 </s></p></subchap2> |
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|
3834 <subchap2><p type="main"><s> |
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|
3835 Itemque, quae pilatim aguntur aedificia |
|
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|
3836 et cuneorum divisionibus coagmentis ad centrum respondentibus fornices concluduntur, extremae pilae in his latiores spatio sunt faciundae, uti vires eae habentes resistere possint, cum cunei ab oneribus parietum pressi per |
|
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|
3837 coagmenta ad centrum se prementes extruderent incumbas. </s><s>itaque si angulares pilae erunt spatiosis magnitudinibus, |
|
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|
3838 continendo cuneos firmitatem operibus praestabunt. |
|
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|
3839 </s></p></subchap2> |
|
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|
3840 <subchap2><p type="main"><s> |
|
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|
3841 Cum in his rebus animadversum fuerit, uti ea diligentia |
|
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|
3842 in his adhibeatur, non minus etiam observandum est, uti |
|
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|
3843 omnes structurae perpendiculo respondeant neque habeant |
|
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|
3844 in ulla parte proclinationes. </s><s>maxima autem esse debet |
|
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|
3845 cura substructionum, quod in his infinita vitia solet facere |
|
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|
3846 terrae congestio. </s><s>ea enim non potest esse semper uno |
|
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|
3847 pondere, quo solet esse per aestatem, sed hibernis temporibus recipiendo ex imbribus aquae multitudinem crescens et pondere et amplitudine disrumpit et extrudit structurarum saeptiones. |
|
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|
3848 </s></p></subchap2> |
|
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|
3849 <subchap2><p type="main"><s> |
|
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|
3850 Itaque, ut huic vitio medeatur, sic |
|
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|
3851 erit faciundum, ut primum pro amplitudine congestionis |
|
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|
3852 crassitudo structurae constituatur. </s><s>deinde in frontibus |
|
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|
3853 anterides, sive erismae sunt, una struantur, eaeque inter |
|
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|
3854 se distent tanto spatio, quanta altitudo substructionis est |
|
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|
3855 futura, crassitudine eadem, qua substructio; procurrat |
|
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|
3856 autem ab imo, pro quam crassitudo constituta fuerit substructionis, deinde contrahatur gradatim, ita uti summam habeat prominentiam, quanta operis est crassitudo. |
|
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|
3857 </s></p></subchap2> |
|
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|
3858 <subchap2><p type="main"><s> |
|
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|
3859 Praeterea introrsus contra terrenum coniuncta muro serratim |
|
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|
3860 struantur, uti singuli dentes ab muro tantum distent, |
|
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|
3861 quanta altitudo futura erit substructionis; crassitudines |
|
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|
3862 autem habeant dentium structurae uti muri. </s><s>item in extremis angulis cum recessum fuerit ab interiore angulo |
|
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|
3863 spatio altitudinis substructionis, in utramque partem signetur, et ab his signis diagonios structura conlocetur, et ab |
|
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|
3864 ea media altera coniuncta cum angulo muri. </s><s>ita dentes |
|
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|
3865 et diagonioe structurae non patientur tota vi premere |
|
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|
3866 murum, sed dissipabunt retinendo impetum congestionis. |
|
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|
3867 </s></p></subchap2> |
|
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|
3868 <subchap2><p type="main"><s> |
|
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|
3869 Quemadmodum sine vitiis opera constitui oporteat et |
|
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|
3870 uti caveatur incipientibus, exposui. </s><s>namque de tegulis |
|
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|
3871 aut tignis aut asseribus mutandis non est eadem cura |
|
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|
3872 quemadmodum de his, quod ea, quamvis sunt vitiosa, faciliter mutantur. </s><s>itaque nec, solida quia non putantur esse, |
|
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|
3873 quibus rationibus haec poterint esse firma et quemadmodum instituantur, exposui. |
|
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|
3874 </s></p></subchap2> |
|
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|
3875 <subchap2><p type="main"><s> |
|
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|
3876 Quibus autem copiarum generibus oporteat uti, non est architecti potestas, ideo quod |
|
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|
3877 non in omnibus locis omnia genera copiarum nascuntur, |
|
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|
3878 ut in primo volumine est expositum; praeterea in domini |
|
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|
3879 est potestate, utrum latericio an caementicio an saxo |
|
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|
3880 quadrato velit aedificare. </s><s>itaque omnium operum probationes tripertito considerantur, id est fabrili subtilitate |
|
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|
3881 et magnificentia et dispositione. </s><s>cum magnificenter opus |
|
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|
3882 perfectum aspicietur, a domini potestate inpensae laudabuntur; cum subtiliter, officinatoris probabitur exactio; |
|
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|
3883 cum vero venuste proportionibus et symmetriis habuerit auctoritatem, tunc fuerit gloria architecti. |
|
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|
3884 </s></p></subchap2> |
|
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|
3885 <subchap2><p type="main"><s> |
|
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|
3886 Haec autem recte constituuntur, cum is et a fabris et ab idiotis patiatur accipere se consilia. </s><s>namque omnes homines, non |
|
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|
3887 solum architecti, quod est bonum, possunt probare, sed |
|
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|
3888 inter idiotas et eos hoc est discrimen, quod idiota, nisi |
|
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|
3889 factum viderit, non potest scire, quid sit futurum, architectus autem, simul animo constituerit, antequam inceperit, |
|
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|
3890 et venustate et usu et decore quale sit futurum, habet |
|
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|
3891 definitum. |
|
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|
3892 </s> |
|
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|
3893 </p><p type="main"><s> |
|
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|
3894 Quas res privatis aedificiis utiles putavi et quemadmodum sint faciundae, quam apertissime potui, perscripsi; |
|
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|
3895 de expolitionibus autem eorum, uti sint elegantes et sine |
|
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|
3896 vitiis ad vetustatem, insequenti volumine exponam. |
|
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|
3897 </s></p></subchap2> |
|
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|
3898 </subchap1> |
|
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|
3899 </chap> |
|
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|
3900 <chap> |
|
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|
3901 <!-- 7,t,1,1 --> |
|
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|
3902 <p type="head"><s>LIBER SEPTIMUS</s></p> |
|
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|
3903 <subchap1> |
|
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|
3904 <subchap2><p type="main"><s> |
|
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|
3905 Maiores cum sapienter tum etiam utiliter instituerunt, |
|
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|
3906 per commentariorum relationes cogitata tradere posteris, |
|
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|
3907 ut ea non interirent, sed singulis aetatibus crescentia voluminibus edita gradatim pervenirent vetustatibus ad summam doctrinarum subtilitatem. </s><s>itaque non mediocres sed |
|
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|
3908 infinitae sunt his agendae gratiae, quod non invidiose silentes praetermiserunt, sed omnium generum sensus conscriptionibus memoriae tradendos curaverunt. |
|
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|
3909 </s></p></subchap2> |
|
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|
3910 <subchap2><p type="main"><s> |
|
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|
3911 Namque si non ita fecissent, non potuissemus scire, quae res in Troia |
|
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|
3912 fuissent gestae, nec quid Thales, Democritus, Anaxagoras, |
|
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|
3913 Xenophanes reliquique physici sensissent de rerum natura, |
|
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|
3914 quasque Socrates, Platon, Aristoteles, Zenon, Epicurus aliique philosophi hominibus agendae vitae terminationes |
|
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|
3915 finissent, seu Croesus, Alexander, Darius ceterique reges |
|
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|
3916 quas res aut quibus rationibus gessissent, fuissent notae, |
|
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|
3917 nisi maiores praeceptorum comparationibus omnium memoriae ad posteritatem commentariis extulissent. |
|
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|
3918 </s></p></subchap2> |
|
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|
3919 <subchap2><p type="main"><s> |
|
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|
3920 Itaque quemadmodum his gratiae sunt agendae, contra, qui eorum |
|
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|
3921 scripta furantes pro suis praedicant, sunt vituperandi, quique non propriis cogitationibus scriptorum nituntur, sed |
|
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|
3922 invidis moribus aliena violantes gloriantur, non modo sunt |
|
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3923 reprehendendi, sed etiam, quia impio more vixerunt, poena |
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3924 condemnandi. </s><s>nec tamen haec res non vindicatae curiosius ab antiquis esse memorantur. </s><s>quorum exitus iudiciorum qui fuerint, non est alienum, quemadmodum sint nobis traditi, explicare. |
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3925 </s></p></subchap2> |
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3926 <subchap2><p type="main"><s> |
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3927 Reges Attalici magnis philologiae dulcedinibus inducti cum egregiam bybliothecam Pergami |
|
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3928 ad communem delectationem instituissent, tunc item Ptolomaeus infinito zelo cupiditatisque incitatus studio non |
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3929 minoribus industriis ad eundem modum contenderat Alexandriae comparare. </s><s>cum autem summa diligentia perfecisset, |
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3930 non putavit id satis esse, nisi propagationibus inseminando |
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3931 curaret augendam. </s><s>itaque Musis et Apollini ludos dedicavit et, quemadmodum athletarum, sic communium scriptorum victoribus praemia et honores constituit. |
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3932 </s></p></subchap2> |
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3933 <subchap2><p type="main"><s> |
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3934 His ita institutis, cum ludi adessent, iudices litterati, qui ea probarent, erant legendi. </s><s>rex, cum iam sex civitatis lectos |
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3935 habuisset nec tam cito septumum idoneum inveniret, retulit |
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3936 ad eos, qui supra bybliothecam fuerunt, et quaesiit, si |
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3937 quem novissent ad id expeditum. </s><s>tunc ei dixerunt esse |
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3938 quendam Aristophanen, qui summo studio summaque diligentia cotidie omnes libros ex ordine perlegeret. </s><s>itaque |
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3939 conventu ludorum, cum secretae sedes iudicibus essent |
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3940 distributae, cum ceteris Aristophanes citatus, quemadmodum fuerat locus ei designatus, sedit. |
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3941 </s></p></subchap2> |
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3942 <subchap2><p type="main"><s> |
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3943 Primo poetarum ordine ad certationem inducto cum recitarentur scripta, |
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3944 populus cunctus significando monebat iudices, quod probarent. </s><s>itaque, cum ab singulis sententiae sunt rogatae, |
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3945 sex una dixerunt et, quem maxime animadverterunt multitudini placuisse, ei primum praemium, insequenti secundum tribuerunt. </s><s>Aristophanes vero, cum ab eo sententia |
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3946 rogaretur, eum primum renuntiari iussit, qui minime populo placuisset. |
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3947 </s></p></subchap2> |
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3948 <subchap2><p type="main"><s> |
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3949 Cum autem rex et universi vehementer indignarentur, surrexit et rogando impetravit, ut paterentur |
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3950 se dicere. </s><s>itaque silentio facto docuit unum ex his eum |
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3951 esse poetam, ceteros aliena recitavisse; oportere autem |
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3952 iudicantes non furta sed scripta probare. </s><s>admirante populo et rege dubitante, fretus memoriae certis armariis |
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3953 infinita volumina eduxit et ea cum recitatis conferendo |
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3954 coegit ipsos furatos de se confiteri. </s><s>itaque rex iussit cum |
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3955 his agi furti condemnatosque cum ignominia dimisit, Aristophanen vero amplissimis muneribus ornavit et supra bybliothecam constituit. |
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3956 </s></p></subchap2> |
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3957 <subchap2><p type="main"><s> |
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3958 Insequentibus annis a Macedonia Zoilus, qui adoptavit cognomen, ut Homeromastix vocitaretur, |
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3959 Alexandriam venit suaque scripta contra Iliadem et Odyssean comparata regi recitavit. </s><s>Ptolomaeus vero, cum |
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3960 animadvertisset poetarum parentem philologiaeque omnis |
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3961 ducem absentem vexari et, cuius ab cunctis gentibus scripta |
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3962 suspicerentur, ab eo vituperari, indignans nullum ei dedit |
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3963 responsum. </s><s>Zoilus autem, cum diutius in regno fuisset, |
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3964 inopia pressus summisit ad regem postulans, ut aliquid sibi tribueretur. |
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3965 </s></p></subchap2> |
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3966 <subchap2><p type="main"><s> |
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3967 Rex vero respondisse dicitur Homerum, qui ante annos mille decessisset, aevo perpetuo multa |
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3968 milia hominum pascere, item debere, qui meliore ingenio |
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3969 se profiteretur, non modo unum sed etiam plures alere |
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3970 posse. </s><s>et ad summam mors eius ut parricidii damnati |
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3971 varie memoratur. </s><s>alii enim scripserunt a Philadelpho |
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3972 esse in crucem fixum, nonnulli Chii lapides esse coniectos, alii Zmyrnae vivum in pyram coniectum. </s><s>quorum |
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3973 utrum ei acciderit, merenti digna constitit poena; non |
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3974 enim aliter videtur promereri, qui citat eos, quorum responsum, quid senserint scribentes, non potest coram indicari. |
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3975 </s></p></subchap2> |
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3976 <subchap2><p type="main"><s> |
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3977 Ego vero, Caesar, neque alienis indicibus mutatis interposito nomine meo id profero corpus neque ullius cogitata vituperans institui ex eo me adprobare, sed omnibus scriptoribus infinitas ago gratias, quod egregiis ingeniorum |
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3978 sollertiis ex aevo conlatis abundantes alius alio genere |
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3979 copias praeparaverunt, unde nos uti fontibus haurientes |
|
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|
3980 aquam et ad propria proposita traducentes facundiores |
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3981 et expeditiores habemus ad scribendum facultates talibusque confidentes auctoribus audemus institutiones novas |
|
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|
3982 comparare. |
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3983 </s></p></subchap2> |
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3984 <subchap2><p type="main"><s> |
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3985 Igitur tales ingressus eorum quia ad propositi mei |
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3986 rationes animadverti praeparatos, inde sumendo progredi |
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|
3987 coepi. </s><s>namque primum Agatharchus Athenis Aeschylo |
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3988 docente tragoediam scaenam fecit et de ea commentarium |
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3989 reliquit. </s><s>ex eo moniti Democritus et Anaxagoras de eadem |
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3990 re scripserunt, quemadmodum oporteat ad aciem oculorum |
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3991 radiorumque extentionem certo loco centro constituto |
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3992 lineas ratione naturali respondere, uti de certa re certae |
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3993 imagines aedificiorum in scaenarum picturis redderent |
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3994 speciem et, quae in directis planisque frontibus sint figurata, alia abscedentia, alia prominentia esse videantur. |
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3995 </s></p></subchap2> |
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|
3996 <subchap2><p type="main"><s> |
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3997 Postea Silenus de symmetriis doricorum edidit volumen; |
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3998 de aede Iunonis, quae est Sami dorica, Theodorus; ionice |
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3999 Ephesi quae est Dianae, Chersiphron et Metagenes; de |
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|
4000 fano Minervae, quod est Priene ionicum, Pytheos; item |
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4001 de aede Minervae, dorice quae est Athenis in arce, Ictinos |
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4002 et Carpion; Theodorus Phocaeus de tholo, qui est Delphis; |
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4003 Philo de aedium sacrarum symmetriis et de armamentario, |
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4004 quod fuerat Piraei portu; Hermogenes de aede Dianae, |
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4005 ionice quae est Magnesia pseudodipteros, et Liberi Patris |
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4006 Teo monopteros; item Arcesius de symmetriis corinthiis |
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4007 et ionico Trallibus Aesculapio, quod etiam ipse sua manu dicitur fecisse; de Mausoleo Satyrus et Pytheos. |
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4008 </s></p></subchap2> |
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4009 <subchap2><p type="main"><s> |
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4010 Quibus vero felicitas maximum summumque contulit munus; quorum enim artes aevo perpetuo nobilissimas laudes et sempiterno florentes habere iudicantur, ei cogitatis egregias |
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4011 operas praestiterunt. </s><s>namque singulis frontibus singuli |
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4012 artifices sumpserunt certatim partes ad ornandum et probandum Leochares, Bryaxis, Scopas, Praxiteles, nonnulli |
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4013 etiam putant Timotheum, quorum artis eminens excellentia |
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4014 coegit ad septem spectaculorum eius operis pervenire famam. |
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4015 </s></p></subchap2> |
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4016 <subchap2><p type="main"><s> |
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4017 Praeterea minus nobiles multi praecepta symmetriarum conscripserunt, uti Nexaris, Theocydes, Demophilos, |
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4018 Pollis, Leonidas, Silanion, Melampus, Sarnacus, Euphranor. </s><s>non minus de machinationibus, uti Diades, Archytas, Archimedes, Ctesibios, Nymphodorus, Philo Byzantius, Diphilos, Democles, Charias, Polyidos, Pyrros, Agesistratos. </s><s>quorum ex commentariis, quae utilia esse his rebus animadverti, collecta in unum coegi corpus, et ideo maxime, |
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4019 quod animadverti in ea re ab Graecis volumina plura |
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4020 edita, ab nostris oppido quam pauca. </s><s>Fuficius enim nimirum de his rebus primus instituit edere volumen, item |
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4021 Terentius Varro de novem disciplinis unum de architectura, P. </s><s>Septimius duo. |
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4022 </s></p></subchap2> |
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4023 <subchap2><p type="main"><s> |
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4024 Amplius vero in id genus scripturae adhuc nemo incubuisse videtur, cum fuissent et antiqui |
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4025 cives magni architecti, qui potuissent non minus eleganter |
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4026 scripta comparare. </s><s>namque Athenis Antistates et Callaeschros et Antimachides et Porinos architecti Pisistrato |
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4027 aedem Iovi Olympio facienti fundamenta constituerunt, |
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4028 post mortem autem eius propter interpellationem reipublicae incepta reliquerunt. </s><s>itaque circiter annis quadringentis post Antiochus rex, cum in id opus inpensam esset |
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4029 pollicitus, cellae magnitudinem et columnarum circa dipteron conlocationem epistyliorumque et ceterorum ornamentorum ad symmetriam distributionem magna sollertia |
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4030 scientiaque summa civis Romanus Cossutius nobiliter est |
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4031 architectatus. </s><s>id autem opus non modo vulgo, sed etiam in paucis a magnificentia nominatur. |
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4032 </s></p></subchap2> |
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4033 <subchap2><p type="main"><s> |
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4034 Nam quattuor locis sunt aedium sacrarum marmoreis operibus ornatae dispositiones, [e quibus propriae de his nominationes clarissima |
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4035 fama nominantur] quorum excellentiae prudentesque cogitationum apparatus suspectus habent in deorum <foreign lang="greek">shmantikoi=s</foreign>. primumque aedes Ephesi Dianae ionico genere |
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4036 ab Chersiphrone Gnosio et filio eius Metagene est instituta, quam postea Demetrius, ipsius Dianae servus, et |
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4037 Paeonius Ephesius dicuntur perfecisse. </s><s>Mileti Apollini |
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4038 item ionicis symmetriis <aedem> idem Paeonius Daphnisque Milesius instituerunt. </s><s>Eleusine Cereris et Proserpinae |
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4039 cellam inmani magnitudine Ictinos dorico more sine exterioribus columnis ad laxamentum usus sacrificiorum pertexit. |
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4040 </s></p></subchap2> |
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4041 <subchap2><p type="main"><s> |
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4042 Eam autem postea, cum Demetrius Phalereus Athenis rerum potiretur, Philo ante templum in fronte |
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4043 columnis constitutis prostylon fecit; ita aucto vestibulo |
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4044 laxamentum initiantibus operique summam adiecit auctoritatem. </s><s>in asty vero Olympium amplo modulorum comparatu corinthiis symmetriis et proportionibus, uti supra |
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4045 scriptum est, architectandum Cossutius suscepisse memoratur, cuius commentarium nullum est inventum. </s><s>nec |
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4046 tamen a Cossutio solum de his rebus scripta sunt desideranda sed etiam a G. </s><s>Mucio, qui magna scientia confisus |
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4047 aedis Honoris et Virtutis Marianae cellae columnarumque et epistyliorum symmetrias legitimis artis institutis |
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4048 perfecit. </s><s>id vero si marmoreum fuisset, ut haberet, quemadmodum ab arte subtilitatem, sic ab magnificentia et |
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4049 inpensis auctoritatem, in primis et summis operibus nominaretur. |
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4050 </s></p></subchap2> |
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4051 <subchap2><p type="main"><s> |
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4052 Cum ergo et antiqui nostri inveniantur non minus |
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4053 quam Graeci fuisse magni architecti et nostra memoria |
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4054 satis multi, et ex his pauci praecepta edidissent, non |
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4055 putavi silendum, sed disposite singulis voluminibus de |
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4056 singulis exponere rebus. </s><s>itaque, quoniam sexto volumine |
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4057 privatorum aedificiorum rationes perscripsi, in hoc, qui |
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4058 septimum tenet numerum, de expolitionibus, quibus rationibus et venustatem et firmitatem habere possint, exponam. |
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4059 </s></p></subchap2> |
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|
4060 </subchap1> |
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4061 <subchap1> |
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4062 <subchap2><p type="main"><s> |
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4063 Primumque incipiam de ruderatione, quae principia |
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4064 tenet expolitionum, uti curiosius summaque providentia |
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4065 solidationis ratio habeatur. </s><s>et si plano pede erit eruderandum, quaeratur, solum si sit perpetuo solidum, et ita |
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4066 exaequetur, et inducatur cum statumine rudus. </s><s>sin autem |
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4067 omnis aut ex parte congesticius locus fuerit, fistucationibus cum magna cura solidetur. </s><s>in contignationibus vero |
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4068 diligenter est animadvertendum, ne qui paries, qui non |
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4069 exeat ad summum, sit extructus sub pavimentum, sed |
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4070 potius relaxatus supra se pendentem habeat coaxationem. </s><s>cum enim solidus exit, contignationibus arescentibus aut |
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4071 pandatione sidentibus, permanens structurae soliditate |
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4072 dextra ac sinistra secundum se facit in pavimentis necessario rimas. |
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4073 </s></p></subchap2> |
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4074 <subchap2><p type="main"><s> |
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4075 Item danda est opera, ne commisceantur |
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4076 axes aesculini querco, quod quercei, simul umorem perceperunt, se torquentes rimas faciunt in pavimentis. </s><s>sin |
|
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4077 autem aesculus non erit et necessitas coegerit propter |
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4078 inopiam querceis <uti>, sic videtur esse faciundum, ut secentur tenuiores; quo minus enim valuerint, eo facilius |
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4079 clavis fixi continebuntur. </s><s>deinde in singulis tignis extremis |
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4080 partibus axis bini clavi figantur, uti nulla ex parte possint |
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4081 se torquendo anguli excitare. </s><s>namque de cerro aut fago |
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4082 seu farno nullus ad vestutatem potest permanere. </s><s>coaxationibus factis, si erit, filex, si non, palea substernatur, uti materies ab calcis vitiis defendatur. |
|
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4083 </s></p></subchap2> |
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4084 <subchap2><p type="main"><s> |
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4085 Tunc insuper statuminetur ne minore saxo, quam qui possit manum |
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4086 implere. </s><s>statuminationibus inductis, rudus si novum erit, |
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4087 ad tres partes una calcis misceatur, si redivivum fuerit, |
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4088 quinque ad duo mixtionis habeant responsum. </s><s>deinde |
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4089 rudus inducatur et vectibus ligneis, decuriis inductis, crebriter pistatione solidetur, et id non minus pinsum absolutum crassitudine sit dodrantis. </s><s>insuper ex testa nucleus |
|
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4090 inducatur mixtionem habens ad tres partes unam calcis, ne |
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4091 minore crassitudine [pavimentum] digitorum senûm. </s><s>supra |
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4092 nucleum ad regulam et libellam exacta pavimenta struantur sive sectilia seu tesseris. |
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4093 </s></p></subchap2> |
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4094 <subchap2><p type="main"><s> |
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4095 Cum ea structa fuerint et fastigia sua ex structione habuerint, ita fricentur, uti, si |
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4096 sectilia sint, nulli gradus in scutulis aut trigonis aut |
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4097 quadratis seu favis extent, sed coagmentorum compositio |
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4098 planam habeat inter se directionem, si tesseris structum |
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4099 erit, ut eae omnes angulos habeant aequales; cum enim |
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4100 anguli non fuerint omnes aequaliter plani, non erit exacta, |
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4101 ut oportet, fricatura. </s><s>item testacea spicata tiburtina sunt |
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4102 diligenter exigenda, ut ne habeant lacunas nec extantes |
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4103 tumulos, sed <sint> extenta et ad regulam perfricata. </s><s>super |
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4104 fricaturam, levigationibus et polituris cum fuerint perfecta, |
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4105 incernatur marmor, et supra loricae ex calce et harena |
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4106 inducantur. |
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4107 </s></p></subchap2> |
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4108 <subchap2><p type="main"><s> |
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4109 Subdiu vero maxime idonea faciunda sunt pavimenta, |
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4110 quod contignationes umore crescentes aut siccitate decrescentes seu pandationibus sidentes movendo se faciunt |
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4111 vitia pavimentis; praeterea gelicidia et pruinae non patiuntur integra permanere. </s><s>itaque si necessitas coegerit, ut |
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4112 minime vitiosa fiant, sic erit faciundum. </s><s>cum coaxatum |
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4113 fuerit, super altera coaxatio transversa sternatur clavisque |
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4114 fixa duplicem praebeat contignationi loricationem. </s><s>deinde |
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4115 ruderi novo tertia pars testae tunsae admisceatur, calcisque duae partes ad quinque mortarii mixtionibus praestent responsum. |
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4116 </s></p></subchap2> |
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4117 <subchap2><p type="main"><s> |
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4118 Statuminatione facta rudus inducatur, idque pistum absolutum ne minus pede sit crassum. </s><s>tunc |
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4119 autem nucleo inducto, uti supra scriptum est, pavimentum e tessera grandi circiter binûm digitûm caesa struatur fastigium habens in pedes denos digitos binos; quod si bene temperabitur et recte fricatum fuerit, ab omnibus |
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4120 vitiis erit tutum. </s><s>uti autem inter coagmenta materies ab |
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4121 gelicidiis ne laboret, fracibus quotannis ante hiemem saturetur; ita non patietur in se recipere gelicidii pruinam. |
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4122 </s></p></subchap2> |
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4123 <subchap2><p type="main"><s> |
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4124 Sin autem curiosius videbitur fieri oportere, tegulae bipedales inter se coagmentatae supra rudus substrata materia |
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4125 conlocentur habentes singulis coagmentorum frontibus |
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4126 excelsos canaliculos digitales. </s><s>quibus iunctis inplicetur calx |
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4127 ex oleo subacta, confricenturque inter se coagmenta compressa. </s><s>ita calx, quae erit haerens in canalibus, durescendo contexteque solidescendo non patietur aquam neque |
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4128 aliam rem per coagmenta transire. </s><s>cum ergo fuerit hoc |
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4129 ita perstratum, supra nucleus inducatur et virgis caedendo |
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4130 subigatur. </s><s>supra autem sive ex tessera grandi sive ex |
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4131 spica testacea <pavimenta> struantur fastigiis, quibus est |
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4132 supra scriptum, et cum sic erunt facta, non cito vitiabuntur. |
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|
4133 </s></p></subchap2> |
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|
4134 </subchap1> |
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|
4135 <subchap1> |
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4136 <subchap2><p type="main"><s> |
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4137 Cum a pavimentorum cura discessum fuerit, tunc de |
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4138 albariis operibus est explicandum. </s><s>id autem erit recte, |
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4139 si glaebae calcis optimae ante multo tempore, quam opus |
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4140 fuerit, macerabuntur, uti, si qua glaeba parum fuerit in |
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4141 fornace cocta, in maceratione diuturna liquore defervere |
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4142 coacta uno tenore concoquatur. </s><s>namque cum non penitus |
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4143 macerata sed recens sumitur, cum fuerit inducta habens |
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4144 latentes crudos calculos, pustulas emittit. </s><s>qui calculi, in |
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4145 opere uno tenore cum permacerantur, dissolvunt et dissipant tectorii politiones. |
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|
4146 </s></p></subchap2> |
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|
4147 <subchap2><p type="main"><s> |
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4148 Cum autem habita erit ratio |
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4149 macerationis et id curiosius operi praeparatum erit, sumatur ascia et, quemadmodum materia dolatur, sic calx in |
|
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4150 lacu macerata ascietur. </s><s>si ad eam offenderint calculi, non |
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4151 erit temperata; cumque siccum et purum ferrum educetur, |
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4152 indicabit eam evanidam et siticulosam; cum vero pinguis |
|
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|
4153 fuerit et recte macerata, circa id ferramentum uti glutinum haerens omni ratione probabit se esse temperatam. </s><s>tunc autem machinis comparatis camerarum dispositiones |
|
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4154 in conclavibus expediantur, nisi lacunariis ea fuerint ornata. |
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|
4155 </s></p></subchap2> |
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|
4156 </subchap1><subchap1> |
|
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|
4157 <subchap2><p type="main"><s> |
|
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|
4158 Cum ergo camerarum postulabitur ratio, sic erit faciundum. </s><s>asseres directi disponantur inter se ne plus spatium |
|
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|
4159 habentes pedes binos, et hi maxime cupressei, quod |
|
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|
4160 abiegnei ab carie et ab vetustate celeriter vitiantur. </s><s>hique |
|
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|
4161 asseres, cum ad formam circinationis fuerint distributi, |
|
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|
4162 catenis dispositis ad contignationes, sive tecta erunt, crebriter clavis ferreis fixi religentur. </s><s>eaeque catenae ex ea |
|
22d6a63640c6
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|
4163 materia comparentur, cui nec caries nec vetustas nec umor |
|
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|
4164 possit nocere, id est e buxo, iunipero, olea, robore, cupresso |
|
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4165 ceterisque similibus praeter quercum, cum ea se torquendo rimas faciat quibus inest operibus. |
|
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|
4166 </s></p></subchap2> |
|
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|
4167 <subchap2><p type="main"><s> |
|
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|
4168 Asseribus dispositis tum tomice ex sparto hispanico harundines graecae tunsae |
|
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|
4169 ad eos, uti forma postulat, religentur. </s><s>item supra cameram materies ex calce et harena mixta subinde inducatur, |
|
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4170 ut, si quae stillae ex contignationibus aut tectis ceciderint, |
|
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|
4171 sustineantur. </s><s>sin autem harundinis graecae copia non |
|
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|
4172 erit, de paludibus tenues colligantur et mataxae tomice |
|
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4173 ad iustam longitudinem una crassitudine alligationibus |
|
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4174 temperentur, dum ne plus inter duos nodos [alligationibus] |
|
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4175 binos pedes distent, et hae ad asseres, uti supra scriptum |
|
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4176 est, tomice religentur cultellique lignei in eas configantur. </s><s>Cetera omnia, uti supra scriptum est, expediantur. |
|
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|
4177 </s></p></subchap2> |
|
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|
4178 <subchap2><p type="main"><s> |
|
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|
4179 Cameris dispositis et intextis imum caelum earum trullissetur, |
|
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4180 deinde harena dirigatur, postea autem creta aut marmore |
|
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|
4181 poliatur. |
|
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|
4182 </s> |
|
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|
4183 </p><p type="main"><s> |
|
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|
4184 Cum camerae politae fuerint, sub eas coronae sunt |
|
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|
4185 subiciendae, quas maxime tenues et subtiles oportere fieri |
|
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|
4186 videbitur; cum enim grandes sunt, pondere deducuntur |
|
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|
4187 nec possunt se sustinere. </s><s>in hisque minime gypsum debet |
|
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|
4188 admisceri, sed ex creto marmore uno tenore perduci, uti |
|
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|
4189 ne praecipiendo non patiatur uno tenore opus inarescere. </s><s>etiamque cavendae sunt in cameris †priscorum dispositiones, |
|
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|
4190 quod earum planitiae coronarum gravi pondere inpendentes sunt periculosae. |
|
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|
4191 </s></p></subchap2> |
|
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|
4192 <subchap2><p type="main"><s> |
|
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|
4193 Coronarum autem sunt figurae <aliae |
|
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|
4194 purae>, aliae caelatae. </s><s>conclavibus autem, ubi ignis aut |
|
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|
4195 plura lumina sunt ponenda, purae fieri debent, ut eo |
|
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|
4196 facilius extergeantur; in aestivis et exhedris, ubi minime |
|
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|
4197 fumus est nec fuligo potest nocere, ibi caelatae sunt |
|
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|
4198 faciendae. </s><s>semper enim album opus propter superbiam |
|
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|
4199 candoris non modo ex propriis sed etiam alienis aedificiis |
|
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|
4200 concipit fumum. |
|
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|
4201 </s></p></subchap2> |
|
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|
4202 <subchap2><p type="main"><s> |
|
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|
4203 Coronis explicatis parietes quam asperrime trullissentur, |
|
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|
4204 postea autem supra, trullissatione subarescente, deformentur directiones harenati, uti longitudines ad regulam et ad |
|
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|
4205 lineam, altitudines ad perpendiculum, anguli ad normam |
|
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|
4206 respondentes exigantur; namque sic emendata tectoriorum |
|
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|
4207 in picturis erit species. </s><s>subarescente iterum et tertio inducatur; ita cum fundatior erit ex harenato directura, eo firmior erit ad vetustatem soliditas tectorii. |
|
22d6a63640c6
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|
4208 </s></p></subchap2> |
|
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|
4209 <subchap2><p type="main"><s> |
|
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|
4210 Cum ab harena praeter trullissationem non minus tribus coriis fuerit deformatum, tunc e marmore graneo directiones sunt subigendae, dum ita materies temperetur, uti, cum subigatur, |
|
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|
4211 non haereat ad rutrum, sed purum ferrum e mortario |
|
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|
4212 liberetur. </s><s>grandi inducto et inarescente alterum corium |
|
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|
4213 mediocre dirigatur; id cum subactum fuerit et bene fricatum, subtilius inducatur. </s><s>ita cum tribus coriis harenae |
|
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|
4214 et item marmoris solidati parietes fuerint, neque rimas, neque aliud vitium in se recipere poterunt, |
|
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|
4215 </s></p></subchap2> |
|
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|
4216 <subchap2><p type="main"><s> |
|
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|
4217 sed et liaculorum subactionibus fundata soliditate marmorisque candore firmo levigata, coloribus cum politionibus inductis |
|
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|
4218 nitidos expriment splendores. </s><s>colores autem, udo tectorio |
|
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|
4219 cum diligenter sunt inducti, ideo non remittunt sed sunt |
|
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|
4220 perpetuo permanentes, quod calx, in fornacibus excocto |
|
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|
4221 liquore facta raritatibus evanida, ieiunitate coacta corripit |
|
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|
4222 in se quae res forte contigerunt, mixtionibusque ex aliis |
|
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|
4223 potestatibus conlatis seminibus seu principiis una solidescendo, [in quibuscumque membris est formata] cum fit |
|
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|
4224 arida, redigitur, uti sui generis proprias videatur habere qualitates. |
|
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|
4225 </s></p></subchap2> |
|
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|
4226 <subchap2><p type="main"><s> |
|
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|
4227 Itaque tectoria, quae recte sunt facta, neque |
|
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|
4228 vetustatibus fiunt horrida neque, cum extergentur, remittunt |
|
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|
4229 colores, nisi si parum diligenter et in arido fuerint inducti. </s><s>cum ergo ita in parietibus tectoria facta fuerint, |
|
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|
4230 uti supra scriptum est, et firmitatem et splendorem et ad |
|
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|
4231 vetustatem permanentem virtutem poterunt habere. </s><s>cum |
|
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|
4232 vero unum corium harenae et unum minuti marmoris erit |
|
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|
4233 inductum, tenuitas eius minus valendo faciliter rumpitur |
|
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|
4234 nec splendorem politionibus propter inbecillitatem crassitudinis proprium obtinebit. |
|
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|
4235 </s></p></subchap2> |
|
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|
4236 <subchap2><p type="main"><s> |
|
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4237 Quemadmodum enim speculum argenteum tenui lamella ductum incertas et sine viribus |
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4238 habet remissiones splendoris, quod autem e solida temperatura fuerit factum, recipiens in se firmis viribus politionem fulgentes in aspectu certasque considerantibus |
|
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4239 imagines reddet, sic tectoria, quae ex tenui sunt ducta |
|
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4240 materia, non modo sunt rimosa, sed etiam celeriter evanescunt, quae autem fundata harenationis et marmoris |
|
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|
4241 soliditate sunt crassitudine spissa, cum sunt politionibus |
|
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4242 crebris subacta, non modo sunt nitentia, sed etiam imagines expressas aspicientibus ex eo opere remittunt. |
|
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|
4243 </s></p></subchap2> |
|
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|
4244 <subchap2><p type="main"><s> |
|
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4245 Graecorum vero tectores non solum his rationibus utendo |
|
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4246 faciunt opera firma, sed etiam mortario conlocato, calce |
|
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4247 et harena ibi confusa, decuria hominum inducta ligneis |
|
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4248 vectibus pisant materiam, et ita ad certamen subacta tunc |
|
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4249 utuntur. </s><s>itaque veteribus parietibus nonnulli crustas excidentes pro abacis utuntur, ipsaque tectoria abacorum |
|
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4250 et speculorum divisionibus circa se prominentes habent |
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|
4251 expressiones. |
|
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|
4252 </s></p></subchap2> |
|
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|
4253 <subchap2><p type="main"><s> |
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4254 Sin autem in craticiis tectoria erunt facienda, quibus |
|
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4255 necesse est in arrectariis et transversariis rimas fieri, |
|
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4256 ideo quod, luto cum linuntur, necessario recipiunt umorem, |
|
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|
4257 cum autem arescunt, extenuati in tectoriis faciunt rimas, |
|
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|
4258 id ut non fiat, haec erit ratio. </s><s>cum paries totus luto inquinatus fuerit, tunc in eo opere cannae clavis muscariis |
|
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|
4259 perpetuae figantur, deinde iterum luto inducto, si priores |
|
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|
4260 transversariis harundinibus fixae sunt, secundae erectis |
|
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|
4261 figantur, et ita, uti supra scriptum est, harenatum et marmor et omne tectorium inducatur. </s><s>ita cannarum duplex |
|
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|
4262 <!-- POSSIBLE TRANSCRIPTION GAP --> |
|
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|
4263 in parietibus harundinibus transversis fixa perpetuitas nec |
|
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|
4264 segmina nec rimam ullam fieri patietur. |
|
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|
4265 </s></p></subchap2> |
|
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|
4266 </subchap1> |
|
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|
4267 <subchap1> |
|
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|
4268 <subchap2><p type="main"><s> |
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|
4269 Quibus rationibus siccis locis tectoria oporteat fieri, |
|
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|
4270 dixi; nunc, quemadmodum umidis locis politiones expediantur, ut permanere possint sine vitiis, exponam. </s><s>et primum |
|
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4271 conclavibus, quae plano pede fuerint, in imo pavimento |
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4272 alte circiter pedibus tribus pro harenato testa trullissetur |
|
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4273 et dirigatur, uti eae partes tectoriorum ab umore ne vitientur. </s><s>sin autem aliqui paries perpetuos habuerit umores, |
|
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|
4274 paululum ab eo recedatur et struatur alter tenuis distans |
|
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4275 ab eo, quantum res patietur, et inter duos parietes canalis |
|
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|
4276 ducatur inferior, quam libramentum conclavis fuerit, habens |
|
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|
4277 nares ad locum patentem. </s><s>item, cum in altitudinem perstructus fuerit, relinquantur spiramenta; si enim non per |
|
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|
4278 nares umor et in imo et in summo habuerit exitus, non |
|
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|
4279 minus in nova structura se dissipabit. </s><s>his perfectis paries |
|
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|
4280 testa trullissetur et dirigatur et tunc tectorio poliatur. |
|
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|
4281 </s></p></subchap2> |
|
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|
4282 <subchap2><p type="main"><s> |
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|
4283 Sin autem locus non patietur structuram fieri, canales fiant |
|
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|
4284 et nares exeant ad locum patentem. </s><s>deinde tegulae bipedales ex una parte supra marginem canalis inponantur, |
|
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|
4285 ex altera parte besalibus <laterculis> pilae substruantur, |
|
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|
4286 in quibus duarum tegularum anguli sedere possint, et ita |
|
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|
4287 a pariete eae distent, ut ne plus pateant palmum. </s><s>deinde |
|
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|
4288 insuper erectae mammatae tegulae ab imo ad summum |
|
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|
4289 ad parietem figantur, quarum interiores partes curiosius |
|
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|
4290 picentur, ut ab se respuant liquorem; item in imo et in summo supra camaram habeant spiramenta. |
|
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|
4291 </s></p></subchap2> |
|
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|
4292 <subchap2><p type="main"><s> |
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|
4293 tum autem calce ex aqua liquida dealbentur, uti trullissationem testaceam |
|
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|
4294 ceam non respuant; namque propter ieiunitatem quae est |
|
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|
4295 a fornacibus excocta non possunt recipere nec sustinere, |
|
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|
4296 nisi calx subiecta utrasque res inter se conglutinet et |
|
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|
4297 cogat coire. </s><s>trullissatione inducta pro harenato testa dirigatur, et cetera omnia, uti supra scripta sunt in tectorii |
|
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|
4298 rationibus, perficiantur. |
|
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|
4299 </s></p></subchap2> |
|
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|
4300 <subchap2><p type="main"><s> |
|
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|
4301 Ipsi autem <gap/> politionibus eorum ornatus proprios |
|
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|
4302 debent habere ad decoris rationes, uti et ex locis aptas et |
|
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|
4303 generum discriminibus non alienas habeant dignitates. </s><s>tricliniis hibernis non est utilis compositione nec megalographia nec camerarum coronario opere subtilis ornatus, |
|
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|
4304 quod ea et ab ignis fumo et ab luminum crebris fuliginibus corrumpuntur. </s><s>in his vero supra podia abaci ex atramento sunt subigendi et poliendi cuneis silaceis seu miniaceis interpositis, <et> explicandae camerae pure politae. </s><s>etiam pavimentorum non erit displicens, si qui animadvertere voluerit Graecorum hibernaculorum usum, minime sumptuosus et utilis apparatus. |
|
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|
4305 </s></p></subchap2> |
|
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|
4306 <subchap2><p type="main"><s> |
|
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|
4307 Foditur enim infra libramentum triclinii altitudo circiter pedum binûm, et solo |
|
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|
4308 festucato inducitur aut rudus aut testaceum pavimentum |
|
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|
4309 ita fastigatum, ut in canali habeat nares. </s><s>deinde congestis |
|
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|
4310 et spisse calcatis carbonibus inducitur e sabulone et calce et |
|
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|
4311 favilla mixta materies crassitudine semipedali. </s><s>ad regulam |
|
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|
4312 et libellam summo libramento cote despumato redditur |
|
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|
4313 species nigri pavimenti. </s><s>ita conviviis eorum et, quod poculis et pytismatis effunditur, simul cadit siccescitque, quique versantur ibi ministrantes, etsi nudis pedibus fuerint, |
|
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|
4314 non recipiunt frigus ab eius modi genere pavimenti. |
|
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|
4315 </s></p></subchap2> |
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4316 </subchap1> |
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4317 <subchap1> |
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4318 <subchap2><p type="main"><s> |
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4319 Ceteris conclavibus, id est vernis, autumnalibus, aestivis, |
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4320 etiam atriis et peristylis, constitutae sunt ab antiquis ex |
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4321 certis rebus certae rationes picturarum. </s><s>namque pictura |
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4322 imago fit eius, quod est seu potest esse, uti homines, aedificia, naves, reliquarumque rerum, e quibus finitis certisque |
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4323 corporibus figurata similitudine sumuntur exempla. </s><s>ex eo |
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4324 antiqui, qui initia expolitionibus instituerunt, imitati sunt |
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4325 primum crustarum marmorearum varietates et conlocationes, deinde coronarum, †siliculorum, cuneorum inter sese varias distributiones. |
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4326 </s></p></subchap2> |
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4327 <subchap2><p type="main"><s> |
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4328 Postea ingressi sunt, ut etiam aedificiorum figuras, columnarum et fastigiorum eminentes proiecturas imitarentur, patentibus autem locis, uti exhedris, |
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4329 propter amplitudines parietum scaenarum frontes tragico |
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4330 more aut comico seu satyrico designarent, ambulationibus |
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4331 vero propter spatia longitudinis varietatibus topiorum ornarent ab certis locorum proprietatibus imagines exprimentes; |
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4332 pinguntur enim portus, promunturia, litora, flumina, fontes, |
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4333 euripi, fana, luci, montes, pecora, pastores. </s><s>nonnulli loci |
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4334 item signorum megalographiam habent et deorum simulacra seu fabularum dispositas explicationes, non minus |
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4335 troianas pugnas seu Ulixis errationes per topia, ceteraque, |
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4336 quae sunt eorum similibus rationibus ab rerum natura procreata. |
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4337 </s></p></subchap2> |
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4338 <subchap2><p type="main"><s> |
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4339 Sed haec, quae ex veris rebus exempla sumebantur, nunc iniquis moribus inprobantur. </s><s>nam pinguntur |
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4340 tectoriis monstra potius quam ex rebus finitis imagines |
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4341 certae: pro columnis enim struuntur calami striati cum |
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4342 crispis foliis et volutis, pro fastigiis appagineculi, item |
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4343 candelabra aedicularum sustinentia figuras, supra fastigia |
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4344 eorum surgentes ex radicibus cum volutis teneri flores |
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4345 habentes in se sine ratione sedentia sigilla, non minus |
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4346 coliculi dimidiata habentes sigilla alia humanis, alia bestiarum capitibus. |
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4347 </s></p></subchap2> |
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4348 <subchap2><p type="main"><s> |
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4349 Haec autem nec sunt nec fieri possunt nec fuerunt. </s><s>quemadmodum enim potest calamus vere |
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4350 sustinere tectum aut candelabrûm ornamenta fastigii, |
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4351 seu coliculus tam tenuis et mollis sustinere sedens sigillum, aut de radicibus et coliculis ex parte flores dimidiataque sigilla procreari? at haec falsa videntes homines |
|
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4352 non reprehendunt sed delectantur, neque animadvertunt, |
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4353 si quid eorum fieri potest necne. </s><s>ergo ita novi mores |
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4354 coegerunt, uti inertiae mali iudices convincerent artium |
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4355 virtutes; iudiciis autem infirmis obscuratae mentes non |
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4356 valent probare, quod potest esse cum auctoritate et |
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4357 ratione decoris. </s><s>neque enim picturae probari debent, quae |
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4358 non sunt similes veritati, nec, si factae sunt elegantes ab |
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4359 arte, ideo de his statim debet 'recte' iudicari, nisi argumentationis certas rationes habuerint sine offensionibus explicatas. |
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|
4360 </s></p></subchap2> |
|
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|
4361 <subchap2><p type="main"><s> |
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|
4362 Etenim etiam Trallibus cum Apaturius Alabandeus eleganti manu finxisset scaenam in minusculo theatro, quod <foreign lang="greek">e)kklhsiasth/rion</foreign> apud eos vocitatur, in eaque |
|
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|
4363 fecisset columnas, signa, centauros sustinentes epistylia, |
|
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|
4364 tholorum rotunda tecta, fastigiorum prominentes versuras, |
|
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|
4365 coronasque capitibus leoninis ornatas, quae ora stillicidiorum e tectis habent rationem, praeterea supra ea nihilominus episcaenum, in qua tholi, pronai, semifastigia |
|
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|
4366 omnisque tecti varius picturis fuerat ornatus, itaque cum |
|
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4367 aspectus eius scaenae propter asperitatem eblandiretur |
|
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|
4368 omnium visus et iam id opus probare fuissent parati, tum Licymnius mathematicus prodiit et ait |
|
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|
4369 </s></p></subchap2> |
|
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|
4370 <subchap2><p type="main"><s> |
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|
4371 'Alabandis satis acutos ad omnes res civiles haberi, sed propter non magnum vitium indecentiae insipientes eos esse iudicatos, |
|
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|
4372 quod in gymnasio eorum quae sunt statuae omnes sunt |
|
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|
4373 causas agentes, foro discos tenentes aut currentes seu pila |
|
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|
4374 ludentes. </s><s>ita indecens inter locorum proprietates status |
|
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|
4375 signorum publice civitati vitium existimationis adiecit. </s><s>videamus item nunc, ne Apaturii scaena efficiat et nos |
|
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|
4376 Alabandis aut Abderitas. </s><s>qui enim vestrum domos supra |
|
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|
4377 tegularum tecta potest habere aut columnas seu fastigiorum explicationes? haec enim supra contignationes ponuntur, non supra tegularum tecta. </s><s>si ergo, quae non |
|
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|
4378 possunt in veritate rationem habere facti, in picturis probaverimus, accedemus et nos his civitatibus, quae propter haec vitia insipientes sunt iudicatae.' |
|
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|
4379 </s></p></subchap2> |
|
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|
4380 <subchap2><p type="main"><s> |
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|
4381 Itaque Apaturius contra respondere non est ausus, sed sustulit scaenam et |
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|
4382 ad rationem veritatis commutatam postea correctam adprobavit. </s><s>utinam dii inmortales fecissent, uti Licymnius |
|
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|
4383 revivisceret et corrigeret hanc amentiam tectoriorumque |
|
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|
4384 errantia instituta! sed quare vincat veritatem ratio falsa, |
|
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|
4385 non erit alienum exponere. </s><s>quod enim antiqui insumentes |
|
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|
4386 laborem et industriam probare contendebant artibus, id |
|
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|
4387 nunc coloribus et eorum eleganti specie consecuntur, et |
|
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|
4388 quam subtilitas artificis adiciebat operibus auctoritatem, nunc dominicus sumptus efficit, ne desideretur. |
|
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|
4389 </s></p></subchap2> |
|
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|
4390 <subchap2><p type="main"><s> |
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|
4391 Quis enim antiquorum non uti medicamento minio parce videtur usus |
|
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|
4392 esse? at nunc passim plerumque toti parietes inducuntur. </s><s>accedit huc chrysocolla, ostrum, armenium. </s><s>haec vero |
|
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|
4393 cum inducuntur, etsi non ab arte sunt posita, fulgentes |
|
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4394 colorum reddunt visus, et ideo quod pretiosa sunt, legibus excipiuntur, ut ab domino, non a redemptore repraesententur. |
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4395 </s> |
|
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4396 </p><p type="main"><s> |
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4397 Quae commonefacere potui, ut ab errore discedatur in |
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4398 opere tectorio, satis exposui; nunc de apparitionibus, ut |
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4399 succurrere potuerit, dicam, et primum, quoniam de calce |
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4400 initio est dictum, nunc de marmore ponam. |
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4401 </s></p></subchap2> |
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4402 </subchap1> |
|
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4403 <subchap1> |
|
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4404 <subchap2><p type="main"><s> |
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4405 Marmor non eodem genere omnibus regionibus procreatur, sed quibusdam locis glaebae ut salis micas perlucidas habentes nascuntur, quae contusae et molitae praestant operibus utilitatem. </s><s>quibus autem locis eae copiae |
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4406 non sunt, caementa marmorea, sive assulae dicuntur, quae |
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4407 marmorarii ex operibus deiciunt, contunduntur et moluntur, |
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4408 <et cum> est subcretum, in operibus utuntur. </s><s>aliis locis, |
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4409 ut inter Magnesiae et Ephesi fines, sunt loca, unde foditur |
|
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4410 <farina> parata, quam nec molere nec cernere opus est, |
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4411 sed sic est subtilis, quemadmodum si qua est manu contusa |
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4412 et subcreta. |
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4413 </s> |
|
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4414 </p><p type="main"><s> |
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4415 Colores vero alii sunt, qui per se certis locis procreantur et inde fodiuntur, nonnulli ex aliis rebus tractationibus aut mixtionum temperaturis compositi perficiuntur, uti praestent eandem in operibus utilitatem. |
|
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4416 </s></p></subchap2> |
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|
4417 </subchap1> |
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|
4418 <subchap1> |
|
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4419 <subchap2><p type="main"><s> |
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4420 Primum autem exponemus, quae per se nascentia fodiuntur, uti sil, |
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4421 quod graece <foreign lang="greek">w)/xra</foreign> dicitur. </s><s>haec vero multis locis, ut etiam |
|
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4422 in Italia, invenitur; sed quae fuerat optima, attica, ideo |
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4423 nunc non habetur, quod Athenis argentifodinae cum habuerunt familias, tunc specus sub terra fodiebantur ad argentum inveniendum. </s><s>cum ibi vena forte inveniretur, nihilominus uti argentum persequebantur; itaque antiqui egregia copia silis ad politionem operum sunt usi. |
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4424 </s></p></subchap2> |
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4425 <subchap2><p type="main"><s> |
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4426 Item rubricae copiosae multis locis eximuntur, sed optimae paucis, uti |
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4427 Ponto Sinope, et Aegypto, in Hispania Balearibus, non |
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4428 minus etiam Lemno, cuius insulae vectigalia Atheniensibus senatus populusque Romanus concessit fruenda. |
|
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4429 </s></p></subchap2> |
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4430 <subchap2><p type="main"><s> |
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4431 Paraetonium vero ex ipsis locis, unde foditur, habet nomen. </s><s>eadem ratione melinum, quod eius metallum in sola cycladi Melo dicitur esse. |
|
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4432 </s></p></subchap2> |
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4433 <subchap2><p type="main"><s> |
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4434 Creta viridis item pluribus locis nascitur, sed optima Zmyrnae; hanc autem Graeci |
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4435 <foreign lang="greek">qeodotei=on</foreign> vocant, quod Theodotus nomine fuerat, cuius in fundo id genus cretae primum est inventum. |
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4436 </s></p></subchap2> |
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4437 <subchap2><p type="main"><s> |
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|
4438 Auripigmentum, quod <foreign lang="greek">a)rseniko/n</foreign> graece dicitur, foditur Ponto. </s><s>sandaraca item pluribus locis, sed optima Ponto proxime flumen Hypanim habet metallum. |
|
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|
4439 </s></p></subchap2> |
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|
4440 </subchap1> |
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|
4441 <subchap1> |
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|
4442 <subchap2><p type="main"><s> |
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|
4443 Ingrediar nunc minii rationes explicare. </s><s>id autem agris |
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|
4444 Ephesiorum Cilbianis primum esse memoratur inventum. </s><s>cuius et res et ratio satis magnas habet admirationes. </s><s>foditur enim glaeba quae dicitur, antequam tractationibus |
|
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|
4445 ad minium perveniant, vena uti ferrum, magis subrufo |
|
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|
4446 colore, habens circa se rubrum pulverem. </s><s>cum id foditur, |
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|
4447 ex plagis ferramentorum crebras emittit lacrimas argenti vivi, quae a fossoribus statim colliguntur. |
|
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|
4448 </s></p></subchap2> |
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|
4449 <subchap2><p type="main"><s> |
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|
4450 Hae glaebae, cum collectae sunt, in officina propter umoris plenitatem |
|
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|
4451 coiciuntur in fornacem, ut interarescant, et is qui ex his |
|
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|
4452 ab ignis vapore fumus suscitatur, cum resedit in solum |
|
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|
4453 furni, invenitur esse argentum vivum. </s><s>exemptis glaebis |
|
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|
4454 guttae eae, quae residebunt, propter brevitates non possunt |
|
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|
4455 colligi, sed in vas aquae converruntur et ibi inter se |
|
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|
4456 congruunt et una confunduntur. </s><s>id autem cum sint quattuor sextariorum mensurae, cum expenduntur, invenientur esse pondo centum. |
|
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|
4457 </s></p></subchap2> |
|
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|
4458 <subchap2><p type="main"><s> |
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|
4459 Cum in aliquo vase est confusum, si supra id lapideum centenarium pondus inponatur, natat |
|
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|
4460 in summo neque eum liquorem potest onere suo premere |
|
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|
4461 nec elidere nec dissipare. </s><s>centenario sublato si ibi auri |
|
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|
4462 scripulum inponatur, non natabit, sed ad imum per se |
|
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|
4463 deprimetur. </s><s>ita non amplitudine ponderis sed genere singularum rerum gravitatem esse non est negandum. |
|
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|
4464 </s></p></subchap2> |
|
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|
4465 <subchap2><p type="main"><s> |
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|
4466 Id autem multis rebus est ad usum expeditum. </s><s>neque enim |
|
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|
4467 argentum neque aes sine eo potest recte inaurari. </s><s>cumque in veste intextum est aurum eaque vestis contrita |
|
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|
4468 propter vetustatem usum non habeat honestum, panni in |
|
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|
4469 fictilibus vasis inpositi supra ignem comburuntur. </s><s>is cinis |
|
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|
4470 coicitur in aquam, et additur eo argentum vivum. </s><s>id |
|
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|
4471 autem omnes micas auri corripit in se et cogit secum |
|
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|
4472 coire. </s><s>aqua defusa cum id in pannum infunditur et ibi |
|
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|
4473 manibus premitur, argentum per panni raritates propter |
|
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4474 liquorem extra labitur compressione coactum, aurum intra |
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4475 purum invenitur. |
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4476 </s></p></subchap2> |
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|
4477 </subchap1> |
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4478 <subchap1> |
|
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4479 <subchap2><p type="main"><s> |
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4480 Revertar nunc ad minii temperaturam. </s><s>ipsae enim |
|
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4481 glaebae, cum sunt aridae, contunduntur pilis ferreis, et |
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4482 lotionibus et cocturis crebris relictis stercoribus efficiuntur, ut adveniant, colores. </s><s>cum ergo emissae sint ex minio |
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4483 per argenti vivi relictionem quas in se naturales habuerat virtutes, efficitur tenera natura et viribus inbecillis. |
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4484 </s></p></subchap2> |
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4485 <subchap2><p type="main"><s> |
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4486 Itaque cum est in expolitionibus conclavium tectis inductum, |
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4487 permanet sine vitiis suo colore; apertis vero, id est peristyliis aut exhedris aut ceteris eiusdem modi locis, quo |
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4488 sol et luna possit splendores et radios inmittere, cum ab |
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4489 his locus tangitur, vitiatur et amissa virtute coloris denigratur. </s><s>itaque cum et alii multi tum etiam Faberius |
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4490 scriba, cum in Aventino voluisset habere domum eleganter |
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4491 expolitam, peristyliis parietes omnes induxit minio, qui |
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4492 post dies <emph type="smallcaps"/>XXX<emph.end/> facti sunt invenusto varioque colore. </s><s>itaque primo locavit inducendos alios colores. |
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4493 </s></p></subchap2> |
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4494 <subchap2><p type="main"><s> |
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4495 At si qui subtilior fuerit et voluerit expolitionem miniaceam suum |
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4496 colorem retinere, cum paries expolitus et aridus fuerit, |
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4497 ceram ponticam igni liquefactam paulo oleo temperatam |
|
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4498 saeta inducat; deinde postea carbonibus in ferreo vase |
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4499 compositis eam ceram una cum pariete calfaciundo sudare |
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4500 cogat lietque, ut peraequetur; deinde tunc candela centunculisque puris subigat, uti signa marmorea nuda curantur (haec autem <foreign lang="greek">ga/nwsis</foreign> graece dicitur): |
|
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4501 </s></p></subchap2> |
|
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4502 <subchap2><p type="main"><s> |
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4503 ita obstans cerae ponticae lorica non patitur nec lunae splendorem nec |
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4504 solis radios lambendo eripere ex his politionibus colorem. </s><s>quae autem in Ephesiorum metallis fuerunt officinae, |
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4505 nunc traiectae sunt ideo Romam, quod id genus venae |
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4506 postea est inventum Hispaniae regionibus, <e> quibus |
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4507 metallis glaebae portantur et per publicanos Romae curantur. </s><s>eae autem officinae sunt inter aedem Florae et |
|
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4508 Quirini. |
|
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|
4509 </s></p></subchap2> |
|
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|
4510 <subchap2><p type="main"><s> |
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4511 Vitiatur minium admixta calce. </s><s>itaque si qui velit |
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4512 experiri id sine vitio esse, sic erit faciendum. </s><s>ferrea |
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4513 lamna sumatur, eo minium inponatur, ad ignem conlocetur, |
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4514 donec lamna candescat. </s><s>cum e candore color mutatus |
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4515 fuerit eritque ater, tollatur lamna ab igni, et sic refrigeratum si restituatur in pristinum colorem, sine vitio esse |
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4516 probabitur; sin autem permanserit nigro colore, significabit |
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4517 se esse vitiatum. |
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|
4518 </s></p></subchap2> |
|
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|
4519 <subchap2><p type="main"><s> |
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|
4520 Quae succurrere potuerunt mihi de minio, dixi. </s><s>chrysocolla adportatur a Macedonia; foditur autem ex îs locis, |
|
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4521 qui sunt proximi aerariis metallis. </s><s>armenium et indicum |
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|
4522 nominibus ipsis indicatur, quibus in locis procreatur. |
|
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|
4523 </s></p></subchap2> |
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|
4524 </subchap1> |
|
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|
4525 <subchap1> |
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|
4526 <subchap2><p type="main"><s> |
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|
4527 Ingrediar nunc ad ea, quae ex aliis generibus tractationum temperaturis commutata recipiunt colorum proprietates. </s><s>et primum exponam de atramento, cuius usus |
|
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|
4528 in operibus magnas habet necessitates, ut sint notae, quemadmodum praeparentur certis rationibus artificiorum, ad id temperaturae. |
|
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|
4529 </s></p></subchap2> |
|
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|
4530 <subchap2><p type="main"><s> |
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|
4531 Namque aedificatur locus uti laconicum et expolitur marmore subtiliter et levigatur. </s><s>ante id fit |
|
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4532 fornacula habens in laconicum nares, et eius praefurnium |
|
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|
4533 magna diligentia comprimitur, ne flamma extra dissipetur. </s><s>in fornace resina conlocatur. </s><s>hanc autem ignis potestas |
|
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|
4534 urendo cogit emittere per nares intra laconicum fuliginem, |
|
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|
4535 quae circa parietem et camerae curvaturam adhaerescit. </s><s>inde collecta partim componitur ex gummi subacta ad usum |
|
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|
4536 atramenti librarii, reliquum tectores glutinum admiscentes in parietibus utuntur. |
|
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|
4537 </s></p></subchap2> |
|
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|
4538 <subchap2><p type="main"><s> |
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|
4539 Si autem hae copiae non fuerint paratae, ita necessitatibus erit administrandum, ne expectatione morae res retineatur. </s><s>sarmenta aut taedae schidiae comburantur; cum erunt carbones, extinguantur, deinde in mortario cum glutino terantur: ita erit atramentum tectoribus non invenustum. |
|
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|
4540 </s></p></subchap2> |
|
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|
4541 <subchap2><p type="main"><s> |
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|
4542 Non minus si faex vini arefacta et cocta in fornace fuerit et ea contrita cum glutino in |
|
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|
4543 opere inducetur, atramenti suavitatis superque efficiet |
|
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|
4544 colorem; et quo magis ex meliore vino parabitur, non |
|
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|
4545 modo atramenti, sed etiam indici colorem dabit imitari. |
|
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|
4546 </s></p></subchap2> |
|
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|
4547 </subchap1> |
|
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|
4548 <subchap1> |
|
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|
4549 <subchap2><p type="main"><s> |
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|
4550 Caeruli temperationes Alexandriae primum sunt inventae, postea item Vestorius Puteolis instituit faciundum. |
|
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|
4551 ratio autem eius, e quibus est inventa, satis habet admirationis. </s><s>harena enim cum nitri flore conteritur adeo subtiliter, ut efficiatur quemadmodum farina; ea aes cyprum |
|
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|
4552 limis crassis uti scobis facta mixta conspargitur, ut conglomeretur; deinde pilae manibus versando efficiuntur et |
|
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4553 ita conligantur, ut inarescant; aridae componuntur in |
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4554 urceo fictili, urcei in fornace: ita aes et ea harena ab ignis |
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4555 vehementia confervescendo cum coaluerint, inter se dando |
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4556 et accipiendo sudores a proprietatibus discedunt suisque |
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4557 viribus per ignis vehementiam confectis caeruleo rediguntur colore. |
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4558 </s></p></subchap2> |
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4559 <subchap2><p type="main"><s> |
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4560 Usta vero, quae satis habet utilitatis in operibus tectoriis, sic temperatur. </s><s>glaeba silis boni coquitur, ut sit in igni candens; ea autem aceto extinguitur et efficitur purpureo colore. |
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4561 </s></p></subchap2> |
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4562 </subchap1> |
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4563 <subchap1> |
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4564 <subchap2><p type="main"><s> |
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4565 De cerussa aerugineque, quam nostri aerucam vocitant, |
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4566 non est alienum, quemadmodum comparetur, dicere. </s><s>Rhodo |
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4567 enim doliis sarmenta conlocantes aceto suffuso supra sarmenta conlocant plumbeas massas, deinde ea operculis |
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4568 obturant, ne spiramento obturatum emittatur. </s><s>post certum tempus aperientes inveniunt e massis plumbeis cerussam. </s><s>eadem ratione lamellas aereas conlocantes efficiunt aeruginem, quae aeruca appellatur. |
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4569 </s></p></subchap2> |
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4570 <subchap2><p type="main"><s> |
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4571 Cerussa vero, cum in fornace coquitur, mutato colore ad ignem [incendi] |
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4572 efficitur sandaraca—id autem incendio facto ex casu didicerunt homines—et ea multo meliorem usum praestat, |
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4573 quam quae de metallis per se nata foditur. |
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4574 </s></p></subchap2> |
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4575 </subchap1> |
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4576 <subchap1> |
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4577 <subchap2><p type="main"><s> |
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4578 Incipiam nunc de ostro dicere, quod et carissimam et |
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4579 excellentissimam habet praeter hos colores aspectus suavitatem. </s><s>id autem excipitur e conchylio marino, e quo |
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4580 purpura efficitur, cuius non minores sunt quam ceterarum |
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4581 <rerum> naturae considerantibus admirationes, quod habet |
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4582 non in omnibus locis, quibus nascitur, unius generis colorem, sed solis cursu naturaliter temperatur. |
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4583 </s></p></subchap2> |
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4584 <subchap2><p type="main"><s> |
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4585 Itaque quod legitur Ponto et Gallia, quod hae regiones sunt proximae |
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4586 ad septentrionem, est atrum; progredientibus inter septentrionem et occidentem invenitur lividum; quod autem |
|
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4587 legitur ad aequinoctialem orientem et occidentem, invenitur violaceo colore; quod vero meridianis regionibus excipitur, rubra procreatur potestate, et ideo hoc Rhodo |
|
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4588 etiam insula creatur ceterisque eiusmodi regionibus, quae proximae sunt solis cursui. |
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4589 </s></p></subchap2> |
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4590 <subchap2><p type="main"><s> |
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4591 Ea conchylia, cum sunt lecta, ferramentis circa scinduntur, e quibus plagis purpurea |
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|
4592 sanies, uti lacrima profluens, excussa in mortariis terendo |
|
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|
4593 comparatur. </s><s>et quod ex concharum marinarum testis eximitur, ideo ostrum est vocitatum. </s><s>id autem propter salsuginem cito fit siticulosum, nisi mel habeat circa fusum. |
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|
4594 </s></p></subchap2> |
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|
4595 </subchap1> |
|
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|
4596 <subchap1> |
|
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|
4597 <subchap2><p type="main"><s> |
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|
4598 Fiunt etiam purpurei colores infecta creta rubiae radice |
|
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|
4599 et hysgino, non minus et ex floribus alii colores. </s><s>itaque |
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|
4600 tectores, cum volunt sil atticum imitari, violam aridam |
|
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|
4601 coicientes in vas cum aqua, confervefaciunt ad ignem, |
|
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|
4602 deinde, cum est temperatum, coiciunt <in> linteum, et inde |
|
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|
4603 manibus exprimentes recipiunt in mortarium aquam ex |
|
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|
4604 violis coloratam, et eo cretam infundentes et eam terentesn efficiunt silis attici colorem. |
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|
4605 </s></p></subchap2> |
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|
4606 <subchap2><p type="main"><s> |
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|
4607 Eadem ratione vaccinium temperantes et lacte miscentes purpuram faciunt elegantem. </s><s>item qui non possunt chrysocolla propter caritatem |
|
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|
4608 uti, herba, quae luteum appellatur, caeruleum inficiunt, et |
|
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|
4609 utuntur viridissimum colorem; haec autem infectiva appellatur. </s><s>item propter inopiam coloris indici cretam selinusiam aut anulariam vitro, quod Graeci <foreign lang="greek">i)sa/tin</foreign> appellant, inficientes imitationem faciunt indici coloris. |
|
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|
4610 </s></p></subchap2> |
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|
4611 <subchap2><p type="main"><s> |
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4612 Quibus rationibus et rebus ad dispositionem firmitates |
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|
4613 quibusque decoras oporteat fieri picturas, item quas habeant omnes colores in se potestates, ut mihi succurrere |
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|
4614 potuit, in hoc libro perscripsi. </s><s>itaque omnes aedificationum |
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|
4615 perfectiones, quam habere debeant opportunitatem ratiocinationis, septem voluminibus sunt finitae; insequenti |
|
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4616 autem de aqua, si quibus locis non fuerit, quemadmodum |
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4617 inveniatur et qua ratione ducatur quibusque rebus, si erit |
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|
4618 salubris et idonea, probetur, explicabo. |
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|
4619 </s> |
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|
4620 </p> |
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|
4621 </subchap2> |
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|
4622 </subchap1> |
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|
4623 </chap> |
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|
4624 <chap> |
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|
4625 <!-- 8,t,1,1 --> |
|
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|
4626 <p type="head"><s>LIBER OCTAVUS</s></p> |
|
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|
4627 <subchap1> |
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|
4628 <subchap2><p type="main"><s> |
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|
4629 De septem sapientibus Thales Milesius omnium rerum |
|
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|
4630 principium aquam est professus, Heraclitus ignem, Magorum sacerdotes aquam et ignem, Euripides, auditor Anaxagorae, quem philosophum Athenienses scaenicum appellaverunt, aera et terram, eamque e caelestium imbrium |
|
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|
4631 conceptionibus inseminatam fetus gentium et omnium animalium in mundo procreavisse, et quae ex ea essent |
|
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|
4632 prognata, cum dissolverentur temporum necessitate coacta, |
|
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4633 in eandem redire, quaeque de aere nascerentur, item in |
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4634 caeli regiones reverti neque interitiones recipere et dissolutione mutata in eam recidere, in qua ante fuerant, proprietatem. </s><s>Pythagoras vero, Empedocles, Epicharmos aliique physici et philosophi haec principia esse quattuor |
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4635 proposuerunt: aerem, ignem, terram, aquam, eorumque |
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4636 inter se cohaerentiam naturali figuratione e generum discriminibus efficere qualitates. |
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4637 </s></p></subchap2> |
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4638 <subchap2><p type="main"><s> |
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4639 Animadvertimus vero non solum nascentia ex his esse procreata, sed etiam res omnes non ali sine eorum potestate neque crescere nec tueri. </s><s>namque corpora sine spiritus redundantia non possunt |
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4640 habere vitam, nisi aer influens cum incremento fecerit |
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4641 auctus et remissiones continenter. </s><s>caloris vero si non |
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4642 fuerit in corpore iusta comparatio, non erit spiritus animalis neque erectio firma, cibique vires non poterunt |
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4643 habere coctionis temperaturam. </s><s>item si non terrestri cibo |
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4644 membra corporis alantur, deficient et ita a terreni principii mixtione erunt deserta. |
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4645 </s></p></subchap2> |
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4646 <subchap2><p type="main"><s> |
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4647 Animalia vero si fuerint sine umoris potestate, exsanguinata et exsucata [a principiorum |
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4648 liquore] interarescent. </s><s>igitur divina mens, quae proprie |
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4649 necessaria essent gentibus, non constituit difficilia et cara, |
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4650 uti sunt margaritae, aurum, argentum ceteraque, quae neque corpus nec natura desiderat, sed sine quibus mortalium vita non potest esse tuta, effudit ad manum parata |
|
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4651 per omnem mundum. </s><s>itaque ex his, si quid forte defit in |
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4652 corpore spiritus, ad restituendum aer adsignatus id praestat. </s><s>apparatus autem ad auxilia caloris solis impetus et |
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4653 ignis inventus tutiorem efficit vitam. </s><s>item terrenus fructus escarum praestans copiis supervacuis desiderationibus |
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4654 alit et nutrit animales pascendo continenter. </s><s>aqua vero |
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4655 non solum potus sed infinitas usu praebendo necessitates, gratas, quod est gratuita, praestat utilitates. |
|
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4656 </s></p></subchap2> |
|
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4657 <subchap2><p type="main"><s> |
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4658 Ex eo etiam qui sacerdotia gerunt moribus Aegyptiorum, ostendunt |
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4659 omnes res e liquoris potestate consistere. </s><s>itaque cum hydria aqua ad templum aedemque casta religione refertur, |
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4660 tunc in terra procumbentes manibus ad caelum sublatis |
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4661 inventionis gratias agunt divinae benignitati. |
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|
4662 </s> |
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4663 </p><p type="main"><s> |
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4664 Cum ergo et a physicis et philosophis et ab sacerdotibus iudicetur ex potestate aquae omnes res constare, |
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4665 putavi, quoniam in prioribus septem voluminibus rationes |
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4666 aedificiorum sunt expositae, in hoc oportere de inventionibus aquae, quasque habeat in locorum proprietatibus |
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4667 virtutes, quibusque rationibus ducatur, et quemadmodum ante probetur, scribere. |
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|
4668 </s></p></subchap2> |
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|
4669 </subchap1> |
|
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|
4670 <subchap1> |
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4671 <subchap2><p type="main"><s> |
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4672 Est enim maxime necessaria et ad vitam et ad delectationes et ad usum cotidianum. |
|
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|
4673 </s> |
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4674 </p><p type="main"><s> |
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|
4675 Ea autem erit facilior, si erunt fontes aperti et fluentes. </s><s>sin autem non profluent, quaerenda sub terra sunt capita |
|
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4676 et colligenda. </s><s>quae sic erunt experienda, uti procumbatur |
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4677 in dentes, antequam sol exortus fuerit, in locis, quibus |
|
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4678 erit quaerendum, et in terra mento conlocato et fulto |
|
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4679 prospiciantur eae regiones; sic enim non errabit excelsius |
|
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|
4680 quam oporteat visus, cum erit inmotum mentum, sed |
|
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|
4681 libratam altitudinem in regionibus certa finitione designabit. </s><s>tunc, in quibus locis videbuntur umores concrispantes |
|
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4682 et in aera surgentes, ibi fodiatur; non enim in sicco loco |
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|
4683 hoc potest signum fieri. |
|
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|
4684 </s></p></subchap2> |
|
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|
4685 <subchap2><p type="main"><s> |
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|
4686 Item animadvertendum est quaerentibus aquam, quo |
|
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4687 genere sint loca; certa enim sunt, in quibus nascitur. </s><s>in |
|
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|
4688 creta tenuis et exilis et non alta est copia; ea erit non |
|
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|
4689 optimo sapore. </s><s>item sabulone soluto tenuis, sed inferioris |
|
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|
4690 loci invenietur; ea erit limosa et insuavis. </s><s>terra autem |
|
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|
4691 nigra sudores et stillae exiles inveniuntur, quae ex hibernis |
|
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|
4692 tempestatibus collectae in spissis et solidis locis subsidunt; |
|
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|
4693 haec habent optimum saporem. </s><s>glarea vero mediocres |
|
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|
4694 et non certae venae reperiuntur; hae quoque sunt egregia |
|
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|
4695 suavitate. </s><s>item sabulone masculo harenaque carbunculo |
|
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|
4696 certiores et stabiliores sunt copiae; eaeque sunt bono |
|
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|
4697 sapore. </s><s>rubro saxo et bonae et copiosae, si non per |
|
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|
4698 intervenia dilabantur et liquescant. </s><s>sub radicibus autem |
|
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|
4699 montium et in saxis silicibus uberiores et affluentiores; |
|
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|
4700 eaeque frigidiores sunt et salubriores. </s><s>campestribus autem |
|
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|
4701 fontibus salsae, graves, tepidae, non suaves, nisi quae ex |
|
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|
4702 montibus sub terra submanantes erumpunt in medios |
|
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|
4703 campos ibique arborum umbris contectae praestant montanorum fontium suavitatem. |
|
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|
4704 </s></p></subchap2> |
|
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|
4705 <subchap2><p type="main"><s> |
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|
4706 Signa autem, quibus terrarum generibus supra scriptum est, ea invenientur nascentia: |
|
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|
4707 tenuis iuncus, salix erratica, alnus, vitex, harundo, hedera |
|
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|
4708 aliaque, quae eiusmodi sunt, quae non possunt nasci per |
|
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|
4709 se sine umore. </s><s>solent autem eadem in lacunis nata esse, |
|
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|
4710 quae sidentes praeter reliquum agrum excipiunt ex imbribus |
|
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|
4711 et agris per hiemem propterque capacitatem diutius conservant umorem. </s><s>quibus non est credendum, sed quibus |
|
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|
4712 regionibus et terris, non lacunis, ea signa nascuntur, non |
|
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|
4713 sata, sed naturaliter per se procreata, ibi est quaerenda. |
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|
4714 </s></p></subchap2> |
|
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|
4715 <subchap2><p type="main"><s> |
|
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4716 In quibus si eae significabuntur inventiones, sic erunt experiundae. </s><s>fodiatur quoquoversus locus latus ne minus |
|
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|
4717 pedes <tres, altus pedes> quinque, in eoque conlocetur |
|
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|
4718 circiter solis occasum scaphium aereum aut plumbeum aut |
|
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|
4719 pelvis. </s><s>ex his quod erit paratum, id intrinsecus oleo ungatur ponaturque inversum, et summa fossura operiatur |
|
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4720 harundinibus aut fronde, supra terra obruatur; tum postero |
|
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4721 die aperiatur, et si in vaso stillae sudoresque erunt, is locus habebit aquam. |
|
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|
4722 </s></p></subchap2> |
|
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|
4723 <subchap2><p type="main"><s> |
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|
4724 Item si vasum ex creta factum non coctum in ea fossione eadem ratione opertum positum |
|
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4725 fuerit, si is locus aquam habuerit, cum apertum fuerit, |
|
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|
4726 vas umidum erit et iam dissolvetur ab umore. </s><s>vellusque |
|
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4727 lanae si conlocatum erit in ea fossura, insequenti autem |
|
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4728 die de eo aqua expressa erit, significabit eum locum habere |
|
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|
4729 copiam. </s><s>non minus si lucerna concinnata oleique plena |
|
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4730 et accensa in eo loco operta fuerit conlocata et postero |
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4731 die non erit exusta, sed habuerit reliquias olei et enlychnii ipsaque umida invenietur, indicabit eum locum |
|
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|
4732 habere aquam, ideo quod omnis tepor ad se ducit umores. </s><s>item in eo loco ignis factus si fuerit et percalefacta terra |
|
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4733 et adusta vaporem nebulosum ex se suscitaverit, is locus habebit aquam. |
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|
4734 </s></p></subchap2> |
|
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|
4735 <subchap2><p type="main"><s> |
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4736 Cum haec ita erunt pertemptata et, qua supra scripta sunt, signa inventa, tum deprimendus est |
|
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|
4737 puteus in eo loco, et si erit caput aquae inventum, plures |
|
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|
4738 circa sunt fodiendi et per specus in unum locum omnes |
|
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|
4739 conducendi. |
|
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|
4740 </s> |
|
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|
4741 </p><p type="main"><s> |
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|
4742 Haec autem maxime in montibus et regionibus septentrionalibus sunt quaerenda, eo quod in his et suaviora et |
|
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|
4743 salubriora et copiosiora inveniuntur. </s><s>aversi enim sunt |
|
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|
4744 solis cursui, et in his locis primum crebrae sunt arbores |
|
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|
4745 et silvosae, ipsique montes suas habent umbras obstantes |
|
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|
4746 et radii solis non directi perveniunt ad terram nec possunt |
|
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|
4747 </s></p></subchap2> |
|
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|
4748 <subchap2><p type="main"><s> |
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|
4749 Intervallaque montium maxime recipiunt |
|
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|
4750 imbres et propter silvarum crebritatem nives ab umbris |
|
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|
4751 arborum et montium ibi diutius conservantur, deinde |
|
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|
4752 liquatae per terrae venas percolantur et ita perveniunt |
|
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|
4753 ad infimas montium radices, ex quibus profluentes fontium |
|
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|
4754 erumpunt ructus. </s><s>campestribus autem locis contrario non |
|
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|
4755 possunt habere copias. </s><s>nam quaecumque sunt, non possunt |
|
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|
4756 habere salubritatem, quod solis vehemens impetus propter |
|
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|
4757 nullam obstantiam umbrarum eripit exhauriendo fervens |
|
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|
4758 ex planitie camporum umorem, et si quae sunt aquae |
|
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|
4759 apparentes, ex his, quod est levissimum tenuissimumque |
|
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|
4760 et subtili salubritate, aer avocans dissipat in impetum caeli, |
|
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|
4761 quaeque gravissimae duraeque et insuaves sunt partes, eae in fontibus campestribus relinquuntur. |
|
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|
4762 </s></p></subchap2> |
|
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|
4763 </subchap1> |
|
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|
4764 <subchap1> |
|
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|
4765 <subchap2><p type="main"><s> |
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|
4766 Itaque, quae ex imbribus aqua colligitur, salubriores habet virtutes, |
|
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|
4767 quod eligitur ex omnibus fontibus levissimis subtilibusque |
|
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|
4768 tenuitatibus, deinde per aeris exercitationem percolata |
|
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|
4769 tempestatibus liquescendo pervenit ad terram. </s><s>etiamque |
|
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|
4770 non crebriter in campis confluunt imbres, sed in montibus |
|
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|
4771 aut ad ipsos montes, ideo quod umores ex terra matutino |
|
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|
4772 solis ortu moti cum sunt egressi, in quamcumque partem |
|
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|
4773 caeli sunt proclinati, trudunt aera; deinde, cum sunt moti, |
|
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|
4774 propter vacuitatem loci post se recipiunt aeris ruentis undas. |
|
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|
4775 </s></p></subchap2> |
|
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|
4776 <subchap2><p type="main"><s> |
|
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|
4777 Aer autem, qui ruit, trudens quocumque umorem per vim spiritus impetus et undas crescentes facit ventorum. </s><s>a ventis autem quocumque feruntur umores conglobati |
|
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|
4778 ex fontibus et fluminibus et paludibus et pelago, cum |
|
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|
4779 tepores solis colligunt et exhauriunt et ita tollunt in altitudinem nubes. </s><s>deinde cum aeris unda nitentes, cum perventum ad montes, ab eorum offensa et procellis propter |
|
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|
4780 plenitatem et gravitatem liquescendo disparguntur et ita |
|
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|
4781 diffunditur in terras. |
|
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|
4782 </s></p></subchap2> |
|
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|
4783 <subchap2><p type="main"><s> |
|
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|
4784 Vaporem autem et nebulas et umores ex terra nasci |
|
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|
4785 haec videtur efficere ratio, quod ea habet in se et calores |
|
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|
4786 fervidos et spiritus inmanes refrigerationesque et aquarum |
|
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|
4787 magnam multitudinem. </s><s>ex eo, cum refrigeratum noctu sol |
|
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|
4788 oriens impetu tangit orbem terrae et ventorum flatus |
|
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|
4789 oriuntur per tenebras, ab umidis locis egrediuntur in altitudinem nubes. </s><s>aer autem cur a sole percalefactus cum rationibus tollit ex terra umores, licet ex balineis exemplum capere. |
|
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|
4790 </s></p></subchap2> |
|
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changeset
|
4791 <subchap2><p type="main"><s> |
|
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|
4792 Nullae enim camerae, quae sunt caldariorum, supra se possunt habere fontes, sed caelum, quod est ibi |
|
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|
4793 ex praefurniis ab ignis vapore percalefactum, corripit ex |
|
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|
4794 pavimentis aquam et aufert secum in camararum curvaturas et sustinet, ideo quod semper vapor calidus in altitudinem se trudit. </s><s>et primo non remittit propter brevitatem, simul autem plus umoris habet congestum, non |
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4795 potest sustinere propter gravitatem, sed stillat supra |
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|
4796 lavantium capita. </s><s>item eadem ratione caelestis aer, cum |
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4797 ab sole percepit calorem, ex omnibus locis hauriendo tollit |
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4798 umores et congregat ad nubes. </s><s>ita enim terra fervore |
|
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4799 tacta eicit umores, <ut> etiam corpus hominis ex calore emittit sudores. |
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|
4800 </s></p></subchap2> |
|
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|
4801 <subchap2><p type="main"><s> |
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4802 Indices autem sunt eius rei venti, ex |
|
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4803 quibus qui a frigidissimis partibus veniunt procreati, septentrio et aquilo, extenuatos siccitatibus in aere flatus |
|
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|
4804 spirant; auster vero et reliqui, qui a solis cursu impetum |
|
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4805 faciunt, sunt umidissimi et semper adportant imbres, quod |
|
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|
4806 percalefacti ab regionibus fervidis adveniunt et omnibus |
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|
4807 terris lambentes eripiunt umores et ita eos profundunt ad |
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|
4808 septentrionales regiones. |
|
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|
4809 </s></p></subchap2> |
|
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|
4810 <subchap2><p type="main"><s> |
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|
4811 Haec autem sic fieri testimonio possunt esse capita |
|
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4812 fluminum, quae orbe terrarum chorographiis picta itemque scripta plurima maximaque inveniuntur egressa ad |
|
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|
4813 septentrionem. </s><s>primumque in India Ganges et Indus ab |
|
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|
4814 Caucaso monte oriuntur; Syria Tigris et Euphrates; Asiae |
|
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|
4815 item Ponto Borysthenes, Hypanis, Tanais; Colchis Phasis; |
|
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4816 Gallia Rhodanus; Celtica Rhenus; citra Alpis Timavos et |
|
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|
4817 Padus; Italia Tiberis; Maurusia, quam nostri Mauretaniam |
|
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|
4818 appellant, ex monte Atlante Dyris, qui ortus ex septentrionali regione progreditur per occidentem ad lacum |
|
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|
4819 Eptagonum et mutato nomine dicitur Agger, deinde ex |
|
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|
4820 lacu Eptabolo sub montes desertos subterfluens per meridiana loca manat et influit in Paludem quae appellatur, |
|
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|
4821 circumcingit Meroen, quod est Aethiopum meridianorum |
|
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|
4822 regnum, ab hisque paludibus se circumagens per flumina |
|
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|
4823 Astansobam et Astoboam et alia plura pervenit per montes |
|
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|
4824 ad cataractam ab eoque se praecipitans per septentrionalem |
|
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|
4825 pervenit inter Elephantida et Syenen Thebaicosque in Aegyptum campos et ibi Nilus appellatur. |
|
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|
4826 </s></p></subchap2> |
|
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|
4827 <subchap2><p type="main"><s> |
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|
4828 Ex Mauretania autem caput Nili profluere ex eo maxime cognoscitur, |
|
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|
4829 quod ex altera parte montis Atlantis alia capita item profluentia ad occidentem Oceanum <petunt>, ibique nascuntur ichneumones, crocodili, aliae similes bestiarum pisciumque naturae praeter hippopotamos. |
|
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|
4830 </s></p></subchap2> |
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|
4831 <subchap2><p type="main"><s> |
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|
4832 Ergo cum omnia flumina magnitudinibus in orbis terrarum descriptionibus a septentrione videantur profluere |
|
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4833 Afrique campi, qui sunt in meridianis partibus subiecti |
|
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|
4834 solis cursui, latentes penitus habeant umores nec fontes |
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|
4835 crebros amnesque raros, relinquitur, uti multo meliora |
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|
4836 inveniantur capita fontium, quae ad septentrionem aut |
|
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|
4837 aquilonem spectant, nisi si inciderint in sulphurosum locum aut aluminosum seu bituminosum. </s><s>tunc enim permutantur <et> aut calidae aquae aut frigidae odore malo et sapore profundunt fontes. |
|
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|
4838 </s></p></subchap2> |
|
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|
4839 <subchap2><p type="main"><s> |
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|
4840 Neque enim calidae aquae est ulla proprietas, sed frigida aqua, cum incidit percurrens in ardentem locum, effervescit et percalefacta egreditur per venas extra terram. </s><s>ideo diutius non potest |
|
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|
4841 permanere, sed brevi spatio fit frigida. </s><s>namque si naturaliter esset calida, non refrigeraretur calor eius. </s><s>sapor autem |
|
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|
4842 et odor et color eius non restituitur, quod intinctus et |
|
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|
4843 commixtus est propter naturae raritatem. |
|
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|
4844 </s></p></subchap2> |
|
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|
4845 </subchap1> |
|
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|
4846 <subchap1> |
|
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|
4847 <subchap2><p type="main"><s> |
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|
4848 Sunt autem etiam nonnulli fontes calidi, ex quibus |
|
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|
4849 profluit aqua sapore optimo, quae in potione ita est suavis, uti nec fontalis ab Camenis nec Marcia saliens desideretur. </s><s>haec autem ab natura perficiuntur his rationibus. </s><s>cum in imo per alumen aut bitumen seu sulphur ignis |
|
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|
4850 excitatur, ardore percandefacit terram, quae est supra |
|
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|
4851 se; item fervidum emittit in superiora loca vaporem, et |
|
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|
4852 ita, si qui in îs locis, qui sunt supra, fontes dulcis aquae |
|
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|
4853 nascuntur, offensi eo vapore effervescunt inter venas et ita profluunt incorrupto sapore. |
|
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|
4854 </s></p></subchap2> |
|
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|
4855 <subchap2><p type="main"><s> |
|
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|
4856 Sunt etiam odore et sapore non bono frigidi fontes, qui ab inferioribus locis |
|
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|
4857 penitus orti per loca ardentia transeunt et ab eo per |
|
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|
4858 longum spatium terrae percurrentes refrigerati perveniunt |
|
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|
4859 supra terram sapore, odore coloreque corrupto, uti in |
|
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|
4860 Tiburtina via flumen Albula et in Ardeatino fontes frigidi eodem odore, qui sulphurati dicuntur, et reliquis |
|
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|
4861 locis similibus. </s><s>hi autem, cum sunt frigidi, ideo videntur |
|
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|
4862 aspectu fervere, quod, cum in ardentem locum alte penitus inciderunt, umore et igni inter se congruentibus offensa vehementi fragore validos recipiunt in se spiritus, |
|
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|
4863 et ita inflati vi venti coacti bullientes crebre per fontes |
|
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|
4864 egrediuntur. </s><s>ex his autem qui non sunt aperti, sed <grumis> |
|
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|
4865 aut saxis continentur, per angustas venas vehementia spiritus extruduntur ad summos grumorum tumulos. |
|
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|
4866 </s></p></subchap2> |
|
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|
4867 <subchap2><p type="main"><s> |
|
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|
4868 Itaque qui putant se altitudine, qua sunt grumi, capita fontium posse habere, cum aperiunt fossuras latius, decipiuntur. </s><s>namque uti aeneum vas non in summis labris plenum |
|
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|
4869 sed aquae mensurae suae capacitatis habens <e> tribus duas |
|
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|
4870 partes operculumque in eo conlocatum, cum ignis vehementi fervore tangatur, percalefieri cogit aquam, ea autem |
|
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|
4871 propter naturalem raritatem in se recipiens fervoris validam inflationem non modo implet vas, sed spiritibus extollens operculum et crescens abundat, sublato autem operculo emissis inflationibus in aere patenti rursus ad suum |
|
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|
4872 locum residit: ad eundem modum ea capita fontium cum |
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4873 sunt angustiis compressa, ruunt in summo spiritus aquae |
|
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|
4874 bullitus, simul autem sunt latius aperti, exanimati per |
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4875 raritates liquidae potestatis residunt et restituuntur in |
|
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|
4876 libramenti proprietatem. |
|
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|
4877 </s></p></subchap2> |
|
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|
4878 <subchap2><p type="main"><s> |
|
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|
4879 Omnis autem aqua calida ideo [quod] est medicamentosa, quod in pravis rebus percocta aliam virtutem recipit |
|
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|
4880 ad usum. </s><s>namque sulphurosi fontes nervorum labores |
|
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|
4881 reficiunt percalefaciendo exurendoque caloribus e corporibus umores vitiosos. </s><s>aluminosi autem, cum dissoluta membra corporum paralysi aut aliqua vi morbi receperunt, fovendo per patentes venas refrigerationem contraria caloris |
|
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|
4882 vi reficiunt, et hoc continenter restituuntur in antiquam |
|
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|
4883 membrorum curationem. </s><s>bituminosi autem interioris corporis vitia potionibus purgando solent mederi. |
|
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|
4884 </s></p></subchap2> |
|
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|
4885 <subchap2><p type="main"><s> |
|
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|
4886 Est autem aquae frigidae genus nitrosum, uti Pinnae Vestinae, Cutiliis aliisque locis similibus, quae potionibus depurgat per |
|
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|
4887 alvumque transeundo etiam strumarum minuit tumores. </s><s>ubi vero aurum, argentum, ferrum, aes, plumbum reliquaeque res earum similes fodiuntur, fontes inveniuntur copiosi, |
|
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|
4888 sed hi maxime sunt vitiosi. </s><s>habent enim, uti aquae calidae |
|
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4889 sulphur alumen bitumen, faecem, quae, per potiones cum |
|
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|
4890 in corpus iniit et per venas permanando nervos attingit |
|
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|
4891 et artus, eos durat inflando. </s><s>igitur nervi inflatione turgentes e longitudine contrahuntur et ita aut nervicos |
|
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|
4892 aut podagricos efficiunt homines, ideo quod ex durissimis |
|
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|
4893 et spissioribus rigidissimisque rebus intinctas habent venarum raritates. |
|
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|
4894 </s></p></subchap2> |
|
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|
4895 <subchap2><p type="main"><s> |
|
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|
4896 Aquae autem species est, quae cum habeat non satis perlucidas <gap/> et ipsa uti flos natat in |
|
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|
4897 summo, colore similis vitri purpurei. </s><s>haec maxime considerantur Athenis. </s><s>ibi enim ex eiusmodi locis et fontibus |
|
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|
4898 in asty et ad portum Piraeum ducti sunt salientes, e |
|
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|
4899 quibus bibit nemo propter eam causam, sed lavationibus |
|
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|
4900 et reliquis rebus utuntur, bibunt autem ex puteis et ita |
|
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|
4901 vitant eorum vitia. </s><s>Troezeni non potest id vitari, quod |
|
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|
4902 omnino aliud genus aquae non reperitur, nisi quod Cibdeli habeant; itaque in ea civitate aut omnes aut maxima |
|
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|
4903 parte sunt pedibus vitiosi. </s><s>Cilicia vero civitate Tarso |
|
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|
4904 flumen est nomine Cydnos, in quo podagrici crura macerantes levantur dolore. |
|
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|
4905 </s></p></subchap2> |
|
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|
4906 <subchap2><p type="main"><s> |
|
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|
4907 Sunt autem et alia multa genera, quae habent suas |
|
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|
4908 proprietates, ut in Sicilia flumen est Himeras, quod, a |
|
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|
4909 fonte cum est progressum, dividitur in duas partes; quae |
|
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|
4910 pars profluit contra Etruriam, quod per terrae dulcem |
|
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|
4911 sucum percurrit, est infinita dulcedine, quae altera parte |
|
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|
4912 per eam terram currit, unde sal foditur, salsum habet |
|
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|
4913 saporem. </s><s>item Paraetonio et quod est iter ad Ammonem |
|
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|
4914 et Casio ad Aegyptum lacus sunt palustres, qui ita sunt |
|
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|
4915 salsi, ut habeant insuper se salem congelatum. </s><s>sunt autem |
|
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|
4916 et aliis pluribus locis et fontes et flumina <et> lacus, qui |
|
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|
4917 per salifodinas percurrentes necessario salsi perficiuntur. |
|
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|
4918 </s></p></subchap2> |
|
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|
4919 <subchap2><p type="main"><s> |
|
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|
4920 Alii autem per pingues terrae venas profluentes uncti oleo |
|
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|
4921 fontes erumpunt, uti Solis, quod oppidum est Ciliciae, |
|
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|
4922 flumen nomine Liparis, in quo natantes aut lavantes ab |
|
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|
4923 ipsa aqua unguntur. </s><s>similiter Aethiopiae lacus est, qui |
|
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|
4924 unctos homines efficit, qui in eo nataverint, et India, qui |
|
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|
4925 sereno caelo emittit olei magnam multitudinem, item |
|
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|
4926 Carthagini fons, in quo natat insuper oleum, odore uti |
|
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|
4927 scobe citreo; quo oleo etiam pecora solent ungere. </s><s>Zacyntho et circa Dyrrachium et Apolloniam fontes sunt, |
|
22d6a63640c6
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|
4928 qui picis magnam multitudinem cum aqua evomunt. </s><s>Babylone lacus amplissima magnitudine, qui <foreign lang="greek">li/mnh a)sfa/ltitis</foreign> |
|
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|
4929 appellatur, habet supra natans liquidum bitumen; quo |
|
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|
4930 bitumine et latere testaceo structum murum Samiramis |
|
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|
4931 circumdedit Babyloni. </s><s>item Iope in Syria Arabiaque |
|
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|
4932 Nomadum lacus sunt inmani magnitudine, qui emittunt |
|
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|
4933 bituminis maximas moles, quas diripiunt qui habitant circa. |
|
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|
4934 </s></p></subchap2> |
|
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|
4935 <subchap2><p type="main"><s> |
|
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|
4936 Id autem non est mirandum; nam crebrae sunt ibi lapidicinae bituminis duri. </s><s>cum ergo per bituminosam terram |
|
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|
4937 vis erumpit aquae, secum extrahit et, cum sit egressa extra |
|
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|
4938 terram, secernitur et ita reicit ab se bitumen. </s><s>etiamque |
|
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|
4939 est in Cappadocia in itinere, quod est inter Mazaca et |
|
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|
4940 Tyana, lacus amplus, in quem lacum pars sive harundinis |
|
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|
4941 sive alii generis si demissa fuerit et postero die exempta, |
|
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|
4942 ea pars, quae fuerit exempta, invenietur lapidea, quae |
|
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|
4943 autem pars extra aquam manserit, permanet in sua proprietate. |
|
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|
4944 </s></p></subchap2> |
|
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|
4945 <subchap2><p type="main"><s> |
|
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|
4946 Ad eundem modum Hierapoli Phrygiae effervet |
|
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|
4947 aquae calidae multitudo, e quibus circum hortos et vineas |
|
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|
4948 fossis ductis inmittitur; haec autem efficitur post annum |
|
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|
4949 crusta lapidea. </s><s>ita quotannis dextra ac sinistra margines |
|
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|
4950 ex terra faciundo inducunt eam et efficiunt his crustis in |
|
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|
4951 agris saepta. </s><s>hoc autem ita videtur naturaliter fieri, quod |
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4952 in îs locis et ea terra, quibus [is] nascitur, sucus subest |
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4953 coaguli naturae similis; deinde cum commixta vis egreditur per fontes extra terram, a solis et aeris calore cogitur congelari, ut etiam in areis salinarum videtur. |
|
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4954 </s></p></subchap2> |
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4955 <subchap2><p type="main"><s> |
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4956 Item sunt ex amaro suco terrae fontes exeuntes vehementer |
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4957 amari, ut in Ponto est flumen Hypanis. <is> a capite |
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4958 profluit circiter milia <emph type="smallcaps"/>XL<emph.end/> sapore dulcissimo; deinde, cum |
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4959 pervenit ad locum, qui est ab ostio ad milia <emph type="smallcaps"/>CLX<emph.end/>, admiscetur ei fonticulus oppido quam parvulus. </s><s>is cum in eum |
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4960 influit, tunc tantam magnitudinem fluminis facit amaram, |
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4961 ideo quod per id genus terrae et venas, unde sandaracam |
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4962 fodiunt, ea aqua manando perficitur amara. |
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4963 </s></p></subchap2> |
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4964 <subchap2><p type="main"><s> |
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4965 Haec autem dissimilibus saporibus a terrae proprietate perficiuntur, uti etiam in fructibus videtur. </s><s>si enim |
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4966 radices arborum aut vitium aut reliquorum seminum non |
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4967 ex terrae proprietatibus sucum capiendo ederent fructus, |
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4968 uno genere essent in omnibus locis et regionibus omnium |
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4969 sapores. </s><s>sed animadvertimus insula Lesbo vinum protropum, Maeonia Catacecaumeniten, Lydia Tmoliten, Sicilia |
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4970 Mamertinum, Campania Falernum, Terracina et Fundis |
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4971 Caecubum reliquisque locis pluribus innumerabili multitudine genera vini virtutesque procreari. </s><s>quae non aliter |
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4972 possunt fieri, nisi, cum terrenus umor suis proprietatibus |
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4973 saporis in radicibus sit infusus, enutrit materiam, per quam |
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4974 egrediens ad cacumen profundat proprium loci et generis sui <in> fructus saporem. |
|
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4975 </s></p></subchap2> |
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4976 <subchap2><p type="main"><s> |
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4977 Quodsi terra generibus umorum non esset dissimilis et disparata, non tantum in Syria |
|
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4978 et Arabia in harundinibus et iuncis herbisque omnibus |
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4979 essent odores, neque arbores turiferae, neque piperis darent |
|
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4980 bacas, nec murrae glaebulae, nec Cyrenis in ferulis laser |
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4981 nasceretur, sed in omni terra regionibus eodem genere |
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4982 omnia procrearentur. </s><s>has autem varietates terrae umoris |
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4983 qualitatis regionibus et locis inclinatio mundi et solis impetus propius aut longius cursum faciendo tales efficit. </s><s>nec solum in his rebus, sed etiam in pecoribus et armentis |
|
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4984 haec non ita similiter efficerentur, nisi proprietates singularum terrarum <umorum> in regionibus ad solis potestatem temperarentur. |
|
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4985 </s></p></subchap2> |
|
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4986 <subchap2><p type="main"><s> |
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4987 Sunt enim Boeotiae flumina Cephisos |
|
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|
4988 et Melas, Lucanis Crathis, Troia Xanthus inque agris Clazomeniorum et Erythraeorum et Laodicensium fontes. </s><s>ad |
|
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4989 <ea> flumina cum pecora suis temporibus anni parantur ad |
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|
4990 conceptionem partus, per id tempus adiguntur eo cotidie |
|
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4991 potum, ex eoque, quamvis sint alba, procreant aliis locis |
|
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4992 leucophaea, aliis locis pulla, aliis coracino colore. </s><s>ita |
|
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4993 proprietas liquoris, cum inît in corpus, proseminat intinctam |
|
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4994 sui cuiusque generis qualitatem. </s><s>igitur quod in campis |
|
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|
4995 Troianis proxime flumen armenta rufa et pecora leucophaea |
|
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4996 nascuntur, ideo id flumen Ilienses Xanthum appellavisse |
|
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|
4997 dicuntur. |
|
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|
4998 </s></p></subchap2> |
|
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|
4999 <subchap2><p type="main"><s> |
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5000 Etiamque inveniuntur aquae genera mortifera, quae |
|
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|
5001 per maleficum sucum terrae percurrentia recipiunt in se |
|
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|
5002 vim venenatam, uti fuisse dicitur Terracinae fons, qui |
|
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|
5003 vocabatur Neptunius, ex quo qui biberant inprudentes, |
|
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|
5004 vita privabantur; quapropter antiqui eum obstruxisse dicuntur. </s><s>et Chrobsi Thracia lacus, ex quo non solum qui |
|
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|
5005 biberint, moriuntur, sed etiam qui laverint. </s><s>item in Thessalia fons est profluens, ex quo fonte nec pecus ullum |
|
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5006 gustat nec bestiarum genus ullum propius accedit; ad |
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|
5007 quem fontem proxime est arbor florens purpureo colore. |
|
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|
5008 </s></p></subchap2> |
|
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|
5009 <subchap2><p type="main"><s> |
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|
5010 Non minus in Macedonia quo loci sepultus est Euripides, |
|
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|
5011 dextra ac sinistra monumenti advenientes duo rivi concurrunt in unum, e quibus ad unum accumbentes viatores |
|
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|
5012 pransitare solent propter aquae bonitatem, ad rivum autem, |
|
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|
5013 qui est ex altera parte monumenti, nemo accedit, quod |
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|
5014 mortiferam aquam dicitur habere. </s><s>item est in Arcadia |
|
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|
5015 Nonacris nominata terrae regio, quae habet in montibus |
|
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|
5016 ex saxo stillantes frigidissimos umores. </s><s>haec autem aqua |
|
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|
5017 <foreign lang="greek">*stugo/s u(/dwr</foreign> nominatur, quam neque argenteum neque |
|
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|
5018 aeneum nec ferreum vas potest sustinere, sed dissilit et |
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|
5019 dissipatur. </s><s>conservare autem eam et continere nihil aliud |
|
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|
5020 potest nisi mulina ungula, qua etiam memoratur ab Antipatro in provinciam, ubi erat Alexander, per Iollam filium perlata esse et ab eo ea aqua regem esse necatum. |
|
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|
5021 </s></p></subchap2> |
|
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|
5022 <subchap2><p type="main"><s> |
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|
5023 Item Alpibus in Cottii regno est aqua, ex qua qui gustant, |
|
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|
5024 statim concidunt. </s><s>agro autem Falisco via Campana in |
|
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|
5025 campo Corneto est lucus, in quo fons oritur, ibique avium |
|
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|
5026 et lacertarum reliquarumque serpentium ossa iacentia |
|
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|
5027 apparent. |
|
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|
5028 </s> |
|
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|
5029 </p><p type="main"><s> |
|
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|
5030 Item sunt nonnullae acidae venae fontium, uti Lyncesto et in Italia Velino, Campania Teano aliisque locis |
|
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5031 pluribus, quae hanc habent virtutem, uti calculos, in vesicis qui nascuntur in corporibus hominum, potionibus discutiant. |
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5032 </s></p></subchap2> |
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5033 <subchap2><p type="main"><s> |
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5034 Fieri autem hoc naturaliter ideo videtur, quod acer |
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5035 et acidus sucus subest in ea terra, per quam egredientes |
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5036 venae intinguntur acritudine, et ita, cum in corpus inierunt, dissipant quae ex aquarum subsidentia in corporibus |
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5037 et concrescentia offenderunt. </s><s>quare autem discutiantur ex |
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5038 acidis eae res, sic possumus animadvertere. </s><s>ovum in aceto |
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5039 si diutius positum fuerit, cortex eius mollescet et dissolvetur. </s><s>item plumbum, quod est lentissimum et gravissimum, si in vase conlocatum fuerit et in eo acetum suffusum, id autem opertum et oblitum erit, efficietur, uti plumbum dissolvatur et fiat cerussa. |
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5040 </s></p></subchap2> |
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5041 <subchap2><p type="main"><s> |
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5042 Eisdem rationibus aes, quod etiam solidiore est natura, similiter curatum si |
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5043 fuerit, dissipabitur et fiet aerugo. </s><s>item margarita. </s><s>non |
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5044 minus saxa silicea, quae neque ferrum neque ignis potest |
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5045 per se dissolvere, cum ab igni sunt percalefacta, aceto |
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5046 sparso dissiliunt et dissolvuntur. </s><s>ergo cum has res ante |
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5047 oculos ita fieri videamus, ratiocinemur isdem rationibus |
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5048 ex acidis propter acritudinem suci etiam calculosos e |
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5049 natura rerum similiter posse curari. |
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5050 </s></p></subchap2> |
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5051 <subchap2><p type="main"><s> |
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5052 Sunt autem etiam fontes uti vino mixti, quemadmodum |
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5053 est unus Paphlagoniae, ex quo eam aquam sine vino potantes fiunt temulenti. </s><s>Aequiculis autem in Italia et in |
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5054 Alpibus natione Medullorum est genus aquae, quam qui bibunt, efficiuntur turgidis gutturibus. |
|
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|
5055 </s></p></subchap2> |
|
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|
5056 <subchap2><p type="main"><s> |
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5057 Arcadia vero civitas est non ignota Clitor, in cuius agris est spelunca profluens aqua, e qua qui biberint, fiunt abstemii. </s><s>ad eum |
|
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5058 autem fontem epigramma est in lapide inscriptum hac sententia versibus graecis: eam non esse idoneam ad lavandum, sed etiam inimicam vitibus, quod apud eum fontem Melampus sacrificiis purgavisset rabiem Proeti filiarum restituissetque earum virginum mentes in pristinam sanitatem. </s><s>epigramma autem est id, quod est subscriptum: </s> |
|
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|
5059 </p> |
|
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|
5060 <!-- replaces QUOTE --> |
|
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|
5061 <p type="main"><s><foreign lang="greek">a)gro/ta, su\n poi/mnais to\ meshmbrino\n h)/n se baru/nh|</foreign> |
|
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|
5062 <lb/><foreign lang="greek">di/yos a)n' e)sxatia\s *klei/toros e)rxo/menon</foreign>, |
|
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5063 <lb/><foreign lang="greek">tai=s me\n a)po\ krh/nhs a)/rusai po/ma kai\ para\ nu/mfais</foreign> |
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5064 <lb/><foreign lang="greek">u(dria/sin sth=son pa=n to\ so\n ai)po/lion:</foreign> |
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|
5065 <lb/><foreign lang="greek">a)lla\ su\ mh/t' e)pi\ loutra\ ba/lh|s xroi/, mh/ se kai\ au)/rh</foreign> |
|
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5066 <lb/><foreign lang="greek">ph</foreign><<foreign lang="greek">mh/</foreign>><foreign lang="greek">nh|</foreign> <<foreign lang="greek">terpnh=s</foreign>> <foreign lang="greek">e)nto\s e)o/nta me/qhs:</foreign> |
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5067 <lb/><foreign lang="greek">feu=ge d' e)mh\n phgh\n misa/mpelon, e)/nqa *mela/mpous</foreign> |
|
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5068 <lb/><foreign lang="greek">lusa/menos lu/sshs *proiti/das a)rteme/as</foreign> |
|
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|
5069 <lb/><foreign lang="greek">pa/nta kaqarmo\n e)/bayen a)po/krufon,</foreign> <<foreign lang="greek">eu)=t' a)/r' a)p' *)/argous</foreign> |
|
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5070 <lb/><foreign lang="greek">ou)/rea trhxei/hs h)/luqen *)arkadi/hs</foreign>><foreign lang="greek">.</foreign> |
|
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|
5071 </s></p> |
|
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|
5072 |
|
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|
5073 </subchap2> |
|
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|
5074 <subchap2><p type="main"><s> |
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|
5075 Item est in insula Cia fons, e quo qui inprudentes biberint, |
|
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|
5076 fiunt insipientes, et ibi est epigramma insculptum ea |
|
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|
5077 sententia: iucundam eam esse potionem fontis eius, sed |
|
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|
5078 qui biberit, saxeos habiturum sensus. </s><s>sunt autem versus hi: </s></p> |
|
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|
5079 <p type="main"><s><lb/><foreign lang="greek">h(dei=a yuxrou= po/matos liba/s, h(\n a)naba/llei</foreign> |
|
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|
5080 <lb/><<foreign lang="greek">phgh/, a)ll' a)/noos</foreign>> <foreign lang="greek">pe/tros o( th=sde piw/n.</foreign> |
|
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|
5081 </s></p></subchap2> |
|
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|
5082 <subchap2><p type="main"><s> |
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|
5083 Susis autem, in qua civitate est regnum Persarum, fonticulus est, ex quo qui biberint, amittunt dentes. </s><s>item in |
|
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|
5084 eo est scriptum epigramma, quod significat hanc sententiam: egregiam esse aquam ad lavandum, sed ea si bibatur, excutere e radicibus dentes. </s><s>et huius epigrammatos |
|
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|
5085 sunt versus graece: |
|
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|
5086 </s></p> |
|
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|
5087 <p type="main"><s><foreign lang="greek">u(/data krana/enta ble/peis, ce/ne, tw=n a)/po xersi\n</foreign> |
|
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|
5088 <lb/><foreign lang="greek">loutra\ me\n a)nqrw/poi</foreign><<foreign lang="greek">s a)blabh= e)/stin e)/xein:</foreign>> |
|
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|
5089 <lb/><foreign lang="greek">h)\n de\ la/bh|s koi/lou botanh/deos a)glao\n u(/dwr</foreign> |
|
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|
5090 <lb/><<foreign lang="greek">a)/kra mo/non dolixou= xei/leos a(ya/menos,</foreign>> |
|
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|
5091 <lb/><foreign lang="greek">au)th=mar pristh=res e)</foreign><<foreign lang="greek">pi\ xqoni\ daito\s o)do/ntes</foreign>> |
|
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|
5092 <lb/><foreign lang="greek">pi/ptousin, genu/wn o)rfana\ qe/ntes e(/dh.</foreign> |
|
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|
5093 </s></p></subchap2> |
|
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|
5094 <subchap2><p type="main"><s> |
|
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|
5095 Sunt etiam nonnullis locis fontium proprietates, quae |
|
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|
5096 procreant qui ibi nascuntur egregiis vocibus ad cantandum, uti Tarso, Magnesiae, aliis eiusmodi regionibus. </s><s>etiamque Zama est civitas Afrorum, cuius moenia rex Iuba |
|
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|
5097 duplici muro saepsit ibique regiam domum sibi constituit. </s><s>ab ea milia passus <emph type="smallcaps"/>XX<emph.end/> est oppidum Ismuc, cuius |
|
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|
5098 agrorum regiones incredibili finitae sunt terminatione. </s><s>cum esset enim Africa parens et nutrix ferarum bestiarum, |
|
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|
5099 maxime serpentium, in eius agris oppidi nulla nascitur, |
|
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|
5100 et si quando adlata ibi ponatur, statim moritur; neque id |
|
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|
5101 solum, sed etiam terra ex his locis si alio translata fuerit, |
|
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|
5102 et ibi. </s><s>id genus terrae etiam Balearibus dicitur esse. </s><s>sed aliam mirabiliorem virtutem ea habet terra, quam ego sic accepi. |
|
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|
5103 </s></p></subchap2> |
|
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|
5104 <subchap2><p type="main"><s> |
|
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|
5105 Gaius Iulius Masinissae filius, cuius erant |
|
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5106 totius oppidi agrorum possessiones, cum patre Caesare |
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5107 militavit. </s><s>is hospitio meo est usus. </s><s>ita cotidiano convictu necesse fuerat de philologia disputare. </s><s>interim cum |
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5108 esset inter nos de aquae potestate et eius virtutibus sermo, |
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5109 exposuit esse in ea terra eiusmodi fontes, ut, qui ibi procrearentur, voces ad cantandum egregias haberent, ideoque |
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5110 semper transmarinos catlastros emere formosos et puellas |
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5111 maturas eosque coniungere, ut, qui nascerentur ex his, non |
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5112 solum voce egregia sed etiam forma essent non invenusta. |
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5113 </s></p></subchap2> |
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5114 <subchap2><p type="main"><s> |
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5115 Cum haec tanta varietas sit disparibus rebus natura |
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5116 distributa <gap/> quod humanum corpus est ex aliqua |
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5117 parte terrenum, in eo autem multa genera sunt umorum, |
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5118 uti sanguinis, lactis, sudoris, urinae, lacrimarum. </s><s>ergo si |
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5119 in parva particula terreni tanta discrepantia invenitur |
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5120 saporum, non est mirandum, si tanta in magnitudine terrae |
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5121 innumerabiles sucorum reperientur varietates, per quarum |
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5122 venas aquae vis percurrens tincta pervenit ad fontium |
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5123 egressus, et ita ex eo dispares variique perficiuntur in |
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5124 propriis generibus fontes propter locorum discrepantiam |
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5125 et regionum qualitates terrarumque dissimiles proprietates. |
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5126 </s></p></subchap2> |
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5127 <subchap2><p type="main"><s> |
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5128 Ex his autem rebus sunt nonnulla, quae ego per |
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5129 me perspexi, cetera in libris graecis scripta inveni, quorum scriptorum hi sunt auctores: Theophrastos, Timaeus, |
|
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5130 Posidonios, Hegesias, Herodotus, Aristides, Metrodorus, |
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5131 qui magna vigilantia et infinito studio locorum proprietates, |
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5132 regionum qualitates, aquarum virtutes ab inclinatione |
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5133 caeli ita esse distributas scriptis dedicaverunt. </s><s>quorum |
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5134 secutus ingressus in hoc libro perscripsi quae satis esse |
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5135 putavi de aquae varietatibus, quo facilius ex his praescriptionibus eligant homines aquae fontes, quibus ad usum |
|
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5136 salientes possint ad civitates municipiaque perducere. |
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5137 </s></p></subchap2> |
|
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|
5138 <subchap2> |
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5139 <p type="main"><s> |
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5140 Nulla enim ex omnibus rebus tantas habere videtur ad |
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5141 usum necessitates, quantas aqua, ideo quod omnium animalium natura, si frumenti fructu privata fuerit, arbustivo |
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5142 aut carne aut piscatu aut etiam qualibet ex his reliquis |
|
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5143 rebus escarum utendo poterit tueri vitam, sine aqua |
|
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5144 vero nec corpus animalium nec ulla cibi virtus potest |
|
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5145 nasci nec tueri nec parari. </s><s>quare magna diligentia industriaque quaerendi sunt et eligendi fontes ad humanae |
|
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5146 vitae salubritatem. |
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|
5147 </s></p></subchap2> |
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|
5148 </subchap1> |
|
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|
5149 <subchap1> |
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5150 <subchap2><p type="main"><s> |
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5151 Expertiones autem et probationes eorum sic sunt providendae. </s><s>si erunt profluentes et aperti, antequam duci |
|
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5152 incipiantur, aspiciantur animoque advertantur, qua membratura sint qui circa eos fontes habitant homines; et |
|
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5153 si erunt corporibus valentibus, coloribus nitidis, cruribus |
|
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5154 non vitiosis, non lippis oculis, erunt probatissimi. </s><s>item |
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|
5155 si fons novus fossus fuerit, et in vas corinthium sive alterius generis, quod erit ex aere bono, ea aqua sparsa |
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5156 maculam non fecerit, optima est. </s><s>itemque in aeneo si |
|
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|
5157 ea aqua defervefacta et postea requieta et defusa fuerit, |
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|
5158 neque in eius aenei fundo harena aut limus invenietur, ea aqua erit item probata. |
|
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|
5159 </s></p></subchap2> |
|
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|
5160 <subchap2><p type="main"><s> |
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|
5161 Item si legumina in vas cum ea aqua coniecta ad ignem posita celeriter percocta fuerint, indicabunt aquam esse bonam et salubrem. </s><s>non |
|
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|
5162 etiam minus ipsa aqua, quae erit in fonte, si fuerit limpida et perlucida, quoque pervenerit aut profluxerit, muscus non nascetur neque iuncus, neque inquinatus ab |
|
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5163 aliquo inquinamento is locus fuerit, sed puram habuerit |
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5164 speciem, in<dica>bitur his signis esse tenuis et summa |
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|
5165 salubritate. |
|
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|
5166 </s></p></subchap2> |
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|
5167 </subchap1> |
|
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|
5168 <subchap1> |
|
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|
5169 <subchap2><p type="main"><s> |
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|
5170 Nunc de perductionibus ad habitationes moeniaque, ut |
|
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|
5171 fieri oporteat, explicabo. </s><s>cuius ratio est prima perlibratio. </s><s>libratur autem dioptris aut libris aquariis aut chorobate, |
|
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|
5172 sed diligentius efficitur per chorobaten, quod dioptrae |
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|
5173 libraeque fallunt. </s><s>chorobates autem est regula longa circiter pedum viginti. </s><s>ea habet ancones in capitibus extremis aequali modo perfectos inque regulae capitibus ad |
|
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|
5174 normam coagmentatos, et inter regulam et ancones a |
|
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|
5175 cardinibus compacta transversaria, quae habent lineas ad |
|
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|
5176 perpendiculum recte descriptas pendentiaque ex regula perpendicula in singulis partibus singula, quae, cum regula est |
|
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|
5177 conlocata aeque, tangendo aeque ac pariter lineas descriptionis indicant libratam conlocationem. |
|
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|
5178 </s></p></subchap2> |
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|
5179 <subchap2><p type="main"><s> |
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|
5180 Sin autem ventus interpellaverit et motionibus lineae non potuerint certam |
|
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|
5181 significationem facere, tunc habeat in superiore parte |
|
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|
5182 canalem longum pedes <emph type="smallcaps"/>V<emph.end/>, latum digitum, altum sesquidigitum, eoque aqua infundatur, et si aequaliter aqua |
|
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|
5183 canalis summa labra tanget, scietur esse libratum. </s><s>item |
|
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|
5184 eo chorobate cum perlibratum ita fuerit, scietur, quantum habuerit fastigii. |
|
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|
5185 </s></p></subchap2> |
|
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5186 <subchap2><p type="main"><s> |
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5187 Fortasse, qui Archimedis libros legit, |
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5188 dicet non posse fieri veram ex aqua librationem, quod |
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5189 ei placet aquam non esse libratam, sed sphaeroides habere |
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5190 schema et ibi habere centrum, quo loci habet orbis terrarum. </s><s>hoc autem, sive plana est aqua seu sphaeroides, |
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5191 necesse est, <ad> extrema capita dextra ac sinistra, cum |
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5192 librata regula erit, pariter sustinere regulam aquam; sin |
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5193 autem proclinatum habuerit regulae canalem, erit ex una |
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5194 parte, quae erit altior, non in summis labris aqua; necesse |
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5195 est enim, quocumque aqua sit infusa, in medio inflationem |
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5196 curvaturamque habere, sed capita dextra ac sinistra inter |
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5197 se librata esse. </s><s>exemplar autem chorobati erit in extremo volumine descriptum. </s><s>et si erit fastigium magnum, |
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5198 facilior erit decursus aquae; sin autem intervalla erunt |
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5199 lacunosa, substructionibus erit succurrendum. |
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5200 </s></p></subchap2> |
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5201 </subchap1> |
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5202 <subchap1> |
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5203 <subchap2><p type="main"><s> |
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5204 Ductus autem aquae fiunt generibus tribus: rivis per |
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5205 canales structiles, aut fistulis plumbeis, seu tubulis fictilibus. </s><s>quorum hae sunt rationes. </s><s>si canalibus, ut structura fiat quam solidissima, solumque rivi libramenta habeat |
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5206 fastigata ne minus in centenos pedes sicilico. </s><s>eaeque structurae confornicentur, ut minime sol aquam tangat. </s><s>cumque venerit ad moenia, efficiatur castellum et castello |
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5207 coniunctum ad recipiendam aquam triplex inmissarium, |
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5208 conlocenturque in castello tres fistulae aequaliter divisae |
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5209 intra receptacula coniuncta, uti, cum abundaverit ab extremis, in medium receptaculum redundet. |
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5210 </s></p></subchap2> |
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5211 <subchap2><p type="main"><s> |
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5212 Ita in medio ponentur fistulae in omnes lacus et salientes, ex altero in |
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5213 balneas †vectigal quotannis populo praestent, ex quibus |
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5214 tertio in domus privatas, ne desit in publico, non enim |
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5215 poterint avertere, cum habuerint a capitibus proprias ductiones. </s><s>haec autem quare divisa constituerim, hae sunt |
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5216 causae, uti qui privatim ducent in domos vectigalibus tueantur per publicanos aquarum ductus. |
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5217 </s></p></subchap2> |
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5218 <subchap2><p type="main"><s> |
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5219 Sin autem medii montes erunt inter moenia et caput fontis, sic erit |
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5220 faciendum, uti specus fodiantur sub terra librenturque ad |
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5221 fastigium, quod supra scriptum est. </s><s>et si tofus erit aut |
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5222 saxum, in suo sibi canalis excidatur, sin autem terrenum |
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5223 aut harenosum erit, solum et parietes cum camara in specu |
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5224 struantur et ita perducatur. </s><s>puteique ita sint facti, uti |
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5225 inter duos sit actus. |
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5226 </s></p></subchap2> |
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5227 <subchap2><p type="main"><s> |
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5228 Sin autem fistulis plumbeis ducetur, primum castellum |
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5229 ad caput struatur, deinde ad copiam aquae lumen fistularum constituatur, eaeque fistulae <e> castello conlocentur ad castellum, quod erit in moenibus. </s><s>fistulae ne minus |
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5230 longae pedum denûm fundantur. </s><s>quae si centenariae erunt, |
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5231 pondus habeant in singulas pondo <emph type="smallcaps"/>MCC<emph.end/>; si octogenariae, |
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5232 pondo <emph type="smallcaps"/>DCCCCLX<emph.end/>; si quinquagenariae, pondo <emph type="smallcaps"/>DC<emph.end/>; quadragenariae pondo <emph type="smallcaps"/>CCCCLXXX<emph.end/>; tricenariae pondo <emph type="smallcaps"/>CLX<emph.end/>; vicenariae |
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5233 pondo <emph type="smallcaps"/>CCXL<emph.end/>; quinûm denûm pondo <emph type="smallcaps"/>CLXXX<emph.end/>; denûm pondo |
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5234 <emph type="smallcaps"/>CXX<emph.end/>; octonûm pondo <emph type="smallcaps"/>C<emph.end/>; quinariae pondo <emph type="smallcaps"/>LX<emph.end/>. e latitudine |
|
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5235 autem lamnarum, quot digitos habuerint, antequam in |
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5236 rotundationem flectantur, magnitudinum ita nomina concipiunt fistulae. </s><s>namque quae lamna fuerit digitorum quinquaginta, cum fistula perficietur ex ea lamna, vocabitur quinquagenaria similiterque reliquae. |
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5237 </s></p></subchap2> |
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5238 <subchap2><p type="main"><s> |
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5239 Ea autem ductio, quae per fistulas plumbeas est futura, hanc habebit expeditionem. </s><s>quodsi caput habeat libramenta ad moenia |
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5240 montesque medii non fuerint altiores, ut possint interpellare, sed intervalla, necesse est substruere ad libramenta, |
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5241 quemadmodum in rivis et canalibus. </s><s>sin autem non longa |
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5242 erit circumitio, circumductionibus, sin autem valles erunt |
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5243 perpetuae, in declinato loco cursus dirigentur. </s><s>cum venerint ad imum, non alte substruitur, ut sit libramentum |
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5244 quam longissimum; hoc autem erit venter, quod Graeci |
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5245 appellant <foreign lang="greek">*koili/an</foreign>. deinde cum venerit adversus clivum, |
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5246 ex longo spatio ventris leniter tumescit, <ut> exprimatur in altitudinem summi clivi. |
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5247 </s></p></subchap2> |
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5248 <subchap2><p type="main"><s> |
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5249 Quodsi non venter in vallibus factus fuerit nec substructum ad libram factum, sed geniculus erit, erumpet et dissolvet fistularum commissuras. </s><s>etiam in ventre colliquiaria sunt facienda, per quae vis |
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5250 spiritus relaxetur. </s><s>ita per fistulas plumbeas aquam qui |
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5251 ducent, his rationibus bellissime poterunt efficere, quod et |
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5252 decursus et circumductiones et ventres et expressus hac |
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5253 ratione possunt fieri, cum habebunt a capitibus ad moenia fastigii libramenta. |
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5254 </s></p></subchap2> |
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|
5255 <subchap2><p type="main"><s> |
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5256 Item inter actus ducentos non est inutile castella conlocari, ut, si quando vitium aliqui locus |
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5257 fecerit, non totum omneque opus contundatur et, in quibus locis sit factum, facilius inveniatur; sed ea castella |
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5258 neque in decursu neque in ventris planitia neque in expressionibus neque omnino in vallibus, sed in perpetua |
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5259 <fiant> aequalitate. |
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|
5260 </s></p></subchap2> |
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|
5261 <subchap2><p type="main"><s> |
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5262 Sin autem minore sumptu voluerimus, sic est faciendum. </s><s>tubuli crasso corio ne minus duorum digitorum fiant, |
|
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5263 sed ita hi tubuli ex una parte sint lingulati, ut alius in |
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5264 alium inire convenireque possint. </s><s>coagmenta autem eorum |
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5265 calce viva ex oleo subacta sunt inlinienda, et in declinationibus libramenti ventris lapis est ex saxo rubro in ipso |
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5266 geniculo conlocandus isque perterebratus, uti ex decursu |
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5267 tubulus novissimus in lapide coagmentetur et primus [ex] |
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5268 librati ventris; ad eundem modum adversum clivum et |
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5269 novissimus librati ventris in cavo saxi rubri haereat et primus expressionis ad eundem modum coagmentetur. |
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5270 </s></p></subchap2> |
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5271 <subchap2><p type="main"><s> |
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5272 Ita librata planitia tubulorum ad decursus et expressiones |
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5273 non extolletur. </s><s>namque vehemens spiritus in aquae ductione solet nasci, ita ut etiam saxa perrumpat, nisi primum |
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5274 leniter et parce a capite aqua inmittatur et in geniculis |
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5275 aut versuris alligationibus aut pondere saburra contineatur. </s><s>reliqua omnia uti fistulis plumbeis ita sunt conlocanda. </s><s>item cum primo aqua a capite inmittitur, ante favilla inmittetur, uti coagmenta, si qua sunt non satis oblita, favilla oblinantur. |
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5276 </s></p></subchap2> |
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5277 <subchap2><p type="main"><s> |
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5278 habent autem tubulorum ductiones ea commoda. </s><s>primum in opere quod si quod vitium factum fuerit, quilibet id potest reficere. </s><s>etiamque |
|
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5279 multo salubrior est ex tubulis aqua quam per fistulas, |
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5280 quod plumbum videtur esse ideo vitiosum, quod ex eo |
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5281 cerussa nascitur; haec autem dicitur esse nocens corporibus humanis. </s><s>ita quod ex eo procreatur, <si> id est vitiosum, non est dubium, quin ipsum quoque non sit salubre. |
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5282 </s></p></subchap2> |
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5283 <subchap2><p type="main"><s> |
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5284 Exemplar autem ab artificibus plumbariis possumus accipere, quod palloribus occupatos habent corporis colores. </s><s>namque cum fundendo plumbum flatur, vapor ex eo insidens corporis artus et in diem exurens eripit ex membris eorum sanguinis virtutes. </s><s>itaque minime fistulis |
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5285 plumbeis aqua duci videtur, si volumus eam habere salubrem. </s><s>saporemque meliorem ex tubulis esse cotidianus |
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5286 potest indicare victus, quod omnes, et structas cum habeant |
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5287 vasorum argenteorum mensas, tamen propter saporis integritatem fictilibus utuntur. |
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5288 </s></p></subchap2> |
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5289 <subchap2><p type="main"><s> |
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5290 Sin autem fontes <non sunt>, unde ductiones aquarum |
|
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5291 faciamus, necesse est puteos fodere. </s><s>in puteorum autem |
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5292 fossionibus non est contemnenda ratio, sed acuminibus |
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5293 sollertiaque magna naturales rerum rationes considerandae, |
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5294 quod habet multa variaque terra in se genera. </s><s>est enim |
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5295 uti reliquae res ex quattuor principiis composita. </s><s>et |
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5296 primum est ipsa terrena habetque ex umore aquae fontes, |
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5297 item calores, unde etiam sulphur, alumen, bitumen nascitur, aerisque spiritus inmanes, qui, cum graves per intervenia fistulosa terrae perveniunt ad fossionem puteorum |
|
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5298 et ibi homines offendunt fodientes, vi naturali vaporis |
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5299 obturant eorum naribus spiritus animales; ita, qui non celerius inde effugiunt, ibi interimuntur. |
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5300 </s></p></subchap2> |
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5301 <subchap2><p type="main"><s> |
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5302 Hoc autem quibus rationibus caveatur, sic erit faciendum. </s><s>lucerna accensa |
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|
5303 demittatur; quae si permanserit ardens, sine periculo descendetur. </s><s>sin autem eripietur lumen a vi vaporis, tunc secundum puteum dextra ac sinistra defodiantur aestuaria; |
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5304 ita quemadmodum per nares spiritus ex aestu<ariis> dissipabuntur. </s><s>cum haec sic explicata fuerint et ad aquam |
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5305 erit perventum, tunc saepiatur as<sa> structura, ne obturentur venae. |
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|
5306 </s></p></subchap2> |
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|
5307 <subchap2><p type="main"><s> |
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|
5308 Sin autem loca dura erunt aut nimium venae penitus |
|
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|
5309 fuerint, tunc signinis operibus ex tectis aut superioribus |
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|
5310 locis excipiendae sunt copiae. </s><s>in signinis autem operibus |
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5311 haec sunt facienda. </s><s>uti harena primum purissima asperrimaque paretur, caementum de silice frangatur ne gravius |
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5312 quam librarium, calx quam vehementissima mortario mixta, |
|
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5313 ita ut quinque partes harenae ad duas respondeant. </s><s>eorum |
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5314 fossa ad libramentum altitudinis, quod est futurum, calcetur vectibus ligneis ferratis. |
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|
5315 </s></p></subchap2> |
|
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|
5316 <subchap2><p type="main"><s> |
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|
5317 Parietibus calcatis, in medio |
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|
5318 quod erit terrenum, exinaniatur ad libramentum infimum |
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|
5319 parietum. </s><s>hoc exaequato solum calcetur ad crassitudinem, |
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|
5320 quae constituta fuerit. </s><s>ea autem si duplicia aut triplicia |
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|
5321 facta fuerint, uti percolationibus transmutari possint, multo |
|
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|
5322 salubriorem et suaviorem aquae usum efficient; limus enim |
|
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|
5323 cum habuerit, quo subsidat, limpidior fiet et sine odoribus |
|
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|
5324 conservabit saporem. </s><s>si non, salem addi necesse erit et |
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|
5325 extenuari. |
|
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|
5326 </s> </p><p type="main"><s> |
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|
5327 Quae potui de aquae virtute et varietate, quasque habeat |
|
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|
5328 utilitates quibusque rationibus ducatur et probetur, in |
|
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5329 hoc volumine posui; de gnomonicis vero rebus et horologiorum rationibus insequenti perscribam. |
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|
5330 </s></p></subchap2> |
|
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|
5331 </subchap1> |
|
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|
5332 </chap> |
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|
5333 <chap> |
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|
5334 <!-- 9,t,1,1 --> |
|
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|
5335 <p type="head"><s>LIBER NONUS</s></p> |
|
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|
5336 <subchap1> |
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|
5337 <subchap2><p type="main"><s> |
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5338 Nobilibus athletis, qui Olympia, Pythia, Isthmia, Nemea vicissent, Graecorum maiores ita magnos honores |
|
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|
5339 constituerunt, uti non modo in conventu stantes cum palma |
|
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|
5340 et corona ferant laudes, sed etiam, cum revertantur in |
|
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|
5341 suas civitates cum victoria, triumphantes quadrigis in |
|
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5342 moenia et in patrias invehantur e reque publica perpetua vita constitutis vectigalibus fruantur. </s><s>cum ergo id |
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5343 animadvertam, admiror, quid ita non scriptoribus eidem |
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5344 honores etiamque maiores sint tributi, qui infinitas utilitates aevo perpetuo omnibus gentibus praestant. </s><s>id enim |
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5345 magis erat institui dignum, quod athletae sua corpora |
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5346 exercitationibus efficiunt fortiora, scriptores non solum |
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5347 suos sensus, sed etiam omnium, <cum> libris ad discendum et animos exacuendos praeparant praecepta. |
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5348 </s></p></subchap2> |
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5349 <subchap2><p type="main"><s> |
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5350 Quid enim Milo Crotoniates, quod fuit invictus, prodest hominibus aut ceteri, qui eo genere fuerunt victores, nisi quod, |
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5351 dum vixerunt ipsi, inter suos cives habuerunt nobilitatem. </s><s>Pythagorae vero praecepta, Democriti, Platonis, Aristotelis |
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5352 ceterorumque sapientium cotidiana perpetuis industriis |
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5353 culta non solum suis civibus, sed etiam omnibus gentibus |
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5354 recentes et floridos edunt fructus. </s><s>e quibus qui a teneris |
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5355 aetatibus doctrinarum abundantia satiantur, optimos habent sapientiae sensus, instituunt civitatibus humanitatis |
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5356 mores, aequa iura, leges, quibus absentibus nulla potest esse civitas incolumis. |
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5357 </s></p></subchap2> |
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5358 <subchap2><p type="main"><s> |
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5359 Cum ergo tanta munera ab scriptorum prudentia privatim publiceque fuerint hominibus |
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5360 praeparata, non solum arbitror palmas et coronas his tribui oportere, sed etiam decerni triumphos et inter deorum |
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5361 sedes eos dedicandos iudicari. |
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5362 </s> |
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5363 </p><p type="main"><s> |
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5364 Eorum autem cogitata utiliter hominibus ad vitam explicandam e pluribus singula paucorum uti exempla ponam, quae recognoscentes necessario his tribui honores oportere homines confitebuntur. |
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5365 </s></p></subchap2> |
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5366 <subchap2><p type="main"><s> |
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5367 Et primum Platonis e multis ratiocinationibus utilissimis unam, quemadmodum |
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5368 ab eo explicata sit, ponam. </s><s>locus aut ager paribus lateribus si erit quadratus eumque oportuerit duplicare, quod |
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5369 opus fuerit genere numeri, quod multiplicationibus non |
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5370 invenitur, eo descriptionibus linearum emendatius reperitur. </s><s>est autem eius rei haec demonstratio. </s><s>quadratus locus, |
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5371 qui erit longus et latus pedes denos, efficit areae pedes c. </s><s>si ergo opus fuerit eum duplicare id est pedum <emph type="smallcaps"/>CC<emph.end/> item |
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5372 e paribus lateribus facere, quaerendum erit, quam magnum |
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5373 latus eius quadrati fiat, ut ex eo <emph type="smallcaps"/>CC<emph.end/> pedes duplicationibus |
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5374 areae respondeant. </s><s>id autem numero nemo potest invenire. </s><s>namque si <emph type="smallcaps"/>XIIII<emph.end/> constituentur, erunt multiplicati pedes <emph type="smallcaps"/>CXCVI<emph.end/>, si <emph type="smallcaps"/>XV<emph.end/>, pedes <emph type="smallcaps"/>CCXXV<emph.end/>. |
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5375 </s></p></subchap2> |
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5376 <subchap2><p type="main"><s> |
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5377 Ergo quoniam id non explicatur numero, in eo quadrato, longo et lato pedes <emph type="smallcaps"/>X<emph.end/> quod fuerit, |
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5378 linea ab angulo ad angulum diagonios perducatur, uti |
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5379 dividantur duo trigona aequa magnitudine, singula areae |
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5380 pedum quinquagenûm, ad eiusque lineae diagonalis longitudinem locus quadratus paribus lateribus describatur. </s><s>ita |
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5381 quam magna duo trigona in minore quadrato quinquagenûm pedum linea diagonio fuerint designata, eadem |
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5382 magnitudine et eodem pedum numero quattuor in maiore |
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5383 erunt effecta. </s><s>hac ratione duplicatio grammicis rationibus |
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5384 ab Platone, uti schema subscriptum est in ima pagina, |
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5385 explicata est. |
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5386 </s></p></subchap2> |
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5387 <subchap2><p type="main"><s> |
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5388 Item Pythagoras normam sine artificis fabricationibus |
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5389 inventam ostendit, et quod magno labore fabri normam |
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5390 facientes vix ad verum perducere possunt, id rationibus |
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5391 et methodis emendatum ex eius praeceptis explicatur. </s><s>namque si sumantur regulae tres, e quibus una sit pedes |
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5392 <emph type="smallcaps"/>III<emph.end/>, altera pedes <emph type="smallcaps"/>IIII<emph.end/>, tertia pedes <emph type="smallcaps"/>V<emph.end/>, eaeque regulae inter |
|
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5393 se compositae tangant alia aliam suis cacuminibus extremis |
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5394 schema habentes trigoni, deformabunt normam emendatam. </s><s>ad eas autem regularum singularum longitudines si singula |
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5395 quadrata paribus lateribus describantur, quod erit trium |
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5396 latus, areae habebit pedes <emph type="smallcaps"/>VIIII<emph.end/>, quod <emph type="smallcaps"/>IIII<emph.end/>, <emph type="smallcaps"/>XVI<emph.end/>, quod <emph type="smallcaps"/>V<emph.end/> erit, <emph type="smallcaps"/>XXV<emph.end/>. |
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5397 </s></p></subchap2> |
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5398 <subchap2><p type="main"><s> |
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5399 Ita quantum areae pedum numerum duo quadrata |
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5400 ex tribus pedibus longitudinis laterum et quattuor efficiunt, |
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5401 aeque tantum numerum reddit id unum ex quinque descriptum. </s><s>id Pythagoras cum invenisset, non dubitans a |
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5402 Musis se in ea inventione monitum, maximas gratias agens |
|
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5403 hostias dicitur his immolavisse. </s><s>ea autem ratio, quemadmodum in multis rebus et mensuris est utilis, etiam in |
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5404 aedificiis scalarum aedificationibus, uti temperatas habeant graduum librationes, est expedita. |
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5405 </s></p></subchap2> |
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5406 <subchap2><p type="main"><s> |
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5407 Si enim altitudo contignationis ab summa coaxatione ad imum libramentum |
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5408 divisa fuerit in partes tres, erit earum quinque in scalis |
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5409 scaporum iusta longitudine inclinatio. <quare> quam magnae |
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5410 fuerint inter contignationem et imum libramentum altitudinis partes tres, quattuor a perpendiculo recedant et |
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5411 ibi conlocentur inferiores calces scaporum. </s><s>ita si erunt |
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5412 temperatae, <libratae> et graduum ipsarum scalarum erunt |
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5413 conlocationes. </s><s>item eius rei erit subscripta forma. |
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5414 </s></p></subchap2> |
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5415 <subchap2><p type="main"><s> |
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5416 Archimedis vero cum multa miranda inventa et varia |
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5417 fuerint, ex omnibus etiam infinita sollertia id, quod exponam, videtur esse expressum. </s><s>nimirum Hiero enim Syracusis auctus regia potestate, rebus bene gestis cum |
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5418 auream coronam votivam diis inmortalibus in quodam |
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5419 fano constituisset ponendam, manupretio locavit faciendam |
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5420 et aurum ad sacomam adpendit redemptori. </s><s>is ad tempus |
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5421 opus manu factum subtiliter regi adprobavit et ad sacomam pondus coronae visus est praestitisse. |
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5422 </s></p></subchap2> |
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5423 <subchap2><p type="main"><s> |
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5424 Posteaquam indicium est factum dempto auro tantundem argenti in id |
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5425 coronarium opus admixtum esse, indignatus Hiero se contemptum esse neque inveniens, qua ratione id furtum reprehenderet, rogavit Archimeden, uti in se sumeret sibi de |
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5426 eo cogitationem. </s><s>tunc is, cum haberet eius rei curam, |
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5427 casu venit in balineum, ibique cum in solium descenderet, |
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5428 animadvertit, quantum corporis sui in eo insideret, tantum |
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5429 aquae extra solium effluere. </s><s>idque cum eius rei rationem |
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5430 explicationis ostendisset, non est moratus, sed exsiluit |
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5431 gaudio motus de solio et nudus vadens domum <uni>versis |
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5432 significabat clara voce invenisse, quod quaereret; nam currens identidem graece clamabat <foreign lang="greek">eu(/rhka eu(/rhka</foreign>. |
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5433 </s></p></subchap2> |
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5434 <subchap2><p type="main"><s> |
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5435 Tum vero ex eo inventionis ingressu duas fecisse dicitur massas |
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5436 aequo pondere, quo etiam fuerat corona, unam ex auro et |
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5437 alteram ex argento. </s><s>cum ita fecisset, vas amplum ad |
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5438 summa labra implevit aquae, in quo demisit argenteam |
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5439 massam. </s><s>cuius quanta magnitudo in vasum depressa est, |
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5440 tantum aquae effluxit. </s><s>ita exempta massa quanto minus |
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5441 factum fuerat, refudit sextario mensus, ut eodem modo, |
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5442 quo prius fuerat, ad labra aequaretur. </s><s>ita ex eo invenit, |
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5443 quantum pondus argenti ad certam aquae mensuram responderet. |
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5444 </s></p></subchap2> |
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5445 <subchap2><p type="main"><s> |
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5446 Cum id expertus esset, tum auream massam |
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5447 similiter pleno vaso demisit et ea exempta, eadem ratione |
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5448 mensura addita invenit ex aquae numero sextantum minore, |
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5449 quanto minus magno corpore eodem pondere auri massa |
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5450 esset quam argenti. </s><s>postea vero repleto vaso in eadem |
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5451 aqua ipsa corona demissa invenit plus aquae defluxisse in |
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5452 corona quam in aurea eodem pondere massa, et ita ex eo, |
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5453 quod fuerat plus aquae in corona quam in massa, ratiocinatus reprehendit argenti in auro mixtionem et manifestum furtum redemptoris. |
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5454 </s></p></subchap2> |
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5455 <subchap2><p type="main"><s> |
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5456 Transferatur mens ad Archytae Tarentini et Eratosthenis Cyrenaei cogitata; hi enim multa et grata a |
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5457 mathematicis rebus hominibus invenerunt. </s><s>itaque cum in |
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5458 ceteris inventionibus fuerint grati, in eius rei cogitationibus |
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5459 maxime sunt suspecti. </s><s>alius enim alia ratione explicaverunt, quod Delo imperaverat responsis Apollo, uti arae |
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5460 eius, quantum haberent pedum quadratorum, id duplicarentur, et ita fore uti, qui essent in ea insula, tunc religione liberarentur. |
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5461 </s></p></subchap2> |
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5462 <subchap2><p type="main"><s> |
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5463 Itaque Archytas cylindrorum descriptionibus, Eratosthenes organica mesolabi ratione idem |
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5464 explicaverunt. </s><s>cum haec sint tam magnis doctrinarum iucunditatibus animadversa et cogamur naturaliter inventionibus singularum rerum considerantes effectus moveri, |
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5465 multas res attendens admiror etiam Democriti de rerum |
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5466 natura volumina et eius commentarium, quod inscribitur |
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5467 <foreign lang="greek">*xeirokmh/twn</foreign>, †in quo etiam utebatur anulo signaretur |
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5468 amolcie est expertus. |
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5469 </s></p></subchap2> |
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5470 <subchap2><p type="main"><s> |
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5471 Ergo eorum virorum cogitata non solum ad mores |
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5472 corrigendos, sed etiam ad omnium utilitatem perpetuo sunt |
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5473 praeparata, athletarum autem nobilitates brevi spatio |
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5474 cum suis corporibus senescunt. </s><s>itaque neque cum maxime |
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5475 sunt florentes neque posteritati hi, quemadmodum sapientium cogitata hominum vitae, prodesse possunt. |
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5476 </s></p></subchap2> |
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|
5477 <subchap2><p type="main"><s> |
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5478 Cum vero neque moribus neque institutis scriptorum praestantibus |
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5479 tribuantur honores, ipsae [autem] per se mentes aeris altiora prospicientes memoriarum gradibus ad caelum elatae |
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5480 aevo inmortali non modo sententias sed etiam figuras |
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5481 eorum posteris cogunt esse notas. </s><s>itaque, qui litterarum |
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5482 iucunditatibus instinctas habent mentes, non possunt non |
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5483 in suis pectoribus dedicatum habere, sicuti deorum, sic |
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5484 Ennii poetae simulacrum; Accii autem carminibus qui studiose delectantur, non modo verborum virtutes sed etiam |
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5485 figuram eius videntur secum habere praesentem [esse]. |
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5486 </s></p></subchap2> |
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5487 <subchap2><p type="main"><s> |
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5488 Item plures post nostram memoriam nascentes cum Lucretio |
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5489 videbuntur velut coram de rerum natura disputare, de |
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5490 arte vero rhetorica cum Cicerone, multi posterorum cum |
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5491 Varrone conferent sermonem de lingua latina, non minus |
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5492 etiam plures philologi cum Graecorum sapientibus multa |
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5493 deliberantes secretos cum his videbuntur habere sermones, |
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5494 et ad summam sapientium scriptorum sententiae corporibus absentibus vetustate florentes cum insunt inter consilia et disputationes, maiores habent, quam praesentium sunt, auctoritates omnes. |
|
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|
5495 </s></p></subchap2> |
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|
5496 <subchap2><p type="main"><s> |
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5497 Itaque, Caesar, his auctoribus fretus sensibus eorum adhibitis et consiliis ea volumina |
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5498 conscripsi, et prioribus septem de aedificiis, octavo de aquis, |
|
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|
5499 in hoc de gnomonicis rationibus, quemadmodum de radiis |
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5500 solis in mundo sunt per umbras gnomonis inventae quibusque rationibus dilatentur aut contrahantur, explicabo. |
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5501 </s></p></subchap2> |
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5502 </subchap1> |
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5503 <subchap1> |
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5504 <subchap2><p type="main"><s> |
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5505 Ea autem sunt divina mente comparata habentque |
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5506 admirationem magnam considerantibus, quod umbra gnomonis aequinoctialis alia magnitudine est Athenis, alia |
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5507 Alexandriae, alia Romae, non eadem Placentiae ceterisque |
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5508 orbis terrarum locis. </s><s>itaque longe aliter distant descriptiones horologiorum locorum mutationibus. </s><s>umbrarum |
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5509 enim aequinoctialium magnitudinibus designantur analemmatorum formae, e quibus perficiuntur ad rationem locorum et umbrae gnomonum horarum descriptiones. <foreign lang="greek">a)na/lhmma</foreign> est ratio conquisita solis cursu et umbrae crescentis |
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5510 ad brumam observatione inventa, e qua per rationes architectonicas circinique descriptiones est inventus effectus in mundo. |
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5511 </s></p></subchap2> |
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5512 <subchap2><p type="main"><s> |
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5513 Mundus autem est omnium naturae rerum conceptio summa caelumque sideribus et stellarum cursibus conformatum. </s><s>id volvitur continenter circum terram atque mare per axis cardines extremos. </s><s>namque in his |
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5514 locis naturalis potestas ita architectata est conlocavitque |
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5515 cardines tamquam centra, unum a terra inmani <spatio> |
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5516 in summo mundo ac post ipsas stellas septentrionum, |
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5517 alterum trans contra sub terra in meridianis partibus, ibique circum eos cardines orbiculos circum centra uti in |
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5518 torno perfecit, qui graece <foreign lang="greek">p/oloi</foreign> nominantur, per quos |
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5519 pervolitat sempiterno caelum. </s><s>ita media terra cum mari centri loco naturaliter est conlocata. |
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5520 </s></p></subchap2> |
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5521 <subchap2><p type="main"><s> |
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5522 His natura dispositis ita, uti septentrionali parte a terra excelsius habeat altitudinem centrum, in meridiana autem parte in inferioribus locis subiectum a terra obscuretur, tunc etiam per |
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5523 medium transversa et inclinata in meridiem [circuli de] |
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5524 lata zona <emph type="smallcaps"/>XII<emph.end/> signis est conformata. </s><s>eorum species stellis |
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5525 dispositis <emph type="smallcaps"/>XII<emph.end/> partibus peraequatis exprimit depictam ab |
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5526 natura figurationem. </s><s>itaque lucentia cum mundo reliquisque sideribus ornatu circum terram mareque pervolantia cursus perficiunt ad caeli rotunditatem. |
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5527 </s></p></subchap2> |
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5528 <subchap2><p type="main"><s> |
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5529 Omnia autem visitata et invisitata temporum necessitate sunt constituta. </s><s>ex quis sex signa numero supra terram cum caelo pervagantur, cetera sub terram subeuntia ab eius umbra obscurantur. </s><s>sex autem ex his semper supra terram nituntur. </s><s>quanta pars enim novissimi signi depressione coacta |
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5530 versatione subiens sub terram occultatur, tantundem eius |
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5531 contraria e conversationis necessitate suppressa rotatione |
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5532 circumacta trans locis patentibus ex obscuris egreditur ad |
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5533 lucem; namque vis una et necessitas utrimque simul orientem et occidentem perficit. |
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5534 </s></p></subchap2> |
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5535 <subchap2><p type="main"><s> |
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5536 Ea autem signa cum sint numero <emph type="smallcaps"/>XII<emph.end/> partesque duodecumas singula possideant mundi |
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5537 versenturque ab oriente ad occidentem continenter, tunc |
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5538 per ea signa contrario cursu luna, stella Mercurii, Veneris, |
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5539 ipse sol itemque Martis et Iovis et Saturni ut per graduum |
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5540 ascensionem percurrentes alius alia circumitionis magnitudine ab occidente ad orientem in mundo pervagantur. </s><s>luna die octavo et vicesimo et amplius circiter hora caeli |
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5541 circumitionem percurrens, ex quo signo coeperit ire, ad id signum revertendo perficit lunarem mensem. |
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5542 </s></p></subchap2> |
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5543 <subchap2><p type="main"><s> |
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5544 Sol autem signi spatium, quod est duodecuma pars mundi, mense |
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5545 vertente vadens transit; ita <emph type="smallcaps"/>XII<emph.end/> mensibus <emph type="smallcaps"/>XII<emph.end/> signorum |
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5546 intervalla pervagando cum redit ad id signum, unde coeperit, perficit spatium vertentis anni. </s><s>ex eo, quem circulum |
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5547 luna terdecies in <emph type="smallcaps"/>XII<emph.end/> mensibus percurrit, eum sol eisdem |
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5548 mensibus semel permetitur. </s><s>Mercurii autem et Veneris |
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5549 stellae circa solis radios uti per centrum eum itineribus |
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5550 coronantes regressus retrorsus et retardationes faciunt, |
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5551 etiam stationibus propter eam circinationem morantur in spatiis signorum. |
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5552 </s></p></subchap2> |
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5553 <subchap2><p type="main"><s> |
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5554 Id autem ita esse maxime cognoscitur ex Veneris stella, quod ea, cum solem sequatur, post occasum eius apparens in caelo clarissimeque lucens vesperugo vocitatur, aliis autem temporibus eum antecurrens |
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5555 et oriens ante lucem lucifer appellatur. </s><s>ex eoque nonnumquam plures dies in <uno> signo commorantur, alias celerius ingrediuntur in alterum signum. </s><s>itaque quod non |
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5556 aeque peragunt numerum dierum in singulis signis, quantum sunt moratae prius, transiliendo celerioribus itineribus perficiunt iustum cursum. </s><s>ita efficitur, uti, quod demorentur in nonnullis signis, nihilominus, cum eripiant |
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5557 se ab necessitate morae, celeriter consequantur iustam circumitionem. |
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5558 </s></p></subchap2> |
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5559 <subchap2><p type="main"><s> |
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5560 Iter autem in mundo Mercurii stella ita |
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5561 pervolitat, uti trecentesimo et sexagensimo die per signorum spatia currens perveniat ad id signum, ex quo priore |
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5562 circumlatione coepit facere cursum, et ita peraequatur |
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5563 eius iter, ut circiter tricenos dies in singulis signis habeat numeri rationem. |
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5564 </s></p></subchap2> |
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5565 <subchap2><p type="main"><s> |
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5566 Veneris autem, cum est liberata ab inpeditione radiorum solis, <emph type="smallcaps"/>XXX<emph.end/> diebus percurrit signi spatium. </s><s>quod minus quadragenos dies in singulis signis patitur, |
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5567 cum stationem fecerit, restituit eam summam numeri in |
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5568 uno signo morata. </s><s>ergo totam circinationem in caelo |
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5569 quadringentesimo et octogensimo et quinto die permensa |
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5570 iterum init signum, ex quo signo prius iter facere coepit. |
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5571 </s></p></subchap2> |
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|
5572 <subchap2><p type="main"><s> |
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|
5573 Martis vero circiter sexcentesimo octogensimo tertio siderum spatia pervagando pervenit eo, ex quo initium faciendo cursum fecerat ante, et in quibus signis celerius |
|
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5574 percurrit, cum stationem fecit, explet dierum numeri rationem. </s><s>Iovis autem placidioribus gradibus scandens contra |
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|
5575 mundi versationem, circiter <emph type="smallcaps"/>CCCLX<emph.end/> diebus singula signa |
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5576 permetitur, et consistit post annum <emph type="smallcaps"/>XI<emph.end/> et dies <emph type="smallcaps"/>CCCXIII<emph.end/> et |
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5577 redit in id signum, in quo ante <emph type="smallcaps"/>XII<emph.end/> annos fuerat. </s><s>Saturni |
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5578 vero, mensibus undetriginta et amplius paucis diebus pervadens per signi spatium, anno nono et vicensimo et circiter diebus <emph type="smallcaps"/>CLX<emph.end/>, in quo ante tricensimo fuerat anno, in |
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5579 id restituitur, ex eoque, quo minus ab extremo distat mundo, |
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5580 tanto maiorem circinationem rotae percurrendo tardior videtur esse. |
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5581 </s></p></subchap2> |
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5582 <subchap2><p type="main"><s> |
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5583 Ei autem, qui supra solis iter circinationes |
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5584 peragunt, maxime cum in trigono fuerint, quod is inierit, |
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5585 tum non progrediuntur, sed regressus facientes morantur, |
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5586 doneque [cum idem] sol de eo trigono in aliud signum |
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5587 transitionem fecerit. </s><s>id autem nonnullis sic fieri placet, |
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5588 quod aiunt solem, cum longius absit abstantia quadam, non |
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5589 lucidis itineribus errantia per ea sidera obscuritatis morationibus inpedire. </s><s>nobis vero id non videtur. </s><s>solis enim |
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5590 splendor perspicibilis et patens sine ullis obscurationibus |
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5591 est per omnem mundum, ut etiam nobis appareant, cum |
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5592 faciant eae stellae regressus et morationes. </s><s>ergo si tantis |
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5593 intervallis nostra species potest id animadvertere, quid |
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5594 ita divinitatibus splendoribusque astrorum iudicamus obscuritates obici posse? |
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5595 </s></p></subchap2> |
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5596 <subchap2><p type="main"><s> |
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5597 Ergo potius ea ratio nobis constabit, quod, fervor quemadmodum omnes res evocat et |
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5598 ad se ducit, ut etiam fructus e terra surgentes in altitudinem per calorem videmus, non minus aquae vapores a |
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5599 fontibus ad nubes per arcus excitari, eadem ratione solis |
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5600 impetus vehemens radiis trigoni forma porrectis insequentes stellas ad se perducit et ante currentes veluti |
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5601 refrenando retinendoque non patitur progredi, sed ad se |
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5602 regredi in alterius trigoni signum [esse]. |
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5603 </s></p></subchap2> |
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5604 <subchap2><p type="main"><s> |
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5605 Fortasse desiderabitur, quid ita sol quinto a se signo |
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5606 potius quam secundo aut tertio, quae sunt propiora, facit |
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5607 in his fervoribus retentiones. </s><s>ergo, quemadmodum id fieri |
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5608 videatur, exponam. </s><s>eius radii in mundo uti trigoni paribus lateribus formae lineationibus extenduntur. </s><s>id autem |
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5609 nec plus nec minus est ad quintum ab eo signo. </s><s>igitur si |
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5610 radii per omnem mundum fusi circinationibus vagarentur |
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5611 neque extentionibus porrecti ad trigoni formam linearentur, propiora flagrarent. </s><s>id autem etiam Euripides, Graecorum poeta, animadvertisse videtur. </s><s>ait enim, quae longius a sole essent, haec vehementius ardere, propiora vero |
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5612 eum temperata habere. </s><s>itaque scribit in fabula Phaethonte sic: |
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5613 </s> |
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5614 </p><p type="main"> <s> |
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5615 <foreign lang="greek">kai/ei ta\ po/rrw, ta)/gguqen d' eu)/krat' e)/xei</foreign>. |
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5616 </s></p></subchap2> |
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5617 <subchap2><p type="main"><s> |
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5618 Si ergo res et ratio et testimonium poetae veteris id ostendit, |
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5619 non puto aliter oportere iudicari, nisi quemadmodum de |
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5620 ea re supra scriptum habemus. |
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5621 </s> |
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5622 </p><p type="main"><s> |
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5623 Iovis autem inter Martis et Saturni circinationem currens maiorem quam Mars, minorem quam Saturnus pervolat cursum. </s><s>item reliquae stellae, quo maiore absunt |
|
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5624 spatio ab extremo caelo proxumamque habent terrae circinationem, celerius <pervagari> videntur, quod quaecumque earum minorem circinationem peragens saepius subiens praeterit superiorem. |
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5625 </s></p></subchap2> |
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5626 <subchap2><p type="main"><s> |
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5627 Quemadmodum, si in rota, qua figuli utuntur, inpositae fuerint septem formicae canalesque |
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5628 totidem in rota facti sint circum centrum imo adcrescentes |
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5629 ad extremum, in quibus hae cogantur circinationem facere, |
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5630 verseturque rota in alteram partem, necesse erit eas contra |
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5631 rotae versationem nihilominus adversus itinera perficere, |
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5632 et quae proximum centrum habuerit, celerius pervagari, |
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5633 quaeque extremum orbem rotae peragat, etiamsi aeque |
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5634 celeriter ambulet, propter magnitudinem circinationis multo |
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5635 tardius perficere cursum: similiter astra nitentia contra |
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5636 mundi cursum suis itineribus perficiunt circumitum, sed |
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5637 caeli versatione redundationibus referuntur cotidiana temporis circumlatione. |
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5638 </s></p></subchap2> |
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5639 <subchap2><p type="main"><s> |
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5640 Esse autem alias stellas temperatas, alias ferventes, |
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5641 etiamque frigidas haec esse causa videtur, quod omnis |
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5642 ignis in superiora loca habet scandentem flammam. </s><s>ergo |
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5643 sol aethera, qui est supra se, radiis exurens efficit candentem, in quibus locis habet cursum Martis stella; itaque |
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5644 fervens ab ardore solis efficitur. </s><s>Saturni autem, quod |
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5645 est proxima extremo mundo tangit<que> congelatas caeli |
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5646 regiones, vehementer est frigida. </s><s>ex eo Iovis, cum inter |
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5647 utriusque circumitiones habeat cursum, a refrigeratione |
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5648 caloreque earum medio convenientes temperatissimosque |
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5649 habere videtur effectus. |
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5650 </s> |
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5651 </p><p type="main"><s> |
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|
5652 De zona <emph type="smallcaps"/>XII<emph.end/> signorum et septem astrorum contrario |
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5653 opere ac cursu, quibus rationibus et numeris transeunt e |
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5654 signis in signa, et circumitum eorum, uti a praeceptoribus |
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5655 accepi, exposui; nunc de crescenti lumine lunae deminutioneque, uti traditum est nobis a maioribus, dicam. |
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5656 </s></p></subchap2> |
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5657 </subchap1> |
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5658 <subchap1> |
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5659 <subchap2><p type="main"><s> |
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5660 Berosus, qui ab Chaldaeorum civitate sive natione progressus in Asia etiam disciplinam Chaldaicam patefecit, |
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5661 ita est professus: pilam esse ex dimidia parte candentem, |
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5662 reliqua habere caeruleo colore. </s><s>cum autem cursum itineris sui peragens subierit sub orbem solis, tunc eam |
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5663 radiis et impetu caloris corripi convertique candentem |
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5664 propter eius proprietatem luminis ad lumen. </s><s>cum autem |
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5665 ea vocata ab solis orbi superiora spectent, tunc inferiorem |
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5666 partem eius, quod candens non sit, propter aeris similitudinem obscuram videri. </s><s>cum ad perpendiculum ea sit |
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5667 ad eius radios, totum lumen ad superiorem speciem retineri, et tunc eam vocari primam. |
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5668 </s></p></subchap2> |
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5669 <subchap2><p type="main"><s> |
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5670 Cum praeteriens vadat ad orientis caeli partes, relaxari ab impetu solis extremamque eius partem candentiae oppido quam tenui linea |
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5671 ad terram mittere splendorem, et ita ex eo eam secundam |
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5672 vocari. </s><s>cotidiana autem versationis remissione tertiam, |
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5673 quartam in dies numerari. </s><s>septimo die, <cum> sol sit ad |
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5674 occidentem, luna autem inter orientem et occidentem medias caeli teneat regiones, quod dimidia parte caeli spatio |
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5675 distet a sole, item dimidiam candentiae conversam habere |
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5676 ad terram. </s><s>inter solem vero et lunam cum distet totum |
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5677 mundi spatium et lunae orienti sol trans contra sit ad |
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5678 occidentem, eam, quo longius absit, a radiis remissam |
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5679 <emph type="smallcaps"/>XIIII<emph.end/> die plena rota totius orbis mittere splendorem, reliquosque dies decrescentia cotidiana ad perfectionem lunaris |
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5680 mensis versationibus et cursu a sole revocationibus subire |
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5681 sub rotam radiosque eius, et ita menstruas dierum efficere |
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5682 rationes. |
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5683 </s></p></subchap2> |
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5684 <subchap2><p type="main"><s> |
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5685 Uti autem Aristarchus Samius mathematicus vigore |
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5686 magno rationes varietatis disciplinis de eadem <re> reliquit, |
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5687 exponam. </s><s>non enim latet lunam <non> suum propriumque |
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5688 habere lumen, sed esse uti speculum et ab solis impetu |
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5689 recipere splendorem. </s><s>namque luna de septem astris circulum proximum terrae in cursibus minimum pervagatur. </s><s>ita quot mensibus sub rotam solis radiosque uno die, antequam praeterit, latens obscuratur. </s><s>cum est cum sole, nova |
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5690 vocatur. </s><s>postero autem die, quo numeratur secunda, praeteriens ab sole visitationem facit tenuem extremae rotundationis. </s><s>cum triduum recessit ab sole, crescit et plus |
|
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5691 inluminatur. </s><s>cotidie vero discedens cum pervenit ad diem |
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5692 septimum, distans a sole occidente circiter medias caeli |
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5693 regiones, dimidia lucet, et eius quae ad solem pars spectat, ea est inluminata. |
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5694 </s></p></subchap2> |
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5695 <subchap2><p type="main"><s> |
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5696 Quarto autem decumo die, cum in diametro spatio totius mundi absit ab sole, perficitur plena |
|
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5697 et oritur, cum sol sit ad occidentem, ideo quod totum |
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5698 spatium mundi distans consistit contra et impetu solis |
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5699 totius orbis in se recipit splendorem. </s><s>septumo decumo |
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5700 die cum sol oriatur, ea pressa est ad occidentem. </s><s>vicensimo et altero die cum sol est exortus, luna tenet circiter |
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5701 caeli medias regiones, et id quod spectat ad solem, id |
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5702 habet lucidum reliquis obscura. </s><s>item cotidie cursum faciendo circiter octavo et vicensimo die subit sub radios |
|
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5703 solis, et ita menstruas perficit rationes. |
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5704 </s> |
|
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|
5705 </p><p type="main"><s> |
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5706 Nunc, ut in singulis mensibus sol signa pervadens auget et minuit dierum et horarum spatia, dicam. |
|
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5707 </s></p></subchap2> |
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|
5708 </subchap1> |
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|
5709 <subchap1> |
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|
5710 <subchap2><p type="main"><s> |
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5711 Namque cum arietis signum iniit et partem octavam pervagatur, perficit aequinoctium vernum. </s><s>cum progreditur ad caudam |
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5712 tauri sidusque vergiliarum, e quibus eminet dimidia pars |
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5713 prior tauri, in maius spatium mundi quam dimidium procurrit procedens ad septentrionalem partem. </s><s>e tauro cum |
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5714 ingreditur in geminos exorientibus vergiliis, magis crescit |
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5715 supra terram et auget spatia dierum. </s><s>deinde <e> geminis |
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5716 cum iniit ad cancrum, qui brevissimum tenet caeli spatium, cum pervenit in partem octavam, perficit solstitiale |
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5717 tempus, et peragens pervenit ad caput et pectus leonis, quod eae partes cancro sunt attributae. |
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|
5718 </s></p></subchap2> |
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|
5719 <subchap2><p type="main"><s> |
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5720 E pectore autem leonis et finibus cancri solis exitus percurrens reliquas |
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5721 partes leonis inminuit diei magnitudinem et circinationis |
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5722 reditque in geminorum aequalem cursum. </s><s>tunc vero a leone |
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|
5723 transiens in virginem progrediensque ad sinum vestis eius |
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|
5724 contrahit circinationem et aequat ad eam, quam taurus |
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|
5725 habet, cursus rationem. </s><s>e virgine autem progrediens per |
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|
5726 sinum, qui sinus librae partes habet primas, in librae |
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5727 parte <emph type="smallcaps"/>VIII<emph.end/> perficit aequinoctium autumnale; qui cursus |
|
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5728 aequat eam circinationem, quae fuerat in arietis signo. |
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|
5729 </s></p></subchap2> |
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|
5730 <subchap2><p type="main"><s> |
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|
5731 Scorpionem autem cum sol ingressus fuerit occidentibus |
|
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|
5732 vergiliis, minuit progrediens meridianas partes longitudines dierum. </s><s>e scorpione cum percurrendo init in |
|
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|
5733 sagittarium ad femina eius, contractiorem diurnum pervolat cursum. </s><s>cum autem incipit a feminibus sagittarii, |
|
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|
5734 quae pars est attributa capricorno, ad partem octavam, |
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5735 brevissimum caeli percurrit spatium. </s><s>ex eo a brevitate |
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5736 diurna bruma ac dies brumales appellantur. </s><s>e capricorno |
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5737 autem transiens in aquarium adauget et aequat sagittarii |
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5738 longitudine diei spatium. </s><s>ab aquario cum ingressus est |
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5739 in pisces favonio flante, scorpionis comparat aequalem |
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5740 cursum. </s><s>ita sol ea signa circum pervagando certis temporibus auget aut minuit dierum et horarum spatia. |
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5741 </s> |
|
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5742 </p><p type="main"><s> |
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5743 Nunc de ceteris sideribus, quae sunt dextra ac sinistra |
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5744 zonam signorum meridiana septentrionalique parte mundi stellis disposita figurataque, dicam. |
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5745 </s></p></subchap2> |
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5746 </subchap1> |
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5747 <subchap1> |
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5748 <subchap2><p type="main"><s> |
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5749 Namque septentrio, quem Graeci nominant <foreign lang="greek">a)/rkton</foreign> sive <foreign lang="greek">e(li/khn</foreign>, habet post se |
|
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5750 conlocatum custodem. </s><s>ab eo non longe conformata est |
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5751 virgo, cuius supra umerum dextrum lucidissima stella |
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5752 nititur, quam nostri provindemiatorem, Graeci <foreign lang="greek">protrughth/n</foreign> |
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5753 vocant; candens autem magis spica eius est colorata. </s><s>item alia contra est stella media genuorum custodis arcti: qui arcturus dicitur est ibi dedicatus. |
|
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5754 </s></p></subchap2> |
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5755 <subchap2><p type="main"><s> |
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5756 E regione capitis septentrionis transversus ad pedes geminorum auriga stat |
|
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5757 in summo cornu tauri—ita quae in summo cornu laevo |
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5758 est, aurigae pedis una tenet partem stella—et adplicantur |
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5759 aurigae manui haedi, capra laevo umero. </s><s>tauri quidem et |
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5760 arietis insuper Perseus—dexterioribus subter currentis |
|
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5761 basem vergiliis, at sinisterioribus caput arietis—et manu |
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5762 dextra innitens Cassiepiae simulacro, laeva supra tauri tenet |
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|
5763 gorgoneum, ad summum caput subiciens Andromedae pedibus. |
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5764 </s></p></subchap2> |
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|
5765 <subchap2><p type="main"><s> |
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5766 Item pisces supra Andromedam ex aequis [ventris] |
|
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5767 ex aequisque sunt supra spinam equi, cuius ventris lucidissima stella finit ventrem equi et caput Andromedae. </s><s>manus Andromedae dextra supra Cassiepiae simulacrum |
|
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5768 est constituta, laeva <supra> aquilonalem piscem. </s><s>item |
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5769 aquarii supra equi caput est. </s><s>equi ungulae attingunt |
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|
5770 aquarii <e regione volucrem. </s><s>inter Cepheum et Andromedae> genua Cassiepia media est dedicata. </s><s>capricorni |
|
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5771 supra in altitudinem aquila et delphinus. </s><s>secundum eos |
|
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5772 est sagitta. </s><s>ab ea autem <non longe> volucris, cuius |
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5773 pinna dextra Cephei manum attingit et sceptrum, laeva |
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5774 supra Cassiepiae innititur. </s><s>sub avis cauda pedes equi sunt subiecti. |
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|
5775 </s></p></subchap2> |
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|
5776 <subchap2><p type="main"><s> |
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5777 Inde sagittarii, scorpionis, librae insuper |
|
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|
5778 serpens summo rostro coronam tangit. </s><s>eum medium ophiuchos in manibus tenet serpentem, laevo pede calcans |
|
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|
5779 mediam frontem scorpionis. </s><s>a parte ophiuchi capitis non |
|
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|
5780 longe positum est caput eius, qui dicitur nisus in genibus. </s><s>eorum autem faciliores sunt capitum vertices ad cognoscendum, quod non obscuris stellis sunt conformati. |
|
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|
5781 </s></p></subchap2> |
|
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|
5782 <subchap2><p type="main"><s> |
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|
5783 Pes ingeniculati adit fulcitve capitis tempus serpentis, cuius |
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|
5784 per vipereos flexus minor arctorum, qui septentriones dicuntur, inplicatur. </s><s>delphinum contra volucris rostro est proposita lyra. </s><s>inter umeros custodis et geniculati corona est |
|
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|
5785 ordinata. </s><s>in septentrionali vero circulo duae positae sunt |
|
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|
5786 arctoe scapularum <e regione> dorsis inter se compositae |
|
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|
5787 et pectoribus aversae. </s><s>e quibus minor <foreign lang="greek">kuno/soura</foreign>, maior |
|
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|
5788 <foreign lang="greek">e(li/kh</foreign> a Graecis appellatur. </s><s>earumque capita inter se dispicientia sunt constituta, caudae capitibus earum adversae |
|
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|
5789 contra dispositae figurantur; utrarumque enim superando eminent. |
|
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|
5790 </s></p></subchap2> |
|
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|
5791 <subchap2><p type="main"><s> |
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|
5792 In summo per caudas earum [esse dicitur] item |
|
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|
5793 serpens est porrecta, e qua stella quae dicitur polus elucet |
|
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|
5794 contra caput maioris septentrionis; namque qua est proxume draconem, circum <polum> caput eius involvitur. </s><s>ima |
|
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|
5795 vero circum cynosurae caput iniecta est flexu porrectaque |
|
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|
5796 proxime eius pedes. </s><s>haec autem intorta replicataque se |
|
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|
5797 attollens reflectitur a capite minoris ad maiorem, circa |
|
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|
5798 rostrum et capitis tempus dextrum <gap/> item supra |
|
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|
5799 caudam minoris pedes sunt Cephei, ibique ad summum cacumen facientes stellae sunt trigonum paribus lateribus. </s><s>insuper arietis signum septentrionis †autem minoris et |
|
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|
5800 Cassiepiae simulacri complures sunt stellae confusae. |
|
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|
5801 </s> |
|
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|
5802 </p><p type="main"><s> |
|
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|
5803 Quae sunt ad dextram orientis inter zonam signorum |
|
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|
5804 et septentrionum sidera in caelo disposita, dixi [esse]; |
|
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|
5805 nunc explicabo, quae ad sinistram orientis meridianisque |
|
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|
5806 partibus ab natura sunt distributa. |
|
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|
5807 </s></p></subchap2> |
|
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|
5808 </subchap1> |
|
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|
5809 <subchap1> |
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|
5810 <subchap2><p type="main"><s> |
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|
5811 Primum sub capricorno subiectus piscis austrinus caudam prospiciens ceti. </s><s>ab eo ad sagittarium locus est |
|
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|
5812 inanis. </s><s>turibulum sub scorpionis aculeo. </s><s>centauri priores |
|
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|
5813 partes proximae sunt librae et scorpioni. </s><s>tenet in manibus |
|
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5814 simulacrum, id quod bestiam astrorum periti nominaverunt. </s><s>virginem et leonem et cancrum anguis porrigens agmen |
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5815 stellarum intortus succingit, regione cancri erigens rostrum, |
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5816 ad leonem medioque corpore sustinens craterem ad manumque virginis caudam subiciens. </s><s>in qua inest corvus; quae sunt autem supra scapulas, peraeque sunt lucentia |
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5817 </s></p></subchap2> |
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5818 <subchap2><p type="main"><s> |
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5819 ad anguis inferius ventris. </s><s>sub caudam subiectus est centaurus. </s><s>iuxta |
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5820 cratera et leonem navis est, quae nominatur Argo, cuius |
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5821 prora obscuratur, sed malus et quae sunt circa gubernacula eminentia videntur, ipsaque navicula et puppis per |
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5822 summam caudam cani iungitur. </s><s>geminos autem minusculus |
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5823 canis sequitur contra anguis caput. </s><s>maior item sequitur |
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5824 minorem. </s><s>Orion vero transversus est subiectus, pressus |
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5825 ungula tauri, manu laeva <pellem> tenens, clavam altera ad geminos tollens. |
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5826 </s></p></subchap2> |
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5827 <subchap2><p type="main"><s> |
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5828 Apud eius vero basim canis parvo intervallo insequens leporem. </s><s>arieti et piscibus cetus est |
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5829 subiectus, a cuius crista ordinate utrisque piscibus disposita est tenuis fusio stellarum, quae graece vocitantur |
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5830 <foreign lang="greek">a(rpedo/nai</foreign>. magnoque intervallo introrsus pressus nodus |
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5831 serentium attingit summam ceti cristam [esse fuit]. per |
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5832 speciem stellarum flumen profluit, initium fontis capiens |
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5833 a laevo pede Orionis. </s><s>quae vero ab aquario fundi memoratur aqua, profluit inter piscis austrini caput et caudam ceti. |
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5834 </s></p></subchap2> |
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5835 <subchap2><p type="main"><s> |
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5836 Quae figurata conformataque sunt siderum in mundo |
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5837 simulacra, natura divinaque mente designata, ut Democrito physico placuit, exposui, sed tantum ea, quorum |
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5838 ortus et occasus possumus animadvertere et oculis contueri. </s><s>namque uti septentriones circum axis cardinem versantes non occidunt neque sub terram subeunt, sic circa |
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5839 meridianum cardinem, qui est propter inclinationem mundi |
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5840 subiectus terrae, sidera versabunda latentiaque non habent |
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5841 egressus orientis supra terram. </s><s>itaque eorum figurationes |
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5842 propter obstantiam terrae non sunt notae. </s><s>huius autem |
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5843 rei index est stella Canopi, quae his regionibus est ignota, |
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5844 renuntiant autem negotiatores, qui ad extremas Aegypti |
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5845 regiones proximasque ultimis finibus terrae terminationes |
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5846 fuerunt. |
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5847 </s></p></subchap2> |
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5848 </subchap1> |
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5849 <subchap1> |
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5850 <subchap2><p type="main"><s> |
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5851 De mundi circa terram pervolitantia duodecimque signorum ex septentrionali meridianaque parte siderum |
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5852 dispositione, ut sit perspecta, docui. </s><s>namque ex ea mundi |
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5853 versatione et contrario solis per signa cursu gnomonumque aequinoctialibus umbris analemmatorum inveniuntur descriptiones. |
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5854 </s></p></subchap2> |
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5855 <subchap2><p type="main"><s> |
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5856 Cetera ex astrologia, quos effectus habeant signa <emph type="smallcaps"/>XII<emph.end/>, stellae <emph type="smallcaps"/>V<emph.end/>, sol, luna ad humanae vitae rationem, Chaldaeorum ratiocinationibus est concedendum, quod propria est eorum genethlialogiae ratio, uti possint ante facta |
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5857 et futura ex ratiocinationibus astrorum explicare. </s><s>eorum |
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5858 autem inventiones reliquerunt inque <ea re> sollertia acuminibusque fuerunt magnis, qui ab ipsa natione Chaldaeorum |
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5859 profluxerunt. </s><s>primusque Berosus in insula et civitate Coo |
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5860 consedit ibique aperuit disciplinam, post ei studens Antipater iterumque Athenodorus, qui etiam non e nascentia |
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5861 sed ex conceptione genethlialogiae rationes explicatas reliquit. |
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5862 </s></p></subchap2> |
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5863 <subchap2><p type="main"><s> |
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5864 De naturalibus autem rebus Thales Milesius, Anaxagoras Clazomenius, Pythagoras Samius, Xenophanes |
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5865 Colophonius, Democritus Abderites rationes, quibus e rebus natura rerum gubernaretur quemadmodum quaeque |
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5866 effectus habeat, excogitatas reliquerunt. </s><s>quorum inventa |
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5867 secuti siderum <ad ortus> et occasus tempestatum significatus Eudoxus, Euctemon, Callippus, Meto, Philippus, |
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5868 Hipparchus, Aratus ceterique ex astrologia parapegmatorum disciplinis invenerunt et eas posteris explicatas reliquerunt. </s><s>quorum scientiae sunt hominibus suspiciendae, |
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5869 quod tanta cura fuerunt, ut etiam videantur divina mente |
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5870 tempestatium significatus post futuros ante pronuntiare. </s><s>quas ob res haec eorum curis studiisque sunt concedenda. |
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5871 </s></p></subchap2> |
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5872 </subchap1> |
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5873 <subchap1> |
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5874 <subchap2><p type="main"><s> |
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5875 Nobis autem ab his separandae sunt rationes et explicandae menstruae dierum brevitates itemque dilatationes. </s><s>namque sol aequinoctiali tempore ariete libraque versando, quas e gnomone partes habet novem, eas umbrae |
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5876 facit <emph type="smallcaps"/>VIII<emph.end/> in declinatione caeli, quae est Romae. </s><s>itemque |
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5877 Athenis quam magnae sunt gnomonis partes quattuor, |
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5878 umbrae sunt tres, ad <emph type="smallcaps"/>VII<emph.end/> Rhodo <emph type="smallcaps"/>V<emph.end/>, ad <emph type="smallcaps"/>XI<emph.end/> Tarenti <emph type="smallcaps"/>IX<emph.end/>, ad |
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5879 quinque <Alexandriae> tres, ceterisque omnibus locis aliae |
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5880 alio modo umbrae gnomonum aequinoctiales a natura rerum inveniuntur disparatae. |
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5881 </s></p></subchap2> |
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5882 <subchap2><p type="main"><s> |
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5883 Itaque in quibuscumque locis horologia erunt describenda, eo loci sumenda est |
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5884 aequinoctialis umbra, et si erunt quemadmodum Romae |
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5885 gnomonis partes novem, umbrae octo, linea describatur |
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5886 in planitia et e media <foreign lang="greek">pro\s o)rqa=s</foreign> erigatur [ut sit ad normam] quae dicitur gnomon. </s><s>et a linea, quae erit planities, in linea gnomonis circino novem spatia dimetiantur; et |
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5887 quo loco nonae partis signum fuerit, centrum constituatur, |
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5888 ubi erit littera <emph type="smallcaps"/>A<emph.end/>; et diducto circino ab eo centro ad lineam |
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5889 planitiae, ubi erit littera <emph type="smallcaps"/>B<emph.end/>, circinatio circuli describatur, quae dicitur meridiana. |
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5890 </s></p></subchap2> |
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5891 <subchap2><p type="main"><s> |
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5892 Deinde ex novem partibus, quae sunt a planitia ad gnomonis centrum, <emph type="smallcaps"/>VIII<emph.end/> sumantur et |
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5893 signentur in linea, quae est in planitia, ubi erit littera <emph type="smallcaps"/>C<emph.end/>. |
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5894 haec autem erit gnomonis aequinoctialis umbra. </s><s>et ab eo |
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5895 signo et littera <emph type="smallcaps"/>C<emph.end/> per centrum, ubi est littera <emph type="smallcaps"/>A<emph.end/>, linea perducatur, ubi erit solis aequinoctialis radius. </s><s>tunc a centro |
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5896 diducto circino ad lineam planitiae aequilatatio signetur, |
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5897 ubi erit littera <emph type="smallcaps"/>E<emph.end/> sinisteriore parte et <emph type="smallcaps"/>D<emph.end/> ulteriore in extremis lineae circinationis. </s><s>et per centrum perducendum, |
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5898 ut aequa duo hemicyclia sint divisa. </s><s>haec autem linea a mathematicis dicitur horizon. |
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5899 </s></p></subchap2> |
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5900 <subchap2><p type="main"><s> |
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5901 Deinde circinationis totius sumenda pars est <emph type="smallcaps"/>XV<emph.end/>; et circini centrum conlocandum in |
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5902 linea circinationis, quo loci secat eam lineam aequinoctialis |
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5903 radius, ubi erit littera <emph type="smallcaps"/>F<emph.end/>; et signandum dextra sinistra, ubi |
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5904 sunt litterae <emph type="smallcaps"/>G H<emph.end/>. deinde ab his <et per centrum> lineae |
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5905 usque ad lineam planitiae perducendae sunt, ubi erunt |
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5906 litterae <emph type="smallcaps"/>I K<emph.end/>. ita erit solis radius unus hibernus, alter aestivus. </s><s>contra autem <<emph type="smallcaps"/>E<emph.end/>> littera <emph type="smallcaps"/>D<emph.end/> erit, qua secat circinationem linea, quae est traiecta per centrum, ubi <est |
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5907 littera <emph type="smallcaps"/>A<emph.end/>; et contra <emph type="smallcaps"/>G<emph.end/>> erunt litterae <emph type="smallcaps"/>I<emph.end/> et <emph type="smallcaps"/>M<emph.end/>; et contra <emph type="smallcaps"/>H<emph.end/> |
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5908 litterae erunt <emph type="smallcaps"/>K<emph.end/> et <emph type="smallcaps"/>L<emph.end/>; et contra <emph type="smallcaps"/>C<emph.end/> et <emph type="smallcaps"/>F<emph.end/> et <emph type="smallcaps"/>A<emph.end/> erit littera <emph type="smallcaps"/>N<emph.end/>. |
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5909 </s></p></subchap2> |
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5910 <subchap2><p type="main"><s> |
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5911 Tunc perducendae sunt <foreign lang="greek">diame/trw</foreign> ab <emph type="smallcaps"/>G<emph.end/> ad <emph type="smallcaps"/>L<emph.end/> et ab <emph type="smallcaps"/>H<emph.end/> <ad |
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5912 <emph type="smallcaps"/>M<emph.end/>>. quae erit superior, partis erit aestivae, inferior hibernae. </s><s>eaeque <foreign lang="greek">diame/trw</foreign> sunt aeque mediae dividendae, |
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5913 ubi erunt litterae <emph type="smallcaps"/>O<emph.end/> et <emph type="smallcaps"/>P<emph.end/>, ibique centra signanda. </s><s>et per |
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5914 ea signa et centrum <emph type="smallcaps"/>A<emph.end/> lineae ad extrema lineae circinationis sunt perducendae, ubi erunt litterae <emph type="smallcaps"/>Q<emph.end/> et <emph type="smallcaps"/>R<emph.end/>. haec |
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5915 erit linea <foreign lang="greek">pro\s o)rqa=s</foreign> radio aequinoctiali. </s><s>vocabitur autem |
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5916 haec linea mathematicis rationibus axon. </s><s>et ab eisdem |
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5917 centris diducto circino ad extremas diametros describantur hemicyclia, quorum unum erit aestivum, alterum hibernum. |
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5918 </s></p></subchap2> |
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5919 <subchap2><p type="main"><s> |
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5920 Deinde in quibus locis secant lineae paralleloe lineam |
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5921 eam quae dicitur horizon, in dexteriore parte erit littera |
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5922 <emph type="smallcaps"/>S<emph.end/>, in sinisteriore <emph type="smallcaps"/>T<emph.end/>. et ab littera <emph type="smallcaps"/>S<emph.end/> ducatur linea parallelos |
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5923 axoni ad extremum <dextrum> hemicyclium, ubi erit littera <emph type="smallcaps"/>V<emph.end/>; et ab <emph type="smallcaps"/>T<emph.end/> ad sinistrum hemicyclium item parallelos |
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5924 linea ducatur ad litteram <emph type="smallcaps"/>X<emph.end/>. haec autem paralleloe lineae |
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5925 vocitantur †locothomus. </s><s>et tum circini centrum conlocandum est eo loci, quo secat circinationem aequinoctialis |
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5926 radius, ubi erit littera <emph type="smallcaps"/>F<emph.end/>; et diducendum ad eum locum, |
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5927 quo secat circinationem aestivus radius, ubi est littera <emph type="smallcaps"/>H<emph.end/>. |
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5928 e centro aequinoctiali intervallo aestivo circinatio circuli |
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5929 menstrui agatur, qui menaeus dicitur. </s><s>ita habebitur analemmatos deformatio. |
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5930 </s></p></subchap2> |
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5931 <subchap2><p type="main"><s> |
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5932 Cum hoc ita sit descriptum et explicatum, sive per hibernas lineas sive per aestivas sive |
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5933 per aequinoctiales aut etiam per menstruas in subiectionibus rationes horarum erunt ex analemmatos describendae, |
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5934 subiciunturque in eo multae varietates et genera horologiorum et describuntur rationibus his artificiosis. </s><s>omnium |
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5935 autem figurarum descriptionumque earum effectus unus, |
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5936 uti dies aequinoctialis brumalisque itemque solstitialis in |
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5937 duodecim partes aequaliter sit divisus. </s><s>quas ob res non |
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5938 pigritia deterritus praetermisi, sed ne multa scribendo |
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5939 offendam, a quibusque inventa sunt genera descriptionesque horologiorum, exponam. </s><s>neque enim nunc nova genera |
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5940 invenire possum nec aliena pro meis praedicanda videntur. </s><s>itaque quae nobis tradita sunt et a quibus sint inventa, |
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5941 dicam. |
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5942 </s></p></subchap2> |
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5943 </subchap1> |
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5944 <subchap1> |
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5945 <subchap2><p type="main"><s> |
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5946 Hemicyclium excavatum ex quadrato ad enclimaque |
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5947 succisum Berosus Chaldaeus dicitur invenisse; scaphen |
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5948 sive hemisphaerium Aristarchus Samius, idem etiam discum in planitia; arachnen Eudoxus astrologus, nonnulli |
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5949 dicunt Apollonium; plinthium sive lacunar, quod etiam |
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5950 in circo Flaminio est positum, Scopinas Syracusius; <foreign lang="greek">pro\s |
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5951 ta\ i(storou/mena</foreign> Parmenion, <foreign lang="greek">pro\s pa=n kli=ma</foreign> Theodosius |
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5952 et Andrias, Patrocles pelecinum, Dionysodorus conum, |
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5953 Apollonius pharetram, aliaque genera et qui supra scripti |
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5954 sunt et alii plures inventa reliquerunt, uti conarachnen, |
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5955 conicum plinthium, antiboreum. </s><s>item ex his generibus |
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5956 viatoria pensilia uti fierent, plures scripta reliquerunt. </s><s>ex |
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5957 quorum libris, si qui velit, subiectiones invenire poterit, |
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5958 dummodo sciat analemmatos descriptiones. |
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5959 </s></p></subchap2> |
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5960 <subchap2><p type="main"><s> |
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5961 Item sunt ex aqua conquisitae ab eisdem scriptoribus |
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5962 horologiorum rationes, primumque a Ctesibio Alexandrino, qui et vim spiritus naturalis pneumaticasque res |
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5963 invenit. </s><s>sed uti fuerint ea exquisita, dignum studiosis |
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5964 agnoscere. </s><s>Ctesibius enim fuerat Alexandriae natus patre |
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|
5965 tonsore. </s><s>is ingenio et industria magna praeter reliquos |
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5966 excellens dictus est artificiosis rebus se delectare. </s><s>namque cum voluisset in taberna sui patris speculum ita pendere, ut, cum duceretur susumque reduceretur, linea latens pondus deduceret, ita conlocavit machinationem. |
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5967 </s></p></subchap2> |
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5968 <subchap2><p type="main"><s> |
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5969 Canalem ligneum sub tigno fixit ibique trocleas conlocavit; per |
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5970 canalem lineam in angulum deduxit ibique tubulos struxit; |
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5971 in eos pilam plumbeam per lineam demittendam curavit. |
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5972 ita pondus cum decurrendo in angustias tubulorum premeret caeli crebritatem, vehementi decursu per fauces frequentiam caeli compressione solidatam extrudens in aerem |
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5973 patentem effusione acuti sonitus expresserat claritatem. |
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5974 </s></p></subchap2> |
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5975 <subchap2><p type="main"><s> |
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5976 Ergo Ctesibius cum animadvertisset ex tractu caeli et expressionibus spiritus <sonitus> vocesque nasci, his principiis usus hydraulicas machinas primus instituit. </s><s>item |
|
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5977 aquarum expressiones automatopoetasque machinas multaque deliciarum genera, in his etiam horologiorum ex aqua |
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5978 comparationes explicuit. </s><s>primumque constituit cavum ex |
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5979 auro perfectum aut ex gemma terebrata; ea enim nec |
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5980 teruntur percussu aquae nec sordes recipiunt, ut obturentur. |
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5981 </s></p></subchap2> |
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5982 <subchap2><p type="main"><s> |
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5983 Namque aequaliter per id cavum influens aqua sublevat scaphium inversum, quod ab artificibus phellos sive |
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5984 tympanum dicitur. </s><s>in quo conlocata est regula <iuxta> |
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5985 versatile tympanum. </s><s>denticulis aequalibus sunt perfecta, |
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5986 qui denticuli alius alium inpellentes versationes modicas |
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5987 faciunt et motiones. </s><s>item aliae regulae aliaque tympana |
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5988 ad eundem modum dentata una motione coacta versando |
|
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5989 faciunt effectus varietatesque motionum, quibus moventur |
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5990 sigilla, vertuntur metae, calculi aut ova proiciuntur, bucinae canunt, reliquaque parerga. |
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5991 </s></p></subchap2> |
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5992 <subchap2><p type="main"><s> |
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5993 In his etiam aut in columna aut parastatica horae describuntur, quas sigillum egrediens |
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5994 ab imo virgula significat in diem totum. </s><s>quarum brevitates aut crescentias cuneorum adiectus aut exemptus in |
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5995 singulis diebus et mensibus perficere cogit. </s><s>praeclusiones |
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5996 aquarum ad temperandum ita sunt constitutae. </s><s>metae |
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5997 fiunt duae, una solida, una cava, ex torno ita perfectae, |
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5998 ut alia in aliam inire convenireque possit et eadem regula laxatio earum aut coartatio efficiat aut vehementem |
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5999 aut lenem in ea vasa aquae influentem cursum. </s><s>ita his |
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6000 rationibus et machinatione ex aqua componuntur horologiorum ad hibernum usum conlocationes. |
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|
6001 </s></p></subchap2> |
|
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|
6002 <subchap2><p type="main"><s> |
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|
6003 Sin autem cuneorum adiectionibus et detractionibus correptiones dierum |
|
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|
6004 aut crescentiae †ex cuneis non probabuntur fieri, quod |
|
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|
6005 cunei saepissime vitia faciunt, sic erit explicandum. </s><s>in |
|
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|
6006 columella horae ex analemmatos transverse describantur, |
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|
6007 menstruaeque lineae columella signentur. </s><s>eaque columna |
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6008 versatilis perficiatur, uti ad sigillum virgulamque, qua |
|
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|
6009 virgula egrediens sigillum ostendit horas, columna versando |
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|
6010 continenter suis cuiusque mensibus brevitates et crescentias |
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|
6011 faciat horarum. |
|
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|
6012 </s></p></subchap2> |
|
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|
6013 <subchap2><p type="main"><s> |
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|
6014 Fiunt etiam alio genere horologia hiberna, quae anaphorica dicuntur perficiunturque rationibus his. </s><s>horae disponuntur ex virgulis aeneis ex analemmatos descriptione |
|
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|
6015 ab centro dispositae in fronte; in ea circuli sunt circumdati menstrua spatia finientes. </s><s>post has virgulas tympanum, in quo descriptus et depictus est mundus signiferque |
|
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|
6016 circulus [descriptioque ex <emph type="smallcaps"/>XII<emph.end/> caelestium signorum fit |
|
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|
6017 figurata], cuius ex centro deformatio <gap/> unum maius, |
|
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|
6018 alterum minus. </s><s>posteriori autem parte tympano medio |
|
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|
6019 axis versatilis est inclusus inque eo axi aenea mollis catena |
|
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|
6020 est involuta, ex qua pendet ex una parte phellos (sive |
|
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|
6021 tympanum), qui ab aqua sublevatur, altera aequo pondere phelli sacoma saburrale. |
|
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|
6022 </s></p></subchap2> |
|
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|
6023 <subchap2><p type="main"><s> |
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|
6024 Ita quantum ab aqua phellos sublevatur, tantum saburrae pondus infra deducens versat |
|
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|
6025 axem, axis autem tympanum. </s><s>cuius tympani versatio |
|
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|
6026 alias efficit, uti maior pars circuli signiferi, alias minor in |
|
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|
6027 versationibus suis temporibus designet horarum proprietates. </s><s>namque in singulis signis sui cuiusque mensis dierum |
|
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|
6028 numeri cava sunt perfecta, cuius bulla, quae solis imaginem horologiis tenere videtur, significat horarum spatia. </s><s>ea translata ex terebratione in terebrationem mensis vertentis perficit cursum suum. |
|
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|
6029 </s></p></subchap2> |
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|
6030 <subchap2><p type="main"><s> |
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|
6031 Itaque quemadmodum sol per siderum spatia vadens dilatat contrahitque dies et horas, |
|
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|
6032 sic bulla in horologiis ingrediens per puncta contra centri |
|
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|
6033 tympani versationem, cotidie cum transfertur aliis temporibus per latiora, aliis per angustiora spatia, menstruis |
|
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|
6034 finitionibus imagines efficit horarum et dierum. |
|
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|
6035 </s> |
|
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|
6036 </p><p type="main"><s> |
|
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|
6037 De administratione autem aquae, quemadmodum se temperet ad rationem, sic erit faciendum. |
|
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|
6038 </s></p></subchap2> |
|
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|
6039 <subchap2><p type="main"><s> |
|
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|
6040 Post frontem horologii intra conlocetur castellum in idque per fistulam |
|
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|
6041 saliat aqua et in imo habeat cavum. </s><s>ad id autem adfixum sit ex aere tympanum habens foramen, per quod |
|
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|
6042 ex castello in id aqua influat. </s><s>in eo autem minus tympanum includatur cardinibus ex torno masculo et femina |
|
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|
6043 inter se coartatis, ita uti minus tympanum quemadmodum |
|
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|
6044 epitonium in maiore circumagendo arte leniterque versetur. |
|
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6045 </s></p></subchap2> |
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6046 <subchap2><p type="main"><s> |
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6047 Maioris autem tympani labrum aequis intervallis <emph type="smallcaps"/>CCCLXV<emph.end/> |
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6048 puncta habeat signata, minor vero orbiculus in extrema |
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6049 circinatione fixam habeat lingulam, cuius cacumen dirigat |
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6050 ad punctorum regiones, inque eo orbiculo temperatum sit |
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6051 foramen, quia in tympanum aqua influit per id et servat |
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6052 administrationem. </s><s>cum autem in maioris tympani labro |
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6053 fuerint signorum caelestium deformationes, id autem sit |
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6054 inmotum et in summo habeat deformatum cancri signum, |
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6055 ad perpendiculum eius in imo capricorni, ad dextram |
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6056 spectantis librae, ad sinistram arietis signum, ceteraque |
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6057 inter eorum spatia designata sint, uti in caelo videntur: |
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6058 </s></p></subchap2> |
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6059 <subchap2><p type="main"><s> |
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6060 Igitur cum sol fuerit in capricorni, orbiculi lingula in |
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6061 maioris tympani parte ex capricorni cotidie singula puncta |
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6062 tangens, ad perpendiculum habens aquae currentis vehemens pondus, celeriter per orbiculi foramen id extrudit |
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6063 ad vasum excipiens eam. </s><s>cum brevi spatio impletur, corripit et contrahit dierum spatia et horarum. </s><s>cum autem |
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6064 cotidiana versatione minoris tympani lingula ingrediatur |
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6065 in aquarii puncta, discedens foramen a perpendiculo et |
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6066 aquae vehementi cursu cogitur tardius emittere salientem. </s><s>ita quo minus celeri cursu vas excipit aquam, dilatat horarum spatia. |
|
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6067 </s></p></subchap2> |
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6068 <subchap2><p type="main"><s> |
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6069 Aquarii vero pisciumque punctis uti gradibus scandens orbiculi foramen in ariete tangendo octavam |
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6070 partem aqua temperate salienti praestat aequinoctiales |
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|
6071 horas. </s><s>ab ariete per tauri et geminorum spatia ad summa |
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|
6072 cancri puncta partis octavae foramen se tympani versationibus peragens et in altitudinem eo rediens viribus extenuatur, et ita tardius fluendo dilatat morando spatia |
|
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6073 et efficit horas in cancri signo solstitiales. </s><s>a cancro cum |
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6074 proclinat et peragit per leonem et virginem ad librae |
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|
6075 partis octavae puncta revertendo et gradatim corripiendo |
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6076 spatia contrahit horas, et ita perveniens ad puncta librae aequinoctiales rursus reddit horas. |
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6077 </s></p></subchap2> |
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|
6078 <subchap2><p type="main"><s> |
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|
6079 Per scorpionis vero spatia et sagittarii proclivius deprimens se foramen rediensque circumactione ad capricorni partem <emph type="smallcaps"/>VII<emph.end/>, restituit |
|
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6080 celeritate salientis brumales horarum brevitates. |
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|
6081 </s> |
|
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6082 </p><p type="main"><s> |
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6083 Quae sunt in horologiorum descriptionibus rationes et |
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6084 apparatus, ut sint ad usum expeditiores, quam apertissime |
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6085 potui, perscripsi. </s><s>restat nunc de machinationibus et de |
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|
6086 earum principiis ratiocinari. </s><s>itaque de his, ut corpus emendatum architecturae perficiatur, insequenti volumine incipiam scribere. |
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|
6087 </s></p></subchap2> |
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|
6088 </subchap1> |
|
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|
6089 </chap> |
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|
6090 <chap> |
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|
6091 <!-- 10,t,1,1 --> |
|
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|
6092 <p type="head"><s>LIBER DECIMUS</s></p> |
|
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|
6093 <subchap1> |
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|
6094 <subchap2><p type="main"><s> |
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|
6095 Nobili Graecorum et ampla civitate Ephesi lex vetusta |
|
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6096 dicitur a maioribus dura condicione sed iure esse non |
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6097 iniquo constituta. </s><s>nam architectus, cum publicum opus |
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6098 curandum recipit, pollicetur, quanto sumptu id sit futurum. </s><s>tradita aestimatione magistratui bona eius obligantur, |
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6099 donec opus sit perfectum. </s><s>absoluto autem, cum ad dictum |
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6100 inpensa respondit, decretis et honoribus ornatur. </s><s>item si |
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6101 non amplius quam quarta ad aestimationem est adicienda, |
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6102 de publico praestatur, neque ulla poena tenetur. </s><s>cum |
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6103 vero amplius quam quarta in opere consumitur, ex eius bonis ad perficiendum pecunia exigitur. |
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6104 </s></p></subchap2> |
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6105 <subchap2><p type="main"><s> |
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6106 Utinam dii inmortales fecissent, ea lex etiam <emph type="smallcaps"/>P<emph.end/>. <emph type="smallcaps"/>R<emph.end/>. non modo publicis |
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6107 sed etiam privatis aedificiis esset constituta! namque non |
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6108 sine poena grassarentur inperiti, sed qui summa doctrinarum subtilitate essent prudentes, sine dubitatione profiterentur architecturam, neque patres familiarum inducerentur ad infinitas sumptuum profusiones, ut et e bonis |
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6109 eicerentur, ipsique architecti poenae timore coacti diligentius modum inpensarum ratiocinantes explicarent, uti |
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6110 patres familiarum ad id, quod praeparavissent, seu paulo |
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6111 amplius adicientes, aedificia expedirent. </s><s>nam qui quadringenta ad opus possunt parare, si adicient centum, habendo |
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6112 spem perfectionis delectationibus tenentur; qui autem |
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6113 adiectione dimidia aut ampliore sumptu onerantur, amissa |
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6114 spe et inpensa abiecta, fractis rebus et animis desistere coguntur. |
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6115 </s></p></subchap2> |
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6116 <subchap2><p type="main"><s> |
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6117 Nec solum id vitium in aedificiis, sed etiam in |
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6118 muneribus, quae a magistratibus foro gladiatorum scaenisque ludorum dantur, quibus nec mora neque expectatio |
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6119 conceditur, sed necessitas finito tempore perficere cogit, |
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6120 id est sedes spectaculorum velorumque inductiones et ea |
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6121 omnia, quae scaenicis moribus per machinationem ad |
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6122 spectationes populo comparantur. </s><s>in his vero opus est |
|
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6123 prudentia diligens et ingenii doctissimi cogitata, quod |
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|
6124 nihil eorum perficitur sine machinatione studiorumque vario ac sollerti vigore. |
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6125 </s></p></subchap2> |
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6126 <subchap2><p type="main"><s> |
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6127 Igitur quoniam haec ita sunt tradita et constituta, non videtur esse alienum, uti caute |
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6128 summaque diligentia, antequam instituantur opera, eorum |
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6129 expediantur rationes. </s><s>ergo quoniam neque lex neque |
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6130 morum institutio id potest cogere et quotannis et praetores et aediles ludorum causa machinationes praeparare |
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6131 debent, visum mihi est, imperator, non esse alienum, |
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6132 quoniam de aedificiis in prioribus voluminibus exposui, |
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6133 in hoc, quod finitionem summam corporis habet constitutam, quae sint principia machinarum, ordinata praeceptis |
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6134 explicare. |
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6135 </s></p></subchap2> |
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6136 </subchap1> |
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6137 <subchap1> |
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6138 <subchap2><p type="main"><s> |
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6139 Machina est continens e materia coniunctio maximas |
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6140 ad onerum motus habens virtutes. </s><s>ea movetur ex arte |
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6141 circulorum rotundationibus, quam Graeci <foreign lang="greek">kuklikhn\ ki/nhsin</foreign> |
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6142 appellant. </s><s>est autem unum genus scansorium, quod graece |
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6143 <foreign lang="greek">a)krobatiko/n</foreign> dicitur; alterum spirabile, quod apud eos |
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6144 <foreign lang="greek">pneumatiko/n</foreign> appellatur; tertium tractorium, id autem |
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6145 Graeci <foreign lang="greek">baroulko/n</foreign> vocitant. </s><s>scansorium autem <est, cum> |
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6146 machinae ita fuerint conlocatae, ut ad altitudinem tignis |
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6147 statutis et transversariis conligatis sine periculo scandatur [ad apparatus spectatione]; at spirabile, cum spiritus |
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6148 ex expressionibus inpulsus et plagae vocesque <foreign lang="greek">o)rga/nikws</foreign> exprimantur; |
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6149 </s></p></subchap2> |
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6150 <subchap2><p type="main"><s> |
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6151 tractorium vero, cum onera machinis pertrahuntur, ut ad altitudinem sublata conlocentur. </s><s>scansoria ratio non arte sed audacia gloriatur; ea catenationibus et transversariis et plexis conligationibus et erismatorum |
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6152 fulturis continentur. </s><s>quae autem spiritus potestate adsumit ingressus, elegantes artis subtilitatibus consequetur |
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6153 effectus. </s><s>tractoria autem maiores et magnificentia plenas |
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6154 habet ad utilitatem opportunitates et in agendo cum prudentia summas virtutes. |
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6155 </s></p></subchap2> |
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6156 <subchap2><p type="main"><s> |
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6157 Ex his sunt quae <foreign lang="greek">mhxanikw/s</foreign>, |
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6158 alia <foreign lang="greek">o)rga/nikws</foreign> moventur. </s><s>inter machinas et organa id |
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6159 videtur esse discrimen, quod machinae pluribus operis vel |
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6160 vi maiore coguntur effectus habere, uti ballistae torculariorumque prela; organa autem unius operae prudenti |
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6161 tactu perficiunt quod est propositum, uti scorpionis seu |
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6162 anisocyclorum versationes. </s><s>ergo et organa et machinarum |
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6163 ratio ad usum sunt necessaria, sine quibus nulla res potest esse non inpedita. |
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6164 </s></p></subchap2> |
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6165 <subchap2><p type="main"><s> |
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6166 Omnis autem est machinatio rerum |
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6167 natura procreata ac praeceptrice et magistra mundi versatione instituta. </s><s>namque animadvertamus primum et |
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6168 aspiciamus continentem solis, lunae, quinque etiam stellarum natura <gap/> machinata versarentur, non habuissemus interdum lucem nec fructûm maturitates. </s><s>cum |
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6169 ergo maiores haec ita esse animadvertissent, e rerum |
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6170 natura sumpserunt exempla et ea imitantes inducti rebus |
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6171 divinis commodas vitae perfecerunt explicationes. </s><s>itaque |
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6172 comparaverunt, ut essent expeditiora, alia machinis et |
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6173 earum versationibus, nonnulla organis, et ita quae animadverterunt ad usum utilia esse studiis, artibus, institutis, gradatim augenda doctrinis curaverunt. |
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6174 </s></p></subchap2> |
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6175 <subchap2><p type="main"><s> |
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6176 Attendamus enim primum inventum de necessitate, ut vestitus, quemadmodum telarum organicis administrationibus conexus |
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6177 staminis ad subtemen non modo corpora tegendo tueatur, |
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6178 sed etiam ornatus adiciat honestatem. </s><s>cibi vero non habuissemus abundantiam, nisi iuga et aratra bubus iumentisque omnibus essent inventa. </s><s>sucularumque et prelorum |
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6179 et vectium si non fuisset torculariis praeparatio, neque |
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6180 olei nitorem neque vitium fructum habere potuissemus ad |
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6181 iucunditatem, portationesque eorum non essent, nisi plostrorum seu serracorum per terram, navicularum per aquam inventae essent machinationes. |
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6182 </s></p></subchap2> |
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6183 <subchap2><p type="main"><s> |
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6184 Trutinarum vero librarumque ponderibus examinatio reperta vindicat ab |
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6185 iniquitate iustis moribus vitam. </s><s>non minusque sunt innumerabili modo rationes machinationum, de quibus non |
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6186 necesse videtur disputare, quod non sunt <ignotae sed> |
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6187 ad manum cotidianae, ut sunt molae, folles fabrorum, |
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6188 raedae, cisia, torni ceteraque, quae communes ad usum |
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6189 consuetudinibus habent opportunitates. |
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6190 </s> |
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6191 </p><p type="main"><s> |
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6192 Itaque incipiemus de îs, quae raro veniunt ad manus, ut nota sint, explicare. |
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6193 </s></p></subchap2> |
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6194 </subchap1> |
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6195 <subchap1> |
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6196 <subchap2><p type="main"><s> |
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6197 Primumque instituemus de îs, quae |
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6198 aedibus sacris ad operumque publicorum perfectionem necessitate comparantur. </s><s>quae fiunt ita. </s><s>tigna duo ad onerum magnitudinem ratione expediuntur. </s><s>a capite ea fibula |
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6199 coniuncta et in imo divaricata eriguntur, funibus in capitibus conlocatis et circa dispositis erecta retinentur. </s><s>alligatur in summo troclea, quem etiam nonnulli rechamum |
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6200 dicunt. </s><s>in trocleam induntur orbiculi <<emph type="smallcaps"/>II<emph.end/>> per axiculos |
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6201 versationes habentes. </s><s>per orbiculum <summum> traicitur |
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6202 ductarius funis, deinde demittitur et traducitur circa orbiculum trocleae inferioris. </s><s>refertur autem ad orbiculum |
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6203 imum trocleae superioris et ita descendit ad inferiorem |
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6204 et in foramine eius religatur. </s><s>altera pars funis refertur inter imas machinae partes. |
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6205 </s></p></subchap2> |
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6206 <subchap2> |
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6207 <p type="main"><s> |
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6208 In quadris autem tignorum posterioribus, quo loci sunt divaricata, figuntur chelonia, |
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6209 in quae coiciuntur sucularum capita, ut faciliter axes versentur. </s><s>eae suculae proxime capita habent foramina bina |
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6210 ita temperata, ut vectes in ea convenire possint. </s><s>ad rechamum autem imum ferrei forfices religantur, quorum dentes |
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6211 in saxa forata accommodantur. </s><s>cum autem funis habet |
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6212 caput ad suculam religatum et vectes ducentes eam versant, funis <se> involvendo circum suculam extenditur et |
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6213 ita sublevat onera ad altitudinem et operum conlocationes. |
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6214 </s></p></subchap2> |
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6215 <subchap2><p type="main"><s> |
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6216 Haec autem ratio machinationis, quod per tres orbiculos |
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6217 circumvolvitur, trispastos appellatur. </s><s>cum vero in ima |
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6218 troclea duo orbiculi, in superiore tres versantur, id pentaspaston dicitur. </s><s>sin autem maioribus oneribus erunt machinae comparandae, amplioribus tignorum longitudinibus |
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6219 et crassitudinibus erit utendum <et> eadem ratione in |
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6220 summo fibulationibus, in imo sucularum versationibus |
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6221 expediendum. </s><s>his explicatis antarii funes ante laxi conlocentur, retinacula super scapulas machinae longe disponantur, et si non erit, ubi religetur, pali resupinati defodiantur et circum fistucatione solidentur, quo funes alligentur. |
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6222 </s></p></subchap2> |
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6223 <subchap2><p type="main"><s> |
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6224 Troclea in summo capite machinae rudenti contineatur, |
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6225 et ex eo funis perducatur ad palum et quae est in palo |
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6226 trocleam inligata. </s><s>circa eius orbiculum funis indatur et |
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6227 referatur ad eam trocleam, quae erit ad caput machinae |
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6228 religata. </s><s>circum autem orbiculum ab summo traiectus |
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6229 funis descendat et redeat ad suculam, quae est in ima |
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6230 machina, ibique religetur. </s><s>vectibus autem coacta <cum> |
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6231 sucula versabitur, eriget per se machinam sine periculo. </s><s>ita circa dispositis funibus et retinaculis in palis haerentibus ampliore modo machina conlocabitur. </s><s>trocleae et |
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6232 ductarii funes, uti supra scriptum est, expediuntur. |
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6233 </s></p></subchap2> |
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6234 <subchap2><p type="main"><s> |
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6235 Sin autem colossicotera amplitudinibus et ponderibus |
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6236 onera in operibus fuerint, non erit suculae committendum, |
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6237 sed quemadmodum sucula cheloniis retinetur, ita axis includatur habens in medio tympanum amplum, quod nonnulli rotam appellant, Graeci autem <foreign lang="greek">a)mfi/esis</foreign>, alii <foreign lang="greek">periqh/kion</foreign> vocant. |
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6238 </s></p></subchap2> |
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6239 <subchap2><p type="main"><s> |
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6240 In his autem machinis trocleae non eodem sed alio modo comparantur. </s><s>habent enim et in imo et |
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6241 in summo duplices ordines orbiculorum. </s><s>ita funis ductarius traicitur in inferioris trocleae foramen, uti aequalia |
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6242 duo capita sint funis, cum erit extensus, ibique secundum inferiorem trocleam resticula circumdata et contenta |
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6243 utraeque partes funis continentur, ut neque <in dextram |
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6244 neque> in sinistram partem possint prodire. </s><s>deinde capita |
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6245 funis referuntur in summa troclea ab exteriore parte et |
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6246 deiciuntur circa orbiculos imos et redeunt ad imum |
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6247 coiciunturque infimae trocleae ad orbiculos ex interiore |
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6248 parte et referuntur dextra sinistra <et> ad caput circa orbiculos summos redeunt. |
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6249 </s></p></subchap2> |
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6250 <subchap2><p type="main"><s> |
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6251 Traiecti autem ab exteriore parte feruntur dextra sinistra tympanum in axe ibique, ut haereant, conligantur. </s><s>tum autem circa tympanum involutus alter funis refertur ad ergatam, et is circumactus tympanum et axem <gap/> se involvendo pariter extendunt, et ita leniter levant onera sine periculo. </s><s>quodsi |
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6252 maius tympanum conlocatum aut in medio aut in una |
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6253 parte extrema fuerit, sine ergata <per> calcantes homines |
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6254 expeditiores habere poterit operis effectus. |
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6255 </s></p></subchap2> |
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6256 <subchap2><p type="main"><s> |
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6257 Est autem aliud genus machinae satis artificiosum et |
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6258 ad usum celeritatis expeditum, sed in eo dare operam non |
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6259 possunt nisi periti. </s><s>est enim tignum, quod erigitur et |
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6260 distenditur retinaculis quadrifariam. </s><s>sub retinaculo chelonia duo figuntur, troclea funibus supra chelonia religatur, sub troclea regula longa circiter pedes duos, lata |
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6261 digitos sex, crassa quattuor supponitur. </s><s>trocleae ternos |
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6262 ordines orbiculorum in latitudine habentes conlocantur. </s><s>ita tres ductarii funes in <summa> machina religantur. </s><s>deinde referuntur ad imam trocleam et traiciuntur ex interiore parte per eius orbiculos summos. </s><s>deinde referuntur |
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6263 ad superiorem trocleam et traiciuntur ab exteriore parte |
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6264 </s></p></subchap2> |
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6265 <subchap2><p type="main"><s> |
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6266 Cum descenderint ad imum, ex interiore parte et per secundos orbiculos traducuntur in extremum et referuntur in summum ad orbiculos secundos; traiecti redeunt ad imum et ab imo referuntur |
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6267 ad caput; traiecti per summos redeunt ad machinam imam. </s><s>in radice autem machinae conlocatur tertia troclea; eam |
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6268 autem Graeci <foreign lang="greek">e)pa/gonta</foreign>, nostri artemonem appellant. </s><s>ea |
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6269 troclea religatur ad [trocleae] radicem habens orbiculos |
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6270 tres, per quos traiecti funes traduntur hominibus ad ducendum. </s><s>ita tres ordines hominum ducentes sine ergata celeriter onus ad summum perducunt. |
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6271 </s></p></subchap2> |
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6272 <subchap2><p type="main"><s> |
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6273 Hoc genus machinae polyspaston appellatur, quod multis orbiculorum circumitionibus et facilitatem summam praestat et celeritatem. </s><s>una autem statutio tigni hanc habet utilitatem, quod ante |
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6274 quantum velit et dextra ac sinistra ab latere proclinando |
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6275 onus deponere potest. |
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6276 </s> |
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6277 </p><p type="main"><s> |
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6278 Harum machinationum omnium, quae supra sunt scriptae, rationes non modo ad has res, sed etiam ad onerandas et exonerandas naves sunt paratae, aliae erectae, aliae planae in carchesiis versatilibus conlocatae. </s><s>non |
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6279 minus sine tignorum erectionibus in plano etiam eadem |
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6280 ratione et temperatis funibus et trocleis subductiones navium efficiuntur. |
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6281 </s></p></subchap2> |
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6282 <subchap2><p type="main"><s> |
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6283 Non est autem alienum etiam Chersiphronos ingeniosam rationem exponere. </s><s>is enim scapos columnarum e |
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6284 lapidicinis cum deportare vellet Ephesi ad Dianae fanum, |
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6285 propter magnitudinem onerum et viarum campestrem |
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6286 mollitudinem non confisus carris, ne rotae devorarentur, |
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6287 sic est conatus. </s><s>de materia trientali scapos quattuor, |
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6288 <gap/> duos transversarios interpositos, quanta longitudo |
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6289 scapi fuerat, complectit et compegit et ferreos cnodacas |
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6290 uti subscudes in capitibus scaporum inplumbavit et armillas |
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6291 in materia ad cnodacas circumdandos infixit; cnodaces |
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6292 autem in armillis inclusi liberam habuerunt versationem. </s><s>iamiam ita, cum boves ducerent subiuncti, scapi versando in cnodacibus et armillis sine fine volvebantur. |
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6293 </s></p></subchap2> |
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6294 <subchap2><p type="main"><s> |
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6295 Cum autem scapos omnes ita vexerant et instabant epistyliorum vecturae, filius Chersiphronos Metagenes transtulit ex scaporum |
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6296 vectura etiam in epistyliorum deductione. </s><s>fecit enim rotas |
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6297 circiter pedum duodenûm et epistyliorum capita in medias |
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6298 rotas inclusit; item bucculis ligneis capita religavit; eadem |
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6299 ratione cnodaces in capitibus armillis inclusit: ita cum |
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6300 trientes a bubus ducerentur, in armillis inclusi cnodaces |
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6301 versabant rotas, epistylia vero inclusa uti axes in rotis |
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6302 eadem ratione, qua scapi, sine mora ad opus pervenerunt. </s><s>exemplar autem erit eius, quemadmodum in palaestris |
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6303 cylindri exaequant ambulationes. </s><s>neque hoc potuisset |
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6304 fieri, nisi primum propinquitas esset—non enim plus sunt |
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6305 ab lapidicinis ad fanum milia passuum octo—nec ullus |
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6306 est clivus sed perpetuus campus. |
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6307 </s></p></subchap2> |
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6308 <subchap2><p type="main"><s> |
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6309 Nostra vero memoria cum colossici Apollinis in fano |
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6310 basis esset a vetustate diffracta, [et] metuentes, ne caderet |
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6311 ea statua et frangeretur, locaverunt ex eisdem lapidicinis |
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6312 basim excidendam. </s><s>conduxit quidam Paconius. </s><s>haec autem |
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6313 basis erat longa pedes duodecim, lata pedes <emph type="smallcaps"/>VIII<emph.end/>, alta |
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6314 pedes sex. </s><s>quam Paconius gloria fretus non uti Metagenes |
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6315 adportavit, sed eadem ratione alio genere constituit machinam facere. |
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6316 </s></p></subchap2> |
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6317 <subchap2><p type="main"><s> |
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6318 Rotas enim circiter pedum <emph type="smallcaps"/>XV<emph.end/> fecit et in |
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6319 his rotis capita lapidis inclusit, deinde circa lapidem fusos |
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6320 sextantales ab rota ad rotam ad circinum compegit, ita |
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6321 uti fusus a fuso non distaret pedem [esse] unum. </s><s>deinde |
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6322 circa fusos funem involvit et bubus iunctis funem ducebant. </s><s>ita cum explicaretur, volvebat rotas, sed non poterat ad |
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6323 lineam via recta ducere, sed exibat in unam partem. </s><s>ita |
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6324 necesse erat rursus retroducere. </s><s>sic Paconius ducendo et |
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6325 reducendo pecuniam contricavit, ut ad solvendum non |
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6326 esset. |
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6327 </s></p></subchap2> |
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6328 <subchap2><p type="main"><s> |
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6329 Pusillum extra progrediar et de his lapidicinis, quemadmodum sint inventae, exponam. </s><s>Pixodarus fuerat pastor. </s><s>is in his locis versabatur. </s><s>cum autem cives Ephesiorum |
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6330 cogitarent fanum Dianae ex marmore facere decernerentque, a Paro, Proconnenso, Heraclea, Thaso uti marmor |
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6331 peteretur, propulsis ovibus Pixodarus in eodem loco pecus |
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6332 pascebat, ibique duo arietes inter se concurrentes alius |
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6333 alium praeterierunt et impetu facto unus cornibus percussit saxum, ex quo crusta candidissimo colore fuerat |
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6334 deiecta. </s><s>ita Pixodarus dicitur oves in montibus reliquisse et crustam cursim Ephesum, cum maxime de ea re |
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6335 ageretur, detulisse. </s><s>ita statim honores decreverunt ei et |
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6336 nomen mutaverunt: pro Pixodaro Euangelus nominaretur. </s><s>hodieque quotmensibus magistratus in eum locum proficiscitur et ei sacrificium facit, et si non fecerit, poena |
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6337 tenetur. |
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6338 </s></p></subchap2> |
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6339 </subchap1> |
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6340 <subchap1> |
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6341 <subchap2><p type="main"><s> |
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6342 De tractoriis rationibus quae necessaria putavi, breviter |
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6343 exposui. </s><s>quorum motus et virtutes duae res diversae et inter |
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6344 se dissimiles <efficiunt>, ubi congruentes uti principia pariunt eos perfectus: una porrecti, quam Graeci <foreign lang="greek">eu)qei=an</foreign> vocitant, altera rotunditatis, quam Graeci <foreign lang="greek">kuklwthn/</foreign> appellant. </s><s>sed vero neque sine rotunditate motus porrecti nec sine |
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6345 porrecto rotationis versationes onerum possunt facere levationes. |
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6346 </s></p></subchap2> |
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6347 <subchap2><p type="main"><s> |
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6348 Id autem ut intellegatur, exponam. </s><s>inducuntur uti |
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6349 centra axiculi in orbiculos et in trocleis conlocantur, per |
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6350 quos orbiculos funis circumactus directis ductionibus et |
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6351 in sucula conlocatus vectium versationibus onerum facit |
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6352 egressus in altum. </s><s>cuius suculae cardines uti centra porrecti in cheloniis, foraminibusque eius vectes conclusi capitibus ad circinum circumactis torni ratione versando |
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6353 faciunt oneris elationes. </s><s>quemadmodum etiam ferreus vectis |
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6354 cum est admotus ad onus, quod manuum multitudo non |
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6355 potest movere, supposita uti centro <ultro> citro porrecta |
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6356 pressione, quod Graeci <foreign lang="greek">u(pomo/xlion</foreign> appellant, et lingua |
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6357 sub onus subdita, caput eius unius hominis viribus pressum id onus extollit. |
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6358 </s></p></subchap2> |
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6359 <subchap2><p type="main"><s> |
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6360 Id autem <eo facilius fit>, quo brevior |
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6361 pars prior vectis ab ea pressione, quod est centrum, subit |
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6362 sub onus, et quo longius ab eo centro distans caput eius |
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|
6363 deducitur. </s><s>per id faciundo motus circinationis cogit pressionibus examinare paucis manibus oneris maximi pondus. </s><s>item si sub onus vectis ferrei lingula subiecta fuerit neque eius caput pressione in imum, sed adversus in altitudinem extolletur, lingula fulta in areae solo habebit eam |
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6364 pro onere, oneris autem ipsius angulum pro pressione. </s><s>ita |
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6365 non tam faciliter quam per oppressionem, sed adversus |
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6366 nihilominus pondus oneris erit excitatum. </s><s>igitur si plus |
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6367 lingula vectis supra hypomochlion posita sub onus subierit |
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6368 et caput eius propius centrum pressiones habuerit, non |
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6369 poterit onus elevare, nisi, quemadmodum supra scriptum |
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6370 est, examinatio vectis longitudinis per caput neque <in |
|
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|
6371 imum> ductionibus fuerit facta. |
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6372 </s></p></subchap2> |
|
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6373 <subchap2><p type="main"><s> |
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6374 Id autem ex trutinis, quae staterae dicuntur, licet considerare. </s><s>cum enim ansa propius caput, unde lancula |
|
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6375 pendet, ibi ut centrum est conlocata et aequipondium in |
|
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6376 alteram partem scapi, per puncta vagando quo longius |
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6377 paulatim ad extremum perducitur, paulo et inpari pondere amplissimam pensionem parem perficit per scapi |
|
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6378 librationem, et examinato longius ab centro recedens ista |
|
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6379 inbecillior aequipondii brevitas maiorem vim ponderis |
|
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|
6380 momento deducens sine vehementia molliter ab imo susum versum egredi cogit [futurum]. |
|
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|
6381 </s></p></subchap2> |
|
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|
6382 <subchap2><p type="main"><s> |
|
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|
6383 Quemadmodum etiam navis onerariae maximae gubernator ansam gubernaculi tenens, |
|
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|
6384 qui <foreign lang="greek">oi)/ac</foreign> a Graecis appellatur, una manu momento per |
|
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|
6385 centrum ratione pressionibus aptis agitans, versat eam |
|
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|
6386 amplissimis et inmanibus mercis et penus ponderibus oneratam. </s><s>eiusque vela cum sunt per altitudinem mediam |
|
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|
6387 mali pendentia, non potest habere navis celerem cursum, |
|
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|
6388 cum autem in summo cacumine antemnae subductae sunt, |
|
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|
6389 tunc vehementiore progreditur impetu, quod non proxime |
|
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6390 calcem mali, quod est loco centri, sed in summo longius et ab eo progressa recipiunt in se vela ventum. |
|
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|
6391 </s></p></subchap2> |
|
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|
6392 <subchap2><p type="main"><s> |
|
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|
6393 Itaque uti vectis sub onere subiectus, si per medium premitur, |
|
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|
6394 durior est neque incumbit, cum autem caput eius summum |
|
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|
6395 deducitur, faciliter onus extollit, similiter vela, cum sunt |
|
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|
6396 per medium temperata, minorem habent virtutem, quae |
|
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|
6397 autem in capite mali summo conlocantur discedentia |
|
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|
6398 longius a centro, non acriore sed eodem flatu, pressione |
|
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|
6399 cacuminis vehementius cogunt progredi navem. </s><s>etiam |
|
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|
6400 remi circa scalmos strophis religati, cum manibus inpelluntur et reducuntur, extremis progredientibus a centro |
|
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|
6401 †parmis maris undis spumam inpulsu vehementi protrudunt porrectam navem, secante prora liquoris raritatem. |
|
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|
6402 </s></p></subchap2> |
|
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|
6403 <subchap2><p type="main"><s> |
|
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|
6404 Onerum vero maxima pondera, cum feruntur a phalangariis hexaphoris et tetraphoris, examinantur per ipsa media centra |
|
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|
6405 phalangarum, uti diviso oneris solido pondere certa quadam divisionis ratione aequas partes collis singuli ferant |
|
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|
6406 operarii. </s><s>mediae enim partes phalangarum, quibus lora |
|
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|
6407 tetraphororum invehuntur, clavis sunt finitae, ne labantur |
|
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|
6408 in unam partem. </s><s>cum enim extra finem centri promoventur, premunt eum locum, ad quem propius accesserunt, |
|
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|
6409 quemadmodum in statera pondus, cum examine progreditur ad fines ponderationum. |
|
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|
6410 </s></p></subchap2> |
|
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|
6411 <subchap2><p type="main"><s> |
|
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|
6412 Eadem ratione iumenta, cum |
|
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|
6413 iuga eorum subiugiis loris per medium temperantur, aequaliter trahunt onera. </s><s>cum autem inpares sunt eorum virtutes et unum plus valendo premit alterum, loro traiecto fit una pars iugi longior, quae inbecilliori auxiliatur |
|
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|
6414 iumento. </s><s>ita in phalangis et iugis cum in medio lora non |
|
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|
6415 sunt conlocata sed in una parte, qua progreditur lorum |
|
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|
6416 ab medio, unam breviorem, alteram efficit partem longiorem. </s><s>ea ratione si per id centrum, quo loci perductum |
|
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|
6417 est lorum, utraque capita circumaguntur, longior pars ampliorem, brevior minorem agit circinationem. |
|
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|
6418 </s></p></subchap2> |
|
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|
6419 <subchap2><p type="main"><s> |
|
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|
6420 Quemadmodum vero minores rotae duriores et difficiliores habent motus, sic phalangae et iuga, in quibus partibus |
|
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|
6421 habent minora a centro ad capita intervalla, premunt |
|
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|
6422 duriter colla, qua autem longiora habent ab eodem centro |
|
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|
6423 spatia, levant oneribus et trahentes et ferentes. </s><s>cum haec |
|
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|
6424 ita ad centrum porrectionibus et circinationibus reciperent |
|
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|
6425 motus, tunc vero etiam plostra, raedae, tympana, rotae, |
|
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|
6426 cocleae, scorpiones, ballistae, prela ceteraeque machinae |
|
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|
6427 eisdem rationibus per porrectum centrum et rotationem |
|
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|
6428 circum versantem faciunt ad propositum effectus. |
|
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|
6429 </s></p></subchap2> |
|
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|
6430 </subchap1> |
|
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|
6431 <subchap1> |
|
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|
6432 <subchap2><p type="main"><s> |
|
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|
6433 Nunc de organis, quae ad hauriendam aquam inventa |
|
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|
6434 sunt, quemadmodum variis generibus comparentur, exponam. </s><s>et primum dicam de tympano. </s><s>id autem non |
|
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|
6435 alte tollit aquam, sed exhaurit expeditissime multitudinem |
|
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|
6436 magnam. </s><s>ad tornum aut circinum fabricatus <axis,> capitibus lamna ferratis, habens in medio circa se tympanum |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
6437 ex tabulis inter se coagmentatis, conlocatur in stipitibus |
|
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6438 habentibus in se sub capita axis ferreas lamminas. </s><s>in eius |
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6439 tympani cavo interponuntur octo tabulae transversae tangentes axem et extremam tympani circumitionem, quae dividunt aequalia in tympano spatia. |
|
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6440 </s></p></subchap2> |
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6441 <subchap2><p type="main"><s> |
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6442 Circa frontem eius figuntur tabulae, relictis semipedalibus aperturis ad aquam |
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6443 intra concipiendam. </s><s>item secundum axem columbaria |
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6444 fiunt excavata in singulis spatiis ex una parte. </s><s>id autem |
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6445 cum est navali ratione picatum, hominibus calcantibus |
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6446 versatur et hauriendo per aperturas, quae sunt in frontibus tympani, reddit per columbaria secundum axem supposito labro ligneo habente una secum coniunctum canalem. </s><s>ita hortis ad inrigandum vel salinis ad temperandum praebetur aquae multitudo. |
|
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6447 </s></p></subchap2> |
|
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6448 <subchap2><p type="main"><s> |
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6449 Cum autem altius extollendum erit, eadem ratio communicabitur sic. </s><s>rota fiet circum axem |
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6450 eadem magnitudine, ut ad altitudinem, quae opus fuerit, |
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6451 convenire possit. </s><s>circum extremum latus rotae figentur |
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6452 modioli quadrati pice et cera solidati. </s><s>ita cum rota a calcantibus versabitur, modioli pleni ad summum elati rursus |
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6453 ad imum revertentes infundent in castellum ipsi per se quod extulerint. |
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6454 </s></p></subchap2> |
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|
6455 <subchap2><p type="main"><s> |
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6456 Sin autem magis altis locis erit praebendum, in eiusdem rotae axe involuta duplex ferrea |
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6457 catena demissaque ad imum libramentum conlocabitur, |
|
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6458 habens situlos pendentes aereos congiales. </s><s>ita versatio |
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6459 rotae catenam in axem involvendo efferet situlos in summum, qui <cum> super axem pervehuntur, cogentur inverti et infundere in castellum aquae quod extulerint. |
|
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6460 </s></p></subchap2> |
|
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6461 </subchap1> |
|
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|
6462 <subchap1> |
|
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6463 <subchap2><p type="main"><s> |
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6464 Fiunt etiam in fluminibus rotae eisdem rationibus, quibus supra scriptum est. </s><s>circa earum frontes adfiguntur |
|
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6465 pinnae, quae, cum percutiuntur ab impetu fluminis, cogunt |
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|
6466 progredientes versari rotam, et ita modiolis haurientes et |
|
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6467 in summum referentes sine operarum calcatura ipsius |
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6468 fluminis inpulsu versatae praestant, quod opus est ad |
|
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|
6469 usum. |
|
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|
6470 </s></p></subchap2> |
|
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|
6471 <subchap2><p type="main"><s> |
|
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6472 Eadem ratione etiam versantur hydraletae, in quibus |
|
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6473 eadem sunt omnia, praeterquam quod in uno capite axis |
|
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|
6474 tympanum dentatum est inclusum. </s><s>id autem ad perpendiculum conlocatum in cultrum versatur cum rota pariter. </s><s>secundum id tympanum maius <minus> item dentatum |
|
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6475 planum est conlocatum, quo continetur <gap/> ita dentes tympani eius, quod est in axe inclusum, inpellendo |
|
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6476 dentes tympani plani cogunt fieri molarum circinationem. </s><s>in qua machina inpendens infundibulum subministrat molis |
|
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|
6477 frumentum et eadem versatione subigitur farina. |
|
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|
6478 </s></p></subchap2> |
|
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|
6479 </subchap1> |
|
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|
6480 <subchap1> |
|
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|
6481 <subchap2><p type="main"><s> |
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|
6482 Est autem etiam cocleae ratio, quae magnam vim haurit |
|
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6483 aquae, sed non tam alte tollit quam rota. </s><s>eius autem ratio |
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|
6484 sic expeditur. </s><s>tignum sumitur, cuius tigni quanta paratur |
|
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|
6485 pedum longitudo, tanta digitorum expeditur crassitudo. </s><s>id ad circinum rotundatur. </s><s>in capitibus circino dividentur |
|
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|
6486 circumitiones eorum tetrantibus et octantibus in partes |
|
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|
6487 octo, eaeque lineae ita conlocentur, ut plano posito tigno |
|
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|
6488 utriusque capitis ad libellam lineae inter se respondeant, |
|
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|
6489 et quam magna pars sit octava circinationis tigni, tam |
|
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|
6490 magna spatia decidantur in longitudinem. </s><s>item tigno |
|
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|
6491 plano conlocato lineae ab capite ad alterum caput perducantur ad libellam convenientes. </s><s>sic et in rotundatione |
|
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|
6492 et in longitudine aequalia spatia fient. </s><s>ita quo loci describuntur lineae, quae sunt in longitudinem spectantes, |
|
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|
6493 facient decusationes et in decusationibus finita puncta. |
|
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|
6494 </s></p></subchap2> |
|
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|
6495 <subchap2><p type="main"><s> |
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|
6496 His ita emendate descriptis sumitur salignea tenuis aut |
|
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|
6497 de vitice secta regula, quae uncta liquida pice figitur in |
|
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|
6498 primo decusis puncto. </s><s>deinde traicitur oblique ad insequentis longitudinis et circumitionis decusis, item ex ordine progrediens singula puncta praetereundo et circum |
|
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|
6499 involvendo conlocatur in singulis decusationibus, et ita |
|
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|
6500 pervenit et figitur ad eam lineam recedens a primo in |
|
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|
6501 octavum punctum, in qua prima pars est eius fixa. </s><s>eo |
|
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|
6502 modo quantum progreditur oblique spatium et per octo |
|
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|
6503 puncta, tantundem et longitudine procedit ad octavum |
|
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|
6504 punctum. </s><s>eadem ratione per omne spatium longitudinis |
|
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|
6505 et rotunditatis singulis decusationibus oblique fixae regulae per octo crassitudinis divisiones involutos faciunt canales et iustam cocleae naturalemque imitationem. |
|
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|
6506 </s></p></subchap2> |
|
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|
6507 <subchap2><p type="main"><s> |
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|
6508 Ita per id vestigium aliae super alias figuntur unctae pice |
|
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|
6509 liquida, et exaggerantur ad id, uti longitudinis octava pars |
|
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|
6510 fiat summa crassitudo. </s><s>supra eas circumdantur et figuntur |
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|
6511 tabulae, quae pertegant eam involutionem. </s><s>tunc eae |
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|
6512 tabulae pice saturantur et lamminis ferreis conligantur, |
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|
6513 ut ab aquae vi ne dissolvantur. </s><s>capita tigni ferrea. </s><s>dextra |
|
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|
6514 autem ac sinistra cocleam tigna conlocantur in capitibus |
|
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|
6515 utraque parte habentia transversaria confixa. </s><s>in his foramina ferrea sunt inclusa inque ea inducuntur styli, et ita cocleae hominibus calcantibus faciunt versationes. |
|
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|
6516 </s></p></subchap2> |
|
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6517 <subchap2><p type="main"><s> |
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6518 Erectio autem eius ad inclinationem sic erit conlocanda, uti, quemadmodum Pythagoricum trigonum orthogonium describitur, |
|
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6519 sic id habeat responsum, id est uti dividatur longitudo |
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6520 in partes <emph type="smallcaps"/>V<emph.end/>, earum trium extollatur caput cocleae; ita erit |
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6521 ab perpendiculo ad imas naris spatium earum partium <emph type="smallcaps"/>IIII<emph.end/>. |
|
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6522 qua ratione autem oporteat id esse, in extremo libro eius |
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6523 forma descripta est in ipso tempore. |
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|
6524 </s> |
|
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6525 </p><p type="main"><s> |
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6526 Quae de materia fiunt organa ad hauriendam aquam, |
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6527 quibus rationibus perficiantur quibusque rebus motus recipientia praestent versationibus infinitas utilitates, ut essent notiora, quam apertissime potui, perscripta sunt in illo |
|
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|
6528 tempore. |
|
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|
6529 </s></p></subchap2> |
|
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|
6530 </subchap1> |
|
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|
6531 <subchap1> |
|
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|
6532 <subchap2><p type="main"><s> |
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|
6533 Insequitur nunc de Ctesibica machina, quae in |
|
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6534 altitudinem aquam educit, monstrare. </s><s>ea fit ex aere. </s><s>cuius |
|
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6535 in radicibus modioli fiunt gemelli paulum distantes, habentes fistulas furcillae figura similiter cohaerentes, in |
|
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|
6536 medium catinum concurrentes. </s><s>in quo catino fiunt asses |
|
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|
6537 in superioribus naribus fistularum coagmentatione subtili |
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6538 conlocati, qui praeobturantes foramina narium non patiuntur <redire>, quod spiritu in catinum est expressum. |
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6539 </s></p></subchap2> |
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|
6540 <subchap2><p type="main"><s> |
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|
6541 Supra catinum paenula ut infundibulum inversum est |
|
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|
6542 attemperata et per fibulam cum catino cuneo traiecto |
|
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|
6543 continetur, ne vis inflationis aquae eam cogat elevari. </s><s>insuper fistula, quae tuba dicitur, coagmentata in altitudine fit erecta. </s><s>modioli autem habent infra nares inferiores |
|
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6544 fistularum asses interpositos supra foramina eorum, quae sunt in fundis. |
|
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|
6545 </s></p></subchap2> |
|
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|
6546 <subchap2><p type="main"><s> |
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|
6547 Ita de supernis in modiolis emboli masculi |
|
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|
6548 torno politi et oleo subacti conclusique regulis et vectibus |
|
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6549 cum molientur qui erit aer ibi cum aqua, assibus obturantibus foramina cogent et trudent inflando pressionibus |
|
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|
6550 per fistularum nares aquam in catinum, e quo recipiens |
|
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|
6551 paenula spiritu exprimit per fistulam in altitudinem, et |
|
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|
6552 ita ex inferiore loco castello conlocato ad saliendum aqua |
|
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|
6553 subministratur. |
|
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|
6554 </s></p></subchap2> |
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|
6555 <subchap2><p type="main"><s> |
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|
6556 Nec tamen haec sola ratio Ctesibii fertur exquisita, |
|
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|
6557 sed etiam plures et variis generibus ab eo liquore pressionibus coactae spiritus efferre ab natura mutuatos |
|
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|
6558 effectus ostenduntur, uti merularum [quae motu] voces |
|
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|
6559 atque acrobatae bibentiaque et eadem moventia <se> sigilla |
|
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|
6560 ceteraque, quae delectationibus oculorum et aurium usu sensus eblandiantur. |
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|
6561 </s></p></subchap2> |
|
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|
6562 <subchap2><p type="main"><s> |
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|
6563 E quibus quae maxime utilia et necessaria iudicavi selegi, et in priore volumine de horologiis, |
|
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|
6564 in hoc de expressionibus aquae dicendum putavi. </s><s>reliqua, |
|
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|
6565 quae non sunt ad necessitatem sed ad deliciarum voluptatem, qui cupidiores erunt eius subtilitatis, ex ipsius |
|
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|
6566 Ctesibii commentariis poterunt invenire. |
|
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|
6567 </s></p></subchap2> |
|
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|
6568 </subchap1> |
|
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|
6569 <subchap1> |
|
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|
6570 <subchap2><p type="main"><s> |
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|
6571 De hydraulis autem, quas habeant ratiocinationes, quam |
|
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|
6572 brevissime proximeque attingere potero et scriptura consequi, non praetermittam. </s><s>de materia compacta basi, ara |
|
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|
6573 in ea ex aere fabricata conlocatur. </s><s>supra basim eriguntur |
|
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|
6574 regulae dextra ac sinistra scalari forma compactae, quibus includuntur aerei modioli, fundulis ambulatilibus ex |
|
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|
6575 torno subtiliter subactis habentibus fixos in medio ferreos |
|
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|
6576 ancones et verticulis cum vectibus coniunctos, pellibusque |
|
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|
6577 lanatis involutis. </s><s>item in summa planitia foramina circiter digitorum ternûm. </s><s>quibus foraminibus proxime in |
|
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|
6578 verticulis conlocati aerei delphini pendentia habent catenis cymbala ex ore infra foramina modiolorum calata. |
|
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|
6579 </s></p></subchap2> |
|
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|
6580 <subchap2><p type="main"><s> |
|
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|
6581 Intra aram, quo loci aqua sustinetur, inest pnigeus uti infundibulum inversum, quem subter taxilli alti circiter digitorum |
|
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|
6582 ternûm suppositi librant spatium imum ima inter labra pnigeos et arae fundum. </s><s>supra autem cerviculam eius coagmentata arcula sustinet caput machinae, qui graece <foreign lang="greek">kanw\n |
|
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|
6583 mousiko/s</foreign> appellatur. </s><s>in cuius longitudine canales, si tetrachordos est, fiunt quattuor, si hexachordos, sex, si octo chordos, octo. |
|
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|
6584 </s></p></subchap2> |
|
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|
6585 <subchap2><p type="main"><s> |
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|
6586 Singulis autem canalibus singula epitonia |
|
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|
6587 sunt inclusa, manubriis ferreis conligata. </s><s>quae manubria, |
|
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|
6588 cum torquentur, ex arca patefaciunt nares in canales. </s><s>ex |
|
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|
6589 canalibus autem canon habet ordinata in transverso foramina respondentia naribus, quae sunt in tabula summa, |
|
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|
6590 quae tabula graece <foreign lang="greek">pi/nac</foreign> dicitur. </s><s>inter tabulam et canona regulae sunt interpositae ad eundem modum foratae |
|
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|
6591 et oleo subactae, ut faciliter inpellantur et rursus introrsus |
|
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|
6592 reducantur, quae obturant ea foramina plinthidesque appellantur. </s><s>quarum itus et reditus alias obturat alias aperit terebrationes. |
|
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|
6593 </s></p></subchap2> |
|
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|
6594 <subchap2><p type="main"><s> |
|
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|
6595 Haec regulae habent ferrea choragia fixa et |
|
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|
6596 iuncta cum pinnis, quarum pinnarum tactus motiones |
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6597 efficit regularum continenter. </s><s>supra tabulam foramina<que, per> quae ex canalibus habent egressum spiritus, |
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6598 sunt anuli adglutinati, quibus lingulae omnium includuntur |
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6599 organorum. </s><s>e modiolis autem fistulae sunt continentes |
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6600 coniunctae pnigeos cervicibus pertinentesque ad nares, |
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6601 quae sunt in arcula. </s><s>in quibus asses sunt ex torno subacti |
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6602 et ibi conlocati, <ubi fistulae modiolis sunt coniunctae,> |
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6603 qui, cum recepit arcula animam, spiritum non patientur obturantes foramina rursus redire. |
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6604 </s></p></subchap2> |
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6605 <subchap2><p type="main"><s> |
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6606 Ita cum vectes extolluntur, ancones deducunt fundos modiolorum ad imum |
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6607 delphinique, qui sunt in verticulis inclusi, calantes in eos |
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6608 cymbala, aere implent spatia modiolorum, atque ancones |
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6609 extollentes fundos intra modiolos vehementi pulsus crebritate et obturantes foramina cymbalis superiora, aera, |
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6610 qui est ibi inclusus, pressionibus coactum in fistulas cogunt, |
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6611 per quas in pnigea concurrit et per eius cervices in |
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6612 arcam. </s><s>motione vero vectium vehementiore spiritus frequens compressus epitoniorum aperturis influit et replet animae canales. |
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6613 </s></p></subchap2> |
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6614 <subchap2><p type="main"><s> |
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6615 Itaque cum pinnae manibus tactae propellunt et reducunt continenter regulas alternis obturando |
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6616 foramina alternis aperiundo, e musicis artibus multiplicibus modulorum varietatibus sonantes excitant voces. |
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6617 </s> |
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6618 </p><p type="main"><s> |
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6619 Quantum potui niti, ut obscura res per scripturam |
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6620 dilucide pronuntiaretur, contendi, sed haec non est facilis |
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6621 ratio neque omnibus expedita ad intellegendum praeter |
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6622 eos, qui in his generibus habent exercitationem. </s><s>quodsi |
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6623 qui parum intellexerit ex scriptis, cum ipsam rem cognoscet, profecto inveniet curiose et subtiliter omnia ordinata. |
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6624 </s></p></subchap2> |
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6625 </subchap1> |
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6626 <subchap1> |
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6627 <subchap2><p type="main"><s> |
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6628 Transfertur nunc cogitatio scripturae ad rationem non |
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6629 inutilem sed summa sollertia a maioribus traditam, qua |
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6630 in via raeda sedentes vel mari navigantes scire possimus, |
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6631 quot milia numero itineris fecerimus. </s><s>hoc autem erit sic. </s><s>rotae, quae erunt in raeda, sint latae per medium diametrum pedum quaternûm [et sextantes], ut, cum finitum |
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6632 locum habeat in se rota ab eoque incipiat progrediens in |
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6633 solo viae facere versationem, perveniendo ad eam finitionem, a qua coeperit versari, certum modum spatii habeat peractum pedes <emph type="smallcaps"/>XII S<emph.end/>. |
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6634 </s></p></subchap2> |
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6635 <subchap2><p type="main"><s> |
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6636 His ita praeparatis tunc in rotae modiolo ad partem interiorem tympanum stabiliter includatur habens extra frontem suae rotundationis extantem denticulum unum. </s><s>insuper autem ad capsum raedae loculamentum firmiter figatur habens tympanum versatile in |
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6637 cultro conlocatum et in axiculo conclusum, in cuius tympani fronte denticuli perficiantur aequaliter divisi numero |
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6638 quadringenti convenientes denticulo tympani inferioris. </s><s>praeterea superiori tympano ad latus figatur alter denticulus prominens extra dentes. |
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6639 </s></p></subchap2> |
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6640 <subchap2><p type="main"><s> |
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6641 Super autem <tympanum> |
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6642 planum eadem ratione dentatum inclusum in altero loculamento conlocetur, convenientibus dentibus denticulo, qui |
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6643 in secundi tympani latere fuerit fixus, in eoque tympano |
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6644 foramina fiant, quantum diurni itineris miliariorum numero |
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6645 cursus raedae possit exire. </s><s>minus plusve rem nihil inpedit. </s><s>et in his foraminibus omnibus calculi rotundi conlocentur, |
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6646 inque eius tympani theca, sive id loculamentum est, fiat |
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6647 foramen unum habens canaliculum, qua calculi, qui in eo |
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6648 tympano inpositi fuerint, cum ad eum locum venerint, in |
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6649 raedae capsum et vas aeneum, quod erit suppositum, singuli cadere possint. |
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6650 </s></p></subchap2> |
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6651 <subchap2><p type="main"><s> |
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6652 Ita cum rota progrediens secum agat tympanum imum et denticulum eius singulis versationibus |
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6653 tympani superioris denticulos inpulsu cogat praeterire, |
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6654 efficiet, <ut,> cum <emph type="smallcaps"/>CCCC<emph.end/> imum versatum fuerit, superius tympanum semel circumagatur et denticulus, qui est ad latus eius fixus, unum denticulum tympani plani producat. </s><s>cum |
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6655 ergo <emph type="smallcaps"/>CCCC<emph.end/> versationibus imi tympani semel superius versabitur, progressus efficiet spatia pedum milia quinque |
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6656 id est passus mille. </s><s>ex eo quot calculi deciderint, sonando |
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6657 singula milia exisse monebunt. </s><s>numerus vero calculorum |
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6658 ex imo collectus summa diurni <itineris> miliariorum |
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6659 numerum indicabit. |
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6660 </s></p></subchap2> |
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6661 <subchap2><p type="main"><s> |
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6662 Navigationibus vero similiter paucis rebus commutatis |
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6663 eadem ratione <eadem> efficiuntur. </s><s>namque traicitur per latera parietum axis habens extra navem prominentia capita, |
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6664 in quae includuntur rotae diametro pedum quaternûm, |
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6665 extantes habentes circa frontes adfixas pinnas aquam tangentes. </s><s>item medius axis in media navi <habet> tympanum cum uno denticulo extanti extra suam rotunditatem. </s><s>ad eum locum conlocatur loculamentum habens inclusum |
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6666 in se tympanum, peraequatis dentibus <emph type="smallcaps"/>CCCC<emph.end/> convenientibus |
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6667 denticulo tympani, quod est in axe inclusum, praeterea |
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6668 ad latus adfixum extantem extra rotunditatem alterum dentem unum. |
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6669 </s></p></subchap2> |
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6670 <subchap2><p type="main"><s> |
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6671 Insuper in altero loculamento cum eo confixo |
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6672 inclusum tympanum planum ad eundem modum dentatum, |
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6673 quibus dentibus <convenit> denticulus, qui est ad latus fixus |
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6674 tympano, quod est in cultro conlocatum, ut eos dentes, |
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6675 qui sunt plani tympani, singulis versationibus singulos |
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6676 dens inpellendo in orbem planum tympanum verset. </s><s>in |
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6677 plano autem tympano foramina fiant, in quibus foraminibus conlocabuntur calculi rotundi. </s><s>in theca eius tympani, |
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6678 sive loculamentum est, unum foramen excavetur habens |
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6679 canaliculum, qua calculus liberatus ab obstantia cum ceciderit in vas aereum, sonitu significet. |
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6680 </s></p></subchap2> |
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6681 <subchap2><p type="main"><s> |
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6682 Ita navis cum habuerit impetum aut remorum aut ventorum flatu, pinnae, |
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6683 quae erunt in rotis, tangentes aquam adversam vehementi |
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6684 retrorsus inpulsu coactae versabunt rotas; eae autem involvendo se agent axem, axis vero tympanum, cuius dens |
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6685 circumactus singulis versationibus singulos secundi tympani dentes inpellendo modicas efficiet circumitiones. </s><s>ita |
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6686 cum <emph type="smallcaps"/>CCCC<emph.end/> ab pinnis rotae fuerint versatae, semel tympanum circumactum inpellet dente, qui est ad latus fixus, |
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6687 plani tympani dentem. </s><s>igitur circumitio tympani plani |
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6688 quotienscumque ad foramen perducet calculos, emittet |
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6689 per canaliculum. </s><s>ita et sonitu et numero indicabit miliaria |
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6690 spatia navigationis. |
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6691 </s> |
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6692 </p><p type="main"><s> |
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6693 Quae pacatis et sine metu temporibus ad utilitatem |
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6694 et delectationem paranda, quemadmodum debeant fieri, peregi [esse futurum]. |
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6695 </s></p></subchap2> |
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6696 </subchap1> |
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6697 <subchap1> |
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6698 <subchap2><p type="main"><s> |
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6699 Nunc vero quae ad praesidia periculi et necessitatem salutis sunt inventa, id est scorpionum et ballistarum rationes, quibus symmetriis comparari possint, exponam. |
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6700 </s> |
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6701 </p><p type="main"><s> |
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6702 Omnes proportiones eorum organorum ratiocinandorum |
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6703 <sumuntur> ex proposita sagittae longitudine, quam id organum mittere debet, eiusque nonae partis fit foraminis in capitulis magnitudo, per quae tenduntur nervi torti, qui bracchia continere debent. |
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6704 </s></p></subchap2> |
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6705 <subchap2><p type="main"><s> |
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6706 Ipsûm tamen eorum foraminum capituli |
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6707 <e magnitudine omnis> deformatur altitudo et latitudo. </s><s>tabulae, quae sunt in summo et in imo capituli, peritretoe |
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6708 quae vocantur, fiant crassitudine unius foraminis, latitudine |
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6709 unius et eius dodrantis, in extremis foraminis unius et |
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6710 eius <<emph type="smallcaps"/>S<emph.end/>>. parastaticae dextra ac sinistra praeter cardines |
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6711 altae foraminum <emph type="smallcaps"/>IIII<emph.end/>, crassae foraminum† quinum; cardines foraminis dimidia. <a> parastatica ad foramen spatium foraminis<note>a symbol follows foraminis in the text; description: the letter 's' followed by the number '9' with a marcron</note>, a foramine ad medianam parastaticam |
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6712 item foraminis <note>a symbol follows foraminis in the text; description: the letter 'S' followed by the number '9' with a marcron</note>. latitudo parastados mediae unius foraminis et eius <emph type="smallcaps"/>⟨T⟩K<emph.end/>, crassitudo foraminis unius. |
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6713 </s></p></subchap2> |
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6714 <subchap2><p type="main"><s> |
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6715 Intervallum, ubi sagitta conlocatur in media parastade, foraminis partis quartae. </s><s>anguli quattuor, qui sunt circa, in lateribus |
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6716 et frontibus lamnis ferreis aut stylis aereis et clavis configantur. </s><s>canaliculi, qui graece <foreign lang="greek">su=rigc</foreign> dicitur, longitudo |
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6717 foraminum <emph type="smallcaps"/>XVIIII<emph.end/>. regularum, quas nonnulli bucculas appellant, quae dextra ac sinistra canalem figuntur, <longitudo> foraminum <emph type="smallcaps"/>XVIIII<emph.end/>, altitudo foraminis unius et crassitudo. </s><s>et adfiguntur regulae duae, in quas inditur sucula, |
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6718 habentes longitudinem foraminum trium, latitudinem dimidium foraminis. </s><s>crassitudo bucculae, quae adfigitur |
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6719 (vocitatur scamillum seu, quemadmodum nonnulli, loculamentum) securiclatis cardinibus fixa, foraminis <emph type="smallcaps"/>I<emph.end/>, altitudo |
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6720 foraminis <emph type="smallcaps"/>S¯<emph.end/><note>a symbol follows foraminis in the text; description: the letter 's' followed by a long macron</note>. suculae longitudo foraminum <emph type="smallcaps"/>::<emph.end/><note>a symbol follows foraminum in the text; description: two colons side by side</note>, crassitudo suculae foraminis <emph type="smallcaps"/>VIIII<emph.end/>. |
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6721 </s></p></subchap2> |
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6722 <subchap2><p type="main"><s> |
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6723 Epitoxidos longitudo foraminis <emph type="smallcaps"/>S¯<emph.end/><note>a symbol follows foraminis in the text; description: the letter 'S' followed by a long macron</note>, |
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6724 crassitudo <emph type="smallcaps"/>:¯<emph.end/><note>a symbol follows crassitudo in the text; description: the character ':' followed by a long macron</note>. item chelonii. </s><s>cheles, sive manucla dicitur, |
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6725 longitudo foraminum trium, latitudo et crassitudo <emph type="smallcaps"/>S÷<emph.end/><note>a symbol follows crassitudo in the text; description: the letter 'S' followed by two dots separated by a line</note>. |
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6726 canalis fundi longitudo foraminum <emph type="smallcaps"/>XVI<emph.end/>, crassitudo foraminis <note>a symbol follows foraminis in the text; description: a dotted outline of a circle</note>, altitudo <emph type="smallcaps"/>S÷<emph.end/><note>a symbol follows altitudo in the text; description: the letter 'S' followed by two dots separated by a line</note>. columellae basis in solo foraminum <emph type="smallcaps"/>VIII<emph.end/>, |
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6727 latitudo in plinthide, in qua statuitur columella, foraminis |
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6728 <note>a symbol follows foraminis in the text; description: the letter 'S' followed by a long macron above three dots</note>, crassitudo <emph type="smallcaps"/>FZ<emph.end/>, columellae longitudo ad cardinem foraminum <emph type="smallcaps"/>XII<emph.end/>, latitudo foraminis <emph type="smallcaps"/>S÷<emph.end/><note>a symbol follows crassitudo in the text; description: the letter 'S' followed by two dots separated by a line</note>, crassitudo <note>a symbol follows crassitudo in the text; description: the letters 'CC' underneath a macron, followed by the number '9'</note>. eius |
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6729 capreoli tres, quorum longitudo foraminum <emph type="smallcaps"/>VIIII<emph.end/>, latitudo |
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6730 dimidium foraminis, crassitudo <emph type="smallcaps"/>Z<emph.end/>. cardines longitudinis |
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6731 foraminis; columellae capitis longitudo <emph type="smallcaps"/>ISK<emph.end/>; antefixi latitudo foraminis <note>a symbol follows foraminis in the text; description: an odd symbol followed by the letter 'S' followed by the number '9' with a marcron</note>, crassitudo <emph type="smallcaps"/>I<emph.end/>. |
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6732 </s></p></subchap2> |
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6733 <subchap2><p type="main"><s> |
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6734 Posterior minor columna, quae graece dicitur <foreign lang="greek">a)nti/basis</foreign>, foraminum <emph type="smallcaps"/>VIII<emph.end/>, latitudo |
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6735 foraminis <emph type="smallcaps"/>SI<emph.end/>, crassitudinis <emph type="smallcaps"/>FZ<emph.end/>. subiectio foraminum <emph type="smallcaps"/>XII<emph.end/>, |
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6736 latitudinis et crassitudinis eiusdem, cuius minor columna |
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6737 illa. </s><s>supra minorem columnam chelonium, sive pulvinus |
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6738 dicitur, foraminum <emph type="smallcaps"/>IIS<emph.end/>, altitudinis <emph type="smallcaps"/>IIS<emph.end/>, latitudinis <emph type="smallcaps"/>SI¯<emph.end/> |
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6739 cherolabae sucularum foraminum <emph type="smallcaps"/>II S¯<emph.end/>, crassitudo foraminis <note>a symbol follows foraminis in the text; description: the letter 'S' followed by 'II' over which is a tilde</note>, latitudo <emph type="smallcaps"/>IS<emph.end/>. transversariis c |
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6740 |
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6741 |
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6742 |
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6743 um cardinibus longitudo foraminum <note>a symbol follows foraminum in the text; description: a dotted outline of a circle</note>, latitudo <emph type="smallcaps"/>IS<emph.end/> et crassitudo. </s><s>bracchii longitudo [<emph type="smallcaps"/>IS<emph.end/>] foraminum <emph type="smallcaps"/>VII<emph.end/>, crassitudo ab radice foraminis |
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6744 <emph type="smallcaps"/>FZ<emph.end/>, in summo foraminis <emph type="smallcaps"/>⟨CC⟩Z<emph.end/>; curvaturae foraminis <emph type="smallcaps"/>VIII<emph.end/>. |
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6745 </s></p></subchap2> |
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6746 <subchap2><p type="main"><s> |
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6747 Haec his proportionibus aut adiectionibus aut detractionibus comparantur. </s><s>nam si capitula altiora, quam erit latitudo, facta fuerint, quae anatona dicuntur, de bracchiis |
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6748 demetur, ut, quo mollior est tonus propter altitudinem |
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6749 capituli, bracchii brevitas faciat plagam vehementiorem. |
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6750 <si> minus altum capitulum fuerit, quod catatonum dicitur, propter vehementiam bracchia paulo longiora constituentur, uti facile ducantur. </s><s>namque quemadmodum |
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6751 vectis, cum est longitudine pedum quinque, quod onus |
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6752 <emph type="smallcaps"/>IIII<emph.end/> hominibus extollit, id, qui est <emph type="smallcaps"/>X<emph.end/>, duobus elevat, eodem |
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6753 modo bracchia, quo longiora sunt, mollius, quo breviora, |
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6754 durius ducuntur. |
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6755 </s></p></subchap2> |
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6756 </subchap1> |
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6757 <subchap1> |
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6758 <subchap2><p type="main"><s> |
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6759 Catapultarum rationes, e quibus membris ex portionibus componantur, dixi. </s><s>ballistarum autem rationes variae sunt et differentes unius effectus causa comparatae. </s><s>aliae enim vectibus suculis, nonnullae polyspastis, aliae |
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6760 ergatis, quaedam etiam tympanorum torquentur rationibus. </s><s>sed tamen nulla ballista perficitur nisi ad propositam |
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6761 magnitudinem ponderis saxi, quod id organum mittere |
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6762 debet. </s><s>igitur de ratione earum non est omnibus expeditum, |
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6763 nisi qui geometricis rationibus numeros et multiplicationes habent notas. |
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6764 </s></p></subchap2> |
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6765 <subchap2><p type="main"><s> |
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6766 Nam quae fiunt in capitibus foramina, per |
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6767 quorum spatia contenduntur capillo maxime muliebri vel |
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6768 nervo funes, magnitudine ponderis lapidis, quem debet |
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6769 ea ballista mittere, ex ratione gravitatis proportiones |
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6770 sumuntur, quemadmodum catapultis de longitudinibus |
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6771 sagittarum. </s><s>itaque ut etiam qui geometricen non noverunt, |
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6772 habeant expeditum, ne in periculo bellico cogitationibus |
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6773 detineantur, quae ipse faciundo certa cognovi quaeque ex |
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6774 parte accepi a praeceptoribus, finita exponam, et quibus |
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6775 <ponde>ribus Graecorum pensiones ad modulos habeant rationem, ad eam ut etiam nostris ponderibus respondeant, tradam explicata. |
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6776 </s></p></subchap2> |
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6777 <subchap2><p type="main"><s> |
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6778 Nam quae ballista duo pondo saxum mittere |
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6779 debet, foramen erit in eius capitulo digitorum <emph type="smallcaps"/>V<emph.end/>; si pondo |
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6780 <emph type="smallcaps"/>IIII<emph.end/>, digitorum sex et <gap/> digitorum <emph type="smallcaps"/>VII<emph.end/>; decem pondo |
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6781 digitorum <emph type="smallcaps"/>VIII<emph.end/>; viginti pondo digitorum <emph type="smallcaps"/>X<emph.end/>; <emph type="smallcaps"/>XL<emph.end/> pondo |
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6782 digitorum <emph type="smallcaps"/>XII SK<emph.end/>; <emph type="smallcaps"/>LX<emph.end/> pondo digitorum <emph type="smallcaps"/>XIII<emph.end/> et digiti octava |
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6783 parte; <emph type="smallcaps"/>LXXX<emph.end/> pondo digitorum <emph type="smallcaps"/>XV<emph.end/>; <emph type="smallcaps"/>CXX<emph.end/> pondo <emph type="smallcaps"/>I<emph.end/> pedis et |
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6784 sesquidigiti; <emph type="smallcaps"/>C<emph.end/> et <emph type="smallcaps"/>LX<emph.end/> pedis <emph type="smallcaps"/>I9<emph.end/>; <emph type="smallcaps"/>C<emph.end/> et <emph type="smallcaps"/>LXXX<emph.end/> pedis et digitorum |
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6785 <emph type="smallcaps"/>V<emph.end/>; <emph type="smallcaps"/>CC<emph.end/> pondo pedis et digitorum <emph type="smallcaps"/>VI<emph.end/>; <emph type="smallcaps"/>CC<emph.end/> et <emph type="smallcaps"/>X<emph.end/><<emph type="smallcaps"/>L<emph.end/> pondo> pedis <emph type="smallcaps"/>I<emph.end/> et digitorum <emph type="smallcaps"/>VII<emph.end/>; <emph type="smallcaps"/>CCCLX<emph.end/> <gap/> pedis <emph type="smallcaps"/>I S<emph.end/>. |
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6786 </s></p></subchap2> |
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6787 <subchap2><p type="main"><s> |
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6788 Cum ergo foraminis magnitudo fuerit instituta, describatur |
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6789 scutula, quae graece <foreign lang="greek">peri/trhtos</foreign> appellatur, cuius longitudo foraminum †vel, latitudo duo et sextae partis. </s><s>dividatur medium lineae descriptae et, cum divisum erit, |
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6790 contrahantur extremae partes eius formae, ut obliquam |
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6791 deformationem habeat longitudinis sexta parte, latitudinis, |
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6792 ubi est versura, quarta parte. </s><s>in qua parte autem est |
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6793 curvatura, in quibus procurrunt cacumina angulorum, eo |
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6794 foramina convertantur, et contractura latitudinis redeat |
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6795 introrsus sexta parte, foramen autem oblongius sit tanto, |
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6796 quantam epizygis habet crassitudinem. </s><s>cum deformatum |
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6797 fuerit, circum levigatur, extremam ut habeat curvaturam molliter circumactam. |
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6798 </s></p></subchap2> |
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6799 <subchap2><p type="main"><s> |
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6800 Crassitudo eius foraminis <note>a symbol follows foraminis in the text; description: a macron over the letters SI</note> constituatur. </s><s>modioli foraminum duo, latitudo <emph type="smallcaps"/>IS9<emph.end/>, crassitudo praeterquam quod in foramine inditur foraminis <note>a symbol follows regulae in the text; description: the letter 'S' followed by a gamma</note>, ad extremum autem latitudo foraminis <note>a symbol follows foraminis in the text; description: the letters 'II' underneath a macron, followed by a macron</note>. parastatarum longitudo foraminis <emph type="smallcaps"/>VSF<emph.end/>; curvatura foraminis pars dimidia; |
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6801 crassitudo foraminis <note>a symbol follows foraminis in the text; description: a macron over the letters CC</note> et partis <emph type="smallcaps"/>LX<emph.end/>. adicitur autem ad |
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6802 mediam latitudinem, quantum est prope foramen factum |
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6803 in descriptione, latitudine et crassitudine foraminis <emph type="smallcaps"/>V<emph.end/>, altitudo parte <emph type="smallcaps"/>IIII<emph.end/>. |
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6804 </s></p></subchap2> |
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6805 <subchap2><p type="main"><s> |
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6806 Regulae, quae est in mensa, longitudo foraminum <emph type="smallcaps"/>VIII<emph.end/>; latitudo et crassitudo dimidium foraminis. </s><s>cardines <note>a symbol follows cardines in the text; description: a macron over the letters II, followed by a Z</note>, crassitudo foraminis <note>a symbol follows foraminis in the text; description: a macron over the letters I99</note>. curvatura regulae <note>a symbol follows regulae in the text; description: a gamma, followed by a 'C' witha cedilla, followed by a K</note>. exterioris regulae latitudo et crassitudo tantundem; |
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6807 longitudo, quam dederit ipsa versura deformationis et |
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6808 parastaticae latitudo ad suam curvaturam <emph type="smallcaps"/>K<emph.end/>. superiores |
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6809 autem regulae aequales erunt inferioribus <emph type="smallcaps"/>K<emph.end/>. mensae transversarii foraminis <note>a symbol follows foraminis in the text; description: a macron over the letters CCC</note><emph type="smallcaps"/>k<emph.end/>. |
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6810 </s></p></subchap2> |
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6811 <subchap2><p type="main"><s> |
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6812 Climacidos scapi longitudo foraminum <emph type="smallcaps"/>XIII<emph.end/>, crassitudo <emph type="smallcaps"/>IK<emph.end/>, intervallûm mediûm latitudo foraminis et parte quarta, crassitudo pars <emph type="smallcaps"/>VIII K<emph.end/>. climacidos superioris pars quae est proxima bracchiis, quae coniuncta est mensae, tota longitudine dividatur in partes |
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6813 <emph type="smallcaps"/>V<emph.end/>. ex his dentur duae partes ei membro, quod Graeci |
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6814 <foreign lang="greek">xh=lhn</foreign> vocant <note>a symbol follows vocant in the text; description: a dotted outline of a circle></note> <note>a symbol follows regulae in the text; description: a gamma</note>, crassitudo <emph type="smallcaps"/>9<emph.end/>, longitudo foraminum <emph type="smallcaps"/>III<emph.end/> et semis <emph type="smallcaps"/>K<emph.end/>; extantia cheles foraminis <emph type="smallcaps"/>S<emph.end/>; †plentigomatos foraminis <note>a symbol follows foraminis in the text; description: a macron over the letters</note> et sicilicus. </s><s>quod autem est ad axona, |
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6815 quod appellatur frons transversarius, foraminum trium. |
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6816 </s></p></subchap2> |
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6817 <subchap2><p type="main"><s> |
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6818 Interiorum regularum latitudo foraminis <note>a symbol follows foraminis in the text; description: a macron over the letter gamma</note>, crassitudo <note>a symbol follows crassitudo in the text; description: a Chi followed by a kappa</note>chelonii replum, quod est operimentum, securiculae |
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6819 includitur <emph type="smallcaps"/>K<emph.end/>. scaporum climacidos latitudo <note>a symbol follows latitudo in the text; description: a double tilde followed by a 'C' with a cedilla</note>, crassitudo foraminis <emph type="smallcaps"/>XII K<emph.end/>. crassitudo quadrati, quod est ad climacida, foraminis <emph type="smallcaps"/>FC<emph.end/>, in extremis <emph type="smallcaps"/>K<emph.end/>, rotundi autem |
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6820 axis diametros aequaliter erit cheles, ad claviculas autem minus parte sexta decuma <emph type="smallcaps"/>K<emph.end/>. |
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6821 </s></p></subchap2> |
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6822 <subchap2><p type="main"><s> |
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6823 Anteridon longitudo foraminum †eius, latitudo in imo foraminis <note>a symbol follows foraminis in the text; description: a macron over the letter gamma</note>, in summo crassitudo <note>a symbol follows regulae in the text; description: a gamma, followed by followed by a K</note>. basis, quae appellatur <foreign lang="greek">e)sxa/ra</foreign>, longitudo foraminum <emph type="smallcaps"/>::::<emph.end/>, antibasis foraminum <emph type="smallcaps"/>IIII<emph.end/>, utriusque crassitudo et latitudo foraminis <note>a symbol follows foraminis in the text; description: three dots above the three dot outline of a triangle</note>. compingitur autem dimidia altitudinis <emph type="smallcaps"/>K<emph.end/>. columna, latitudo et crassitudo <emph type="smallcaps"/>IS<emph.end/>. altitudo autem non habet foraminis proportionem, sed erit quod opus erit ad usum. </s><s>bracchii longitudo foraminum <emph type="smallcaps"/>VI<emph.end/>, crassitudo in radice foraminis, in extremis <emph type="smallcaps"/>F<emph.end/>. |
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6824 </s> |
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6825 </p><p type="main"><s> |
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6826 De ballistis et catapultis symmetrias, quas maxime expeditas putavi, exposui. </s><s>quemadmodum autem contentionibus eae temperentur e nervo capilloque tortis rudentibus, quantum comprehendere scriptis potuero, non praetermittam. |
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6827 </s></p></subchap2> |
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6828 </subchap1> |
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6829 <subchap1> |
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6830 <subchap2><p type="main"><s> |
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6831 Sumuntur tigna amplissima longitudine; supra |
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6832 figuntur chelonia, in quibus includuntur suculae. </s><s>per media |
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6833 autem spatia tignorum insecantur <et> exciduntur formae, |
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6834 in quibus excisionibus includuntur capitula catapultarum, |
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6835 cuneisque distinentur, ne in contentionibus moveantur. </s><s>tum vero modioli aerei in ea capitula includuntur et in |
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6836 eos cuneoli ferrei, quas <foreign lang="greek">e)pizugi/das</foreign> Graeci vocant, conlo |
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6837 cantur. |
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6838 </s></p></subchap2> |
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6839 |
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6840 <subchap2><p type="main"><s> |
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6841 deinde ansae rudentum induntur per foramina |
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6842 capitulorum, in alteram partem traiciuntur, deinde in suculas coiciuntur <et> involvuntur, uti vectibus per eas |
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6843 ext<enti> rudentes, cum manibus sunt tacti, aequalem |
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6844 utrique sonitus habeant responsum. </s><s>tunc autem cuneis |
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6845 ad foramina concluduntur, ut non possint se remittere. </s><s>ita traiecti in alteram partem eadem ratione vectibus per |
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6846 suculas extenduntur, donec aequaliter sonent. </s><s>ita cuneorum conclusionibus ad sonitum musicis auditionibus catapultae temperantur. |
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6847 </s> |
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6848 </p><p type="main"><s> |
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6849 De his rebus quae potui dixi. </s><s>restat mihi de oppugnatoriis rebus, quemadmodum machinationibus et duces victores et civitates defensae esse possint. |
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6850 </s></p></subchap2> |
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6851 </subchap1> |
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6852 <subchap1> |
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6853 <subchap2><p type="main"><s> |
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6854 Primum ad oppugnationes aries sic inventus memoratur esse. </s><s>Carthaginienses ad Gadis oppugnandas castra posuerunt. </s><s>cum |
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6855 autem castellum ante cepissent, id demoliri sunt conati. </s><s>posteaquam non habuerunt ad demolitionem ferramenta, |
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6856 sumpserunt tignum idque manibus sustinentes capiteque |
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6857 eius summum murum continenter pulsantes summos lapidum ordines deiciebant, et ita gradatim ex ordine totam communitionem dissipaverunt. |
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6858 </s></p></subchap2> |
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6859 <subchap2><p type="main"><s> |
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6860 Postea quidam faber Tyrius nomine Pephrasmenos hac ratione et inventione inductus |
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6861 malo statuto ex eo alterum transversum uti trutinam |
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6862 suspendit et reducendo et inpellendo vementibus plagis |
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6863 deiecit Gaditanorum murum. </s><s>Geras autem Chalcedonius |
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6864 de materia primum basim subiectis rotis fecit supraque |
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6865 compegit arrectariis et iugis varas et in his suspendit |
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6866 arietem coriisque bubulis texit, uti tutiores essent, qui |
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6867 in ea machinatione ad pulsandum murum essent conlocati. </s><s>is autem, quod tardos conatus habuerat, testudinem arietariam appellare coepit. |
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6868 </s></p></subchap2> |
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6869 <subchap2><p type="main"><s> |
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6870 His tunc primis gradibus positis ad id genus machinationis, postea cum Philippus, |
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6871 Amyntae filius, Byzantios oppugnaret, Polyidos Thettalos |
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6872 pluribus generibus et facilioribus explicavit, a quo receperunt doctrinam Diades et Charias, qui cum Alexandro |
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6873 militaverunt. |
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6874 </s> |
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6875 </p><p type="main"><s> |
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6876 Itaque Diades scriptis suis ostendit se invenisse turres |
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6877 ambulatorias, quas etiam dissolutas in exercitu circumferre solebat, praeterea terebram et ascendentem machinam, |
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6878 qua ad murum plano pede transitus esse posset, etiam corvum demolitorem, quem nonnulli gruem appellant. |
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6879 </s></p></subchap2> |
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6880 <subchap2><p type="main"><s> |
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6881 Non minus utebatur ariete subrotato, cuius rationes scriptas |
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6882 reliquit. </s><s>turrem autem minimam ait oportere fieri ne |
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6883 minus altam cubitorum <emph type="smallcaps"/>LX<emph.end/>, latitudinem <emph type="smallcaps"/>XVII<emph.end/>, contracturam |
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6884 autem summam imae partis quintam, arrectaria turris in |
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6885 imo dodrantalia, in summo semipedalia. </s><s>fieri autem ait |
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6886 oportere eam turrem tabulatorum decem, singulis partibus in ea fenestratis. |
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6887 </s></p></subchap2> |
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6888 <subchap2><p type="main"><s> |
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6889 Maiorem vero turrem altam cubitorum <emph type="smallcaps"/>CXX<emph.end/>, latam cubitorum <emph type="smallcaps"/>XXIII<emph.end/> <<emph type="smallcaps"/>S<emph.end/>>, contracturam item quinta parte, arrectaria pedalia in imo, in summo sedigitalia. </s><s>hanc magnitudinem turris faciebat tabulatorum <emph type="smallcaps"/>XX<emph.end/>, cum |
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6890 haberent singula tabulata circumitionem cubitorum ternûm. </s><s>tegebat autem coriis crudis, ut ab omni plaga essent tutae. |
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6891 </s></p></subchap2> |
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6892 <subchap2><p type="main"><s> |
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6893 Testudinis arietariae comparatio eadem ratione |
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6894 perficiebatur. </s><s>habuerat autem intervallum cubitorum <emph type="smallcaps"/>XXX<emph.end/>, |
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6895 altitudinem praeter fastigium <emph type="smallcaps"/>XIII S<emph.end/>, fastigii autem altitudo |
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6896 ab strato ad summum cubita <emph type="smallcaps"/>XVI<emph.end/>. exibat autem in altum |
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6897 et supra medium tectum fastigium non minus cubita duo, |
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6898 et supra extollebatur turricula <emph type="smallcaps"/>III<emph.end/> tabulatorum, inque |
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6899 tabulato summo statuebantur scorpiones et catapultae, inferioribus congerebatur aquae magna multitudo ad extinguendum, si qua vis ignis inmitteretur. </s><s>constituebatur |
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6900 autem in ea arietaria machina, quae graece dicitur <foreign lang="greek">kriodo/kis</foreign>, in qua conlocabatur torus perfectus in torno, in |
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6901 quo insuper constitutus aries rudentium ductionibus et |
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6902 reductionibus efficiebat magnos operis effectus. </s><s>tegebatur autem is coriis crudis quemadmodum turris. |
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6903 </s></p></subchap2> |
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6904 <subchap2><p type="main"><s> |
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6905 De terebra has explicuit scriptis rationes. </s><s>ipsam machinam uti testudinem in medio habentem conlocatum in orthostatis canalem, quemadmodum in catapultis aut ballistis fieri solet, |
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6906 longitudine cubitorum <emph type="smallcaps"/>L<emph.end/>, altitudine cubiti, in quo constituebatur transversa sucula. </s><s>in capite autem dextra ac |
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6907 sinistra trocleae duae, per quas movebatur quod inerat |
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6908 in eo canali capite ferrato tignum. </s><s>sub eo autem in ipso |
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6909 canali inclusi tori crebriter celeriores et vehementiores efficiebant eius motus. </s><s>supra autem tignum, quod inibi erat, |
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6910 arcus tegebantur ad canalem crebriter, uti sustinerent corium crudum, quo ea machina erat involuta. |
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6911 </s></p></subchap2> |
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6912 <subchap2><p type="main"><s> |
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6913 De corace nihil putavi scribendum, quod animadverterest eam machinam |
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6914 nullam habere virtutem. </s><s>de accessu, quae <foreign lang="greek">e)piba/qra</foreign> graece |
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6915 dicitur, et de marinis machinationibus, †quae per navium |
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6916 aditus habere posse scripsit, tantum pollicitum esse vehementer animadverti neque rationes eorum eum explicavisse. |
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6917 </s> |
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6918 </p><p type="main"><s> |
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6919 Quae sunt ab Diade de machinis scripta, quibus sint |
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6920 comparationibus, exposui. </s><s>nunc quemadmodum a praeceptoribus accepi et utilia mihi videntur, exponam. |
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6921 </s></p></subchap2> |
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6922 </subchap1> |
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6923 <subchap1> |
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6924 <subchap2><p type="main"><s> |
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6925 Testudo, quae ad congestionem fossarum paratur (eaque |
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6926 etiam accessus ad murum potest habere), sic erit facienda. </s><s>basis compingatur, quae graece <foreign lang="greek">e)sxa/ra</foreign> dicitur, quadrata |
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6927 habens quoqueversus latera singula pedum <emph type="smallcaps"/>XXI<emph.end/> et transversaria <emph type="smallcaps"/>IIII<emph.end/>. haec autem contineantur ab alteris duobus crassis <emph type="smallcaps"/>FS<emph.end/>, latis <emph type="smallcaps"/>S<emph.end/>; distent autem transversaria inter se |
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6928 circiter pedes <emph type="smallcaps"/>III S<emph.end/>. supponanturque in singulis intervallis |
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6929 eorum arbusculae, quae graece <foreign lang="greek">a(maco/podes</foreign> dicuntur, in |
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6930 quibus versantur rotarum axes conclusi lamnis ferreis. </s><s>eaeque arbusculae ita sint temperatae, ut habeant cardines et foramina, quo vectes traiecti versationes earum |
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6931 expediant, uti ante et post et ad dextrum seu sinistrum |
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6932 latus, sive oblique ad angulos opus fuerit, ad id per arbusculas versatis progredi possint. |
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6933 </s></p></subchap2> |
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6934 <subchap2><p type="main"><s> |
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6935 Conlocentur autem insuper basim tigna duo in utramque partem proiecta |
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6936 pedes senos, quorum circa proiecturas figantur altera proiecta duo tigna ante frontes pedes <emph type="smallcaps"/>XII<emph.end/>, crassa et lata uti |
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6937 in basi sunt scripta. </s><s>insuper hanc compactionem erigantur |
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6938 postes compactiles praeter cardines pedum <emph type="smallcaps"/>VIIII<emph.end/>, crassitudine quoquoversus palmopedales, intervalla habentes inter se sesquipedis. </s><s>ea concludantur superne intercardinatis |
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6939 trabibus. </s><s>supra trabes conlocentur capreoli cardinibus |
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6940 alius in alium conclusi, in altitudine excitati pedes <emph type="smallcaps"/>XII<emph.end/>. |
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6941 supra capreolos conlocetur quadratum tignum, quo capreoli coniungantur. |
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6942 </s></p></subchap2> |
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6943 <subchap2><p type="main"><s> |
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6944 Ipsi autem laterariis circa fixis contineantur teganturque tabulis maxime palmeis, si non, ex cetera materia, quae maxime habere potest virtutem, praeter pinum aut alnum; haec enim sunt fragilia et faciliter recipiunt ignem. </s><s>circum tabulata conlocentur crates ex tenuibus virgis creberrime textae maximeque recentibus. </s><s>percrudis coriis duplicibus consutis, fartis alga aut paleis in aceto maceratis, circa tegatur machina tota. </s><s>ita ab his reicientur plagae ballistarum et impetus incendiorum. |
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6945 </s></p></subchap2> |
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6946 </subchap1> |
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6947 <subchap1> |
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6948 <subchap2><p type="main"><s> |
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6949 Est autem et aliud genus testudinis, quod reliqua omnia |
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6950 habet, quemadmodum quae supra scripta sunt, praeter |
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6951 capreolos, sed habet circa pluteum et pinnas ex tabulis |
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6952 et superne subgrundas proclinatas, supraque tabulis et |
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6953 coriis firmiter fixis continentur. </s><s>insuper vero argilla cum |
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6954 capillo subacta ad eam crassitudinem inducatur, ut ignis |
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6955 omnino non possit ei machinae nocere. </s><s>possunt autem, si |
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6956 opus fuerit, eae machinae ex <emph type="smallcaps"/>VIII<emph.end/> rotis esse, si ad loci |
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6957 naturam ita opus fuerit temperare. </s><s>quae autem testudines |
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6958 ad fodiendum comparantur (<foreign lang="greek">o)rukti/des</foreign> graece dicuntur), |
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6959 cetera omnia habent, uti supra scriptum est, frontes vero |
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6960 earum fiunt quemadmodum anguli trigoniorum, uti a muro |
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6961 tela cum in eas mittantur, non planis frontibus excipiant |
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6962 plagas sed ab lateribus labentes, sine periculoque fodientes, |
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6963 qui intus sunt, tueantur. |
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6964 </s></p></subchap2> |
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|
6965 <subchap2><p type="main"><s> |
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6966 Non mihi etiam videtur esse alienum de testudine, |
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6967 quam Hegetor Byzantius fecit, quibus rationibus sit facta, |
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6968 exponere. </s><s>fuerat enim eius baseos longitudo pedum <emph type="smallcaps"/>LXIII<emph.end/>, |
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6969 latitudo <emph type="smallcaps"/>XLII<emph.end/>. arrectaria, quae supra compactionem erant |
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6970 quattuor conlocata, ex binis tignis fuerant compacta, in |
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6971 altitudinibus singula pedum <emph type="smallcaps"/>XXXVI<emph.end/>, crassitudine palmopedali, latitudine sesquipedali. </s><s>basis eius habuerat rotas |
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6972 <emph type="smallcaps"/>VIII<emph.end/>, quibus agebatur. </s><s>fuerat autem earum altitudo pedum |
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6973 <emph type="smallcaps"/>VI S÷<emph.end/>, crassitudo pedum <emph type="smallcaps"/>iii<emph.end/>, ita fabricata triplici materia: |
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6974 alternis se contra subscudibus inter se coagmentatae lamnisque ferreis ex frigido ductis alligatae, |
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6975 </s></p></subchap2> |
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6976 <subchap2><p type="main"><s> |
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6977 Eae in arbusculis, sive amaxopodes dicuntur, habuerant versationes. </s><s>ita supra transtrorum planitiem, quae supra basim fuerat, |
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6978 postes erant erecti pedes <emph type="smallcaps"/>XVIII<emph.end/><note>a symbol follows XVIII in the text; description: a macron with tow dots above and two dots below</note>, latitudine <emph type="smallcaps"/>S÷<emph.end/>, crassitudine <emph type="smallcaps"/>FZ<emph.end/>, distantes inter se <emph type="smallcaps"/>IS÷<emph.end/>. supra eos trabes circumclusae continebant totam compactionem latae pede <emph type="smallcaps"/>I<emph.end/><note>a symbol follows I in the text; description: a tilde with two dots above and two dots below over</note>, crassae <emph type="smallcaps"/>S÷<emph.end/>. supra eam capreoli extollebantur altitudine pedum <emph type="smallcaps"/>XII<emph.end/>; supra capreolos tignum conlocatum coniungebat capreolorum compactiones. </s><s>item fixa habuerant lateraria in transverso, quibus insuper contabulatio circumdata contegebat inferiora. |
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6979 </s></p></subchap2> |
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6980 <subchap2><p type="main"><s> |
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6981 Habuerat autem mediam contabulationem supra trabiculas, ubi scorpiones et catapultae conlocabantur. </s><s>erigebantur et arrectaria duo compacta pedum <emph type="smallcaps"/>XXXXV<emph.end/>, crassitudine sesquipedali, latitudine <foreign lang="greek">*r*i*i</foreign>, coniuncta |
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6982 capitibus transversario cardinato tigno et altero mediano |
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6983 inter duos scapos cardinato et lamnis ferreis religato. </s><s>quo insuper conlocata erat alternis materies inter scapos |
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6984 et transversarium traiecta e cheloniis et anconibus firmiter |
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6985 inclusa. </s><s>in ea materia fuerunt ex torno facti axiculi duo, e quibus funes alligati retinebant arietem. |
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6986 </s></p></subchap2> |
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6987 <subchap2><p type="main"><s> |
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6988 Supra caput eorum, qui continebant arietem, conlocatum erat pluteum |
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6989 turriculae similitudine ornatum, uti sine periculo duo |
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6990 milites tuto stantes prospicere possent et renuntiare, quas |
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6991 res adversarii conarentur. </s><s>aries autem eius habuerat longitudinem pedum <emph type="smallcaps"/>CLXXX<emph.end/>, latitudine in imo palmopedali, |
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6992 crassitudine <bi>pedali, contracto capite in latitudine †pes, crassitudine <emph type="smallcaps"/>S<emph.end/><note>a symbol follows S in the text; description: a tilde with one dot below</note>. |
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6993 </s></p></subchap2> |
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6994 <subchap2><p type="main"><s> |
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6995 Is autem aries habuerat de ferro duro rostrum, ita uti naves longae solent habere, et ex ipso rostro lamminae ferreae <emph type="smallcaps"/>IIII<emph.end/> circiter pedum <emph type="smallcaps"/>XV<emph.end/> fixae fuerant in materia. </s><s>a capite autem ad imam calcem tigni contenti fuerunt funes <emph type="smallcaps"/>III<emph.end/> crassitudine digitorum <emph type="smallcaps"/>VIII<emph.end/>, ita religati, quemadmodum naves a puppi ad proram continentur, eique funes praecinctura e transversis erant religati habentes inter se palmipedalia spatia. </s><s>insuper coriis crudis totus aries erat involutus. </s><s>ex quibus autem funibus pendebat, eorum capita fuerunt ex ferro factae quadruplices catenae, et ipsae coriis crudis erant involutae. |
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6996 </s></p></subchap2> |
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6997 <subchap2><p type="main"><s> |
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6998 Item habuerat proiectura eius ex tabulis arcam compactam et confixam, in qua <gap/> rudentibus maioribus extentis, per quarum asperitates non labentibus pedibus faciliter ad murum perveniebatur. </s><s>atque ea machina sex modis movebatur: progressu, <regressu,> item latere dextra et sinistra, porrectiones non minus in altitudinem extollebantur et in imum inclinatione demittebantur. </s><s>erigebatur autem machina in altitudinem ad disiciendum murum circiter pedes <emph type="smallcaps"/>C<emph.end/>, item a latere dextra ac sinistra procurrendo praestringebat |
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6999 non minus pedes <emph type="smallcaps"/>C<emph.end/>. gubernabant eam homines <emph type="smallcaps"/>C<emph.end/> habentem pondus talentûm quattuor milium, quod fit <emph type="smallcaps"/>CCCC<emph.end/><note>a symbol follows CCCC in the text; description: LXXX with a macro above</note>; |
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7000 pondo. |
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7001 </s></p></subchap2> |
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7002 </subchap1> |
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7003 <subchap1> |
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7004 <subchap2><p type="main"><s> |
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7005 De scorpionibus et catapultis et ballistis etiamque testudinibus et turribus, quae maxime mihi videbantur idonea et a quibus essent inventa et quemadmodum fieri deberent, explicui. </s><s>scalarum autem et carchesiorum et eorum, quorum rationes sunt inbecilliores, non necesse habui scribere. </s><s>haec etiam milites per se solent facere. </s><s>neque ea ipsa omnibus locis neque eisdem rationibus possunt utilia esse, quod differentes sunt munitiones munitionibus nationumque fortitudines. </s><s>namque alia ratione ad audaces et temerarios, alia ad diligentes, aliter ad timidos machinationes debent comparari. |
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7006 </s></p></subchap2> |
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7007 <subchap2><p type="main"><s> |
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7008 Itaque his praescriptionibus si qui attendere voluerit <et> ex varietate eorum eligendo |
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7009 in unam comparationem conferre, non indigebit auxiliis, |
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7010 sed quascumque res ex rationibus aut locis opus fuerit, |
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7011 sine dubitatione poterit explicare. </s><s>de repugnatoriis vero |
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7012 non est scriptis explicandum. </s><s>non enim ad nostra scripta |
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7013 hostes comparant res oppugnatorias, sed machinationes |
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7014 eorum ex tempore sollerti consiliorum celeritate sine machinis saepius evertuntur. </s><s>quod etiam Rhodiensibus memoratur usu venisse. |
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7015 </s></p></subchap2> |
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7016 <subchap2><p type="main"><s> |
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7017 Diognetus enim fuerat Rhodius architectus, et ei de publico quotannis certa merces pro artis |
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7018 dignitate tribuebatur ad honorem. </s><s>eo tempore quidam |
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7019 architectus ab Arado nomine Callias Rhodum cum venisset, |
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7020 acroasin fecit exemplarque protulit muri et supra id machinam in carchesio versatili constituit, quae helepolim |
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7021 ad moenia accedentem corripuit et transtulit intra murum. </s><s>hoc exemplar Rhodii cum vidissent, admirati ademerunt |
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7022 Diogneto, quod fuerat quotannis constitutum, et eum honorem ad Calliam transtulerunt. |
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7023 </s></p></subchap2> |
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7024 <subchap2><p type="main"><s> |
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7025 Interea rex Demetrius, qui propter animi pertinaciam Poliorcetes est appellatus, contra Rhodum bellum comparando Epimachum |
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7026 Atheniensem nobilem architectum secum adduxit. </s><s>is autem |
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7027 comparavit helepolim sumptibus inmanibus industria laboreque summo, cuius altitudo fuerat pedum <emph type="smallcaps"/>CXXXV<emph.end/>, latitudo |
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7028 pedum <emph type="smallcaps"/>LX<emph.end/>. ita eam ciliciis et coriis crudis confirmavit, ut |
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7029 posset pati plagam lapidis ballista inmissi pondo <emph type="smallcaps"/>CCCLX<emph.end/>; |
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7030 ipsa autem machina fuerat milia pondo <emph type="smallcaps"/>CCCLX<emph.end/>. cum autem |
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7031 Callias rogaretur ab Rhodiis, contra eam helepolim machinam pararet, ut illam, uti pollicitus erat, transferret intra murum, negavit posse. |
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7032 </s></p></subchap2> |
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7033 <subchap2><p type="main"><s> |
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7034 Non enim omnia eisdem rationibus agi possunt, sed sunt alia, quae exemplaribus |
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7035 non magnis similiter magna facta habent effectus; alia |
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|
7036 autem exemplaria non possunt habere, sed per se constituuntur; nonnulla vero sunt, quae in exemplaribus videntur veri similia, cum autem crescere coeperunt, dilabantur. </s><s>ut etiam possumus sic animum advertere. </s><s>terebratur |
|
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|
7037 terebra foramen semidigitale, digitale, sesquidigitale. </s><s>si |
|
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|
7038 eadem ratione voluerimus palmare facere, non habet explicationem, semipedale autem <aut> maius ne cogitandum quidem videtur omnino. |
|
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|
7039 </s></p></subchap2> |
|
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|
7040 <subchap2><p type="main"><s> |
|
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|
7041 Sic item in nonnullis exemplaribus |
|
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|
7042 videntur, quae admodum in minimis fieri videntur, absque |
|
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|
7043 eodem modo in maioribus. </s><s>ideo eodem modo Rhodii ea |
|
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|
7044 de ratione decepti iniuriam cum contumelia Diogneto |
|
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|
7045 fecerunt. </s><s>itaque posteaquam viderunt hostem pertinaciter |
|
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|
7046 infestum, machinationem ad capiendam urbem comparatam, |
|
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|
7047 periculum servitutis, vastitatem civitatis expectandam, procubuerunt Diogneto rogantes, ut auxiliaretur patriae. |
|
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|
7048 </s></p></subchap2> |
|
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|
7049 <subchap2><p type="main"><s> |
|
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|
7050 Is primo negavit se facturum. </s><s>posteaquam ingenuae virgines |
|
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|
7051 et ephebi cum sacerdotibus venerunt ad deprecandum, |
|
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|
7052 tunc est pollicitus his legibus, uti, si eam machinam cepisset, sua esset. </s><s>his ita constitutis, qua machina accessura |
|
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|
7053 erat, ea regione murum pertudit et iussit omnes publice |
|
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|
7054 et privatim quod quisque habuisset aquae, stercoris, luti |
|
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|
7055 per eam fenestram per canales progredientes effundere |
|
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|
7056 ante murum. </s><s>cum ibi magna vis aquae, luti, stercoris |
|
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|
7057 nocte profusa fuisset, postero die helepolis accedens, antequam adpropinquaret ad murum, in umido voragine facta |
|
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|
7058 consedit nec progredi nec egredi postea potuit. </s><s>itaque |
|
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|
7059 Demetrius, cum vidisset sapientia Diogneti se deceptum esse, cum classe sua discessit. |
|
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|
7060 </s></p></subchap2> |
|
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|
7061 <subchap2><p type="main"><s> |
|
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|
7062 Tunc Rhodii Diogneti sollertia liberati bello publice gratias egerunt honoribusque |
|
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|
7063 omnibus eum et ornamentis exornaverunt. </s><s>Diognetus eam |
|
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|
7064 helepolim reduxit in urbem et in publico conlocavit et |
|
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|
7065 inscripsit 'Diognetus e manubiis id populo dedit munus'. |
|
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|
7066 ita in repugnatoriis rebus non tantum machinae, sed etiam |
|
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|
7067 maxime consilia sunt comparanda. |
|
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|
7068 </s></p></subchap2> |
|
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|
7069 <subchap2><p type="main"><s> |
|
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|
7070 Non minus Chio cum supra naves sambucarum machinas hostes comparavissent, noctu Chii terram, harenam, |
|
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|
7071 lapides progesserunt in mare ante murum. </s><s>ita illi postero |
|
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|
7072 die cum accedere voluissent, naves supra aggerationem, |
|
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|
7073 quae fuerat sub aqua, sederunt nec ad murum accedere |
|
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|
7074 nec retrorsus se recipere potuerunt, sed ibi malleolis confixae incendio sunt conflagratae. </s><s>Apollonia quoque cum |
|
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|
7075 circumsederetur et specus hostes fodiendo cogitarent sine |
|
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|
7076 suspicione intra moenia penetrare, id autem a speculatoribus esset Apolloniatibus renuntiatum, perturbati nuntio |
|
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|
7077 propter timorem consiliis indigentes animis deficiebant, |
|
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|
7078 quod neque tempus neque certum locum scire poterant, quo emersum facturi fuissent hostes. |
|
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|
7079 </s></p></subchap2> |
|
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|
7080 <subchap2><p type="main"><s> |
|
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|
7081 Tum vero Trypho Alexandrinus ibi fuerat architectus. <is> intra murum plures specus designavit et fodiendo terram progrediebatur |
|
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|
7082 extra murum dumtaxat extra sagittae missionem et in |
|
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|
7083 omnibus vasa aenea suspendit. </s><s>ex his in una fossura, quae |
|
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|
7084 contra hostium specus fuerat, vasa pendentia ad plagas |
|
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|
7085 ferramentorum sonare coeperunt. </s><s>ita ex eo intellectum |
|
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|
7086 est, qua regione adversarii specus agentes intra penetrare |
|
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|
7087 cogitabant. </s><s>sic lineatione cognita temperavit aenea aquae |
|
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|
7088 ferventis et picis de superne contra capita hostium et |
|
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|
7089 stercoris humani et harenae coctae candentis. </s><s>dein noctu |
|
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|
7090 pertudit crebra foramina et per ea repente perfundendo qui in eo opere fuerunt hostes omnes necavit. |
|
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|
7091 </s></p></subchap2> |
|
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|
7092 <subchap2><p type="main"><s> |
|
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|
7093 Item Massilia cum oppugnaretur et numero supra <emph type="smallcaps"/>XXX<emph.end/> specus |
|
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|
7094 tum agerent, Massilitani suspicati totam quae fuerat ante |
|
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|
7095 murum fossam altiore fossura depresserunt. </s><s>ita specus |
|
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|
7096 omnes exitus in fossam habuerunt. </s><s>quibus autem locis |
|
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|
7097 fossa non potuerat fieri, intra murum barathrum amplissima |
|
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|
7098 longitudine et amplitudine uti piscinam fecerunt contra |
|
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|
7099 eum locum, qua specus agebantur, eamque e puteis et e |
|
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|
7100 portu impleverunt. </s><s>itaque cum specus esset repente naribus apertis, vehemens aquae vis inmissa supplantavit fulturas, quique intra fuerunt, et ab aquae multitudine et ab ruina specus omnes sunt oppressi. |
|
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|
7101 </s></p></subchap2> |
|
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|
7102 <subchap2><p type="main"><s> |
|
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|
7103 Etiam cum agger ad murum contra eos compararetur et arboribus excisis eoque |
|
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|
7104 conlocatis locus operibus exaggeraretur, ballistis vectes |
|
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|
7105 ferreos candentes in id mittendo totam munitionem coegerunt conflagrare. </s><s>testudo autem arietaria cum ad murum |
|
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|
7106 pulsandum accessisset, permiserunt laqueum et eo ariete |
|
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|
7107 constricto, per tympanum ergata circumagentes suspenso |
|
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|
7108 capite eius non sunt passi tangi murum. </s><s>denique totam |
|
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|
7109 machinam malleolis candentibus et ballistarum plagis dissipaverunt. </s><s>ita eae [victoriae civitatum] <civitates> non |
|
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|
7110 machinis, sed contra machinarum rationem architectorum |
|
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|
7111 sollertia sunt liberatae. |
|
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|
7112 </s> |
|
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|
7113 </p><p type="main"><s> |
|
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|
7114 Quas potui de machinis expedire rationes pacis bellique temporibus et utilissimas putavi, in hoc volumine |
|
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7115 perfeci. </s><s>in prioribus vero novem de singulis generibus et |
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7116 partibus comparavi, uti totum corpus omnia architecturae |
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7117 membra in decem voluminibus haberet explicata. |
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7118 </s></p></subchap2> |
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7119 </subchap1> |
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7120 </chap> |
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7121 </body> |
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7122 <back/> |
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7123 </text> |
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7124 |
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7125 </archimedes> |
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7126 |
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7127 |