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<?xml version="1.0"?>

<!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" ><archimedes> <info>

<!DOCTYPE archimedes SYSTEM "../archimedes.dtd" >

<author>Monantheuil, Henri de</author>

<title>Aristotelis Mechanica</title>

<place>Paris</place>

<cvs_file>monan_mecha_01_la_1599</cvs_file>

<cvs_version></cvs_version>

<cvs_version/>

</info> <text> <front> </front> <body> <chap> <pb/>

<s>ARISTOTELIS <lb/>MECHANICA <lb/>Græca, emendata, Latina facta, & <lb/>Commentariis illu&longs;trata. <lb/></s>

<s>A B <lb/><emph type="italics"/>HENRICO MONANTHOLIO <lb/>Medico, & Mathematicarum artium <lb/>Profe&longs;&longs;ore Regio.<emph.end type="italics"/><lb/>A D <lb/>HENRICVM IIII. GALLIÆ & NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;simum.</s><figure></figure>

<s>PARISIIS, <lb/>Apud <gap/>EMIAM PERIER via Iacobæa, &longs;ub &longs;igno Bellerophontis.</s>

<s>M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s><pb/><figure></figure>

<s>M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s><pb/><figure/>

<s>HENRICO IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>REGI CHRISTIANISSIMO. <lb/>S. P. D.</s>

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<s>Pari&longs;.</s><pb/><figure></figure>

<s>Pari&longs;.</s><pb/><figure/>

<s>PRAEFATIO IN <lb/>MECHANICA ARISTO<lb/>TELIS, AD LECTOREM.</s>

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<s><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.</s><pb/>

<s>INDEX MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs.<lb/><arrow.to.target n="table1"></arrow.to.target></s><table><table.target id="table1"></table.target><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/><foreign lang="greek">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia rotæ.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione tantùm<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid.<emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agriculturæ nece&longs;&longs;aria.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Ædes rotunda mirifica.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ædificium durabile rectà in&longs;i&longs;tit.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Æolus primus v&longs;us velis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Æquale e&longs;t cau&longs;a quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Æquilibrium in ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/lai</foreign> <emph type="italics"/>qui.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angubus æqualitatis, ideóque quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omniaæ <expan abbr="quit&longs;c&utilde;t">quit&longs;cunt</expan>.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemnæ motio.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is medÿ confert ad motum proiecti.<emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli-cium.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura & arte.<emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, & plantæ in&longs;i&longs;lunt plane terræ ad rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelairegis factum in edip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus data potentia mouere.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architectureæ tres partes.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us à Nonio.<emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, & ad alium &longs;co-pum vertit.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plenæ.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, & naturæ differentia.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, & &longs;ordi-das.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magnæ.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes.<emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonicæ.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co-chlea.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, & aues longo collo vident c&oelig;-lum, vt homo.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="greek">*au<gap/>/mata.</foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel conus inuer&longs;us.<emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia pondera.<emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tutò a&longs;cendunt, pericu-losè de&longs;cendunt.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="cãcellariæ">cancellariæ</expan> Apo-&longs;tolicæ regens con&longs;ecrat, & compreca-tur multa &longs;uper crucem apici obeli&longs;ci imponendam.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim atque crux impo&longs;ita fuit apici obe-li&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><pb/><row><cell><emph type="italics"/>Bouilli error, qui put abat rectam iuuen-tam equalem peripheriæ ex circuli &longs;uper planum reuolutione.<emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratr&utilde;">aratrum</expan> pariter &longs;ubiugandi.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Boüm in iugo imbecillior &longs;ubleuari po-te&longs;t.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um habent.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell></cell></row><row><cell><foreign lang="greek">*ka/<gap/>ar</foreign> <emph type="italics"/>in fund a quid &longs;it.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calliæ Rhodien&longs;is factum <expan abbr="mechanic&utilde;">mechanicum</expan>.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us à Scaligero.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;curè & imper&longs;ectè: inge-niosè tamen&longs;crip&longs;it.<emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo-dem tempore moti.<emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex.<emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, & &longs;imia e&longs;t ridicula ho-minis imitatio.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis manu.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="greek">a)ntixeir,</foreign> vt in manu hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem.<emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere, licet&longs;u operatio chirurgica.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author Dædalus.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principi&utilde;">principium</expan> omnium virium, quæ&longs;unt in machinis motricibus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabilißimus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, & pone mouetur &longs;imul.<emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet.<emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore circulo.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores.<emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="cõtingit">contingit</expan> <expan abbr="plan&utilde;">planum</expan> in vno <expan abbr="p&utilde;cto">puncto</expan>.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per æqualem orbitam reuoluitur & contra.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="cõcentrici">concentrici</expan> inæquales iuncti æqua-lem orbitam <expan abbr="percurr&utilde;t">percurrunt</expan>.<emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima & <gap/>pinquior remotiore maior.<emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem interius tangat de&longs;cribere.<emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>C&oelig;li motus unde.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>C&oelig;lum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Col&utilde;ba">Columba</expan> volans Acchitæ <expan abbr="nõ">non</expan> e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria quæ &longs;int verè.<emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam quie&longs;cens.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum & concauum non &longs;unt con-traria.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochleæ effecta.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochleæ Ari&longs;toteles non meminit.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel vnus cuneus continuatus.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium demon&longs;tratio linearis.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid.<emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us.<emph.end type="italics"/></cell><cell>127</cell></row><pb/><row><cell><emph type="italics"/>Cuneimagna vis.<emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magnæ moles diuiduntur.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Crocæ Ari&longs;toteliquid.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Crocæ rotundæ.<emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabilißima figurarum.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Dædali &longs;tatuæliberæ, & ligatæ.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid.<emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animali&utilde;">animalium</expan> inci&longs;orÿ &longs;unt cunei.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia à clauo in-fixo.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit crucem apici obeli&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, & Sphæræ in&longs;i&longs;tit plano ad rectos.<emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam quæratio.<emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;itæ crucis obeli&longs;co.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontanæ triumphus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra à &longs;undamentis &longs;ublata, & aliò tran&longs;lata.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="greek">*epipo/laia</foreign> <emph type="italics"/>vis quæ.<emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergatæ, & &longs;ucculæ di&longs;tinctio.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent.<emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua quæ.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit cæte-ras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="dec&utilde;bentis">decumbentis</expan> exirema.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corpor&utilde;iuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, & natura-les impetus.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu mediæ quæ.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, & forfex quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Spharæ.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Phænicuno.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fundæ v&longs;us.<emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fundæ cur Balearis.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius proÿcit, quam manus.<emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem & plumbum.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non lædit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur &longs;ine cyphorum fractione & aquæ effu-&longs;ione.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Georgij Lhullerÿ machina.<emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum & eius partes.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi & remi differentia.<emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne.<emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus breuiora habent.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Ha&longs;tæ ferrum e&longs;t cuneus.<emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u Geometriæ,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, & progre&longs;sio, vs fiat.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="nõ">non</expan> &longs;tatrectus, vt <expan abbr="cæl&utilde;">cælum</expan> videus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus.<emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex.<emph.end type="italics"/></cell><cell>194</cell></row><pb/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus & paruuus quis.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non æqualiter premuntur.<emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, & gnemones antecellunt.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;ic&utilde;">magni&longs;icum</expan>.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum & pronum commune e&longs;t multis anim antibus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata.<emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli.<emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore.<emph.end type="italics"/></cell><cell>27.44. 45</cell></row><row><cell><emph type="italics"/>Libræ finis.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libræpartes.<emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libræfallaciæ.<emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libræ valde exigua examinantis fabri-ca.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="põdere">pondere</expan> facilius mouetur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="maneãt">maneant</expan>, aut redeant ad <expan abbr="æquilibri&utilde;">æquilibrium</expan> &longs;ublatis <expan abbr="põderil^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligne&utilde;">ligneum</expan> facili^{9} mouetur ferreo.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="fcr&utilde;-tur">fcrun-tur</expan> bumere, quam à medio.<emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt è genu facilius <expan abbr="frãgatur">frangatur</expan>.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> duas lationes &longs;ertur.<emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Long&utilde;">Longum</expan> pondus difficilius fertur humero, <expan abbr="quã">quam</expan> brcue, vt &longs;it <expan abbr="põdere">pondere</expan> æquale.<emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum diametrum.<emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Machina quid.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum quædam per &longs;e, quædam-non per&longs;e mouentur.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machinæ valentißimæ tres ex &longs;ententia Hippocratis.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, & diuer&longs;arum compo&longs;itio adæquat vnam, quæ tanta, quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materiæ.<emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machinæ ad ædificia, & ad bellum.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna quæ.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="lõgius">longius</expan> <expan abbr="manubri&utilde;">manubrium</expan> graui^{9} ferit.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;t&utilde;">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;tor&utilde;">in&longs;trumentorum</expan>.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes.<emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano & <expan abbr="Frãci&longs;co">Franci&longs;co</expan> patricio.<emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta.<emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica quæ dici debeant.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid.<emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim mathematica.<emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanicæ artes vnde dictæ.<emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophiæ.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggreßionem operis quid con&longs;iderare debeat.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="greek">pa<gap/>adosopcioi\.</foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata.<emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit cæteras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum quò vergit facile moue-<emph.end type="italics"/><pb/><emph type="italics"/>tur.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur.<emph.end type="italics"/></cell><cell>104.</cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;æpe magnam vim obti-net.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, & &longs;ucceßiuè.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-min&utilde;">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>.<emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> <expan abbr="lineã">lineam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non habentibus <expan abbr="nõ">non</expan> fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili à quibus pen-deat.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchræ.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra à poëta.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus à Galeno.<emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, & eundem &longs;copum habet.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, & nauigationis pericula.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauigÿ Hieronis de&longs;criptio incredibi-lis.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, & partes.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaicæ magnitudo.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um.<emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuariæ promotio.<emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as à quibus.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula è plumbo tenui &longs;upernatat aquæ.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Nautæ in procellis &longs;olo vtuntur dolone.<emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces à nucifrangibulo &longs;ine ictu facilius franguntur, quam cum ictu.<emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifrãgibuli">Nucifrangibuli</expan> & forcipis di&longs;tinctio.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum.<emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid.<emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheriæ maior e&longs;t, quam minoris.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Obeli&longs;cus quid.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;c^{9} Xy&longs;tiqualis & <expan abbr="quãtus">quantus</expan>.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, & Christo &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem quinque, omnia difficillima.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum quæ ma-chinæ, & quot adhibitæ.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;c&utilde;">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, & à quibus perfectæ.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D. Fetri po&longs;iti Ichnographiæ.<emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co & Xy&longs;to V. Summ. Pont. & cruce Gulielmi Blanci <expan abbr="epigrãma">epigramma</expan>.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="greek">*odonta/g<gap/>a *h)\o)donta/gw_gos</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="greek">*odonta/gw_gos</foreign> <emph type="italics"/><expan abbr="pl&utilde;beus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum volæ manus impo&longs;itum frangitur manu illæ&longs;a.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="greek">*ou<gap/>ano/suopcs</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt cælum.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Palang a quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percußio quid.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußio à quibus fit maior.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußionis validiores cau&longs;æ.<emph.end type="italics"/></cell><cell>128.129</cell></row><pb/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum, findendum, frangendum, quatien-dum.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares à peripherÿs in &longs;emi-diametros circulorum inæqualium æquales auferunt &longs;egmenta &longs;emidia-metrorum inæqualia, quorum maius e&longs;t quod è minori aufertur.<emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheriæ maiores à punctis à centro remotioribus de&longs;cribuntur.<emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum difficilius mouentur.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangarÿ tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangÿ ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx.<emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri aëre pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non e&longs;&longs;et aunexum.<emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="greek">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>& canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, & p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Lutetiæ ab Henrico 111. inchoatus ab Henrico 1111. perficietur.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Preßio porrecta.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri.<emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progreßio in animali vt fit.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens à mo-tore e&longs;t can&longs;a eorum lationis.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur procul.<emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio & C. Lælius colligentes cro-cas quæ dicerent.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid.<emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad centrum, quam maior.<emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectilineæ figuræ, & cubus difficulter mouentur &longs;uper planum.<emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differentiæ.<emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maximè mouent na-uim.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis.<emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remig&utilde;">Remigum</expan> plus nauim promoueant.<emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum lateris motum duobus motibus minus &longs;paty conficit, quam latus ip&longs;um.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non æqualem <expan abbr="rectã">rectam</expan> tran&longs;it.<emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rotæ binæ quaternis faciliores.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus maiorese&longs;&longs;e debent.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rotæ curruum maiores commodiores ad facilitatem & celeritatem.<emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus.<emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rot&utilde;dorum">Rotundorum</expan> motus accurata diui&longs;io.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri parte poni debet.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt magna.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, & quotuplex.<emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytalæ v&longs;us duplex.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb/><emph type="italics"/>quam &longs;uper curribus.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non item.<emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum, & nequaquam in vnarecta.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentariæ artes vtuntur &longs;eßione &longs;ecu-ra.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Seßio propriè dista & latè<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Seßio cum &longs;ecuritate.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius.<emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="greek">*e*h/mwma</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sphæra quale corpus.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra corpus e&longs;t mobilißimum & mo-uentißimum.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra contingit planum in puncto.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sphæra Archimedis per &longs;e mobilis non e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sphæratopæia pars e&longs;t mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stateræ partes.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stateræ v&longs;us.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non v&longs;urpatur, &longs;ed libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult æ &longs;unt libræ.<emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us.<emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stateræ paruo æquipondio magna ponde-ra expendunt.<emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stateræ dimidium e&longs;t an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis factæ de-mon&longs;tratio.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terræ.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio & &longs;eßio propria <expan abbr="s&utilde;t">sunt</expan> homini.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="greek">*etata</foreign> <emph type="italics"/>quæ.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio è iacente indiget acutis angu-lis.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum ex femore cum tibia, tum ex thoræce & femore.<emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, & obtu&longs;os angulos.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam laxa.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis.<emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo à Pythagoreis, & Platone.<emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus.<emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="greek">*qanmatou<gap/>gim*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis à problemate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid.<emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us.<emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum.<emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos po&longs;tulant.<emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis.<emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed lentius trahunt.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochleæ duæ legitimè compofitæ magna pondera adducunt.<emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Vectis quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes.<emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex.<emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram.<emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machinæ multæ &longs;imul.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid.<emph.end type="italics"/></cell><cell>92</cell></row><pb/><row><cell><emph type="italics"/>Veli&longs;pecies.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us, obliquus.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio.<emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur.<emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aquæ e&longs;t linea &longs;piralis vnius, aut plurium reuolutionum.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo à nautis vitentar.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t & Loffoet.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt nautæ &longs;e impe-<gap/>gi&longs;&longs;e.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare à Vortice.<emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> quò feratur.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus &longs;uis varietatem.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell></cell></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell></cell></row><row><cell><foreign lang="greek">*zugo(s & *zugo\n.</foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="greek">*zugosa/ths.</foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides.<emph.end type="italics"/></cell><cell>45</cell></row></table>

<s>INDEX MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs.<lb/><arrow.to.target n="table1"/></s><table><table.target id="table1"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/><foreign lang="greek">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia rotæ.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione tantùm<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid.<emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agriculturæ nece&longs;&longs;aria.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Ædes rotunda mirifica.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ædificium durabile rectà in&longs;i&longs;tit.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Æolus primus v&longs;us velis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Æquale e&longs;t cau&longs;a quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Æquilibrium in ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/lai</foreign> <emph type="italics"/>qui.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angubus æqualitatis, ideóque quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omniaæ <expan abbr="quit&longs;c&utilde;t">quit&longs;cunt</expan>.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemnæ motio.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is medÿ confert ad motum proiecti.<emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli-cium.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura & arte.<emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, & plantæ in&longs;i&longs;lunt plane terræ ad rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelairegis factum in edip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus data potentia mouere.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architectureæ tres partes.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us à Nonio.<emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, & ad alium &longs;co-pum vertit.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plenæ.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, & naturæ differentia.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, & &longs;ordi-das.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magnæ.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes.<emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonicæ.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co-chlea.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, & aues longo collo vident c&oelig;-lum, vt homo.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="greek">*au<gap/>/mata.</foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel conus inuer&longs;us.<emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia pondera.<emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tutò a&longs;cendunt, pericu-losè de&longs;cendunt.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="cãcellariæ">cancellariæ</expan> Apo-&longs;tolicæ regens con&longs;ecrat, & compreca-tur multa &longs;uper crucem apici obeli&longs;ci imponendam.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim atque crux impo&longs;ita fuit apici obe-li&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><pb/><row><cell><emph type="italics"/>Bouilli error, qui put abat rectam iuuen-tam equalem peripheriæ ex circuli &longs;uper planum reuolutione.<emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratr&utilde;">aratrum</expan> pariter &longs;ubiugandi.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Boüm in iugo imbecillior &longs;ubleuari po-te&longs;t.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um habent.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*ka/<gap/>ar</foreign> <emph type="italics"/>in fund a quid &longs;it.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calliæ Rhodien&longs;is factum <expan abbr="mechanic&utilde;">mechanicum</expan>.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us à Scaligero.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;curè & imper&longs;ectè: inge-niosè tamen&longs;crip&longs;it.<emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo-dem tempore moti.<emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex.<emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, & &longs;imia e&longs;t ridicula ho-minis imitatio.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis manu.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="greek">a)ntixeir,</foreign> vt in manu hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem.<emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere, licet&longs;u operatio chirurgica.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author Dædalus.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principi&utilde;">principium</expan> omnium virium, quæ&longs;unt in machinis motricibus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabilißimus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, & pone mouetur &longs;imul.<emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet.<emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore circulo.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores.<emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="cõtingit">contingit</expan> <expan abbr="plan&utilde;">planum</expan> in vno <expan abbr="p&utilde;cto">puncto</expan>.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per æqualem orbitam reuoluitur & contra.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="cõcentrici">concentrici</expan> inæquales iuncti æqua-lem orbitam <expan abbr="percurr&utilde;t">percurrunt</expan>.<emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima & <gap/>pinquior remotiore maior.<emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem interius tangat de&longs;cribere.<emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>C&oelig;li motus unde.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>C&oelig;lum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Col&utilde;ba">Columba</expan> volans Acchitæ <expan abbr="nõ">non</expan> e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria quæ &longs;int verè.<emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam quie&longs;cens.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum & concauum non &longs;unt con-traria.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochleæ effecta.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochleæ Ari&longs;toteles non meminit.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel vnus cuneus continuatus.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium demon&longs;tratio linearis.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid.<emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us.<emph.end type="italics"/></cell><cell>127</cell></row><pb/><row><cell><emph type="italics"/>Cuneimagna vis.<emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magnæ moles diuiduntur.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Crocæ Ari&longs;toteliquid.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Crocæ rotundæ.<emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabilißima figurarum.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Dædali &longs;tatuæliberæ, & ligatæ.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid.<emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animali&utilde;">animalium</expan> inci&longs;orÿ &longs;unt cunei.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia à clauo in-fixo.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit crucem apici obeli&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, & Sphæræ in&longs;i&longs;tit plano ad rectos.<emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam quæratio.<emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;itæ crucis obeli&longs;co.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontanæ triumphus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra à &longs;undamentis &longs;ublata, & aliò tran&longs;lata.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="greek">*epipo/laia</foreign> <emph type="italics"/>vis quæ.<emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergatæ, & &longs;ucculæ di&longs;tinctio.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent.<emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua quæ.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit cæte-ras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="dec&utilde;bentis">decumbentis</expan> exirema.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corpor&utilde;iuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, & natura-les impetus.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu mediæ quæ.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, & forfex quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Spharæ.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Phænicuno.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fundæ v&longs;us.<emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fundæ cur Balearis.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius proÿcit, quam manus.<emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem & plumbum.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non lædit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur &longs;ine cyphorum fractione & aquæ effu-&longs;ione.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Georgij Lhullerÿ machina.<emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum & eius partes.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi & remi differentia.<emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne.<emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus breuiora habent.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ha&longs;tæ ferrum e&longs;t cuneus.<emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u Geometriæ,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, & progre&longs;sio, vs fiat.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="nõ">non</expan> &longs;tatrectus, vt <expan abbr="cæl&utilde;">cælum</expan> videus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus.<emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex.<emph.end type="italics"/></cell><cell>194</cell></row><pb/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus & paruuus quis.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non æqualiter premuntur.<emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, & gnemones antecellunt.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;ic&utilde;">magni&longs;icum</expan>.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum & pronum commune e&longs;t multis anim antibus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata.<emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli.<emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore.<emph.end type="italics"/></cell><cell>27.44. 45</cell></row><row><cell><emph type="italics"/>Libræ finis.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libræpartes.<emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libræfallaciæ.<emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libræ valde exigua examinantis fabri-ca.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="põdere">pondere</expan> facilius mouetur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="maneãt">maneant</expan>, aut redeant ad <expan abbr="æquilibri&utilde;">æquilibrium</expan> &longs;ublatis <expan abbr="põderil^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligne&utilde;">ligneum</expan> facili^{9} mouetur ferreo.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="fcr&utilde;-tur">fcrun-tur</expan> bumere, quam à medio.<emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt è genu facilius <expan abbr="frãgatur">frangatur</expan>.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> duas lationes &longs;ertur.<emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Long&utilde;">Longum</expan> pondus difficilius fertur humero, <expan abbr="quã">quam</expan> brcue, vt &longs;it <expan abbr="põdere">pondere</expan> æquale.<emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum diametrum.<emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Machina quid.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum quædam per &longs;e, quædam-non per&longs;e mouentur.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machinæ valentißimæ tres ex &longs;ententia Hippocratis.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, & diuer&longs;arum compo&longs;itio adæquat vnam, quæ tanta, quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materiæ.<emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machinæ ad ædificia, & ad bellum.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna quæ.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="lõgius">longius</expan> <expan abbr="manubri&utilde;">manubrium</expan> graui^{9} ferit.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;t&utilde;">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;tor&utilde;">in&longs;trumentorum</expan>.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes.<emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano & <expan abbr="Frãci&longs;co">Franci&longs;co</expan> patricio.<emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta.<emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica quæ dici debeant.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid.<emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim mathematica.<emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanicæ artes vnde dictæ.<emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophiæ.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggreßionem operis quid con&longs;iderare debeat.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="greek">pa<gap/>adosopcioi\.</foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata.<emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit cæteras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum quò vergit facile moue-<emph.end type="italics"/><pb/><emph type="italics"/>tur.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur.<emph.end type="italics"/></cell><cell>104.</cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;æpe magnam vim obti-net.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, & &longs;ucceßiuè.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-min&utilde;">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>.<emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> <expan abbr="lineã">lineam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non habentibus <expan abbr="nõ">non</expan> fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili à quibus pen-deat.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchræ.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra à poëta.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus à Galeno.<emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, & eundem &longs;copum habet.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, & nauigationis pericula.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauigÿ Hieronis de&longs;criptio incredibi-lis.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, & partes.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaicæ magnitudo.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um.<emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuariæ promotio.<emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as à quibus.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula è plumbo tenui &longs;upernatat aquæ.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Nautæ in procellis &longs;olo vtuntur dolone.<emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces à nucifrangibulo &longs;ine ictu facilius franguntur, quam cum ictu.<emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifrãgibuli">Nucifrangibuli</expan> & forcipis di&longs;tinctio.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum.<emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid.<emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheriæ maior e&longs;t, quam minoris.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Obeli&longs;cus quid.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;c^{9} Xy&longs;tiqualis & <expan abbr="quãtus">quantus</expan>.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, & Christo &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem quinque, omnia difficillima.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum quæ ma-chinæ, & quot adhibitæ.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;c&utilde;">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, & à quibus perfectæ.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D. Fetri po&longs;iti Ichnographiæ.<emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co & Xy&longs;to V. Summ. Pont. & cruce Gulielmi Blanci <expan abbr="epigrãma">epigramma</expan>.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="greek">*odonta/g<gap/>a *h)\o)donta/gw_gos</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="greek">*odonta/gw_gos</foreign> <emph type="italics"/><expan abbr="pl&utilde;beus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum volæ manus impo&longs;itum frangitur manu illæ&longs;a.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="greek">*ou<gap/>ano/suopcs</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt cælum.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Palang a quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percußio quid.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußio à quibus fit maior.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußionis validiores cau&longs;æ.<emph.end type="italics"/></cell><cell>128.129</cell></row><pb/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum, findendum, frangendum, quatien-dum.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares à peripherÿs in &longs;emi-diametros circulorum inæqualium æquales auferunt &longs;egmenta &longs;emidia-metrorum inæqualia, quorum maius e&longs;t quod è minori aufertur.<emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheriæ maiores à punctis à centro remotioribus de&longs;cribuntur.<emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum difficilius mouentur.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangarÿ tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangÿ ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx.<emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri aëre pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non e&longs;&longs;et aunexum.<emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="greek">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>& canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, & p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Lutetiæ ab Henrico 111. inchoatus ab Henrico 1111. perficietur.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Preßio porrecta.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri.<emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progreßio in animali vt fit.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens à mo-tore e&longs;t can&longs;a eorum lationis.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur procul.<emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio & C. Lælius colligentes cro-cas quæ dicerent.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid.<emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad centrum, quam maior.<emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectilineæ figuræ, & cubus difficulter mouentur &longs;uper planum.<emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differentiæ.<emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maximè mouent na-uim.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis.<emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remig&utilde;">Remigum</expan> plus nauim promoueant.<emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum lateris motum duobus motibus minus &longs;paty conficit, quam latus ip&longs;um.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non æqualem <expan abbr="rectã">rectam</expan> tran&longs;it.<emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rotæ binæ quaternis faciliores.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus maiorese&longs;&longs;e debent.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rotæ curruum maiores commodiores ad facilitatem & celeritatem.<emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus.<emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rot&utilde;dorum">Rotundorum</expan> motus accurata diui&longs;io.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri parte poni debet.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt magna.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, & quotuplex.<emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytalæ v&longs;us duplex.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb/><emph type="italics"/>quam &longs;uper curribus.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non item.<emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum, & nequaquam in vnarecta.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentariæ artes vtuntur &longs;eßione &longs;ecu-ra.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Seßio propriè dista & latè<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Seßio cum &longs;ecuritate.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius.<emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="greek">*e*h/mwma</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sphæra quale corpus.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra corpus e&longs;t mobilißimum & mo-uentißimum.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra contingit planum in puncto.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sphæra Archimedis per &longs;e mobilis non e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sphæratopæia pars e&longs;t mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stateræ partes.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stateræ v&longs;us.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non v&longs;urpatur, &longs;ed libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult æ &longs;unt libræ.<emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us.<emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stateræ paruo æquipondio magna ponde-ra expendunt.<emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stateræ dimidium e&longs;t an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis factæ de-mon&longs;tratio.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terræ.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio & &longs;eßio propria <expan abbr="s&utilde;t">sunt</expan> homini.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="greek">*etata</foreign> <emph type="italics"/>quæ.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio è iacente indiget acutis angu-lis.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum ex femore cum tibia, tum ex thoræce & femore.<emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, & obtu&longs;os angulos.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam laxa.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis.<emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo à Pythagoreis, & Platone.<emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus.<emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="greek">*qanmatou<gap/>gim*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis à problemate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid.<emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us.<emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum.<emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos po&longs;tulant.<emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis.<emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed lentius trahunt.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochleæ duæ legitimè compofitæ magna pondera adducunt.<emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Vectis quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes.<emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex.<emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram.<emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machinæ multæ &longs;imul.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid.<emph.end type="italics"/></cell><cell>92</cell></row><pb/><row><cell><emph type="italics"/>Veli&longs;pecies.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us, obliquus.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio.<emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur.<emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aquæ e&longs;t linea &longs;piralis vnius, aut plurium reuolutionum.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo à nautis vitentar.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t & Loffoet.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt nautæ &longs;e impe-<gap/>gi&longs;&longs;e.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare à Vortice.<emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> quò feratur.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus &longs;uis varietatem.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*zugo(s & *zugo\n.</foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="greek">*zugosa/ths.</foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides.<emph.end type="italics"/></cell><cell>45</cell></row></table>

<s>FINIS.</s><pb pagenum="1"/><figure></figure>

<s>FINIS.</s><pb pagenum="1"/><figure/>

<s><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u<gap/></foreign><lb/>MHX ANIKA. <lb/>ARISTOTELIS <lb/>MECHANICA.</s>

<s><margin.target id="marg1"></margin.target>Pro <foreign lang="greek">mhxanh\,</foreign><lb/>lege <foreign lang="greek">mhxani<lb/>kh/.</foreign></s>

<s><margin.target id="marg1"/>Pro <foreign lang="greek">mhxanh\,</foreign><lb/>lege <foreign lang="greek">mhxani<lb/>kh/.</foreign></s>

<s><foreign lang="greek">Ti<gap/>st mhxanh\, kai_\ w<gap/>i\ ku/klou, <gap/> c)n toi_s mhxanikoi_s <lb/><gap/>ow masi/wn ai)ti/an e)/xontos.</foreign></s>

Line 511

Line 512

<s>COMMENTARIVS.</s>

<s><emph type="italics"/>Cardanvs librum hunc Ari&longs;totelis peripate-<emph.end type="italics"/><lb/><arrow.to.target n="marg2"></arrow.to.target><lb/><emph type="italics"/>ticorum principis e&longs;&longs;e non arbitratur, propter man<lb/>cam, & paulo negligentiorem motuum rotundo<lb/>rum in eo po&longs;itam diui&longs;ionem. </s>

<s><emph type="italics"/>Cardanvs librum hunc Ari&longs;totelis peripate-<emph.end type="italics"/><lb/><arrow.to.target n="marg2"/><lb/><emph type="italics"/>ticorum principis e&longs;&longs;e non arbitratur, propter man<lb/>cam, & paulo negligentiorem motuum rotundo<lb/>rum in eo po&longs;itam diui&longs;ionem. </s>

<s>Franci&longs;cus Patri-<emph.end type="italics"/><lb/><arrow.to.target n="marg3"></arrow.to.target><lb/><emph type="italics"/>cius vbi in omnes Ari&longs;totelis libros diligenter in<lb/>quirit, ab eorum numero exclu&longs;it, cau&longs;am tamen attulit nullam, ni&longs;i <lb/>quod multi libri magnorum virorum nomine circumferantur, quo<lb/>rum ip&longs;i authores non &longs;unt. </s>

<s>Franci&longs;cus Patri-<emph.end type="italics"/><lb/><arrow.to.target n="marg3"/><lb/><emph type="italics"/>cius vbi in omnes Ari&longs;totelis libros diligenter in<lb/>quirit, ab eorum numero exclu&longs;it, cau&longs;am tamen attulit nullam, ni&longs;i <lb/>quod multi libri magnorum virorum nomine circumferantur, quo<lb/>rum ip&longs;i authores non &longs;unt. </s>

<s>quod licet verum e&longs;&longs;e multis rationibus,<emph.end type="italics"/><pb pagenum="2"/><emph type="italics"/>testimoniis, & exemplis coufirmarit: ob id tamen hunc Ari&longs;toteli <lb/>detrahendum e&longs;&longs;e, non e&longs;t nece&longs;&longs;e. </s>

Line 537

Line 538

<s>Quare hunc <lb/>librum Ari&longs;totelis e&longs;&longs;e putabimus, quou&longs;que exoriatur aliquis, qui <lb/>vel hunc &longs;ibi vendicare, vel alÿ tribuere, potiori iure poßit.<emph.end type="italics"/></s>

<s><margin.target id="marg2"></margin.target>Lib.

<s><margin.target id="marg2"/>Lib.

de pro<lb/>port.</s>

<s><margin.target id="marg3"></margin.target>Tom.I.li.3. <lb/>Di&longs;cu&longs;&longs;io<lb/>num pori<lb/>patctic.</s>

<s><margin.target id="marg3"/>Tom.I.li.3. <lb/>Di&longs;cu&longs;&longs;io<lb/>num pori<lb/>patctic.</s>

<s>Mechanica] <emph type="italics"/>Huius libri duæ &longs;unt partes. </s>

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<s>At ÿ melius <lb/>meo iudicio feci&longs;&longs;ent, &longs;i eas, quæ ita corporis adminiculo exercen<lb/>tur, vt animi &longs;tudium non multum requirant, cum Græcis appel<lb/>la&longs;&longs;ent, non<emph.end type="italics"/> <foreign lang="greek">mhxanika\s,</foreign> <emph type="italics"/>(neque enim hîc id vocabuli v&longs;urpant) <lb/>&longs;ed<emph.end type="italics"/> <foreign lang="greek">fau/las, a)neleuqirous <gap/>anow/oous a)<gap/>ai/ous</foreign> <emph type="italics"/>viles, illiberales, <lb/>&longs;ordidas, circunforaneas. </s>

<s>Melius e&longs;t ergo rem i&longs;tam paulo altius re-<emph.end type="italics"/><lb/><arrow.to.target n="marg4"></arrow.to.target><lb/><emph type="italics"/>petitam aliquantum vltra per &longs;uas &longs;pecies deducere. </s>

<s>Melius e&longs;t ergo rem i&longs;tam paulo altius re-<emph.end type="italics"/><lb/><arrow.to.target n="marg4"/><lb/><emph type="italics"/>petitam aliquantum vltra per &longs;uas &longs;pecies deducere. </s>

<s>Cum omnis ars, <lb/>vt e&longs;t apud Ari&longs;totelem, referatur ad bonum, nulla per &longs;e vilis cen<lb/>&longs;eridebt, immo omnis po&longs;&longs;e&longs;&longs;orem &longs;uum vel meliorem vel vtilio<lb/>rem &longs;ibi, vel &longs;uæ ciuitati reddit: at inter &longs;e comparatæ aliæ al<gap/>is præ<lb/>&longs;tantiores existimatæ &longs;unt. </s>

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<s>quæ his duobus ver&longs;ibus <lb/>exprimuntur.<emph.end type="italics"/></s>

<s>Ethic.</s>

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<s>F&oelig;lix, qui potuit rerum cogno&longs;cere cau&longs;as.</s>

<s><emph type="italics"/>Ab hac admirandi facultate Ari&longs;toteles <expan abbr="principi&utilde;">principium</expan> Philo&longs;ophiæ re-<emph.end type="italics"/><lb/><arrow.to.target n="marg5"></arrow.to.target><lb/><emph type="italics"/>petÿt. </s>

<s>Qui enim, inquit, admiratur, putat &longs;e ignorare, & <expan abbr="dubitãs">dubitans</expan> co<lb/>natur dubitationibus &longs;uis &longs;uccurrere. </s>

<s>Homo natura fugiens e&longs;t igno<lb/>rantiæ. </s>

<s><expan abbr="Itaq;">Itaque</expan> primò è dubitatis faciliora inqui &longs;iuit, deinde paulatim <lb/>vlterius procedens <expan abbr="etiã">etiam</expan> maiora, vt de affectionibus Lunæ, & ÿs quæ <lb/>circa Solem & &longs;tellas fiunt, ac de generatione vniuer &longs;i: atque &longs;ic <lb/>Philo&longs;ophia orta e&longs;t, &longs;icque Philo&longs;ophus non &longs;olum rara & ingen<lb/>tia, vt vulgus, &longs;ed etiam frequentia & exigua, &longs;i cau&longs;as latentes ha<lb/>beant, admiratur, & quidem cum voluptate: in quo etiam di&longs;&longs;entit à <lb/>vulgò, qui quæ admiratur, &longs;æpe horret, vt Eclip&longs;es Solis & Lunæ,<emph.end type="italics"/><lb/><arrow.to.target n="marg6"></arrow.to.target><lb/><emph type="italics"/>quod de Archelao rege Seneca memorat rerum naturæ adeò ignaro, <lb/>vt quo die Solis defectio fuit, regiam clau&longs;erit, & filium, quod in <lb/>luctu à rebus aduer&longs;is moris e&longs;t, totunderit. </s>

<s><expan abbr="Itaq;">Itaque</expan> primò è dubitatis faciliora inqui &longs;iuit, deinde paulatim <lb/>vlterius procedens <expan abbr="etiã">etiam</expan> maiora, vt de affectionibus Lunæ, & ÿs quæ <lb/>circa Solem & &longs;tellas fiunt, ac de generatione vniuer &longs;i: atque &longs;ic <lb/>Philo&longs;ophia orta e&longs;t, &longs;icque Philo&longs;ophus non &longs;olum rara & ingen<lb/>tia, vt vulgus, &longs;ed etiam frequentia & exigua, &longs;i cau&longs;as latentes ha<lb/>beant, admiratur, & quidem cum voluptate: in quo etiam di&longs;&longs;entit à <lb/>vulgò, qui quæ admiratur, &longs;æpe horret, vt Eclip&longs;es Solis & Lunæ,<emph.end type="italics"/><lb/><arrow.to.target n="marg6"/><lb/><emph type="italics"/>quod de Archelao rege Seneca memorat rerum naturæ adeò ignaro, <lb/>vt quo die Solis defectio fuit, regiam clau&longs;erit, & filium, quod in <lb/>luctu à rebus aduer&longs;is moris e&longs;t, totunderit. </s>

<s>quam contra Thales <lb/>rerum naturæ gnarus in aperto fixis in peluim oculis magna cum <lb/>animi lætitia intuitus e&longs;&longs;et.<emph.end type="italics"/></s>

<s><margin.target id="marg5"></margin.target>Cap.

<s><margin.target id="marg5"/>Cap.

2. lib.

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2. <lb/>Metaph.</s>

<s><margin.target id="marg6"></margin.target>Cap.

<s><margin.target id="marg6"/>Cap.

6. lib.

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<s>Illud inuentum, modú&longs;ve inuenicndi <lb/>generalis e&longs;t. </s>

<s>hîc particulariter ad <expan abbr="machinã">machinam</expan> <expan abbr="in&longs;trumentáq;">in&longs;trumentáque</expan> refertur, <lb/>quibus <expan abbr="oner&utilde;">onerum</expan> motiones fiant opportunæ, per motiones intellige, quæ <lb/>fiunt à loco ad locum, vt impul&longs;iones, tractiones, volutationes, ve<lb/>ctiones, & in locis altis, medÿs, imis pro v&longs;u & decoro repo&longs;itiones: <lb/>per onera, quicquid aliò quam quò naturaliter vergit, impellitur, vt <lb/>aërem, cum deor&longs;um de&longs;cendere cogitur, vt aquam, vt terram cum <lb/>&longs;ur&longs;um a&longs;cendere, & eiu&longs;modi, quæ vulgus cum admiratione &longs;u&longs;pi<lb/>cit, & ni&longs;i fierent, nulla res no&longs;tra non e&longs;&longs;et impedita Atque &longs;ic ra<lb/>tio hominis nece&longs;sitate v&longs;us, & vtilitatis &longs;uæ pre&longs;&longs;a, efficiens cau&longs;a<emph.end type="italics"/><pb pagenum="8"/><emph type="italics"/>Mechanices hic &longs;tatuitur: vt e&longs;t etiam &longs;tatuta à Vitruuio &longs;ed & per<emph.end type="italics"/><lb/><arrow.to.target n="marg7"></arrow.to.target><lb/><emph type="italics"/>imitationem rerum à natura procreatarum. </s>

<s>hîc particulariter ad <expan abbr="machinã">machinam</expan> <expan abbr="in&longs;trumentáq;">in&longs;trumentáque</expan> refertur, <lb/>quibus <expan abbr="oner&utilde;">onerum</expan> motiones fiant opportunæ, per motiones intellige, quæ <lb/>fiunt à loco ad locum, vt impul&longs;iones, tractiones, volutationes, ve<lb/>ctiones, & in locis altis, medÿs, imis pro v&longs;u & decoro repo&longs;itiones: <lb/>per onera, quicquid aliò quam quò naturaliter vergit, impellitur, vt <lb/>aërem, cum deor&longs;um de&longs;cendere cogitur, vt aquam, vt terram cum <lb/>&longs;ur&longs;um a&longs;cendere, & eiu&longs;modi, quæ vulgus cum admiratione &longs;u&longs;pi<lb/>cit, & ni&longs;i fierent, nulla res no&longs;tra non e&longs;&longs;et impedita Atque &longs;ic ra<lb/>tio hominis nece&longs;sitate v&longs;us, & vtilitatis &longs;uæ pre&longs;&longs;a, efficiens cau&longs;a<emph.end type="italics"/><pb pagenum="8"/><emph type="italics"/>Mechanices hic &longs;tatuitur: vt e&longs;t etiam &longs;tatuta à Vitruuio &longs;ed & per<emph.end type="italics"/><lb/><arrow.to.target n="marg7"/><lb/><emph type="italics"/>imitationem rerum à natura procreatarum. </s>

<s>Homo enim inquit, ani<lb/>maduertens Solis, Lunæ, & reliquorum planetarum continentes <lb/>motus, & machinationes naturales, &longs;ine quibus non habui&longs;&longs;et in <lb/>terra lucem, & fructuum maturit ates hinc exempla &longs;ump &longs;it, & ea <lb/>imitans, inductus rebus diuinis, commodas vitæ perfecit explicatio<lb/>nes. </s>

<s>Itaque comparauit, vt e&longs;&longs;ent expeditiora alia machinis, & ea<lb/>rum ver&longs;ationibus: alia organis, quæque ob&longs;eruauit ad v&longs;um vtilia <lb/>e&longs;&longs;e &longs;tudÿs, artibus, in&longs;titutis, doctrinis gradatim augenda curauit: <lb/>hinc tandem extat ars quædam generalis quæ difficultati faciendo<lb/>rum præter naturam ad vtiltiatem hominum &longs;uccurrit.<emph.end type="italics"/></s>

<s>Tum difficultas.] <emph type="italics"/>Naturæ renixus difficultatem facit. </s>

<s>Re<lb/>nititur autem Natura &longs;ub&longs;tantia, numero, magnitudine, pondere, <lb/>figura, quæ omnia ars <expan abbr="immutãdo">immutando</expan>, addendo, detrahendo, <expan abbr="trã&longs;ponendo">tran&longs;ponendo</expan>, <lb/>poliendo, figurando corrigit, & ad v&longs;us humanos accommodat.<emph.end type="italics"/></s>

<s><margin.target id="marg8"></margin.target><foreign lang="greek"><gap/>xanik<gap/>.</foreign></s>

<s><margin.target id="marg8"/><foreign lang="greek"><gap/>xanik<gap/>.</foreign></s>

<s>Atque propterea partem <lb/>illius artis quæ hæ&longs;itationi <lb/>i&longs;ti &longs;uccurrit Mechanicem <lb/>vocamus. </s>

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<s>Hæc quidem comprehendi Architecturæ nomine Galenus<emph.end type="italics"/></s>

<s><arrow.to.target n="marg9"></arrow.to.target><lb/><emph type="italics"/>etiam te&longs;tatus e&longs;t, nomine inquit, artis Architectorum intelligi volo <lb/>Horologiorum, Clep&longs;ydrarum, Hydrocopiarum, Machinamento<lb/>rumque omnium de&longs;criptiones, quibus etiam, quæ &longs;pirabilia vocant, <lb/>continentur. </s>

<s><arrow.to.target n="marg9"/><lb/><emph type="italics"/>etiam te&longs;tatus e&longs;t, nomine inquit, artis Architectorum intelligi volo <lb/>Horologiorum, Clep&longs;ydrarum, Hydrocopiarum, Machinamento<lb/>rumque omnium de&longs;criptiones, quibus etiam, quæ &longs;pirabilia vocant, <lb/>continentur. </s>

<s>Sed cum in his quæ Architecturæ &longs;ubiecta &longs;unt &longs;olis <lb/>naturæ renixus non vincatur: <expan abbr="ver&utilde;">verum</expan> etiam in quibuslibet aliis cuiu&longs;<lb/>cunque artis &longs;ubiectis, &longs;i qua &longs;it ars, quæ in vniuer&longs;um id doceat, <lb/>multo generalior e&longs;t Architectura. </s>

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<s>quorum <lb/>omnium rationes & virium gradus in hac Mechanica tanquam <lb/>generali explicantur, vt po&longs;tea cuique facile apparebit.<emph.end type="italics"/></s>

<s><margin.target id="marg9"></margin.target>Cap.

<s><margin.target id="marg9"/>Cap.

3. lib. <lb/>

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<s>Definitur au<lb/>tem &longs;ic à Picolomino. </s>

<s>Mechanice e&longs;t &longs;cientia ex qua cau&longs;æ & prin-<emph.end type="italics"/><lb/><arrow.to.target n="marg10"></arrow.to.target><lb/><emph type="italics"/>cipia ad quamplurimas artes &longs;ellularias exhauriri po&longs;&longs;unt. </s>

<s>Mechanice e&longs;t &longs;cientia ex qua cau&longs;æ & prin-<emph.end type="italics"/><lb/><arrow.to.target n="marg10"/><lb/><emph type="italics"/>cipia ad quamplurimas artes &longs;ellularias exhauriri po&longs;&longs;unt. </s>

<s>Nos peni<lb/>tius ip&longs;ius rei, quæ definitur naturam, & ad ea quæ cum dicta &longs;unt <lb/>ab Aristotele, quæque dicentur intuentes perfectiùs opinor, &longs;ic de<lb/>finiemus. </s>

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<s>Quippè quæ à quibu&longs;cumque artificibus citò fieri <lb/>queant, erectu interim, <expan abbr="trãslatúque">translatúque</expan> facilia: in &longs;idiatu, fractuque dif<lb/>&longs;icilia: &longs;tabilia, ac tandem eiu&longs;modi &longs;int, vt quatenus neceßitas<emph.end type="italics"/><pb pagenum="11"/><emph type="italics"/>po&longs;tulauerit, facile componi, faciléque di&longs;&longs;olui poßint. </s>

<s>Sed neque hic <lb/>prætermittenda diui&longs;io Methanices, quæ aliter à Politiano ex He-<emph.end type="italics"/><lb/><arrow.to.target n="marg11"></arrow.to.target><lb/><emph type="italics"/>rone inducta e&longs;t. </s>

<s>Sed neque hic <lb/>prætermittenda diui&longs;io Methanices, quæ aliter à Politiano ex He-<emph.end type="italics"/><lb/><arrow.to.target n="marg11"/><lb/><emph type="italics"/>rone inducta e&longs;t. </s>

<s>Mechanices, inquit, altera pars rationalis e&longs;t, quæ <lb/>numerorum, men&longs;urarum, &longs;yderum, naturæ que rationibus perfici<lb/>tur: altera<emph.end type="italics"/> <foreign lang="greek">xeipourgikh\,</foreign> <emph type="italics"/>cui vel maximè artes illæ, æraria, ædifica<lb/>toria, materiaria, picturaque, adminiculantur. </s>

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<s>Suppeditat eadem Architecturæ quoque &longs;can&longs;orias, tra<lb/>ctiles, & &longs;pirituales machinas.<emph.end type="italics"/></s>

<s><margin.target id="marg10"></margin.target>In parapha<lb/>&longs;i huius li<lb/>bri.</s>

<s><margin.target id="marg10"/>In parapha<lb/>&longs;i huius li<lb/>bri.</s>

<s><margin.target id="marg11"></margin.target>In Pancpi<lb/>&longs;temone.</s>

<s><margin.target id="marg11"/>In Pancpi<lb/>&longs;temone.</s>

<s>Natura vincit.] <emph type="italics"/>Senariolus e&longs;t cuiu&longs;dam antiqui poëtæ nomine<emph.end type="italics"/><pb pagenum="12"/><emph type="italics"/>tenus in hominum memoria &longs;uper&longs;titis: ni&longs;i &longs;it is, de quo Ari&longs;toteles <lb/>in &longs;uis Rhetoricis meminit, lepidumque eius dictum ad &longs;ocios, qui<lb/>bu&longs;cum vna ducebatur in &longs;upplicium iu&longs;&longs;u Diony &longs;ij tyranni, reci<lb/>tat. </s>

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<s>De&longs;cribitur autem cum data recta finita, manente eius vno <lb/>extremorum, circummoluitur, quou&longs;que redeat ad locum vnde mo<lb/>ueri c&oelig;pit, id quod, vt &longs;ine errore fiat inuentus e&longs;t circinus à Talo <lb/>Dædali ex &longs;orore nepote, cuius forma & officium ab Ouidio accom<lb/>modate huic loco, &longs;ic e&longs;t expre&longs;&longs;um,<emph.end type="italics"/></s>

<s>Ex vno duo ferrea brachia nodo <lb/>Iunxit, vt æquali &longs;patio di&longs;tanti<lb/><figure id="fig1"></figure><lb/>busip&longs;is</s>

<s>Ex vno duo ferrea brachia nodo <lb/>Iunxit, vt æquali &longs;patio di&longs;tanti<lb/><figure id="fig1"/><lb/>busip&longs;is</s>

<s>Altera pars &longs;taret, pars altera du<lb/>ceret orbem.</s>

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<s>vbinota Ari&longs;totelem dixi&longs;&longs;e hæe<emph.end type="italics"/> <foreign lang="greek">en)an<gap/>ia w_<gap/>s</foreign> <emph type="italics"/>contraria quodam<lb/>modo. </s>

<s>Nec enim vere contraria &longs;unt, quia vere contraria &longs;untea, <lb/>quæ &longs;ecundum &longs;eip&longs;a &longs;umpta, ex &longs;eip&longs;is extreme di&longs;tant, & vnde &longs;e <lb/>expellere nata &longs;int, habent: at hæc conuexum & concauum non &longs;ic <lb/>extreme di&longs;tant: &longs;ed ratione &longs;itus partium in diuer&longs;is locorum diffe<lb/>rentÿs, quod &longs;cilicet aliæ alÿs &longs;int al-<emph.end type="italics"/><lb/><figure id="fig2"></figure><lb/><emph type="italics"/>tiores, vel depreßiores. </s>

<s>Nec enim vere contraria &longs;unt, quia vere contraria &longs;untea, <lb/>quæ &longs;ecundum &longs;eip&longs;a &longs;umpta, ex &longs;eip&longs;is extreme di&longs;tant, & vnde &longs;e <lb/>expellere nata &longs;int, habent: at hæc conuexum & concauum non &longs;ic <lb/>extreme di&longs;tant: &longs;ed ratione &longs;itus partium in diuer&longs;is locorum diffe<lb/>rentÿs, quod &longs;cilicet aliæ alÿs &longs;int al-<emph.end type="italics"/><lb/><figure id="fig2"/><lb/><emph type="italics"/>tiores, vel depreßiores. </s>

<s>Cum enim re<lb/>ctum &longs;it id in lineis quod ex æquo iacet <lb/>inter &longs;ua extrema def. </s>

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<s>Quia igitur in his &longs;unt antè & ponè, <lb/>mouebitur antè & ponè: quia in&longs;uper &longs;unt &longs;ur&longs;um & deor&longs;um, <lb/>mouebitur etiam &longs;imul &longs;ur&longs;um & deor&longs;um.<emph.end type="italics"/></s>

<s><emph type="italics"/>Centrum enim in plano circundatur quatuor loci differentÿs, <lb/>propter duas quæ in ip&longs;o ad rectos &longs;e &longs;ecant dimen&longs;iones, vt in circu<lb/>lo B C D E, e&longs;to linea fabricans ip&longs;um A B, ibique e&longs;to ante <lb/>B. igitur cum erit in D, erit ponè: & cum in C, &longs;ur&longs;um: & <lb/>in E, deor&longs;um, & perueniens ad A B, eidem loco re&longs;tituetur, <lb/>à quo c&oelig;perat moueri, quod e&longs;t vltimum<emph.end type="italics"/><lb/><figure id="fig3"></figure><lb/><emph type="italics"/>fieri primum. </s>

<s>Vnde cum circulu<gap/>oue<lb/>tur, pote&longs;t dici ire, & reuerti &longs;imul: &longs;ic <lb/>cum &longs;phæricum corpus mouetur, in fine <lb/>&longs;emper, & principio motus &longs;ui, etiam tum <lb/>ire, tum reuerti veri&longs;imiliter dicetur.<emph.end type="italics"/></s>

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<s>Dico periphe<lb/>riam A B C maiorem peripheria D F G. </s>

<s>Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul.<emph.end type="italics"/><lb/><figure id="fig4"></figure><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>& D G diame<lb/>ter. </s>

<s>Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul.<emph.end type="italics"/><lb/><figure id="fig4"/><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>& D G diame<lb/>ter. </s>

<s>Quia igi<lb/>tur vt diameter <lb/>A C ad <expan abbr="&longs;uã">&longs;uam</expan> <expan abbr="pe-ripheriã">pe<lb/>ripheriam</expan> A B C: <lb/>ita & D G diameter ad &longs;uam peripheriam D F G, per ea quæ <lb/>demon&longs;trata &longs;unt ab Archimede prop.

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<s>Qvod autem circulus.] <emph type="italics"/>Tertia repugnantia in vnius cir<lb/>culi contrarÿs motionibus ante po&longs;ita amplius declaratur, ab <lb/>exemplo plurium: &longs;ed contiguorum ab vnica vi primaria &longs;ecundum <lb/>motus contrarios motorum. </s>

<s>Vt &longs;unto tres circuli contingentes quod<lb/>que ferè fit denticulis pectinis in&longs;tar &longs;e&longs;e &longs;ubingredientibus in peri<lb/>phcria præditi, quorum primus A B, moueatur antror&longs;um, &longs;eu&longs;e<lb/>cundum &longs;uperiorem peripheriam, vt A feratur ver&longs;us C: alter<emph.end type="italics"/><pb pagenum="25"/><emph type="italics"/>G D ad illius motum nece&longs;&longs;ario mouebitur propter denticulos, &longs;ed <lb/><expan abbr="retrors&utilde;">retrorsum</expan><emph.end type="italics"/><lb/><figure id="fig5"></figure><lb/><emph type="italics"/>&longs;eu <expan abbr="&longs;ec&utilde;-dum">&longs;ecun<lb/>dum</expan> <expan abbr="in-ferior&etilde;">in<lb/>feriorem</expan> <lb/><expan abbr="periphe-riã">periphe<lb/>riam</expan>, vt <lb/>G ad B: <lb/>tum ter<lb/>tius E Z ad &longs;ecundi motum mouebitur etiam, &longs;ed antror&longs;um, vt E <lb/>ad F, & &longs;int deinceps alternatim infiniti denticulis &longs;e&longs;e &longs;ubinui<lb/>cem ingredientibus, &longs;emper mouebuntur. </s>

<s>Vt &longs;unto tres circuli contingentes quod<lb/>que ferè fit denticulis pectinis in&longs;tar &longs;e&longs;e &longs;ubingredientibus in peri<lb/>phcria præditi, quorum primus A B, moueatur antror&longs;um, &longs;eu&longs;e<lb/>cundum &longs;uperiorem peripheriam, vt A feratur ver&longs;us C: alter<emph.end type="italics"/><pb pagenum="25"/><emph type="italics"/>G D ad illius motum nece&longs;&longs;ario mouebitur propter denticulos, &longs;ed <lb/><expan abbr="retrors&utilde;">retrorsum</expan><emph.end type="italics"/><lb/><figure id="fig5"/><lb/><emph type="italics"/>&longs;eu <expan abbr="&longs;ec&utilde;-dum">&longs;ecun<lb/>dum</expan> <expan abbr="in-ferior&etilde;">in<lb/>feriorem</expan> <lb/><expan abbr="periphe-riã">periphe<lb/>riam</expan>, vt <lb/>G ad B: <lb/>tum ter<lb/>tius E Z ad &longs;ecundi motum mouebitur etiam, &longs;ed antror&longs;um, vt E <lb/>ad F, & &longs;int deinceps alternatim infiniti denticulis &longs;e&longs;e &longs;ubinui<lb/>cem ingredientibus, &longs;emper mouebuntur. </s>

<s>Vnde tunc à Fabro dato <lb/>principio motionis, vertebra vertebram continenter mouet, vltimá<lb/>que ab illis &longs;imulacrorum excita fit præteruectio, non aliter quans in <lb/>animalium genere à &longs;en&longs;u, vel intellectione motionum exorto prin<lb/>cipio intrin&longs;ecis commotis cau&longs;is, &longs;eque inuicem mouentibus, vt alij <lb/>po&longs;tmodum extrin&longs;ecus, cum partium ip&longs;arum, tum etiam vniuer&longs;i <lb/>corporis vi&longs;untur motus.<emph.end type="italics"/></s>

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<s>Herodotus hi&longs;toria &longs;ecunda videtur ex his aliqua<emph.end type="italics"/> <foreign lang="greek">neu<lb/>ro/dpasa</foreign> <emph type="italics"/>appella&longs;&longs;e: qua&longs;i diceremus, per funiculos tanquam neruos <lb/>circa rotulas inuolutos, varÿs motibus agitata. </s>

<s>Eiu&longs;modij erant adeò <lb/>celebratæ Dædali &longs;tatuæ, quæ inquit Plato ni&longs;i ligatæ aufugiebant,<emph.end type="italics"/><lb/><arrow.to.target n="marg12"></arrow.to.target><lb/><emph type="italics"/>& vago quodam &longs;inuo&longs;oque impetu ferebantur in fugam: ligaræ <lb/>vero permanebant, vnde illæ non magno pretio emebantur in&longs;tar <lb/>&longs;erui fugitiui: hæ contra magno. </s>

<s>Eiu&longs;modij erant adeò <lb/>celebratæ Dædali &longs;tatuæ, quæ inquit Plato ni&longs;i ligatæ aufugiebant,<emph.end type="italics"/><lb/><arrow.to.target n="marg12"/><lb/><emph type="italics"/>& vago quodam &longs;inuo&longs;oque impetu ferebantur in fugam: ligaræ <lb/>vero permanebant, vnde illæ non magno pretio emebantur in&longs;tar <lb/>&longs;erui fugitiui: hæ contra magno. </s>

<s>Erant enim præclara opera.<emph.end type="italics"/><pb pagenum="26"/><emph type="italics"/>Hodie etiam no&longs;tri artifices ex hac plurium rotularum mira in<lb/>ter &longs;e coniunctione, aliquoque ex &longs;e mobili vt animali, vento, fu<lb/>mo, aqua, lamina chalybea primum motum &longs;uppeditante commota<emph.end type="italics"/><lb/><foreign lang="greek">ao)to/ma<gap/>a</foreign> <emph type="italics"/>faciunt non &longs;olum admirabilia: &longs;ed etiam maximè vti<lb/>lia, qualia &longs;unt horologia veterum clep&longs;ydras, & gnomones &longs;ine luce <lb/>& &longs;erenitate inutiles, commoditate & perpetuitate longè &longs;uperan<lb/>tia, quibus hodie dies ciuilis in 24. partes, quas horas vocant, di<lb/>&longs;tribuitur. </s>

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<s>Hæc, & quæ imaguncularum ince&longs;&longs;um, &longs;altum, cho<lb/>reas repræ&longs;entant, faciunt, vt quæ de Architæ columba volatili, & <lb/>de Archimedis &longs;phæra ver&longs;atili memoriæ reliquit antiquitas, pre <lb/>fal&longs;is minime habeamus.<emph.end type="italics"/></s>

<s><margin.target id="marg12"></margin.target>In Menone</s>

<s><margin.target id="marg12"/>In Menone</s>

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2. lib.

6. de Phy&longs;. </s>

6. de Phy&longs;. auditu attulit, vt vtro longioris <lb/>radÿ celeritas accipi debeat, intelligatur.<emph.end type="italics"/></s>

<s>auditu attulit, vt vtro longioris <lb/>radÿ celeritas accipi debeat, intelligatur.<emph.end type="italics"/></s>

<s>Qui enim extra.] <emph type="italics"/>E duobus circulis concentricis, qui extra e&longs;t, <lb/>e&longs;t quoddam <expan abbr="tot&utilde;">totum</expan>, & internus e&longs;t externi vna pars. </s>

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<s>Propo&longs;itio confirmatur cum| &longs;equenti diagrammate. <lb/></s>

<s>E&longs;to rectangulum<emph.end type="italics"/> <foreign lang="greek">a b h g</foreign> <emph type="italics"/>com-<emph.end type="italics"/><lb/><figure id="fig6"></figure><lb/><emph type="italics"/>prehen&longs;um &longs;ub rectis<emph.end type="italics"/> <foreign lang="greek">a b, a g,</foreign><lb/><emph type="italics"/>quæ &longs;int inter &longs;e in ratione, quam <lb/>duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>habent. <lb/></s>

<s>E&longs;to rectangulum<emph.end type="italics"/> <foreign lang="greek">a b h g</foreign> <emph type="italics"/>com-<emph.end type="italics"/><lb/><figure id="fig6"/><lb/><emph type="italics"/>prehen&longs;um &longs;ub rectis<emph.end type="italics"/> <foreign lang="greek">a b, a g,</foreign><lb/><emph type="italics"/>quæ &longs;int inter &longs;e in ratione, quam <lb/>duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>habent. <lb/></s>

<s>Et intelligatur a latum ver&longs;us<emph.end type="italics"/><lb/><foreign lang="greek">b</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>& ver&longs;us<emph.end type="italics"/><lb/><foreign lang="greek">g</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="greek">e</foreign>: <emph type="italics"/>&longs;icque cum <lb/>lationum ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ratio &longs;it vt<emph.end type="italics"/><lb/><foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g,</foreign> <emph type="italics"/>ergo erit &<emph.end type="italics"/> <foreign lang="greek">a d</foreign><lb/><emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a e</foreign>: <emph type="italics"/>vt<emph.end type="italics"/> <foreign lang="greek">a <gap/></foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a y,</foreign> <emph type="italics"/>& rectrangulum minus<emph.end type="italics"/> <foreign lang="greek">a d z e</foreign> <emph type="italics"/>com<lb/>munem angulum<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>cum maiori<emph.end type="italics"/> <foreign lang="greek">a b h g</foreign> <emph type="italics"/>habens & &longs;imile erit <lb/>def. </s>

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<s>Nunc igitur ponatur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>extremum radij duabus lationibus <lb/>de&longs;cribere circulum non digrediens à recta producere rectam, quod <lb/>e&longs;t contra naturam circuli. </s>

<s>Non igitur duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ferun<lb/>tur in ratione<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g.</foreign> <emph type="italics"/>Sed hîc obiici pote&longs;t quod Sol motu pri<lb/>mi mobilis mouetur ab Oriente in Occidentem in 24. horis, & motu <lb/>proprio ab Occidente in Orientem in aliquo tempore quantum e&longs;t <lb/>quod re&longs;pondet æquatori coa&longs;cendenti cum 59'. 8". Eclypticæ. </s>

<s>Et &longs;ic <lb/>eius duæ lationes &longs;unt in ratione aliqua, nec tamen Sol fertur &longs;ecun<lb/>dum rectam &longs;ed <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> arcum Eclypticæ. </s>

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<s>COMMENTARIVS.</s>

<s>Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i excmpli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="fig7"></figure><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame<lb/>trum<emph.end type="italics"/> <foreign lang="greek">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, quæ erit diameter <lb/>figuræ à lateribus alterius rationis <lb/>con&longs;titutæ, vt e&longs;t in præ&longs;enti dia<lb/>grammate<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="greek">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i.<emph.end type="italics"/></s><pb pagenum="32"/>

<s>Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i excmpli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="fig7"/><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame<lb/>trum<emph.end type="italics"/> <foreign lang="greek">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, quæ erit diameter <lb/>figuræ à lateribus alterius rationis <lb/>con&longs;titutæ, vt e&longs;t in præ&longs;enti dia<lb/>grammate<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="greek">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i.<emph.end type="italics"/></s><pb pagenum="32"/>

<s>Si vero mobilis.] <emph type="italics"/>Conclu&longs;io e&longs;t confirmata reiterato propo&longs;i<lb/>tionis præcedentis pro&longs;yllogi&longs;mo, &longs;ic. </s>

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1. de C&oelig;lo) Quinetiam &longs;i &longs;ic. </s>

<s>Idem radius à diametro cir-<emph.end type="italics"/><lb/><figure id="fig8"></figure><lb/><emph type="italics"/>culi digrediens in tran&longs;itu ab vna &longs;emidia<lb/>metro ad alteram numquam con&longs;equeretur <lb/>cum &longs;itum, per quem ip&longs;i à centro perpen<lb/>dicularis e&longs;&longs;et. </s>

<s>Idem radius à diametro cir-<emph.end type="italics"/><lb/><figure id="fig8"/><lb/><emph type="italics"/>culi digrediens in tran&longs;itu ab vna &longs;emidia<lb/>metro ad alteram numquam con&longs;equeretur <lb/>cum &longs;itum, per quem ip&longs;i à centro perpen<lb/>dicularis e&longs;&longs;et. </s>

<s>Con&longs;equitur autem vt cum <lb/>e&longs;t in L<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>diagrammatis hic de&longs;cri<lb/>pti. </s>

<s>Non igitur vna latione tantum fer<lb/>tur: fertur ergo pluribus. </s>

<s>Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, & ab&longs;ce<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror-<emph.end type="italics"/><lb/><figure id="fig9"></figure><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage<lb/>tur longius, quam æqualitas di&longs;tantiæ vndi<lb/>que à centro &longs;eruandæ permittit, vt idem<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ver&longs;us L. </s>

<s>Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, & ab&longs;ce<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror-<emph.end type="italics"/><lb/><figure id="fig9"/><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage<lb/>tur longius, quam æqualitas di&longs;tantiæ vndi<lb/>que à centro &longs;eruandæ permittit, vt idem<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ver&longs;us L. </s>

<s>V traque autem hæc latio quanta &longs;it <lb/>men&longs;uraturlineisrectis, quarum altera in po&longs;te<lb/>riore diaorammate e&longs;t &longs;inus rectus<emph.end type="italics"/> <foreign lang="greek">g e,</foreign> <emph type="italics"/>altera <lb/>verò e&longs;t &longs;inus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b g.</foreign></s><pb pagenum="35"/>

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31. lib.

1. <lb/>quæ &longs;it<emph.end type="italics"/> <foreign lang="greek">q w.</foreign></s><figure></figure>

1. <lb/>quæ &longs;it<emph.end type="italics"/> <foreign lang="greek">q w.</foreign></s><figure/>

<s><emph type="italics"/>Rur&longs;us à puncto<emph.end type="italics"/> <foreign lang="greek">w</foreign> <emph type="italics"/>excitetur perpendicularis lineæ<emph.end type="italics"/> <foreign lang="greek">a b,</foreign> <emph type="italics"/>&longs;itque<emph.end type="italics"/><lb/><foreign lang="greek">w n</foreign>: <emph type="italics"/>& &longs;ic parallelogrammum erit<emph.end type="italics"/> <foreign lang="greek">w n z q</foreign> <emph type="italics"/>ex def. </s>

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<s>Perpendicula<lb/>res à peripheriis in &longs;emidiametros circulorum inæqualium æquales <lb/>&longs;egmenta auferunt de &longs;emidiametris inæqualia, & quidem maius in <lb/>minori comprehen&longs;um inter peripheriam & perpendicularem.<emph.end type="italics"/></s>

<s>Expo<lb/><figure id="fig10"></figure><lb/>&longs;itio.</s>

<s>Expo<lb/><figure id="fig10"/><lb/>&longs;itio.</s>

<s><emph type="italics"/>Sunto <lb/>duo cir <lb/>culi in<lb/>æqua<lb/>les A <lb/>B C ma <lb/>ior & <lb/>D E F <lb/>minor, perpendiculares &longs;int B K, E I & ablatæ A K, D I.<emph.end type="italics"/></s><pb pagenum="41"/>

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3. ducatur A k diameter. </s>

<s>De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centr&utilde;">centrum</expan><emph.end type="italics"/><lb/><figure id="fig11"></figure><lb/><emph type="italics"/>inter A & D, & interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. </s>

<s>De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centr&utilde;">centrum</expan><emph.end type="italics"/><lb/><figure id="fig11"/><lb/><emph type="italics"/>inter A & D, & interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. </s>

<s>Nam &longs;i <lb/>& &longs;ecet, vt in puncto H, ducta <lb/>H E. erit æqualis ip&longs;i E A def. <lb/></s>

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<s>Si igi<lb/>tur maius e&longs;t id quod <expan abbr="&longs;ec&utilde;-dum">&longs;ecun<lb/>dum</expan> <expan abbr="naturã">naturam</expan> in maiore cir<lb/>culo, & quod e&longs;t pr&ecedil;ter na<lb/>turam maius, vtique illuc <lb/>concidet vno modo, ita vt <lb/><foreign lang="greek">b</foreign> &longs;it latum per lineam <foreign lang="greek">b h.</foreign><lb/>eo in tempore quo <expan abbr="p&utilde;ctum">punctum</expan> <lb/><foreign lang="greek">x</foreign> [per <foreign lang="greek">x q</foreign>]. Ibi enim pun<lb/>cto <foreign lang="greek">b</foreign> &longs;ecundum <expan abbr="quid&etilde;">quidem</expan> na<lb/>turam e&longs;t recta <foreign lang="greek">k h,</foreign> ab <foreign lang="greek">h</foreign><lb/>enim e&longs;t ip&longs;a perpendicu<lb/>laris, præter naturam vero <lb/><foreign lang="greek">b k.</foreign> E&longs;t &longs;iquidem vt <foreign lang="greek">h k</foreign> ad <lb/><foreign lang="greek"><gap/> k</foreign>: &longs;ic <foreign lang="greek">q z</foreign> ad <foreign lang="greek">x z,</foreign> quod <lb/>erit manife&longs;tum, &longs;i à pun<lb/>ctis <foreign lang="greek">b, x</foreign> ad <foreign lang="greek">h, q</foreign> rectæ adiun<lb/>ctæ &longs;int. </s>

<s>Si vero minor vel <lb/>maior: quam <foreign lang="greek">h b</foreign> fuerit ea, <lb/>perquam <foreign lang="greek">b</foreign> motum e&longs;t, non <lb/>&longs;imiliter neque proportio<lb/>naliter in <expan abbr="vtri&longs;q;">vtri&longs;que</expan> erit, quod <lb/><arrow.to.target n="marg13"></arrow.to.target><lb/>&longs;ecundum naturam ad id <lb/>quod præter naturam. </s>

<s>Si vero minor vel <lb/>maior: quam <foreign lang="greek">h b</foreign> fuerit ea, <lb/>perquam <foreign lang="greek">b</foreign> motum e&longs;t, non <lb/>&longs;imiliter neque proportio<lb/>naliter in <expan abbr="vtri&longs;q;">vtri&longs;que</expan> erit, quod <lb/><arrow.to.target n="marg13"/><lb/>&longs;ecundum naturam ad id <lb/>quod præter naturam. </s>

<s>Ob <lb/><expan abbr="hãc">hanc</expan> igitur cau&longs;am ex dictis <lb/>manife&longs;tum, quod punctum à centro di&longs;tantius, vt ea<lb/>dem vi &longs;it motum, celerius fertur.</s>

<s><margin.target id="marg13"></margin.target>Vetba &longs;i<lb/>gnis inclu&longs;a <lb/>in <expan abbr="cõtextu">contextu</expan> <lb/>Gr&ecedil;co quia <lb/>redundant <lb/>non verti<lb/>mus.</s>

<s><margin.target id="marg13"/>Vetba &longs;i<lb/>gnis inclu&longs;a <lb/>in <expan abbr="cõtextu">contextu</expan> <lb/>Gr&ecedil;co quia <lb/>redundant <lb/>non verti<lb/>mus.</s>

<s>COMMENTARIVS.</s>

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<s>COMMENTARIVS.</s>

<s>Qvod vero propterea libræ.] <foreign lang="greek"><gap/>u<gap/>s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek"><gap/>u<gap/>n</foreign> <emph type="italics"/>præter iu<lb/>gum, remigum &longs;edes, & tran&longs;tra curruum & nauium &longs;ignifi<lb/>cat etiam libram & &longs;tateram, hinc illud Pythagoræ<emph.end type="italics"/> <foreign lang="greek">mh\zu<gap/>n u(per<lb/><gap/>a/inein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris & vt annotat Budæus<emph.end type="italics"/> <foreign lang="greek">zu<gap/>a/<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="põderibus">ponderibus</expan> præfecti ap<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena & examinata æquitate <lb/>à Zygo quod e&longs;t libra publice temperata & con&longs;tituta, vt quemad<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam.<emph.end type="italics"/><lb/><arrow.to.target n="marg14"></arrow.to.target><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>& pondus æquum voluntas eius.<emph.end type="italics"/></s>

<s>Qvod vero propterea libræ.] <foreign lang="greek"><gap/>u<gap/>s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek"><gap/>u<gap/>n</foreign> <emph type="italics"/>præter iu<lb/>gum, remigum &longs;edes, & tran&longs;tra curruum & nauium &longs;ignifi<lb/>cat etiam libram & &longs;tateram, hinc illud Pythagoræ<emph.end type="italics"/> <foreign lang="greek">mh\zu<gap/>n u(per<lb/><gap/>a/inein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris & vt annotat Budæus<emph.end type="italics"/> <foreign lang="greek">zu<gap/>a/<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="põderibus">ponderibus</expan> præfecti ap<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena & examinata æquitate <lb/>à Zygo quod e&longs;t libra publice temperata & con&longs;tituta, vt quemad<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam.<emph.end type="italics"/><lb/><arrow.to.target n="marg14"/><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>& pondus æquum voluntas eius.<emph.end type="italics"/></s>

<s><margin.target id="marg14"></margin.target>Initio <lb/>cap.

<s><margin.target id="marg14"/>Initio <lb/>cap.

11. <lb/>Prouerb.</s>

<s>Agina fit cen<lb/><figure id="fig12"></figure><lb/><expan abbr="tr&utilde;">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari<lb/>&longs;toteles <expan abbr="accõmodat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltimò <lb/><expan abbr="demon&longs;tratã">demon&longs;tratam</expan>. </s>

<s>Agina fit cen<lb/><figure id="fig12"/><lb/><expan abbr="tr&utilde;">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari<lb/>&longs;toteles <expan abbr="accõmodat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltimò <lb/><expan abbr="demon&longs;tratã">demon&longs;tratam</expan>. </s>

<s>Quod <lb/>vt intelligaturprius <lb/>in libra A D B C <lb/>H I partes notan<lb/>dæ &longs;unt. </s>

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<s>Vnde vnius grauitas <expan abbr="lõgitudinis">longitudinis</expan> al<lb/>terius rationem compen&longs;at. </s>

<s>Cardanus docuit libræ metallicæ fabri-<emph.end type="italics"/><lb/><arrow.to.target n="marg15"></arrow.to.target><lb/><emph type="italics"/>cam, quæ pro deunce exhibeat a&longs;&longs;em, licet vacua in&longs;ta videatur. </s>

<s>Cardanus docuit libræ metallicæ fabri-<emph.end type="italics"/><lb/><arrow.to.target n="marg15"/><lb/><emph type="italics"/>cam, quæ pro deunce exhibeat a&longs;&longs;em, licet vacua in&longs;ta videatur. </s>

<s>Hæc <lb/>autem à me hîc ita recitantur, non vt quis abutatur. </s>

<s>Abhominatio<emph.end type="italics"/><lb/><arrow.to.target n="marg16"></arrow.to.target><lb/><emph type="italics"/>enime&longs;t apud Deum, vt iterum ait &longs;apiens, pondus & pondus, & <lb/>&longs;tatera dolo&longs;a non e&longs;t bona: &longs;ed vt à callidis i&longs;tis mercatoribus &longs;ibi <lb/>præcaueat emptor. </s>

<s>Abhominatio<emph.end type="italics"/><lb/><arrow.to.target n="marg16"/><lb/><emph type="italics"/>enime&longs;t apud Deum, vt iterum ait &longs;apiens, pondus & pondus, & <lb/>&longs;tatera dolo&longs;a non e&longs;t bona: &longs;ed vt à callidis i&longs;tis mercatoribus &longs;ibi <lb/>præcaueat emptor. </s>

<s>Fraudem autem i&longs;tam deteget, &longs;i pondus & æqui<lb/>pondium tran&longs;mutentur de lance in lancem. </s>

<s>Quod enim ante æqui<lb/>ponderabat, tran&longs;latum in alteram lancem no <gap/>amplius æquiponde<lb/>rabit duplici de cau&longs;a, & quod æquipondium grauius &longs;it, & quod <lb/>librilis in parte maiore &longs;it.<emph.end type="italics"/></s>

<s><margin.target id="marg15"/>Lib. 1. de <lb/>&longs;ubt,</s>

<s>1. de <lb/>&longs;ubt,</s>

<s><margin.target id="marg16"></margin.target>Prouerb. </s>

<s><margin.target id="marg16"/>Prouerb. </s>

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<s>Purpuræ venditores.] <foreign lang="greek">a(lour<gap/>pw/lom</foreign> <emph type="italics"/>dicuntur quia<emph.end type="italics"/> <foreign lang="greek">a(/lour<lb/>gon</foreign> <emph type="italics"/>purpura e&longs;t<emph.end type="italics"/> <foreign lang="greek"><gap/>po\ tou_ a(/ls kai\ e)/r<gap/>n</foreign> <emph type="italics"/>à maris opere. </s>

<s>quia purpura è<emph.end type="italics"/><lb/><arrow.to.target n="marg17"></arrow.to.target><lb/><emph type="italics"/>concha marina colligitur. </s>

<s>quia purpura è<emph.end type="italics"/><lb/><arrow.to.target n="marg17"/><lb/><emph type="italics"/>concha marina colligitur. </s>

<s>E&longs;t <expan abbr="aut&etilde;">autem</expan>, vt author e&longs;t Plinius, ille magni<emph.end type="italics"/><pb pagenum="48"/><emph type="italics"/>pretÿ flos tingendis regum ve&longs;tibus expetitus. </s>

<s>Hunc in medÿs fau<lb/>cibus conchæ gerunt, candida quadam vena conclu&longs;um colore ni<lb/>gricantis ro&longs;æ pellucidum.<emph.end type="italics"/></s>

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<s>Quæ vt intelligantur &longs;cire conuenit vel libram hic capi, cuius librile <lb/>latitudinem aliquam effatu dignam habet, vel cum quo trutina ita <lb/>connexa e&longs;t, vt ad vnius motum moueatur alterum, & contra: quia <lb/>totum continuum e&longs;t. </s>

<s>In extremo autem trutinæ, non eo quidem, <lb/>quod e&longs;t ei cum librili <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="fig13"></figure><lb/><emph type="italics"/>mune: &longs;ed altero, <expan abbr="c&etilde;trum">centrum</expan> <lb/>circa quod <expan abbr="tanquã">tanquam</expan> <expan abbr="fix&utilde;">fixum</expan>, <lb/>ip&longs;a moueantur, <expan abbr="&longs;it&utilde;">&longs;itum</expan> &longs;it. <lb/></s>

<s>In extremo autem trutinæ, non eo quidem, <lb/>quod e&longs;t ei cum librili <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="fig13"/><lb/><emph type="italics"/>mune: &longs;ed altero, <expan abbr="c&etilde;trum">centrum</expan> <lb/>circa quod <expan abbr="tanquã">tanquam</expan> <expan abbr="fix&utilde;">fixum</expan>, <lb/>ip&longs;a moueantur, <expan abbr="&longs;it&utilde;">&longs;itum</expan> &longs;it. <lb/></s>

<s>Sine horum enim altero <lb/>modo intelligi <expan abbr="nõ">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li<lb/>nea, admittat dif-<emph.end type="italics"/><lb/><figure id="fig14"></figure><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;urs&utilde;">&longs;ursum</expan> deor&longs;um. </s>

<s>Sine horum enim altero <lb/>modo intelligi <expan abbr="nõ">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li<lb/>nea, admittat dif-<emph.end type="italics"/><lb/><figure id="fig14"/><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;urs&utilde;">&longs;ursum</expan> deor&longs;um. </s>

<s>At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con<lb/>&longs;tituaturproblema <lb/>hîc ab Ari&longs;totele <lb/><expan abbr="po&longs;it&utilde;">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experientiã">experientiam</expan>, <lb/>&longs;ed & rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo<lb/>di <expan abbr="c&utilde;">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centr&utilde;">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it & in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, & <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="fig15"></figure><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen<lb/>trum tran&longs;ire <lb/>perpendiculari<lb/>ter ad planum <lb/><expan abbr="horizõtis">horizontis</expan> D E.<emph.end type="italics"/></s>

<s>At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con<lb/>&longs;tituaturproblema <lb/>hîc ab Ari&longs;totele <lb/><expan abbr="po&longs;it&utilde;">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experientiã">experientiam</expan>, <lb/>&longs;ed & rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo<lb/>di <expan abbr="c&utilde;">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centr&utilde;">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it & in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, & <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="fig15"/><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen<lb/>trum tran&longs;ire <lb/>perpendiculari<lb/>ter ad planum <lb/><expan abbr="horizõtis">horizontis</expan> D E.<emph.end type="italics"/></s>

<s><emph type="italics"/>Exemplum li<lb/>brilis <expan abbr="c&utilde;">cum</expan> truti<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="fig16"></figure><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>& trutina K <lb/>L, & centrum <lb/>libræ L.<emph.end type="italics"/></s>

<s><emph type="italics"/>Exemplum li<lb/>brilis <expan abbr="c&utilde;">cum</expan> truti<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="fig16"/><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>& trutina K <lb/>L, & centrum <lb/>libræ L.<emph.end type="italics"/></s>

<s>An quia &longs;u<lb/>perne.] <emph type="italics"/>In<lb/>tellectis libræ <lb/>generibus ad propo&longs;itum problema accommodatis, nunc eius partis <lb/>prioris adfertur &longs;olutio. </s>

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<s>grauis.<emph.end type="italics"/></s>

<s>Itaque librilis <foreign lang="greek">e z.</foreign>] <emph type="italics"/>Quod pars &longs;uperior librilis in vno &longs;itu <lb/>centri &longs;it maior, in altero &longs;it minor, non e&longs;t probatum ab Ari&longs;totele: <lb/>&longs;ed ex fabrica librilis vtriu&longs;que generis res ilico fit euidens, etiam <lb/>pro Ari&longs;totelis characteribus no&longs;tris ad diagrammata adiunctis.<emph.end type="italics"/><pb pagenum="52"/><emph type="italics"/>Nam in librili primi modi cum obliquatur C F perpendiculum li<lb/>brilis, quod ip&longs;um perpetuò bifariam &longs;ecat, digreditur à perpendicu<lb/>lari intellecta, quam &longs;ecat<emph.end type="italics"/><lb/><figure id="fig17"></figure><lb/><emph type="italics"/>in centro, &longs;icque triangu<lb/>lum con&longs;tituit comprehen<lb/>dens aliquam partem al<lb/>terutrius brachÿ nempe F <lb/>C E, vel R C F, quæ &longs;ic <lb/>detracta vni, & alteri ad<lb/>dita, reddit hoc à quo de<lb/>trahitur minus, & eius <lb/>detractæ partis duplo alte<lb/>rum <expan abbr="brachi&utilde;">brachium</expan> maius. </s>

<s>Itaque librilis <foreign lang="greek">e z.</foreign>] <emph type="italics"/>Quod pars &longs;uperior librilis in vno &longs;itu <lb/>centri &longs;it maior, in altero &longs;it minor, non e&longs;t probatum ab Ari&longs;totele: <lb/>&longs;ed ex fabrica librilis vtriu&longs;que generis res ilico fit euidens, etiam <lb/>pro Ari&longs;totelis characteribus no&longs;tris ad diagrammata adiunctis.<emph.end type="italics"/><pb pagenum="52"/><emph type="italics"/>Nam in librili primi modi cum obliquatur C F perpendiculum li<lb/>brilis, quod ip&longs;um perpetuò bifariam &longs;ecat, digreditur à perpendicu<lb/>lari intellecta, quam &longs;ecat<emph.end type="italics"/><lb/><figure id="fig17"/><lb/><emph type="italics"/>in centro, &longs;icque triangu<lb/>lum con&longs;tituit comprehen<lb/>dens aliquam partem al<lb/>terutrius brachÿ nempe F <lb/>C E, vel R C F, quæ &longs;ic <lb/>detracta vni, & alteri ad<lb/>dita, reddit hoc à quo de<lb/>trahitur minus, & eius <lb/>detractæ partis duplo alte<lb/>rum <expan abbr="brachi&utilde;">brachium</expan> maius. </s>

<s>At<lb/>que hic modus conuenit <lb/>&longs;en&longs;ui Ari&longs;totelis, vt qui <lb/>eo v&longs;urus &longs;it capite &longs;equen<lb/>ti in problemate de vecte. <lb/></s>

<s>Et etiam pulchrè re&longs;pon-<emph.end type="italics"/><lb/><figure id="fig18"></figure><lb/><emph type="italics"/>det cau&longs;æ iam dictæ ex <lb/>proprietate circuli, quate<lb/>nus eius radÿ breuiores <lb/>&longs;unt aut longiores, & pro<lb/>pter i&longs;tam inæqualitatem <lb/>tardiores aut velociores.<emph.end type="italics"/></s>

<s>Et etiam pulchrè re&longs;pon-<emph.end type="italics"/><lb/><figure id="fig18"/><lb/><emph type="italics"/>det cau&longs;æ iam dictæ ex <lb/>proprietate circuli, quate<lb/>nus eius radÿ breuiores <lb/>&longs;unt aut longiores, & pro<lb/>pter i&longs;tam inæqualitatem <lb/>tardiores aut velociores.<emph.end type="italics"/></s>

<s><emph type="italics"/>In librili vero &longs;ecundi <lb/>modi res erit adhuc aper<lb/>tior. </s>

<s>Centro &longs;iquidem L, <lb/>& interuallo L K circu<lb/>lus de&longs;cribatur, & K <lb/><expan abbr="mot&utilde;">motum</expan> &longs;it in P propter vim <lb/>allatam: tum L K per<lb/>pendicularis intellecta pro<lb/>ducta &longs;ecabit brachium <lb/>P H, id e&longs;t K H, vt in <lb/>M: &longs;icque P M accre&longs;cet pro longitudine ideo & grauitate ad <lb/>P G, redibit igitur G P M.<emph.end type="italics"/></s><pb pagenum="53"/><figure></figure>

<s><emph type="italics"/>Contra in alte<lb/>ro diagrammate <lb/>eiu&longs;modi &longs;ectio <lb/>fiet, vt in O, & <lb/>&longs;ic pars O P ac<lb/>cre&longs;cet ad P H: <lb/>&longs;icque tota O P <lb/>H vt longior, ita <lb/>grauior O G. <lb/></s>

<s>Manebit igitur <lb/>(præ&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan><emph.end type="italics"/><lb/><figure id="fig19"></figure><lb/><emph type="italics"/>lanx in&longs;ideat ter<lb/>ræ vel alicui ful<lb/>cro. </s>

<s>Manebit igitur <lb/>(præ&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan><emph.end type="italics"/><lb/><figure id="fig19"/><lb/><emph type="italics"/>lanx in&longs;ideat ter<lb/>ræ vel alicui ful<lb/>cro. </s>

<s>Sed & in li<lb/>brilibus huius ge<lb/>neris reditus & <lb/>non reditus alia <lb/><expan abbr="etiã">etiam</expan> cau&longs;a e&longs;t, &longs;ci<lb/>licet quia <expan abbr="null&utilde;">nullum</expan> <expan abbr="c&etilde;">cem</expan> <lb/><expan abbr="tr&utilde;">trum</expan> grauitatis ma<lb/>net ni&longs;i &longs;u&longs;tinea<lb/>tur à linea <expan abbr="per-p&etilde;diculari">per<lb/>pendiculari</expan> ad pla<lb/>num horizontis. </s>

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<s>At G O P H manebit &longs;ic, nec <lb/>redibit ad G k H, quia, quod e&longs;&longs;et contra naturam, a&longs;cenderet. <lb/></s>

<s>Vbiautem centrum librilis e&longs;t exqui&longs;itè medium, vt C ip&longs;ius A B <lb/>cum trutina C D mobili, &longs;eu &longs;upra, &longs;eu infra po&longs;ita &longs;it, quocunqu<gap/><emph.end type="italics"/><pb pagenum="54"/><figure id="fig20"></figure><lb/><emph type="italics"/>in &longs;itu fuerit A B vt <lb/>in G H manebit, tum <lb/>quia brachia manent <lb/>æqualia, tum quia cen<lb/>trum grauitatis C &longs;em<lb/>per erit in perpendicu<lb/>lari horizontis, &longs;ecun<lb/>dum quam & ad quam <lb/>magnitudo compo&longs;ita <lb/>exbrachÿs C A, C B & lancibus & ponderibus æquiponderan<lb/>tibus, &longs;i impo&longs;ita &longs;int, fertur, &longs;ed &longs;u&longs;tinetur linea C D vel C E <lb/>fixa. </s>

<s>Vbiautem centrum librilis e&longs;t exqui&longs;itè medium, vt C ip&longs;ius A B <lb/>cum trutina C D mobili, &longs;eu &longs;upra, &longs;eu infra po&longs;ita &longs;it, quocunqu<gap/><emph.end type="italics"/><pb pagenum="54"/><figure id="fig20"/><lb/><emph type="italics"/>in &longs;itu fuerit A B vt <lb/>in G H manebit, tum <lb/>quia brachia manent <lb/>æqualia, tum quia cen<lb/>trum grauitatis C &longs;em<lb/>per erit in perpendicu<lb/>lari horizontis, &longs;ecun<lb/>dum quam & ad quam <lb/>magnitudo compo&longs;ita <lb/>exbrachÿs C A, C B & lancibus & ponderibus æquiponderan<lb/>tibus, &longs;i impo&longs;ita &longs;int, fertur, &longs;ed &longs;u&longs;tinetur linea C D vel C E <lb/>fixa. </s>

<s>Et &longs;ic patet &longs;olutio tertiæ partis huius problematis ab Ari&longs;totele <lb/>prætermi&longs;&longs;æ. </s>

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<s>4. Potentiæ vectis cau&longs;a.</s>

<s><margin.target id="marg18"></margin.target>Videtur hic <lb/>aliquid de<lb/>e&longs;&longs;e & fortè. <lb/><emph type="italics"/>Radius au<lb/>tem minor <lb/>tardius.<emph.end type="italics"/></s>

<s><margin.target id="marg18"/>Videtur hic <lb/>aliquid de<lb/>e&longs;&longs;e & fortè. <lb/><emph type="italics"/>Radius au<lb/>tem minor <lb/>tardius.<emph.end type="italics"/></s>

<s>Cur vires exiguæ vecte <lb/>magna <expan abbr="mou&etilde;t">mouent</expan> onera, vt e&longs;t <lb/>in principio <expan abbr="dict&utilde;">dictum</expan> in&longs;uper <lb/><expan abbr="adiici&etilde;do">adiiciendo</expan> vectis ip&longs;i^{9} onus. <lb/></s>

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<s>Potentiæ vectis cau&longs;a.] <emph type="italics"/>Vectis definitus e&longs;t à Budæo bacu</s>

<s><arrow.to.target n="marg19"></arrow.to.target><lb/>lus validus per mediam machinam traiectus, quo manuducto <lb/>machina, dum ver&longs;atur, funem ductarium aduoluit. </s>

<s><arrow.to.target n="marg19"/><lb/>lus validus per mediam machinam traiectus, quo manuducto <lb/>machina, dum ver&longs;atur, funem ductarium aduoluit. </s>

<s>Hæc definitio <lb/><expan abbr="nimi&utilde;">nimium</expan> angu&longs;ta e&longs;t, neque huic loco <expan abbr="cõuenit">conuenit</expan>, neque &longs;atis rei ip&longs;i. </s>

<s>vectis <lb/>enim per &longs;e machina e&longs;t. </s>

<s>E&longs;tigitur vectis palus oblongior vno <expan abbr="&longs;uor&utilde;">&longs;uorum</expan> <lb/>extremorum acutus, altero obtu&longs;us ex ligno vel ferro inflexibi<lb/>lis ad <expan abbr="commou&etilde;-">commouen-</expan><emph.end type="italics"/><lb/><figure id="fig21"></figure><lb/><emph type="italics"/>da onera factus, <lb/>vt e&longs;t A B. pars <lb/>obtu&longs;a caput: pars acuta lingula vocatur. </s>

<s>E&longs;tigitur vectis palus oblongior vno <expan abbr="&longs;uor&utilde;">&longs;uorum</expan> <lb/>extremorum acutus, altero obtu&longs;us ex ligno vel ferro inflexibi<lb/>lis ad <expan abbr="commou&etilde;-">commouen-</expan><emph.end type="italics"/><lb/><figure id="fig21"/><lb/><emph type="italics"/>da onera factus, <lb/>vt e&longs;t A B. pars <lb/>obtu&longs;a caput: pars acuta lingula vocatur. </s>

<s>Hoc vtendi modus duplex <lb/>e&longs;t. </s>

<s>Primus cum lingula &longs;ubditur oneri commouendo, & vecti ip&longs;i <lb/>quam proxime lingulæ &longs;ubditur corpu&longs;culum firmum, quod Græcis<emph.end type="italics"/><lb/><foreign lang="greek">(w_omo/xlion,</foreign> <emph type="italics"/>Vitruuio preßio dicitur. </s>

<s>Huius figura e&longs;t ferè quæ<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana æqualia &longs;imilia, parallela, &longs;int trian-<emph.end type="italics"/><lb/><figure id="fig22"></figure><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. </s>

<s>Huius figura e&longs;t ferè quæ<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana æqualia &longs;imilia, parallela, &longs;int trian-<emph.end type="italics"/><lb/><figure id="fig22"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. </s>

<s>Huius enim <lb/>pri&longs;matis lateri vni tanquam centro, &longs;i <lb/>vectis innitentis caput deprimatur, nece&longs;&longs;e <lb/>erit ilico lingulam, & con&longs;equenter lin<lb/>guæ innixum onus attolli, & ideo com<lb/>moueri. </s>

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<s>à quo parum di&longs;&longs;entimus dum in &longs;ecundo v&longs;u vectis ponit &longs;olum &longs;eu <lb/>aream pro onere, nos pro centro & hypomochlio, quor&longs;um, dicemus<emph.end type="italics"/><lb/><arrow.to.target n="marg20"></arrow.to.target><lb/><emph type="italics"/>alibi. </s>

<s>Galenus comparauit mu&longs;culum, qui e&longs;t in&longs;trumentum motus <lb/>voluntarÿ vecti. </s>

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<s>Itaque <lb/>hic ÿs qui anatomen corporis humani re&longs;pexerunt <expan abbr="iucund&utilde;">iucundum</expan> e&longs;t ip&longs;ius <lb/>membra, tanquam onera &longs;excentis mu&longs;culis, tanquam vectibus, tam <lb/>varie flecti, intendi &longs;ur&longs;um, ferri deor&longs;um, demitti ad latera, contor<lb/>queri, circumuolui, & ad omnes motus, quos voluntas humana vti<lb/>litate incitata præ&longs;cribit, educi, immo vero ÿ&longs;dem agentibus in quie<lb/>te, & quam medici appellant in media figura, retineri.<emph.end type="italics"/></s>

<s><margin.target id="marg19"></margin.target>Annot. </s>

<s><margin.target id="marg19"/>Annot. </s>

<s>in <lb/>Pandectas.</s>

<s><margin.target id="marg20"></margin.target>Cap.

<s><margin.target id="marg20"/>Cap.

10 lib. <lb/></s>

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<s>Vte&longs;t potentia ad pondus &longs;u&longs;tentum: ita e&longs;t pars vectis ab hypo<lb/>mochlio ver&longs;us linguam, ad partem ab eodem hypomochlio ver&longs;us <lb/>caput, quod vt demon&longs;tretur. </s>

<s>Sit vectis A B, & huius hypo<lb/>mochlium C:<emph.end type="italics"/><lb/><figure id="fig23"></figure><lb/><emph type="italics"/><expan abbr="&longs;icq;">&longs;icque</expan> vectis duæ <lb/>partes C A ver<lb/>&longs;us linguam, C <lb/>B ver&longs;us caput: <lb/>&longs;it quoque pon<lb/>dus D &longs;u&longs;pen&longs;um ex perpendiculari A D: potentia autem &longs;u&longs;tinens <lb/>&longs;it in B. </s>

<s>Sit vectis A B, & huius hypo<lb/>mochlium C:<emph.end type="italics"/><lb/><figure id="fig23"/><lb/><emph type="italics"/><expan abbr="&longs;icq;">&longs;icque</expan> vectis duæ <lb/>partes C A ver<lb/>&longs;us linguam, C <lb/>B ver&longs;us caput: <lb/>&longs;it quoque pon<lb/>dus D &longs;u&longs;pen&longs;um ex perpendiculari A D: potentia autem &longs;u&longs;tinens <lb/>&longs;it in B. </s>

<s>Dico potentiam in B e&longs;&longs;e ad pondus D: vt A C ad B <lb/>C (quod hic vocatur reciprocè) fiat ergo vt B C ad A C: ita <lb/>pondus D ad aliud, vt E. hoc igitur pondus E loco potentiæ ap<lb/>pen&longs;um in B, ip&longs;um D pondere æquabit. </s>

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<s>Quod in quouis dato pondere cum rèrum natura non <lb/>patiatur, problema alioqui geometricè demon&longs;tratum, in v&longs;u ob ma<lb/>teriæ &longs;atis longæ & firmæ <expan abbr="defect&utilde;">defectum</expan> &longs;uæ rationi re&longs;pondere <expan abbr="nõ">non</expan> pote&longs;t.<emph.end type="italics"/></s>

<s>Sit vectis <foreign lang="greek">a b</foreign>] <emph type="italics"/>huius diagrammatis expo&longs;itio &longs;i non imperfe<lb/>cta e&longs;t, adfertur tantum ad o&longs;tendendum quod pondus<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>ab eo cum<emph.end type="italics"/><lb/><figure id="fig24"></figure><lb/><emph type="italics"/>erat in<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>per depreßionem<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="greek">k.</foreign> <emph type="italics"/>Sed adhuc <lb/>paulo ob&longs;curius. </s>

<s>Sit vectis <foreign lang="greek">a b</foreign>] <emph type="italics"/>huius diagrammatis expo&longs;itio &longs;i non imperfe<lb/>cta e&longs;t, adfertur tantum ad o&longs;tendendum quod pondus<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>ab eo cum<emph.end type="italics"/><lb/><figure id="fig24"/><lb/><emph type="italics"/>erat in<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>per depreßionem<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="greek">k.</foreign> <emph type="italics"/>Sed adhuc <lb/>paulo ob&longs;curius. </s>

<s>Apertius igitur &longs;ic. </s>

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<s>Et <expan abbr="ver&utilde;">verum</expan> dicere Gale<lb/>num cogno&longs;cemus &longs;i prius intellexerimus quomodo remorum extre<lb/>mitates in remigationis ictu ad æqualitatem perueniant. </s>

<s>Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="fig25"></figure><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de<lb/>&longs;inant &longs;ecundum re<lb/>ctam A B parallelam <lb/>rectæ, quæ in naui ex<lb/>tenderetur à prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/></s>

<s>Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="fig25"/><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de<lb/>&longs;inant &longs;ecundum re<lb/>ctam A B parallelam <lb/>rectæ, quæ in naui ex<lb/>tenderetur à prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/></s>

<s>Sed &longs;i &longs;ic præterquam <lb/>quod Thalamitarum <lb/>Zygitarum & Thra-<emph.end type="italics"/><pb pagenum="66"/><emph type="italics"/>nitarum Remi e&longs;&longs;ent æquales prop.

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<s>Po&longs;terior igitur e&longs;t &longs;i de&longs;inant &longs;ecundum lineam pa<lb/>rallelam &longs;pondæ nauis quæ &longs;emper e&longs;t<emph.end type="italics"/> <foreign lang="greek">w_<gap/>e<gap/>xoeidh\s.</foreign> <emph type="italics"/>Sic enim <lb/>Galenus <expan abbr="digitor&utilde;">digitorum</expan> corpus valde <expan abbr="&longs;phæric&utilde;">&longs;phæricum</expan> omnium à manu <expan abbr="appreh&etilde;-dendor&utilde;">apprehen<lb/>dendorum</expan> <expan abbr="difficillim&utilde;">difficillimum</expan>, <expan abbr="apprehendenti&utilde;">apprehendentium</expan> extremitates vult de &longs;inere in <lb/>eandem circuli ip&longs;um &longs;ecantis <expan abbr="peripheriã">peripheriam</expan>. </s>

<s>Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe-<emph.end type="italics"/><lb/><figure id="fig26"></figure><lb/><emph type="italics"/><expan abbr="riphericã">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de-&longs;inãt">de<lb/>&longs;inant</expan> prædicti re<lb/>mi, non &longs;olum re<lb/>morum erit inæ<lb/>qualitas, & me<lb/>dius erit maxi<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed & nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="cõtrarias">contrarias</expan> <lb/>cau&longs;as, quippè ve<lb/>luti circulationes <lb/><expan abbr="vndar&utilde;">vndarum</expan> circa na<lb/>uim fient, vnde <lb/>quæ ante e&longs;t pro<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>& retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s>

<s>Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe-<emph.end type="italics"/><lb/><figure id="fig26"/><lb/><emph type="italics"/><expan abbr="riphericã">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de-&longs;inãt">de<lb/>&longs;inant</expan> prædicti re<lb/>mi, non &longs;olum re<lb/>morum erit inæ<lb/>qualitas, & me<lb/>dius erit maxi<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed & nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="cõtrarias">contrarias</expan> <lb/>cau&longs;as, quippè ve<lb/>luti circulationes <lb/><expan abbr="vndar&utilde;">vndarum</expan> circa na<lb/>uim fient, vnde <lb/>quæ ante e&longs;t pro<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>& retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s>

<s>Quod autem <lb/>M H N medius remus &longs;it longior remis O I P & K G L fa<lb/>cile demon&longs;tratur ducta recta G I parallela ip&longs;i K. O. </s>

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<s>31. lib.

1. &longs;icque parallelogramma &longs;unt O F &<emph.end type="italics"/><lb/><figure id="fig27"></figure><lb/><emph type="italics"/>N C. </s>

1. &longs;icque parallelogramma &longs;unt O F &<emph.end type="italics"/><lb/><figure id="fig27"/><lb/><emph type="italics"/>N C. </s>

<s>Quoniam igitur diame<lb/>ter A B maxima e&longs;t in&longs;cripta<lb/>rum in circulo, & K I propin<lb/>quior centro ip&longs;i L H remotiore <lb/>maior e&longs;t prop.

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<s>Angulus enim æqualis.] <emph type="italics"/>Licet oculata alioquin fide perci<lb/>piatur quanta & quam euidens nauigÿ temone paulùm vixque con<lb/>torto ip&longs;ius proræ &longs;tatim tran&longs;po&longs;itio multo maior con&longs;equatur: ta<lb/>men & id geometrica propo&longs;itione confirmatur quæ imperfecta e&longs;t <lb/>&longs;ed &longs;ic perfici pote&longs;t.<emph.end type="italics"/></s>

<s><emph type="italics"/>Si duo I&longs;o&longs;celia æqualia angulis, inæqualium crurum fuerint: <lb/>erunt & inæqualia<emph.end type="italics"/><lb/><figure id="fig28"></figure><lb/><emph type="italics"/>ba&longs;ibus: & huius ba<lb/>&longs;is maior, cuius crura <lb/>maiora. </s>

<s><emph type="italics"/>Si duo I&longs;o&longs;celia æqualia angulis, inæqualium crurum fuerint: <lb/>erunt & inæqualia<emph.end type="italics"/><lb/><figure id="fig28"/><lb/><emph type="italics"/>ba&longs;ibus: & huius ba<lb/>&longs;is maior, cuius crura <lb/>maiora. </s>

<s>Sint A B E <lb/>& A D C duo i&longs;o&longs;<lb/>celia æqualia angulis <lb/>qui ad A, & A D <lb/>crus e&longs;to maius crure <lb/>A B &longs;icut & A C <lb/>ip&longs;o A E. </s>

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<s>Eadem enim moles eadem <lb/>vi mota per aerem plus, <lb/>quam per aquam progre<lb/>ditur. </s>

<s>Sit enim remus <foreign lang="greek">a b</foreign><lb/>& &longs;calm^{9} <foreign lang="greek">g,</foreign> & intra nauim <lb/>caput remi <foreign lang="greek">a</foreign> palmula intra <lb/>mare <foreign lang="greek">b.</foreign> Si ita que <foreign lang="greek">a</foreign> <expan abbr="tran&longs;la-t&utilde;">tran&longs;la<lb/>tum</expan> &longs;it eò, vbi e&longs;t <foreign lang="greek">d</foreign>: ip&longs;um <foreign lang="greek">b</foreign><pb pagenum="80"/><gap/><lb/><arrow.to.target n="marg21"></arrow.to.target><lb/>non erit vbi e&longs;t <foreign lang="greek">e.</foreign> E&longs;t enim <lb/><foreign lang="greek">b e</foreign> æqualis ip&longs;i <foreign lang="greek">a d.</foreign> Ex <lb/>æquo igítur tran&longs;latum e&longs;<lb/>&longs;et, &longs;ed minus erat. </s>

<s>Sit enim remus <foreign lang="greek">a b</foreign><lb/>& &longs;calm^{9} <foreign lang="greek">g,</foreign> & intra nauim <lb/>caput remi <foreign lang="greek">a</foreign> palmula intra <lb/>mare <foreign lang="greek">b.</foreign> Si itaque <foreign lang="greek">a</foreign> <expan abbr="tran&longs;la-t&utilde;">tran&longs;la<lb/>tum</expan> &longs;it eò, vbi e&longs;t <foreign lang="greek">d</foreign>: ip&longs;um <foreign lang="greek">b</foreign><pb pagenum="80"/><gap/><lb/><arrow.to.target n="marg21"/><lb/>non erit vbi e&longs;t <foreign lang="greek">e.</foreign> E&longs;t enim <lb/><foreign lang="greek">b e</foreign> æqualis ip&longs;i <foreign lang="greek">a d.</foreign> Ex <lb/>æquo igítur tran&longs;latum e&longs;<lb/>&longs;et, &longs;ed minus erat. </s>

<s>E&longs;t igi<lb/>tur vbi <foreign lang="greek">z.</foreign> Minor enim e&longs;t <lb/><foreign lang="greek">b z</foreign>: <expan abbr="quã">quam</expan> <foreign lang="greek">a d.</foreign> Itaque etiam <lb/><foreign lang="greek">q z</foreign> quam <foreign lang="greek">d <expan abbr="q.">que</expan></foreign> Similia enim <lb/>&longs;unt triangula. </s>

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<s>Non autem <lb/>ad <foreign lang="greek">d</foreign> procederet, ni&longs;i mo<lb/>ueretur nauis, & eo vbi e&longs;t <lb/>caput remi, transferretur.</s>

<s><margin.target id="marg21"></margin.target>Inclu&longs;a his <lb/>notis [] ni <lb/>hil faciunt <lb/>ad rem.</s>

<s><margin.target id="marg21"/>Inclu&longs;a his <lb/>notis [] ni <lb/>hil faciunt <lb/>ad rem.</s>

<s>COMMENTARIVS.</s>

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<s><emph type="italics"/>Hoc autem quanquam verum &longs;it, quor&longs;um tamen, dubium e&longs;t. <lb/></s>

<s>Exi&longs;timauit Nonius ideò hîc po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi-<emph.end type="italics"/><lb/><figure id="fig29"></figure><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hane de&longs;cri<lb/>bit figuram. </s>

<s>Exi&longs;timauit Nonius ideò hîc po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi-<emph.end type="italics"/><lb/><figure id="fig29"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hane de&longs;cri<lb/>bit figuram. </s>

<s>qua demon<lb/>&longs;trat cum A caput remi <lb/>remigatione facta e&longs;t in <lb/>D, palmulam B remi A <lb/>B e&longs;&longs;e non in E: &longs;ed in K <lb/>vltra E. </s>

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<s>quod &longs;i quando fiat, fit <lb/>exaccidenti, nec citra naufragÿ periculum: imo vero &longs;ic non tam <lb/>nauis ferretur antror&longs;um: quam in profundum. </s>

<s>At contrà latum <lb/>pro&longs;perè nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em<lb/>per æquidi&longs;tantem aquæ, ni&longs;i quod verius e&longs;t, arcum peripheriæ, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aquæ.<emph.end type="italics"/><lb/><figure id="fig30"></figure><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, & <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi<lb/>gationis, & in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal<lb/>mulæ B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. </s>

<s>At contrà latum <lb/>pro&longs;perè nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em<lb/>per æquidi&longs;tantem aquæ, ni&longs;i quod verius e&longs;t, arcum peripheriæ, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aquæ.<emph.end type="italics"/><lb/><figure id="fig30"/><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, & <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi<lb/>gationis, & in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal<lb/>mulæ B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. </s>

<s>Et quidem cum anguli qui ad E &longs;int &longs;emper <lb/>æquales prop.

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<s>E&longs;t enim A F maior quam A D axiom. </s>

<s>9. quæ demon&longs;trata e&longs;t<emph.end type="italics"/><pb pagenum="84"/><figure id="fig31"></figure><lb/><emph type="italics"/>e&longs;&longs;e maior ip&longs;a B E: &longs;ic <lb/>etiam C &longs;calmus erit in O, <lb/>æquedi&longs;tanter cum C ab <lb/>aqua. </s>

<s>9. quæ demon&longs;trata e&longs;t<emph.end type="italics"/><pb pagenum="84"/><figure id="fig31"/><lb/><emph type="italics"/>e&longs;&longs;e maior ip&longs;a B E: &longs;ic <lb/>etiam C &longs;calmus erit in O, <lb/>æquedi&longs;tanter cum C ab <lb/>aqua. </s>

<s>quod fieri oportet in <lb/>artificio&longs;a & pro&longs;pera na<lb/>uigatione. </s>

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<s><emph type="italics"/>Alterum e&longs;t &longs;calmum bi&longs;&longs;ecare remum.<emph.end type="italics"/></s>

<s><emph type="italics"/>In&longs;uper Nonius a&longs;&longs;erit nauim interdum maius &longs;patium percurrere:<emph.end type="italics"/><lb/><figure id="fig32"></figure><lb/><emph type="italics"/>quam caput remi: interdum minus, iuxta <lb/>remigum vires, & provt mariremi pal<lb/>mula immer&longs;a fuerit: Quæ omnia vt con<lb/>&longs;picua fiant, demon&longs;trat quinque <expan abbr="&longs;equ&etilde;tes">&longs;equentes</expan> <lb/>propo&longs;itiones.<emph.end type="italics"/></s>

<s><emph type="italics"/>In&longs;uper Nonius a&longs;&longs;erit nauim interdum maius &longs;patium percurrere:<emph.end type="italics"/><lb/><figure id="fig32"/><lb/><emph type="italics"/>quam caput remi: interdum minus, iuxta <lb/>remigum vires, & provt mariremi pal<lb/>mula immer&longs;a fuerit: Quæ omnia vt con<lb/>&longs;picua fiant, demon&longs;trat quinque <expan abbr="&longs;equ&etilde;tes">&longs;equentes</expan> <lb/>propo&longs;itiones.<emph.end type="italics"/></s>

<s>Propo&longs;itio prima.</s>

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<s>Itaque caput remi A maius <lb/>percurrit &longs;patium: quam nauis. </s>

<s>quod erat demon&longs;trandum.<emph.end type="italics"/></s><figure></figure>

<s>quod erat demon&longs;trandum.<emph.end type="italics"/></s><figure/>

<s><emph type="italics"/>Quod &longs;i per punctum B rectam duca<lb/>mus H K æqualem remo, & ad rectos <lb/>cum recta B D, & in&longs;uper &longs;ecantem A<emph.end type="italics"/><lb/>3 <emph type="italics"/>in puncto I, manife&longs;tè intelligemus <lb/>ip&longs;am rectam A E (quæ e&longs;t totus motus <lb/>capitis remi in vna remigatione) con&longs;tare <lb/>ex A I, & I E, quarum prior re&longs;pon<lb/>det curuæ A H de&longs;criptæ per capitis remi <lb/>motum proprium: po&longs;terior vero æqualis <lb/>e&longs;trectæ B D (&longs;unt enim latera parallelo<lb/>grammi oppo&longs;ita prop.

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<s>quia ad <lb/>&longs;equentia etiam vtile e&longs;t.<emph.end type="italics"/></s>

<s><emph type="italics"/>Ante remigationem remi existentis in &longs;calmo B &longs;it nauis prora C <lb/>po&longs;t remigationem &longs;it B<emph.end type="italics"/><lb/><figure id="fig33"></figure><lb/><emph type="italics"/>in E & prora in D &longs;ic<lb/>que C D erit nauis pro<lb/>motio, & B E &longs;calmi. <lb/></s>

<s><emph type="italics"/>Ante remigationem remi existentis in &longs;calmo B &longs;it nauis prora C <lb/>po&longs;t remigationem &longs;it B<emph.end type="italics"/><lb/><figure id="fig33"/><lb/><emph type="italics"/>in E & prora in D &longs;ic<lb/>que C D erit nauis pro<lb/>motio, & B E &longs;calmi. <lb/></s>

<s>Dico igitur C D & B E æquales, quia reliquæ &longs;unt ex æqualibus <lb/>B C, E D dempto communi E C axio. </s>

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<s>Propo&longs;itio &longs;ecunda.</s>

<s><emph type="italics"/>Capite remi motu proprio, & naui æqualiter motis, palmula im<lb/>mota veluti centrum manet: & palmula immota, caput remi & <lb/>nauis æqualiter mota &longs;unt.<emph.end type="italics"/></s><pb pagenum="86"/><figure></figure>

<s><emph type="italics"/>Remus in principio motus habeat <lb/>po&longs;itionem A B C, ducaturque per <lb/>punctum C, in quo remi palmula <lb/>recta C G rectos efficiens angulos <lb/>in puncto G cum recta per quam ad <lb/>motum nauis &longs;calmus B mouetur. </s>

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<s>Propo&longs;itio tertia.</s>

<s><emph type="italics"/>Capite remi proprio motu conficiente &longs;patium duplum &longs;patÿ nauis: <lb/>tunc nauis tantùm promouebitur, quantùm palmula retrocedet.<emph.end type="italics"/></s><figure></figure>

<s><emph type="italics"/>Remus incipiente motu &longs;it A C, <lb/>de&longs;inente vero habeat rectitudinis <lb/>&longs;itum F G. </s>

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<s>Propo&longs;itio quinta.</s>

<s><emph type="italics"/>Naui celerius mota quam caput remi: palmula antror&longs;um moue<lb/>bitur, nec quicquam retrocedet, idque &longs;patÿ decurret quo nauis motus <lb/>motum capitis remi &longs;uperat.<emph.end type="italics"/></s><figure></figure>

<s><emph type="italics"/>Habeat remus inci<lb/>piente motu po&longs;itionem <lb/>A C: de&longs;inente vero <lb/><expan abbr="&longs;it&utilde;">&longs;itum</expan> rectitudinis F G. <lb/></s>

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<s>9. <lb/>E&longs;t enim malus vectis, & mali pterna &longs;eu calx e&longs;t hypo<lb/>mochlium.<emph.end type="italics"/></s>

<s><emph type="italics"/>Ergo antemna cum &longs;uperior e&longs;t, ventus facilius & celerius <lb/>mouet nauim.<emph.end type="italics"/><lb/><arrow.to.target n="marg22"></arrow.to.target></s>

<s><emph type="italics"/>Ergo antemna cum &longs;uperior e&longs;t, ventus facilius & celerius <lb/>mouet nauim.<emph.end type="italics"/><lb/><arrow.to.target n="marg22"/></s>

<s><margin.target id="marg22"></margin.target>Cap.

<s><margin.target id="marg22"/>Cap.

8. lib <lb/>10.</s>

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<s>Quod feci&longs;&longs;e &longs;ignificabat Troianos Virgi-<emph.end type="italics"/></s>

<s><arrow.to.target n="marg23"></arrow.to.target><lb/><emph type="italics"/>lius hoc ver&longs;u,<emph.end type="italics"/></s>

<s><arrow.to.target n="marg23"/><lb/><emph type="italics"/>lius hoc ver&longs;u,<emph.end type="italics"/></s>

<s>3. <lb/>Æneid.</s>

<s><margin.target id="marg23"/>Lib. 3. <lb/>Æneid.</s>

<s>Cornua velatarum obuertimus antemnarum.</s>

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<s>Quæ iußio forta&longs;&longs;e erat,<emph.end type="italics"/> <foreign lang="greek">e)ru_n po/da,</foreign> <emph type="italics"/>dicere <expan abbr="ped&etilde;">pedem</expan>, vbi <expan abbr="St&etilde;-torea">Sten<lb/>torea</expan> voce opus erat, vt ab omnibus audiretur: contra hodie apud <lb/>Gallos, inituris pugnam iubetur a&longs;cendere in equos: po&longs;terior e&longs;t qua <lb/>ea pars in velo, quæ acutior & inferior ad nauis latus, vel ad mali <lb/><expan abbr="pternã">pternam</expan> religatur, modóque <expan abbr="cõtrahitur">contrahitur</expan> modò relaxatur. </s>

<s>vnde Poëta:<emph.end type="italics"/><lb/><arrow.to.target n="marg24"></arrow.to.target></s>

<s>vnde Poëta:<emph.end type="italics"/><lb/><arrow.to.target n="marg24"/></s>

<s><margin.target id="marg24"/>Lib. 5. <lb/>Æneid.</s>

<s>5. <lb/>Æneid.</s>

<s>vna omnes fecere pedem.</s>

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<s><arrow.to.target n="marg25"></arrow.to.target><pb pagenum="96"/><emph type="italics"/>detrahitur his velum, & vocantur<emph.end type="italics"/> <foreign lang="greek">mesouri/ai</foreign>: <emph type="italics"/>aut intenditur vtrin<lb/>que ad proram, & &longs;unt<emph.end type="italics"/> <foreign lang="greek">w_<gap/>/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek"><gap/>\ ta\s gwni/as</foreign> <emph type="italics"/>ad angulos, & dicuntur<emph.end type="italics"/> <foreign lang="greek">po/des</foreign> <emph type="italics"/>& ante hos<emph.end type="italics"/><lb/><foreign lang="greek">w_<gap/>/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib.

<s><arrow.to.target n="marg25"/><pb pagenum="96"/><emph type="italics"/>detrahitur his velum, & vocantur<emph.end type="italics"/> <foreign lang="greek">mesouri/ai</foreign>: <emph type="italics"/>aut intenditur vtrin<lb/>que ad proram, & &longs;unt<emph.end type="italics"/> <foreign lang="greek">w_<gap/>/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek"><gap/>\ ta\s gwni/as</foreign> <emph type="italics"/>ad angulos, & dicuntur<emph.end type="italics"/> <foreign lang="greek">po/des</foreign> <emph type="italics"/>& ante hos<emph.end type="italics"/><lb/><foreign lang="greek">w_<gap/>/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib.

2. cap.

47. Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant.<emph.end type="italics"/></s>

<s>Cur quando.] <emph type="italics"/>Sextum e&longs;t problema &longs;peciale de vecte in naui<lb/>gatione obliqua, quod &longs;oluitur triplici ope nempe veli obliqui ex par<lb/>te contracti, parteque expan&longs;i gubernaculi tanquam vectis, & re<lb/>migum renixus.<emph.end type="italics"/></s>

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<s>Atque illum præceps prono rapit alueus amne.</s>

<s><emph type="italics"/>Inter hos duo &longs;unt medÿ, vnus tran&longs;uer&longs;us ad latera nauis perpendi<lb/>culariter incidens: alter obliquus <lb/><figure id="fig34"></figure><lb/>qui medius e&longs;t inter &longs;ecundum & <lb/>tran&longs;uer&longs;um, velinter aduer&longs;um & <lb/>tran&longs;uer&longs;um. </s>

<s><emph type="italics"/>Inter hos duo &longs;unt medÿ, vnus tran&longs;uer&longs;us ad latera nauis perpendi<lb/>culariter incidens: alter obliquus <lb/><figure id="fig34"/><lb/>qui medius e&longs;t inter &longs;ecundum & <lb/>tran&longs;uer&longs;um, velinter aduer&longs;um & <lb/>tran&longs;uer&longs;um. </s>

<s>Vt e&longs;to nauis G H, <lb/>& prora &longs;it G puppis H, ventus <lb/>ex B &longs;ecundus erit, ex A aduer<lb/>&longs;us, ex C vel D tran&longs;uer&longs;us, ex E <lb/>vel F obliquus. </s>

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<s>Ii&longs;dem <lb/>ventis in contrarium nauigatur prolatis pedibus (hi &longs;unt funes de <lb/>quibus ante) vt noctu plerumque vela concurrant. </s>

<s>Hoc autem vt <lb/>fiat geometricè demon&longs;tratur.<emph.end type="italics"/></s><figure></figure>

<s>Hoc autem vt <lb/>fiat geometricè demon&longs;tratur.<emph.end type="italics"/></s><figure/>

<s><emph type="italics"/>Sint naues A tendens ad G, & B tendens ad H. ventus ex <lb/>C recta feratur ad D, tanquam ad centrum. </s>

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<s>Atque ea &longs;unt impedimenta, quorum duo &longs;ublatis for<lb/>tuitis è figurarum &longs;uperficialibus rectilineæ, è &longs;olidis cubo in&longs;unt. <lb/></s>

<s>Sit enim <lb/>ABCD <lb/><figure id="fig35"></figure><lb/><expan abbr="rectili-ne&utilde;">rectili<lb/>neum</expan> pla<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>& <expan abbr="qui-d&etilde;">qui<lb/>dem</expan> &longs;ina<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, & ad rectos in&longs;i&longs;tet rectis A C <lb/>& B D & omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s>

<s>Sit enim <lb/>ABCD <lb/><figure id="fig35"/><lb/><expan abbr="rectili-ne&utilde;">rectili<lb/>neum</expan> pla<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>& <expan abbr="qui-d&etilde;">qui<lb/>dem</expan> &longs;ina<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, & ad rectos in&longs;i&longs;tet rectis A C <lb/>& B D & omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s>

<s>Præterea aër vel <lb/>aqua medium occurrens lateri A C, quantum in &longs;e, e&longs;t impedit tot <lb/>punctis, quot &longs;unt in A C.<emph.end type="italics"/></s>

<s><emph type="italics"/>Sit & cubus A D, planum K L, vna &longs;uperficierum &longs;uarum <lb/>E D attingens, tum habeat rectas A E, C F, B D, H G, ad<emph.end type="italics"/><pb pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten-<emph.end type="italics"/><lb/><figure id="fig36"></figure><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u<lb/>perficie E D <lb/>nixu naturali <lb/>coniunctæ. </s>

<s><emph type="italics"/>Sit & cubus A D, planum K L, vna &longs;uperficierum &longs;uarum <lb/>E D attingens, tum habeat rectas A E, C F, B D, H G, ad<emph.end type="italics"/><pb pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten-<emph.end type="italics"/><lb/><figure id="fig36"/><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u<lb/>perficie E D <lb/>nixu naturali <lb/>coniunctæ. </s>

<s>Tot <lb/>vires nullo <expan abbr="t&etilde;-poris">ten<lb/>poris</expan> momento alio inclinantes &longs;e à &longs;uo &longs;tatu dimoueri &longs;inent: medio <lb/>etiam obuio &longs;eu aëre, &longs;eu aqua totidem ad latus punctis propter æqua<lb/>litatem &longs;uperficierum impediente. </s>

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<s>hinc te&longs;&longs;erarum talorumque in alueo per hanc <lb/><expan abbr="figurã">figuram</expan> planum vnum pro vertice, & planum vnum pro ba&longs;i &longs;emper <lb/><expan abbr="&longs;eruant&etilde;">&longs;eruantem</expan> ludus. </s>

<s>Sed hîc non immeritò<emph.end type="italics"/><lb/><figure id="fig37"></figure><lb/><emph type="italics"/>quæri pote&longs;t. </s>

<s>Sed hîc non immeritò<emph.end type="italics"/><lb/><figure id="fig37"/><lb/><emph type="italics"/>quæri pote&longs;t. </s>

<s>cur terræ &longs;tare debenti na<lb/>tura figuram attribuit &longs;phæricam, vt <lb/><expan abbr="doc&etilde;t">docent</expan> a&longs;tronomi. </s>

<s>vnum enim e&longs;t ex <expan abbr="ar-gum&etilde;tis">ar<lb/>gumentis</expan> Copernici terram moueri pro<lb/>bare volentis. </s>

<s>Sed id nullum locum ha<lb/>bet, quia quæ hactenus dicta &longs;unt im<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurar&utilde;">figurarum</expan> in <lb/>plano <expan abbr="nõ">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili & <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="fig38"></figure><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tenti&utilde;">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rot&utilde;dæ">rotundæ</expan> exi&longs;ten<lb/>tis æquabilius coniuncto nixu ad cen<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figuræ. </s>

<s>Sed id nullum locum ha<lb/>bet, quia quæ hactenus dicta &longs;unt im<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurar&utilde;">figurarum</expan> in <lb/>plano <expan abbr="nõ">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili & <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="fig38"/><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tenti&utilde;">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rot&utilde;dæ">rotundæ</expan> exi&longs;ten<lb/>tis æquabilius coniuncto nixu ad cen<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figuræ. </s>

<s>Sit enim cubica <lb/>cuius centrum A & B punctum an-<emph.end type="italics"/><pb pagenum="104"/><emph type="italics"/>gulare, & ita remotius quam C laterale, non tanto nixu contendet: <lb/>quam ip&longs;um C. </s>

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<s>Hoc à quacun<lb/>que vi vt or is flatu &longs;i diuidatur, &longs;phæricum in locum diui&longs;ionis pro<lb/>mouebitur.<emph.end type="italics"/></s>

<s>Rectà in&longs;i&longs;tit.] <emph type="italics"/>Diameter circuli rectà in&longs;i&longs;tere in plano di<lb/>citur cum ad omnes rectas lineas à quibus tangitur in ip&longs;o plano<emph.end type="italics"/><pb pagenum="106"/><emph type="italics"/>rectos angulos ef-<emph.end type="italics"/><lb/><figure id="fig39"></figure><lb/><emph type="italics"/>ficit ex def. </s>

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<s>Similiter maximus in &longs;phæra circulus recta <lb/>in&longs;i&longs;tens &longs;phæram bifariam di&longs;pe&longs;cit.<emph.end type="italics"/></s>

<s>Præterea nonnulli di<lb/>cunt lineam circuli in per<lb/>petuo motu e&longs;&longs;e, vt quæ <lb/>manent, propter renixum. <lb/></s>

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15. lib.

5. Diameter au<lb/>tem maior celerius mouetur, hîc autem notandum e&longs;t angulos non<emph.end type="italics"/><pb pagenum="108"/><emph type="italics"/>&longs;umi pro inclinatione: &longs;ed pro crurum<emph.end type="italics"/><lb/><figure id="fig40"></figure><lb/><emph type="italics"/><expan abbr="lõgitudine">longitudine</expan>. </s>

5. Diameter au<lb/>tem maior celerius mouetur, hîc autem notandum e&longs;t angulos non<emph.end type="italics"/><pb pagenum="108"/><emph type="italics"/>&longs;umi pro inclinatione: &longs;ed pro crurum<emph.end type="italics"/><lb/><figure id="fig40"/><lb/><emph type="italics"/><expan abbr="lõgitudine">longitudine</expan>. </s>

<s>hæc autem figura hac cir<lb/>culorum concentricorum & à cen<lb/>tris angulorum illu&longs;trantur.<emph.end type="italics"/></s>

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<s>Infiniti autem.] <emph type="italics"/>Quod infiniti circuli minores concentrici in<lb/>&longs;int in quouis dato circulo &longs;ic demon&longs;trabimus. </s>

<s>Sit circulus C B, <lb/>cuius &longs;emidiameter D B bifariam<emph.end type="italics"/><lb/><figure id="fig41"></figure><lb/><emph type="italics"/>&longs;ecetur, vt in puncto E prop.

<s>Sit circulus C B, <lb/>cuius &longs;emidiameter D B bifariam<emph.end type="italics"/><lb/><figure id="fig41"/><lb/><emph type="italics"/>&longs;ecetur, vt in puncto E prop.

10. <lb/>lib.

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<s><emph type="italics"/>Hinc collige ex leuiori materia facta, dummodo firma, agiliora e&longs;&longs;e, <lb/>& exactiora. </s>

<s>vnde petorita no&longs;tra rotis in orbita ferreis prædita <lb/>difficilius trahuntur, quam<emph.end type="italics"/><lb/><figure id="fig42"></figure><lb/><emph type="italics"/>nobilium Polonorum, quæ ex <lb/>ligno &longs;olo compacta &longs;unt.<emph.end type="italics"/></s>

<s>vnde petorita no&longs;tra rotis in orbita ferreis prædita <lb/>difficilius trahuntur, quam<emph.end type="italics"/><lb/><figure id="fig42"/><lb/><emph type="italics"/>nobilium Polonorum, quæ ex <lb/>ligno &longs;olo compacta &longs;unt.<emph.end type="italics"/></s>

<s>Non propendet.] <emph type="italics"/>Linea <lb/>nutus grauis alicuius deor<lb/>&longs;um e&longs;t recta perpendicularis <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan> plano horizontis, <expan abbr="hãc">hanc</expan> <lb/>quæ &longs;ecat ad inæquales an<lb/>gulos, e&longs;t obliqua, cuiu&longs;mo<lb/>di e&longs;t arcus B F ad rectam <lb/>B G lineam nutus puncti <lb/>B.<emph.end type="italics"/></s>

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<s>COMMENTARIVS.</s>

<s>Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytalæ e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu<lb/>los currui<emph.end type="italics"/><lb/><figure id="fig43"></figure><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi<lb/>gura A <lb/>B quæ <lb/>mota iu<lb/>go rotis annexo, contrà, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, & antror&longs;um. </s>

<s>Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytalæ e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu<lb/>los currui<emph.end type="italics"/><lb/><figure id="fig43"/><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi<lb/>gura A <lb/>B quæ <lb/>mota iu<lb/>go rotis annexo, contrà, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, & antror&longs;um. </s>

<s>quod cau&longs;a e&longs;t vt leuius vertatur, <lb/>quam rota in curru. </s>

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<s>Hæc autem annexa ligno cylindrico &longs;olas rotas habet ver&longs;atiles, quæ <lb/>quantò minores, tantò minus occur&longs;ant &longs;ubiecto pauimento. </s>

<s>vt enim <lb/>quò circulus rotæ maior e&longs;t, eò eius cum recta à qua tangitur in pla<lb/>no minor e&longs;t an-<emph.end type="italics"/><lb/><figure id="fig44"></figure><lb/><emph type="italics"/>gulus. </s>

<s>vt enim <lb/>quò circulus rotæ maior e&longs;t, eò eius cum recta à qua tangitur in pla<lb/>no minor e&longs;t an-<emph.end type="italics"/><lb/><figure id="fig44"/><lb/><emph type="italics"/>gulus. </s>

<s>Et contrà <lb/>quò circulus mi<lb/>nor, eò angulus <lb/>contactus maior <lb/>euadit. </s>

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<s>Quandoquidem membris integris, lethale tamen<emph.end type="italics"/></s>

<s><arrow.to.target n="marg27"></arrow.to.target><lb/><emph type="italics"/>vulnus importent, & &longs;ine inuidia &longs;anguinis ho&longs;tis lapidis ictu in<lb/>tereat Quæ res ideò, inquit, ab vniuer&longs;is tyronibus frequenti exerci<lb/>tio di&longs;cenda e&longs;t, quia <expan abbr="fundã">fundam</expan> portare nullus labor. </s>

<s><arrow.to.target n="marg27"/><lb/><emph type="italics"/>vulnus importent, & &longs;ine inuidia &longs;anguinis ho&longs;tis lapidis ictu in<lb/>tereat Quæ res ideò, inquit, ab vniuer&longs;is tyronibus frequenti exerci<lb/>tio di&longs;cenda e&longs;t, quia <expan abbr="fundã">fundam</expan> portare nullus labor. </s>

<s>Et interdum euenit, <lb/>vt in lapido &longs;is locis conflictus habeatur, vt aut mons aliquis &longs;it de<lb/>fendendus, aut collis, & ab oppugnatione ca&longs;tellorum &longs;iue ciuitatum <lb/>lapidibus barbari fundi&longs;que &longs;int propellendi.<emph.end type="italics"/></s>

<s><margin.target id="marg27"></margin.target>Cap.

<s><margin.target id="marg27"/>Cap.

16. lib <lb/>1. de re mili</s>

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<s><emph type="italics"/>In proiectione cum funda manus e&longs;t centrum, funda verò e&longs;t <lb/>linea à centro: & longior manu.<emph.end type="italics"/></s>

<s><emph type="italics"/>Igitur proiectio cum funda longior fiet.<emph.end type="italics"/><lb/><arrow.to.target n="marg28"></arrow.to.target></s>

<s><emph type="italics"/>Igitur proiectio cum funda longior fiet.<emph.end type="italics"/><lb/><arrow.to.target n="marg28"/></s>

<s><margin.target id="marg28"></margin.target>Cap 1. lib.

<s><margin.target id="marg28"/>Cap 1. lib.

2. <lb/>de v&longs;. </s>

<s>Manus quidem.] <emph type="italics"/>Manus apud veteres, vt videre e&longs;t apud <lb/>Gal. </s>

<s>Manus quidem.] <emph type="italics"/>Manus apud veteres, vt videre e&longs;t apud <lb/>Gal. </s>

<s>tres &longs;unt partes vna quidem brachium, alia vero<emph.end type="italics"/> <foreign lang="greek">ph/xus</foreign> <emph type="italics"/>id e&longs;t <lb/>cubitus, & tertia<emph.end type="italics"/> <foreign lang="greek">a)kro/keiron</foreign> <emph type="italics"/>hoc e&longs;t &longs;umma extremave manus. <lb/></s>

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8. Mathemat collectionum fabricam in&longs;trumenti <lb/>docet, quod huc referri debet, e&longs;t autem eiu&longs;modi. </s>

<s>vocat axem M B,<emph.end type="italics"/><lb/><figure id="fig45"></figure><lb/><emph type="italics"/><expan abbr="tympan&utilde;">tympanum</expan> C D, circa tympani <expan abbr="peripheriã&longs;cytalas">peripherian&longs;cytalas</expan> vel collopes in fora<lb/>minibus tympani F G, H F, & ct:ita, vt potentia quæ &longs;emper in <lb/>&longs;cytalis e&longs;t, vel in peripheria tympani vt in F, dum circumuertit <lb/>tympanum, & axem &longs;ur&longs;um quoque mouet pondus K axi appen&longs;um <lb/>fune M circa axem reuoluto. </s>

<s>vocat axem M B,<emph.end type="italics"/><lb/><figure id="fig45"/><lb/><emph type="italics"/><expan abbr="tympan&utilde;">tympanum</expan> C D, circa tympani <expan abbr="peripheriã&longs;cytalas">peripherian&longs;cytalas</expan> vel collopes in fora<lb/>minibus tympani F G, H F, & ct:ita, vt potentia quæ &longs;emper in <lb/>&longs;cytalis e&longs;t, vel in peripheria tympani vt in F, dum circumuertit <lb/>tympanum, & axem &longs;ur&longs;um quoque mouet pondus K axi appen&longs;um <lb/>fune M circa axem reuoluto. </s>

<s>Qui amplius videre volet, cur ab <lb/>hoc in&longs;trumento, quod axis in peritrochio vocatur, magna pondera <lb/>ab exigua virtute, quo ve etiam modo moueantur, quæ ratio tempo<lb/>ris, &longs;patÿ, potentiæ, ac moti ponderis inter &longs;e, & vt v&longs;us ip&longs;ius ad ve<lb/>ctem referatur. </s>

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<s>Scipionem Africanum minorem, & Caium Lælium cum <lb/>propter actuo&longs;am vitam animi remißioni aliquando acquie&longs;centes, <lb/>& ruri feriantes ad Caietam portum Campaniæ, Lucrinumque la<lb/>cum conchas id e&longs;t duriores te&longs;tas <expan abbr="pi&longs;ci&utilde;">pi&longs;cium</expan>, vt purpuræ, muricis, o&longs;treo<lb/>rum, & vmbilicos id e&longs;t rotundos calculos in &longs;peciem no&longs;tri vmbi-<emph.end type="italics"/></s>

<s><arrow.to.target n="marg29"></arrow.to.target><lb/><emph type="italics"/>lici puerorum more colligerent (vt recen&longs;ent Cicero & Valerius <lb/>maximus) quæ&longs;i&longs;&longs;eidem quod hî Ari&longs;toteles. </s>

<s><arrow.to.target n="marg29"/><lb/><emph type="italics"/>lici puerorum more colligerent (vt recen&longs;ent Cicero & Valerius <lb/>maximus) quæ&longs;i&longs;&longs;eidem quod hî Ari&longs;toteles. </s>

<s>Cur &longs;cilicet vmbilici <lb/>illi (crocas Ari&longs;toteles appellat) rotundi &longs;int, cum antea e&longs;&longs;ent lapi<lb/>des maiu&longs;culi minime <expan abbr="rot&utilde;di">rotundi</expan>, &longs;ed angulati, vt & partes concharum <lb/>o&longs;treorum inæquales & a&longs;peræ. </s>

<s>Quod problema licet &longs;peciale &longs;it de <lb/>crocis, generale tamen fieri pote&longs;t de omnibus non rotundis. </s>

<s>Et cau&longs;a <lb/>generalis e&longs;&longs;et hoc modo: quæcunque non &longs;unt rotunda frequenti, & <lb/>celeri, & maiori conuer &longs;ione eminentis vt anguli atteruntur, pul<lb/>&longs;ant enim ea parte magis occurrentia quælibet &longs;iue liquida, &longs;iue &longs;oli<lb/>da, & vicißim pul&longs;antur ab occurrentibus: &longs;icque &longs;ublatis per attri<lb/>tionem eminentÿs & angulis rotundantur.<emph.end type="italics"/><pb pagenum="124"/><arrow.to.target n="marg30"></arrow.to.target></s>

<s>cap.

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8.</s>

<s><margin.target id="marg30"></margin.target>Cap.

<s><margin.target id="marg30"/>Cap.

11. lib. <lb/></s>

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<s><margin.target id="marg31"></margin.target>[bis <expan abbr="dict&utilde;]">dictun]</expan> <lb/>fruftra.</s>

<s><margin.target id="marg31"/>[bis <expan abbr="dict&utilde;]">dictun]</expan> <lb/>fruftra.</s>

<s>Cur quantò ligna fue<lb/>rin<gap/> longiora, tantò fiunt <lb/>imbecilliora, & &longs;ublata <lb/>magis <expan abbr="curuãtur">curuantur</expan>, licet breue <lb/>&longs;it quod tenue, vt <expan abbr="bicubi-t&utilde;">bicubi<lb/>tum</expan>, & quod centum cubito<lb/>rum, cra&longs;&longs;um, An quia ligni <lb/>longitudo, dum attollitur, <lb/>fit vectis, pondus, & <expan abbr="hypo-mochli&utilde;">hypo<lb/>mochlium</expan>? </s>

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<s>Præ<lb/>terea percu&longs;&longs;io <expan abbr="põdus">pondus</expan> quod <lb/>percutit, & mouet <expan abbr="magn&utilde;">magnum</expan> <lb/>facit, & quia motum mo<lb/>uet celeritate valentius e&longs;t. <lb/></s>

<s>Paruo vero exi&longs;tente vecte <lb/>magnæ vires con&longs;equun<lb/>tur, ideò mouens latet præ<lb/>ratione magnitudinis.</s><figure></figure>

<s>Paruo vero exi&longs;tente vecte <lb/>magnæ vires con&longs;equun<lb/>tur, ideò mouens latet præ<lb/>ratione magnitudinis.</s><figure/>

<s>E&longs;to cuneus vbi e&longs;t <foreign lang="greek">a b <lb/>g,</foreign> quod vero cuneo fin<lb/>ditur <foreign lang="greek">d n z.</foreign> Vectis itaque <lb/>fiet <foreign lang="greek">a b,</foreign> pondus vero ip&longs;ius <lb/><foreign lang="greek">b</foreign> inferior pars: hypo<lb/>mochlium autem <foreign lang="greek">ms&sn,</foreign><lb/>huic vero contrarius ve<lb/>ctis <foreign lang="greek">b g,</foreign> tum pars <foreign lang="greek">a g</foreign> per<lb/>cu&longs;&longs;a. </s>

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<s>COMMENTARIVS.</s>

<s>Cau&longs;a pote&longs;tatis cunei.] <emph type="italics"/>Cuneus e&longs;t in&longs;trumentum ex ma<lb/>teria firma in&longs;tar pyramidis à ba&longs;i lata in angu&longs;tum fa&longs;tigia-<emph.end type="italics"/><pb pagenum="127"/><figure id="fig46"></figure><lb/><emph type="italics"/>tum. </s>

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<s>Primum quod licet cuneo <lb/>ba&longs;i &longs;ua &longs;uper plano in&longs;i&longs;tenti, pondus alioqui valde ingens impona<lb/>tur, ip&longs;um non diuidet, aut parùm, &longs;i ad diui&longs;ionem percußione fa<lb/>ctam compares. </s>

<s>Secundum &longs;i cuneo vel vectis vel cochlea vel aliud <lb/>aliquod in&longs;trumentum aptetur, vt ip&longs;e intimius propellatur, effectus <lb/>inde con&longs;equens parui erit momenti,<emph.end type="italics"/><lb/><figure id="fig47"></figure><lb/><emph type="italics"/>re&longs;pectu eius, qui à percußione pro<lb/>fici&longs;citur. </s>

<s>Secundum &longs;i cuneo vel vectis vel cochlea vel aliud <lb/>aliquod in&longs;trumentum aptetur, vt ip&longs;e intimius propellatur, effectus <lb/>inde con&longs;equens parui erit momenti,<emph.end type="italics"/><lb/><figure id="fig47"/><lb/><emph type="italics"/>re&longs;pectu eius, qui à percußione pro<lb/>fici&longs;citur. </s>

<s>Guidus V baldus commo<lb/>de hoc adfert exemplum. </s>

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<s>Paruo verò.] <emph type="italics"/>Occurrit obiectioni, quæ fit propter exiguitatem <lb/>cunei, ob idque & vectis, &longs;ed hanc dicit compen&longs;ari vehementia & <lb/>celeritate percu&longs;sionis, & quanquam ratione motus, motor exiguus <lb/>videatur, & ita lateat, magnus e&longs;t tamen viribus. </s>

<s>Sic in rebus natu-<emph.end type="italics"/><lb/><arrow.to.target n="marg32"></arrow.to.target><lb/><emph type="italics"/>ralibus, vt e&longs;t apud Galenum, paruæ molis res quædam &longs;olo tactu, <lb/>quædam exiguo mor&longs;u maximas corporibus inducunt alterationes. <lb/></s>

<s>Sic in rebus natu-<emph.end type="italics"/><lb/><arrow.to.target n="marg32"/><lb/><emph type="italics"/>ralibus, vt e&longs;t apud Galenum, paruæ molis res quædam &longs;olo tactu, <lb/>quædam exiguo mor&longs;u maximas corporibus inducunt alterationes. <lb/></s>

<s>Id quod in heraclio lapide, quem <expan abbr="magnet&etilde;">magnetem</expan> nominant, videre e&longs;t, fer<lb/>rum enim quod tetigerit, ei adhæret vel nullo adhibito vinculo: dein<lb/>de &longs;i aliud id, quod primo tactum fuerit, tetigerit, &longs;imiliter vt pri<lb/>mum, illi inhærebit, po&longs;tea tertium &longs;ecundo. </s>

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<s>Serra quoque & lima ad <lb/>hoc genus, quòd ad &longs;uos denticulos &longs;pectatreduci pote&longs;t, quot enim <lb/>denticuli totcunei, & ÿ alligati, aut continui &longs;uo vecti, id e&longs;t, manu<lb/>brio, quod pro vt longius, vel breuius e&longs;t, ita maiorem vim impul&longs;us <lb/>aut tractus obtinet.<emph.end type="italics"/></s>

<s>E&longs;to cuneus.] <emph type="italics"/>Hîc e&longs;t demon&longs;tratio linearis ad ostenden<lb/>dum cuneum diuidendo ponderi duorum vectium vicem pror&longs;us ge<lb/>rere, eorumque &longs;ibi inuicem contrariorum. </s>

<s>Sed hanc &longs;ic paulò am<lb/>plius & apertius repetemus. </s>

<s>Sit cuneus A B C cuius vertex B: <lb/>& &longs;it A B æqualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="fig48"></figure><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, & H B &longs;it <lb/>æqualis ip&longs;i B K. percu<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. </s>

<s>Sit cuneus A B C cuius vertex B: <lb/>& &longs;it A B æqualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="fig48"/><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, & H B &longs;it <lb/>æqualis ip&longs;i B K. percu<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. </s>

<s>Dum cuneus in <lb/>A C percutitur, A B fit <lb/>vectis, cuius hypomoch<lb/>lium e&longs;t H, & pondus in <lb/>B, eodemque modo C B <lb/>fit vectis, cuius hypomo<lb/>chlium e&longs;t K, & pondus &longs;imiliter in B. </s>

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<s>Quod vt intelligatur. </s>

<s>Sit cuneus A B C circa<emph.end type="italics"/></s><figure></figure>

<s>Sit cuneus A B C circa<emph.end type="italics"/></s><figure/>

<s>Cochlea &longs;ine matrice.<lb/><emph type="italics"/>cylindrum D E, qui &longs;ine <expan abbr="impedim&etilde;to">impedimento</expan> verti poßit per vectem K F<emph.end type="italics"/><pb pagenum="132"/><emph type="italics"/>cylindri axi an-<emph.end type="italics"/></s><figure></figure>

<s>Cochlea cum matrice.<lb/><emph type="italics"/>nexum: pondus <lb/>mouendum &longs;it <lb/>L M N O ex <lb/>parte M N im<lb/>mobile, vt in <lb/>his quæ <expan abbr="&longs;cind&umacr;-tur">&longs;cindun<lb/>tur</expan>, fieri &longs;olet: <lb/>cunei vero vertex A &longs;it intra rimam R S. </s>

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<s>Totum ergo L M N O &longs;cindetur. </s>

<s>Nam dum rur&longs;us vectis K <lb/>P peruenerit ad K Q, tunc B C erit intra R S, erit R &longs;iquidem <lb/>in X & S in E, vt X E &longs;it æqualis B C: &longs;emperque conti<lb/>nuato cuneo progredienteque A vertice vltrà, pondus L M N O, <lb/>&longs;cindetur, vel pondus G mobile impelletur, attrahetur, attolletur,<emph.end type="italics"/><lb/><figure id="fig49"></figure><lb/><emph type="italics"/>prout cylindrus cochleæ po&longs;itus erit ad planum horizontis cum &longs;ua, <lb/>vel &longs;inefcemina &longs;eu matrice. </s>

<s>Nam dum rur&longs;us vectis K <lb/>P peruenerit ad K Q, tunc B C erit intra R S, erit R &longs;iquidem <lb/>in X & S in E, vt X E &longs;it æqualis B C: &longs;emperque conti<lb/>nuato cuneo progredienteque A vertice vltrà, pondus L M N O, <lb/>&longs;cindetur, vel pondus G mobile impelletur, attrahetur, attolletur,<emph.end type="italics"/><lb/><figure id="fig49"/><lb/><emph type="italics"/>prout cylindrus cochleæ po&longs;itus erit ad planum horizontis cum &longs;ua, <lb/>vel &longs;inefcemina &longs;eu matrice. </s>

<s>Quod &longs;irur&longs;us cochleæ <expan abbr="tympan&umacr;rectè">tympanurrectè</expan><emph.end type="italics"/><pb pagenum="133"/><emph type="italics"/>vel obliquè denticulatum, ita vt helici facilè congruat, aptetur: ma<lb/>nife&longs;tum e&longs;t, quod ad motum cochleæ etiam tympani C dentes &longs;uper <lb/>helicem cochleæ ad infinitum <expan abbr="circumuert&etilde;tur">circumuertentur</expan>. </s>

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<s>Porrò cochleæ vi <lb/>& beneficio admirabile certè quanta pondera moueantur. </s>

<s>Refert<emph.end type="italics"/><lb/><arrow.to.target n="marg33"></arrow.to.target><lb/><emph type="italics"/>Mun&longs;terus Ba&longs;ileæ &longs;e vidi&longs;&longs;e longißimas &longs;udes præacutis ferreis ro<lb/>&longs;tris munitas olim in fundum profundi&longs;simè actas auelli. </s>

<s>Refert<emph.end type="italics"/><lb/><arrow.to.target n="marg33"/><lb/><emph type="italics"/>Mun&longs;terus Ba&longs;ileæ &longs;e vidi&longs;&longs;e longißimas &longs;udes præacutis ferreis ro<lb/>&longs;tris munitas olim in fundum profundi&longs;simè actas auelli. </s>

<s>Quinetiam <lb/>aliquando integras domos ex lignis compaginatas in &longs;ublime &longs;uble<lb/>uari & cylindris aliquot &longs;ubmi&longs;sis aliò deferri: &longs;ed & homi&nacute;um <lb/>v&longs;u propemodum immen&longs;o quotidie experimur, quantum valeat <lb/>torquendo & premendo, dum vinum, oleum, &longs;uccos quo&longs;libet à <lb/>&longs;uis fructibus exprimimus, & hone&longs;tam v&longs;uram dominis &longs;uis <lb/>per&longs;oluere cogimus, ita ad vltimum quadrantem v&longs;que, vt à pu<lb/>mice po&longs;tea aquam citius extrahas: quam à fæcibus reliquis &longs;uc<lb/>cum aliquem. </s>

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<s>Alterum <lb/>quia e&longs;t vectis, quo cochlea circumuertitur, qui etiam quò longior, eò <lb/>facilius: &longs;ed etiam tardius mouet.<emph.end type="italics"/></s>

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<s>Tota enim particula contextus huius<emph.end type="italics"/> <foreign lang="greek">e)/xon to\ <lb/>ar)/thma e)k <gap/>ate/rou t<gap/> cu/lwn, <gap/>a/teron de\ h)_ w_<gap/>serhreimu/on h)\ w_<gap/><lb/>se<gap/>u/on <gap/> ta\s t<gap/>oxali/as,</foreign> <emph type="italics"/>mendo&longs;a meo iudicio e&longs;t. </s>

<s>Quid enim <lb/>e&longs;t habere lorum quod dependeat, ab altero tignorum: alterum vero <lb/>e&longs;&longs;e infixum, & appo&longs;itum ad trochleas, quid e&longs;t illud alterum, quod <lb/>dicitur infigi, & apponi<emph.end type="italics"/><lb/><figure id="fig50"></figure><lb/><emph type="italics"/>ad trochleas, intelligi certè <lb/>non pote&longs;t. </s>

<s>Quid enim <lb/>e&longs;t habere lorum quod dependeat, ab altero tignorum: alterum vero <lb/>e&longs;&longs;e infixum, & appo&longs;itum ad trochleas, quid e&longs;t illud alterum, quod <lb/>dicitur infigi, & apponi<emph.end type="italics"/><lb/><figure id="fig50"/><lb/><emph type="italics"/>ad trochleas, intelligi certè <lb/>non pote&longs;t. </s>

<s>Si igitur quid <lb/>rei natura, & v&longs;us o&longs;ten<lb/>dat, ponamus: illam parti<lb/>culam &longs;ic <expan abbr="cõmutabimus">commutabimus</expan>, <lb/>vt dicamus vnam è dua<lb/>bus trochleis habere <expan abbr="lor&utilde;">lorum</expan>, <lb/>quod dependeat ab altero <lb/>vel vtroque tignorum: al<lb/>teri vero infixum & <expan abbr="ap-po&longs;it&utilde;">ap<lb/>po&longs;itum</expan> e&longs;&longs;e pondus trahen<lb/>dum vel attollendum. </s>

<s>Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D & E F<emph.end type="italics"/><lb/><figure id="fig51"></figure><lb/><emph type="italics"/>(plura duobus vt tria, & qua<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int & <lb/>duæ trochleæ A & B, qua<lb/>rum altera A ad vtrumque ti<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon<lb/>dus G, tracto loro ab ini<lb/>tio vbi I, pondus G cum tro<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/></s>

<s>Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D & E F<emph.end type="italics"/><lb/><figure id="fig51"/><lb/><emph type="italics"/>(plura duobus vt tria, & qua<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int & <lb/>duæ trochleæ A & B, qua<lb/>rum altera A ad vtrumque ti<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon<lb/>dus G, tracto loro ab ini<lb/>tio vbi I, pondus G cum tro<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/></s>

<s><emph type="italics"/>Vel etiam &longs;it trochlea in<lb/>ferior in qua orbiculi duo cui <lb/>pondus A per vncum apponi<lb/>tur, &longs;uperior in qua duo item or<lb/>biculi. </s>

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<s>In X autem &longs;it <lb/>harpago ad apprehendendum pondus E attollendum vel deprimen<lb/>dum. </s>

<s>Si eni<gap/> extremum L ab harpagone V liberetur, & ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb pagenum="138"/><figure id="fig52"></figure><lb/><emph type="italics"/>&longs;patÿ, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. </s>

<s>Si eni<gap/> extremum L ab harpagone V liberetur, & ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb pagenum="138"/><figure id="fig52"/><lb/><emph type="italics"/>&longs;patÿ, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. </s>

<s>Tanti erunt autem, <lb/>quantos loci, ad quem de&longs;cendere, vel <lb/>è quo educere volumus, profunditas, <lb/>po&longs;tulat. </s>

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<s><emph type="italics"/>Gulielmus Blancus Albien&longs;i. </s>

<s>Sancti&longs;&longs;imæ Cruci &longs;acra<lb/>uit Sixtus V. Pont. </s>

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<s>Ne igi<lb/>tur nimis den&longs;etur, cogitur in poros ingredi &longs;ubiecti ligni, at que cu<lb/>nei vice diuidere illud. </s>

<s>Indicio e&longs;t, inquit, quod paulo tardior ictus<emph.end type="italics"/><lb/><arrow.to.target n="marg34"></arrow.to.target><lb/><emph type="italics"/>maximum in diuidendo di&longs;crimen adfert dilabente aëre. </s>

<s>Indicio e&longs;t, inquit, quod paulo tardior ictus<emph.end type="italics"/><lb/><arrow.to.target n="marg34"/><lb/><emph type="italics"/>maximum in diuidendo di&longs;crimen adfert dilabente aëre. </s>

<s>Solutionem <lb/>hanc reprehendit Scaliger, con&longs;entitque cum Ari&longs;totele motum mo-<emph.end type="italics"/><lb/><arrow.to.target n="marg35"></arrow.to.target><lb/><emph type="italics"/>uere, & &longs;ecurim, &longs;i comprimatur manu, &longs;ecare propter nixum: multo <lb/>magis &longs;i ictu adigatur, & ex Ioanne Iucundo proponit aliud proble<lb/>ma dignum quæ&longs;itu. </s>

<s>Solutionem <lb/>hanc reprehendit Scaliger, con&longs;entitque cum Ari&longs;totele motum mo-<emph.end type="italics"/><lb/><arrow.to.target n="marg35"/><lb/><emph type="italics"/>uere, & &longs;ecurim, &longs;i comprimatur manu, &longs;ecare propter nixum: multo <lb/>magis &longs;i ictu adigatur, & ex Ioanne Iucundo proponit aliud proble<lb/>ma dignum quæ&longs;itu. </s>

<s>Quot pondo proportionem habeat pugnus ho<lb/>minis ferientis, cum &longs;eip&longs;o non feriente comparatus.<emph.end type="italics"/></s><pb pagenum="146"/>

<s><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s>

<s>17. de <lb/>&longs;ubt.</s>

<s><margin.target id="marg35"/>Exerc. </s>

<s><margin.target id="marg35"></margin.target>Exerc. </s>

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<s>De &longs;tateris.] <foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>apud Græcos multa &longs;ignificat vt in<lb/>ternodium in digitis, ordinem & agmem militare longius <lb/>quam latius, ligna teretia, quibus naues in mare deuoluuntur: &longs;ed hîc<emph.end type="italics"/><pb pagenum="147"/><emph type="italics"/>&longs;ignificat libræ genus, quod trutina, ab alÿs &longs;tatera appellatur. </s>

<s>Huitis <lb/>partes quatuor &longs;unt A B &longs;capus, C D an&longs;a, A E harpago vel <lb/>lanx, F G<emph.end type="italics"/><lb/><figure id="fig53"></figure><lb/><emph type="italics"/><expan abbr="æquipõdium">æquipondium</expan> <lb/>Græcis di<lb/>ctum<emph.end type="italics"/> <foreign lang="greek">sfai/<lb/>rwma</foreign> <emph type="italics"/>no&longs;tris <lb/>Marcum vel <lb/><expan abbr="Roman&utilde;">Romanum</expan>. </s>

<s>Huitis <lb/>partes quatuor &longs;unt A B &longs;capus, C D an&longs;a, A E harpago vel <lb/>lanx, F G<emph.end type="italics"/><lb/><figure id="fig53"/><lb/><emph type="italics"/><expan abbr="æquipõdium">æquipondium</expan> <lb/>Græcis di<lb/>ctum<emph.end type="italics"/> <foreign lang="greek">sfai/<lb/>rwma</foreign> <emph type="italics"/>no&longs;tris <lb/>Marcum vel <lb/><expan abbr="Roman&utilde;">Romanum</expan>. </s>

<s>Vi <lb/>truuius dixit inuentam fui&longs;&longs;e &longs;tateram, vt ab iniquitate iu&longs;tis mori<lb/>bus hominum vita vindicetur. </s>

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<s><emph type="italics"/>Statera certe multæ &longs;unt libræ actu & pote&longs;tate. </s>

<s>Et primum actu <lb/>cum an&longs;æ (&longs;ic enim<emph.end type="italics"/> <foreign lang="greek">ta\ <gap/>ar/tia</foreign> <emph type="italics"/>exprimi debere declarant multi <lb/>huius contextus loci inter &longs;e comparati) plures &longs;unt in vno &longs;capo, vt <lb/>duæ, quod frequentißimum, vel tres, quod rarius: cuiu&longs;modi &longs;unt in <lb/>A B &longs;capo<emph.end type="italics"/><lb/><figure id="fig54"></figure><lb/><emph type="italics"/>duæ C D, E F <lb/>quarum pro<lb/>piore lanci, <lb/>qui vtuntur, <lb/>pondera ad <lb/><expan abbr="craßior&etilde;">craßiorem</expan> tru<lb/>tinam &longs;e ex<lb/>pendere dicunt. </s>

<s>Et primum actu <lb/>cum an&longs;æ (&longs;ic enim<emph.end type="italics"/> <foreign lang="greek">ta\ <gap/>ar/tia</foreign> <emph type="italics"/>exprimi debere declarant multi <lb/>huius contextus loci inter &longs;e comparati) plures &longs;unt in vno &longs;capo, vt <lb/>duæ, quod frequentißimum, vel tres, quod rarius: cuiu&longs;modi &longs;unt in <lb/>A B &longs;capo<emph.end type="italics"/><lb/><figure id="fig54"/><lb/><emph type="italics"/>duæ C D, E F <lb/>quarum pro<lb/>piore lanci, <lb/>qui vtuntur, <lb/>pondera ad <lb/><expan abbr="craßior&etilde;">craßiorem</expan> tru<lb/>tinam &longs;e ex<lb/>pendere dicunt. </s>

<s>quod huius notæ longius inter&longs;e di&longs;tent: qui vero re<lb/>motiore, ad &longs;ubtiliorem, vt in qua notæ minus di&longs;tent in lateribus <lb/>&longs;capi &longs;ignatæ. </s>

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<s>quod apponitur in libra <lb/>ad æquilibrium faciendum. </s>

<s>Vnde & apud Vitruuium legimus re-<emph.end type="italics"/><lb/><arrow.to.target n="marg36"></arrow.to.target><lb/><emph type="italics"/>demptorem ad tempus opus manufactum &longs;ubtiliter regi approba<lb/>ui&longs;&longs;e, & ad &longs;acoma pondus coronæ vi&longs;um e&longs;&longs;e præ&longs;titi&longs;&longs;e. </s>

<s>Vnde & apud Vitruuium legimus re-<emph.end type="italics"/><lb/><arrow.to.target n="marg36"/><lb/><emph type="italics"/>demptorem ad tempus opus manufactum &longs;ubtiliter regi approba<lb/>ui&longs;&longs;e, & ad &longs;acoma pondus coronæ vi&longs;um e&longs;&longs;e præ&longs;titi&longs;&longs;e. </s>

<s>Cæterum <lb/>quam rationem habeat æquipondium ad &longs;e&longs;e pro varÿs inter&longs;titüs, <lb/>quibus remouetur ab an&longs;a, colligi pote&longs;t ex V baldo per corollarium <lb/>quod deduxit è prop.

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<s>Ma<lb/>nife&longs;tum e&longs;t quò pondus à centro libræ magis di&longs;tat, eò grauius e&longs;&longs;e, <lb/>& per con&longs;equens velocius moueri. </s>

<s>Et æquipondÿ grauitatem in <lb/>vno loco ad grauitatem eiu&longs;dem in altero, eam rationem habere per <lb/>experientiam noui&longs;&longs;e &longs;e dicit Cardanus, quam habet remotio ad re-<emph.end type="italics"/><lb/><arrow.to.target n="marg37"></arrow.to.target><lb/><emph type="italics"/><expan abbr="motion&etilde;">motionem</expan>.<emph.end type="italics"/><lb/><figure id="fig55"></figure><lb/><emph type="italics"/>vt &longs;i æqui <lb/><expan abbr="pondi&utilde;">pondium</expan> K <lb/>in D ele<lb/>uet libras <lb/>20. & in <lb/>E 25. ele<lb/>uabit in F <lb/>30. In G 35. In H 40. Sic æquali &longs;patio æquale <expan abbr="acquir&etilde;s">acquirens</expan> <expan abbr="augment&utilde;">augmentum</expan>.<emph.end type="italics"/></s>

<s>Et æquipondÿ grauitatem in <lb/>vno loco ad grauitatem eiu&longs;dem in altero, eam rationem habere per <lb/>experientiam noui&longs;&longs;e &longs;e dicit Cardanus, quam habet remotio ad re-<emph.end type="italics"/><lb/><arrow.to.target n="marg37"/><lb/><emph type="italics"/><expan abbr="motion&etilde;">motionem</expan>.<emph.end type="italics"/><lb/><figure id="fig55"/><lb/><emph type="italics"/>vt &longs;i æqui <lb/><expan abbr="pondi&utilde;">pondium</expan> K <lb/>in D ele<lb/>uet libras <lb/>20. & in <lb/>E 25. ele<lb/>uabit in F <lb/>30. In G 35. In H 40. Sic æquali &longs;patio æquale <expan abbr="acquir&etilde;s">acquirens</expan> <expan abbr="augment&utilde;">augmentum</expan>.<emph.end type="italics"/></s>

<s><margin.target id="marg36"></margin.target>Cap.

<s><margin.target id="marg36"/>Cap.

3. lib.</s>

<s>Arich</s>

<s><emph type="italics"/>Et quidem &longs;tateræ ratio demon&longs;trari pote&longs;t. </s>

<s>Sit &longs;tateræ &longs;capus <lb/>H B cu-<emph.end type="italics"/><lb/><figure id="fig56"></figure><lb/><emph type="italics"/>ius an&longs;a <lb/>&longs;it A C, <lb/>& eius <lb/>æquipon<lb/>dium E, <lb/>appenda<lb/>tur vero <lb/>ex H <expan abbr="põ-dus">pon<lb/>dus</expan> D, <lb/>quod æquiponderet æquipondio E in F appen&longs;o. </s>

<s>Sit &longs;tateræ &longs;capus <lb/>H B cu-<emph.end type="italics"/><lb/><figure id="fig56"/><lb/><emph type="italics"/>ius an&longs;a <lb/>&longs;it A C, <lb/>& eius <lb/>æquipon<lb/>dium E, <lb/>appenda<lb/>tur vero <lb/>ex H <expan abbr="põ-dus">pon<lb/>dus</expan> D, <lb/>quod æquiponderet æquipondio E in F appen&longs;o. </s>

<s>Aliud quoque pon<lb/>dus G appendatur in H, quod etiam æquipondio in B appen&longs;o. <lb/></s>

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<s>I gitur ad <expan abbr="ex&etilde;ptio-n&etilde;">exemptio<lb/>nem</expan>, vt facili^{9} <expan abbr="dimoueãt">dimoueant</expan>, hoc <lb/>vtuntur organo. </s>

<s>Sit enim <pb pagenum="153"/><gap/><lb/>dentiduci extremum alte<lb/><figure id="fig57"></figure><lb/>rum <foreign lang="greek">a,</foreign> alterum <foreign lang="greek">b,</foreign> quod <lb/>eximit, vectis vero <foreign lang="greek">a q z,</foreign><lb/>& alter vectis <foreign lang="greek">b g e</foreign>: hypo<lb/>mochlium verò <foreign lang="greek">q</foreign> vbi e&longs;t <expan abbr="cõ-mi&longs;&longs;ura">con<lb/>mi&longs;&longs;ura</expan>: <expan abbr="d&etilde;s">dens</expan> verò <expan abbr="põdus">pondus</expan> e&longs;t. <lb/></s>

<s>Sit enim <pb pagenum="153"/><gap/><lb/>dentiduci extremum alte<lb/><figure id="fig57"/><lb/>rum <foreign lang="greek">a,</foreign> alterum <foreign lang="greek">b,</foreign> quod <lb/>eximit, vectis vero <foreign lang="greek">a q z,</foreign><lb/>& alter vectis <foreign lang="greek">b g e</foreign>: hypo<lb/>mochlium verò <foreign lang="greek">q</foreign> vbi e&longs;t <expan abbr="cõ-mi&longs;&longs;ura">con<lb/>mi&longs;&longs;ura</expan>: <expan abbr="d&etilde;s">dens</expan> verò <expan abbr="põdus">pondus</expan> e&longs;t. <lb/></s>

<s>Vtroque igitur extremo <foreign lang="greek">b <lb/>& z</foreign> &longs;imul capiens dimouet: <lb/>quando vero emotus fuerit, manu facilius: quam in&longs;tru<lb/>mento eximetur.</s>

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<s>COMMENTARIVS.</s>

<s>De in&longs;trumentis.] <emph type="italics"/>In&longs;trumentum ad frangendum nuces <lb/>pote&longs;t appellari nucifrangibulum, & hoc non differt à forcipe <lb/>ni&longs;i quia leuiter in extremis excauatur ad excipiendum nucem fran<lb/>gendam commodius, Huiu&longs;mo-<emph.end type="italics"/><lb/><figure id="fig58"></figure><lb/><emph type="italics"/>di e&longs;t F A C E A B.<emph.end type="italics"/></s>

<s>De in&longs;trumentis.] <emph type="italics"/>In&longs;trumentum ad frangendum nuces <lb/>pote&longs;t appellari nucifrangibulum, & hoc non differt à forcipe <lb/>ni&longs;i quia leuiter in extremis excauatur ad excipiendum nucem fran<lb/>gendam commodius, Huiu&longs;mo-<emph.end type="italics"/><lb/><figure id="fig58"/><lb/><emph type="italics"/>di e&longs;t F A C E A B.<emph.end type="italics"/></s>

<s>Cur facilius.] <emph type="italics"/>Quæritur <lb/>cur nucifrangibulum ab&longs;que ictu <lb/>facillimè frangat nucem. </s>

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<s>Cur amborum extremo<lb/>rum <expan abbr="p&utilde;ctorum">punctorum</expan> duabus la<lb/>tionibus in rhombo lato<lb/>rum, alterum non tran&longs;it <lb/>æqualem rectam. </s>

<s>&longs;ed alte<pb pagenum="158"/><gap/><lb/><arrow.to.target n="marg38"></arrow.to.target><lb/>rum plus. </s>

<s>&longs;ed alte<pb pagenum="158"/><gap/><lb/><arrow.to.target n="marg38"/><lb/>rum plus. </s>

<s>Idem e&longs;t &longs;ermo <lb/>quare motum &longs;uper latere <lb/>minorem tran&longs;it <expan abbr="rectã">rectam</expan>: <expan abbr="quã">quam</expan> <lb/>latus. </s>

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<s>Simile igitur <lb/>ip&longs;um <foreign lang="greek">a</foreign> ip&longs;am <foreign lang="greek">a d</foreign> multò <lb/><expan abbr="maior&etilde;">maiorem</expan> ip&longs;a <foreign lang="greek">b g</foreign> pertran&longs;it, <lb/>& latus <expan abbr="mot&utilde;">motum</expan> eadem celeri<lb/>tate <expan abbr="minor&etilde;">minorem</expan> <expan abbr="lineã">lineam</expan> [tran&longs;it.] <lb/>Et latus <foreign lang="greek">b d</foreign> vna lationc <lb/>motum pertran&longs;ijt lineam <lb/>maiorem: quam <foreign lang="greek">b g.</foreign> <expan abbr="quãtò">quantò</expan> <lb/>enim acutior e&longs;t Rhombus, <lb/>diameter <expan abbr="quid&etilde;">quidem</expan> <foreign lang="greek">b g</foreign> fit mi<lb/>nor, <foreign lang="greek">a d</foreign> vero maior, <expan abbr="t&utilde;">tum</expan> & la<lb/>tus <foreign lang="greek">a b</foreign> maius quam <foreign lang="greek">b g.</foreign></s>

<s><margin.target id="marg38"></margin.target>Quidam le<lb/>gunt <foreign lang="greek">lo/gw</foreign><lb/>pro <foreign lang="greek">ta/xei.</foreign></s>

<s><margin.target id="marg38"/>Quidam le<lb/>gunt <foreign lang="greek">lo/gw</foreign><lb/>pro <foreign lang="greek">ta/xei.</foreign></s>

<s>COMMENTARIVS.</s>

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<s><expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> duo &longs;unt acuti, reliqui obtu&longs;i, vt &longs;it <lb/><expan abbr="Rhõbus">Rhombus</expan><emph.end type="italics"/> <foreign lang="greek">a b d g,</foreign> <emph type="italics"/>cuius anguli oppo&longs;iti<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>&longs;int acuti:<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>vero<emph.end type="italics"/><pb pagenum="160"/><emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>obtu&longs;i. </s>

<s>Coneipiamus ergo<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tan-<emph.end type="italics"/><lb/><figure id="fig59"></figure><lb/><emph type="italics"/>quam formicam ambulantem proprio <lb/>motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b,</foreign> <emph type="italics"/>vt &<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>proprio iti<lb/>dem motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">a.</foreign> <emph type="italics"/>Tum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">a b</foreign><lb/><emph type="italics"/>latus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">g d,</foreign> <emph type="italics"/>eadem etiam celerita<lb/>te moueri &longs;eruando paralleli&longs;mum, cum <lb/>ip&longs;o<emph.end type="italics"/> <foreign lang="greek">g d</foreign> <emph type="italics"/>quou&longs;que coniungatur ei. </s>

<s>Coneipiamus ergo<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tan-<emph.end type="italics"/><lb/><figure id="fig59"/><lb/><emph type="italics"/>quam formicam ambulantem proprio <lb/>motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b,</foreign> <emph type="italics"/>vt &<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>proprio iti<lb/>dem motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">a.</foreign> <emph type="italics"/>Tum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">a b</foreign><lb/><emph type="italics"/>latus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">g d,</foreign> <emph type="italics"/>eadem etiam celerita<lb/>te moueri &longs;eruando paralleli&longs;mum, cum <lb/>ip&longs;o<emph.end type="italics"/> <foreign lang="greek">g d</foreign> <emph type="italics"/>quou&longs;que coniungatur ei. </s>

<s>Ad <lb/>huius autem <expan abbr="mot&utilde;">motum</expan> moueri etiam<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ver<lb/>&longs;us<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us<emph.end type="italics"/> <foreign lang="greek">d.</foreign> <emph type="italics"/>Sicque<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>mouebuntur duobus motibus, vno per &longs;e: <lb/>altero per accidens. </s>

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<s>Etlatus <foreign lang="greek">b d.</foreign>] <emph type="italics"/>Attingit &longs;ecundum problema quod generaliter <lb/>verum non e&longs;t. </s>

<s>In Rhombo enim cuius, qui acutus e&longs;t angulus, maior <lb/>e&longs;t dimidio obtu&longs;i, vt in E<emph.end type="italics"/><lb/><figure id="fig60"></figure><lb/><emph type="italics"/>F G H: quia F H an<lb/>gulum E maiorem &longs;ubten<lb/>dit: quam E H, erit F H <lb/>maior E H prop.

<s>In Rhombo enim cuius, qui acutus e&longs;t angulus, maior <lb/>e&longs;t dimidio obtu&longs;i, vt in E<emph.end type="italics"/><lb/><figure id="fig60"/><lb/><emph type="italics"/>F G H: quia F H an<lb/>gulum E maiorem &longs;ubten<lb/>dit: quam E H, erit F H <lb/>maior E H prop.

18. lib.

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<s>Atqui<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> <emph type="italics"/>ab angulo obtu&longs;o motum duorum motuum vno ad<emph.end type="italics"/> <foreign lang="greek">a,</foreign> <emph type="italics"/>alte<lb/>ro ad<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>tendens ad magis contrarios terminos tendit: quam<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ten<lb/>dens dictis motibus ad<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">g.</foreign> <emph type="italics"/>E&longs;t enim, vt antea demon&longs;tratum <lb/>e&longs;t,<emph.end type="italics"/> <foreign lang="greek">a d</foreign> <emph type="italics"/>diameter & recta maior: quam<emph.end type="italics"/> <foreign lang="greek">g d.</foreign> <emph type="italics"/>Et quò<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>acutior <lb/>erit angulus, eò<emph.end type="italics"/> <foreign lang="greek">a d</foreign> <emph type="italics"/>maior erit ergo æquum e&longs;t, vt<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> <emph type="italics"/>tardius fera<lb/>tur: quam<emph.end type="italics"/> <foreign lang="greek">a.</foreign> <emph type="italics"/>Et quidem tantò tardius: quantò<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> <emph type="italics"/>erit obtu&longs;ior angu<lb/>lus, &<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>acutior ob cau&longs;am prædictam.<emph.end type="italics"/></s>

<s>Fere ad idem.] <emph type="italics"/>Particula<emph.end type="italics"/> <foreign lang="greek">sxedo\n</foreign> <emph type="italics"/>ferè ad-<emph.end type="italics"/><lb/><figure id="fig61"></figure><lb/><emph type="italics"/>iecta indicat non eundem e&longs;&longs;e terminum vtriu&longs;<lb/>que motionis, qua fertur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>: &longs;ed duos diuer&longs;os, ve<lb/>rum propiores, quam &longs;int termini ad quos<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign><lb/><emph type="italics"/>fertur.<emph.end type="italics"/></s>

<s>Fere ad idem.] <emph type="italics"/>Particula<emph.end type="italics"/> <foreign lang="greek">sxedo\n</foreign> <emph type="italics"/>ferè ad-<emph.end type="italics"/><lb/><figure id="fig61"/><lb/><emph type="italics"/>iecta indicat non eundem e&longs;&longs;e terminum vtriu&longs;<lb/>que motionis, qua fertur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>: &longs;ed duos diuer&longs;os, ve<lb/>rum propiores, quam &longs;int termini ad quos<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign><lb/><emph type="italics"/>fertur.<emph.end type="italics"/></s>

<s>Rectior enim linea.] <emph type="italics"/>Id e&longs;t duo latera<emph.end type="italics"/> <foreign lang="greek"><gap/> a</foreign><lb/><emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek"><gap/> d</foreign> <emph type="italics"/>magis accedunt ad rectam vnam, vtpo<lb/>te quia angulus obtu&longs;us &longs;i augeatur plu&longs;culum, <lb/>latera ip&longs;um continentia fient è directo: & tunc<emph.end type="italics"/><pb pagenum="164"/><emph type="italics"/>erunt vna omnino recta, quod vbi e&longs;&longs;et, vt cum<emph.end type="italics"/> <foreign lang="greek">b a</foreign> <emph type="italics"/>peruenit ad<emph.end type="italics"/> <foreign lang="greek">b <lb/>l,</foreign> <emph type="italics"/>tunc lationes<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">l,</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>e&longs;&longs;ent ad contrarios omnino <lb/>terminos.<emph.end type="italics"/></s>

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<s>Attamen quod circa.] <emph type="italics"/>Problematis propo &longs;iti veritas demon<lb/>&longs;tratur figura geometrica in vtroque modo. </s>

<s>Nam po&longs;ito quod<emph.end type="italics"/> <foreign lang="greek">a h z</foreign><lb/><emph type="italics"/>perpendiculariter in&longs;i&longs;tat pla-<emph.end type="italics"/><lb/><figure id="fig62"></figure><lb/><emph type="italics"/>no, & ad rectam<emph.end type="italics"/> <foreign lang="greek">z i.</foreign> <emph type="italics"/>Tum<emph.end type="italics"/> <foreign lang="greek">h q</foreign><lb/><emph type="italics"/>rectos angulos faciat, &longs;icque il<lb/>las tangat in punctis<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">z,</foreign><lb/><emph type="italics"/>cum quarta pars peripheriæ<emph.end type="italics"/> <foreign lang="greek">h b</foreign><lb/><emph type="italics"/>orit reuoluta: ita vt<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>rur<lb/>&longs;us ad rectos &longs;it ad rectam<emph.end type="italics"/> <foreign lang="greek">h q,</foreign><lb/><emph type="italics"/>ip&longs;amque tangat, vt in puncto<emph.end type="italics"/><lb/><foreign lang="greek">k</foreign>: <emph type="italics"/>tunc &<emph.end type="italics"/> <foreign lang="greek">a g</foreign> <emph type="italics"/>etiam ad re<lb/>ctos erit &longs;uper<emph.end type="italics"/> <foreign lang="greek">z i,</foreign> <emph type="italics"/>& &longs;it vt <lb/>tangat in puncto<emph.end type="italics"/> <foreign lang="greek">l.</foreign> <emph type="italics"/>Erunt pro <lb/>29. prop.

<s>Nam po&longs;ito quod<emph.end type="italics"/> <foreign lang="greek">a h z</foreign><lb/><emph type="italics"/>perpendiculariter in&longs;i&longs;tat pla-<emph.end type="italics"/><lb/><figure id="fig62"/><lb/><emph type="italics"/>no, & ad rectam<emph.end type="italics"/> <foreign lang="greek">z i.</foreign> <emph type="italics"/>Tum<emph.end type="italics"/> <foreign lang="greek">h q</foreign><lb/><emph type="italics"/>rectos angulos faciat, &longs;icque il<lb/>las tangat in punctis<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">z,</foreign><lb/><emph type="italics"/>cum quarta pars peripheriæ<emph.end type="italics"/> <foreign lang="greek">h b</foreign><lb/><emph type="italics"/>orit reuoluta: ita vt<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>rur<lb/>&longs;us ad rectos &longs;it ad rectam<emph.end type="italics"/> <foreign lang="greek">h q,</foreign><lb/><emph type="italics"/>ip&longs;amque tangat, vt in puncto<emph.end type="italics"/><lb/><foreign lang="greek">k</foreign>: <emph type="italics"/>tunc &<emph.end type="italics"/> <foreign lang="greek">a g</foreign> <emph type="italics"/>etiam ad re<lb/>ctos erit &longs;uper<emph.end type="italics"/> <foreign lang="greek">z i,</foreign> <emph type="italics"/>& &longs;it vt <lb/>tangat in puncto<emph.end type="italics"/> <foreign lang="greek">l.</foreign> <emph type="italics"/>Erunt pro <lb/>29. prop.

lib.

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<s>Et vt plus moueatur: quam <lb/>quod mouet, fieri non po<lb/>te&longs;t. </s>

<s>Non enim &longs;uo ip&longs;ius <lb/>mouetur motu: &longs;ed <expan abbr="mou&etilde;-">mouen<lb/></expan><arrow.to.target n="marg39"></arrow.to.target><lb/>tis. [Sit igitur circul^{9} maior <lb/><expan abbr="quid&etilde;">quidem</expan> vbi <foreign lang="greek">g,</foreign> at minor vbi <lb/><gap/>.] Si impeliat minor <expan abbr="maio-r&etilde;">maio<lb/>rem</expan> ip&longs;o &longs;e minime <expan abbr="volu&etilde;te">voluente</expan>, <lb/>manife&longs;tum quod tantam <lb/><expan abbr="rectã">rectam</expan> maior tran&longs;it, ad <expan abbr="quã-tam">quan<lb/>tam</expan> à minore impul&longs;us e&longs;t: <lb/>ad tantam verò impul&longs;us <lb/>e&longs;t, ad quantam minor &longs;e <lb/>mouit. </s>

<s>Non enim &longs;uo ip&longs;ius <lb/>mouetur motu: &longs;ed <expan abbr="mou&etilde;-">mouen<lb/></expan><arrow.to.target n="marg39"/><lb/>tis. [Sit igitur circul^{9} maior <lb/><expan abbr="quid&etilde;">quidem</expan> vbi <foreign lang="greek">g,</foreign> at minor vbi <lb/><gap/>.] Si impeliat minor <expan abbr="maio-r&etilde;">maio<lb/>rem</expan> ip&longs;o &longs;e minime <expan abbr="volu&etilde;te">voluente</expan>, <lb/>manife&longs;tum quod tantam <lb/><expan abbr="rectã">rectam</expan> maior tran&longs;it, ad <expan abbr="quã-tam">quan<lb/>tam</expan> à minore impul&longs;us e&longs;t: <lb/>ad tantam verò impul&longs;us <lb/>e&longs;t, ad quantam minor &longs;e <lb/>mouit. </s>

<s><expan abbr="Rectã">Rectam</expan> igitur æqua<lb/>lem pertran&longs;ierunt. </s>

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<s>per &longs;e <expan abbr="quid&etilde;">quidem</expan> motus vtrouis modo &longs;eu celeriter: &longs;eu tacdè. <pb pagenum="170"/><gap/><lb/>Eadem verò celeritate &longs;ta<lb/>tim per quantam lineam <lb/>natus e&longs;t conuolui maior.</s>

<s><margin.target id="marg39"></margin.target>Hæc inter<lb/>po&longs;ita <expan abbr="vid&etilde;-tur">viden<lb/>tur</expan>.</s>

<s><margin.target id="marg39"/>Hæc inter<lb/>po&longs;ita <expan abbr="vid&etilde;-tur">viden<lb/>tur</expan>.</s>

<s>COMMENTARIVS.</s>

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<s>Motum <lb/>ab alio non plus moueri pote&longs;t: quam quod ip&longs;um mouet, vt quod non <lb/>&longs;uo: &longs;ed motu mouentis moueatur, tum mouens & motum &longs;unt &longs;i<lb/>mul, vt demon&longs;tratum e&longs;t ab Ari&longs;totele in lib.

de Phy&longs;. </s>

de Phy&longs;. auditu. </s>

<s>auditu. </s>

<s>Cau&longs;a <lb/>itaque problematis in hoc continetur, quod è duobus circulis eadem <lb/>celeritate motis alter primo mouetur, & alter prior is moti raptum <lb/>&longs;equitur. </s>

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<s>Qvod etiam dubit.] <emph type="italics"/>Antea de circulis ad vnum centrum <lb/>connexis <expan abbr="demõ&longs;tratum">demon&longs;tratum</expan> e&longs;t: perinde etiam in inæqualibus ad di<lb/>wer&longs;a puncta connexis &longs;e habere o&longs;tenditur, ni&longs;i <expan abbr="mend&utilde;">mendum</expan> &longs;ub&longs;it aliquod <lb/>in contextu è quo particulam<emph.end type="italics"/> <foreign lang="greek">ou)k</foreign> <emph type="italics"/>expunximus. </s>

<s>Nam & eccentrici <lb/>connexi raptum motoris primi &longs;equuntur, & &longs;emper orbitarum <lb/>æqualitas reperietur &longs;eu centra &longs;int in eadem linea: &longs;iue in diuer&longs;is,<emph.end type="italics"/><pb pagenum="173"/><figure id="fig63"></figure><lb/><emph type="italics"/>vtin A, B, <lb/>C, vbi lineæ <lb/>pro <gap/>rbitis <lb/>inæqualium <lb/><expan abbr="circulor&utilde;">circulorum</expan>, &longs;ed <lb/><expan abbr="annexor&utilde;">annexorum</expan> D <lb/>E, FG, HI <lb/>&longs;unt æquales <lb/>vt facile e&longs;t <lb/>demon&longs;trare <lb/>ex ad&longs;cripto <lb/>diagrammate.<emph.end type="italics"/></s>

<s>Nam & eccentrici <lb/>connexi raptum motoris primi &longs;equuntur, & &longs;emper orbitarum <lb/>æqualitas reperietur &longs;eu centra &longs;int in eadem linea: &longs;iue in diuer&longs;is,<emph.end type="italics"/><pb pagenum="173"/><figure id="fig63"/><lb/><emph type="italics"/>vtin A, B, <lb/>C, vbi lineæ <lb/>pro <gap/>rbitis <lb/>inæqualium <lb/><expan abbr="circulor&utilde;">circulorum</expan>, &longs;ed <lb/><expan abbr="annexor&utilde;">annexorum</expan> D <lb/>E, FG, HI <lb/>&longs;unt æquales <lb/>vt facile e&longs;t <lb/>demon&longs;trare <lb/>ex ad&longs;cripto <lb/>diagrammate.<emph.end type="italics"/></s>

<s>Quod vero eodem.] <emph type="italics"/>Re&longs;pondet a&longs;&longs;umptioni præcedentis &longs;yllo<lb/>gi&longs;mi, in quo concludebatur ratio admirationis problematis. </s>

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<s>Motus enim <lb/>circularis fit <expan abbr="c&etilde;tro">centro</expan> quie&longs;cente, & reliquis omnibus motis, talis e&longs;t mo<lb/>tus æquatoris in cælo. </s>

<s>Motus verò per <expan abbr="circul&utilde;">circulum</expan> fit progrediente centro, <lb/>& huic accedit vt <expan abbr="circ&utilde;uertatur">circunuertatur</expan>, alioqui nihil aliud e&longs;&longs;et <expan abbr="quã">quam</expan> circu<lb/>lus progrediens, & vectio <expan abbr="quædã">quædam</expan>, vt hæc qua<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/><expan abbr="centr&utilde;">centrum</expan> perpetuò per<emph.end type="italics"/><lb/><arrow.to.target n="marg40"></arrow.to.target><lb/><emph type="italics"/>æquidi&longs;tantem <expan abbr="lineã">lineam</expan> fertur in<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>&longs;eu trahatur &longs;eu impellatur, & ideo <lb/>omnia puncta æqualiter <expan abbr="mou&etilde;tur">mouentur</expan>, & per æquale <expan abbr="&longs;pati&utilde;">&longs;patium</expan> perinde ac &longs;i <lb/>motus hic merè rectus e&longs;&longs;et, & &longs;ine vlla circumuer&longs;ione qua&longs;i fune <lb/>circulus traheretur. </s>

<s>Motus verò per <expan abbr="circul&utilde;">circulum</expan> fit progrediente centro, <lb/>& huic accedit vt <expan abbr="circ&utilde;uertatur">circunuertatur</expan>, alioqui nihil aliud e&longs;&longs;et <expan abbr="quã">quam</expan> circu<lb/>lus progrediens, & vectio <expan abbr="quædã">quædam</expan>, vt hæc qua<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/><expan abbr="centr&utilde;">centrum</expan> perpetuò per<emph.end type="italics"/><lb/><arrow.to.target n="marg40"/><lb/><emph type="italics"/>æquidi&longs;tantem <expan abbr="lineã">lineam</expan> fertur in<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>&longs;eu trahatur &longs;eu impellatur, & ideo <lb/>omnia puncta æqualiter <expan abbr="mou&etilde;tur">mouentur</expan>, & per æquale <expan abbr="&longs;pati&utilde;">&longs;patium</expan> perinde ac &longs;i <lb/>motus hic merè rectus e&longs;&longs;et, & &longs;ine vlla circumuer&longs;ione qua&longs;i fune <lb/>circulus traheretur. </s>

<s>Cæterum cum <expan abbr="tã">tam</expan><emph.end type="italics"/> <foreign lang="greek">z g d,</foreign> <emph type="italics"/><expan abbr="quã">quam</expan><emph.end type="italics"/> <foreign lang="greek">h b e</foreign> <emph type="italics"/>moueantur &longs;u<lb/>per rectas<emph.end type="italics"/> <foreign lang="greek">zl, h q</foreign> <emph type="italics"/>& quidem ita vt &longs;ingula puncta<emph.end type="italics"/> <foreign lang="greek">z g d</foreign> <emph type="italics"/>tangant <lb/>&longs;ingula puncta<emph.end type="italics"/> <foreign lang="greek">z l</foreign><emph type="italics"/>: <expan abbr="t&utilde;">tum</expan><emph.end type="italics"/> <foreign lang="greek">h b e</foreign> <emph type="italics"/>&longs;ingula puncta ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">h <expan abbr="q.">que</expan></foreign> <emph type="italics"/>Tamen peri<lb/>pheria<emph.end type="italics"/> <foreign lang="greek">z g d,</foreign> <emph type="italics"/>aut <expan abbr="nõ">non</expan> e&longs;t æqualis rectæ<emph.end type="italics"/> <foreign lang="greek">z l</foreign><emph type="italics"/>: aut peripheria<emph.end type="italics"/> <foreign lang="greek">z b e</foreign> <emph type="italics"/><expan abbr="nõ">non</expan> e&longs;t<emph.end type="italics"/><pb pagenum="174"/><emph type="italics"/>æqualis rectæ<emph.end type="italics"/> <foreign lang="greek">h q</foreign>: <emph type="italics"/>alioqui &longs;i<emph.end type="italics"/><lb/><figure id="fig64"></figure><lb/><emph type="italics"/>ambæ peripheriæ ambabus re<lb/>ctis e&longs;&longs;ent æquales, cum ip&longs;æ <lb/>&longs;int æquales rectæ, vt demon<lb/>&longs;tratume&longs;t, e&longs;&longs;ent & periphe<lb/>riæ æquales, maior minori, quod <lb/>ab&longs;urdum. </s>

<s>Cæterum cum <expan abbr="tã">tam</expan><emph.end type="italics"/> <foreign lang="greek">z g d,</foreign> <emph type="italics"/><expan abbr="quã">quam</expan><emph.end type="italics"/> <foreign lang="greek">h b e</foreign> <emph type="italics"/>moueantur &longs;u<lb/>per rectas<emph.end type="italics"/> <foreign lang="greek">zl, h q</foreign> <emph type="italics"/>& quidem ita vt &longs;ingula puncta<emph.end type="italics"/> <foreign lang="greek">z g d</foreign> <emph type="italics"/>tangant <lb/>&longs;ingula puncta<emph.end type="italics"/> <foreign lang="greek">z l</foreign><emph type="italics"/>: <expan abbr="t&utilde;">tum</expan><emph.end type="italics"/> <foreign lang="greek">h b e</foreign> <emph type="italics"/>&longs;ingula puncta ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">h <expan abbr="q.">que</expan></foreign> <emph type="italics"/>Tamen peri<lb/>pheria<emph.end type="italics"/> <foreign lang="greek">z g d,</foreign> <emph type="italics"/>aut <expan abbr="nõ">non</expan> e&longs;t æqualis rectæ<emph.end type="italics"/> <foreign lang="greek">z l</foreign><emph type="italics"/>: aut peripheria<emph.end type="italics"/> <foreign lang="greek">z b e</foreign> <emph type="italics"/><expan abbr="nõ">non</expan> e&longs;t<emph.end type="italics"/><pb pagenum="174"/><emph type="italics"/>æqualis rectæ<emph.end type="italics"/> <foreign lang="greek">h q</foreign>: <emph type="italics"/>alioqui &longs;i<emph.end type="italics"/><lb/><figure id="fig64"/><lb/><emph type="italics"/>ambæ peripheriæ ambabus re<lb/>ctis e&longs;&longs;ent æquales, cum ip&longs;æ <lb/>&longs;int æquales rectæ, vt demon<lb/>&longs;tratume&longs;t, e&longs;&longs;ent & periphe<lb/>riæ æquales, maior minori, quod <lb/>ab&longs;urdum. </s>

<s>Ex quo exploditur <lb/>ratio Bouilli, qui ex <expan abbr="circ&utilde;uolu-tione">circunuolu<lb/>tione</expan> circuli exactè rotundi &longs;u<lb/>per plano ad libellam facto pu<lb/>tabat inueni&longs;&longs;e rectam periphe<lb/>riæ æqualem. </s>

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<s>vt rotæ axis<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tran&longs;eat in F. </s>

<s>Et quia<emph.end type="italics"/> <foreign lang="greek">a h</foreign> <emph type="italics"/>& F G<emph.end type="italics"/><lb/><figure id="fig65"></figure><lb/><emph type="italics"/>æquales &longs;unt. </s>

<s>Et quia<emph.end type="italics"/> <foreign lang="greek">a h</foreign> <emph type="italics"/>& F G<emph.end type="italics"/><lb/><figure id="fig65"/><lb/><emph type="italics"/>æquales &longs;unt. </s>

<s>Radij enim &longs;unt eiu&longs;dem circuli minoris &<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>G e&longs;t <lb/>æquidi&longs;tans<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>F. </s>

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5. de proport.<emph.end type="italics"/></s>

<s><margin.target id="marg40"></margin.target>Vide penul <lb/>timum dia <lb/>gramma.</s>

<s><margin.target id="marg40"/>Vide penul <lb/>timum dia <lb/>gramma.</s>

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<s>Sicque plurimis opportuna quæ &longs;ita e&longs;t<emph.end type="italics"/><pb pagenum="176"/><emph type="italics"/>lecti magnitudo, quod ad <expan abbr="longitudin&etilde;">longitudinem</expan> attinet: &longs;ed nec minus quod ad <lb/>latitudinem. </s>

<s>Seuenim &longs;upinus, aut pronus, quod e&longs;t in&longs;alubre, <expan abbr="nõ">non</expan> plus <lb/>loci quam cubitus vnus occupabit: & adhuc paulò minus, &longs;eu in <lb/>dextrum aut &longs;ini&longs;trum latus decumbat homo, cuiu&longs;modi plurimos<emph.end type="italics"/><lb/><arrow.to.target n="marg41"></arrow.to.target><lb/><emph type="italics"/>&longs;anos cubare dixit Hippocrates, collo etiam manibus cruribu&longs;que pa<lb/>rum reductis, & totis corporibus humentes, id e&longs;t, vt explicat Gale<lb/>nus vitatis extremis figuris. </s>

<s>Seuenim &longs;upinus, aut pronus, quod e&longs;t in&longs;alubre, <expan abbr="nõ">non</expan> plus <lb/>loci quam cubitus vnus occupabit: & adhuc paulò minus, &longs;eu in <lb/>dextrum aut &longs;ini&longs;trum latus decumbat homo, cuiu&longs;modi plurimos<emph.end type="italics"/><lb/><arrow.to.target n="marg41"/><lb/><emph type="italics"/>&longs;anos cubare dixit Hippocrates, collo etiam manibus cruribu&longs;que pa<lb/>rum reductis, & totis corporibus humentes, id e&longs;t, vt explicat Gale<lb/>nus vitatis extremis figuris. </s>

<s>Extremæ autem figuræ &longs;unt, quæ &longs;um<lb/>mam exten&longs;ionem, aut &longs;lexum habent &longs;iuè artuum &longs;int, &longs;iuè &longs;pinæ, <lb/>& fiunt neruis &longs;upra modum extentis: non item quæ inter ex<lb/>tremas media e&longs;t, hæc enim ten&longs;ionem <expan abbr="nõ">non</expan> habet. </s>

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<s>Nec enim de his agimus, quibus<emph.end type="italics"/></s>

<s><margin.target id="marg41"></margin.target>Inprogno&longs;t.</s>

<s><margin.target id="marg41"/>Inprogno&longs;t.</s>

<s>Pinguis aqualiculus extento &longs;e&longs;quipede extat.</s>

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<s>His igi<lb/>tur ita po&longs;itis de&longs;cribantur duæ formæ lecti, in quibus &longs;int lineæ nu<lb/>mero pares, &longs;itu diuer&longs;æ. </s>

<s>Sit igitur prima A B C D, cuius la-<emph.end type="italics"/><lb/><figure id="fig66"></figure><lb/><emph type="italics"/>tus A B duplum &longs;it lateris A C, & quidem illud 4. pe<lb/>dum, hoc duorum. </s>

<s>Sit igitur prima A B C D, cuius la-<emph.end type="italics"/><lb/><figure id="fig66"/><lb/><emph type="italics"/>tus A B duplum &longs;it lateris A C, & quidem illud 4. pe<lb/>dum, hoc duorum. </s>

<s>In hac lora &longs;ecundum diametrum &longs;int quidem <lb/>&longs;ecundum longitudinem tria K N. </s>

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1. Sint & totidem G Q, <lb/>E F, H R &longs;ecundum latitudinem exten&longs;a, inter&longs;e quoque, & la<lb/>teri A C æqualia per eandem.<emph.end type="italics"/></s>

<s><emph type="italics"/>Sit &longs;ecunda forma<emph.end type="italics"/> <foreign lang="greek">a b g d</foreign> <emph type="italics"/>in eadem ratione laterum, & ea<lb/>dem magnitudine &longs;eruata, & linearum &longs;ed obliquarum æquali nu<lb/>mero, quæ &longs;int<emph.end type="italics"/> <foreign lang="greek">a c, h k, e d</foreign> <emph type="italics"/>tum.<emph.end type="italics"/> <foreign lang="greek">b c, q i, e g,</foreign> <emph type="italics"/>quæ quia pa-<emph.end type="italics"/><lb/><figure id="fig67"></figure><lb/><emph type="italics"/>rallelæ &longs;unt, & aduer&longs;æ in &longs;uis parallelogrammis, omnes inter &longs;e <lb/>æquales &longs;unt prop.

<s><emph type="italics"/>Sit &longs;ecunda forma<emph.end type="italics"/> <foreign lang="greek">a b g d</foreign> <emph type="italics"/>in eadem ratione laterum, & ea<lb/>dem magnitudine &longs;eruata, & linearum &longs;ed obliquarum æquali nu<lb/>mero, quæ &longs;int<emph.end type="italics"/> <foreign lang="greek">a c, h k, e d</foreign> <emph type="italics"/>tum.<emph.end type="italics"/> <foreign lang="greek">b c, q i, e g,</foreign> <emph type="italics"/>quæ quia pa-<emph.end type="italics"/><lb/><figure id="fig67"/><lb/><emph type="italics"/>rallelæ &longs;unt, & aduer&longs;æ in &longs;uis parallelogrammis, omnes inter &longs;e <lb/>æquales &longs;unt prop.

34. lib.

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<s>At ab extremo <expan abbr="eleuat&utilde;">eleuatum</expan> vel <lb/>ge&longs;tatum non idem facit: <lb/>quin totum onus vergit ad <lb/>medium vnum quò eleua<lb/>tur vel fertur. </s>

<s>Hoc &longs;it <foreign lang="greek">a,</foreign><lb/>extrema <foreign lang="greek">b, g.</foreign> Igitur eleuato <lb/>vel ge&longs;tato qua parte e&longs;t <foreign lang="greek">a</foreign>: <pb pagenum="185"/><gap/><lb/><figure id="fig68"></figure><lb/><foreign lang="greek">b</foreign> quidem deor&longs;um ver<lb/>gens attollit <foreign lang="greek">g:g</foreign> vero deor<lb/>&longs;um repens attollit <foreign lang="greek">b.</foreign> Si<lb/>mul autem eleuata idem præ&longs;tant.</s>

<s>Hoc &longs;it <foreign lang="greek">a,</foreign><lb/>extrema <foreign lang="greek">b, g.</foreign> Igitur eleuato <lb/>vel ge&longs;tato qua parte e&longs;t <foreign lang="greek">a</foreign>: <pb pagenum="185"/><gap/><lb/><figure id="fig68"/><lb/><foreign lang="greek">b</foreign> quidem deor&longs;um ver<lb/>gens attollit <foreign lang="greek">g:g</foreign> vero deor<lb/>&longs;um repens attollit <foreign lang="greek">b.</foreign> Si<lb/>mul autem eleuata idem præ&longs;tant.</s>

<s>COMMENTARIVS.</s>

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<s>E&longs;t enim medium quod fertur, tanquam centrum, à quo extrema vt <lb/>æquæ lances in iu&longs;ta libra, &longs;u&longs;penduntur. </s>

<s>Non ita e&longs;t vbi lignum per <lb/>extremum fertur: &longs;ed totum ad partem vnam vergit ab co per quod<emph.end type="italics"/><lb/><figure id="fig69"></figure><lb/><emph type="italics"/>ge&longs;tatur deflectens. </s>

<s>Non ita e&longs;t vbi lignum per <lb/>extremum fertur: &longs;ed totum ad partem vnam vergit ab co per quod<emph.end type="italics"/><lb/><figure id="fig69"/><lb/><emph type="italics"/>ge&longs;tatur deflectens. </s>

<s>Ex deflexione autem <lb/>&longs;eu depreßione extremi, tanquam ponderis <lb/>prementis, labor augetur in ferente. </s>

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<s>Præterea in perpendiculari ip&longs;a lancea to<lb/>ta pondus e&longs;t. </s>

<s>Huic &longs;u&longs;tinendæ quæ vis<emph.end type="italics"/><pb pagenum="186"/><emph type="italics"/>&longs;ufficiet, &longs;ufficiet &<emph.end type="italics"/><lb/><figure id="fig70"></figure><lb/><emph type="italics"/>ferendæ, inque &longs;u&longs;ti<lb/>nenda tantum labo<lb/>rat: in inclinata ex<lb/>tremum e&longs;t hypomoch<lb/>lium, à quo non longè <lb/>abe&longs;t vis mouens: pon<lb/>dus verò quod e&longs;t reli<lb/>qua pars, ab hoc extre<lb/>mo alterum extremum <lb/>quantò longius: tantò <lb/>maiorem rationem ad <lb/>vim mouentem habe<lb/>bit, & &longs;ic difficilius <lb/>feretur.<emph.end type="italics"/></s>

<s>Huic &longs;u&longs;tinendæ quæ vis<emph.end type="italics"/><pb pagenum="186"/><emph type="italics"/>&longs;ufficiet, &longs;ufficiet &<emph.end type="italics"/><lb/><figure id="fig70"/><lb/><emph type="italics"/>ferendæ, inque &longs;u&longs;ti<lb/>nenda tantum labo<lb/>rat: in inclinata ex<lb/>tremum e&longs;t hypomoch<lb/>lium, à quo non longè <lb/>abe&longs;t vis mouens: pon<lb/>dus verò quod e&longs;t reli<lb/>qua pars, ab hoc extre<lb/>mo alterum extremum <lb/>quantò longius: tantò <lb/>maiorem rationem ad <lb/>vim mouentem habe<lb/>bit, & &longs;ic difficilius <lb/>feretur.<emph.end type="italics"/></s>

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<s>Hæc autem pendet à maiore di&longs;tantia à medio tanquam cen<lb/>tro humeris ge&longs;tato.<emph.end type="italics"/></s>

<s><emph type="italics"/>Sit igitur lignum <lb/>longius A B è me-<emph.end type="italics"/><lb/><figure id="fig71"></figure><lb/><emph type="italics"/>dio C ge&longs;tatum.<emph.end type="italics"/></s>

<s><emph type="italics"/>Sit igitur lignum <lb/>longius A B è me-<emph.end type="italics"/><lb/><figure id="fig71"/><lb/><emph type="italics"/>dio C ge&longs;tatum.<emph.end type="italics"/></s>

<s><emph type="italics"/>Sit & breuius<emph.end type="italics"/><lb/><figure id="fig72"></figure><lb/><emph type="italics"/>D E eiu&longs;dem pon<lb/>deris puta decem librarum è medio F ge&longs;tatum etiam. </s>

<s><emph type="italics"/>Sit & breuius<emph.end type="italics"/><lb/><figure id="fig72"/><lb/><emph type="italics"/>D E eiu&longs;dem pon<lb/>deris puta decem librarum è medio F ge&longs;tatum etiam. </s>

<s>Quia partes <lb/>cum pariter multiplicibus &longs;unt in eadem ratione prop.

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<s>Ne grauis hau&longs;turis celonius ilia vellat.</s>

<s><emph type="italics"/>Machina hæc quæ ab officio tollendi tolleno dicitur, con&longs;tat trabe <lb/>erecta, vt D C, & tigno tran&longs;uer&longs;o circa axiculum in alto trabis<emph.end type="italics"/><lb/><figure id="fig73"></figure><lb/><emph type="italics"/>ver&longs;atili, vt A B, à cuius extremo B cum cathena B E pendet <lb/>vas E, in altero A pondus plumbeum, vel lapideum G adÿcitur ad <lb/>commodiorem, vt vult hîc Ari&longs;tottles, à puteo F exhau&longs;tum. </s>

<s><emph type="italics"/>Machina hæc quæ ab officio tollendi tolleno dicitur, con&longs;tat trabe <lb/>erecta, vt D C, & tigno tran&longs;uer&longs;o circa axiculum in alto trabis<emph.end type="italics"/><lb/><figure id="fig73"/><lb/><emph type="italics"/>ver&longs;atili, vt A B, à cuius extremo B cum cathena B E pendet <lb/>vas E, in altero A pondus plumbeum, vel lapideum G adÿcitur ad <lb/>commodiorem, vt vult hîc Ari&longs;tottles, à puteo F exhau&longs;tum. </s>

<s>Quæ<lb/>rit igitur cur in altero tollenonis extremo pondus adÿciatur. </s>

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<s>Sit igitur vt B C &longs;it minor: quam A C. </s>

<s>Ergo A.<emph.end type="italics"/><pb pagenum="192"/><emph type="italics"/>potentia<emph.end type="italics"/><lb/><figure id="fig74"></figure><lb/><emph type="italics"/>erit mi<lb/>nor: <expan abbr="quã">quam</expan> <lb/>B, id e&longs;t <lb/>potentia <lb/>minorin <lb/>A &longs;ic di <lb/>&longs;tante à <lb/>C &longs;ufficiet &longs;u&longs;tinendo ponderi. </s>

<s>Ergo A.<emph.end type="italics"/><pb pagenum="192"/><emph type="italics"/>potentia<emph.end type="italics"/><lb/><figure id="fig74"/><lb/><emph type="italics"/>erit mi<lb/>nor: <expan abbr="quã">quam</expan> <lb/>B, id e&longs;t <lb/>potentia <lb/>minorin <lb/>A &longs;ic di <lb/>&longs;tante à <lb/>C &longs;ufficiet &longs;u&longs;tinendo ponderi. </s>

<s>Po&longs;itis igitur A & B potentÿs <lb/>æqualibus, A facilius &longs;u&longs;tinebit, & quidem tantò: quantò A <gap/><lb/>&longs;tabit magis ab C. </s>

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<s><emph type="italics"/>Hanc rur&longs;us quæ&longs;tionem aliter &longs;oluere videtur Cardanus, nimi<lb/>rum quod E pondus alteri ferentium propius exi&longs;tens ip&longs;um premit <lb/>magis, quia de&longs;cendat magis re&longs;pectu B: quam A alterius feren<lb/>tium. </s>

<s>Nam cum de&longs;cendat &longs;ecundumrectam C E, &longs;i intelligamus à <lb/>puncto B ad Erectam ductam, <lb/>& ab A ad E item rectam,<emph.end type="italics"/><lb/><figure id="fig75"></figure><lb/><emph type="italics"/>con&longs;titutum erit triangulum A <lb/>B E, cuius quia A E maior <lb/>e&longs;t: quam E B, per prop.

<s>Nam cum de&longs;cendat &longs;ecundumrectam C E, &longs;i intelligamus à <lb/>puncto B ad Erectam ductam, <lb/>& ab A ad E item rectam,<emph.end type="italics"/><lb/><figure id="fig75"/><lb/><emph type="italics"/>con&longs;titutum erit triangulum A <lb/>B E, cuius quia A E maior <lb/>e&longs;t: quam E B, per prop.

46. <lb/>& 47. lib.

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<s>quia &longs;olus <lb/>articulos ita à natura &longs;apiente & architectatrice conformatos ha<lb/>bet, vt &longs;ic eius o&longs;&longs;a di&longs;poni valeant. </s>

<s>Solus enim articulum femoris <lb/>& i&longs;chÿ ad anteriora flectit, ip&longs;ius verò genu retror&longs;um reflectit,<emph.end type="italics"/><lb/><arrow.to.target n="marg42"></arrow.to.target><lb/><emph type="italics"/>&longs;ine quibus neque tibia & femur cum &longs;pina in <expan abbr="vnã">vnam</expan> rectam adduci <lb/>pote&longs;t, at in belluis vbi femur <expan abbr="c&utilde;">cum</expan> <expan abbr="&longs;pinarect&utilde;">&longs;pinarectum</expan> fecit, tibia <expan abbr="nunquã">nunquam</expan> cum <lb/>femore rectum faciet: nec etiam ip&longs;a ad terram recta erit. </s>

<s>Solus enim articulum femoris <lb/>& i&longs;chÿ ad anteriora flectit, ip&longs;ius verò genu retror&longs;um reflectit,<emph.end type="italics"/><lb/><arrow.to.target n="marg42"/><lb/><emph type="italics"/>&longs;ine quibus neque tibia & femur cum &longs;pina in <expan abbr="vnã">vnam</expan> rectam adduci <lb/>pote&longs;t, at in belluis vbi femur <expan abbr="c&utilde;">cum</expan> <expan abbr="&longs;pinarect&utilde;">&longs;pinarectum</expan> fecit, tibia <expan abbr="nunquã">nunquam</expan> cum <lb/>femore rectum faciet: nec etiam ip&longs;a ad terram recta erit. </s>

<s>quod ta<lb/>men, vt &longs;eßio &longs;ecura fiat, nece&longs;&longs;um e&longs;t. </s>

<s>cum igitur omnia bruta an<lb/>tror&longs;um po&longs;teriorum crurum flexiones habeant, &longs;olus homo &longs;edet, <lb/>& &longs;tat: & &longs;apienter ita hunc natura fecit, cum hic &longs;olus mentem<emph.end type="italics"/><lb/><arrow.to.target n="marg43"></arrow.to.target><lb/><emph type="italics"/>quæ e&longs;t ars artium habiturus erat, id e&longs;t &longs;olus artifex futurus erat. <lb/></s>

<s>cum igitur omnia bruta an<lb/>tror&longs;um po&longs;teriorum crurum flexiones habeant, &longs;olus homo &longs;edet, <lb/>& &longs;tat: & &longs;apienter ita hunc natura fecit, cum hic &longs;olus mentem<emph.end type="italics"/><lb/><arrow.to.target n="marg43"/><lb/><emph type="italics"/>quæ e&longs;t ars artium habiturus erat, id e&longs;t &longs;olus artifex futurus erat. <lb/></s>

<s>Manuum enim, quæ &longs;int <foreign lang="greek">o)/rganon o)rganwn,</foreign> vt vocat no&longs;ter Gale<lb/>nus actiones in opificÿs, duabus his <expan abbr="tãtum">tantum</expan> egent figuris. </s>

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<s>Ideo etiam, vt id obiter dicam, <lb/>qui opinantur ob id rectum &longs;tare hominem, vt cælum promptè &longs;u&longs;pi<lb/>ciat, dicereque poßit.<emph.end type="italics"/></s>

<s><margin.target id="marg42"></margin.target>Cap.

<s><margin.target id="marg42"/>Cap.

1. & 3. <lb/>lib.

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3. de v&longs;u <lb/>part.</s>

<s><margin.target id="marg43"></margin.target>Cap.

<s><margin.target id="marg43"/>Cap.

2. lib.

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<s>ab hoc <lb/>enim &longs;itu pollex<emph.end type="italics"/> <foreign lang="greek">i)/son dun/atai tn_| o(/lh xeiei/.</foreign></s>

<s>Cur omnes qui &longs;urgunt.] <emph type="italics"/>Quærit hîc Ari&longs;toteles, cur &longs;ur<lb/>gens de &longs;eßione nece&longs;&longs;ario con&longs;tituat angu<lb/>lum acutum ex tibia cum femore, vel ex <lb/>thorace, &longs;eu &longs;pina cum femore, vt in &longs;e&longs;-<emph.end type="italics"/><lb/><figure id="fig76"></figure><lb/><emph type="italics"/>&longs;ione &longs;it thorax A B, femur B C, tibia C <lb/>D, anguli A B C & B C D recti. </s>

<s>Cur omnes qui &longs;urgunt.] <emph type="italics"/>Quærit hîc Ari&longs;toteles, cur &longs;ur<lb/>gens de &longs;eßione nece&longs;&longs;ario con&longs;tituat angu<lb/>lum acutum ex tibia cum femore, vel ex <lb/>thorace, &longs;eu &longs;pina cum femore, vt in &longs;e&longs;-<emph.end type="italics"/><lb/><figure id="fig76"/><lb/><emph type="italics"/>&longs;ione &longs;it thorax A B, femur B C, tibia C <lb/>D, anguli A B C & B C D recti. </s>

<s>Ex hoc <lb/>&longs;ituad &longs;urgendum innitens nece&longs;&longs;e habet addu<lb/>cere C D ad C E, vel A B ad B F, vt è <lb/>rectis A B C, B C D angulis, fiant acuti <lb/>F B C, B C E.<emph.end type="italics"/></s>

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<s>Huius <lb/>&longs;eßio non e&longs;t particeps. </s>

<s>quia pedes & &longs;pina &longs;unt in Lineis parallelis: <lb/>contra adductio tibiæ, ita vt angulum acutum cum femore con&longs;ti-<emph.end type="italics"/><pb pagenum="197"/><emph type="italics"/>tuat: vel thoracis vt cum <lb/>femore, quia pedes rectà<emph.end type="italics"/><lb/><figure id="fig77"></figure><lb/><emph type="italics"/>&longs;ub capite, aut &longs;altem re<lb/>ctius: quam ante collocat, <lb/>&longs;tationis magis e&longs;t parti<lb/>ceps. </s>

<s>quia pedes & &longs;pina &longs;unt in Lineis parallelis: <lb/>contra adductio tibiæ, ita vt angulum acutum cum femore con&longs;ti-<emph.end type="italics"/><pb pagenum="197"/><emph type="italics"/>tuat: vel thoracis vt cum <lb/>femore, quia pedes rectà<emph.end type="italics"/><lb/><figure id="fig77"/><lb/><emph type="italics"/>&longs;ub capite, aut &longs;altem re<lb/>ctius: quam ante collocat, <lb/>&longs;tationis magis e&longs;t parti<lb/>ceps. </s>

<s>Ad &longs;urrectionem igi<lb/>tur nece&longs;&longs;arij &longs;unt anguli <lb/>acuti facti vel à thorace <lb/>cum femoribus, vel à fe<lb/>moribus cum tibijs, vt diagrammate<emph.end type="italics"/> <foreign lang="greek">a b g d</foreign> <emph type="italics"/>pro &longs;edente, &<emph.end type="italics"/> <foreign lang="greek">e b <lb/>g z</foreign> <emph type="italics"/>pro &longs;urgente declaratur.<emph.end type="italics"/></s>

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<s>Porrò &longs;urrectio è &longs;edente ad &longs;tandum <lb/>declarata e&longs;t angulis acutis indigere: &longs;urrectionem è iacente etiam <lb/>indigere clarum e&longs;t. </s>

<s>Is enim qui iace<gap/>, vt &longs;urgat, & &longs;tet, quatuor <lb/>acutos efficit, utroque brachio & latere: thorace & cruribus: fe<lb/>moribus & tibiis, vt ia<lb/>ceat A B G D. vt &longs;ur-<emph.end type="italics"/><lb/><figure id="fig78"></figure><lb/><emph type="italics"/>gat A B thorax bra<lb/>chiorum in acutos con<lb/>formatorum adminiculo <lb/>adducetur ad E B: &longs;ic<lb/>que E B G erit acutus <lb/>ex thorace & femoribus, <lb/>& G D tibia adducetur in G F: &longs;icque erit acutus B G F.<emph.end type="italics"/></s>

<s>Is enim qui iace<gap/>, vt &longs;urgat, & &longs;tet, quatuor <lb/>acutos efficit, utroque brachio & latere: thorace & cruribus: fe<lb/>moribus & tibiis, vt ia<lb/>ceat A B G D. vt &longs;ur-<emph.end type="italics"/><lb/><figure id="fig78"/><lb/><emph type="italics"/>gat A B thorax bra<lb/>chiorum in acutos con<lb/>formatorum adminiculo <lb/>adducetur ad E B: &longs;ic<lb/>que E B G erit acutus <lb/>ex thorace & femoribus, <lb/>& G D tibia adducetur in G F: &longs;icque erit acutus B G F.<emph.end type="italics"/></s>

<s><emph type="italics"/>Cæterum &longs;eßio, de qua hîc Aristoteles, e&longs;t propriè dicta, & hanc <lb/>Galenus cum &longs;ecuritate e&longs;&longs;e dixit. </s>

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<s>At tamen &longs;eßio latè &longs;umpta, fit ad angu<lb/>los acutos, vt cum &longs;ella humilior e&longs;t tibÿs &longs;edentis, & ad obtu&longs;os <lb/>cum altior e&longs;t. </s>

<s>Vnde experientia notum e&longs;t hominem quantò altius <lb/>&longs;edet, tantò facilius &longs;urgere, quod tamen videtur repugnare prædi<lb/>ctis, cum obtu&longs;i anguli longius ab &longs;int, etiam quam recti, ab acutis.<emph.end type="italics"/><pb pagenum="198"/><arrow.to.target n="table2"></arrow.to.target></s><table><table.target id="table2"></table.target><row><cell></cell><cell><emph type="italics"/>Altiore K<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>vt &longs;it thorax A B &longs;edens &longs;uper &longs;ella<emph.end type="italics"/></cell><cell><emph type="italics"/>Æquali L<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>tibÿs.<emph.end type="italics"/></cell><cell><emph type="italics"/>Humiliore M<emph.end type="italics"/></cell></row></table>

<s>Vnde experientia notum e&longs;t hominem quantò altius <lb/>&longs;edet, tantò facilius &longs;urgere, quod tamen videtur repugnare prædi<lb/>ctis, cum obtu&longs;i anguli longius ab &longs;int, etiam quam recti, ab acutis.<emph.end type="italics"/><pb pagenum="198"/><arrow.to.target n="table2"/></s><table><table.target id="table2"/><row><cell/><cell><emph type="italics"/>Altiore K<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>vt &longs;it thorax A B &longs;edens &longs;uper &longs;ella<emph.end type="italics"/></cell><cell><emph type="italics"/>Æquali L<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>tibÿs.<emph.end type="italics"/></cell><cell><emph type="italics"/>Humiliore M<emph.end type="italics"/></cell></row></table>

<s><emph type="italics"/>Dico quod ex<emph.end type="italics"/><lb/><figure id="fig79"></figure><lb/><emph type="italics"/>K facilius &longs;ur<lb/>get: quam ex L: <lb/>quamque ex M. <lb/></s>

<s><emph type="italics"/>Dico quod ex<emph.end type="italics"/><lb/><figure id="fig79"/><lb/><emph type="italics"/>K facilius &longs;ur<lb/>get: quam ex L: <lb/>quamque ex M. <lb/></s>

<s>Ratio e&longs;t, quia <lb/>A B &longs;uper K <lb/>magis e&longs;t parti<lb/>ceps &longs;tationis: <lb/>quam &longs;uper L. <lb/></s>

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<s>Ab æquali aut minore vi quam &longs;it impedimentum non <lb/>fit motus. </s>

<s>Sit enim A B C D <lb/>quod re&longs;istat per decem ne &longs;ur&longs;um<emph.end type="italics"/><lb/><figure id="fig80"></figure><lb/><emph type="italics"/>trahatur. </s>

<s>Sit enim A B C D <lb/>quod re&longs;istat per decem ne &longs;ur&longs;um<emph.end type="italics"/><lb/><figure id="fig80"/><lb/><emph type="italics"/>trahatur. </s>

<s>Dico quod &longs;ur&longs;um non <lb/>trahetur, neque per 10. neque per 9. <lb/>&c. </s>

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<s>Ab&longs;urdum e&longs;t igitur dubitare de cau&longs;a ce&longs;&longs;ationis proiecti cum <lb/>ip&longs;um &longs;uus motor de&longs;erat. </s>

<s>Cæterum &longs;agitta & ha&longs;ta & quicquid <lb/>aliud tale e&longs;t ten&longs;a coria facilius, quam laxa penetrat quod illa qui<lb/>dem re&longs;i&longs;tunt: hæc autem cedentia paulatim eorum quæ incidunt, <lb/>violentiam exoluunt, Gal. </s>

<s>cap.

8. lib.

2. de v&longs;. </s>

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<s>quod quam verum &longs;it, postea docebimus, vbi problema cum <lb/>&longs;uis cau&longs;is ex mente Ari&longs;tote<lb/>lis explicuerimus. </s>

<s>Quæritigi-<emph.end type="italics"/><lb/><figure id="fig81"></figure><lb/><emph type="italics"/>tur Aristoteles cur quæ fe<lb/>runtur in vortico&longs;a aqua, om<lb/>nia tandem ad medium deuol<lb/>uantur. </s>

<s>Quæritigi-<emph.end type="italics"/><lb/><figure id="fig81"/><lb/><emph type="italics"/>tur Aristoteles cur quæ fe<lb/>runtur in vortico&longs;a aqua, om<lb/>nia tandem ad medium deuol<lb/>uantur. </s>

<s>Sit igitur A medium <lb/>aquæ per circulos B C D, <lb/>E F G, H I K, L M N, <lb/>O P Q volutæ: &longs;it & vt <lb/>nauis R feratur per vorticem <lb/>B C D.<emph.end type="italics"/></s>

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<s>His <lb/>ita po&longs;itis demon&longs;tratio problematis Aristotelici e&longs;t facilis & <lb/>breuis.<emph.end type="italics"/></s><pb pagenum="210"/>

<s><emph type="italics"/>Sit A inte<lb/>rius extremum, <lb/><figure id="fig82"></figure><lb/>& B exterius <lb/>lineæ &longs;piralis A <lb/>B plurium reuo<lb/>lutionum, in ex<lb/>tremo B &longs;it na<lb/>uis C. </s>

<s><emph type="italics"/>Sit A inte<lb/>rius extremum, <lb/><figure id="fig82"/><lb/>& B exterius <lb/>lineæ &longs;piralis A <lb/>B plurium reuo<lb/>lutionum, in ex<lb/>tremo B &longs;it na<lb/>uis C. </s>

<s>Dico quod <lb/>C feretur ad A, <lb/>& in&longs;uper quod <lb/>cum erit in A <lb/>&longs;ummergetur in<lb/>tra aby&longs;&longs;um A <lb/>E.<emph.end type="italics"/></s>

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<s><emph type="italics"/>6.28. hominum 7.11. engibatis 8.11. vtilitatem 8.22.<emph.end type="italics"/></s><s> Hanc &longs;ed <lb/>10.4. <emph type="italics"/><foreign lang="greek">ow)to/ma<gap/></foreign> 11.17. vinum. </s>

<s>11.19. cucurbitulæ 12.5. nullus <lb/>18.19. intrò 19.27. quintupedalis 30.15. dimetientem 30.33. duas <lb/>36.1. radiorum 37.5.<emph.end type="italics"/> <foreign lang="greek">e)f) ou_</foreign> <emph type="italics"/>39. littera<emph.end type="italics"/> <foreign lang="greek">w</foreign> <emph type="italics"/>debet intelligi in angu<lb/>lonon &longs;ignato parallelogrammi<emph.end type="italics"/><lb/><figure id="fig83"></figure><lb/><foreign lang="greek">uzq</foreign> 48.9. <foreign lang="greek"><gap/>i/on</foreign> 77.10. <lb/><emph type="italics"/>quadrupedibus 81. dee&longs;t figura <lb/>96.12.<emph.end type="italics"/> <foreign lang="greek">a)su/sa<gap/></foreign> <emph type="italics"/>142.24. Epi<lb/>grammatis 167.32. per 182. <lb/>tota pagina vbi e&longs;t litera<emph.end type="italics"/> <foreign lang="greek">z</foreign> <emph type="italics"/>re<lb/>ponenda littera<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> 190.13. <foreign lang="greek">tou_ <lb/>bar/ous.</foreign></s>

<s>11.19. cucurbitulæ 12.5. nullus <lb/>18.19. intrò 19.27. quintupedalis 30.15. dimetientem 30.33. duas <lb/>36.1. radiorum 37.5.<emph.end type="italics"/> <foreign lang="greek">e)f) ou_</foreign> <emph type="italics"/>39. littera<emph.end type="italics"/> <foreign lang="greek">w</foreign> <emph type="italics"/>debet intelligi in angu<lb/>lonon &longs;ignato parallelogrammi<emph.end type="italics"/><lb/><figure id="fig83"/><lb/><foreign lang="greek">uzq</foreign> 48.9. <foreign lang="greek"><gap/>i/on</foreign> 77.10. <lb/><emph type="italics"/>quadrupedibus 81. dee&longs;t figura <lb/>96.12.<emph.end type="italics"/> <foreign lang="greek">a)su/sa<gap/></foreign> <emph type="italics"/>142.24. Epi<lb/>grammatis 167.32. per 182. <lb/>tota pagina vbi e&longs;t litera<emph.end type="italics"/> <foreign lang="greek">z</foreign> <emph type="italics"/>re<lb/>ponenda littera<emph.end type="italics"/> <foreign lang="greek"><gap/></foreign> 190.13. <foreign lang="greek">tou_ <lb/>bar/ous.</foreign></s>

<s><emph type="italics"/>In contextu Græco omi&longs;imus de indu&longs;tria diagrammata Vve<lb/>cheli, partim par&longs;imonia &longs;umptuum, partim quod po&longs;ata in commen<lb/>tarÿs eorum vtcumque vicem &longs;upplerent. </s>

<s>Si indigeas, ab eo re<lb/>petere licet.<emph.end type="italics"/></s> </chap> </body> <back></back> </text></archimedes>

<s>Si indigeas, ab eo re<lb/>petere licet.<emph.end type="italics"/></s> </chap> </body> <back/> </text></archimedes>

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