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version 1.36, 2003/02/12 00:38:52

version 1.37, 2003/03/01 23:52:41

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</info> <text> <front> </front> <body> <chap> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.001.jpg"/>

</info> <text> <front> <section> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.001.jpg"/>

<s id="id.000001">ARISTOTELIS <lb/>MECHANICA <lb/>Græca, emendata, Latina facta, & <lb/>Commentariis illu&longs;trata. <lb/></s>

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<s id="id.000056">Humillimus &longs;eruus</s>

<s id="id.000057">HENRICVS MONANTHOLIVS.</s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.018.jpg"/>

<s id="id.000057">HENRICVS MONANTHOLIVS.</s></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.018.jpg"/><section>

<s id="id.000058">A D <lb/>HENRICVM IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;&longs;imum.</s>

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<s id="id.000075">RICHARDVS MERCES</s>

<s id="id.000076">Doct. Med. Pari&longs;.</s>

<s id="id.000076">Doct. Med. Pari&longs;.</s></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.019.jpg"/><figure id="id.035.01.019.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.019.1.jpg"/><section>

<s id="id.000077">PRAEFATIO IN <lb/>MECHANICA ARISTO<lb/>TELIS, AD LECTOREM.</s>

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<s id="id.000229">In i&longs;tam igitur inqui&longs;itio<lb/>nem, tractationem, commentationem nobilem, ingenuam <lb/>& philo&longs;ophi non vulgariter vt multi: &longs;ed in Geometria <lb/>magnopere eruditi ingenio digni&longs;&longs;imam, tot magnorum <lb/>virorum exemplo, &longs;i, candide lector, me hortante atque his <lb/>no&longs;trorum commentariorum vigilijs, vtcunque adiuuante, <lb/>diligenter incubueris, tui te laboris, mihi crede, penitebit <lb/>numquam. </s>

<s id="id.000231"><emph type="italics"/>Extraict du Priuilege du Roy.<emph.end type="italics"/></s>

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<s id="id.000235"><foreign lang="fr"><emph type="italics"/>Signé par le Con&longs;eil<emph.end type="italics"/></foreign></s>

<s id="id.000236"><foreign lang="fr"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.</foreign></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.032.jpg"/>

<s id="id.000236"><foreign lang="fr"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.</foreign></s></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.032.jpg"/><section>

<s id="id.000237">INDEX MEMORABILIVM <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">*abussos</foreign> unde. pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferentia 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 opificijs egent &longs;tatione, vel &longs;eßione 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 ponderatione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alourgopw/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 angulus æqualitatis, ideóque quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omnia <expan abbr="quie&longs;c&utilde;t">quie&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 medij 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"/>Archelai regis factum in eclip&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"/>Architecturæ 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 plena.<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">*auto/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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.033.jpg"/><row><cell><emph type="italics"/>Bouilli error, qui putabat rectam iuuen-tam æqualem 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 pedibus ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admiratur.<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/iar</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)nti/xeir,</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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.034.jpg"/><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;ij &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 proijcit, 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 Lhullerij 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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.035.jpg"/><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="põderilus">ponderilus</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligne&utilde;">ligneum</expan> facilius 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> grauius 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">paradocopoioi\.</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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.036.jpg"/><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"/>Nauigij 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;cus 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/gra *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">*ourano/skopos</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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.037.jpg"/><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 peripherijs 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"/>Phalangarij tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangij 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">*po/da e)rei=n,</foreign> <emph type="italics"/>& canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*po/des, & pro/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*poliorkitik*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*polu/spaston.</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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.038.jpg"/><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">*s*h/kwma</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">*stata</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">*qaumatourgik*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 xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.039.jpg"/><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">*zugosta/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 id="id.000238">FINIS.</s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.040.jpg" pagenum="1"/><figure id="id.035.01.040.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.040.1.jpg"/>

<s id="id.000238">FINIS.</s></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.040.jpg" pagenum="1"/><figure id="id.035.01.040.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.040.1.jpg"/></front><body><chap>

<s id="id.000239"><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u*s<lb/>*m*h*x*a*n*i*k*a</foreign>. <lb/>ARISTOTELIS <lb/>MECHANICA.</s>

<s id="id.000241"><foreign lang="greek">Ti e)sti mhxanh\, kai=\ peri\ ku/klou, tw=n e)n toi=s mhxanikoi=s <lb/>qaumasi/wn ai)ti/an e)/xontos.<arrow.to.target n="marg1"/></foreign></s>

<s id="id.000241"><margin.target id="marg1"/>Pro <foreign lang="greek">mhxanh\,</foreign><lb/>lege <foreign lang="greek">mhxani<lb/>kh/.</foreign></s>

<s id="id.000242"><foreign lang="greek">Ti e)sti mhxanh\, kai=\ peri\ ku/klou, tw=n e)n toi=s mhxanikoi=s <lb/>qaumasi/wn ai)ti/an e)/xontos.</foreign></s>

<s id="id.000242"><margin.target id="marg1"/>Pro <foreign lang="greek">mhxanh\,</foreign><lb/>lege <foreign lang="greek">mhxani<lb/>kh/.</foreign></s>

<s id="id.000243"><emph type="italics"/>Quid e&longs;t Mechanice, & de circulo in quo admirabilium, <lb/>quæ &longs;unt in Mechanicis, cau&longs;a continetur.<emph.end type="italics"/></s>

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<s id="id.000310">Admirare modò, nec non venerare.</s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.045.jpg" pagenum="6"/>

<s id="id.000311"><emph type="italics"/>abiecti certè ac be&longs;tias imitantis hominis e&longs;t, quæ ne&longs;ciat, non admi<lb/>rari, & &longs;i curis, negotií&longs;que nece&longs;&longs;arijs vacuus e&longs;t, non inquirere, <lb/>& venerari.<emph.end type="italics"/></s>

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<s id="id.000338">Tum difficultas.] <emph type="italics"/>Naturæ renixus difficultatem facit. </s>

<s id="id.000339">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>

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<s id="id.000396">In&longs;pectura domos venturáque de&longs;uper vrbi.</s>

<s id="id.000397"><emph type="italics"/>quales multæ apud Vegetium & Heronem mechanicum.) bom<lb/>bardas ingentes ad locum destinatum conuertimus.<emph.end type="italics"/></s>

<s id="id.000397"><emph type="italics"/>quales multæ apud Vegetium & Heronem mechanicum.) bom<lb/>bardas ingentes ad locum destinatum conuertimus.<emph.end type="italics"/></s></chap><chap>

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<s id="id.000411">Sunt præterea vitia materiæ quæ Geometra, aut Mechanicus de<lb/>mon&longs;trans non con&longs;iderat: nec etiam ob&longs;tant quo minus quæ propo<lb/>&longs;ita &longs;unt, vera &longs;int in intellectu: Mechanicus igitur operans, priu&longs;<lb/>quam operi &longs;e accingat, ne fru&longs;tretur, con&longs;iderare debet, an quod <lb/>proponitur effici poßit, habita ratione materiæ ex qua, aut per <expan abbr="quã">quam</expan>, <lb/>& circun&longs;tantiarum præ&longs;ertim temporis quod præ&longs;cribitur, & &longs;um<lb/>ptuum quos facere oporteret. </s>

<s id="id.000412">Hæc enim &longs;i abunde &longs;uppetant, nec ma<lb/>teria omnino repugnet, nihil non fieri poterit.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/>

<s id="id.000412">Hæc enim &longs;i abunde &longs;uppetant, nec ma<lb/>teria omnino repugnet, nihil non fieri poterit.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><chap>

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<s id="id.000423">Nam in omni motu mouens præua<lb/>lere debet mobili: hîc exigua potentia e&longs;t mouens: magnum pondus <lb/>e&longs;t mobile: illa quatenus exigua e&longs;t, & ante per &longs;e impotens, atque <lb/>infirma, e&longs;t inæquale minus: hoc quatenus magnum, e&longs;t inæquale <lb/>maius, & ei addito vectis onere maius adhuc effici videtur: non <lb/>igitur exigua potentia magno oneri & adaucto in motu præua<lb/>lere debet. </s>

<s id="id.000424">Si non præualet, non mouet: mouet tamen: Relinquitur <lb/>ergo vt exi&longs;timemus aliquam cau&longs;am in hoc problemate motus eius <lb/>apparentis latentem &longs;ube&longs;&longs;e, dignam Philo&longs;ophi indagatione.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/>

<s id="id.000424">Si non præualet, non mouet: mouet tamen: Relinquitur <lb/>ergo vt exi&longs;timemus aliquam cau&longs;am in hoc problemate motus eius <lb/>apparentis latentem &longs;ube&longs;&longs;e, dignam Philo&longs;ophi indagatione.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><chap>

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<s id="id.000434"><emph type="italics"/>Circulus e&longs;t admirabilis, & admirabilior, quam vectis: quamque <lb/>ea quæ à vecte fiunt.<emph.end type="italics"/></s>

<s id="id.000435"><emph type="italics"/>Ergo à circulo prodire id quod e&longs;t admirabile in vecte, mechani<lb/>ci&longs;que problematis non e&longs;t alienum.<emph.end type="italics"/></s>

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<s id="id.000452">Ibi enim po<lb/>&longs;tulatur, vt è dato centro & interuallo circulum de&longs;cribere conce<lb/>datur. </s>

<s id="id.000453">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 id="id.000454">Ex vno duo ferrea brachia nodo <lb/>Iunxit, vt æquali &longs;patio di&longs;tanti<lb/><figure id="id.035.01.056.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.056.1.jpg"/><lb/>bus ip&longs;is</s>

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<s id="id.000456"><emph type="italics"/>Sit igitur recta A B inter extrema duo<lb/>rum brachiorum circini A C B diua<lb/>ricati per interuallum lineæ A B, <lb/>cuius extremum A maneat: alterum B <lb/>lineæ motu feratur per D quou&longs;que redeat <lb/>ad B: &longs;icque circulus B D B erit fa<lb/>ctus. </s>

<s id="id.000457">Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles.<emph.end type="italics"/></s>

<s id="id.000457">Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles.<emph.end type="italics"/></s></chap><chap>

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<s id="id.000460">Hæc autem ita inter &longs;e di<lb/>&longs;tant, vt <expan abbr="magn&utilde;">magnum</expan> & paruum. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.057.jpg" pagenum="18"/></s>

<s><foreign lang="greek"><gap/></foreign>horum enim medium e&longs;t <lb/>æquale: illorum verò re<lb/>ctum. </s>

<s>horum enim medium e&longs;t <lb/>æquale: illorum verò re<lb/>ctum. </s>

<s id="id.000461">Ideò inuicem cum <lb/>commutantur, priùs ne<lb/>ce&longs;&longs;e e&longs;t æqualia fieri: li<lb/>neam &longs;anè rectam, cum ex <lb/>conuexa fit caua: & rur&longs;us <lb/>ex ip&longs;a fit conuexa & ro<lb/>tunda. </s>

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<s id="id.000486">Hinc intellige, vt id obiter annotem, quod apud Ari&longs;to<lb/>telem memini me legi&longs;&longs;e, nullam paruam mulierem pulchram e&longs;&longs;e, <lb/>quia, quod prima pars e&longs;t pulchritudinis non habet, &longs;ymmetrum &longs;ui <lb/>generis.<emph.end type="italics"/></s>

<s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="greek">to\ a)/topon.</foreign> <emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="greek">qauma/sion</foreign> <emph type="italics"/>&longs;umitur, id e&longs;t igitur e&longs;&longs;e conuexum & concauum <lb/>in linea vnum e&longs;t ex admirabilibus circuli.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/>

<s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="greek">to\ a)/topon.</foreign> <emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="greek">qauma/sion</foreign> <emph type="italics"/>&longs;umitur, id e&longs;t igitur e&longs;&longs;e conuexum & concauum <lb/>in linea vnum e&longs;t ex admirabilibus circuli.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/><chap>

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<s id="id.000511">ex cuius tamen natura magnorum effe<lb/>ctuum po&longs;tea cau&longs;æ repetuntur, cum diametri B D, vt inflexilis <lb/>circa A, centrum fixum motæ, &longs;i B, deprimatur, nece&longs;&longs;e e&longs;t alte<lb/>rum extremum D, attolli: & contra.<emph.end type="italics"/></s>

<s id="id.000512">Propterea vt e&longs;t prius.] <emph type="italics"/>Conclu&longs;io generalis e&longs;t, huc, vt exi<lb/>&longs;timo, è fine primi huius capitis, vbi melius collocaretur, <expan abbrev="trãspo&longs;ita">transpo&longs;ita</expan>, <lb/>quod amplius declarant ea, quæ &longs;ubijciuntur de vecte & libra, ad <lb/>quæ cum referat omnia Mechanica, & ip&longs;a vectis & libra referan-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.061.jpg" pagenum="22"/><emph type="italics"/>tur ad circulum, &longs;equenti etiam capite, quod erat proximum, libræ <lb/>motiones explicat.<emph.end type="italics"/></s>

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<s id="id.000530">Erit igitur peri<lb/>pheria A B C maior: quam peripheria D F G. </s>

<s id="id.000531">Et &longs;ic peripheria <lb/>remotioris puncti à centro maior e&longs;t peripheria puncti centro pro<lb/>pinquioris, quod fuit demon&longs;trandum.<emph.end type="italics"/></s>

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<s id="id.000551">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, pro <lb/>fal&longs;is minime habeamus.<emph.end type="italics"/></s>

<s id="id.000552"><margin.target id="marg12"/>In Menone</s>

<s id="id.000552"><margin.target id="marg12"/>In Menone</s></chap><chap>

<s id="id.000553">2. <foreign lang="greek">*amfi\ zugou= dia\ ti/ e)n tw|= <lb/>ku/klw| h( mei/zwn grammh\ <lb/>qa=tton fe/retai th=s e)lattonos, <lb/>kai\ e)nteu=qen dia\ ti/ ta\ mei/<lb/>zw zuga\ a)kribetera/ e)sti tw=n <lb/>e)latto/nwn.</foreign></s>

<s id="id.000554">2. De libra propter quid <lb/>maior linea in circulo <lb/>celerius fertur, minore. <lb/></s>

<s id="id.000555">Ex quo fit vt libræ ma<lb/>iores minoribus &longs;int <lb/>exactiores.</s>

<s id="id.000557"><expan abbr="Prim&utilde;">Primum</expan> igitur qu&ecedil; circa <expan abbr="li-brã">li<lb/>bram</expan> <expan abbr="cõtingunt">contingunt</expan>, <expan abbr="difficultat&etilde;">difficultatem</expan> <lb/><expan abbr="adfer&utilde;t">adferunt</expan>. </s>

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<s id="id.000583">De <lb/>duabus rectis intra triangulum, rectangulum vel amblygonium <lb/>comprehen&longs;is, quæ maiores con&longs;titui po&longs;&longs;unt ijs à quibus ambiuntur. <lb/></s>

<s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis, <lb/>quam circulorum peripherijs, meritò ante, cum huius proprietatis <lb/>mentio fieret, capite præcedenti peripheriam maioris circuli periphe<lb/>ria minoris maiorem e&longs;&longs;e demon&longs;trauimus, &longs;ed etiam huius magni<lb/>tudinis maioris cau&longs;a, hic ab Ari&longs;totele &longs;ubiungitur.<emph.end type="italics"/></s>

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<s id="id.000616">Et &longs;it manebit demon&longs;tratio.<emph.end type="italics"/></s>

<s id="id.000617">Simile e&longs;t enim.] <foreign lang="greek">tw= lo/gw,</foreign> <emph type="italics"/>id e&longs;t ratione, redundat quia quæ <lb/>&longs;imilia &longs;unt quadrangula, habent latera, quæ circum æquales angu<lb/>los propertionalia, ex def. 1. lib. 6. elem.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/>

<s id="id.000617">Simile e&longs;t enim.] <foreign lang="greek">tw= lo/gw,</foreign> <emph type="italics"/>id e&longs;t ratione, redundat quia quæ <lb/>&longs;imilia &longs;unt quadrangula, habent latera, quæ circum æquales angu<lb/>los propertionalia, ex def. 1. lib. 6. elem.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/><chap>

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<s id="id.000655">Præterea nulla <lb/>harum &longs;implex e&longs;t linea. </s>

<s id="id.000656">Agitur hîc autem de &longs;implicibus tantum, <lb/>quæ vno &longs;implici motu, vel &longs;i duobus, ijs &longs;imilibus creantur, & &longs;i<lb/>milares &longs;unt: quales cum duæ tantum &longs;int recta &longs;cilicet & circula<lb/>ris, inde bene inferetur è po&longs;ita &longs;implicè &longs;i recta non e&longs;t, e&longs;&longs;e cir<lb/>cularis.<emph.end type="italics"/></s>

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<s id="id.000670">Si igitur ferebatur.] <emph type="italics"/>Rur&longs;us totum hunc textum his notis <lb/>[ ] interclu&longs;um inaniter repeti arbitramur. </s>

<s id="id.000671">hoc enim e&longs;t quod an<lb/>tea e&longs;t demon&longs;tratum.<emph.end type="italics"/></s>

<s id="id.000671">hoc enim e&longs;t quod an<lb/>tea e&longs;t demon&longs;tratum.<emph.end type="italics"/></s></chap><chap>

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<s id="id.000687"><emph type="italics"/>Ergo extremum radij minoris mobile plus retrahetur retror<lb/>&longs;um, & ab anteriori repelletur.<emph.end type="italics"/></s>

<s id="id.000688"><emph type="italics"/>Illu&longs;trari hæc <expan abbr="cõclu&longs;io">conclu&longs;io</expan> po&longs;&longs;et &longs;imilitudine ampli & latè patentis re<lb/>gni, in cuius medio tanquam centro, cum rex præ&longs;ideat, partes me<lb/>dio vicinæ regis legibus magis coarctantur & continentur: quam <lb/>remotæ.<emph.end type="italics"/></s>

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<s id="id.000701">Tum qua forma rei acquiritur, qualis latio per circum<lb/>ferentiam, cum hæc &longs;it circuli forma &longs;eu finis. </s>

<s id="id.000702">Relinquitur ergo vt ea <lb/>&longs;it contra <expan abbr="naturã">naturam</expan> & per accidens, qua ad ip&longs;um centrum reuellitur.<emph.end type="italics"/></s>

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<s>Ducatur vero <lb/>recta <foreign lang="greek">a q h, & a q</foreign> excitetur <lb/>perpendicularis ad <foreign lang="greek">a b,</foreign> qu&ecedil; <lb/>&longs;it <foreign lang="greek">q z</foreign> in circulo [minori].</s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.077.jpg" pagenum="38"/>

<s><foreign lang="greek"><gap/></foreign>Et rur&longs;us per <foreign lang="greek">q</foreign> ducatur pa<lb/>rallela ip&longs;i <foreign lang="greek">a b</foreign> quæ &longs;it <foreign lang="greek">q w <lb/>& w n</foreign> perpendicularis ip&longs;i <lb/><foreign lang="greek">a b</foreign> tum & <foreign lang="greek">h k.</foreign></s>

<s>Et rur&longs;us per <foreign lang="greek">q</foreign> ducatur pa<lb/>rallela ip&longs;i <foreign lang="greek">a b</foreign> quæ &longs;it <foreign lang="greek">q w <lb/>& w n</foreign> perpendicularis ip&longs;i <lb/><foreign lang="greek">a b</foreign> tum & <foreign lang="greek">h k.</foreign></s>

<s>Sunt vero <lb/><foreign lang="greek">w n & q z</foreign> æquales. </s>

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<s id="id.000773">Nam &longs;inus tam <lb/>rectus quam ver&longs;us, quibus rationis harum lationum termini expri<lb/>muntur, vt &longs;int rectæ lineæ: hæ tamen non ad vnguem arcus &longs;uos <lb/>metiuntur. </s>

<s id="id.000774">Et &longs;ic in nulla &longs;unt ratione ad vnguem expre&longs;&longs;a: &longs;unt ta<lb/>men vt hic quodammodo, & vt aiunt ferè.<emph.end type="italics"/></s>

<s id="id.000774">Et &longs;ic in nulla &longs;unt ratione ad vnguem expre&longs;&longs;a: &longs;unt ta<lb/>men vt hic quodammodo, & vt aiunt ferè.<emph.end type="italics"/></s></chap><chap>

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<s>Sicque erit vt<emph.end type="italics"/> <foreign lang="greek">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">x z</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="greek">h k</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">k b,</foreign><lb/><emph type="italics"/>& alternatim vt<emph.end type="italics"/> <foreign lang="greek">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h k</foreign><emph type="italics"/>: &longs;ic<emph.end type="italics"/> <foreign lang="greek">x z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">k b</foreign> <emph type="italics"/>prop. 16. lib. 5.<emph.end type="italics"/></s>

<s id="id.000795">Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi<lb/>tur punctum à centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere.<emph.end type="italics"/></s>

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<s id="id.000811">His ita declaratis, ilico ex præ<lb/>cedentibus con&longs;tat, quod C centro fixo, &longs;i A C vel C B lineæ quæ <lb/>ex centro, moueantur, de&longs;cribent circulum pro &longs;uo interuallo, in <lb/>minore librili, minorem: in maiore maiorem: &longs;icque cum magnitudo <lb/>&longs;patij motu tran&longs;iti, quò maior, eò vi&longs;ibilior, & quò etiam librilis <lb/>pars maior, eò mobilior, citius ex æquali pondere, & magis mouebitur <lb/>librile maius: <expan abbr="quã">quam</expan> minus, proinde etiam erit exactius. </s>

<s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet.<emph.end type="italics"/></s>

<s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet.<emph.end type="italics"/></s></chap><chap>

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<s id="id.000845">Hunc in medijs fau<lb/>cibus conchæ gerunt, candida quadam vena conclu&longs;um colore ni<lb/>gricantis ro&longs;æ pellucidum.<emph.end type="italics"/></s>

<s id="id.000847">3. <foreign lang="greek">*dia\ ti\ e)a\n me\n a)/nwqen h(=| to\ <lb/>spa/rtion, o(/tan a)qerh| to\ ba/<lb/>ros, pa/lin a)naqe/retai to\ zu<lb/>go/n: de\ ka/twqen, me/nei.</foreign></s>

<s id="id.000848">3. Propter quid, &longs;i in &longs;upe<lb/>riore librilis parte fuerit <lb/>agina, <expan abbr="quãdo">quando</expan> <expan abbr="põdus">pondus</expan>, ali<lb/>quod depre&longs;&longs;erit, rur&longs;us <lb/>librile referatur: At &longs;i in <lb/>inferiore, non refertur.</s>

<s id="id.000850">Propter quid &longs;i in &longs;upe<lb/>riore librilis parte fuerit <lb/>agina, cum præ <expan abbr="põdere">pondere</expan> <expan abbr="de-mi&longs;s&utilde;">de<lb/>mi&longs;sum</expan> e&longs;t, hoc &longs;ublato rur<lb/>&longs;us redit: Sed &longs;i in inferiore <lb/>fuerit, <expan abbr="nõ">non</expan> redit, &longs;ed manet? <lb/></s>

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<s id="id.000897">Et &longs;ic patet &longs;olutio tertiæ partis huius problematis ab Ari&longs;totele <lb/>prætermi&longs;&longs;æ. </s>

<s id="id.000898">Rarò tamen huic demon&longs;trationi licet veræ, experien<lb/>tia re&longs;pondet, propter in&longs;trumentorum materiam Phy&longs;icam, in qua <lb/>exacte medium con&longs;tituere non datur in puncto geometrico, vtcum<lb/>que tamen alias re&longs;pondet.<emph.end type="italics"/></s>

<s id="id.000899">4. <foreign lang="greek">*tou= moxlou= duna/mews ai)/tion.</foreign></s>

<s id="id.000900">4. Potentiæ vectis cau&longs;a.</s>

<s id="id.000902"><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>

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<s id="id.000907">ambæ enim &longs;tant vt <lb/>centrum. </s>

<s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde<lb/>re mouetur radius maior. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/>

<s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde<lb/>re mouetur radius maior. </s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><chap>

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<s id="id.000948"><emph type="italics"/>Vectis e&longs;t libra deor&longs;um habens <expan abbr="aginã">aginam</expan>, & brachium vnum <lb/>longius (agina enim &longs;eu centrum fit hypomochlium, & <lb/>quidem ita vt ip&longs;am diuidat in partes inæquales, è quibus <lb/>quæ ad caput longior &longs;it, alioqui aliter in v&longs;um adhibitus <lb/>vis mouens non magis mouere pote&longs;t, quam &longs;ine vecte.)<emph.end type="italics"/></s>

<s id="id.000949"><emph type="italics"/>Ergo vectis facile deprimetur, depre&longs;&longs;u&longs;que manebit, & ad eius <lb/>motum pondus incumbens mouebitur.<emph.end type="italics"/></s>

<s id="id.000951">Quod autem e&longs;t mobile <lb/>ad mouens, id e&longs;t longitu<lb/>do ad longitudinem reci<lb/>procè. </s>

<s id="id.000952">Semper &longs;ane quantò <lb/>longitudo magis di&longs;tabit à <lb/>pre&longs;&longs;ione, facilius mouebit. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.097.jpg" pagenum="58"/>

<s id="id.000952">Semper &longs;ane quantò <lb/>longitudo magis di&longs;tabit à <lb/>pre&longs;&longs;ione, facilius mouebit. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.097.jpg" pagenum="58"/>

<s><foreign lang="greek"><gap/></foreign>Cau&longs;a vero ante dicta e&longs;t: <lb/>quoniam radius maior ma<lb/>iorem de&longs;cribit circulum. <lb/></s>

<s>Cau&longs;a vero ante dicta e&longs;t: <lb/>quoniam radius maior ma<lb/>iorem de&longs;cribit circulum. <lb/></s>

<s id="id.000953">Itaque ab eadem vi plus <lb/>mutabitur mouens illud, <lb/>quod plus di&longs;tat à pre&longs;&longs;io<lb/>ne. </s>

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<s id="id.000991">E&longs;t <lb/>autem hic vectis<emph.end type="italics"/> <foreign lang="greek">b a,</foreign> <emph type="italics"/>vt diameter circuli cuius extremum<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>deor<lb/>&longs;um cum ad<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>mouetur, alterum<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&longs;ur&longs;um &longs;imul moueri vt ad<emph.end type="italics"/> <foreign lang="greek">k,</foreign> <emph type="italics"/>ne<lb/>ce&longs;&longs;um e&longs;t. </s>

<s id="id.000992">Et ex his denique contendit Ari&longs;toteles o&longs;tendere circula<lb/>rem motum omnium machinationum principia in &longs;e continere, vt <lb/>multis po&longs;tea &longs;pecialibus exemplis declarabit, in quibus & alijs om<lb/>nibus, qui &longs;citè di&longs;tinguet, quid oneri re&longs;pondeat, pro quo &longs;it vectis, <lb/>quale &longs;it hypomochlium, vnde vis mouens habeatur, hic habebit <lb/>abundè, quid &longs;entiendum &longs;it.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/>

<s id="id.000992">Et ex his denique contendit Ari&longs;toteles o&longs;tendere circula<lb/>rem motum omnium machinationum principia in &longs;e continere, vt <lb/>multis po&longs;tea &longs;pecialibus exemplis declarabit, in quibus & alijs om<lb/>nibus, qui &longs;citè di&longs;tinguet, quid oneri re&longs;pondeat, pro quo &longs;it vectis, <lb/>quale &longs;it hypomochlium, vnde vis mouens habeatur, hic habebit <lb/>abundè, quid &longs;entiendum &longs;it.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><chap>

<s id="id.000993">5. <foreign lang="greek">*dia\ ti/ oi( meso/neoi ma/lista <lb/> th\n nau=n kinou=si.</foreign></s>

<s id="id.000994">5. Cur nauim mouent ma<lb/>xime remiges, qui in <lb/>media naui &longs;edent.</s>

<s id="id.000996">Cur nauim <expan abbr="mou&etilde;t">mouent</expan> maxi<lb/>me remiges mediani? </s>

<s id="id.000997">An qa <lb/>remus e&longs;t vectis, pre&longs;&longs;io <expan abbr="&longs;i-quid&etilde;">&longs;i<lb/>quidem</expan> &longs;calmus efficitur. </s>

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<s id="id.001135">E&longs;t autem palmula eorum <lb/>qui &longs;unt in medio nauis, quæ intra aquam, radius maior: quam pal<lb/>mula aliorum, & &longs;ic maius &longs;patium peragrat.<emph.end type="italics"/></s>

<s id="id.001136">Propter id remiges.] <emph type="italics"/>Conclu&longs;io e&longs;t primarij &longs;yllogi&longs;mi cum <lb/>repetione cau&longs;æ eiu&longs;dem.<emph.end type="italics"/></s>

<s id="id.001137">6. <foreign lang="greek">*tou= phdali/ou duna/mews <lb/>ai)/tion, kai\ tou= ma=llon proe/r<lb/>xesqai ei)s tou)nantioon to\ <lb/>ploi=on, h)\ th\n th=s kw/phs <lb/> pla/thn.</foreign></s>

<s id="id.001138">6. Potentiæ gubernaculi <lb/>cau&longs;a, & quod <expan abbr="nauigi&utilde;">nauigium</expan> <lb/>magis in <expan abbr="contrari&utilde;">contrarium</expan> pro<lb/>cedat: quam remi pal<lb/>mula.</s>

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<s id="id.001219">In extremo autem, non <lb/>in medio po&longs;itum e&longs;t. </s>

<s>In extremo autem, non <lb/>in medio po&longs;itum e&longs;t. </s>

<s id="id.001220">quia <lb/>motor, id quod iam moue<lb/>tur, facillime ab extremo <lb/><expan abbr="cõmouet">commouet</expan>. </s>

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<s id="id.001262">Nam rectæ ab A puncto Cardini re&longs;pondente in ima parte na<lb/>uis propè puppis extremum ad extremum proræ id e&longs;t A D, A C <lb/>longè maiores &longs;unt breuißimis ijs, quæ &longs;unt ab <expan abbr="eod&etilde;">eodem</expan> puncto A ad ex<lb/>tremum puppis A B, A E. </s>

<s id="id.001263">Peragrabit igitur prora D lineam C B <lb/>longè maiorem, cum B peragrabit B E multo minorem.<emph.end type="italics"/></s>

<s id="id.001263">Peragrabit igitur prora D lineam C B <lb/>longè maiorem, cum B peragrabit B E multo minorem.<emph.end type="italics"/></s></chap><chap>

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<s id="id.001436">Po&longs;tremo cum nauis longius progreditur: quam palmula <lb/>regreditur: minus quo que interuallum decurrit: quam caput remi, & <lb/>&longs;ic non æquale. </s>

<s id="id.001437">Atque hæc cum &longs;int &longs;uis veris demon&longs;trationibus <lb/>&longs;tabilita Ari&longs;totelem in hoc problemate dormita&longs;&longs;e, quod aliquando <lb/>bono Homero contingit, conuincunt.<emph.end type="italics"/></s>

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<s id="id.001452">Id nunc adiungit. </s>

<s id="id.001453">E&longs;t autem cardo cui puppis <lb/>nauis annectitur non aliter quam &longs;calmo remus, vt & circa cardi<lb/>nem gubernaculum vertitur, &longs;icut circa &longs;calmum remus.<emph.end type="italics"/></s>

<s id="id.001454"><foreign lang="greek">*th=s kerai/as duna/menews ai)/tion.</foreign></s>

<s id="id.001455">7. Cau&longs;a pote&longs;tatis <lb/>Antemnæ.</s>

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<s id="id.001496">Quin &longs;i nimium adhuc venti &longs;æuiant, <lb/>dolonem demittant adhuc infra magis, quin & ip&longs;um malum etiam <lb/>&longs;ublato velo, aut circa antemnam implexo & inuoluto, & ne nauis <lb/>obruatur, antror&longs;um. </s>

<s id="id.001497">Hæc enim pars vim <expan abbr="ventor&utilde;">ventorum</expan> omnem excipit: <lb/>gubernatores etiam puppim multa arena, lapilli&longs;que onerare, &longs;i de&longs;it <lb/>aliud onus, &longs;olent.<emph.end type="italics"/></s>

<s id="id.001498"><foreign lang="greek">*dia\ ti/ o(/tan e)kkerai/as bou/<lb/>lwntai diadramei=n po/da poiou=si.</foreign></s>

<s id="id.001499">8. Cur quando è cornu vo<lb/>lunt nauigare pedem fa<lb/>ciunt.</s>

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<s>Reliquus igitur G P Q <lb/>reliquo G A E minor erit, & ita de cæteris. </s>

<s id="id.001577">Sicque nauis proce&longs;&longs;u <lb/>&longs;uo mutabit &longs;en&longs;im temonem, vt & vela.<emph.end type="italics"/></s>

<s id="id.001577">Sicque nauis proce&longs;&longs;u <lb/>&longs;uo mutabit &longs;en&longs;im temonem, vt & vela.<emph.end type="italics"/></s></chap><chap>

<s id="id.001578"><foreign lang="greek">*dia\ ti/ ta\ periferh= tw=n sxhma/twn eu)kinhto/tera.</foreign></s>

<s id="id.001579">9. Cur è figuris rotundæ <lb/>&longs;unt mobiliores.</s>

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<s id="id.001662">Imò vero plana exqui&longs;ita iun<lb/>cta &longs;ine ferruminatione &longs;eparari nequeunt, &longs;i &longs;uperius leuiter ap<lb/>prehen&longs;um ab inferiore di&longs;iungere quis conetur. </s>

<s id="id.001663">Rationem &longs;i vis <lb/>aliquam, vide apud Scaligerum exercit. 333. <emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.144.jpg" pagenum="105"/>

<s id="id.001663">Rationem &longs;i vis <lb/>aliquam, vide apud Scaligerum exercit. 333. <emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.144.jpg" pagenum="105"/><chap>

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<s id="id.001681">Sic<lb/>que tanta pars e&longs;t <lb/>ad G, quanta ad H. </s>

<s id="id.001682">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 id="id.001682">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></chap><chap>

<s id="id.001685">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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<s id="id.001741">In facto enim circulo, vel glo<lb/>bo naturali quatenus particeps e&longs;&longs;et grauitatis reuera motus natura<lb/>lis e&longs;t is, quò rectà deor&longs;um fertur. </s>

<s id="id.001742">Sed eo impedito ob planum cui in<lb/>cumbit non cedens, per vim aliquam impul&longs;us globus ad motum cir<lb/>cularem &longs;e recipit.<emph.end type="italics"/></s>

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<s id="id.001788">Mouen<lb/>tur enim pul&longs;u primum, deinde tractu. </s>

<s id="id.001789">Commodius autem pellit, <lb/>quod grauius e&longs;t.<emph.end type="italics"/></s>

<s id="id.001789">Commodius autem pellit, <lb/>quod grauius e&longs;t.<emph.end type="italics"/></s></chap><chap>

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<s id="id.001809">vnde petorita no&longs;tra rotis in orbita ferreis prædita <lb/>difficilius trahuntur, quam<emph.end type="italics"/><lb/><figure id="id.035.01.152.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.152.1.jpg"/><lb/><emph type="italics"/>nobilium Polonorum, quæ ex <lb/>ligno &longs;olo compacta &longs;unt.<emph.end type="italics"/></s>

<s id="id.001810">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 id="id.001830">Et contrà <lb/>quò circulus mi<lb/>nor, eò angulus <lb/>contactus maior <lb/>euadit. </s>

<s id="id.001831">vt angu<lb/>lus A B C ro<lb/>tæ maioris mi<lb/>nor e&longs;t angulo <lb/>A B D rotæ <lb/>minoris: & con<lb/>trà vtrolibet <lb/>maior e&longs;t angu<lb/>lus A B E rotæ minoris.<emph.end type="italics"/></s>

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<s id="id.001879">Manus quidem.] <emph type="italics"/>Manus apud veteres, vt videre e&longs;t apud <lb/>Gal. 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>

<s id="id.001881">Hæc et&longs;i commoueatur cum fundam rotat tanquam manens loco, <lb/>tamen & centrum habetur, funda autem radius e&longs;t: at cum &longs;ine fun<lb/>da proiectio fit, articulus quo brachium cum humero connectitur, <lb/>videtur potius habere rationem centri, & brachium cum cubito, & <lb/>extrema manu rationem lineæ à centro.<emph.end type="italics"/></s>

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<s id="id.001912">Rege nunc no&longs;tro magnifi<lb/>centißimo de&longs;iderat, ea in parte, qua flumen à &longs;chola S. Germani <lb/>ad plateam Augu&longs;tinorum traducitur. </s>

<s id="id.001913">Hanc, vt &longs;pero, exorabit cla<lb/>rißimus vir dominus Marlyius rationum regiarum præ&longs;es, & mer<lb/>catorum præfectus dignißimus.<emph.end type="italics"/></s>

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<s id="id.001938">Vt & cum cru<lb/>ris arietini os nudatum perio&longs;tio, & manus eo, qui ad pollicem e&longs;t <lb/>monticulo atque hypothenare &longs;u&longs;tentum dor&longs;i gladij ad medium ce<lb/>leriter adacti vno ictu &longs;ine manus offen&longs;ione frangitur, contrà, <lb/>quam in fu&longs;te è genu fracto. </s>

<s id="id.001939">Hæc vulgaria &longs;unt, &longs;ed cau&longs;a non vti<lb/>que vulgaris.<emph.end type="italics"/></s>

<s id="id.001939">Hæc vulgaria &longs;unt, &longs;ed cau&longs;a non vti<lb/>que vulgaris.<emph.end type="italics"/></s></chap><chap>

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<s id="id.001962">Semper atteri.] <emph type="italics"/>Vt Gutta &longs;æpius cadendo lapidem immotum <lb/>cauat: &longs;ic aqua in vertiginem commotum atterit.<emph.end type="italics"/></s>

<s id="id.001963">Gutta cauat lapidem, con&longs;umitur annulus v&longs;u.</s>

<s id="id.001963">Gutta cauat lapidem, con&longs;umitur annulus v&longs;u.</s></chap><chap>

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<s id="id.001990">Curuatio enim à fractura non differt, ni&longs;i &longs;ecundum magis <lb/>& minus. </s>

<s id="id.001991">Si plus enim curuatur: quam vnitas partium ferat, &longs;olui<lb/>tur continuum, & &longs;ic frangitur.<emph.end type="italics"/></s>

<s id="id.001991">Si plus enim curuatur: quam vnitas partium ferat, &longs;olui<lb/>tur continuum, & &longs;ic frangitur.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002087">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 id="id.002104"><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>

<s id="id.002105">funis primò alligari de<lb/>bet vnco, qui e&longs;t in ea, & cir<lb/>cum agi circa &longs;uperiorem orbicu<lb/>lorum inferioris trochleæ, ita vt <lb/>a&longs;cendens circum inferiorem &longs;u<lb/>perioris, deuoluatur po&longs;tea circa <lb/>inferiorem inferioris, & reuol<lb/>uatur adhuc circa &longs;uperiorem &longs;u<lb/>perioris, habens tandem initium <lb/>&longs;ui in G vbi motor intelligitur.<emph.end type="italics"/></s>

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<s id="id.002144"><emph type="italics"/>In hac machina igitur hæc duo in<lb/>&longs;unt, facilitas motionis ob multitudi<lb/>nem trochlearum, & celeritas motio<lb/>nis. </s>

<s id="id.002145">quia quanto temporis &longs;patio extre<lb/>mum funiculi L ab A transfertur <lb/>ad harpagonem V, eodem pondus E <lb/>ex infimo loco &longs;ur&longs;um per decuplam <lb/>longitudinem & amplius, &longs;i quis vo<lb/>let, euehitur, aut contra.<emph.end type="italics"/></s>

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<s>Tran&longs;tulit.</s>

<s id="id.002213">Ann. M.D. LXXXV. Pont. II. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.183.jpg" pagenum="144"/>

<s id="id.002213">Ann. M.D. LXXXV. Pont. II. </s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.183.jpg" pagenum="144"/><chap>

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<s id="id.002227"><emph type="italics"/>Ergo magna &longs;ecuris feriens &longs;ecabit: impo&longs;ita vero minimè.<emph.end type="italics"/></s>

<s id="id.002228">Motione grauitatis.] <foreign lang="greek">ki/nhsis tou= ba/rous</foreign> <emph type="italics"/>e&longs;t motus cuique <lb/>graui occultus inhærens.<emph.end type="italics"/></s>

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<s id="id.002250"><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s>

<s id="id.002251"><margin.target id="marg35"/>Exerc. 331.</s>

<s id="id.002251"><margin.target id="marg35"/>Exerc. 331.</s></chap><chap>

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<s id="id.002299">Notandum etiam pondus impo&longs;itum lanci e&longs;&longs;e perinde <lb/>atque &longs;i in puncto A imponeretur. </s>

<s id="id.002300">Sed de his qui multò plura vide<lb/>re volet, videat apud Cardanum lib. 1. de &longs;ubtilitate.<emph.end type="italics"/></s>

<s id="id.002300">Sed de his qui multò plura vide<lb/>re volet, videat apud Cardanum lib. 1. de &longs;ubtilitate.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002309">Indicat enim modum, quo cogno&longs;catur <expan abbr="põderationis">ponderationis</expan> <lb/>æquilibrium. </s>

<s id="id.002310">quod e&longs;t vbi in appendendo &longs;capus &longs;tateræ cum an&longs;a <lb/>rectos con&longs;tituit angulos, tuncque e&longs;t parallellus plano horizontis.<emph.end type="italics"/></s>

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<s id="id.002347">Exempli gratia &longs;it di&longs;tantia C B tripla ad <lb/>C F, erit pondus G triplum ponderis D. </s>

<s>quod demon&longs;trare oportebat.<emph.end type="italics"/></s>

<s>quod demon&longs;trare oportebat.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002383">quia motus non fit &longs;ecundum rectam: at in dente eximen<lb/>do, non datur locus tali coaptationi propter gingiuæ &longs;ubiectæ molli<lb/>ciem, & eiu&longs;dem læ&longs;ionis periculum, & vt daretur dens potius &longs;ic <lb/>frangeretur: quam contorqueretur, &longs;icque è parte tantum eximeretur <lb/>magno dolor is augmento, & reliquæ partis incommodo. </s>

<s id="id.002384">Itaque rectà <lb/>&longs;ur&longs;um educi po&longs;tulat, quod melius fit manu ob apprehen&longs;ionis vndi-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.194.jpg" pagenum="155"/><emph type="italics"/>quaque factæ, vt antea dictum e&longs;t, commoditatem <expan abbr="maior&etilde;">maiorem</expan>, & rectæ <lb/>eleuationis nullis propemodum viribus indigæ opportunitatem.<emph.end type="italics"/></s>

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<s id="id.002423"><emph type="italics"/>Itaque nucifrangibulum nucem facile &longs;ine ictu franget.<emph.end type="italics"/></s>

<s id="id.002424">Quantò igitur.] <emph type="italics"/>Repetitio e&longs;t eiu&longs;dem &longs;uperflua.<emph.end type="italics"/></s>

<s id="id.002424">Quantò igitur.] <emph type="italics"/>Repetitio e&longs;t eiu&longs;dem &longs;uperflua.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002476">Nam <lb/>& dimidius recti, qui acutus e&longs;t, e&longs;t eo minor prop. 15. lib. 5. </s>

<s id="id.002477">Ergo in <lb/>tali Rhombo latus A B per A C vna latione motum, plus &longs;patij <lb/>confecit: quam B, quod peragrans B C duabus lationibus ferebatur.<emph.end type="italics"/></s>

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<s id="id.002510">In rebus etiam artificialibus <lb/>gladius acuta &longs;ui acie facile &longs;ecat: obtu&longs;a non item. </s>

<s id="id.002511">Hæc cum ita <lb/>&longs;int nemini ab&longs;urdum videri debet, duo puncta duabus motionibus <lb/>æquali celeritate mota non æquale pertran&longs;ire &longs;patium: &longs;ed mu&longs;tò <lb/>plus maiu&longs;que illorum alterum, vt ex Rhombi natura certò demon<lb/>&longs;tratum e&longs;t.<emph.end type="italics"/></s>

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<s>Igitur in vtroque modo orbitæ concen<lb/>tricorum inæqualium &longs;unt æquales.<emph.end type="italics"/></s>

<s id="id.002548">Atque id nulla.] <emph type="italics"/>Cau&longs;am admirabilis huius aduentus, quæ <lb/>adferri potui&longs;&longs;et, In primò quidem modo ex tarditate & mora <lb/>maioris circuli in quibu&longs;dam rectæ lineæ punctis, dum minor <lb/>circulus ip&longs;am peragrat: In &longs;ecundo verò modo ex tran&longs;ultu minoris <lb/>qua&longs;i exiliat, nec &longs;imul omnia puncta rectæ attingat: &longs;ed tran&longs;iliat <lb/>minor, dum maior contra omnia attingat peragrando, reijcit, mo<lb/>ramque nullam in hoc intercedere, neque tran&longs;ultum in i&longs;to: &longs;ed <lb/>vtriu&longs;que continuas motiones e&longs;&longs;e dicit, quia vnica latio e&longs;t.<emph.end type="italics"/></s>

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<s id="id.002553">Cæterum princi<lb/>pium &longs;umatur ex vtriu&longs;que <lb/>cau&longs;a, quod eadem vis, & <lb/>æqualis vnam quidem <expan abbr="ma-gnitudin&utilde;">ma<lb/>gnitudinum</expan> tardius: alteram <lb/>celerius moueat. </s>

<s id="id.002554">Si quid <lb/>enim fuerit non à &longs;eip&longs;o <lb/>moueri <expan abbr="nat&utilde;">natum</expan>, & <expan abbr="ips&utilde;">ipsum</expan> aliud <lb/>quod moueri <expan abbr="nat&utilde;">natum</expan> &longs;it mo<lb/>uerit, tardius mouebitur: <lb/><expan abbr="quã">quam</expan> &longs;i <expan abbr="ips&utilde;">ipsum</expan> p &longs;e moueretur. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.208.jpg" pagenum="169"/>

<s id="id.002554">Si quid <lb/>enim fuerit non à &longs;eip&longs;o <lb/>moueri <expan abbr="nat&utilde;">natum</expan>, & <expan abbr="ips&utilde;">ipsum</expan> aliud <lb/>quod moueri <expan abbr="nat&utilde;">natum</expan> &longs;it mo<lb/>uerit, tardius mouebitur: <lb/><expan abbr="quã">quam</expan> &longs;i <expan abbr="ips&utilde;">ipsum</expan> p &longs;e moueretur. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.208.jpg" pagenum="169"/>

<s><foreign lang="greek"><gap/></foreign>Et &longs;i quidem <expan abbr="nat&utilde;">natum</expan> &longs;it mo<lb/>ueri, neque <expan abbr="aut&etilde;">autem</expan> &longs;imul mo<lb/>ueatur, &longs;imiliter &longs;e habebit. <lb/></s>

<s>Et &longs;i quidem <expan abbr="nat&utilde;">natum</expan> &longs;it mo<lb/>ueri, neque <expan abbr="aut&etilde;">autem</expan> &longs;imul mo<lb/>ueatur, &longs;imiliter &longs;e habebit. <lb/></s>

<s id="id.002555">Et vt plus moueatur: quam <lb/>quod mouet, fieri non po<lb/>te&longs;t. </s>

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<s id="id.002564">Similiter &longs;i magnus <lb/><expan abbr="paru&utilde;">paruum</expan> mouerit: <expan abbr="tant&utilde;">tantum</expan> paruus, <expan abbr="quant&utilde;">quantum</expan> magnus motus erit. <lb/></s>

<s id="id.002565">per &longs;e <expan abbr="quid&etilde;">quidem</expan> motus vtrouis modo &longs;eu celeriter: &longs;eu tardè. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.209.jpg" pagenum="170"/>

<s id="id.002565">per &longs;e <expan abbr="quid&etilde;">quidem</expan> motus vtrouis modo &longs;eu celeriter: &longs;eu tardè. </s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.209.jpg" pagenum="170"/><chap>

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<s id="id.002588">Nam maioris peripheria impul&longs;a, vel per axem tracta, ob nutum di<lb/>midiæ partis perpetuum, de quo ante, conuoluitur potius: quam vno <lb/>puncto eodemque &longs;emper tangente planum gli&longs;cat. </s>

<s id="id.002589">Cau&longs;a enim motus <lb/>rotæ &longs;emper e&longs;t in circulo eius maximo: at quod minor vt<emph.end type="italics"/> <foreign lang="greek">h e</foreign> <emph type="italics"/>primo <lb/>moueatur, & ad eius motum maior, capi mente difficilius paulò, ta<lb/>men & capi pote&longs;t, &longs;i imaginemur volutationibus inæqualium dua<lb/>rum rotarum &longs;ic annexarum, vt &longs;upponitur, &longs;upponi duo plana inæ<lb/>qualiter alta, & ita vt vnum vnam è rotis, alterum alteram &longs;u&longs;ti<lb/>neat, & tunc imaginemur ad minoris motum rotæ maiorem moueri <lb/>& rapi.<emph.end type="italics"/></s>

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<s id="id.002634"><margin.target id="marg40"/>Vide penul<lb/>timum dia <lb/>gramma.</s>

<s id="id.002634"><margin.target id="marg40"/>Vide penul<lb/>timum dia <lb/>gramma.</s></chap><chap>

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<s id="id.002660"><emph type="italics"/>Sed de moderatis hominibus, quibus hæc lecti latitudo conueniens <lb/>erit. </s>

<s id="id.002661">Hinc &longs;i duo in eodem lecto iacere debeant, latitudinem pro ra<lb/>tione tantum augendam, non longitudinem lecti con&longs;tat.<emph.end type="italics"/></s>

<s id="id.002661">Hinc &longs;i duo in eodem lecto iacere debeant, latitudinem pro ra<lb/>tione tantum augendam, non longitudinem lecti con&longs;tat.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002684">Vt autem &longs;int <lb/>parui pretij, ab&longs;tinendum tamen à &longs;uperfluis. </s>

<s id="id.002685">fru&longs;trà enim fit per plu<lb/>ra, quod fieri pote&longs;t per pauciora.<emph.end type="italics"/></s>

<s id="id.002685">fru&longs;trà enim fit per plu<lb/>ra, quod fieri pote&longs;t per pauciora.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002740">Similiter & aliæ.] <emph type="italics"/>Ex tribus diagrammatis in contextu de&longs;cri<lb/>ptis quod &longs;ecundum e&longs;t o&longs;tendit, exten&longs;ionem funium breuiorem ea, <lb/>quæ in primo, & tertio e&longs;t, vt argumento problematis conuenire vi<lb/>deatur. </s>

<s id="id.002741">E&longs;t enim <expan abbr="lõgitudo">longitudo</expan> funium in eo duntaxat 28. pedum cum 4/5 <lb/>vnius pedis: cum in primò &longs;it 34. pedum ferè, & in tertio 40 1/2 fere.<emph.end type="italics"/></s>

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<s id="id.002758"><emph type="italics"/>At lignum longum facilius per medium: quam per extre<lb/>mum eleuatur.<emph.end type="italics"/></s>

<s id="id.002759"><emph type="italics"/>Ergo lignum longum facilius ex humero fertur per medium: <lb/>quam per extremum.<emph.end type="italics"/></s>

<s id="id.002759"><emph type="italics"/>Ergo lignum longum facilius ex humero fertur per medium: <lb/>quam per extremum.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002776">Præterea in perpendiculari ip&longs;a lancea to<lb/>ta pondus e&longs;t. </s>

<s id="id.002777">Huic &longs;u&longs;tinendæ quæ vis<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.225.jpg" pagenum="186"/><emph type="italics"/>&longs;ufficiet, &longs;ufficiet &<emph.end type="italics"/><lb/><figure id="id.035.01.225.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.225.1.jpg"/><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 id="id.002803">Præterea cum progreßio fiat impul&longs;ione vnius cru<lb/>ris, & tractione, tum impul&longs;ione alterius, melius e&longs;t aliud, quod plus <lb/>impul&longs;ione & tractione valet ab onere liberari. </s>

<s id="id.002804">E&longs;t <expan abbr="aut&etilde;">autem</expan> <expan abbr="dextr&utilde;">dextrum</expan> crus.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.227.jpg" pagenum="188"/>

<s id="id.002804">E&longs;t <expan abbr="aut&etilde;">autem</expan> <expan abbr="dextr&utilde;">dextrum</expan> crus.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.227.jpg" pagenum="188"/><chap>

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<s id="id.002835">Et &longs;ic facilius B <lb/>attolletur cum annexa &longs;itula. </s>

<s id="id.002836">Po&longs;&longs;et etiam hæc quæ&longs;tio ad libram <lb/>commodißimè referri.<emph.end type="italics"/></s>

<s id="id.002836">Po&longs;&longs;et etiam hæc quæ&longs;tio ad libram <lb/>commodißimè referri.<emph.end type="italics"/></s></chap><chap>

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<s id="id.002869">Et &longs;ic E plus <lb/>de&longs;cendit re&longs;pectu B: quam re&longs;pectu A. </s>

<s id="id.002870">Igitur E plus grauat B: <lb/>quam A &longs;eu ex cau&longs;a, quod magis premat: &longs;eu ex effectu, quod ma<lb/>gis de&longs;cenderit.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.232.jpg" pagenum="193"/>

<s id="id.002870">Igitur E plus grauat B: <lb/>quam A &longs;eu ex cau&longs;a, quod magis premat: &longs;eu ex effectu, quod ma<lb/>gis de&longs;cenderit.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.232.jpg" pagenum="193"/><chap>

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<s id="id.002975">Hinc etiam collige cur baiulis cum <lb/>onere a&longs;cen&longs;us graduum facilior e&longs;t: quam de&longs;cen&longs;us. </s>

<s id="id.002976">In a&longs;cen&longs;u enim <lb/>quantum antror&longs;um &longs;e incuruent, nullum inde illis ca&longs;us periculum: <lb/>at in de&longs;cen&longs;iu vel exigua illis curuatura periculum adfert, ex quo <lb/><expan abbr="etiã">etiam</expan> rarò videas, ni&longs;i ebiberint plus paulò, baiulos <expan abbr="c&utilde;">cum</expan> onere de&longs;cendere, <lb/>a&longs;cendere autem, quoties opus e&longs;t.<emph.end type="italics"/></s>

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<s id="id.003016">Tunc igitur minus <lb/>violento. </s>

<s id="id.003017">Ergo commotus facilius mouebitur: quam quie&longs;cens vel <lb/>incipiens moueri.<emph.end type="italics"/></s>

<s id="id.003017">Ergo commotus facilius mouebitur: quam quie&longs;cens vel <lb/>incipiens moueri.<emph.end type="italics"/></s></chap><chap>

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<s id="id.003044">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 id="id.003045">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. cap. 8. lib. 2. de v&longs;. part.<emph.end type="italics"/></s>

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<s id="id.003057">Cui vt re&longs;pondeat ad cau&longs;am præcedentem, vim &longs;cilicet impre&longs;&longs;am <lb/>à primo motore adijcit medij, per quod proijcitur antiperi&longs;ta&longs;im. </s>

<s id="id.003058">Cum <lb/>enim proiectum primo antror&longs;um dimouerit medium vt aërem, hic <lb/>&longs;umma celeritate retrò proiectus, ne vacuum quid (quod abhorret <lb/>natura) relinquatur, conuolat: & &longs;ic deinceps, ita vt quantum aër <lb/>anterior ob re&longs;i&longs;tentiam impediuit, factus po&longs;terior cum concur&longs;u <lb/>violento motum iuuet, vt ce&longs;&longs;are non deberet motus ni&longs;i anterioris <lb/>aëris ob&longs;i&longs;tentiam iuuaret, & augeret maximè grauitas naturalis, <lb/>quibus iunctis: vis tandem impellentis antror&longs;um &longs;uperatur, & eua<lb/>ne&longs;cit: &longs;icque ce&longs;&longs;at motus violentus, & ni&longs;i aliquod ad&longs;it impedi<lb/>mentum, incipit naturalis, quo deor&longs;um rectà ruit.<emph.end type="italics"/></s>

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<s id="id.003093"><emph type="italics"/>Neutrum igitur feretur.<emph.end type="italics"/></s>

<s id="id.003094"><emph type="italics"/>Propo&longs;itio rur&longs;us hæc vera e&longs;t, quia cum alioqui penetratio dimen<lb/>&longs;ionum fieret, ferri nihil pote&longs;t, ni&longs;i medium per quod fertur, cedat <lb/>locum: alioqui medium puta aer, & id quod fertur, e&longs;&longs;ent in vno.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.245.jpg" pagenum="206"/>

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<s id="id.003123">Quia quod fertur.] <emph type="italics"/>Ex hoc loco expunximus vocabula hæc <lb/>&longs;ine v&longs;u & magna <expan abbr="cõfu&longs;ione">confu&longs;ione</expan> interiecta<emph.end type="italics"/> <foreign lang="greek">kai\ to\ te me\n ei)</foreign> <emph type="italics"/>nec pro<emph.end type="italics"/> <foreign lang="greek">ei)</foreign> <emph type="italics"/>re<lb/>ponimus<emph.end type="italics"/> <foreign lang="greek">h)\</foreign> <emph type="italics"/>quod faciunt aliqui huius loci interpretes, ex hoc attin<lb/>gentes &longs;ecundam cau&longs;am problematis, quod &longs;cilicet omnia finem mo<lb/>tus, id e&longs;t quietem appetant, ideo ferri ad locum quietis, qui medius <lb/>e&longs;t in vortice. </s>

<s id="id.003124">quæ vt vera e&longs;&longs;ent, non video tamen exprimi po&longs;&longs;e <lb/>ex hoc Ari&longs;totelis contextu, qui &longs;uperioris demonstrationis comple<lb/>mentum e&longs;t, vt patuit.<emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.247.jpg" pagenum="208"/>

<s id="id.003124">quæ vt vera e&longs;&longs;ent, non video tamen exprimi po&longs;&longs;e <lb/>ex hoc Ari&longs;totelis contextu, qui &longs;uperioris demonstrationis comple<lb/>mentum e&longs;t, vt patuit.<emph.end type="italics"/></s></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.247.jpg" pagenum="208"/><chap>

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<s id="id.003181">FINIS.</s>

<s id="id.003182">C&oelig;lo re&longs;tat iter: C&oelig;lo tentabimus ire.</s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.251.jpg"/>

<s id="id.003182">C&oelig;lo re&longs;tat iter: C&oelig;lo tentabimus ire.</s></chap></body><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.251.jpg"/><back>

<s id="id.003183">ERRATA.</s>

<s id="id.003183">ERRATA.</s>

<s id="id.003184">In corrigendis primus numerus paginam, <lb/>Secundus lineam indicat. </s>

<s id="id.003185">In his leges.</s>

<s id="id.003186"><emph type="italics"/>6.28. hominum 7.11. engibatis 8.11. vtilitatem 8.22.<emph.end type="italics"/></s><s id="id.003187"> Hanc &longs;ed <lb/>10.4. <emph type="italics"/><foreign lang="greek">au)to/mata</foreign> 11.17. vinum. 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/>lo non &longs;ignato parallelogrammi<emph.end type="italics"/><lb/><figure id="id.035.01.251.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.251.1.jpg"/><lb/><foreign lang="greek">u z q</foreign> 48.9. <foreign lang="greek">sparti/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/stata</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">c</foreign> 190.13. <foreign lang="greek">tou= <lb/>ba/rous.</foreign></s>

<s id="id.003186"><emph type="italics"/>6.28. hominum 7.11. engibatis 8.11. vtilitatem 8.22.<emph.end type="italics"/> Hanc &longs;ed <lb/>10.4. <emph type="italics"/><foreign lang="greek">au)to/mata</foreign> 11.17. vinum. 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/>lo non &longs;ignato parallelogrammi<emph.end type="italics"/><lb/><figure id="id.035.01.251.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.251.1.jpg"/><lb/><foreign lang="greek">u z q</foreign> 48.9. <foreign lang="greek">sparti/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/stata</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">c</foreign> 190.13. <foreign lang="greek">tou= <lb/>ba/rous.</foreign></s>

<s id="id.003189"><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/>tarijs eorum vtcumque vicem &longs;upplerent. </s>

<s id="id.003190">Si indigeas, ab eo re<lb/>petere licet.<emph.end type="italics"/></s> </chap> </body> <back/> </text></archimedes>

<s id="id.003190">Si indigeas, ab eo re<lb/>petere licet.<emph.end type="italics"/></s></back> </text></archimedes>

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