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<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="el">*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="el">*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="el">*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="el">*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="el">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="el">*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;">magnificum</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="fer&utilde;-tur">ferun-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="el">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="el">*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="el">*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="el">*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="el">*po/da e)rei=n,</foreign> <emph type="italics"/>& canere quid. <emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="el">*po/des, & pro/podes. </foreign></cell><cell>96</cell></row><row><cell><foreign lang="el">*poliorkitik*h\</foreign> <emph type="italics"/>pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="el">*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="el">*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="el">*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="el">*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="el">*zugo\s & *zugo\n. </foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="el">*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"/></section></front><body><chap>

<s id="id.000239"><foreign lang="el">*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>

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

<s id="id.000244"><foreign lang="el">*qauma/zetai tw=n me\n kata\ fu/sin sumbaino/ntwn, o(/swn <lb/>a)gnoei=tai to\ ai)/tion, tw=n de\ para\ fu/sin, o(/sa gi/netai dia\ <lb/>te/xnhn pro\s to\ sumfe/ron toi=s a)nqrw/pois.</foreign></s>

Line 647

<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></chap><chap>

<s id="id.000312"><foreign lang="el">e)n polloi=s ga\r <lb/>h( fu/sis u(penanti/on pro\s to\ xrh/simon h(mi=n poiei=. </foreign></s>

<s id="g0110103"><foreign lang="el">h( me\n <lb/>ga\r fu/sis a)ei\ to\n au)to\n e)/xei tro/pon kai\ a(plw=s, to\ de\ <lb/>xrh/simon metaba/llei pollaxw=s.</foreign></s>

Line 704

<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></chap><chap>

<s id="id.000340"><foreign lang="el">dio\ kai\ kalou=men th=s te/xnhs to\ pro\s ta\s toiau/tas <lb/>a)pori/as bohqou=n me/ros mhxanh/n.<arrow.to.target n="marg8"/></foreign></s>

<s id="g0110202"><foreign lang="el">kaqa/per ga\r e)poi/hsen <lb/>*)antifw=n o( poihth/s, ou(/tw kai\ e)/xei: te/xnh| ga\r kratou=men, <lb/>w(=n fu/sei nikw/meqa.</foreign></s>

Line 821

<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></chap><chap>

<s id="id.000398"><foreign lang="el">e)/sti de\ tau=ta toi=s fusikoi=s <lb/>problh/masin ou)/te tau)ta\ pa/mpan ou)/te kexwrisme/na li/an, <lb/>a)lla\ koina\ tw=n te maqhmatikw=n qewrhma/twn kai\ tw=n <lb/>fusikw=n: to\ me\n ga\r w(\s dia\ tw=n maqhmatikw=n dh=lon, to\ <lb/>de\ peri\ o(\ dia\ tw=n fusikw=n.</foreign></s>

Line 851

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><chap>

<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></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><subchap1>

<s id="id.000413"><foreign lang="el">perie/xetai de\ tw=n a)poroume/nwn<lb/> e)n tw=| ge/nei tou/tw| ta\ peri\ to\n moxlo/n.</foreign></s>

<s id="g0120102"><foreign lang="el">a)/topon ga\r <lb/>ei)=nai dokei= to\ kinei=sqai me/ga ba/ros u(po\ mikra=s i)sxu/os, <lb/>kai\ tau=ta meta\ ba/rous plei/onos: o(\ ga\r a)/neu moxlou= kinei=n <lb/>ou) du/natai/ tis, tou=to tau)to\ ba/ros, proslabw\n e)/ti to\ <lb/>tou= moxlou= ba/ros, kinei= qa=tton.</foreign></s>

Line 876

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><chap>

<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></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><subchap1>

<s id="id.000425"><foreign lang="el">pa/ntwn de\ tw=n toiou/twn <lb/>e)/xei th=s ai)ti/as th\n a)rxh\n o( ku/klos, kai\ tou=to eu)lo/gws <lb/>sumbe/bhken.</foreign></s>

<s id="g0120104"><foreign lang="el">e)k me\n ga\r qaumasiwte/rou sumbai/nein ti <lb/>qaumasto\n ou)de\n a)/topon. </foreign></s>

Line 899

<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></chap><chap>

<s id="id.000436"><foreign lang="el">qaumasiw/taton de\ to\ ta)nanti/a <lb/>gi/nesqai met' a)llh/lwn.</foreign></s>

<s id="g0120202"><foreign lang="el">o( de\ ku/klos sune/sthken e)k toiou/twn: </foreign></s>

Line 943

<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></chap><chap>

<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></subchap1><subchap1>

<s id="id.000458"><foreign lang="el">prw=ton me\n ga\r th=| periexou/sh| grammh=| to\n <lb/>ku/klon, pla/tos ou)qe\n e)xou/sh|, ta)nanti/a pws prosemfai/netai, <lb/>to\ koi=lon kai\ to\ kurto/n.</foreign></s>

Line 1003

<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="el">to\ a)/topon. </foreign><emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="el">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>

<s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="el">to\ a)/topon. </foreign><emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="el">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></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/><subchap1>

<s id="id.000488"><foreign lang="el">deu/teron de\ o(/ti a(/ma kinei=tai ta\s e)nanti/as kinh/seis: <lb/>a(/ma ga\r ei)s to\n e)/mprosqen kinei=tai to/pon kai\ to\n o)/pisqen.</foreign></s>

<s id="g0120302"><foreign lang="el"><lb/>h(/ te gra/fousa grammh\ to\n ku/klon w(sau/tws e)/xei: e)c <lb/>ou(= ga\r a)/rxetai to/pou to\ pe/ras au)th=s, ei)s to\n au)to\n tou=ton to/pon <lb/>e)/rxetai pa/lin: sunexw=s ga\r kinoume/nhs au)th=s to\ e)/sxaton <lb/>pa/lin a)ph=lqe prw=ton, w(/ste kai\ fanero\n o(/ti mete/balen <lb/>e)nteu=qen.</foreign></s>

Line 1056

<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 abbr="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></chap><chap>

<s id="id.000513"><foreign lang="el">e)/ti de\ <lb/>dia\ to\ mia=s ou)/shs th=s e)k tou= ke/ntrou grammh=s mhqe\n e(/teron <lb/>e(te/rw| fe/resqai tw=n shmei/wn tw=n e)n au)th=| i)sotaxw=s, a)ll' a)ei\ <lb/>to\ tou= me/nontos pe/ratos porrw/teron o)\n qa=tton, polla\ tw=n qaumazome/nwn <lb/>sumbai/nei peri\ ta\s kinh/seis tw=n ku/klwn: peri\ <lb/>w(=n e)n toi=s e(pome/nois problh/masin e)/stai dh=lon.</foreign></s>

Line 1088

<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></chap><chap>

<s id="id.000532"><foreign lang="el">dia\ de\ to\ <lb/>ta\s e)nanti/as kinh/seis a(/ma kinei=sqai to\n ku/klon, kai\ to\ <lb/>me\n e(/teron th=s diame/trou tw=n a)/krwn, e)f' ou(= to\ *a, ei)s tou)/mprosqen <lb/>kinei=sqai, qa/teron de/, e)f' ou(= to\ *b, ei)s tou)/pisqen, <lb/>kataskeua/zousi/ tines w(/st' a)po\ mia=s kinh/sews pollou\s u(penanti/ous <lb/>a(/ma kinei=sqai ku/klous, w(/sper ou(\s a)natiqe/asin e)n <lb/>toi=s i(eroi=s poih/santes troxi/skous xalkou=s te kai\ sidhrou=s.</foreign></s>

<s id="g0120502"><foreign lang="el"><lb/>ei) ga\r ei)/h tou= *a*b ku/klou a(pto/menos e(/teros ku/klos e)f' ou(= <lb/>*g*d, tou= ku/klou tou= e)f' ou(= *a*b kinoume/nhs th=s diame/trou <lb/>ei)s tou)/mprosqen, kinhqh/setai h( *g*d ei)s tou)/pisqen tou= ku/klou <lb/>tou= e)f' ou(= *a, kinoume/nhs th=s diame/trou peri\ to\ au)to/.</foreign></s>

Line 1130

<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></chap><chap>

<s id="id.000552"><margin.target id="marg12"/>In Menone</s></subchap1></chap><chap><subchap1>

<s id="id.000553">2. <foreign lang="el">*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>

Line 1189

<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></chap><chap>

<s id="id.000585"><foreign lang="el"> ai)/tion de\ tou/twn o(/ti fe/retai <lb/>du/o fora\s h( gra/fousa to\n ku/klon.</foreign></s>

<s id="g0120707"><foreign lang="el">o(/tan me\n ou)=n e)n lo/gw| <lb/>tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon, <lb/>kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai( <lb/>e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</foreign></s>

Line 1258

<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="el">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>

<s id="id.000617">Simile e&longs;t enim.] <foreign lang="el">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></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/><subchap1>

<s id="id.000619"><foreign lang="el">ei) ga\r a)/llon tina/, ou)k oi)sqh/setai kata\ <lb/>th\n dia/metron.</foreign></s>

<s id="g0120804"><foreign lang="el">e)a\n de\ e)n mhdeni\ lo/gw| fe/rhtai du/o fora\s <lb/>kata\ mhde/na xro/non, a)du/naton eu)qei=an ei)=nai th\n fora/n.</foreign></s>

Line 1338

<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></chap><chap>

<s id="id.000657"><foreign lang="el">o(/ti me\n toi/nun h( to\n ku/klon gra/fousa <lb/>fe/retai du/o fora\s a(/ma, fanero\n e)/k te tou/twn, <lb/>kai\ o(/ti to\ fero/menon kat' eu)qei=an e)pi\ th\n ka/qeton a)fi<lb/>knei=tai, w(/ste ei)=nai pa/lin au)th\n a)po\ tou= ke/ntrou ka/qeton.</foreign></s>

<s id="g0121001"><foreign lang="el"><lb/>e)/stw ku/klos o( *a*b*g, to\ d' a)/kron to\ e)f' ou(= *b fere/sqw <lb/>e)pi\ to\ *d. a)fiknei=tai de/ pote e)pi\ to\ *g.</foreign></s>

Line 1375

<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></chap><chap>

<s id="id.000671">hoc enim e&longs;t quod an<lb/>tea e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></subchap1><subchap1>

<s id="id.000672"><foreign lang="el">e)a\n <lb/>de\ duoi=n ferome/noin a)po\ th=s au)th=s i)sxu/os to\ me\n e)kkrou/oito <lb/>plei=on to\ de\ e)/latton, eu)/logon bradu/teron kinhqh=nai <lb/>to\ plei=on e)kkrouo/menon tou= e)/latton e)kkrouome/nou: o(\ dokei= <lb/>sumbai/nein e)pi\ th=s mei/zonos kai\ e)la/ttonos tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous.</foreign></s>

<s id="g0121102"><foreign lang="el">dia\ ga\r to\ e)ggu/teron <lb/>ei)=nai tou= me/nontos th=s e)la/ttonos to\ a)/kron h)\ to\ th=s mei/zonos, <lb/>w(/sper a)ntispw/menon ei)s tou)nanti/on, e)pi\ to\ me/son bradu/teron <lb/>fe/retai to\ th=s e)la/ttonos a)/kron.</foreign></s>

Line 1411

<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></chap><chap>

<s id="id.000689"><foreign lang="el">kai\ fe/retai th\n me\n <lb/>kata\ fu/sin kata\ th\n perife/reian, th\n de\ para\ fu/sin <lb/>ei)s to\ pla/gion kai\ to\ ke/ntron. mei/zw d' a)ei\ th\n para\ <lb/>fu/sin h( e)la/ttwn fe/retai: dia\ ga\r to\ e)ggu/teron ei)=nai tou= <lb/>ke/ntrou tou= a)ntispw=ntos kratei=tai ma=llon.</foreign></s>

Line 1439

<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></chap><chap>

<s id="id.000703"><foreign lang="el">o(/ti de\ mei=zon <lb/>to\ para\ fu/sin kinei=tai h( e)la/ttwn th=s mei/zonos tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous, e)k tw=nde dh=lon.</foreign></s>

<s id="g0121302"><foreign lang="el">e)/stw <lb/>ku/klos e)f' ou(= *b*g*d*e, kai\ a)/llos e)n tou/tw| e)la/ttwn, <lb/>e)f' ou(= *x*n*m*c, peri\ to\ au)to\ ke/ntron to\ *a: kai\ e)kbeblh/sqwsan <lb/>ai( dia/metroi, e)n me\n tw=| mega/lw|, e)f' w(=n *g*d <lb/>kai\ *b*e, e)n de\ tw=| e)la/ttoni ai( *m*x *n*c: kai\ to\ e(tero/mhkes <lb/>parapeplhrw/sqw, to\ *d*y*r*g. ei) dh\ h( *a*b gra/fousa <lb/>ku/klon h(/cei e)pi\ to\ au)to\ o(/qen w(rmh/qh e)pi\ th\n *a*e, dh=lon <lb/>o(/ti fe/retai pro\s au(th/n.</foreign></s>

Line 1589

<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></chap><chap>

<s id="id.000775"><foreign lang="el">dei= de\ a)na/logon ei)=nai, <lb/>w(s to\ kata\ fu/sin pro\s to\ kata\ fu/sin, to\ para\ fu/sin <lb/>pro\s to\ para\ fu/sin.</foreign></s>

<s id="g0121503"><foreign lang="el">mei/zona a)/ra perife/reian dielh/luqe <lb/>th\n *h*b th=s *w*b.</foreign></s>

Line 1655

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

<s id="id.000796"><foreign lang="el">dio/ti de\ ta\ me\n mei/zw zuga\ <lb/>a)kribe/stera/ e)sti tw=n e)latto/nwn, fanero\n e)k tou/twn.</foreign></s>

<s id="g0130102"><foreign lang="el">gi/netai <lb/>ga\r to\ me\n spa/rton ke/ntron [1me/nei ga\r tou=to]1, to\ de\ e)pi\ <lb/>e(ka/teron me/ros th=s pla/stiggos ai( e)k tou= ke/ntrou.</foreign></s>

Line 1693

<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></chap><chap>

<s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet. <emph.end type="italics"/></s></subchap1><subchap1>

<s id="id.000813"><foreign lang="el">e)pi\ de\ th=s mega/lhs pla/stiggos poiei= o(rato\n to\ <lb/>au)to\ ba/ros me/geqos.</foreign></s>

<s id="g0130107"><foreign lang="el">e)/nia de\ dh=la me\n e)p' a)mfoi=n e)sti/n, <lb/>a)lla\ pollw=| ma=llon e)pi\ tw=n meizo/nwn dia\ to\ pollw=| <lb/>mei=zon gi/nesqai to\ me/geqos th=s r(oph=s u(po\ tou= au)tou= ba/rous <lb/>e)n toi=s mei/zosi.</foreign></s>

Line 1767

<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="el">*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>

Line 1892

<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></chap><chap>

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

Line 1914

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><chap>

<s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde<lb/>re mouetur radius maior. </s></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><subchap1>

<s>Sunt vero tria circa <expan abbr="vect&etilde;">vectem</expan> <lb/>pre&longs;&longs;io quidem e&longs;t agina & <lb/><expan abbr="centr&utilde;">centrum</expan>, duo etiam pondera <lb/>mouens &longs;cilicet, & mobile. </s>

Line 1996

<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></chap><chap>

<s id="id.000950"><foreign lang="el">o(\<lb/> ou)=n to\ kinou/menon ba/ros pro\s to\ kinou=n, to\ mh=kos pro\s to\ mh=kos <lb/>a)ntipe/ponqen.</foreign></s>

<s id="g0130304"><foreign lang="el"> ai)ei\ de\ o(/sw| a)\n mei=zon a)festh/kh| tou= u(pomoxli/ou, <lb/>r(a=|on kinh/sei.</foreign></s>

Line 2097

<s id="id.000991">E&longs;t <lb/>autem hic vectis<emph.end type="italics"/> <foreign lang="el">b a,</foreign> <emph type="italics"/>vt diameter circuli cuius extremum<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>deor<lb/>&longs;um cum ad<emph.end type="italics"/> <foreign lang="el">h</foreign> <emph type="italics"/>mouetur, alterum<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>&longs;ur&longs;um &longs;imul moueri vt ad<emph.end type="italics"/> <foreign lang="el">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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><chap>

<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></subchap1></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><chap><subchap1>

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

Line 2391

<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></chap><chap>

<s id="id.001137">6. <foreign lang="el">*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>

Line 2649

<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></chap><chap>

<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></subchap1><subchap1>

<s id="id.001264"><foreign lang="el">dh=lon de\ e)k tou/tou kai\ di' h(\n <lb/>ai)ti/an ma=llon proe/rxetai ei)s tou)nanti/on to\ ploi=on h)\ h( th=s <lb/>kw/phs pla/th: to\ au)to\ ga\r me/geqos th=| au)th=| i)sxu/i+ kinou/menon <lb/>e)n a)e/ri ple/on h)\ e)n tw=| u(/dati pro/eisin.</foreign></s>

<s id="g0130510"><foreign lang="el">e)/stw ga\r h( *a <lb/>*b kw/ph, to\ de\ *g o( skalmo/s, to\ de\ *a to\ e)n tw=| ploi/w|, h( <lb/>a)rxh\ th=s kw/phs, to\ de\ *b to\ e)n th=| qala/tth|.</foreign></s>

Line 3046

<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></chap><chap>

<s id="id.001438"><foreign lang="el">to\ d' <lb/>au)to\ kai\ to\ phda/lion poiei=, plh\n o(/ti ei)s to\ pro/sqen ou)de\n <lb/>sumba/lletai tw=| ploi/w|, w(/sper e)le/xqh e)pi\ a)/nw, a)lla\ <lb/>mo/non th\n pru/mnan ei)s to\ pla/gion a)pwqei= e)/nqa h)\ e)/nqa: ei)s <lb/>tou)nanti/on ga\r h( prw=|ra ou(/tw neu/ei.</foreign></s>

<s id="g0130516"><foreign lang="el">h(=| me\n dh\ to\ phda/lion <lb/>prose/zeuktai, dei= oi(=o/n ti tou= kinoume/nou me/son noei=n, kai\ w(/sper <lb/>o( skalmo\s th=| kw/ph|: to\ de\ me/son u(poxwrei=, h(=| o( oi)/ac metakinei=tai.</foreign></s>

Line 3080

<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></chap><chap>

<s id="id.001454">7. <foreign lang="el">*th=s kerai/as duna/menews ai)/tion. </foreign></s>

Line 3175

<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></chap><chap>

<s id="id.001498">8. <foreign lang="el">*dia\ ti/ o(/tan e)kkerai/as bou/<lb/>lwntai diadramei=n po/da poiou=si. </foreign></s>

Line 3340

<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></chap><chap>

<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></subchap1></chap><chap><subchap1>

<s id="id.001578">9. <foreign lang="el">*dia\ ti/ ta\ periferh= tw=n sxhma/twn eu)kinhto/tera. </foreign></s>

Line 3526

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.144.jpg" pagenum="105"/><chap>

<s id="id.001663">Rationem &longs;i vis <lb/>aliquam, vide apud Scaligerum exercit. 333. <emph.end type="italics"/></s></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.144.jpg" pagenum="105"/><subchap1>

<s id="id.001665"><foreign lang="el">e)/ti h(=| r(e/pei e)pi\ to\ ba/ros, <lb/>tau/th| kinei= o( kinw=n. o(/tan me\n ga\r pro\s o)/rqion h( dia/metros <lb/>h)=| tou= ku/klou tw=| e)pipe/dw|, a(ptome/nou tou= ku/klou kata\ stigmh\n <lb/>tou= e)pipe/dou, i)/son to\ ba/ros e)p' a)mfo/tera dialamba/nei <lb/>h( dia/metros: o(/tan de\ kinh=tai, eu)qu\s ple/on e)f' w(=| <lb/>kinei=tai, w(/sper r(e/pon. e)nteu=qen eu)kinhto/teron tw=| w)qou=nti ei)s <lb/>tou)/mprosqen: e)f' o(\ ga\r r(e/pei e(/kaston, eu)ki/nhto/n e)stin, <lb/>ei)/per kai\ to\ e)pi\ to\ e)nanti/on th=s r(oph=s duski/nhton.</foreign></s>

Line 3694

<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></chap><chap>

<s id="id.001743">10. <foreign lang="el">*dia\ ti/ meizo/nes ku/kloi kinhtikw/teroi.</foreign></s>

Line 3791

<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></chap><chap>

<s id="id.001789">Commodius autem pellit, <lb/>quod grauius e&longs;t. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

<s id="id.001790">11. <foreign lang="el">*dia\ ti/ p(a=|on a)/neu ba/rois kinei=tai to\ zugo/n.</foreign></s>

Line 3836

<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></chap><chap>

<s id="id.001811">12. <foreign lang="el">*dia\ ti/ e)pi e)pi\ tw=n skuta/lwn <lb/>r(a=|on ta\ forti/a komi/zetai, <lb/>h)\ e)pi\ tw=n a(macw=n.</foreign></s>

Line 3880

<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></chap><chap>

<s id="id.001832">13. <foreign lang="el">*dia\ ti/ porrwte/rw ta\ be/lh fe/retai a)po\ th=s sfendo/nhs <lb/>h)\ a)po\ th=s xeiro/s.</foreign></s>

Line 3983

<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="el">ph/xus</foreign> <emph type="italics"/>id e&longs;t <lb/>cubitus, & tertia<emph.end type="italics"/> <foreign lang="el">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></chap><chap>

<s id="id.001882">14. <foreign lang="el">*peri\ kollo/pwn kai\ o)/nwn.</foreign></s>

Line 4047

<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></chap><chap>

Line 4100

<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></chap><chap>

<s id="id.001939">Hæc vulgaria &longs;unt, &longs;ed cau&longs;a non vti<lb/>que vulgaris. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

<s id="id.001940">16. <foreign lang="el">*dia\ ti/ ai( kro/kai stroggu/lai.</foreign></s>

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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></chap><chap>

<s id="id.001963">Gutta cauat lapidem, con&longs;umitur annulus v&longs;u. </s></subchap1></chap><chap><subchap1>

<s id="id.001964">17. <foreign lang="el">*dia\ ti/ makro/tera cu/la <lb/>a)sqene/stera.</foreign></s>

Line 4213

<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></chap><chap>

<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></subchap1></chap><chap><subchap1>

<s id="id.001992">18. <foreign lang="el">*tou= sfhno\s duna/meos <lb/>ai)/tion.</foreign></s>

Line 4418

<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>

<s id="id.002089">19. <foreign lang="el">*peri\ troxilaiw=n.</foreign></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></chap><chap>

<s id="id.002106"><foreign lang="el">h)\ dio/ti to\ <lb/>au)to\ ba/ros a)po\ e)la/ttonos i)sxu/os, ei) moxleu/etai, e)gei/retai, <lb/>h)\ a)po\ xeiro/s; h( de\ troxile/a to\ au)to\ poiei= tw=| mo<lb/>xlw=|, w(/ste h( mi/a r(a=|on e(/lcei, kai\ a)po\ mia=s o(lkh=s tou= <lb/>kata\ xei=ra polu\ e(/lcei baru/teron. tou=to d' ai( du/o troxali/ai <lb/>ple/on h)\ diplasi/w| ta/xei ai)/rousai.</foreign></s>

<s id="g0131803"><foreign lang="el">e)/latton ga\r <lb/>e)/ti h( e(te/ra e(/lkei h)\ ei) au)th\ kaq' e(auth\n ei(=lken, o(/tan <lb/>para\ th=s e(te/ras e)piblhqh=| to\ sxoini/on: e)kei/nh ga\r e)/ti <lb/>e)/latton e)poi/hse to\ ba/ros.</foreign></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></chap><chap>

<s id="id.002146"><foreign lang="el">kai\ e)n toi=s oi)kodomikoi=s e)/rgois r(a|di/ws kinou=si mega/la <lb/>ba/rh: metafe/rousi ga\r a)po\ th=s au)th=s troxile/as <lb/>e)f' e(te/ran, kai\ pa/lin a)p' e)kei/nhs ei)s o)/nous kai\ moxlou/s: <lb/>tou=to de\ tau)to/n e)sti tw=| poiei=n polla\s troxile/as.</foreign></s>

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

<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>

<s id="id.002213">Ann. M.D. LXXXV. Pont. II. </s></subchap1></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.183.jpg" pagenum="144"/><chap><subchap1>

<s id="id.002214">20. <foreign lang="el">*dia\ ti/ tupto/menos pe/le<lb/>kus diasxi/zei, pie/zwn de\ <lb/>ou)k e)/ti.</foreign></s>

Line 4690

<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="el">ki/nhsis tou= ba/rous</foreign> <emph type="italics"/>e&longs;t motus cuique <lb/>graui occultus inhærens. <emph.end type="italics"/></s></chap><chap>

<s id="id.002229"><foreign lang="el"> e)/ti de\ kai\ gi/netai sfh\n o( pe/lekus: o( de\ sfh\n <lb/>mikro\s w)\n mega/la dii/sthsi dia\ to\ ei)=nai e)k du/o moxlw=n <lb/>e)nanti/ws sugkeime/nwn.</foreign></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></chap><chap>

<s id="id.002251"><margin.target id="marg35"/>Exerc. 331. </s></subchap1></chap><chap><subchap1>

Line 4843

<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></chap><chap>

<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></subchap1><subchap1>

<s id="id.002301"><foreign lang="el">kai\ o( staqmo\s di' i)/sou tw=n a)p' a)llh/lwn <lb/>tw=n sparti/wn kinoume/nwn, w(/ste summetrei=sqai po/son ba/ros<lb/> e(/lkei to\ e)n th=| pla/stiggi kei/menon: w(/ste ginw/skein, o(/tan <lb/>o)rqh\ h( fa/lagc h)=|, a)po\ poi/ou spa/rtou po/son ba/ros e)/xei h( <lb/>pla/stigc, kaqa/per ei)/rhtai.</foreign></s>

<s id="g0132005"><foreign lang="el">o(/lws me/n e)sti tou=to zugo/n, e)/xon <lb/>mi/an me\n pla/stigga, e)n h(=| i(/statai to\ ba/ros, th\n d' e(te/ran, <lb/>e)n h(=| to\ staqmo\n e)n th=| fa/laggi.</foreign></s>

Line 4865

<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></chap><chap>

<s id="id.002311"><foreign lang="el">a)ei\ de\ to\ e)ggu/teron <lb/>sparti/on th=s pla/stiggos kai\ tou= i(stame/nou ba/rous mei=zon e(/lkei <lb/>ba/ros, dia\ to\ gi/nesqai th\n me\n fa/lagga pa=san moxlo\n <lb/>a)nestramme/non [1u(pomo/xlion me\n ga\r to\ sparti/on <lb/>e(/kaston a)/nwqen o)/n, to\ de\ ba/ros to\ e)no\n e)n th=| pla/stiggi]1, </foreign></s>

<s id="g0132008"><foreign lang="el"><lb/>o(/sw| d' a)\n makro/teron h)=| to\ mh=kos tou= moxlou= tou= a)po\ tou= <lb/>u(pomoxli/ou, tosou/tw| e)kei= me\n r(a=|on kinei=, e)ntau=qa de\ sh/kwma <lb/>poiei=, kai\ i(/sthsi to\ pro\s to\ sfai/rwma ba/ros th=s <lb/>fa/laggos.</foreign></s>

Line 4948

<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></chap><chap>

<s>quod demon&longs;trare oportebat. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

<s id="id.002348">22. <foreign lang="el">*peri\ o)donta/gras.</foreign></s>

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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></chap><chap>

<s id="id.002385">23. <foreign lang="el">*peri\ tw=n o)pga/nwn a(\ poiou=si <lb/>pro\s to\ katagnu=nai ta\ <lb/>ka/rua.</foreign></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></chap><chap>

<s id="id.002424">Quantò igitur.] <emph type="italics"/>Repetitio e&longs;t eiu&longs;dem &longs;uperflua. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

<s id="id.002425">24. <foreign lang="el">*dia\ ti/ e)n tw=| r(o/mbw| e(ka/<lb/>teron tw=n a)/krwn shmei/wn ou) <lb/>th\n i)/shn eu)qei=an die/rxetai.</foreign></s>

Line 5240

<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></chap><chap>

<s id="id.002478"><foreign lang="el">a)/topon ga/r, w(/sper e)le/xqh, to\ <lb/>du/o fora\s fero/menon e)ni/ote bradu/teron fe/resqai tou= mi/an, <lb/>kai\ a)mfote/rwn i)sotaxw=n shmei/wn doqe/ntwn mei/zw diecie/nai <lb/>qa/teron.</foreign></s>

<s id="g0132314"><foreign lang="el">ai)/tion de\ o(/ti tou= me\n a)po\ th=s a)mblei/as ferome/nou <lb/>sxedo\n e)nanti/ai a)mfo/terai gi/nontai, h(/n te au)th\ <lb/>fe/retai kai\ h(\n u(po\ th=s pleura=s u(pofe/retai, </foreign></s>

Line 5314

<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></chap><chap>

<s id="id.002512"><foreign lang="el">*dia\ ti/ o( mei/zwn ku/klos <lb/>tw=| e)la/ttoni i)/shn e)celi/tte<lb/>tai.</foreign></s>

<s id="id.002512"><foreign lang="el">*dia\ ti/ o( mei/zwn ku/klos <lb/>tw=| e)la/ttoni i)/shn e)celi/tte<lb/>tai.</foreign></s></subchap1></chap><chap><subchap1>

<s id="id.002513">25. Cur maior circulus cum <lb/>minore per æqualem re<lb/>uoluitur. </s>

Line 5414

<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></chap><chap>

<s id="id.002549"><foreign lang="el">e)/ti de\ mia=s kinh/sews ou)/shs a)ei\ to\ ke/ntron <lb/>to\ kinou/menon o(te\ me\n th\n mega/lhn o(te\ de\ th\n e)la/ttona <lb/>e)kkuli/esqai qaumasto/n.</foreign></s>

<s id="g0132412"><foreign lang="el">to\ ga\r au)to\ tw=| au)tw=| ta/xei fero/menon <lb/>i)/shn pe/fuke diecie/nai: tw=| au)tw=| de\ ta/xei i)/shn e)sti\ <lb/>kinei=n a)mfotera/kis.</foreign></s>

Line 5464

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.209.jpg" pagenum="170"/><chap>

<s id="id.002565">per &longs;e <expan abbr="quid&etilde;">quidem</expan> motus vtrouis modo &longs;eu celeriter: &longs;eu tardè. </s></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.209.jpg" pagenum="170"/><subchap1>

<s><lb/>Eadem verò celeritate &longs;ta<lb/>tim per quantam lineam <lb/>natus e&longs;t conuolui maior. </s>

Line 5514

<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="el">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></chap><chap>

<s id="id.002590"><foreign lang="el">o(/per <lb/>kai\ poiei= th\n a)pori/an, o(/ti ou)ke/ti o(moi/ws poiou=sin o(/tan sunarmosqw=sin. <lb/>to\ d' e)/stin, ei) o( e(/teros u(po\ tou= e(te/rou kinei=tai <lb/>ou)x h(\n pe/fuken, ou)de\ th\n au(tou= ki/nhsin.</foreign></s>

<s id="g0132422"><foreign lang="el">ou)qe\n ga\r <lb/>diafe/rei periqei=nai kai\ e)narmo/sai h)\ prosqei=nai o(poteronou=n <lb/>o(pote/rw|: o(moi/ws ga/r, o(/tan o( me\n kinh=| o( de\ kinh=tai u(po\ <lb/>tou/tou, o(/son a)\n kinh=| a(/teros, tosou=ton kinhqh/setai a(/teros.</foreign></s>

Line 5616

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

<s id="id.002634"><margin.target id="marg40"/>Vide penul<lb/>timum dia <lb/>gramma. </s></subchap1></chap><chap><subchap1>

<s id="id.002635">26. <foreign lang="el">*peri\ tw=n klinw=n.</foreign></s>

Line 5671

<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></chap><chap>

<s id="id.002662"><foreign lang="el">e)ntei/nousi de\ ou) kata\ dia/metron a)ll' <lb/>a)p' e)nanti/as, o(/pws ta/ te cu/la h(=tton diaspa=tai: ta/xista <lb/>ga\r sxi/zetai kata\ fu/sin diairou/mena tau/th|, kai\ e(lko/mena <lb/>ponei= ma/lista.</foreign></s>

<s id="g0132504"><foreign lang="el">e)/ti e)peidh\ dei= ba/ros du/nasqai ta\ <lb/>sparti/a fe/rein, ou(/tws h(=tton pone/sei locoi=s toi=s sparti/ois <lb/>e)pitiqeme/nou tou= ba/rous h)\ plagi/ois.</foreign></s>

Line 5721

<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></chap><chap>

<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></subchap1><subchap1>

<s id="id.002686"><foreign lang="el">e)/stw ga\r kli/nh h( *a*z*h*i, kai\ di/xa <lb/>dih|rh/sqw h( *z*h kata\ to\ *b. i)/sa dh\ truph/mata/ e)stin <lb/>e)n th=| *z*b kai\ e)n th=| *z*a. kai\ ga\r ai( pleurai\ i)/sai ei)si/n: <lb/>h( ga\r o(/lh *z*h diplasi/a e)sti/n.</foreign></s>

<s id="g0132507"><foreign lang="el">e)ntei/nousi d' w(s ge/graptai, <lb/>a)po\ tou= *a e)pi\ to\ *b, ei)=ta ou(= to\ *g, ei)=ta ou(= to\ *d, ei)=ta ou(= <lb/>to\ *q, ei)=ta ou(= to\ *e. kai\ ou(/tws a)ei/, e(/ws a)\n ei)s gwni/an <lb/>katastre/ywsin a)/llhn: </foreign></s>

Line 5876

<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></chap><chap>

<s id="id.002742">27. <foreign lang="el">*dia\ ti/ xalepw/teron ta\ <lb/>makra\ cu/la a)p' a)/krou <lb/>fe/rein e)pi\ tw=| w)/mw| h)\ kata\ to\ me/son.</foreign></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></chap><chap>

<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></subchap1><subchap1>

<s id="id.002760"><foreign lang="el">ai)/tion de\ o(/ti e)k me/sou me\n ai)ro/menon a)ei\ e)pikoufi/zei a)/llhla <lb/>ta\ a)/kra, kai\ qa/teron me/ros to\ e)pi\ qa/teron eu)= ai)/rei. <lb/>w(/sper ga\r ke/ntron gi/netai to\ me/son, h(=| e)/xei to\ ai)=ron h)\ <lb/>fe/ron.</foreign></s>

<s id="g0132604"><foreign lang="el">ei)s to\ a)/nw ou)=n koufi/zetai e(ka/teron tw=n a)/krwn ei)s <lb/>to\ ka/tw r(e/pon. a)po\ de\ tou= a)/krou ai)ro/menon h)\ fero/menon ou) <lb/>poiei= tou=to, a)ll' a(/pan to\ ba/ros r(e/pei e)f' e(\n me/son, ei)s <lb/>o(/per ai)/retai h)\ fe/retai.</foreign></s>

Line 5956

<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></chap><chap>

<s id="id.002778"><foreign lang="el">*dia\ ti/ li/an makro\n ba/ros<lb/> xalepw/teron fe/rein e)pi\ tou= <lb/>w)/mou, h)\ e)/latton.</foreign></s>

<s id="id.002778"><foreign lang="el">*dia\ ti/ li/an makro\n ba/ros<lb/> xalepw/teron fe/rein e)pi\ tou= <lb/>w)/mou, h)\ e)/latton.</foreign></s></subchap1></chap><chap><subchap1>

<s id="id.002779">28. Cur humero difficilius <lb/>fertur valdè <expan abbr="lõgum">longum</expan> pon<lb/>dus: quam breue. </s>

Line 6016

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.227.jpg" pagenum="188"/><chap>

<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></subchap1></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.227.jpg" pagenum="188"/><chap><subchap1>

<s id="id.002805">29. <foreign lang="el">*dia\ ti/ e)pi\ toi=s fre/asi ta\ <lb/>khlw/neia poiou=si tou=ton to\n <lb/>tro/pon.</foreign></s>

Line 6084

<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></chap><chap>

<s id="id.002836">Po&longs;&longs;et etiam hæc quæ&longs;tio ad libram <lb/>commodißimè referri. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

<s id="id.002837">30. <foreign lang="el">*dia\ ti/ o(/tan fe/rwsin e)pi\ <lb/>cu/lou du/o a)/nqrwpoi i)=son ba/<lb/>ros, ou)x o(moi/ws qli/bontai.</foreign></s>

Line 6156

<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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.232.jpg" pagenum="193"/><chap>

<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></subchap1></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.232.jpg" pagenum="193"/><chap><subchap1>

<s id="id.002871">31. <foreign lang="el">*dia\ ti/ oi( a)nista/menoi, ou(/tws <lb/>a)ni/stantai.</foreign></s>

Line 6378

<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></chap><chap>

<s id="id.002977">32. <foreign lang="el">*dia\ ti/ r(a=|on kinei=tai to\ ki<lb/>nou/menon h)\ to\ me/non.</foreign></s>

Line 6463

<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></chap><chap>

<s id="id.003017">Ergo commotus facilius mouebitur: quam quie&longs;cens vel <lb/>incipiens moueri. <emph.end type="italics"/></s></subchap1></chap><chap><subchap1>

Line 6518

<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></chap><chap>

<s id="id.003047">34. <foreign lang="el">*dia\ ti/ fe/retai/ ti ou) th\n <lb/>au(tou= fora\n, mh\ a)kolouqou=n<lb/>tos <lb/>w)qou=ntos a)lla\ tou= a)fe/n<lb/>tos.</foreign></s>

Line 6544

<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></chap><chap>

<s id="id.003059">35. <foreign lang="el">*dia\ ti/ ou)/te ta\ e)la/ttona, <lb/>ou)/te ta\ mega/la po/r)r(w fe/re<lb/>tai r(ipto/mena</foreign></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"/></chap><chap>

<s id="id.003095"><foreign lang="el">*dia\ ti/ ta\ fero/mena e)n tw=| <lb/>dinoume/nw| u(/dati ei)s to\ me/son <lb/>fe/retai.</foreign></s>

<s id="id.003095"><foreign lang="el">*dia\ ti/ ta\ fero/mena e)n tw=| <lb/>dinoume/nw| u(/dati ei)s to\ me/son <lb/>fe/retai.</foreign></s></subchap1></chap><chap><subchap1>

<s id="id.003096">36. Cur lata in vortice <lb/>aquarum ad medium de<lb/>uoluuntur. </s>

Line 6683

<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="el">kai\ to\ te me\n ei)</foreign> <emph type="italics"/>nec pro<emph.end type="italics"/> <foreign lang="el">ei)</foreign> <emph type="italics"/>re<lb/>ponimus<emph.end type="italics"/> <foreign lang="el">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></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.247.jpg" pagenum="208"/><chap>

<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></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.247.jpg" pagenum="208"/><subchap1>

<s id="id.003125"><foreign lang="el">h)\ o(/ti o(/swn me\n mh\ kratei= h( fora\ tou= dinoume/nou <lb/>u(/datos dia\ to\ me/geqos, a)ll' u(pere/xei th=| baru/thti <lb/>th=s tou= ku/klou taxuth=tos, a)na/gkh u(polei/pesqai kai\ bradu/teron <lb/>fe/resqai.</foreign></s>

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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></chap></body><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.251.jpg"/><back><section>

<s id="id.003182">C&oelig;lo re&longs;tat iter: C&oelig;lo tentabimus ire. </s></subchap1></chap></body><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.251.jpg"/><back><section>

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

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