Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

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      <text>
        <body>
          <chap id="N10019">
            <p id="N116B6" type="main">
              <s id="N116F4">
                <pb pagenum="45" xlink:href="005/01/053.jpg"/>
              proportionalis maiori A B C D, ac per motum proprium
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              verſus B, ipſum punctum A peragrauerit quantum eſt vſque
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              ad E; & per motum totius lineæ A B, verſus lineam C D,
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              peragrauerit quantum eſt ab A, vſque ad F, ſeruata eadem
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              proportione ipſorum laterum; certe punctum A reperiri non
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              poſſet in E, neque in F; ſiquidem non fuiſſet latum duabus
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              lationibus, nec peragraſſet ſpacium ſecundum vtramque po­
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              ſitionem, ſimul accedendo quantum fieri poteſt ad B & ad
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              C; ſed vna tantùm latione, alterum ſolum ſpacium percur­
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              riſſet. </s>
              <s id="N11712">Reperietur ergo ipſum. </s>
              <s id="N11715">punctum A vbi vtraque pro­
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              greſſio poteſt verificari, vt in puncto G. </s>
              <s id="N1171B">Quia nimirum F G
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              eſt æqualis ipſi A E, & E G æqualis ipſi A F, cum ſint latera
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              oppoſita eiuſdem rectanguli, vt patet per 34. primi Elemen­
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              torum Euclidis. </s>
              <s id="N11725">Sed punctum G non poteſt eſſe niſi in recta
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              A D, quæ eſt vtriuſque rectanguli diameter, vt patet per 26.
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              ſexti, & eodem modo quodlibet aliud punctum, in quo vtra­
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              que latio ac latera depræhendantur eadem proportione pro­
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              portionalia, vt in H, reſpectu I & K: igitur punctum A, dua­
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              bus lationibus proportionalibus latum, neceſſariò mouebi­
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              tur ſuper rectam A D, quod erat probandum. </s>
            </p>
            <p id="N11734" type="main">
              <s id="N11736">Quod quidem clarius adhuc probari poſſet exemplo hu­
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              ius quadrati A B C D, cuius latera diuiſa ſint in quatuor par­
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              tes æquales,
                <expan abbr="efficiantq.">efficiantque</expan>
              ex illis minora quadrata contenta in
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              maiori. </s>
              <s id="N11743">Nam ſi ſup­
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                <figure id="id.005.01.053.1.jpg" xlink:href="005/01/053/1.jpg" number="7"/>
                <lb/>
              ponatur punctum A ex
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              ſe moueri tanquam na­
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              turali ac proprio motu
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              verſus B, ſuper rectam
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              A B, & eodem tempo­
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              re ſimul cum ipſa A B,
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              quaſi motu alieno de­
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              ſcendere verſus C D,
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              ac ſeruata eadem pro­
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              portione vtriuſque mo­
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              tus, quæ ſit æqualita­
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              tis: abſque dubio, eo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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