DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.29.1.0.0.0" type="main">
              <s id="N113DB">
                <pb xlink:href="036/01/046.jpg"/>
              capiat XM: cùm ipſi
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              quoq; hoc modo acci­
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              piant, atq; ita accipe­
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              re ſit neceſſe. </s>
              <s id="id.2.1.29.1.1.5.0">ſi enim li­
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              bram DE in AB redire
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              demonſtrare volunt, com
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              parando deſcenſus pon­
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              deris in D cum deſcen­
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              ſu ponderis in E, neceſſe
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              eſt, vt oſtendant rectum
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              deſcenſum OC corre­
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              ſpondentem circumferen
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              tiæ DA maiorem eſſe re
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              cto deſcenſu TH circum
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                <figure id="id.036.01.046.1.jpg" place="text" xlink:href="036/01/046/1.jpg" number="31"/>
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              ferentiæ EV correſpondente. </s>
              <s id="id.2.1.29.1.1.6.0">ſi enim partem tantùm totius de­
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              ſcenſus ex D in A acciperent, vt D k; oſtenderentq; magis cape­
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              re de directo deſcenſum Dk, quàm æqualis portio deſcenſus ex
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              puncto E. </s>
              <s id="N1140F">ſequetur pondus in D ſecundùm ipſos grauius eſſe pon
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              dere in E; & vſq; ad k tantùm deorſum moueri: ita vt libra mo
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              ta ſit in kI. </s>
              <s id="N11415">ſimiliter ſi libram KI in AB redire demonſtrare vo
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              lunt accipiendo portionem deſcenſus ex k in A; hoc eſt k S;
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              oſtenderentq; k S magis de directo capere, quàm ex aduerſo æ­
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              qualis deſcenſus ex puncto I: ſimili modo ſequetur pondus in k
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              grauius eſſe, quàm in I; & vſq; ad S tantùm moueri. </s>
              <s id="id.2.1.29.1.1.7.0">& ſi rurſus
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              oſtenderent portionem deſcenſus ex S in A, atq; ita deinceps, re
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              ctiorem eſſe æquali deſcenſu ponderis oppoſiti; ſemper ſequetur
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              libram SI ad AB propius accedere, nunquam tamen in AB per­
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              uenire demonſtrabunt. </s>
              <s id="id.2.1.29.1.1.8.0">ſi igitur libram DE in AB redire demon
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              ſtrare volunt, neceſſe eſt, vt deſcenſum ponderis ex D in A de di
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              recro capere quantitatem lineæ ex puncto D ipſi AB ad rectos
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              angulos ductæ accipiant. </s>
              <s id="id.2.1.29.1.1.9.0">atq; ita, ſi æquales deſcenſus DA AN
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              inuicem comparemus, qui æqualiter de directo capient OC CT,
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              eueniet idem pondus in D æquè graue eſſe, vt in A. </s>
              <s id="N1143A">ſi verò por
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              tiones tantum ex D A accipiamus; grauius erit in A, quàm
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              in D. </s>
              <s id="N11440">ergo ex diuerſitate tantùm modi conſiderandi, idem pon
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              dus, & grauius, & leuius eſſe continget. </s>
              <s id="id.2.1.29.1.1.10.0">non autem ex ipſa na­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>