DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.107.2.0.0.0" type="main">
              <s id="id.2.1.107.2.1.1.0">
                <pb n="53" xlink:href="036/01/119.jpg"/>
              habens, quò magis ab hoc ſitu vecte pondus ele
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              uabitur maiori ſemper potentia, vt ſuſtineatur,
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              egebit. </s>
              <s id="id.2.1.107.2.1.2.0">ſi verò deprimetur, minori.
                <figure id="id.036.01.119.1.jpg" place="text" xlink:href="036/01/119/1.jpg" number="110"/>
              </s>
            </p>
            <p id="id.2.1.107.3.0.0.0" type="main">
              <s id="id.2.1.107.3.1.1.0">Sit vectis AB horizonti æquidiſtans, cuius fulcimentum C;
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              ſitq; pondus AD, cuius centrum grauitatis L ſit infra vectem;
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              ſitq; potentia in B ſuſtinens pondus AD: moueatur deinde ve­
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              ctis in FG, & pondus in FH. </s>
              <s id="id.2.1.107.3.1.1.0.a">Dico primum maiorem requiri
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              potentiam in G ad ſuſtinendum pondus FH vecte FG, quàm
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              ſit potentia in B pondere exiſtente AD vecte autem AB. </s>
              <s id="id.2.1.107.3.1.1.0.b">ſit M
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              grauitatis centrum ponderis FH, & à punctis LM ipſorum ho­
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              rizontibus perpendiculares ducantur Lk MN: ipſi verò FG per­
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              pendicularis ducatur MS, quæ æqualis erit LK, & CK ipſi CS
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              erit etiam æqualis. </s>
              <s id="id.2.1.107.3.1.2.0">Quoniam igitur CN maior eſt Ck, habe­
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              bit
                <arrow.to.target n="note172"/>
              NC ad CG maiorem proportionem, quàm Ck ad CB; po
                <arrow.to.target n="note173"/>
                <lb/>
              tentia uerò in B ad pondus AD eandem habet, quam kC ad CB:
                <arrow.to.target n="note174"/>
                <lb/>
              & vt potentia in G ad pondus FH, ita eſt NC ad CG; ergo
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              maiorem habebit proportionem potentia in G ad pondus FH,
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              quàm potentia in B ad pondus AD. </s>
              <s id="id.2.1.107.3.1.2.0.a">maior igitur eſt potentia
                <arrow.to.target n="note175"/>
                <lb/>
              in G ipſa potentia in B. </s>
              <s id="N1375E">ſi verò vectis ſit in OP, & pondus in
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              OQ; erit potentia in B maior, quàm in P. </s>
              <s id="N13762">eodem enim mo­
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              do oſtendetur CR minorem eſſe Ck, & CR ad CP minorem
                <arrow.to.target n="note176"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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