DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N128CF">
            <p id="id.2.1.95.12.0.0.0" type="main">
              <s id="id.2.1.95.12.1.3.0.b">
                <pb n="45" xlink:href="036/01/113.jpg"/>
              CA ipſi CE eſt æqualis, minorem igitur proportionem habebit
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              CM ad CE. quàm CL ad CA: & cùm pondera BD FG ſint
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              æqualia, eſt enim idem pondus; ergo minor erit proportio po
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              tentiæ in E pondus FG ſuſtinentis ad ipſum pondus, quàm po
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              tentiæ in A pondus BD ſuſtinentis ad ipſum pondus. </s>
              <s id="id.2.1.95.12.1.4.0">Quare
                <arrow.to.target n="note156"/>
                <lb/>
              minor potentia in E ſuſtinebit pondus FG, quàm potentia in A
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              pondus BD. </s>
              <s id="N1339E">& quò pondus magis eleuabitur; ſemper oſtendetur
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              minorem adhuc potentiam pondus ſuſtinere; cùm linea PC mi
                <arrow.to.target n="note157"/>
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              nor ſit linea CM. </s>
              <s id="id.2.1.95.12.1.4.0.a">ſit deinde vectis in QR, & pondus in QS,
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              cuius
                <expan abbr="centrũ">centrum</expan>
              grauitatis ſit O. </s>
              <s id="id.2.1.95.12.1.4.0.b">dico maiorem requiri potentiam in R
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              ad
                <expan abbr="ſuſtinendũ">ſuſtinendum</expan>
              pondus QS, quàm in A ad pondus BD. </s>
              <s id="N133B9">ducatur à cen
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              tro grauitatis O linea OT horizonti perpendicularis. </s>
              <s id="id.2.1.95.12.1.5.0">& quo­
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              niam HL OT, ſi ex parte L, atq; T producantur, in centrum
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              mundi conuenient; erit CT maior CL: eſt autem CA ipſi CR
                <arrow.to.target n="note158"/>
                <lb/>
              æqualis, habebit ergo TC ad CR maiorem proportionem, quàm
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              LC ad CA. </s>
              <s id="id.2.1.95.12.1.5.0.a">Maior igitur erit potentia in R ſuſtinens pondus
                <arrow.to.target n="note159"/>
                <lb/>
              QS, quàm in A ſuſtinens BD. </s>
              <s id="N133D3">ſimiliter oſtendetur; quò vectis
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              RQ magis à vecte AB diſtabit deorſum vergens, ſemper maio­
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              rem potentiam requiri ad ſuſtinendum pondus: diſtantia enim CV
                <arrow.to.target n="note160"/>
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              longior eſt CT. </s>
              <s id="id.2.1.95.12.1.5.0.b">Quò igitur pondus à ſitu horizonti æquidiſtan
                <lb/>
              te magis eleuabitur à minori ſemper potentia pondus ſuſtinebitur;
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              quò verò magis deprimetur, maiori, vt ſuſtineatur, egebit potentia.
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              </s>
              <s id="id.2.1.95.12.1.6.0">
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              quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.96.1.0.0.0" type="margin">
              <s id="id.2.1.96.1.1.1.0">
                <margin.target id="note153"/>
              5
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.2.0">
                <margin.target id="note154"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.3.0">
                <margin.target id="note155"/>
              8
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.4.0">
                <margin.target id="note156"/>
              10
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.5.0">
                <margin.target id="note157"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.6.0">
                <margin.target id="note158"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.7.0">
                <margin.target id="note159"/>
              8
                <emph type="italics"/>
              Quinti. </s>
              <s id="id.2.1.96.1.1.8.0">Ex
                <emph.end type="italics"/>
              10
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.96.1.1.9.0">
                <margin.target id="note160"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.97.1.0.0.0" type="main">
              <s id="id.2.1.97.1.1.1.0">Hinc facile elicitur potentiam in A ad poten­
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              tiam in E ita eſſe, vt CL ad CM. </s>
            </p>
            <p id="id.2.1.97.2.0.0.0" type="main">
              <s id="id.2.1.97.2.1.1.0">Nam ita eſt LC ad CA, vt potentia in A ad pondus; vt au­
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              tem CA, hoc eſt CE ad CM, ita eſt pondus ad potentiam in E;
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              quare ex æquali potentia in A ad potentiam in E ita erit, vt CL
                <arrow.to.target n="note161"/>
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              ad CM. </s>
            </p>
            <p id="id.2.1.98.1.0.0.0" type="margin">
              <s id="id.2.1.98.1.1.1.0">
                <margin.target id="note161"/>
              22
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.99.1.0.0.0" type="main">
              <s id="id.2.1.99.1.1.1.0">Similiq; ratione non ſolum oſtendetur, potentiam in A ad po­
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              tentiam in R ita eſſe, vt CL ad CT; ſed & potentiam quoq; in E
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              ad potentiam in R ita eſſe, vt CM ad CT. </s>
              <s id="N13474">& ita in reliquis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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