DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <pb n="35" xlink:href="036/01/083.jpg"/>
            <p id="id.2.1.59.2.0.0.0" type="head">
              <s id="id.2.1.59.3.1.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.59.4.0.0.0" type="main">
              <s id="id.2.1.59.4.1.1.0">Sit libra BAC, cu­
                <lb/>
              ius centrum A; in pun­
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              ctis verò BC pondera
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              appendantur æqualia G
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              F: ſitq; primùm cen­
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              trum A vtcunque inter
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              BC. </s>
              <s id="id.2.1.59.4.1.1.0.a">Dico pondus F ad
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              pondus G eam in graui
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                <figure id="id.036.01.083.1.jpg" place="text" xlink:href="036/01/083/1.jpg" number="75"/>
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              tate proportionem habere, quam habet diſtantia CA ad diſtan­
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              tiam AB. </s>
              <s id="id.2.1.59.4.1.1.0.b">fiat vt BA ad AC, ita pondus F ad aliud H, quod ap
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              pendatur in B: pondera HF ex A æqueponderabunt. </s>
              <s id="id.2.1.59.4.1.2.0">ſed cùm
                <arrow.to.target n="note113"/>
                <lb/>
              pondera FG ſint æqualia, habebit pondus H ad pondus G ean­
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              dem proportionem, quam habet ad F. </s>
              <s id="N126D2">vt igitur CA ad AB, ita
                <arrow.to.target n="note114"/>
                <lb/>
              eſt H ad G. </s>
              <s id="N126D9">vt autem H ad G, ita eſt grauitas ipſius H ad graui
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              tatem ipſius G; cùm in eodem puncto B ſint appenſa. </s>
              <s id="id.2.1.59.4.1.3.0">quare vt CA
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              ad AB, ita grauitas ponderis H ad grauitatem ponderis G. </s>
              <s id="N126E2">cùm au
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              tem grauitas ponderis F in C appenſi ſit æqualis grauitati ponderis
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              H in B; erit grauitas ponderis F ad grauitatem ponderis G, vt CA
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              ad AB, videlicet vt diſtantia ad diſtantiam. </s>
              <s id="id.2.1.59.4.1.4.0">quod demonſtrare
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              oportebat. </s>
            </p>
            <p id="id.2.1.60.1.0.0.0" type="margin">
              <s id="id.2.1.60.1.1.1.0">
                <margin.target id="note113"/>
              6
                <emph type="italics"/>
              Primi Archim. de æquep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.60.1.1.3.0">
                <margin.target id="note114"/>
              7
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.61.1.0.0.0" type="main">
              <s id="id.2.1.61.1.1.1.0">Si verò libra B
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              AC ſecetur vtcunq;
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              in D, & in DC ap­
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              pendantur pondera
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              æqualia EF. </s>
              <s id="id.2.1.61.1.1.1.0.a">Dico
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              ſimiliter ita eſſe gra­
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                <figure id="id.036.01.083.2.jpg" place="text" xlink:href="036/01/083/2.jpg" number="76"/>
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              uitatem ponderis F ad grauitatem ponderis E, vt diſtantia CA ad
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              diſtantiam AD. </s>
              <s id="id.2.1.61.1.1.1.0.b">fiat AB æqualis ipſi AD, & in B appendatur
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              pondus G æquale ponderi E, & ponderi F. </s>
              <s id="id.2.1.61.1.1.1.0.c">Quoniam enim AB eſt
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              æqualis AD; pondera GE æqueponderabunt. </s>
              <s id="id.2.1.61.1.1.2.0">ſed cùm grauitas
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              ponderis F ad grauitatem ponderis G ſit, vt CA ad AB, & graui
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              tas ponderis E ſit æqualis grauitati ponderis G; erit grauitas pon­
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              deris F ad grauitatem ponderis E, vt CA ad AB, hoc eſt vt CA
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              ad AD. </s>
              <s id="N12738">quod demonſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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