DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.7.3.0.0.0" type="main">
              <s id="id.2.1.7.3.1.2.0">
                <pb n="5" xlink:href="036/01/023.jpg"/>
              vtriſq; AB ponderibus compoſitæ. </s>
              <s id="id.2.1.7.3.1.3.0">& CD libram ſuſtinens ho­
                <lb/>
              rizonti
                <arrow.to.target n="note6"/>
              eſt perpendicularis, libra ergo AB in hoc ſitu manebit.
                <arrow.to.target n="note7"/>
                <lb/>
              moueatur autem libra AB ab hoc ſitu, putà in EF, deinde relinqua
                <lb/>
              tur. </s>
              <s id="id.2.1.7.3.1.4.0">dico libram EF ex parte F moueri. </s>
              <s id="id.2.1.7.3.1.5.0">Quoniam igitur CD
                <lb/>
              ipſi libræ ſemper eſt perpendicularis, dum libra erit in EF, erit
                <lb/>
              CD in CG ipſi EF perpendicularis. </s>
              <s id="id.2.1.7.3.1.6.0">& punctum G magnitudi­
                <lb/>
              nis ex EF compoſitæ centrum grauitatis erit; quod dum moue­
                <lb/>
              tur, circuli circumferentiam deſcribet DGH, cuius ſemidiameter
                <lb/>
              CD, & centrum C. </s>
              <s id="id.2.1.7.3.1.6.0.a">Quoniam autem CG horizonti non eſt per­
                <lb/>
              pendicularis, magnitudo ex EF ponderibus compoſita in hoc ſi­
                <lb/>
              tu minimè manebit; ſed ſecundùm eius grauitatis centrum G deor
                <lb/>
              ſum per circumferentiam GH mouebitur. </s>
              <s id="id.2.1.7.3.1.7.0">libra ergo EF ex par
                <lb/>
              te F deorſum mouebitur, quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.8.1.0.0.0" type="margin">
              <s id="id.2.1.8.1.1.1.0">
                <margin.target id="note6"/>
              4.
                <emph type="italics"/>
              Primi Archim. de æquep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.8.1.1.3.0">
                <margin.target id="note7"/>
              1.
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.9.1.0.0.0" type="head">
              <s id="id.2.1.9.1.1.1.0">PROPOSITIO IIII. </s>
            </p>
            <p id="id.2.1.9.2.0.0.0" type="main">
              <s id="id.2.1.9.2.1.1.0">Libra horizonti æquidiſtans æqualia in ex­
                <lb/>
              tremitatibus, æqualiterq; à centro in ipſa libra
                <lb/>
              collocato, diſtantia habens pondera; ſiue inde
                <lb/>
              moueatur, ſiue minus; vbicunq; relicta, manebit.
                <figure id="id.036.01.023.1.jpg" place="text" xlink:href="036/01/023/1.jpg" number="10"/>
              </s>
            </p>
            <p id="id.2.1.9.3.0.0.0" type="main">
              <s id="id.2.1.9.3.1.1.0">Sit libra recta linea A
                <lb/>
              B horizonti æquidiſtans,
                <lb/>
              cuius centrum C in ea­
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              dem ſit linea AB; diſtan
                <lb/>
              tia verò CA ſit diſtantiæ
                <lb/>
              CB æqualis: ſintq; pon­
                <lb/>
              dera in AB æqualia, quo­
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              rum centra grauitatis ſint
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              in
                <expan abbr="puntis">punctis</expan>
              AB. </s>
              <s id="id.2.1.9.3.1.1.0.a">Moueatur
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              libra, vt in DE, ibiquè
                <lb/>
              relinquatur. </s>
              <s id="id.2.1.9.3.1.2.0">Dico primùm libram DE non moueri, in eoquè ſitu
                <lb/>
              manere. </s>
              <s id="id.2.1.9.3.1.3.0">Quoniam enim pondera AB ſunt æqualia; erit magni­
                <lb/>
              tudinis ex vtroq; pondere, videlicet A, & B compoſitæ centrum
                <lb/>
              grauitatis C. quare idem punctum C, & centrum libræ, &
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis totius ponderis erit. </s>
              <s id="id.2.1.9.3.1.4.0">Quoniam autem centrum libræ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>