DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11F30" type="main">
              <s id="N11F47">
                <pb xlink:href="077/01/060.jpg" pagenum="56"/>
              magnitudinum BC, hoc eſt magnitudinis ex BC compoſi­
                <lb/>
              tæ centrum grauitatis ſit punctum E; auferantur verò BC
                <lb/>
              à linea EA, & ipſarum loco ponatur in E magnitudo;
                <lb/>
              quæ ſit vtriſ〈que〉 ſimul BC ęqualis, vt in ſecunda figura. </s>
              <s id="N11F5D">Dico
                <lb/>
              eodem modo pondera ABC ę〈que〉ponderare in prima figu­
                <lb/>
              ra, veluti grauia AE in ſecunda. </s>
            </p>
            <figure id="id.077.01.060.1.jpg" xlink:href="077/01/060/1.jpg" number="35"/>
            <p id="N11F67" type="main">
              <s id="N11F69">Primum autem, vthoc recte per
                <lb/>
                <arrow.to.target n="fig26"/>
                <lb/>
              pendamus, intelligantur pondera
                <lb/>
              BC (vt in tertia figura) ſeorſum
                <lb/>
              à linea CA, & penes diſtantias EC
                <lb/>
              EB conſtituta. </s>
              <s id="N11F78">quorum quidem
                <expan abbr="põ-derum">pon­
                  <lb/>
                derum</expan>
              ſit centrum grauitatis E. ſi igitur intelligatur poten
                <lb/>
                <arrow.to.target n="marg44"/>
              tia in E ſuſtinere pondera BC, hoc eſt pondus exipſis BC
                <lb/>
              compoſitum: pondera uti〈que〉 manebunt. </s>
              <s id="N11F88">quòd ſi ambo pe­
                <lb/>
              penderint, vt quinquaginta, potentia in E tantùm quinqua
                <lb/>
              ginta ſuſtinebit. </s>
              <s id="N11F8E">quoniam totum ſuſtinebit pondus ex ipſis
                <lb/>
              compoſitum, auferantur verò pondera BC à ſitu BC, intelli
                <lb/>
              ganturquè pondera eſſe in E conſtituta; hoc eſt vnum ſit
                <lb/>
              pondus ex ipſis ſimul iunctis compoſitum, cuius
                <expan abbr="cẽtrum">centrum</expan>
              gra­
                <lb/>
              uitatis ſit in E conſtitutum; tunc eadem potentia in E eo­
                <lb/>
              dem modo hoc pondus ſuſtinebit; propterea quod
                <expan abbr="eodẽ">eodem</expan>
              mo­
                <lb/>
              do quinquaginta tantùm ſuſtinebit. </s>
              <s id="N11FA4">Quare pondera BC
                <expan abbr="tã">tam</expan>
                <lb/>
              ex diſtantijs EC EB grauitant, quàm ſi vtra〈que〉 in E con
                <lb/>
              ſtituta fuerint; vel quod idem eſt, quàm pondus ipſis BC ſi­
                <lb/>
              mul æquale in E poſitum. </s>
              <s id="N11FB0">Ex quo patetid, quod initio prę­
                <lb/>
              fati ſum us, nempe, vnumquodquè graue in eius centro gra­
                <lb/>
              uitatis propriè grauitare. </s>
              <s id="N11FB6">Quocum 〈que〉 enim modo
                <expan abbr="eadẽ">eadem</expan>
              gra
                <lb/>
              uia ſeſe habent, eodem ſemper modo in eius grauitatis
                <expan abbr="cẽtro">centro</expan>
                <lb/>
              grauitant. </s>
            </p>
            <p id="N11FC4" type="margin">
              <s id="N11FC6">
                <margin.target id="marg44"/>
                <emph type="italics"/>
              per def.
                <lb/>
              cent. </s>
              <s id="N11FCE">grau.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.060.2.jpg" xlink:href="077/01/060/2.jpg" number="36"/>
            <p id="N11FD6" type="main">
              <s id="N11FD8">Quibus cognitis, intelligantur nunc grauia BC in linea
                <lb/>
              CA poſita eſſe; ut in ſuperiori figura: & ut quod propoſitum
                <lb/>
              fuit, oſtendatur; hoc modo argumentari licebit. </s>
              <s id="N11FDE">Quoniam
                <lb/>
              enim magnitudines BC ſuam habent grauitatem in E, ſiqui
                <lb/>
              dem pro vna tantùm intelliguntur magnitudine ex BC com
                <lb/>
              poſita, cuius punctum E centrum grauitatis exiſtit. </s>
              <s id="N11FE6">in
                <expan abbr="ſecũ">ſecum</expan>
                <lb/>
              da verò figura magnitudo E ſimiliter ſuam habet
                <expan abbr="grauitatẽ">grauitatem</expan>
                <lb/>
              in puncto E; quod eſt eius
                <expan abbr="centrũ">centrum</expan>
              grauitatis. </s>
              <s id="N11FF8">at〈que〉 </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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