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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12CC8" type="main">
              <s id="N12CCA">
                <pb xlink:href="077/01/084.jpg" pagenum="80"/>
              lem eſſe ipſi SN. Quoniam igitur OT NS ſunt ęquales, iti­
                <lb/>
              demquè TN SM æquales, erit ON ipſi NM æqualis. </s>
              <s id="N12CD4">ea­
                <lb/>
              demquè ratione oſtendetur OP ęqualem eſſe ipſi ON. vn­
                <lb/>
              de colligitur lineas MN NO OP inter centra exiſtentes in­
                <lb/>
              rerſe ęquales eſſe. </s>
            </p>
            <p id="N12CDC" type="main">
              <s id="N12CDE">Poſtremò quoniam parallelogramma AK GF EL HD
                <lb/>
              ſunt inuicem æqualia, & numero paria, centraquè grauitatis
                <lb/>
              ſunt in recta linea poſita. </s>
              <s id="N12CE4">lineęquè MN NO OP inter cen­
                <lb/>
              tra ſunt ęquales, magnitudinis ex omnibus AK GF EL HD
                <lb/>
                <arrow.to.target n="marg76"/>
              magnitudinibus compoſitæ centrum grauitatis eſt in linea
                <lb/>
              MP bifariam diuiſa. </s>
              <s id="N12CF0">Et quoniam MN eſt æqualis ipſi OP,
                <lb/>
              punctum, quod bifariam diuidit MP cadet in linea NO.
                <lb/>
              centrum ergo grauitatis omnium magnitudinum AK GF
                <lb/>
              EL HD, hoc eſt parallelogrammi AD eſt in linea NO, quę
                <lb/>
              coniungit centra ſpatiorum mediorum GF EL. quę
                <expan abbr="quidẽ">quidem</expan>
                <lb/>
              omnia oſtendere oportebat. </s>
            </p>
            <p id="N12D00" type="margin">
              <s id="N12D02">
                <margin.target id="marg76"/>
              2.
                <emph type="italics"/>
              cor. </s>
              <s id="N12D09">quin
                <lb/>
              tæ huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12D0F" type="main">
              <s id="N12D11">Quoniam autem centrum grauitatis
                <expan abbr="parallelogrãmi">parallelogrammi</expan>
              AD
                <lb/>
              eſt in linea NO, & in linea MP bifariam diuiſa; non repu­
                <lb/>
              gnare videtur, quin inferri poſſit, hoc centrum eſſe in puncto
                <lb/>
              T, in linea EF exiſtente. </s>
              <s id="N12D1D">Quòd tamen falſum eſt. </s>
              <s id="N12D1F">nam poſ
                <lb/>
              ſet quidem concludi centru eſſe in medio lineę NO (
                <expan abbr="ſiquidẽ">ſiquidem</expan>
                <lb/>
              eſt in medio lineę MP, vt
                <expan abbr="dictũ">dictum</expan>
              eſt) ſed
                <expan abbr="nõ">non</expan>
              in
                <expan abbr="pũcto">puncto</expan>
              T; ex
                <expan abbr="demõ">demom</expan>
                <lb/>
              ſtratione enim oſtenditur NS æqualem eſſe ipſi TO. at verò
                <lb/>
              NT ęqualem eſſe ipſi TO, nullo modo demonſtrari poteſt;
                <lb/>
              niſi ſupponeremus centra grauitatis MNOP in parallelogra
                <lb/>
              mis ita ſe habere, vt MQ MR, & MR RN, & RN NT &
                <lb/>
              NT TO, &c. </s>
              <s id="N12D43">inter ſe ęquales eſſent. </s>
              <s id="N12D45">quod nullo modo ſup­
                <lb/>
              poni poteſt nam hoc modo centra grauitatis parallelogram­
                <lb/>
              morum AK GF &c. </s>
              <s id="N12D4B">eſſent in lineis, quę bifariam ſecant op
                <lb/>
              poſita latera. </s>
              <s id="N12D4F">eſſent quippè in lineis à punctis MN OP du­
                <lb/>
              ctisipſis AC GK EF &c. </s>
              <s id="N12D53">æquidiftantibus, quæ oppoſita la
                <lb/>
              tera AG CK, GE KF, EH FL, &c. </s>
              <s id="N12D57">bifariam ſecarent. </s>
              <s id="N12D59">quod
                <lb/>
              eſt id, quod Archimedes demonſtrare in
                <expan abbr="ſe〈quẽ〉ti">ſe〈que〉nti</expan>
              nititur. </s>
              <s id="N12D61">quod
                <lb/>
              quidem in cauſa eſt, vt demonſtratione ad impoſſibile id de­
                <lb/>
              ducat. </s>
              <s id="N12D67">ſuppoſuimus autem (vt pareſt) parallelogramma </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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