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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/046.jpg" pagenum="42"/>
            <p id="N1175A" type="head">
              <s id="N1175C">PROPOSITIO. IIII.</s>
            </p>
            <p id="N1175E" type="main">
              <s id="N11760">Si due magnitudines æquales non idem
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis habuerint, magnitudinis ex vtriſ〈que〉
                <lb/>
              magnitudinibus compoſitæ centrum grauitatis
                <lb/>
              erit medium rectæ lineæ grauitatis centra magni
                <lb/>
              tudinum coniungentis. </s>
            </p>
            <p id="N1176E" type="main">
              <s id="N11770">
                <emph type="italics"/>
              Sit
                <expan abbr="quidẽ">quidem</expan>
              A
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="fig19"/>
                <lb/>
                <emph type="italics"/>
                <expan abbr="centrũ">centrum</expan>
              grauita
                <lb/>
              tis magnitudi­
                <lb/>
              nis A. B uerò
                <emph.end type="italics"/>
                <lb/>
              ſit
                <expan abbr="cẽtrũ">centrum</expan>
              gra­
                <lb/>
              uitatis
                <emph type="italics"/>
              magni­
                <lb/>
              tudinis B iun­
                <lb/>
              staquè AB bifariam diuidatur in C. dico magnitudinis ex utriſquè ma­
                <lb/>
              gnitudinibus compoſitæ centrum
                <emph.end type="italics"/>
              grauitatis
                <emph type="italics"/>
              eſſe punctum C. ſi.
                <expan abbr="n.">enim</expan>
              non; ſit
                <lb/>
              utrarumquè magnitudinum AB centrum grauitatis D, ſi fieri
                <expan abbr="põt">potest</expan>
              . Quòd
                <lb/>
              autem ſit in linea AB, præoſtenſum est. </s>
              <s id="N117AF">Quoniam igitur punstum D
                <expan abbr="cẽ">cem</expan>
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg34"/>
                <emph type="italics"/>
                <expan abbr="trũ">trum</expan>
              eſt grauitatis magnitudinis ex AB
                <expan abbr="cõpoſitæ">compoſitæ</expan>
              ,
                <expan abbr="ſuſpẽſo">ſuſpenſo</expan>
                <expan abbr="pũcto">puncto</expan>
              D
                <emph.end type="italics"/>
              , magni
                <lb/>
              tudines AB
                <emph type="italics"/>
              æ〈que〉ponderabunt. </s>
              <s id="N117D6">magnitudines igitur AB
                <emph.end type="italics"/>
              ęquales
                <emph type="italics"/>
              æ〈que〉
                <lb/>
              ponderant ex diſtantiis AD DB
                <emph.end type="italics"/>
              in ęqualibus exiſtentibus;
                <emph type="italics"/>
              quod fie
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg35"/>
                <emph type="italics"/>
              ri non poteſt. </s>
              <s id="N117F1">æqualia.
                <expan abbr="n.">enim</expan>
                <emph.end type="italics"/>
              grauia
                <emph type="italics"/>
              ex diſtantiis in a qualibus non
                <expan abbr="æ〈que〉põde-rãt">æ〈que〉ponde­
                  <lb/>
                rant</expan>
              .
                <emph.end type="italics"/>
                <expan abbr="Nõ">non</expan>
              eſt igitur D
                <expan abbr="ipſarũ">ipſarum</expan>
                <expan abbr="magnitudinũ">magnitudinum</expan>
                <expan abbr="cẽtrũ">centrum</expan>
              grauitatis..
                <emph type="italics"/>
              Qua
                <lb/>
              re manifestum est punstum C
                <expan abbr="centrũ">centrum</expan>
              eſſe grauitatis magnitudinis ex AB
                <lb/>
              compoſitæ.
                <emph.end type="italics"/>
              quod demonſtrare oportebat. </s>
            </p>
            <p id="N11823" type="margin">
              <s id="N11825">
                <margin.target id="marg34"/>
                <emph type="italics"/>
              def. </s>
              <s id="N1182B">centri
                <lb/>
              grauit.
                <lb/>
              contra 2.
                <lb/>
              post huius
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11835" type="margin">
              <s id="N11837">
                <margin.target id="marg35"/>
              2
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.046.1.jpg" xlink:href="077/01/046/1.jpg" number="25"/>
            <p id="N11846" type="head">
              <s id="N11848">SCHOLIVM.</s>
            </p>
            <figure id="id.077.01.046.2.jpg" xlink:href="077/01/046/2.jpg" number="26"/>
            <p id="N1184D" type="main">
              <s id="N1184F">Poſſunt magnitudines ęquales
                <expan abbr="idẽ">idem</expan>
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis habere, vt duo
                <expan abbr="parallelogrãma">parallelogramma</expan>
              æ­
                <lb/>
              qualia ad rectos ſibi
                <expan abbr="inuicẽ">inuicem</expan>
              angulos exiſten
                <lb/>
              tia:
                <expan abbr="triãgulũ">triangulum</expan>
              quo〈que〉 &
                <expan abbr="parallelogrãmũ">parallelogrammum</expan>
              in­
                <lb/>
              terſe æqualia.
                <expan abbr="p̃terea">propterea</expan>
              cubos, piramides, cylin
                <lb/>
              dros, & huiuſmodi alias magnitudines ęqua
                <lb/>
              les
                <expan abbr="idẽ">idem</expan>
              grauitatis
                <expan abbr="cẽtrũ">centrum</expan>
                <expan abbr="hẽre">herre</expan>
              intelligere poſſu
                <lb/>
              mus. </s>
              <s id="N11887">propterea in propoſitione cùm inquit Archimedes
                <lb/>
                <emph type="italics"/>
              ſi duæ magnitudines æquales non idem centrum grauitatis
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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