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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/089.jpg" pagenum="85"/>
            <p id="N1301A" type="margin">
              <s id="N1301C">
                <margin.target id="marg85"/>
              9
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13025" type="margin">
              <s id="N13027">
                <margin.target id="marg86"/>
              29,
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13030" type="margin">
              <s id="N13032">
                <margin.target id="marg87"/>
              4.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.089.1.jpg" xlink:href="077/01/089/1.jpg" number="51"/>
            <p id="N1303F" type="main">
              <s id="N13041">ALITER. </s>
            </p>
            <p id="N13043" type="main">
              <s id="N13045">
                <emph type="italics"/>
              Hoc autem aliter quo­
                <lb/>
              〈que〉 oſtendetur. </s>
              <s id="N1304B">ſit paralle
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="fig36"/>
                <lb/>
                <emph type="italics"/>
              logrammum ABCD.
                <lb/>
              ipſius verò diameter ſit
                <emph.end type="italics"/>
                <arrow.to.target n="marg88"/>
                <lb/>
                <emph type="italics"/>
              B D. triangula
                <emph.end type="italics"/>
              vti〈que〉
                <lb/>
              ABD BDC
                <emph type="italics"/>
              erunt in­
                <lb/>
              terſe æqualia, & ſimilia.
                <lb/>
              quare triangulis inuicem
                <lb/>
              coaptatis; centra quo〈que〉
                <lb/>
              grauitatis ipſorum inuicem coaptabuntur. </s>
              <s id="N13074">Sit autem trianguli ABD cen
                <emph.end type="italics"/>
                <arrow.to.target n="marg89"/>
                <lb/>
                <emph type="italics"/>
              trum grauitatis punctum E; lineaquè BD bifariam ſecetur in H. con
                <lb/>
              nectaturquè EH, & producatur. </s>
              <s id="N13082">ſumaturquè FH æqualisipſi HE.
                <lb/>
              Ita〈que〉 coaptato triangulo ABD cumtriangulo B DC, poſitoquè latere
                <lb/>
              AB in DC,
                <emph.end type="italics"/>
              hoc eſt A in C, & B in D.
                <emph type="italics"/>
              AD autem
                <emph.end type="italics"/>
              poſito
                <emph type="italics"/>
              in
                <lb/>
              BC;
                <emph.end type="italics"/>
              A ſcilicet in C, & D in B. vnde & BD cum ipſamet
                <lb/>
              DB coaptatur, B ſcilicet in D, & D in B. quia verò pun­
                <lb/>
              ctum H ſibi ipſi coaptatur, cùm fitmedium lineę BD. & an
                <lb/>
              guli EHD FHB ad verticem ſunt æquales; lineaquè EH eſt
                <lb/>
              ipſi HF ęqualis;
                <emph type="italics"/>
              congruet etiam recta HE cum recta FH, &
                <expan abbr="pũ-ctum">pun­
                  <lb/>
                ctum</expan>
              E cum F conueniet, ſed
                <emph.end type="italics"/>
              quoniam punctum E centrum
                <lb/>
              eſt grauitatis trianguli ABD idem punctum E
                <emph type="italics"/>
              cum centro e­
                <lb/>
              tiam grauitatis trianguli B DC
                <emph.end type="italics"/>
              conueniet. </s>
              <s id="N130B7">ergo punctum F
                <expan abbr="cẽ-trum">cen­
                  <lb/>
                trum</expan>
              eſt grauitatis trianguli BDC. Nunc verò intelligantur
                <lb/>
              triangula non ampliùs coaptata.
                <emph type="italics"/>
              Quoniam igitur centrum graui­
                <lb/>
              tatis trianguli ABD eſt punctum E, ipſius verò DBC est punctum F,
                <emph.end type="italics"/>
                <lb/>
              triangulaquè ABD DBC ſunt ęqualia,
                <emph type="italics"/>
              patet magnitudinis ex v­
                <lb/>
              triſ〈que〉 triangulis compoſit
                <gap/>
              centrum grauitatis eſſe medium rectæ lineæ
                <emph.end type="italics"/>
                <arrow.to.target n="marg90"/>
                <lb/>
                <emph type="italics"/>
              EF; quod eſt punctum H,
                <emph.end type="italics"/>
              vt factum furt. </s>
              <s id="N130DE">Quoniam autem dia­
                <lb/>
              metri cuiuſlibet parallelogrammi ſeſe bifariam diſpeſcunt, e­
                <lb/>
              rit punctum H, vbi diametri parallelogrammi ABCD con­
                <lb/>
              currunt. </s>
              <s id="N130E6">ergo punctum H, in quo diametri coincidunt; ipſius
                <lb/>
              ABCD centrum grauitatis exiſtit. </s>
              <s id="N130EA">quod demonſtrare opor­
                <lb/>
              rebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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