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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/087.jpg" pagenum="83"/>
            <p id="N12EDC" type="margin">
              <s id="N12EDE">
                <margin.target id="marg83"/>
              *</s>
            </p>
            <p id="N12EE2" type="main">
              <s id="N12EE4">Ex hac nona propoſitione duo corolloria elicere poſſum^{9};
                <lb/>
              quæ quidem tanquam valde nota fortafſe videtur omiſiſſe Ar
                <lb/>
              chimedes. </s>
              <s id="N12EEA">quamuis
                <expan abbr="primũ">primum</expan>
              in ſe〈que〉nti
                <expan abbr="demõſtratione">demonſtratione</expan>
              inſeruit. </s>
            </p>
            <p id="N12EF4" type="head">
              <s id="N12EF6">COROLLARIVM. I.</s>
            </p>
            <p id="N12EF8" type="main">
              <s id="N12EFA">Ex hoc perſpicuum eſt cuiuſlibet parallelogrammi
                <expan abbr="cẽtrum">centrum</expan>
                <lb/>
              grauitatis eſſe punctum, in quo coincidunt rectæ lineæ, quæ
                <lb/>
              oppoſita latera bifariam ſecant. </s>
            </p>
            <p id="N12F04" type="main">
              <s id="N12F06">Nam (vt Archimedes etiam ſe
                <lb/>
                <arrow.to.target n="fig34"/>
                <lb/>
              〈que〉nti demonſtratione inquit)
                <lb/>
              ſi parallelogrammi ABCD lineę
                <lb/>
              EF GH bifariam diuident late­
                <lb/>
              ra oppoſita AB DC, & AD BC.
                <lb/>
              patet in EF centrum eſſe graui­
                <lb/>
              tatis parallelogrammi AC. ſimi
                <lb/>
              liter conſtat idem centrum eſſe
                <lb/>
              in linea GH, quæ oppoſita latera AD BC bifariam ſecat. </s>
              <s id="N12F1D">e­
                <lb/>
              ritigitur in K, vbi EF GH ſeinuicem ſecant. </s>
            </p>
            <figure id="id.077.01.087.1.jpg" xlink:href="077/01/087/1.jpg" number="50"/>
            <p id="N12F25" type="head">
              <s id="N12F27">COROLLARIVM. II.</s>
            </p>
            <p id="N12F29" type="main">
              <s id="N12F2B">Ex hoc patet etiam, cuiuſlibet parallelogrammi
                <expan abbr="centrũ">centrum</expan>
              gra
                <lb/>
              uitatis eſſe in medio rectæ lineę, quæ bifariam oppoſita latera
                <lb/>
              diſpeſcit. </s>
            </p>
            <p id="N12F35" type="main">
              <s id="N12F37">Cùm enim oſtenſum ſit centrum grauitatis parallelogram
                <lb/>
              mi AC eſſe punctum K. & ob parallelogrammum EH eſt
                <lb/>
              EK æqualis BH. propter parallelogrammum verò
                <arrow.to.target n="marg84"/>
                <lb/>
              linea KF eſt æqualis HC. ſuntquè BH HC æqua­
                <lb/>
              les. </s>
              <s id="N12F44">erit EK ipſi KF æqualis. </s>
              <s id="N12F46">punctum ergo K eſt in medio
                <lb/>
              rectæ lineę EF, quæ oppoſita latera AB DC bifariam diui­
                <lb/>
              dit.
                <expan abbr="Eodẽq́">Eoden〈que〉</expan>
              ; prorſus modo
                <expan abbr="oſtẽdetur">oſtendetur</expan>
              , K
                <expan abbr="mediũ">medium</expan>
              eſſe rectę lineę
                <lb/>
              GH, quæ bifariam ſecat oppoſita latera AD BC. </s>
            </p>
            <p id="N12F5A" type="margin">
              <s id="N12F5C">
                <margin.target id="marg84"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12F65" type="main">
              <s id="N12F67">In ſe〈que〉nti Archimedes adhuc perſiſtit in inuentione cen­
                <lb/>
              tri grauitatis parallelogrammorum, alia tamen methodo.
                <lb/>
              nam hoc peripſorum parallelogrammorum diametros duo­
                <lb/>
              bus modis aſſequitur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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