DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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        <body>
          <chap id="N10019">
            <p id="N11446" type="main">
              <s id="N11448">
                <pb xlink:href="077/01/043.jpg" pagenum="39"/>
              puum, nempè magnitudinum grauitates inter ſe ita ſe habe­
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              re, vt diſtantiæ permutatim ex quibus ſuſpenduntur ſe
                <expan abbr="habẽt">habent</expan>
              .
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              primùm incipit oſtendere, quomodo ſe habeant grauia in di
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              ſtantijs ęqualibus poſita; primùmquè in hac prima propoſitio
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              ne oſtendit, ſi grauia ę〈que〉ponderant ex diſtantijs ęqualibus,
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              ęqualia eſſe. </s>
              <s id="N1145E">in ſe〈que〉nti verò, ſi grauia ſunt inęqualia, ex di­
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              ſtantijs ęqualibus nullo modo æ〈que〉ponderare oſtendet; ſed
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              præponderare ad maius. </s>
            </p>
            <p id="N11464" type="head">
              <s id="N11466">PROPOSITIO. II.</s>
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            <p id="N11468" type="main">
              <s id="N1146A">Inæqualia grauia ex æqualibus diſtantijs non
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              æ〈que〉ponderabunt, ſed præponderabit ad maius. </s>
            </p>
            <figure id="id.077.01.043.1.jpg" xlink:href="077/01/043/1.jpg" number="23"/>
            <p id="N11471" type="main">
              <s id="N11473">Sint gra­
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              uia inęqua­
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              lia AB C in
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              diſtantijs
                <expan abbr="ę­qualib^{9}">ę­
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                qualibus</expan>
              DA
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              DC. ſitquè
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              grauius AB,
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              quàm C. di
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              co grauia AB C non ę〈que〉ponderare, ſed maius AB
                <expan abbr="deorsũ">deorsum</expan>
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              ferri. </s>
              <s id="N1148B">ſit B exceſſus, quo AB ſuperat C.
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              ablato
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              ita〈que〉 à ma
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              iori AB
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              exceſſu
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              B, reliqua grauia AC ęqualia ex diſtantijs
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              DA DC
                <emph type="italics"/>
              æ〈que〉ponderabunt. </s>
              <s id="N114A0">cùm æqualia grauia ex distantiis æquali-
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                <arrow.to.target n="marg25"/>
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                <emph type="italics"/>
              bus æ〈que〉ponderent.
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              ſi ita〈que〉 grauia AC ę〈que〉ponderant,
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              adiecto
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              igitur
                <emph.end type="italics"/>
              ipſi A
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              ablato
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              B,
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              præponderabit ad maius
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              , hoc eſt ab
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                <lb/>
              ſum tendet.
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              quoniam æ〈que〉ponderantium altero
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              nempè A
                <emph type="italics"/>
              adiectum
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              fuit
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              B. Grauius igitur præponderat leuiori, ambobus in
                <expan abbr="diſtãtijs">diſtan
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                tijs</expan>
              ęqualibus poſitis. </s>
              <s id="N114DC">quod demonſtrare oportebat. </s>
            </p>
            <p id="N114DE" type="margin">
              <s id="N114E0">
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              1
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              poſt hu­
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              ius.
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              </s>
            </p>
            <p id="N114EB" type="margin">
              <s id="N114ED">
                <margin.target id="marg26"/>
              3
                <emph type="italics"/>
              post hu­
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              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N114F8" type="head">
              <s id="N114FA">SCHOLIVM.</s>
            </p>
            <p id="N114FC" type="main">
              <s id="N114FE">Hæc duo theoremata in gręco exemplari impreſſo ſequun
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              tur
                <expan abbr="quidẽ">quidem</expan>
              poſtulata, & reliquis theorematibus ſunt prępoſita. </s>
            </p>
          </chap>
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    </archimedes>
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