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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11AEC" type="main">
              <s id="N11B42">
                <pb xlink:href="077/01/052.jpg" pagenum="48"/>
              vnde ſequitur centrum grauitatis ipſorum grauium ubicum
                <lb/>
              〈que〉 eſſe poſſe in recta linea, quę ipſorum centra grauitatis
                <expan abbr="cõ">con
                  <lb/>
                iungit</expan>
              . </s>
              <s id="N11B64">Ex quibus concludi poteſt,
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis magni­
                <lb/>
              tudinis ex duabus magnitudinibus compoſitę eſſe in recta li
                <lb/>
              nea, quæ ipſorum centra grauitatis connectit. </s>
            </p>
            <p id="N11B6E" type="main">
              <s id="N11B70">Poſtremò notandum eſt, Archimedem ea, quæ in ſuperio
                <lb/>
              ribus propoſitionibus nuncupauit grauia, in hac quarta pro
                <lb/>
              poſitione, veluti etiam in ſe〈que〉ntibus, non ampliùs grauia,
                <lb/>
              ſed (vti diximus) magnitudines nominare. </s>
              <s id="N11B78">quod quidem his
                <lb/>
              de cauſis id ab ipſo factum exiſtimo. </s>
              <s id="N11B7C">primùm enim, quia in
                <lb/>
              his expreſse quærit centrum grauitatis; quod quidem
                <expan abbr="cẽtrum">centrum</expan>
              ,
                <lb/>
              quamuis ſit centrum grauitatis, potiùs reſpicit
                <expan abbr="magnitudinẽ">magnitudinem</expan>
              ,
                <lb/>
              quàm graue aliquod. </s>
              <s id="N11B8C">Nam cùm dicimus centrum grauitatis,
                <lb/>
              ſtatim innuimus ſitum, ſitum inquàm determinatum figu­
                <lb/>
              ræ, in qua eſt; ſiquidem centrum grauitatis eſt punctum, &
                <lb/>
              (vt ita dicam) punctum grauitatis eius, in quo eſt. </s>
              <s id="N11B94">& ideo,
                <lb/>
              quoniam magnitudo formam habet dete mina tam,
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis rectè poteſt reſpicere ſitum reſpectu magnitudinis,
                <lb/>
              in qua eſt; quod tamen efficere non poteſt reſpectu grauis.
                <lb/>
              etenim graue, ut graue eſt, non habet formam determina
                <expan abbr="tã">tam</expan>
              ;
                <lb/>
              cùm eadem grauitas eſſe poſſit in cubo, in piramide, aliiſquè
                <lb/>
              corporibus quibuſcun〈que〉, modò minoribus, modò maiori­
                <lb/>
              bus, pro ut ſunt diuerſarum ſpecierum. </s>
              <s id="N11BAC">quare centrum grauita
                <lb/>
              tis non poteſt reſpicere ſitum in grauibus, quatenus grauia
                <expan abbr="cõ">con
                  <lb/>
                ſiderantur</expan>
              ; ſed quatenus magnitudines exiſtunt. </s>
              <s id="N11BB6">Præterea Ar­
                <lb/>
              chimedes loco grauium magnitudines nominat, quia eas di­
                <lb/>
              uiſibiles conſiderat, quod eſt proprium magnitudinis; vt in ſe
                <lb/>
              xta, ſeptima, & octaua propoſitione. </s>
              <s id="N11BBE">& quamuis, dum
                <expan abbr="diuidũ">diuidum</expan>
                <lb/>
              tur magnitudines, grauia quo〈que〉 diuiſa proueniant; non ta­
                <lb/>
              men propterea grauia diuiduntur, ut grauia.
                <expan abbr="nõ">non</expan>
              .n. </s>
              <s id="N11BCC">hoc ipſis
                <lb/>
              competit, vt grauibus; ſed vt magnitudinibus, quæ ſunt per
                <lb/>
              ſe diuiſibiles. </s>
              <s id="N11BD2">Archimedes igitur his de cauſis nomen
                <expan abbr="grauiũ">grauium</expan>
                <lb/>
              in magnitudines mutauit. </s>
              <s id="N11BDA">in ſuperioribus enim theoremati­
                <lb/>
              bus pertractauit, quomodo res æ〈que〉ponderant ex diſtantijs
                <lb/>
              modò æqualibus, modò in æqualibus. </s>
              <s id="N11BE0">& quoniam res
                <expan abbr="ę〈que〉põ-derant">ę〈que〉pon
                  <lb/>
                derant</expan>
              , pro ut ſunt magis grauia, & minùs grauia; non ut
                <expan abbr="sũt">sunt</expan>
                <lb/>
              maiores, vel minores magnitudines, ſiquidem talis naturæ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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