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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12B76" type="main">
              <s id="N12B80">
                <pb xlink:href="077/01/082.jpg" pagenum="78"/>
              tius AB quod fieri non poteſt. </s>
              <s id="N12B92">ſiquidem eſt punctum C, vt
                <lb/>
              ſuppoſitum fuit. </s>
              <s id="N12B96">Vnde ne〈que〉 illud punctum H ipſius DG
                <expan abbr="cẽ">cem</expan>
                <lb/>
              trum grauitatis exiſteret. </s>
            </p>
            <p id="N12B9E" type="main">
              <s id="N12BA0">Hic eſt terminus primę partis principalis, in qua Archime
                <lb/>
              des (vt initio dixim^{9}) de magnitudinib^{9}, & degrauibus in
                <lb/>
              communi pertractauit; quandoquidem propoſitiones, ac de­
                <lb/>
              monſtrationes tam planis, quàm ſolidis quibuſcun〈que〉 ſunt
                <lb/>
              accomodatæ; vt manifeſtum fecimus. </s>
            </p>
            <p id="N12BAA" type="main">
              <s id="N12BAC">Nunc ita 〈que〉 ſe conuertit Archimedes ad
                <expan abbr="inueſtigandũ">inueſtigandum</expan>
              cen
                <lb/>
              tra grauitatis planorum. </s>
              <s id="N12BB4">primùm què perquirit centrum gra­
                <lb/>
              uitatis parallelogrammorum; oſtendetquè centrum grauitatis
                <lb/>
              cuiuſlibet parallelogrammi eſſe in recta linea, quæ coniungit
                <lb/>
              oppoſita latera bifariam diuiſa. </s>
              <s id="N12BBC">ob cuius intelligentiam hæc
                <lb/>
              priùs lemmata in vnum collecta nouiſſe erit valdè vtile. </s>
            </p>
            <p id="N12BC0" type="head">
              <s id="N12BC2">LEMMA.</s>
            </p>
            <p id="N12BC4" type="main">
              <s id="N12BC6">Sit parallelogrammum ABCD, cuius oppoſita latera AB
                <lb/>
              CD ſint bifariam diuiſa in EF. connectaturquè EF, quæ ni
                <lb/>
              mirum æquidiſtans erit ipſis AC BD. Deinde diuidatur v­
                <lb/>
                <arrow.to.target n="fig33"/>
                <lb/>
              naquæ〈que〉 AE EB in partes numero pares, & inuicem ęqua
                <lb/>
              les; vt in AG GE; & EH HB.
                <expan abbr="ducãturquè">ducanturquè</expan>
              GK HL ipſi
                <lb/>
              EF ęquidiſtantes. </s>
              <s id="N12BDB">ſit verò centrum grauitatis ipſius AK pun
                <lb/>
              ctum M. ipfius verò GF punctum N, & ipſius EL pun­
                <lb/>
              ctum O deniquè ipſius HD punctum P. Dico primùm
                <expan abbr="pũ">pum</expan>
                <lb/>
              cta MNOP eſſe in linea recta. </s>
              <s id="N12BE7">deinde lineas MN NO OP
                <lb/>
              inter centra exiſtentes inter ſe æquales eſſe. </s>
              <s id="N12BEB">Deni〈que〉 centrum
                <lb/>
              grauitatis parallelogrammi AD eſſe in linea NO, quę con
                <lb/>
              iungit centra grauitatis ſpatiorum mediorum; parallelogram
                <lb/>
              morum ſcilicet GF EL. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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