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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N14D08" type="main">
              <s id="N14D39">
                <pb xlink:href="077/01/132.jpg" pagenum="128"/>
              hæc planèſe conſequuntur, vt exempli gratia in figura pun­
                <lb/>
              ctum H centrum eſt grauitatis magnitudinis ex vtriſ〈que〉
                <lb/>
              AB CD compoſitæ. </s>
              <s id="N14D4B">ergo AB, & CD ex diſtantijs HEHF
                <lb/>
              æ〈que〉ponderant. </s>
              <s id="N14D4F">& è contra. </s>
              <s id="N14D51">hoc eſt AB CD æ〈que〉ponde­
                <lb/>
              rant ex diſtantijs EH HF. ergo punctum H centrum eſt
                <lb/>
              grauitatis magnitudinis ex vtriſ〈que〉 AB CD compoſrtæ;
                <expan abbr="cũ">cum</expan>
                <lb/>
              ſit EHF recta linea. </s>
              <s id="N14D5D">Solent autem mathematici aliquando
                <lb/>
              eandem propoſitionem pluribusmedijs demonſtrare; idcirco
                <lb/>
              conſiderandum eſt, Archimedem in hac propoſitione alio v­
                <lb/>
              ti medio ad oſtendendum punctum H centrum eſie graui­
                <lb/>
              tatis, quo uſus eſt in ſexta propoſitione primi libri. </s>
              <s id="N14D67">cùm in pri
                <lb/>
              mo libro per diuiſionem magnitudinum, diuiſio nem què di
                <lb/>
              ſtantiarum vniuerſaliter domonſtret centrum grauitatis ma­
                <lb/>
              gnitudinum. </s>
              <s id="N14D6F">hoc autem loco per parallelogramma MN
                <lb/>
              NX parabolis æqualia, & circa centra grauitatis EF conſti­
                <lb/>
              tuta, in uenit centrum grauitatis magnitudinis ex vtriſ〈que〉 pa
                <lb/>
                <arrow.to.target n="marg206"/>
              rallelogrammis MN NX compoſitæ. </s>
              <s id="N14D7B">quod eſt
                <expan abbr="quidẽ">quidem</expan>
              pun­
                <lb/>
              ctum H. medium nempè totius parallelogrammi MP.
                <lb/>
              quod idem punctum H centrum eſt grauitatis vtriuſ〈que〉 pa
                <lb/>
              raboles AB CD in EF collocatæ. </s>
            </p>
            <p id="N14D87" type="margin">
              <s id="N14D89">
                <margin.target id="marg205"/>
              6.7.
                <emph type="italics"/>
              primi
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14D94" type="margin">
              <s id="N14D96">
                <margin.target id="marg206"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              9.
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              10
                <lb/>
                <emph type="italics"/>
              primihui
                <emph.end type="italics"/>
              ^{9}.</s>
            </p>
            <p id="N14DAC" type="main">
              <s id="N14DAE">Ex his obſeruandum occurrit, hanc eſſe peculiarem metho
                <lb/>
              dum, qua poſſumus quorumlibet planorum æ〈que〉pondera­
                <lb/>
              tionem oſtendere; hoc eſt plana ex diſtantijs eandem permu
                <lb/>
              tatim proportionem habentibus, vt eadem met plana, æ〈que〉­
                <lb/>
              ponderare; dum modo ipſis æqualia parallelogramma conſti
                <lb/>
              tuere poſſimus. </s>
              <s id="N14DBA">ac propterea ſupponit Archimedes, nos poſſe
                <lb/>
              applicare ad rectam lineam ſpacium æquale ſpacio recta li­
                <lb/>
              nea, rcctanguliquè coni ſectione contento. </s>
              <s id="N14DC0">quod
                <expan abbr="quidẽ">quidem</expan>
              ſpa­
                <lb/>
              cium ſupponit parallelogram mum exiſtere, cùm pun­
                <lb/>
              ctum E centrum ſit grauitatis ſpacij MN, eſt F
                <lb/>
              ſpacij NX. punctum verò H totius PM. quòd ſi MN
                <lb/>
              NX & MP non eſſent parallelogramma, ne〈que〉 puncta EFH
                <lb/>
              eorum centra grauitatis exiſterent. </s>
              <s id="N14DD0">vt ex demonſtranone pa­
                <lb/>
              tet. </s>
              <s id="N14DD4">ſuppoſuit tamen Archimedes nos poſſe applicare ad re­
                <lb/>
              ctam lineam parallelogrammum æquale ſpacio recta linea,
                <lb/>
              rectanguliquè coniſectione contento; quia duplici medio in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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