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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1215A" type="main">
              <s id="N12383">
                <pb xlink:href="077/01/068.jpg" pagenum="64"/>
                <emph type="italics"/>
              æqualiter diſtantia;
                <emph.end type="italics"/>
              ſiquidem oſtenſum eſt ST TV VX inter­
                <lb/>
              ſe æquales eſſe. </s>
              <s id="N123EE">Eodemquè modo oſtendetur XZ ZM cæteris
                <lb/>
              æquales eſſe.
                <emph type="italics"/>
              & ſunt
                <emph.end type="italics"/>
              magnitudines STVXZM
                <emph type="italics"/>
              numero pares,
                <emph.end type="italics"/>
                <lb/>
              cùm ſectiones totius LK, ( in quibus inſunt) ipſi N æquales
                <lb/>
              ſint inter ſe ęquales, & numero pares. </s>
              <s id="N12401">cùm oſtenſum ſit ſectio
                <lb/>
                <arrow.to.target n="marg51"/>
              nes in LG, & in Gk exiſtentes numero pares eſſe.
                <emph type="italics"/>
              conſtat magni­
                <lb/>
              tudinis ex omnibus
                <emph.end type="italics"/>
              STVXZM magnitudinibus
                <emph type="italics"/>
              compoſitæ centrum
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg52"/>
                <emph type="italics"/>
              grauitatis eſſe medietatem restæ lineæ, in qua centra grauitatis magnitu
                <lb/>
              dinum habentur. </s>
              <s id="N12421">Ita〈que〉 cùm LE ſit æqualis C D, EC verò ipſi D
                <emph.end type="italics"/>
              k,
                <lb/>
                <emph type="italics"/>
              tota LC æqualis erit CK.
                <emph.end type="italics"/>
              cùm autem ſint LHDK æquales; ſi­
                <lb/>
              quidem ſunt eidem N æquales, & harum medietates, hoc eſt
                <lb/>
              LS ipſi MK ęqualis erit. </s>
              <s id="N12431">& ob id SC ipſi CM eſt æqualis.
                <lb/>
              at verò linea SM magnitudinum centra grauitatis
                <expan abbr="coniũgit">coniungit</expan>
              ,
                <lb/>
                <emph type="italics"/>
              ergo magnitudinis ex omnibus
                <emph.end type="italics"/>
              STVXZM magnitudinibus
                <emph type="italics"/>
              compoſi
                <lb/>
              tæcentrum grauitatis est punctum C. Quare
                <emph.end type="italics"/>
              loco magnitudinum
                <lb/>
              STVX,
                <emph type="italics"/>
              poſito
                <emph.end type="italics"/>
              centro grauitatis
                <emph type="italics"/>
              A ad E, B verò
                <emph.end type="italics"/>
              loco ipſarum
                <lb/>
              ZM poſito
                <emph type="italics"/>
              ad D,
                <emph.end type="italics"/>
              erit punctum C grauitatis centrum ma­
                <lb/>
              gnitudinis ex vtriſ〈que〉 magnitudinibus AB compoſitæ. </s>
              <s id="N12460">ac
                <lb/>
              prop terea
                <emph type="italics"/>
              ex puncto C æ〈que〉ponderabunt.
                <emph.end type="italics"/>
              ergo magnitudines AB
                <lb/>
              ex diſtantijs DC CE, quę permutatim eandem habent pro.
                <lb/>
              portionem, vt grauitates, ę〈que〉ponderant. </s>
              <s id="N1246E">quod demonſtrare
                <lb/>
              oportebat. </s>
            </p>
            <p id="N12472" type="margin">
              <s id="N12474">
                <margin.target id="marg45"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              3
                <emph type="italics"/>
              de­
                <lb/>
              cimi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12484" type="margin">
              <s id="N12486">
                <margin.target id="marg46"/>
              11
                <emph type="italics"/>
              quinti.
                <lb/>
              cor.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              quin
                <lb/>
              ti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12499" type="margin">
              <s id="N1249B">
                <margin.target id="marg47"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N124A4" type="margin">
              <s id="N124A6">
                <margin.target id="marg48"/>
                <emph type="italics"/>
              iemme.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N124AE" type="margin">
              <s id="N124B0">
                <margin.target id="marg49"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N124BE" type="margin">
              <s id="N124C0">
                <margin.target id="marg50"/>
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N124C8" type="margin">
              <s id="N124CA">
                <margin.target id="marg51"/>
              2.
                <emph type="italics"/>
              cor. </s>
              <s id="N124D1">quin
                <lb/>
              tæ huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N124D7" type="margin">
              <s id="N124D9">
                <margin.target id="marg52"/>
              *</s>
            </p>
            <figure id="id.077.01.068.1.jpg" xlink:href="077/01/068/1.jpg" number="39"/>
            <figure id="id.077.01.068.2.jpg" xlink:href="077/01/068/2.jpg" number="40"/>
            <p id="N124E5" type="head">
              <s id="N124E7">SCHOLIVM.</s>
            </p>
            <p id="N124E9" type="main">
              <s id="N124EB">
                <arrow.to.target n="marg53"/>
              Circa finem Gręcus codex habet,
                <foreign lang="grc">τα κέντ<10>α τῶν μέσων μεγεθῶν</foreign>
              ,
                <lb/>
              quaſi dicat, centrum grauitatis magnitudinis ex omnibus
                <lb/>
              magnitudinibus STVXZM compoſitę medietatem eſſe rectę
                <lb/>
              lineę VX, quę centra mediarum magnitudinum VX coniun
                <lb/>
              git; quòd cùm ſint omnes magnitudines numero pares;
                <expan abbr="itidẽ">itidem</expan>
                <lb/>
              eſſet punctum C, & quamuis hoc ſit verum, non tamen ad hoc
                <lb/>
              reſpexit Archimedes duabus de cauſis.
                <expan abbr="Nãin">Nanin</expan>
              ſecudo corollario
                <lb/>
              pręcedentis oſtendit centrum grauitatis omnium magnitu­
                <lb/>
              dinum eſſe medietatem rectę lineę, quę grauitatis centra om­
                <lb/>
              nia coniungit. </s>
              <s id="N1250F">Deinde concludere volens punctum C
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              eſſe grauitatis omnium magnitudinum, ſtatim inquit hoc ſe
                <lb/>
              qui, quia LC eſt ipſi CK ęqualis, quę ſunt medietates totius </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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