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

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    <archimedes>
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          <chap id="N10019">
            <p id="N17843" type="main">
              <s id="N1794E">
                <pb xlink:href="077/01/201.jpg" pagenum="197"/>
              hoc eſt, dupla ipſius AF ad DG, vt dupla ipſius NO ad
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              NT, & componendo, dupla ipſius AF cum DG
                <arrow.to.target n="marg391"/>
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              DG, vt dupla ipſius NO cum NT ad NT. & conuer­
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              tendo DG ad duplam ipſius AF cum DG, vt NT
                <arrow.to.target n="marg392"/>
              du­
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              plam ipſius NO cum NT.
                <emph type="italics"/>
              Quare & vt
                <emph.end type="italics"/>
              ſe habet cubus ex
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              DG ad ſolidum baſim habens quadratum ex DG, altitu­
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              dinem verò compoſitam ex dupla ipſius AF cum DG, ita
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              eſt
                <emph type="italics"/>
              TN ad compoſitam ex dupla ipſius ON, & linea TN.
                <emph.end type="italics"/>
              Ita­
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              〈que〉 ex ijs, quæ dicta ſunt, ita ſe habet ſolidum baſim ha­
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              bens quadratum ex AF, altitudinem verò lineam com­
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              poſitam ex dupla ipſius DG, & linea AF ad cubum
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              ex AF, vt dupla ipſius NX cum NM ad MN,
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              cubus verò ex AF ad cubum ex DG eſt, vt MN ad
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              NT; ita deinde ſe habetcubus ex DG ad ſolidum ba­
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              ſim habens quadratum ex DG, altitudinem verò lineam
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              compoſitam ex dupla ipſius AF, & ipſa DG, vt
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              NT ad compoſitam ex dupla ipſius NO, & ipſa NT.
                <lb/>
                <emph type="italics"/>
              Sunt igitur quatuor magnitudines ſolidum baſim habens quadratum
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              ex AF, altitudinem verò lineam compoſitam ex dupla ipſius
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              DG, & linea AF, & cubus ex AF, & cubus ex
                <lb/>
              DG, & ſolidum baſim habens quadratum ex DG, altitu
                <lb/>
              dinem verò lineam compoſitam: ex dupla ipſius AF, & ipſa
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              DG, quatuor magnitudinibus proportionales, duabus ſimul ſumptis
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              tineæ compoſitæ ex dupla ipſius NX
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              & ipſa NM; & alte­
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              ri magnitudini MN; aliiquè deinceps NT, ac tandem lineæ
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              compoſitæ ex duplaipſius NO, & ipſa NT. ex æquali igitur
                <lb/>
              erit, vt ſolidum baſim habens quadratum ex AF, altitudinem
                <emph.end type="italics"/>
                <arrow.to.target n="marg393"/>
                <lb/>
                <emph type="italics"/>
              autem lineam compoſitam ex dupla ipſius DG, & ipſa AE, ad
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              ſolidum baſim habens quadratum ex DG, altitudinem verò lt­
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              neam compoſitam ex dupla ipſius AF, & ipſa DG, ita
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              compoſita ex dupla ipſius NX, & ipſa MN ad compoſitam
                <lb/>
              ex dupla ipſius NO, & ipſa NT ſed vt præfatum ſoii­
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              dum
                <emph.end type="italics"/>
              baſim habens quadratum ex AF, altitudinem verò
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              lineam compoſitam ex dupla ipſius DG, & ipſa AF
                <emph type="italics"/>
              ad
                <lb/>
              dictum ſolidum
                <emph.end type="italics"/>
              baſim habens quadratum ex DG, altitudi­
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              nem verò compoſitam ex dupla ipſius AF & ipſa
                <arrow.to.target n="marg394"/>
                <lb/>
                <emph type="italics"/>
              ita
                <emph.end type="italics"/>
              factum fuit
                <emph type="italics"/>
              HI ad IK. vt igitur HI ad IK, ſu
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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