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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/072.jpg" pagenum="68"/>
            <p id="N12689" type="head">
              <s id="N1268B">PROPOSITIO. VII.</s>
            </p>
            <p id="N1268D" type="main">
              <s id="N1268F">Si autem magnitudines fuerint incommenſura
                <lb/>
              biles, ſimiliter æ〈que〉ponderabunt ex diſtantijs per
                <lb/>
              mutatim eandem, at〈que〉 magnitudines, propor­
                <lb/>
              tionem habentibus. </s>
            </p>
            <figure id="id.077.01.072.1.jpg" xlink:href="077/01/072/1.jpg" number="43"/>
            <p id="N1269A" type="main">
              <s id="N1269C">
                <emph type="italics"/>
              Sint incommenſurabiles magnitudines AB C. Distantiæ verò
                <lb/>
              DE EF. Habeat autem AB ad C proportionem eandem, quam di
                <lb/>
              stantia ED ad ipſam EF. Dico,
                <emph.end type="italics"/>
              ſi ponatur AB ad F, C ve­
                <lb/>
              rò ad D,
                <emph type="italics"/>
              magnitudinis ex vtriſ〈que〉 AB C compoſitæ centrum gra
                <lb/>
              uitatis eſſe punctum E. ſi enim non æ〈que〉ponderabit
                <emph.end type="italics"/>
              (ſi fieri poteſt)
                <lb/>
                <emph type="italics"/>
              AB poſita ad F ipſi C poſitæ ad D; velmaior est AB, quàm C, ita
                <lb/>
              vt
                <emph.end type="italics"/>
              AB ad F
                <emph type="italics"/>
              æ〈que〉ponderet ipſi C
                <emph.end type="italics"/>
              ad D;
                <emph type="italics"/>
              vel non. </s>
              <s id="N126C3">Sit maior
                <emph.end type="italics"/>
              ; ſitquè
                <lb/>
              exceſſus HL; ita vt KH ad F, & C ad D ę〈que〉ponderent.
                <lb/>
                <arrow.to.target n="marg60"/>
                <emph type="italics"/>
              auferaturquè ab ipſa AB
                <emph.end type="italics"/>
              magnitudo NL, quæ ſit
                <emph type="italics"/>
              minor exceſſu
                <emph.end type="italics"/>
                <lb/>
              HL,
                <emph type="italics"/>
              quo maior est
                <emph.end type="italics"/>
              tota
                <emph type="italics"/>
              AB, quàm C, ita vt æ〈que〉ponderent
                <emph.end type="italics"/>
              ; vt
                <expan abbr="dictũ">dictum</expan>
                <lb/>
              eſt.
                <emph type="italics"/>
              & ſit quidem reſiduum A,
                <emph.end type="italics"/>
              hoc eſt KN,
                <emph type="italics"/>
              commenſurabile ipſi C.
                <emph.end type="italics"/>
                <lb/>
              Et quoniam minor eſt kN quàm KM, minorem quo〈que〉 </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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