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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1562B" type="main">
              <s id="N15753">
                <pb xlink:href="077/01/153.jpg" pagenum="149"/>
              ſi ita〈que〉 diuidatur
                <foreign lang="grc">γε</foreign>
              in
                <foreign lang="grc">ν</foreign>
              , ita ut ſit
                <foreign lang="grc">εν</foreign>
              ad
                <foreign lang="grc">νγ</foreign>
              , vt
                <expan abbr="trapeziũ">trapezium</expan>
              AK
                <lb/>
              ad EI. erit punctum
                <foreign lang="grc">ν</foreign>
              centrum grauitatis figurę
                <arrow.to.target n="marg258"/>
                <lb/>
              ſimiliquè modo diuidatur
                <foreign lang="grc">δζ</foreign>
              in
                <foreign lang="grc"><10></foreign>
              , ita vt ſit
                <foreign lang="grc">ζ<10></foreign>
              ad
                <foreign lang="grc"><10>δ</foreign>
              , vt trape
                <lb/>
              zium XT ad SV; erit punctum
                <foreign lang="grc"><10></foreign>
              grauitatis centrum figuræ
                <lb/>
              XSYVTP. quia verò ita eſt AK ad EI, vt XT ad SV, erit
                <foreign lang="grc">εν</foreign>
                <lb/>
              ad
                <foreign lang="grc">νγ</foreign>
              , vt
                <foreign lang="grc">ζ<10></foreign>
              ad
                <foreign lang="grc"><10>δ</foreign>
              . Diuidatur
                <expan abbr="aũt">aunt</expan>
              deinceps
                <foreign lang="grc">λΗ</foreign>
              in
                <foreign lang="grc">σ</foreign>
              ,
                <expan abbr="ſitq́">ſit〈que〉</expan>
              ;
                <foreign lang="grc">λσ</foreign>
              ad
                <foreign lang="grc">σΗ</foreign>
              , vt
                <lb/>
              FH ad triangulum BGH, erit punctum
                <foreign lang="grc">σ</foreign>
              centrum grauitatis
                <lb/>
              figuræ FGBHI. eademquè ratione diuidatur
                <foreign lang="grc">μκ</foreign>
              in
                <foreign lang="grc">τ</foreign>
              , ſitquè
                <lb/>
                <foreign lang="grc">μτ</foreign>
              ad
                <foreign lang="grc">τκ</foreign>
              , vt YZ ad triangulum OQZ; erit punctum
                <foreign lang="grc">τ</foreign>
              cen­
                <lb/>
              trum grauitatis figuræ YQOZV. ſed eſt FH ad BGD, vt YZ
                <lb/>
              ad OQZ, erit igitur
                <foreign lang="grc">λσ</foreign>
              ad
                <foreign lang="grc">ση</foreign>
              , vt
                <foreign lang="grc">μτ</foreign>
              ad
                <foreign lang="grc">τκ</foreign>
              . Quoniam autem
                <lb/>
              ita eſt Ak ad EI, vt XT ad SV, erit componendo
                <arrow.to.target n="marg259"/>
                <lb/>
              ad EI, vt figura XSYVTP ad SV; & eſt EI ad FH, vt SV
                <arrow.to.target n="marg260"/>
                <lb/>
              YZ. ergo ex æquali figura AEFIKC erit ad FH, vt figura
                <lb/>
              XSYVTP ad YZ. eſt autem FH ad BGH, vt YZ ad OQZ. e­
                <lb/>
              ritigitur figura AEFIKC ad ſuas conſe〈que〉ntes, ad
                <arrow.to.target n="marg261"/>
                <lb/>
              ſcilicet FGBHI, vt figura XSYVTP ad ſuas conſe〈que〉ntes, hoc
                <lb/>
              eſt ad figuram YQOZV. Diuidatur ita〈que〉
                <foreign lang="grc">σν</foreign>
              in
                <foreign lang="grc">χ</foreign>
              , ita ut
                <foreign lang="grc">σχ</foreign>
                <lb/>
              ad
                <foreign lang="grc">χ</foreign>
              ſit, vt figura AEFIKC ad figuram FGBHI, erit
                <arrow.to.target n="marg262"/>
                <lb/>
                <foreign lang="grc">χ</foreign>
                <expan abbr="centrũ">centrum</expan>
              grauitatis totius figurę AEFGBHIKC. ſimiliter di­
                <lb/>
              uidatur
                <foreign lang="grc">τ<10></foreign>
              in
                <foreign lang="grc">ξ</foreign>
              , ſit〈que〉
                <foreign lang="grc">τξ</foreign>
              ad
                <foreign lang="grc">ξ<10></foreign>
              , ut figura XSYVTP ad figu­
                <lb/>
              ram YQOZV, erit punctum
                <foreign lang="grc">ξ</foreign>
              centrum grauitatis totius fi­
                <lb/>
              guræ XSYQOZVTP. quia verò ita eſt figura AEFIKC ad fi
                <lb/>
              guram FGBHI, vt figura XSYVTP ad figuram YQOZV. e­
                <lb/>
              rit
                <foreign lang="grc">σχ</foreign>
              ad
                <foreign lang="grc">χν</foreign>
              , vt
                <foreign lang="grc">τξ</foreign>
              ad
                <foreign lang="grc">ξ<10></foreign>
              . Ita〈que〉 quoniam BD ad DL eſt, vt
                <foreign lang="grc">σν</foreign>
                <lb/>
              ad R9, cùm ſin^{4} utſexdecim ad ſeptem. </s>
              <s id="N159D8">& eſt L
                <foreign lang="grc">γ</foreign>
              ad
                <foreign lang="grc">γ</foreign>
              D, vt 9
                <foreign lang="grc">δ</foreign>
                <lb/>
              ad
                <foreign lang="grc">δ</foreign>
              R, erit BD ad L
                <foreign lang="grc">γ</foreign>
              , vt
                <foreign lang="grc">σν</foreign>
              ad 9
                <foreign lang="grc">δ</foreign>
              . & vt BD ad
                <foreign lang="grc">γ</foreign>
              D, ita OR
                <arrow.to.target n="marg263"/>
                <lb/>
                <foreign lang="grc">δ</foreign>
              R. rurſus quoniam BD ad LM eſt, vt OR ad 9
                <foreign lang="grc">α</foreign>
              , nempe vt ſex
                <lb/>
              decim ad quin〈que〉; & eſt L
                <foreign lang="grc">ε</foreign>
              ad
                <foreign lang="grc">ε</foreign>
              M, ut 9
                <foreign lang="grc">ζ</foreign>
              ad
                <foreign lang="grc">ζα</foreign>
              , erit BD ad
                <foreign lang="grc">ε</foreign>
              L,
                <lb/>
              vt OR ad 9
                <foreign lang="grc">ζ</foreign>
              . eſt verò BD ad L
                <foreign lang="grc">γ</foreign>
              , vt OR ad 9
                <foreign lang="grc">δ</foreign>
              ; erit igitur BD ad
                <lb/>
              vtram 〈que〉 ſimul
                <foreign lang="grc">ε</foreign>
              L L
                <foreign lang="grc">γ</foreign>
              , hoc eſt ad
                <foreign lang="grc">εγ</foreign>
              , vt OR ad
                <foreign lang="grc">ζδ</foreign>
              . ſed
                <expan abbr="quoniã">quoniam</expan>
                <arrow.to.target n="marg264"/>
                <lb/>
              eſt
                <foreign lang="grc">γν</foreign>
              ad
                <foreign lang="grc">νε</foreign>
              , vt
                <foreign lang="grc">δ<10></foreign>
              ad
                <foreign lang="grc"><10>ζ</foreign>
              , erit BD ad
                <foreign lang="grc">γν</foreign>
              , vt OR ad
                <foreign lang="grc">δ<10></foreign>
              . eſt
                <expan abbr="autẽ">autem</expan>
              BD
                <lb/>
              ad D
                <foreign lang="grc">γ</foreign>
              , vt OR ad R
                <foreign lang="grc">δ</foreign>
              , vt dictum eſt, ergo BD ad D
                <foreign lang="grc">ν</foreign>
              eſt, vt OR
                <lb/>
              ad R
                <foreign lang="grc"><10></foreign>
              . ſimiliterquè
                <expan abbr="oſtẽdetur">oſtendetur</expan>
              BD ad BA ita eſſe, vt OR ad O
                <foreign lang="grc">τ</foreign>
              .
                <lb/>
              Cùm ita〈que〉 ſit BD ad DR, & ad B
                <foreign lang="grc">σ</foreign>
              , ut OR ad R
                <foreign lang="grc"><10></foreign>
              , & ad O
                <foreign lang="grc">τ</foreign>
              ; e­
                <lb/>
              rit BD ad DR B
                <foreign lang="grc">σ</foreign>
              ſimul, vt OR ad R
                <foreign lang="grc"><10></foreign>
              O
                <foreign lang="grc">τ</foreign>
              ſimul, & permutan­
                <lb/>
              do tota BD ad totam OR, vt ablata D
                <foreign lang="grc">ν</foreign>
              B
                <foreign lang="grc">σ</foreign>
              ad ablatam R
                <foreign lang="grc"><10>οτ</foreign>
              . </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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