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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1326B" type="main">
              <s id="N1329C">
                <pb xlink:href="077/01/094.jpg" pagenum="90"/>
                <emph type="italics"/>
              ra sut proportionalia. </s>
              <s id="N132D4">erit
                <lb/>
              igitur angul^{9} AGB angulo
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="fig37"/>
                <lb/>
                <emph type="italics"/>
              DME aqualis, et
                <emph.end type="italics"/>
              ABG ip
                <lb/>
              ſi DEM æqualis quare
                <lb/>
                <emph type="italics"/>
              vt AG ad DM, ita eſt BG
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg95"/>
                <emph type="italics"/>
              ad EM,
                <emph.end type="italics"/>
              & vt AB ad DE,
                <lb/>
              ita BG ad EM; & pmu­
                <lb/>
              tado AB ad BG, vt DE
                <lb/>
              ad EM.
                <emph type="italics"/>
              eſt autem BG ad
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg96"/>
                <emph type="italics"/>
              BH, vt ME ad EN, erit igitur ex æquali
                <emph.end type="italics"/>
              AB ad BH, vt DE ad EN.
                <lb/>
                <arrow.to.target n="marg97"/>
              rurſuſquè permutando
                <emph type="italics"/>
              AB ad DE, vt BH ad EN.
                <emph.end type="italics"/>
                <expan abbr="quoniã">quoniam</expan>
                <lb/>
                <arrow.to.target n="marg98"/>
              autem anguli ABH DEN, quos ipſæ lineę continent, ſunt
                <lb/>
              æquales, erit triangulun. </s>
              <s id="N13329">ABH triangulo DEN ſimile. </s>
              <s id="N1332B">qua
                <lb/>
              re anguli ſunt inter ſe æquales,
                <emph type="italics"/>
              & circa a quales angulos latera ſunt
                <lb/>
              proportionalia ſi autem hoc, angulus BAH angulo EDN est æqualis.
                <lb/>
              Vnde & reliquus angulus HAC angulo NDF æquolis exiſtit.
                <emph.end type="italics"/>
                <gap/>
              qui­
                <lb/>
              dem totius BAC ipſi EDF eſt æqualis.
                <emph type="italics"/>
              Eademquè ratione an-
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg99"/>
                <emph type="italics"/>
              gulus BCH ipſi EFN est æqualis. </s>
              <s id="N1334B">& angulas HCG angulo NFM
                <lb/>
              æqualis, oſtenſum est autem angulum ABH ipſi DEM aqualem eſſe.
                <emph.end type="italics"/>
                <lb/>
              ob ſimilitudinem autem riangulorum ABC DEF totus an
                <lb/>
                <arrow.to.target n="marg100"/>
              gulus ABC eſtipſi DEF ę ualis:
                <emph type="italics"/>
              ergo & reliquus angulus HBC
                <lb/>
              ipſi NEF æqualis exiſtit. </s>
              <s id="N1335E">Porrò ex his omnibus patet puncta HN ad
                <lb/>
              homologa latera eſſe ſimiliter poſita, &
                <emph.end type="italics"/>
              cum ipſis
                <emph type="italics"/>
              angulas æquales effi­
                <lb/>
              cere. </s>
              <s id="N1336A">Cùm igitur puncta HN ſint ſimiliter poſita; & punctum H cen­
                <lb/>
              trum eſt grauitatis trianguli ABC, & puncium N trianguli DEF
                <expan abbr="cẽ-trum">cen­
                  <lb/>
                trum</expan>
              grauitatis existet.
                <emph.end type="italics"/>
              exiſtente igitur centro grauitatis H in li
                <lb/>
              nea BG ab angulo ad dimidiam baſim ducta. </s>
              <s id="N13379">& alterum gra
                <lb/>
              uitatis centrum N in linea EM ſimiliter ducta reperitur.
                <lb/>
              quod demonſtrare oportebat. </s>
            </p>
            <p id="N1337F" type="margin">
              <s id="N13381">
                <margin.target id="marg93"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1338A" type="margin">
              <s id="N1338C">
                <margin.target id="marg94"/>
              6.
                <emph type="italics"/>
              ſeati.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13395" type="margin">
              <s id="N13397">
                <margin.target id="marg95"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N133A0" type="margin">
              <s id="N133A2">
                <margin.target id="marg96"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N133AB" type="margin">
              <s id="N133AD">
                <margin.target id="marg97"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N133B6" type="margin">
              <s id="N133B8">
                <margin.target id="marg98"/>
              6.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N133C1" type="margin">
              <s id="N133C3">
                <margin.target id="marg99"/>
              7.
                <emph type="italics"/>
              post hu
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N133CE" type="margin">
              <s id="N133D0">
                <margin.target id="marg100"/>
              11.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.094.1.jpg" xlink:href="077/01/094/1.jpg" number="55"/>
            <p id="N133DD" type="head">
              <s id="N133DF">SCHOLIVM.</s>
            </p>
            <p id="N133E1" type="main">
              <s id="N133E3">In ſe〈que〉nti Archimedes oſtendet, in qua linea reperitur
                <expan abbr="cẽ">cem</expan>
                <lb/>
              trum grauitatis cuiuſlibet trianguli. </s>
              <s id="N133EB">quod quidem duobus aſ­
                <lb/>
              ſequitur medijs. </s>
              <s id="N133EF">Diligenter autem omnia ſunt conſideranda;
                <lb/>
              quoniam in hoc conſiſtit tota perſcrutatio centri grauitatis
                <lb/>
              triangulorum. </s>
              <s id="N133F5">Quapropter vt prior demonſtratio appareat
                <lb/>
              perſpicua, hęc antea demonſtrabimus. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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