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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/095.jpg" pagenum="91"/>
            <p id="N133FC" type="main">
              <s id="N133FE">LEMMA. I. </s>
            </p>
            <p id="N13400" type="main">
              <s id="N13402">Æquidiſtantes lineæ lineas in eadem proportione diſpe­
                <lb/>
              ſcunt. </s>
            </p>
            <p id="N13406" type="main">
              <s id="N13408">Sintlineę AB CD, quas ſecent æqui­
                <lb/>
                <arrow.to.target n="fig38"/>
                <lb/>
              diſtantes lineæ AC EF BD. Dico ita eſ­
                <lb/>
              ſe BE ad EA, vt DF ad FC. primùm
                <lb/>
              quidem AB CD vel ſunt
                <arrow.to.target n="marg101"/>
                <lb/>
              vel minùs. </s>
              <s id="N1341A">ſi ſunt æquidiſtantes, iam habe
                <lb/>
              tur intentum. </s>
              <s id="N1341E">Nam BE erit æqualis DF,
                <lb/>
              & EA ipſi FC. vnde ſequitur ita eſſe BE
                <lb/>
                <arrow.to.target n="fig39"/>
                <lb/>
              ad EA, vt DF ad FC. </s>
            </p>
            <p id="N13429" type="margin">
              <s id="N1342B">
                <margin.target id="marg101"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.095.1.jpg" xlink:href="077/01/095/1.jpg" number="56"/>
            <figure id="id.077.01.095.2.jpg" xlink:href="077/01/095/2.jpg" number="57"/>
            <p id="N1343C" type="main">
              <s id="N1343E">Si verò AB CD non fuerint æquidi­
                <lb/>
              ſtantes, concurrant in G, vt in ſecunda fi­
                <lb/>
                <arrow.to.target n="fig40"/>
                <lb/>
              gura, & quoniam BD EF
                <arrow.to.target n="marg102"/>
              æquidi­
                <lb/>
              ſtantes, erit GB ad BE, vt GD ad
                <arrow.to.target n="marg103"/>
                <lb/>
              &
                <expan abbr="cõponendo">componendo</expan>
              GE ad EB, vt GF ad
                <arrow.to.target n="marg104"/>
                <lb/>
              conuertendoquè BE ad EG, vt DF ad
                <lb/>
              FG, rurſus quoniam EF AC ſunt æquidi
                <lb/>
              ſtantes; erit GE ad EA, vt GF ad FC, e­
                <lb/>
              ritigitur ex æquali BE ad EA, vt DF ad FC. </s>
            </p>
            <p id="N13463" type="margin">
              <s id="N13465">
                <margin.target id="marg102"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1346E" type="margin">
              <s id="N13470">
                <margin.target id="marg103"/>
              18.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13479" type="margin">
              <s id="N1347B">
                <margin.target id="marg104"/>
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
                <expan abbr="quĩti">quinti</expan>
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.095.3.jpg" xlink:href="077/01/095/3.jpg" number="58"/>
            <p id="N1348F" type="main">
              <s id="N13491">Secent verò ſeſe lineæ AB CD, vt in tertia figura,
                <arrow.to.target n="marg105"/>
              ſimi­
                <lb/>
              litudinem triangulorum BGD EGF, it a erit BG ad GE,
                <arrow.to.target n="marg106"/>
                <lb/>
              DG ad GF. & componendo BE ad EG, vt DF ad FG.
                <arrow.to.target n="marg107"/>
                <lb/>
              verò GE ad EA, vt GF ad FC. ergo ex æquali BE ad EA
                <lb/>
              erit, vt DF ad FC. quod demonſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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