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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12BC4" type="main">
              <s id="N12BEB">
                <pb xlink:href="077/01/083.jpg" pagenum="79"/>
              Ducantur à punctis MN ipſi AGE ęquidiſtantes QMR
                <lb/>
              SNT. erunt vti〈que〉 AQRG, & GSTE parallelogramma.
                <lb/>
              Quoniam igitur parallelogramma AK GF in æqualibus
                <lb/>
              ſuntbaſibus AG GE, & in ijſdem parallelis; erunt AK
                <arrow.to.target n="marg71"/>
                <lb/>
              inter ſe ęqualia. </s>
              <s id="N12C02">& quoniam AC GK EF ſunt
                <expan abbr="ęquidiſtãtes">ęquidiſtantes</expan>
              ;
                <lb/>
              erit angulus CAG ipſi KGE ęqualis, & KGA ipſi
                <arrow.to.target n="marg72"/>
                <lb/>
              æqualis; & horum oppoſiti inter ſe ſunt ęquales;
                <arrow.to.target n="marg73"/>
              paralle­
                <lb/>
              logrammum GF ipſi AK ęquale, & ſimile exiſtit. </s>
              <s id="N12C15">Ita〈que〉
                <lb/>
              ſi GF colloceturſuper AK, rectè congruet: eruntquè paral­
                <lb/>
              lelogramma inuicen coaptata. </s>
              <s id="N12C1B">lineęquè GE AG, GK AC, &
                <lb/>
              reliquæ coaptatæ erunt. </s>
              <s id="N12C1F">quare eorum centra
                <arrow.to.target n="marg74"/>
              inui­
                <lb/>
              cem coaptata erunt. </s>
              <s id="N12C27">hoc eſt N erit in puncto M. Quoniam
                <lb/>
              autem à punctis MN (quod nunc intelligitur vnum tantum
                <lb/>
              eſſe punctum) ductæ fuerunt ST QR ipſi AGE æquidi­
                <lb/>
              ſtantes, linea ST coaptabitur cum QR, quippe cùm ambæ
                <lb/>
              hæ lineæ ab vno puncto prodeuntes ipſi AG ęquidiſtantes
                <lb/>
              eſſe debeant. </s>
              <s id="N12C33">punctum igitur S in Q, & T in R coaptabi­
                <lb/>
              tur. </s>
              <s id="N12C37">eritquè QM ipſi SN ęqualis, & MR ipſi NT. ac pro
                <lb/>
              pterea linea GS parallelogrammi GT erit coaptata in
                <expan abbr="Aq;">A〈que〉</expan>
                <lb/>
              & ET coaptata erit in GR parallelogrammi AR. Vnde e­
                <lb/>
              rit AQ ęqualis GS, cùm ſint coaptatæ; & GR ipſi ET ę­
                <lb/>
              qualis; cùm ſint quo〈que〉 coaptatę. </s>
              <s id="N12C45">Quocirca
                <arrow.to.target n="marg75"/>
              pa­
                <lb/>
              rallelogramma AR GT ſunt inuicem coaptata, paral­
                <lb/>
              lelogrammorumquè oppoſita latera ſunt inter ſe ęqualia,
                <expan abbr="erũt">erunt</expan>
                <lb/>
              AQ GS GR ET inter ſe ęqualia. </s>
              <s id="N12C55">Nunc autem
                <expan abbr="intelligãtur">intelligantur</expan>
                <lb/>
              parallelogramma AK GF non ampliùs coaptata. </s>
              <s id="N12C5D">&
                <expan abbr="quoniã">quoniam</expan>
                <lb/>
              lineę QMR, & SNT ſuntipſi AGE parallelę; & AQ GR,
                <lb/>
              GS ET, inter ſe ſuntæquales, & ęquidiſtantes; puncta RS in
                <lb/>
              vnum coincident punctum. </s>
              <s id="N12C69">eritquè QST linea recta. </s>
              <s id="N12C6B">ex qui
                <lb/>
              bus patet, rectam
                <expan abbr="lineã">lineam</expan>
              , quæ coniungit centra grauitatis MN
                <lb/>
              ipſi AGE æquidiſtantem exiſtere. </s>
              <s id="N12C75">eodemquè modo oſtende­
                <lb/>
              tur rectas lineas, quæ coniungunt grauitatis centra NO, cen­
                <lb/>
              traquè OP, ipſi AB
                <expan abbr="æquidiſtãtes">æquidiſtantes</expan>
              eſſe. </s>
              <s id="N12C7F">Vnde ſequitur lineam
                <lb/>
              MNOP rectam eſſe. </s>
              <s id="N12C83">Quare primùm conſtat grauitatis
                <expan abbr="cẽtra">centra</expan>
                <lb/>
              in recta linea exiſtere. </s>
            </p>
            <p id="N12C8B" type="margin">
              <s id="N12C8D">
                <margin.target id="marg71"/>
              36.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12C96" type="margin">
              <s id="N12C98">
                <margin.target id="marg72"/>
              29.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12CA1" type="margin">
              <s id="N12CA3">
                <margin.target id="marg73"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12CAC" type="margin">
              <s id="N12CAE">
                <margin.target id="marg74"/>
              5.
                <emph type="italics"/>
              post, hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12CB9" type="margin">
              <s id="N12CBB">
                <margin.target id="marg75"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.083.1.jpg" xlink:href="077/01/083/1.jpg" number="48"/>
            <p id="N12CC8" type="main">
              <s id="N12CCA">Quoniam autem oſtenſum eſt QM æqualem eſſe ipſi SN,
                <lb/>
              & MR ipſi NT, eodem quo〈que〉 modo oſtendetur OT </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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