Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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        <div xml:id="echoid-div641" type="section" level="1" n="213">
          <p>
            <s xml:id="echoid-s6904" xml:space="preserve">
              <pb o="181" file="0219" n="219" rhead="Conicor. Lib. VI."/>
            quadratũ O C,
              <lb/>
              <figure xlink:label="fig-0219-01" xlink:href="fig-0219-01a" number="244">
                <image file="0219-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0219-01"/>
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            nempe X O ad
              <lb/>
            O C; </s>
            <s xml:id="echoid-s6905" xml:space="preserve">quare di-
              <lb/>
            uidendo, vel cõ-
              <lb/>
            ponendo, & </s>
            <s xml:id="echoid-s6906" xml:space="preserve">ex
              <lb/>
            æqualitate A M
              <lb/>
            ad A E eſt vt C
              <lb/>
            O ad C F: </s>
            <s xml:id="echoid-s6907" xml:space="preserve">& </s>
            <s xml:id="echoid-s6908" xml:space="preserve">iã
              <lb/>
            oſtenſũ eſt, quod
              <lb/>
            duo anguli F,
              <lb/>
            & </s>
            <s xml:id="echoid-s6909" xml:space="preserve">E ſunt æqua-
              <lb/>
            les. </s>
            <s xml:id="echoid-s6910" xml:space="preserve">Quare pa-
              <lb/>
            tet propoſitum.</s>
            <s xml:id="echoid-s6911" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div645" type="section" level="1" n="214">
          <head xml:id="echoid-head271" xml:space="preserve">Notæ in Propoſit. XV.</head>
          <p>
            <s xml:id="echoid-s6912" xml:space="preserve">SI figuræ diametrorum hyperbolarum, aut ellipſium fuerint ſimiles diſ-
              <lb/>
              <note position="left" xlink:label="note-0219-01" xlink:href="note-0219-01a" xml:space="preserve">a</note>
            ſimilium axium, & </s>
            <s xml:id="echoid-s6913" xml:space="preserve">potentes illarum diametrorum contineant ſimul
              <lb/>
            angulos rectos, vtique ſectiones ſimiles ſunt, &</s>
            <s xml:id="echoid-s6914" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6915" xml:space="preserve">Textus mendoſus huius
              <lb/>
            propoſitionis ex ſubſequenti expoſitione, & </s>
            <s xml:id="echoid-s6916" xml:space="preserve">demonſtratione corrigi debuit.</s>
            <s xml:id="echoid-s6917" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6918" xml:space="preserve">Et G I in I N æquale ipſi T I in I B ad quadratum I B potentis eſt, vt
              <lb/>
              <note position="left" xlink:label="note-0219-02" xlink:href="note-0219-02a" xml:space="preserve">b</note>
            H L in L O æquale ipſi V L in L D ad quadratum L D; </s>
            <s xml:id="echoid-s6919" xml:space="preserve">quia, &</s>
            <s xml:id="echoid-s6920" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6921" xml:space="preserve">Quo-
              <lb/>
            niam à puncto B ſectionis A B ad diametrum K A I ducuntur ordinatim appli-
              <lb/>
            cata B I, & </s>
            <s xml:id="echoid-s6922" xml:space="preserve">B N contingens ſectionem in B ſecantes diametrum in I, & </s>
            <s xml:id="echoid-s6923" xml:space="preserve">N;
              <lb/>
            </s>
            <s xml:id="echoid-s6924" xml:space="preserve">igitur rectangulum G I N ad quadratum ordinatim applicatæ I B eandem pro-
              <lb/>
              <note position="right" xlink:label="note-0219-03" xlink:href="note-0219-03a" xml:space="preserve">37. lib. I.</note>
              <figure xlink:label="fig-0219-02" xlink:href="fig-0219-02a" number="245">
                <image file="0219-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0219-02"/>
              </figure>
            </s>
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