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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          <pb o="195" file="0233" n="233" rhead="Conicor. Lib. VI."/>
          <figure number="263">
            <image file="0233-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0233-01"/>
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        <div xml:id="echoid-div675" type="section" level="1" n="224">
          <head xml:id="echoid-head284" xml:space="preserve">PROPOSITIO XXI.</head>
          <p>
            <s xml:id="echoid-s7376" xml:space="preserve">SInt poſtea duæ illæ ſectiones hyperbolicæ, & </s>
            <s xml:id="echoid-s7377" xml:space="preserve">ellipticæ ſi-
              <lb/>
            miles, & </s>
            <s xml:id="echoid-s7378" xml:space="preserve">earum centra T, X (remanentibus lineis, & </s>
            <s xml:id="echoid-s7379" xml:space="preserve">ſi-
              <lb/>
            gnis, vt prius) & </s>
            <s xml:id="echoid-s7380" xml:space="preserve">ducantur duæ contingentes V e, & </s>
            <s xml:id="echoid-s7381" xml:space="preserve">Y f.</s>
            <s xml:id="echoid-s7382" xml:space="preserve"/>
          </p>
          <figure number="264">
            <image file="0233-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0233-02"/>
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          <p>
            <s xml:id="echoid-s7383" xml:space="preserve">Quoniam B G ad B I ſuppoſita eſt, vt H E ad E K, & </s>
            <s xml:id="echoid-s7384" xml:space="preserve">pariter G B ad
              <lb/>
              <note position="left" xlink:label="note-0233-01" xlink:href="note-0233-01a" xml:space="preserve">a</note>
            B L, vt H E ad E M; </s>
            <s xml:id="echoid-s7385" xml:space="preserve">ergo ex æqualitate, & </s>
            <s xml:id="echoid-s7386" xml:space="preserve">per conuerſionem rationis
              <lb/>
            B L ad L I eſt vt E M ad M K; </s>
            <s xml:id="echoid-s7387" xml:space="preserve">& </s>
            <s xml:id="echoid-s7388" xml:space="preserve">propter ſimilitudinem duarum ſectio-
              <lb/>
              <note position="left" xlink:label="note-0233-02" xlink:href="note-0233-02a" xml:space="preserve">b</note>
            num N L ad A I nempe L O ad O I eſt, vt M P ad D K, nempe M Q
              <lb/>
            ad Q K, & </s>
            <s xml:id="echoid-s7389" xml:space="preserve">antecedentes ad ſummas vel differentias terminorum, ſcilicet
              <lb/>
              <note position="right" xlink:label="note-0233-03" xlink:href="note-0233-03a" xml:space="preserve">Lem. 1.
                <lb/>
              lib. 5.</note>
            O L ad L I eandem proportionem habebit, quàm Q M ad M K, & </s>
            <s xml:id="echoid-s7390" xml:space="preserve">ex
              <lb/>
              <note position="left" xlink:label="note-0233-04" xlink:href="note-0233-04a" xml:space="preserve">c</note>
            æqualitate O L ad L B erit, vt Q M ad M E, ſed B L ad L N eſt, vt E
              <lb/>
            M ad M P, cum ex ſuppoſitione ſectiones ſint ſimiles; </s>
            <s xml:id="echoid-s7391" xml:space="preserve">ergo O L ad L N
              <lb/>
            eſt, vt Q M ad M P; </s>
            <s xml:id="echoid-s7392" xml:space="preserve">ſuntque L, M duo anguli recti: </s>
            <s xml:id="echoid-s7393" xml:space="preserve">ergo anguli O, </s>
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