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="167" file="0205" n="205" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0205-01" xlink:href="fig-0205-01a" number="223">
                <image file="0205-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0205-01"/>
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            B C a, pariterque latus re
              <lb/>
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                <image file="0205-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0205-02"/>
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            ctum I F ad tranſuer ſum F
              <lb/>
              <note position="right" xlink:label="note-0205-01" xlink:href="note-0205-01a" xml:space="preserve">21. lib. 1.</note>
            b eſt vt quadratum E H ad
              <lb/>
            rectangulum F H b, igitur
              <lb/>
            D B ad B a eandem propor-
              <lb/>
            tionem habebit quàm I F ad
              <lb/>
            F b, & </s>
            <s xml:id="echoid-s6465" xml:space="preserve">ideo figuræ axium
              <lb/>
            ſimiles erunt.</s>
            <s xml:id="echoid-s6466" xml:space="preserve"/>
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        <div xml:id="echoid-div614" type="section" level="1" n="205">
          <head xml:id="echoid-head259" xml:space="preserve">Notæ in Propoſit. XIII.</head>
          <p>
            <s xml:id="echoid-s6467" xml:space="preserve">SInt axes earum B C, & </s>
            <s xml:id="echoid-s6468" xml:space="preserve">inclinatus, ſeu tranſuerſus B a, &</s>
            <s xml:id="echoid-s6469" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6470" xml:space="preserve">Addidi
              <lb/>
              <note position="left" xlink:label="note-0205-02" xlink:href="note-0205-02a" xml:space="preserve">a</note>
            verba, quæ in expoſitione propoſitionis deficiunt. </s>
            <s xml:id="echoid-s6471" xml:space="preserve">Hyperbole, ſeu ellipſis A
              <lb/>
            B ſit axis B C, & </s>
            <s xml:id="echoid-s6472" xml:space="preserve">inclinatus, ſeu tranſuerſus B a, & </s>
            <s xml:id="echoid-s6473" xml:space="preserve">E F ſit parabole, cuius
              <lb/>
            axis F H, &</s>
            <s xml:id="echoid-s6474" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6475" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6476" xml:space="preserve">Alioquin ſit (ſi poſſi-
              <lb/>
              <note position="left" xlink:label="note-0205-03" xlink:href="note-0205-03a" xml:space="preserve">b</note>
              <figure xlink:label="fig-0205-03" xlink:href="fig-0205-03a" number="225">
                <image file="0205-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0205-03"/>
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            bile eſt) ſimilis vni ea-
              <lb/>
            rum, & </s>
            <s xml:id="echoid-s6477" xml:space="preserve">minima ſimilis
              <lb/>
            earum figuræ, quæ non
              <lb/>
            ſunt ſimiles ſuis figuris:
              <lb/>
            </s>
            <s xml:id="echoid-s6478" xml:space="preserve">deinde poſſumus produ-
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            cere in ſingulis ſectioni-
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            bus potentes, &</s>
            <s xml:id="echoid-s6479" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6480" xml:space="preserve">Non
              <lb/>
            nulla verba ex hoc textu
              <lb/>
            expunxi vt ſuperuacanea
              <lb/>
            eiuſq; </s>
            <s xml:id="echoid-s6481" xml:space="preserve">ſenſus hic eſt. </s>
            <s xml:id="echoid-s6482" xml:space="preserve">Sie-
              <lb/>
            nim par abolæ E F ſimilis
              <lb/>
            eſt hyperbolæ, aut ellipſi A
              <lb/>
            B (ex definitione ſimilium
              <lb/>
              <note position="right" xlink:label="note-0205-04" xlink:href="note-0205-04a" xml:space="preserve">Defin. 2.</note>
            figurarum) duci poßunt
              <lb/>
            in vnaquaque duarum ſi-
              <lb/>
            milium ſectionum </s>
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