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-div576" type="section" level="1" n="188">
          <head xml:id="echoid-head242" xml:space="preserve">Notæ in Propoſit. V.</head>
          <p>
            <s xml:id="echoid-s6053" xml:space="preserve">ATque B C D congruit B A D, & </s>
            <s xml:id="echoid-s6054" xml:space="preserve">ſuperficies ſuperficiei, &</s>
            <s xml:id="echoid-s6055" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6056" xml:space="preserve">Quo-
              <lb/>
              <note position="right" xlink:label="note-0192-01" xlink:href="note-0192-01a" xml:space="preserve">a</note>
            niam in ſecunda figura B D eſt axis ellipſis per centrum E ductus; </s>
            <s xml:id="echoid-s6057" xml:space="preserve">ergò
              <lb/>
            vt in prima parte huius propoſitionis dictum eſt, ſibi mutuò congruent ſemielli-
              <lb/>
            pſes B C D, & </s>
            <s xml:id="echoid-s6058" xml:space="preserve">B A D.</s>
            <s xml:id="echoid-s6059" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div578" type="section" level="1" n="189">
          <head xml:id="echoid-head243" xml:space="preserve">Notæ in Propoſit. VIII.</head>
          <p>
            <s xml:id="echoid-s6060" xml:space="preserve">NAm demonſtrauimus, &</s>
            <s xml:id="echoid-s6061" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6062" xml:space="preserve">Expoſitio huius
              <lb/>
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                <image file="0192-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0192-01"/>
              </figure>
              <note position="right" xlink:label="note-0192-02" xlink:href="note-0192-02a" xml:space="preserve">a</note>
            propoſitionis hæc erit. </s>
            <s xml:id="echoid-s6063" xml:space="preserve">Sit ellipſis A B C D,
              <lb/>
            cuius axes C A, & </s>
            <s xml:id="echoid-s6064" xml:space="preserve">B D, & </s>
            <s xml:id="echoid-s6065" xml:space="preserve">in quolibet eius qua-
              <lb/>
            drante ſignentur tales circumferentiæ N G, O L, H
              <lb/>
            Q, M P, vt coniunctæ rectæ lineæ O N, G L, H
              <lb/>
            M, Q P ſint ad axim A C ordinatim applicatæ ſe-
              <lb/>
            cantes eum in R, I, K, S; </s>
            <s xml:id="echoid-s6066" xml:space="preserve">ſintque binarum extre-
              <lb/>
            marum N O, P Q à centro E diſtantiæ æquales E R,
              <lb/>
            E S, & </s>
            <s xml:id="echoid-s6067" xml:space="preserve">binarum intermediarum L G, H M æquales à
              <lb/>
            centro diſtantiæ E I, E K oſtendendum eſt ſegmenta
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            G N, L O, H Q, M P æqualia eße.</s>
            <s xml:id="echoid-s6068" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6069" xml:space="preserve">Et inſuper dico, quod quodlibet horum ſeg-
              <lb/>
              <note position="right" xlink:label="note-0192-03" xlink:href="note-0192-03a" xml:space="preserve">b</note>
            mentorum non congruet alicui alio ſegmento,
              <lb/>
            &</s>
            <s xml:id="echoid-s6070" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6071" xml:space="preserve">Si enim in eodem, vel in duabus ellipſis qua-
              <lb/>
            drantibus ſumantur ſegmenta G N, & </s>
            <s xml:id="echoid-s6072" xml:space="preserve">M P non æque ab axis vertice B vel à
              <lb/>
            verticibus A, C eiuſdem axis remota, non erunt congruentia, vt deducitur ex
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s6073" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6074" xml:space="preserve">additarum huius.</s>
            <s xml:id="echoid-s6075" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div581" type="section" level="1" n="190">
          <head xml:id="echoid-head244" xml:space="preserve">SECTIO QVARTA
            <lb/>
          Continens Propoſit. XI. XII. XIII. & XIV.
            <lb/>
          PROPOSITIO XI.</head>
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            <s xml:id="echoid-s6076" xml:space="preserve">QVælibet ſectio parabolica, vt A B, cuius axis B C, & </s>
            <s xml:id="echoid-s6077" xml:space="preserve">ere-
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            ctum B D ſimilis eſt cuilibet ſectioni parabolicæ, vt E F,
              <lb/>
            cuius axis F H, & </s>
            <s xml:id="echoid-s6078" xml:space="preserve">erectum F I.</s>
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