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-div708" type="section" level="1" n="233">
          <pb o="208" file="0246" n="246" rhead="Apollonij Pergæi"/>
          <p>
            <s xml:id="echoid-s7790" xml:space="preserve">Efficiant duo plana parallela D
              <lb/>
              <note position="right" xlink:label="note-0246-01" xlink:href="note-0246-01a" xml:space="preserve">b</note>
              <figure xlink:label="fig-0246-01" xlink:href="fig-0246-01a" number="282">
                <image file="0246-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0246-01"/>
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            E N F, G H P I in baſim coni A C
              <lb/>
            duas rectas lineas D F, G I, & </s>
            <s xml:id="echoid-s7791" xml:space="preserve">pla-
              <lb/>
            num per axim coniductum efficiat
              <lb/>
            triangulum A B C perpendiculare
              <lb/>
            ad duo illa plana parallela; </s>
            <s xml:id="echoid-s7792" xml:space="preserve">quæ ab
              <lb/>
            illo ſecentur in E K, H L. </s>
            <s xml:id="echoid-s7793" xml:space="preserve">Erunt
              <lb/>
            D F, I G perpendiculares ad A C,
              <lb/>
            & </s>
            <s xml:id="echoid-s7794" xml:space="preserve">educamus B M parallelam ipſis
              <lb/>
            E K, H L; </s>
            <s xml:id="echoid-s7795" xml:space="preserve">& </s>
            <s xml:id="echoid-s7796" xml:space="preserve">vt quadratum B M ad
              <lb/>
            A M in M C; </s>
            <s xml:id="echoid-s7797" xml:space="preserve">ita ponatur N E ad
              <lb/>
            E O, & </s>
            <s xml:id="echoid-s7798" xml:space="preserve">ita P H ſiat ad H Q, erunt
              <lb/>
              <note position="left" xlink:label="note-0246-02" xlink:href="note-0246-02a" xml:space="preserve">12. 13.
                <lb/>
              lib. 1.</note>
            N E, P H inclinata duarũ ſectionũ
              <lb/>
            F E D, I H G, aut eorum tranſuer-
              <lb/>
            ſæ; </s>
            <s xml:id="echoid-s7799" xml:space="preserve">igitur O E, H Q erunt eorum
              <lb/>
            erecta, & </s>
            <s xml:id="echoid-s7800" xml:space="preserve">propterea figuræ duarum ſectionũ ſunt ſimiles; </s>
            <s xml:id="echoid-s7801" xml:space="preserve">igitur duæ ſectio-
              <lb/>
              <note position="left" xlink:label="note-0246-03" xlink:href="note-0246-03a" xml:space="preserve">12. huius.</note>
              <figure xlink:label="fig-0246-02" xlink:href="fig-0246-02a" number="283">
                <image file="0246-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0246-02"/>
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            nes ſimiles ſunt. </s>
            <s xml:id="echoid-s7802" xml:space="preserve">Et ſi quidem fuerint N E, P H æquales; </s>
            <s xml:id="echoid-s7803" xml:space="preserve">ipſæ quoque
              <lb/>
              <note position="left" xlink:label="note-0246-04" xlink:href="note-0246-04a" xml:space="preserve">2. & 10.
                <lb/>
              huius.</note>
            æquales erunt, alias non; </s>
            <s xml:id="echoid-s7804" xml:space="preserve">Et hoc erat propoſitum.</s>
            <s xml:id="echoid-s7805" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div711" type="section" level="1" n="234">
          <head xml:id="echoid-head295" xml:space="preserve">Notæ in Propoſit. XXV.</head>
          <p>
            <s xml:id="echoid-s7806" xml:space="preserve">SI abſcindant conum aliquem duo plana parallela prouenient duæ ſe-
              <lb/>
              <note position="right" xlink:label="note-0246-05" xlink:href="note-0246-05a" xml:space="preserve">a</note>
            ctiones hyperbolicæ, vel quia duæ ſectiones ſunt ſimiles, &</s>
            <s xml:id="echoid-s7807" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7808" xml:space="preserve">Quæ,
              <lb/>
            immutanda cenſui vt in textu videre eſt.</s>
            <s xml:id="echoid-s7809" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7810" xml:space="preserve">Sint abſciſſiones duorum planorum æquidiſtantium cum baſi I G, F D,
              <lb/>
              <note position="right" xlink:label="note-0246-06" xlink:href="note-0246-06a" xml:space="preserve">b</note>
            & </s>
            <s xml:id="echoid-s7811" xml:space="preserve">ſecet conum planum tranſiens per eius axim, &</s>
            <s xml:id="echoid-s7812" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7813" xml:space="preserve">Addidi verba, quæ
              <lb/>
            in textu d ſiderantur, quæ expoſitionem perſiciunt. </s>
            <s xml:id="echoid-s7814" xml:space="preserve">Animaduertendum eſt, hanc
              <lb/>
            propoſitionem conuertibilem non eſſe; </s>
            <s xml:id="echoid-s7815" xml:space="preserve">licet enim plana parallela in eodem cono
              <lb/>
            eſſiciant ſectiones ſimiles, verum non eſt, quod quotieſcunque in eodem cono </s>
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