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-div208" type="section" level="1" n="73">
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            <s xml:id="echoid-s2455" xml:space="preserve">
              <pb o="54" file="0092" n="92" rhead="Apollonij Pergæi"/>
            ſiue C q ad q x (propter ſimilitudinem triangulorum) maiorem proportionem
              <lb/>
            habebit, quàm I C ad C S, vel C D ad D F, & </s>
            <s xml:id="echoid-s2456" xml:space="preserve">diuidendo in hyperbola, & </s>
            <s xml:id="echoid-s2457" xml:space="preserve">com-
              <lb/>
            ponendo in ellipſi, C x ad x q maiorem proportionem habebit, quàm C F ad F
              <lb/>
            D, ſiue quàm latus tranſuerſum ad rectum, quapropter breuiſsima ex p ad axim
              <lb/>
              <note position="left" xlink:label="note-0092-01" xlink:href="note-0092-01a" xml:space="preserve">Ex 9. 10.
                <lb/>
              huius.</note>
            ducta ſecat maiorem lineam, quàm A q. </s>
            <s xml:id="echoid-s2458" xml:space="preserve">Quæ omnia oſtendenda fuerant.</s>
            <s xml:id="echoid-s2459" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div218" type="section" level="1" n="74">
          <head xml:id="echoid-head107" xml:space="preserve">Notæ in Propoſ. LIV. LV.</head>
          <p>
            <s xml:id="echoid-s2460" xml:space="preserve">ITaque oſtenſum eſt, vti memorauimus, quod ex concurſu duarum,
              <lb/>
              <note position="right" xlink:label="note-0092-02" xlink:href="note-0092-02a" xml:space="preserve">a</note>
            breuiſſimarum ad illam ſectionem non egrediatur alia breuiſecans prę-
              <lb/>
            ter illas duas, & </s>
            <s xml:id="echoid-s2461" xml:space="preserve">quod reliqui rami ex eorum concurſu educti ad ſectio-
              <lb/>
            nem habent proprietates ſuperius expoſitas.</s>
            <s xml:id="echoid-s2462" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2463" xml:space="preserve">Senſum germanum huius conſectarij, in quo duæ propoſitiones Apollonij con-
              <lb/>
            tinentur, non eſt facile diuinare in tanta Apolloij breuitate, & </s>
            <s xml:id="echoid-s2464" xml:space="preserve">textus Arabici
              <lb/>
            inſigni corruptione; </s>
            <s xml:id="echoid-s2465" xml:space="preserve">videtur enim recenſere, & </s>
            <s xml:id="echoid-s2466" xml:space="preserve">recolligere concluſionem quam-
              <lb/>
            dam præcedentium propoſitionum: </s>
            <s xml:id="echoid-s2467" xml:space="preserve">at hoc fieri nullo modo debebat in duabus pro-
              <lb/>
            poſitionibus 44. </s>
            <s xml:id="echoid-s2468" xml:space="preserve">& </s>
            <s xml:id="echoid-s2469" xml:space="preserve">45. </s>
            <s xml:id="echoid-s2470" xml:space="preserve">Rurſus ſi theoremata ſunt, demonſtrari non poterant ante
              <lb/>
            propoſitiones 51. </s>
            <s xml:id="echoid-s2471" xml:space="preserve">52. </s>
            <s xml:id="echoid-s2472" xml:space="preserve">53; </s>
            <s xml:id="echoid-s2473" xml:space="preserve">ſed for ſan numeri Arabici non 44. </s>
            <s xml:id="echoid-s2474" xml:space="preserve">& </s>
            <s xml:id="echoid-s2475" xml:space="preserve">45; </s>
            <s xml:id="echoid-s2476" xml:space="preserve">ſed 54. </s>
            <s xml:id="echoid-s2477" xml:space="preserve">& </s>
            <s xml:id="echoid-s2478" xml:space="preserve">
              <lb/>
            55. </s>
            <s xml:id="echoid-s2479" xml:space="preserve">eſſe debent, quod mirum non eſt, cum numeri paſsim in hoc codice Arabico
              <lb/>
            deformati reperiantur. </s>
            <s xml:id="echoid-s2480" xml:space="preserve">Itaque in hac ambiguitate ſuſpicor, textum ſic reſtitui
              <lb/>
            poſſe.</s>
            <s xml:id="echoid-s2481" xml:space="preserve"/>
          </p>
          <figure number="69">
            <image file="0092-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0092-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s2482" xml:space="preserve">Si in coniſectione duæ breuiſecantes ductæ fuerint ab eorum concurſu,
              <lb/>
              <note position="left" xlink:label="note-0092-03" xlink:href="note-0092-03a" xml:space="preserve">PROP. 5.
                <lb/>
              Addit.</note>
            nullus alius ramus ductus erit breuiſecans: </s>
            <s xml:id="echoid-s2483" xml:space="preserve">Et ramorum ab eodem con-
              <lb/>
            curſu extenſorum, qui inter breuiſecantes intercipiuntur, abſcindunt axis
              <lb/>
            ſegmenta maiora, & </s>
            <s xml:id="echoid-s2484" xml:space="preserve">qui non intercipiuntur, minora, quàm abſcindant
              <lb/>
            lineæ breuiſsimæ ab eorum terminis ad axim ductæ: </s>
            <s xml:id="echoid-s2485" xml:space="preserve">oportet autem in,
              <lb/>
            ellipſi, vt duo rami, & </s>
            <s xml:id="echoid-s2486" xml:space="preserve">perpendicularis cadant inter axis maioris ver-
              <lb/>
            ticem, & </s>
            <s xml:id="echoid-s2487" xml:space="preserve">centrum ſectionis.</s>
            <s xml:id="echoid-s2488" xml:space="preserve"/>
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