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-div293" type="section" level="1" n="97">
          <pb o="74" file="0112" n="112" rhead="Apollonij Pergæi"/>
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        <div xml:id="echoid-div296" type="section" level="1" n="98">
          <head xml:id="echoid-head136" xml:space="preserve">SECTIO DECIMATERTIA</head>
          <head xml:id="echoid-head137" xml:space="preserve">Continens Propoſ. LXIV. LXV. LXVI.
            <lb/>
          LXVII. & LXXII. Apollonij.</head>
          <head xml:id="echoid-head138" xml:space="preserve">PROPOSITIO LXIV. LXV.</head>
          <p>
            <s xml:id="echoid-s3112" xml:space="preserve">S I ramorum ſecantium D C, D B, D A eductorum ex con-
              <lb/>
            curſu D ad fectionem C A non fuerint duo breuiſecantes,
              <lb/>
            vtique minimus eorum eſt, ramus terminatus D A, qui ambit
              <lb/>
            cum axe A E angulum acutum; </s>
            <s xml:id="echoid-s3113" xml:space="preserve">nempe D A E, & </s>
            <s xml:id="echoid-s3114" xml:space="preserve">reliquorum
              <lb/>
            propinquior illi minor eſt remotiore, ſcilicet D B maior, eſt
              <lb/>
            quàm D A, & </s>
            <s xml:id="echoid-s3115" xml:space="preserve">D C quàm D B.</s>
            <s xml:id="echoid-s3116" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3117" xml:space="preserve">Si vero inter illos fuerint duo breuiſecantes tunc vicinior
              <lb/>
            vertici ſectionis eſt maximus ramorum, & </s>
            <s xml:id="echoid-s3118" xml:space="preserve">maiori proximior,
              <lb/>
            eſt maior, & </s>
            <s xml:id="echoid-s3119" xml:space="preserve">minori propinquior eſt minor.</s>
            <s xml:id="echoid-s3120" xml:space="preserve"/>
          </p>
          <figure number="94">
            <image file="0112-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0112-01"/>
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            <s xml:id="echoid-s3121" xml:space="preserve">Producamus perpendicularem D E ſuper axim E A, & </s>
            <s xml:id="echoid-s3122" xml:space="preserve">reperiatur Tru-
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              <note position="right" xlink:label="note-0112-01" xlink:href="note-0112-01a" xml:space="preserve">a</note>
            tina F. </s>
            <s xml:id="echoid-s3123" xml:space="preserve">Et primo loco nullus ramus ſit breuiſecans, iam ſi D B, non eſt
              <lb/>
            maior, quàm D A, ſit æqualis illi, & </s>
            <s xml:id="echoid-s3124" xml:space="preserve">ducamus duas </s>
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