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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[111.] Notæ in Propoſit. LXXII.
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
[113.] PROPOSITO LXXIV.
[114.] PROPOSITO LXXV.
[115.] PROPOSITIO LXXVI.
[116.] PROPOSITIO LXXVII.
[117.] Notæ in Propoſit. LXXIII.
[118.] LEMMA XII.
[119.] Notæ in Propoſ. LXXIV.
[120.] Notæ in Propoſit. LXXV.
[121.] Notæ in Propoſ. LXXVI.
[122.] Notæ in Propoſit. LXXVII.
[123.] COROLLARIVM.
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
[125.] PROPOSITO XXXXII.
[126.] PROPOSITIO XXXXIII.
[127.] Notæ in Propoſ. XXXXI.
[128.] Notæ in Propoſ. XXXXII.
[129.] Notæ in Propoſit. XXXXIII.
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
[133.] PROPOSITIO XX. XXI. & XXII.
[134.] PROPOSITIO XXIII. & XXIV.
[135.] PROPOSITIO XXV.
[136.] Notæ in Propoſit. XIX.
[137.] Notæ in Propoſit. XX. XXI. XXII.
[138.] Notæ in Propoſ. XXIII. XXIV.
[139.] Notæ in Propoſ. XXXV.
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
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          <head xml:id="echoid-head136" xml:space="preserve">SECTIO DECIMATERTIA</head>
          <head xml:id="echoid-head137" xml:space="preserve">Continens Propoſ. LXIV. LXV. LXVI.
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          LXVII. & LXXII. Apollonij.</head>
          <head xml:id="echoid-head138" xml:space="preserve">PROPOSITIO LXIV. LXV.</head>
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            <s xml:id="echoid-s3112" xml:space="preserve">S I ramorum ſecantium D C, D B, D A eductorum ex con-
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            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
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            propinquior illi minor eſt remotiore, ſcilicet D B maior, eſt
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            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"/>
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          <p>
            <s xml:id="echoid-s3117" xml:space="preserve">Si vero inter illos fuerint duo breuiſecantes tunc vicinior
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            vertici ſectionis eſt maximus ramorum, & </s>
            <s xml:id="echoid-s3118" xml:space="preserve">maiori proximior,
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            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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            tina F. </s>
            <s xml:id="echoid-s3123" xml:space="preserve">Et primo loco nullus ramus ſit breuiſecans, iam ſi D B, non eſt
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            maior, quàm D A, ſit æqualis illi, & </s>
            <s xml:id="echoid-s3124" xml:space="preserve">ducamus duas </s>
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