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

Table of contents

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[161.] IV.
[163.] VI.
[164.] VII.
[165.] VIII.
[166.] IX.
[167.] NOTÆ.
[168.] MONITVM.
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
[170.] PROPOSITIO II.
[171.] PROPOSITIO IV.
[172.] PROPOSITIO X.
[173.] Notæ in Propoſit. I.
[174.] Notæ in Propoſit. II.
[175.] Notæ in Propoſit. IV.
[176.] Notæ in Propoſit. X.
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
[178.] PROPOSITIO VI.
[179.] PROPOSITIO VII.
[180.] PROPOSITIO IX.
[181.] Notæ in Propoſit. III.
[182.] Notæ in Propoſit. VI.
[183.] Notæ in Propoſit. VII.
[184.] Notæ in Propoſit. IX.
[185.] LEMMAI.
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
[187.] PROPOSITIO VIII.
[188.] Notæ in Propoſit. V.
[189.] Notæ in Propoſit. VIII.
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
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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.
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          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-
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            curſu D ad fectionem C A non fuerint duo breuiſecantes,
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            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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            <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">
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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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