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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[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.
[141.] PROPOSITIO XXXIII. XXXIV.
[142.] PROPOSITIO XXXV.
[143.] PROPOSITIO XXXVI.
[144.] PROPOSITIO XXXVII. XLVI.
[145.] PROPOSITIO XXXVIII.
[146.] PR OPOSITIO XXXIX.
[147.] PROPOSITIO XXXX.
[148.] PROPOSITIO XXXXVII.
[149.] PROPOSITIO XXXXVIII.
[150.] Notæ in Propoſit. XXXII.
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          <head xml:id="echoid-head194" xml:space="preserve">PROPOSITIO XXXVIII.</head>
          <p>
            <s xml:id="echoid-s5023" xml:space="preserve">SI linea maxima, aut breuiſſima,
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            vt C B, producatur extra ſe-
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            ctionem A B ad D, erit eius portio
              <lb/>
            B D extra ſectionem abſciſſa mini-
              <lb/>
            ma omnium linearum D E, D F,
              <lb/>
            D A egredientium ab illo pnncto ad
              <lb/>
            circumferentiam ſectionis: </s>
            <s xml:id="echoid-s5024" xml:space="preserve">reliqua-
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            rũ vero propinquior, illi minor eſt
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            remotiore.</s>
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          <p>
            <s xml:id="echoid-s5026" xml:space="preserve">Educatur B G, tangens ſectionem in
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            B; </s>
            <s xml:id="echoid-s5027" xml:space="preserve">erit D B minor, quàm D H; </s>
            <s xml:id="echoid-s5028" xml:space="preserve">ergo mul-
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            to minor eſt, quàm D E: </s>
            <s xml:id="echoid-s5029" xml:space="preserve">& </s>
            <s xml:id="echoid-s5030" xml:space="preserve">iungamus
              <lb/>
            F E, F A, erit angulus F E D obtuſus,
              <lb/>
            & </s>
            <s xml:id="echoid-s5031" xml:space="preserve">propterea D E minor eſt, quàm D F,
              <lb/>
            & </s>
            <s xml:id="echoid-s5032" xml:space="preserve">ſimiliter D F minor, quàm D A; </s>
            <s xml:id="echoid-s5033" xml:space="preserve">quod
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            erat oſtendendum.</s>
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