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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[51.] NOTÆ.
[52.] SECTIO QVINTA Continens XI. Propoſit. Apollonij.
[53.] NOTÆ.
[54.] SECTIO SEXTA Continens Propoſit. XIII. XIV. XV. Apollonij.
[55.] NOTÆ.
[56.] SECTIO SEPTIMA Continens XXVI. XXVII. XXVIII. Propoſ. Apollonij. PROPOSITIO XXVI. & XXVII.
[57.] PROPOSITIO XXVIII.
[58.] NOTÆ.
[59.] LEMMA V.
[60.] LEMMA. VI.
[61.] LEMMA VII.
[62.] SECTIO OCTAVA Continens Prop. IL. L. LI. LII. LIII. Apoll.
[63.] PROPOSITIO IL. & L.
[64.] PROPOSITIO LI.
[65.] PROPOSITIO LII. LIII.
[66.] PROPOSITIO LIV. LV.
[67.] PROPOSITIO LVI.
[68.] PROPOSITIO LVII.
[69.] Notæ in Propoſit. IL. L.
[70.] Notæ in Propoſit. LI.
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
[72.] Notæ in Propoſ. LII. LIII.
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
[74.] Notæ in Propoſ. LIV. LV.
[75.] Notæ in Propoſit. LVI.
[76.] LEMMA VIII.
[77.] Notæ in Propoſ. LVII.
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
[79.] PROPOSITIO LVIII.
[80.] PROPOSITIO LIX. LXII. & LXIII.
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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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            <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,
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            & </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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