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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[111.] Notæ in Propoſit. LXXII.
Page: 123 (85)
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
Page: 126 (88)
[113.] PROPOSITO LXXIV.
Page: 128 (90)
[114.] PROPOSITO LXXV.
Page: 128 (90)
[115.] PROPOSITIO LXXVI.
Page: 129 (91)
[116.] PROPOSITIO LXXVII.
Page: 130 (92)
[117.] Notæ in Propoſit. LXXIII.
Page: 130 (92)
[118.] LEMMA XII.
Page: 130 (92)
[119.] Notæ in Propoſ. LXXIV.
Page: 134 (96)
[120.] Notæ in Propoſit. LXXV.
Page: 135 (97)
[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
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            <s xml:id="echoid-s4915" xml:space="preserve">Erit angulus BHE ma-
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            ior, i
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            quàm E B H, &</s>
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            <s xml:id="echoid-s4917" xml:space="preserve">Eo
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            quod ramorum omnium ab
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            origine E ad ellipſim C B H
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            cadentium maximus ſuppo-
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            nitur E B; </s>
            <s xml:id="echoid-s4918" xml:space="preserve">ergo maior erit,
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            quàm E H, & </s>
            <s xml:id="echoid-s4919" xml:space="preserve">propterea
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            angulus E B H minori late-
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            ri oppoſitus minor erit angu-
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            lo E H B: </s>
            <s xml:id="echoid-s4920" xml:space="preserve">cadit vero recta
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            H F infra H E; </s>
            <s xml:id="echoid-s4921" xml:space="preserve">propterea
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            quod punctum F infra pun-
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            ctum E exiſtit; </s>
            <s xml:id="echoid-s4922" xml:space="preserve">igitur angu-
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            lus F H B maior eſt angulo
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            E H B; </s>
            <s xml:id="echoid-s4923" xml:space="preserve">& </s>
            <s xml:id="echoid-s4924" xml:space="preserve">ideo angulus F H B multo maior erit angulo F B H; </s>
            <s xml:id="echoid-s4925" xml:space="preserve">igitur ramus
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            F B, maiorem angulum ſubtendens, maior erit, quàm F H, &</s>
            <s xml:id="echoid-s4926" xml:space="preserve">c.</s>
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          <head xml:id="echoid-head186" xml:space="preserve">SECTIO DECIMAOCTAVA</head>
          <head xml:id="echoid-head187" xml:space="preserve">Continens XXXII. XXXIII. XXXIV. XXXV.
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          XXXVI. XXXVII. XXXVIII. XXXIX.
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          XXXX. XXXXVII. XXXXVIII.</head>
          <head xml:id="echoid-head188" xml:space="preserve">Propoſit. Apollonij.</head>
          <head xml:id="echoid-head189" xml:space="preserve">PROPOSITIO XXXII.</head>
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            <s xml:id="echoid-s4928" xml:space="preserve">IN ellipſi A B C rami cuiuslibet
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            maximi G H vtrumque axim ſe-
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            cantis portio N H inter axim maio-
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            rem, & </s>
            <s xml:id="echoid-s4929" xml:space="preserve">ſectionem intercepta, eſt li-
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            nea breuiſsima.</s>
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          <p>
            <s xml:id="echoid-s4931" xml:space="preserve">Producatur rectus axis minor A D vl-
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            tra centrum D ad I, G, & </s>
            <s xml:id="echoid-s4932" xml:space="preserve">ex I, G ad ſe-
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            ctionem ducantur duo rami maximi G H,
              <lb/>
            I K, qui ſecent tranſuerſum B D in N,
              <lb/>
            M, & </s>
            <s xml:id="echoid-s4933" xml:space="preserve">ſit B E dimidium erecti axis B D,
              <lb/>
            & </s>
            <s xml:id="echoid-s4934" xml:space="preserve">A F dimidium erecti axis A G; </s>
            <s xml:id="echoid-s4935" xml:space="preserve">& </s>
            <s xml:id="echoid-s4936" xml:space="preserve">edu-
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            cantur perpendiculares ad axes H O, H
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            P, K Q, K R. </s>
            <s xml:id="echoid-s4937" xml:space="preserve">Dico, N H breuiſsimum
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            eſſe ramorum egredientium ex H. </s>
            <s xml:id="echoid-s4938" xml:space="preserve">Quia
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            G H eſt linea maxima, erit D A ad A F,
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            nempe B E ad B D, vt D O ad O G (22.
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            </s>
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            ex 5.) </s>
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