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.
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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          <head xml:id="echoid-head355" xml:space="preserve">Notæ in Propoſit. XIV. & XXV.</head>
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            <s xml:id="echoid-s10749" xml:space="preserve">QVoniam nedum in hyperbola, ſed etiam in ellipſi quadratum A C ad ſum-
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            mam quadratorum ex I L, & </s>
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            A H ad ſummam ipſarum H E, & </s>
            <s xml:id="echoid-s10751" xml:space="preserve">E G, atque quadratorum ex I
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            L, & </s>
            <s xml:id="echoid-s10752" xml:space="preserve">ex N O ſumma ad eorundem quadratorum differentiam eandem propor-
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            tionem habet, quàm ipſarum H E, & </s>
            <s xml:id="echoid-s10753" xml:space="preserve">E G ſumma ad earundem differentiam;
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            evgo ex æquali quadratum A C ad quadratorum ex I L, & </s>
            <s xml:id="echoid-s10755" xml:space="preserve">ex N O differen-
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            tiam eandem proportionem habet, quàm C G, ſiue H A ad ipſarum H E, & </s>
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            E G differentiam; </s>
            <s xml:id="echoid-s10757" xml:space="preserve">ſed in ellipſi ipſarum H E, & </s>
            <s xml:id="echoid-s10758" xml:space="preserve">E G differentia æqualis eſt
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            duplo E D; </s>
            <s xml:id="echoid-s10759" xml:space="preserve">igitur in ellipſi quadratum A C ad quadratorum ex I L, & </s>
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            N O differentiam eandem proportionem habebit, quàm præſecta C G ad duplum
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            inuerſæ E D.</s>
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          <head xml:id="echoid-head356" xml:space="preserve">Notæ in Propoſit. XXVII.</head>
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            <s xml:id="echoid-s10762" xml:space="preserve">ET oſtenſum iam eſt, quod I L in hyperbola maior eſt, quàm A C;
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            ergo differentia A C, & </s>
            <s xml:id="echoid-s10764" xml:space="preserve">illius coniugati maior eſt, quàm differen-
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            gata, &</s>
            <s xml:id="echoid-s10766" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10767" xml:space="preserve">Hoc autem ſic demonſtrabitur. </s>
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            <s xml:id="echoid-s10769" xml:space="preserve">I L produca-
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            tur A M æqualis Q R, & </s>
            <s xml:id="echoid-s10770" xml:space="preserve">I K æqualis N O, & </s>
            <s xml:id="echoid-s10771" xml:space="preserve">ab ijsdem ſecentur A S æqua-
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            lis Q R, & </s>
            <s xml:id="echoid-s10772" xml:space="preserve">I T æqualis N O. </s>
            <s xml:id="echoid-s10773" xml:space="preserve">Quoniam M S bifariam ſecatur in A, & </s>
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