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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            <s xml:id="echoid-s2104" xml:space="preserve">Et ſimili modo conſtat, quod breuiſſima egrediens ex puncto L cadit
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            extra S L, &</s>
            <s xml:id="echoid-s2105" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2106" xml:space="preserve">Ad vitandam confuſionem figuræ, & </s>
            <s xml:id="echoid-s2107" xml:space="preserve">prolixitatem demonſtrationis
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            <s xml:id="echoid-s2108" xml:space="preserve">nouo labore, ſi inſpiciatur ſecunda figura, ijſdem verbis prioris caſus, oſtendetur ca-
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            ſus ſecundus.</s>
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            <s xml:id="echoid-s2110" xml:space="preserve">Pariter demonſtrabitur, quemadmodum iam oſtenſumeſt, &</s>
            <s xml:id="echoid-s2111" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2112" xml:space="preserve">Pars ſecun-
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            da huius propoſitionis innuitur tantummodo pauciſsimis verbis; </s>
            <s xml:id="echoid-s2113" xml:space="preserve">quare maioris cla-
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            ritatis gratia integram demonſtrationem hìc afferre libuit.</s>
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          <head xml:id="echoid-head103" xml:space="preserve">Demonſtratio ſecundæ partis.</head>
          <head xml:id="echoid-head104" xml:space="preserve">PROPOSITIONIS LI.</head>
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            <s xml:id="echoid-s2115" xml:space="preserve">Eſto E D æqualis trutinæ H: </s>
            <s xml:id="echoid-s2116" xml:space="preserve">Dico ex concurſu E vnicum tantùm breui-
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            ſecantem ramum duci poſſe.</s>
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            <s xml:id="echoid-s2118" xml:space="preserve">In eadem ſigura, quia ex conſtructione H ad B G eſt, vt G F ad F D, ponitur verò
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            E D æqualis H; </s>
            <s xml:id="echoid-s2119" xml:space="preserve">ergo E D ad B G, ſeu D I ad I G (propter ſimilitudinem triangulo-
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            rum E D I, B G I) eſt, vt G F ad F D, & </s>
            <s xml:id="echoid-s2120" xml:space="preserve">componendo D G ad G I eſt, vt eadem G D
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            ad D F; </s>
            <s xml:id="echoid-s2121" xml:space="preserve">ideoque I G æqualis eſt D F, ſeu A C ſemierecto; </s>
            <s xml:id="echoid-s2122" xml:space="preserve">igitur B I eſt breuiſsima.</s>
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          <note position="right" xml:space="preserve">8. huius.</note>
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            <s xml:id="echoid-s2124" xml:space="preserve">Poſte a ducto quolibet ramo E K ſupra breuiſecantem E B (in prima figura, & </s>
            <s xml:id="echoid-s2125" xml:space="preserve">in-
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            fra in ſecunda) occurrente axi in R, & </s>
            <s xml:id="echoid-s2126" xml:space="preserve">ducta K M perpendiculari ad axim, quæ eum
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            ſecet in M, & </s>
            <s xml:id="echoid-s2127" xml:space="preserve">tangentem O B in P. </s>
            <s xml:id="echoid-s2128" xml:space="preserve">Quoniam (vt dictum eſt) O F ſecatur </s>
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