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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            vel hyperbolæ, nec habent baſes, à quibus circumſcribantur, igitur in ſectionibus
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            ſimilibus A B, & </s>
            <s xml:id="echoid-s6398" xml:space="preserve">G F homolegæ axium abſciſſæ B C, F H non ſupponuntur iam
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            <s xml:id="echoid-s6400" xml:space="preserve">quare poßunt eße cuiuſcunque menſuræ, & </s>
            <s xml:id="echoid-s6401" xml:space="preserve">habere poſ-
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            ſunt eandem, & </s>
            <s xml:id="echoid-s6402" xml:space="preserve">non eandem proportionem ad conterminas potentiales; </s>
            <s xml:id="echoid-s6403" xml:space="preserve">& </s>
            <s xml:id="echoid-s6404" xml:space="preserve">ideo
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            ad vitandam incertitudinem adiungi debet determinatio, quod prædictæ homo-
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            logæ abſcißæ B C, F H proportionales ſint lateribus rectis B D, F I, at in ſeg-
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            mentis, ſeu portionibus ſectionum conicarum ſimilium inutilis omnino eßet illa
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            determinatio. </s>
            <s xml:id="echoid-s6405" xml:space="preserve">An verò hæc mea ſententia omninò reijci debeat alijs iudicandũ
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            relinquo.</s>
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          <head xml:id="echoid-head257" xml:space="preserve">Notæ in Propoſit. XI.</head>
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            <s xml:id="echoid-s6407" xml:space="preserve">CVmque B C ad B L poſita ſit vt H F ad F N, &</s>
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            <s xml:id="echoid-s6409" xml:space="preserve">Quia inuertendo
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            D B ad B C eandem proportionem habet quàm I F ad F H, & </s>
            <s xml:id="echoid-s6410" xml:space="preserve">C B ad B
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            L eſt vt H F ad F N; </s>
            <s xml:id="echoid-s6411" xml:space="preserve">ergo ex æquali ordinata D B ad B L eandem proportio-
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            nem habebit, quàm I F ad F N; </s>
            <s xml:id="echoid-s6412" xml:space="preserve">eſtque ordinatim applicata Q L media pro.
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            portionatis inter abſciſſam B L, & </s>
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            tum Q L æquale ſit rectangulo L B D ) pariterque X N media proportionalis eſt
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              <note position="right" xlink:label="note-0203-02" xlink:href="note-0203-02a" xml:space="preserve">11. lib. I.</note>
            inter F N, & </s>
            <s xml:id="echoid-s6415" xml:space="preserve">I F; </s>
            <s xml:id="echoid-s6416" xml:space="preserve">ergo Q L ad L B eſt vt X N ad N F, & </s>
            <s xml:id="echoid-s6417" xml:space="preserve">antecedentium,
              <lb/>
            duplæ, ſcilicet Q R ad L B, atque X r
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            ad N F in eadem ratione erunt. </s>
            <s xml:id="echoid-s6418" xml:space="preserve">Non
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            ſecus oſtendetur O P ad K B vt T V ad M F.</s>
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