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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              <figure xlink:label="fig-0207-01" xlink:href="fig-0207-01a" number="227">
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            prima figura extra duo ſegmenta, & </s>
            <s xml:id="echoid-s6509" xml:space="preserve">in ſecunda intra, at in ter-
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            tia intra duos ſemicirculos), & </s>
            <s xml:id="echoid-s6510" xml:space="preserve">fuerit proportio plani rectan-
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            guli ex portionibus lineæ baſis inter angulum prouenientem, & </s>
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            duos angulos reliquos trianguli, nempe A H in H C ad qua-
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              <note position="left" xlink:label="note-0207-01" xlink:href="note-0207-01a" xml:space="preserve">2</note>
            dratum interceptæ inter prouenientem angulum, & </s>
            <s xml:id="echoid-s6512" xml:space="preserve">circuli peri-
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            pheriam, nempe ad quadratum H B in quolibet caſu eadem
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            ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
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            quadratum H T ſit, vt D I in I F ad quadratum I G; </s>
            <s xml:id="echoid-s6513" xml:space="preserve">ſintque
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            duo priores anguli, inter ſe æquales, & </s>
            <s xml:id="echoid-s6514" xml:space="preserve">prouenientes extra duo
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            triangula poſiti: </s>
            <s xml:id="echoid-s6515" xml:space="preserve">vel duo priores recti, & </s>
            <s xml:id="echoid-s6516" xml:space="preserve">prouenientes intra
              <lb/>
              <note position="left" xlink:label="note-0207-02" xlink:href="note-0207-02a" xml:space="preserve">3</note>
            duos angulos non ſint recti; </s>
            <s xml:id="echoid-s6517" xml:space="preserve">aut duo priores non recti, & </s>
            <s xml:id="echoid-s6518" xml:space="preserve">pro-
              <lb/>
              <note position="left" xlink:label="note-0207-03" xlink:href="note-0207-03a" xml:space="preserve">4</note>
            uenientes recti intra duo triangula: </s>
            <s xml:id="echoid-s6519" xml:space="preserve">vel duo priores diuerſæ,
              <lb/>
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            aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
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            les cum lateribus duorum triangulorum ſubtendentibus angulos
              <lb/>
            prouenientes: </s>
            <s xml:id="echoid-s6520" xml:space="preserve">vtique duo priora triangula ſunt ſimilia.</s>
            <s xml:id="echoid-s6521" xml:space="preserve"/>
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            <s xml:id="echoid-s6522" xml:space="preserve">Quia C H in H A; </s>
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            vt H T ad H B eandem proportionem habet, quàm D I in I F, nempe
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            G I in I E ad quadratum I E, quod eſt vt I G ad I E, erit B H ad H T,
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            vt E I ad I G; </s>
            <s xml:id="echoid-s6524" xml:space="preserve">ſimiliter, & </s>
            <s xml:id="echoid-s6525" xml:space="preserve">eorum quadrata; </s>
            <s xml:id="echoid-s6526" xml:space="preserve">oſtendetur igitur ex </s>
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