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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[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)
[141.] PROPOSITIO XXXIII. XXXIV.
Page: 163 (125)
[142.] PROPOSITIO XXXV.
Page: 163 (125)
[143.] PROPOSITIO XXXVI.
Page: 164 (126)
[144.] PROPOSITIO XXXVII. XLVI.
Page: 164 (126)
[145.] PROPOSITIO XXXVIII.
Page: 165 (127)
[146.] PR OPOSITIO XXXIX.
Page: 166 (128)
[147.] PROPOSITIO XXXX.
Page: 166 (128)
[148.] PROPOSITIO XXXXVII.
Page: 166 (128)
[149.] PROPOSITIO XXXXVIII.
Page: 167 (129)
[150.] Notæ in Propoſit. XXXII.
Page: 167 (129)
[151.] Notæ in Propoſit. XXXIII. XXXIV.
Page: 167 (129)
[152.] Notæ in Propoſit. XXXV.
Page: 168 (130)
[153.] Notæ in Prop. XXXVI.
Page: 169 (131)
[154.] Notæ in Prop. XXXVIII.
Page: 169 (131)
[155.] Notæ in Propoſit. XXXIX.
Page: 170 (132)
[156.] Notæ in Propoſit. XXXXVIII.
Page: 170 (132)
[157.] LIBRI QVINTI FINIS.
Page: 170 (132)
[158.] APOLLONII PERGAEI CONICORVM LIB VI. DEFINITIONES. I.
Page: 171 (133)
[159.] II.
Page: 171 (133)
[160.] III.
Page: 171 (133)
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              <pb o="240" file="0278" n="278" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0278-01" xlink:href="fig-0278-01a" number="323">
                <image file="0278-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0278-01"/>
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            ad Z b, & </s>
            <s xml:id="echoid-s9001" xml:space="preserve">ad Z a eſt eadem; </s>
            <s xml:id="echoid-s9002" xml:space="preserve">& </s>
            <s xml:id="echoid-s9003" xml:space="preserve">propterea Z b æqualis eſt Z a, quod eſt
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            abſurdum.</s>
            <s xml:id="echoid-s9004" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s9005" xml:space="preserve">Ponamus iam quadratum F G ad G H in G I maiorem proportionem
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            habere, quàm D B ad B E. </s>
            <s xml:id="echoid-s9006" xml:space="preserve">Dico in cono H F I exhiberi non poſſe ſe-
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            ctionem æqualem hyperbolæ A B. </s>
            <s xml:id="echoid-s9007" xml:space="preserve">Si enim exhiberi poſſet illius axi ali-
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            qua parallela reperiretur vt F N: </s>
            <s xml:id="echoid-s9008" xml:space="preserve">& </s>
            <s xml:id="echoid-s9009" xml:space="preserve">quadratum F N ad I N in N H ma-
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            iorem proportionem habens, quàm quadratum F G ad quadratum G H,
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            erit vt D B ad B E; </s>
            <s xml:id="echoid-s9010" xml:space="preserve">quæ minor eſt proportione quadrati F G ad qua-
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            dratum G H: </s>
            <s xml:id="echoid-s9011" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s9012" xml:space="preserve">Non ergo reperitur in cono H F I ſe-
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            ctio æqualis hyperbolæ A B. </s>
            <s xml:id="echoid-s9013" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head299" xml:space="preserve">PROPOSITIO XXVIII.</head>
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            <s xml:id="echoid-s9015" xml:space="preserve">SIt iam ſectio elliptica A B, cuius axis tranſuerſus B D, & </s>
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            erectus illius B E, & </s>
            <s xml:id="echoid-s9017" xml:space="preserve">circa coni triangulum H F I deſcri-
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