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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[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
[281.] Notæ in Propoſit. XII.
Page: 332 (293)
[282.] Notæ in Propoſit. XIII.
Page: 333 (294)
[283.] Notæ in Propoſit. XXIX.
Page: 334 (295)
[284.] Notæ in Propoſit. XXX.
Page: 334 (295)
[285.] Notæ in Propoſit. XIV. & XXV.
Page: 335 (296)
[286.] Notæ in Propoſit. XXVII.
Page: 335 (296)
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
Page: 337 (298)
[288.] PROPOSITIO XXI. & XXVIII.
Page: 338 (299)
[289.] PROPOSITIO XXVI
Page: 339 (300)
[290.] PROPOSITIO XXXXII.
Page: 340 (301)
[291.] PROPOSITIO XXXXIII.
Page: 341 (302)
[292.] PROPOSITIO XXIV.
Page: 342 (303)
[293.] PROPOSITIO XXXVII.
Page: 343 (304)
[294.] Notę in Propoſit. XXVIII.
Page: 344 (305)
[295.] LEMMA. I.
Page: 345 (306)
[296.] Notę in Propoſit. XXI.
Page: 347 (308)
[297.] Notę in Propoſit. XXXXII.
Page: 349 (310)
[298.] Notæ in Propoſit. XXXXIII.
Page: 350 (311)
[299.] Notæ in Propoſit. XXIV.
Page: 352 (313)
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
Page: 353 (314)
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            H erit vt M H ad H D: </s>
            <s xml:id="echoid-s12106" xml:space="preserve">& </s>
            <s xml:id="echoid-s12107" xml:space="preserve">comparando homologorum differentias erit
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            M G ad M D, vt G H ad H M: </s>
            <s xml:id="echoid-s12108" xml:space="preserve">& </s>
            <s xml:id="echoid-s12109" xml:space="preserve">propterea duplum G H in M D, ſeu
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            quadruplum H D in D M eſt æquale duplo G M in M H: </s>
            <s xml:id="echoid-s12110" xml:space="preserve">& </s>
            <s xml:id="echoid-s12111" xml:space="preserve">propterea
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            duplum G M in M H maius erit quàm duplum G E in M H; </s>
            <s xml:id="echoid-s12112" xml:space="preserve">ponatur
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            communiter duplum E M in H M cum quadruplo quadrati M D, & </s>
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            D d æqualis D M, fiet duplum E d in M H maius quadrato H M cum
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            quadrato M G; </s>
            <s xml:id="echoid-s12114" xml:space="preserve">igitur d E in E M bis ſumptum ad duplum E d in M H.
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            <s xml:id="echoid-s12115" xml:space="preserve">nempe E M ad M H minorem proportionem habebit, quàm duplum d
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            E in E M ad duo quadrata ex M G, & </s>
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            <s xml:id="echoid-s12117" xml:space="preserve">& </s>
            <s xml:id="echoid-s12118" xml:space="preserve">componendo E H
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            ad M H, ſeu E H in H A ad M H in H A minorem proportionem habe-
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            bit, quàm duplum d E in E M vna cum quadratis ex M H, & </s>
            <s xml:id="echoid-s12119" xml:space="preserve">ex
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            M G, quæ æqualia ſunt duobus quadratis H E, & </s>
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            ta ex M G, & </s>
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            <s xml:id="echoid-s12122" xml:space="preserve">Et ſic pariter oſtendetur, quod quadratum H
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            A ad H E in H A minorem proportionem habebit, quàm duo quadrata
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            ex H A, & </s>
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