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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[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
Page: 229 (191)
[222.] Notæ in Propoſit. XVIII. & XIX.
Page: 230 (192)
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
Page: 231 (193)
[224.] PROPOSITIO XXI.
Page: 233 (195)
[225.] PROPOSITIO XXII.
Page: 235 (197)
[226.] PROPOSITIO XXIII.
Page: 236 (198)
[227.] PROPOSITIO XXIV.
Page: 236 (198)
[228.] Notæ in Propoſit. XX.
Page: 237 (199)
[229.] Notæ in Propoſit. XXI.
Page: 241 (203)
[230.] Notæ in Propoſit. XXII.
Page: 243 (205)
[231.] Notæ in Propoſit. XXIII.
Page: 244 (206)
[232.] Notæ in Propoſit. XXIV.
Page: 245 (207)
[233.] SECTIO NONA Continens Propoſit. XXV.
Page: 245 (207)
[234.] Notæ in Propoſit. XXV.
Page: 246 (208)
[235.] LEMMA IX.
Page: 267 (229)
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
Page: 275 (237)
[237.] PROPOSITIO XXVII.
Page: 276 (238)
[238.] PROPOSITIO XXVIII.
Page: 278 (240)
[239.] Notæ in Propoſit. XXVI.
Page: 279 (241)
[240.] Notæ in Propoſit. XXVII.
Page: 280 (242)
[241.] Notæ in Propoſit. XXVIII.
Page: 284 (246)
[242.] LEMMAX.
Page: 284 (246)
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
Page: 285 (247)
[244.] PROPOSITIO XXX.
Page: 286 (248)
[245.] PROPOSITIO XXXI.
Page: 289 (251)
[246.] Notæ in Propoſit. XXIX.
Page: 291 (253)
[247.] Notæ in Propoſit. XXX.
Page: 292 (254)
[248.] Notæ in Propoſit. XXXI.
Page: 296 (258)
[249.] LIBRI SEXTI FINIS.
Page: 308 (270)
[250.] DEFINITIONES. I.
Page: 309 (271)
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            Simili modo oſtendetur quod I K minor ſit, quam P R: </s>
            <s xml:id="echoid-s11289" xml:space="preserve">etenim ſi pona-
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            tur linea f æqualis ſummæ M G, G E: </s>
            <s xml:id="echoid-s11290" xml:space="preserve">cum G E non ſit maior duplo E
              <lb/>
            H, & </s>
            <s xml:id="echoid-s11291" xml:space="preserve">f maior ſit duplo G E; </s>
            <s xml:id="echoid-s11292" xml:space="preserve">igitur f in E H maius eſt quadrato G E.
              <lb/>
            </s>
            <s xml:id="echoid-s11293" xml:space="preserve">Poſtea oſtendetur (quemadmodum antea dictum eſt) quod M H ad H
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            E, nempe M H in H A ad E H in H A minorem proportionem habet
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            quàm quadratum M G ad quadratum G E; </s>
            <s xml:id="echoid-s11294" xml:space="preserve">& </s>
            <s xml:id="echoid-s11295" xml:space="preserve">permutando M H in H A
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            ad quadratum M G, ſeu quadratum A C ad quadratum P R(15. </s>
            <s xml:id="echoid-s11296" xml:space="preserve">ex 7.)
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            <s xml:id="echoid-s11297" xml:space="preserve">minorem proportionem habebit, quàm E H in H A ad quadratum G E,
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            nempe quàm quadratum A C ad quadratum I K: </s>
            <s xml:id="echoid-s11298" xml:space="preserve">& </s>
            <s xml:id="echoid-s11299" xml:space="preserve">propterea A C ad
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            P R minorem proportionem habebit, quàm ad I K; </s>
            <s xml:id="echoid-s11300" xml:space="preserve">ideoquè I K minor
              <lb/>
            eſt, quàm P R: </s>
            <s xml:id="echoid-s11301" xml:space="preserve">& </s>
            <s xml:id="echoid-s11302" xml:space="preserve">pariter P R minor, quàm S Z.</s>
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          <head xml:id="echoid-head375" xml:space="preserve">PROPOSITIO XXXV. &
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          XXXVI.</head>
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            <s xml:id="echoid-s11304" xml:space="preserve">S It poſtea A C minor dimidio A F; </s>
            <s xml:id="echoid-s11305" xml:space="preserve">erit A G maior duplo A H, & </s>
            <s xml:id="echoid-s11306" xml:space="preserve">
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            ideo H G maior eſt, quàm H A: </s>
            <s xml:id="echoid-s11307" xml:space="preserve">ponatur iam H M æqualis H G,
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            ducaturque ad axim perpendicularis N M ; </s>
            <s xml:id="echoid-s11308" xml:space="preserve">iungaturque N C, & </s>
            <s xml:id="echoid-s11309" xml:space="preserve">educa-
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            tur diameter P Q parallela N C. </s>
            <s xml:id="echoid-s11310" xml:space="preserve">Et quia M H medietas eſt ipſius M G,
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            erit P Q dimidium ipſius P R (6. </s>
            <s xml:id="echoid-s11311" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11312" xml:space="preserve">Inter duas diametros P Q, A C
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            ducatur diameter I I.</s>
            <s xml:id="echoid-s11313" xml:space="preserve">, & </s>
            <s xml:id="echoid-s11314" xml:space="preserve">C B ei parallela, & </s>
            <s xml:id="echoid-s11315" xml:space="preserve">ad axim perpendicularis
              <lb/>
            B E. </s>
            <s xml:id="echoid-s11316" xml:space="preserve">Quoniam M H in H E minus eſt quadrato H G; </s>
            <s xml:id="echoid-s11317" xml:space="preserve">addito </s>
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