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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[11.] PRÆFATIO AD LECTOREM.
[12.] INDEX
[13.] APOLLONII PERGAEI CONICORVM LIB. V. DEFINITIONES. I.
[14.] II.
[15.] III.
[16.] IV.
[17.] V.
[18.] VI.
[19.] VII.
[20.] VIII.
[21.] IX.
[22.] X.
[23.] XI.
[24.] XII.
[25.] XIII.
[26.] XIV.
[27.] XV.
[28.] XIV.
[29.] NOTÆ.
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
[31.] PROPOS. II.
[32.] PROPOS. III.
[33.] Notæ in Propoſitionem primam.
[34.] Notæ in Propoſitionem ſecundam.
[35.] Notæ in Propoſitionem tertiam.
[36.] SECTIO SECVNDA Continens propoſitiones IV. V. VI. Apollonij.
[37.] PROPOSITIO IV.
[38.] PROPOSITIO V. & VI.
[39.] Notæ in pro poſitionem quartam.
[40.] Notæ in propoſitionem quintam.
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7537Conicor. Lib. V.51[Figure 51] C a, & comparando homologorum differentias erit F O ad O a, vt F C
11Lem. 4. ad C O, quæ eſt, vt f B ad B O, nempe f h ad O a;
igitur proportiones
ipſarum F O, f h ad eandem O a eædem ſunt;
ergo ſunt æquales; & pro-
pterea f i ad i h maiorem proportionem habet, quàm ad f g, &
compo-
22p nendo f h ad i h, nempe B f ad V i maiorem proportionem habet, quàm
i g ad g f;
ergo B f in f g, nempe rectangulum g C maius eſt quàm i V
in i g, &
ponamus rectangulum g e commune, erit aggregatum rectan-
33q

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