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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[171.] PROPOSITIO IV.
[172.] PROPOSITIO X.
[173.] Notæ in Propoſit. I.
[174.] Notæ in Propoſit. II.
[175.] Notæ in Propoſit. IV.
[176.] Notæ in Propoſit. X.
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
[178.] PROPOSITIO VI.
[179.] PROPOSITIO VII.
[180.] PROPOSITIO IX.
[181.] Notæ in Propoſit. III.
[182.] Notæ in Propoſit. VI.
[183.] Notæ in Propoſit. VII.
[184.] Notæ in Propoſit. IX.
[185.] LEMMAI.
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
[187.] PROPOSITIO VIII.
[188.] Notæ in Propoſit. V.
[189.] Notæ in Propoſit. VIII.
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
[191.] PROPOSITIO XII.
[192.] PROPOSITIO XIII.
[193.] PROPOSITIO XIV.
[194.] MONITVM.
[195.] LEMMA II.
[196.] COROLLARIVM.
[197.] LEMMA III.
[198.] LEMMA IV.
[199.] COROLLARIVM.
[200.] LEMMAV.
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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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