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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[61.] LEMMA VII.
Page: 69 (31)
[62.] SECTIO OCTAVA Continens Prop. IL. L. LI. LII. LIII. Apoll.
Page: 70 (32)
[63.] PROPOSITIO IL. & L.
Page: 71 (33)
[64.] PROPOSITIO LI.
Page: 72 (34)
[65.] PROPOSITIO LII. LIII.
Page: 73 (35)
[66.] PROPOSITIO LIV. LV.
Page: 77 (39)
[67.] PROPOSITIO LVI.
Page: 77 (39)
[68.] PROPOSITIO LVII.
Page: 78 (40)
[69.] Notæ in Propoſit. IL. L.
Page: 78 (40)
[70.] Notæ in Propoſit. LI.
Page: 79 (41)
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
Page: 81 (43)
[72.] Notæ in Propoſ. LII. LIII.
Page: 83 (45)
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
Page: 87 (49)
[74.] Notæ in Propoſ. LIV. LV.
Page: 92 (54)
[75.] Notæ in Propoſit. LVI.
Page: 93 (55)
[76.] LEMMA VIII.
Page: 95 (57)
[77.] Notæ in Propoſ. LVII.
Page: 96 (58)
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
Page: 98 (60)
[79.] PROPOSITIO LVIII.
Page: 98 (60)
[80.] PROPOSITIO LIX. LXII. & LXIII.
Page: 98 (60)
[81.] PROPOSITIO LX.
Page: 100 (62)
[82.] PROPOSITIO LXI.
Page: 100 (62)
[83.] Notæ in Propoſit. LVIII.
Page: 101 (63)
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
Page: 102 (64)
[85.] Notæ in Propoſit. LX.
Page: 103 (65)
[86.] Notæ in Propoſit. LXI.
Page: 103 (65)
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
Page: 105 (67)
[88.] PROPOSITIO XXXXIV.
Page: 105 (67)
[89.] PROPOSITIO XXXXV.
Page: 106 (68)
[90.] Notæ in Propoſ. XXXXIV.
Page: 106 (68)
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page |< < (37) of 458 > >|
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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