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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[121.] Notæ in Propoſ. LXXVI.
[122.] Notæ in Propoſit. LXXVII.
[123.] COROLLARIVM.
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
[125.] PROPOSITO XXXXII.
[126.] PROPOSITIO XXXXIII.
[127.] Notæ in Propoſ. XXXXI.
[128.] Notæ in Propoſ. XXXXII.
[129.] Notæ in Propoſit. XXXXIII.
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
[133.] PROPOSITIO XX. XXI. & XXII.
[134.] PROPOSITIO XXIII. & XXIV.
[135.] PROPOSITIO XXV.
[136.] Notæ in Propoſit. XIX.
[137.] Notæ in Propoſit. XX. XXI. XXII.
[138.] Notæ in Propoſ. XXIII. XXIV.
[139.] Notæ in Propoſ. XXXV.
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
[141.] PROPOSITIO XXXIII. XXXIV.
[142.] PROPOSITIO XXXV.
[143.] PROPOSITIO XXXVI.
[144.] PROPOSITIO XXXVII. XLVI.
[145.] PROPOSITIO XXXVIII.
[146.] PR OPOSITIO XXXIX.
[147.] PROPOSITIO XXXX.
[148.] PROPOSITIO XXXXVII.
[149.] PROPOSITIO XXXXVIII.
[150.] Notæ in Propoſit. XXXII.
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APOLLONII PERGAEI
CONICORVM LIB VI.
DEFINITIONES.
I.
SEctiones ÆQVALES ſunt, quæ ad inuicem ſu-
perpoſitæ ſibi mutuò congruunt.
II.
SIMILES verò ſunt, in quibus omnes po-
tentiales ad axium abſciſſas vtrobique ſunt in
ijſdem rationibus, tum abſciſſæ ad abſciſſas.
III.
Et linea, quæ ſubtendit ſegmentum circumferentiæ circuli,
aut ſectionis coni vocatur BASIS illius ſegmenti.
IV.
Et linea, quæ bifariam diuidit ordinationes æquidiſtantes baſi
illius, vocatur DIAMETER illius ſegmenti.
V.
Et eius terminus, qui eſt ad ſectionem, VERTEX ſegmenti.
VI.
Et SEGMENTA ÆQVALIA ſunt, quæ ſuperpoſita ſibi mu-
tuò congruunt.
VII.
Et SIMILIA ſunt, quorum baſes cum diametris æquales an-
gulos continent, &
in eorum ſingulis ductæ lineæ baſi parallelæ
numero æquales ad abſciſſas diametrorum ſunt in ijſdem ratio-
nibus tum abſciſsæ ad abſciſsas.

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