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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[31.] PROPOS. II.
Page: 43 (5)
[32.] PROPOS. III.
Page: 44 (6)
[33.] Notæ in Propoſitionem primam.
Page: 44 (6)
[34.] Notæ in Propoſitionem ſecundam.
Page: 45 (7)
[35.] Notæ in Propoſitionem tertiam.
Page: 45 (7)
[36.] SECTIO SECVNDA Continens propoſitiones IV. V. VI. Apollonij.
Page: 45 (7)
[37.] PROPOSITIO IV.
Page: 46 (8)
[38.] PROPOSITIO V. & VI.
Page: 46 (8)
[39.] Notæ in pro poſitionem quartam.
Page: 47 (9)
[40.] Notæ in propoſitionem quintam.
Page: 48 (10)
[41.] MONITVM.
Page: 50 (12)
[42.] LEMMA I.
Page: 51 (13)
[43.] LEMMA II.
Page: 52 (14)
[44.] LEMMA III.
Page: 53 (15)
[45.] LEMMA IV.
Page: 53 (15)
[46.] SECTIO TERTIA Continens VIII. IX. X. Propoſ. Apollonij.
Page: 54 (16)
[47.] PROPOSITIO IX. & X.
Page: 56 (18)
[48.] Notæ in Propoſitionem VIII.
Page: 57 (19)
[49.] Notæ in Propoſitionem IX. & X.
Page: 59 (21)
[50.] SECTIO IV. Continens Propoſit. VII. & XII. Apollonij.
Page: 62 (24)
[51.] NOTÆ.
Page: 63 (25)
[52.] SECTIO QVINTA Continens XI. Propoſit. Apollonij.
Page: 64 (26)
[53.] NOTÆ.
Page: 64 (26)
[54.] SECTIO SEXTA Continens Propoſit. XIII. XIV. XV. Apollonij.
Page: 65 (27)
[55.] NOTÆ.
Page: 66 (28)
[56.] SECTIO SEPTIMA Continens XXVI. XXVII. XXVIII. Propoſ. Apollonij. PROPOSITIO XXVI. & XXVII.
Page: 67 (29)
[57.] PROPOSITIO XXVIII.
Page: 67 (29)
[58.] NOTÆ.
Page: 68 (30)
[59.] LEMMA V.
Page: 68 (30)
[60.] LEMMA. VI.
Page: 69 (31)
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page |< < (88) of 458 > >|
12688Apollonij Pergæi
SECTIO DECIMAQVARTA
Continens Propoſ. LXXIII. LXXIV. LXXV.
LXXVI. & LXXVII.
PROPOSITIO LXXIII.
SI ex concurſu E non exiſtente ſuper rectum minorem elli-
11a pſis A B C ducatur ad ſectionem A B vnicus ramus vtrum-
que axim ſecans, cuius portio G I inter ſectionem, & axim
maiorem A C ſit breuiſſima, vel duo breuiſecantes; vtique ra-
morum ſecantium ex illo concurſu egredientium maximus erit
breuiſecans, qui ſectionis rectum ſecat, nempe E G, & illi
proximior maior eſt remotiore; minimus verò eorum eſt, qui
terminatur à vertice ſectionis proximiori concurſui, nempe E
C, & illi propinquiores minores ſunt remotioribus, nempe in-
ter C G. Si autem egrediantur ex illo tres breuiſecantes, &
duo illorum ſecuerint menſuram, & vnus ſecuerit rectum, vtique
qui rectum ſecat eſt maximus ramorum ſecantium: & ramorum
inter mediam breuiſecantem, & remotiorem verticem ſectionis
à concurſu cadentium, proximior illi, eſt maior remotiore, &
maximus duorum reliquorum breuiſecantium eſt ille, qui vertici
proximus eſt, & ramorum, inter proximiorem verticem ſectio-
nis, & intermedium breuiſecantem cadentium, vicinior illi, ma-
ior eſt remotiore.
109[Figure 109]

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