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

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[151.] Notæ in Propoſit. XXXIII. XXXIV.
Page: 167 (129)
[152.] Notæ in Propoſit. XXXV.
Page: 168 (130)
[153.] Notæ in Prop. XXXVI.
Page: 169 (131)
[154.] Notæ in Prop. XXXVIII.
Page: 169 (131)
[155.] Notæ in Propoſit. XXXIX.
Page: 170 (132)
[156.] Notæ in Propoſit. XXXXVIII.
Page: 170 (132)
[157.] LIBRI QVINTI FINIS.
Page: 170 (132)
[158.] APOLLONII PERGAEI CONICORVM LIB VI. DEFINITIONES. I.
Page: 171 (133)
[159.] II.
Page: 171 (133)
[160.] III.
Page: 171 (133)
[161.] IV.
Page: 171 (133)
[162.] V.
Page: 171 (133)
[163.] VI.
Page: 171 (133)
[164.] VII.
Page: 171 (133)
[165.] VIII.
Page: 172 (134)
[166.] IX.
Page: 172 (134)
[167.] NOTÆ.
Page: 172 (134)
[168.] MONITVM.
Page: 175 (137)
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
Page: 176 (138)
[170.] PROPOSITIO II.
Page: 177 (139)
[171.] PROPOSITIO IV.
Page: 179 (141)
[172.] PROPOSITIO X.
Page: 179 (141)
[173.] Notæ in Propoſit. I.
Page: 179 (141)
[174.] Notæ in Propoſit. II.
Page: 180 (142)
[175.] Notæ in Propoſit. IV.
Page: 182 (144)
[176.] Notæ in Propoſit. X.
Page: 182 (144)
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
Page: 184 (146)
[178.] PROPOSITIO VI.
Page: 185 (147)
[179.] PROPOSITIO VII.
Page: 185 (147)
[180.] PROPOSITIO IX.
Page: 186 (148)
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12890Apollonij Pergæi
PROPOSITO LXXIV.
DEinde ſint E H, E G duo breuiſecantes, & E G ſecet
rectum B D. Dico, quod E G eſt maximus ramorum,
egredientium ex E ad ſectioncm A B C, & E C eſt minimus.
Producatur perpendicularis E F, quæ non cadet ſuper centrum; ſi e-
nim per centrum duceretur, duci poſſet ex E, aut vnicus breuiſecans
11Ex 45.
huius. tantum (44. ex 5.) aut tres (45. ex 5.) quod eſt contra hypotheſin; er-
22a go E F per centrum non tranſit, cadat ſuper C D; & quia ducuntur ex
E duo breuiſecantes, erit C F maior dimidio erecti, & E F æqualis Tru-
tinæ (52. ex 5.) patet itaquè, vti antea demonſtrauimus, quod E G
maximus ſit ramorũ, & E C minimus; atquè propinquior maximo, maior
eſt, & propinquior minimo, eſt minor.
111[Figure 111]
PROPOSITO LXXV.
POſtea educamus ex E tres breuiſecantes E G, E H, E I,
33a& ſecent E I, E H menſuram, & E G ſecet rectum in L.
Dico, quod E G eſt maximus ramorum egredientium ex E ad
ſectionem A B C, & ramorum inter A H cadentium propin-
quiores illi, maiores ſunt remotioribus, & E I eſt maximus ra-
morum egredientium ad ſectionem H C, & illi propinquiores
maiores ſunt remotioribus.

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