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.
[152.] Notæ in Propoſit. XXXV.
[153.] Notæ in Prop. XXXVI.
[154.] Notæ in Prop. XXXVIII.
[155.] Notæ in Propoſit. XXXIX.
[156.] Notæ in Propoſit. XXXXVIII.
[157.] LIBRI QVINTI FINIS.
[158.] APOLLONII PERGAEI CONICORVM LIB VI. DEFINITIONES. I.
[159.] II.
[160.] III.
[161.] IV.
[163.] VI.
[164.] VII.
[165.] VIII.
[166.] IX.
[167.] NOTÆ.
[168.] MONITVM.
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
[170.] PROPOSITIO II.
[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.
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page |< < (117) of 458 > >|
155117Conicor. Lib. V.
PROPOSITIO XX. XXI.
& XXII.
SI in ellipſi A B C menſura I C in axe minori C D ſumpta
11a minor fuerit comparata, C F, &
maior dimidio axis E C,
( perficiaturque figura, vt antea ) dico, quod omnium ramorum
I A, I B, I K, I H, I C egredientium ex origine I maximus
145[Figure 145] eſt I B, cuius potentialis B G abſcindit à menſura verſus origi-
nem rectam G I, ad quàm inuerſa E G eandem proportionem
habet, quàm D C ad eius erectum;
Et quadratum maximi I B ſu-
perat quadratum cuiuslibet alterius rami I K exemplari applica-
to ad G P differentiam eorum abſciſſarum.
146[Figure 146]

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