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

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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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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