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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317279Conicor. Lib. VII.366[Figure 366] H E ad E G; igitur proportio quadrati I D ad quadratum N D compo-
ſita eſt ex proportione C A ad A H, & ex G C ad C A, atque ex C E
ad E A, & A E ad E C, & tandem ex H E ad E G; ſed C A ad A H,
& G C ad C A componunt proportionem C A ad ei æqualem A C: ſi-
militer C E ad E A, & A E ad E C eſt vt E C ad ſe ipſam: quare ſi hæ
proportiones auſerantur, remanebit E H ad E G, vt quadratum I D ad
quadratum N D: nempe erit eadem ac proportio figuræ diametri I L.
Quod erat oſtendendum.
Notæ in Propoſit. II. III.
SI in ſectione A B à termino communi A interceptæ, & c. Addidi par-
ticulam vtriuslibet interceptæ vt propoſitio efficiatur vniuerſalis compræhen-
11a367[Figure 367]

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