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

207169Conicor. Lib. VI.

227[Figure 227] prima figura extra duo ſegmenta, & in ſecunda intra, at in ter-
tia intra duos ſemicirculos), & fuerit proportio plani rectan-
guli ex portionibus lineæ baſis inter angulum prouenientem, &
duos angulos reliquos trianguli, nempe A H in H C ad qua-
112 dratum interceptæ inter prouenientem angulum, & circuli peri-
pheriam, nempe ad quadratum H B in quolibet caſu eadem
ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
quadratum H T ſit, vt D I in I F ad quadratum I G; ſintque
duo priores anguli, inter ſe æquales, & prouenientes extra duo
triangula poſiti: vel duo priores recti, & prouenientes intra
223 duos angulos non ſint recti; aut duo priores non recti, & pro-
334 uenientes recti intra duo triangula: vel duo priores diuerſæ,
445 aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
les cum lateribus duorum triangulorum ſubtendentibus angulos
prouenientes: vtique duo priora triangula ſunt ſimilia.

Quia C H in H A; nempe T H in H B ad quadratum H B, quod eſt,
vt H T ad H B eandem proportionem habet, quàm D I in I F, nempe

228[Figure 228] G I in I E ad quadratum I E, quod eſt vt I G ad I E, erit B H ad H T,
vt E I ad I G; ſimiliter, & eorum quadrata; oſtendetur igitur ex

121 (83)	122 (84)
123 (85)	124 (86)
125 (87)	126 (88)
127 (89)	128 (90)
129 (91)	130 (92)

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