Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

EUTOCII COMMENTARIA IN CONICA. 263
et punctum casus VII efficiet; aut euim inter B, z/
cadit aut in B aut inter B, Z aut in Z aut inter
Z, r aut in F aut inter F, A. et in liis casibus
adcidit, ut dififerentia triangulorum ABF^ H®K infra
rectam AB b. recta AF producta construatur.
sin H ad alteram partem sectionis sumitur, et
recta ab H rectae EZ parallela inter B, Z cadit,
demonstrationis causa producetur, donec rectam AF
secet, punctum @ autem casus efficiet YII aut iuter
J5, Z positum aut in Z cadens aut inter Z, F aut in
r aut inter F, A aut in A aut extra A. sin recta
ab H rectae EZ parallela in Z cadit, ita ut EZH
una sit recta, punctum ® casus V efficiet; nam aut
inter Z, F cadet aut in F aut inter i"', A aut in ^
aut extra A. sin ifJC inter Z, JT cadit, casus V
efficiet; aut enim inter Z, P cadet aut in F aut inter
r*, ^ aut in A aut extra A. sin ifiir in P centrum
cadit, punctum @ tres casus efficiet aut inter rj A
cadens aut in A aut extra A] et in his casibus
rursus adcidet, ut sit H&K == ABF. sin HK inter
r', A cadit, punctum aut inter F, ^ cadet aut in
A aut extra ^.
adcidit igitur, ut in ellipsi omnino XLII sint
casus et in ambitu quoque circuli totidem, ita ut
casus huius propositionis omnino sint XCVI.
[lEtci^v] om. p. 14. TiLTCtrj] corr. ex nCntEL p. 18. iistulv
— 21. HK] om. p. 19. r; (alt.)] om. W, corr. Comm. 20.
To] t(OL W. 22. to] p, tmv W. 25. ylBP] ^B Wp, corr.
Comm. 26. tmv — neost-'] in ras. W. 27. td] p, rtot W.
^'] p, om. W. 28. Tivos] T^s