Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
360 COMMENTARIA ANTIQUA. xal 0v^7Ct,7tteTCo6av «AAijAatg Kata tb F ivtbg tijg 7CSQiexov67jg yovCag trjv AB toiii^v' cpavsQov dri, otL ai AF^ FB ixPaXXo^svac ov 6v^7ts6ovvtaL tatg davfi- 7tt(6toig tijg E to^ijg, dXXa 7tSQLSX0v6LV avtdg xal 5 7toXv 7tXsov trjv E to^rjv. xal i^tsl tijg A/1 to^ijg icpd^ttstat f} AF^ 7} AF dga ov 6v^7ts6SLtaL tij BH. oiioCog drj dsC^o^sv^ otL rj BF ov 6v^7ts6sLtaL trj AJ. rj dga E to^rj ovds^La tcov A^^ BH to^cov 6v^- 7tS6SLtaL. 4. nsQLExovaivl Halley, nBQiixcoGiv Wp. 5. iTTft] BnC Wp, corr. Comm ^z/] AB Wp, corr. Comm. 7 AJ. tj] p, JJH W. 8. BH] 0H p.
manifestum EUTOCII COMMENTARIA IN CONICA. 361 ducantur ab A, B rectae sectiones contingentes et inter se cdncurrant in F intra angulum sectionem AB compreliendentem [II, AF cum BH non concurret [II, 33]. 25] *, igitur, AF^ FB productas rectas cum asymptotis sectionis E non concurrere, sed eas multoque magis sectionem E comprehendere [II, 33]. et quoniam AF sectionem A^ contingit, iam eodem modo demonstrabimus, BF cum A^ non concurrere. ergo sectio E cum neutra sectionum A^, BH concurret. Fig. om. Wp.
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manifestum<br />
EUTOCII COMMENTARIA IN CONICA. 361<br />
ducantur ab A, B rectae sectiones contingentes et<br />
inter se cdncurrant in F intra angulum sectionem<br />
AB compreliendentem [II,<br />
AF <strong>cum</strong> BH non concurret<br />
[II, 33].<br />
25]<br />
*,<br />
igitur,<br />
AF^ FB productas<br />
rectas<br />
<strong>cum</strong> asymptotis<br />
sectionis<br />
E non concurrere, sed eas<br />
multoque magis sectionem<br />
E comprehendere<br />
[II, 33]. et quoniam AF<br />
sectionem A^ contingit,<br />
iam eodem modo demonstrabimus, BF<br />
<strong>cum</strong> A^ non concurrere. ergo sectio E <strong>cum</strong> neutra<br />
sectionum A^, BH concurret.<br />
Fig. om. Wp.