Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
236 COMMENTARIA ANTIQUA. Tov KTtb ®M l'6ov rc5 avra, to ds ano ®M tov djcb HM iist^ov, To KQa vTtb BHA [lallov roi) vTtl BQA. Etg tb xs', "Ev tL6v (pBQBtai xal avtr} r} aTtodsL^ig' 5 sllrifpQ^ci tL 6rj^stov sitl tr]g to^rjg tb 0, xal sns- Isvx&G) ri Z®' 7j Z® aga STcpaXXo^svrj Cv^TtCittst tfj ^F' S6t6 xal rj ZE. Ttdhv drj slXricpQ^cOj xal STts- ^svxd^o rj KZ Tcal iy.^s^lriC^Gi' 6v^7ts0sttaL dr} tfj BA SK^aXkoiisvri' Sots xal rj ZH. 10 Etg tb ic\ Tb d^sojQrj^a tovto 7tt^6sig sxst TtXsLOvg, TtQcotov ^isVy otL rj EZ rj snl td TcvQtd iiSQrj trjg to^fjg Xa^pdvstaL G)g svtavd^a ^ siil ta KotXa, sitSLta^ otL rj ditb TO-D E TtaQa tstay^svcjg Tiatrjy^svrjv s6o ^sv 15 yMd"^ ^v (Srj^stov 6v^^dklsL ddLacpoQog tfj dLa^stQO ditSLQCo ovCrj, s^G) ds ov6a xal ^dhata sitl trjg vtcsq- ^okrjg s%SL d-s0LV rj s^cotSQG) rot; B rj sitl rov B rj ^sta^v tcov A, B, Eig t6 h^', 20 "Ev tL0LV dvtLyQdcpOLg tov nt,' d^scoQrj^atog cpsQStaL tOLavxrj dnoSsL^Lg' s0tG) TtaQa^oXrj, rjg dLa^stQog ^ AB, xal tavtrjv ts^vstG) svd-std tLg rj HJ svtbg trjg to^rjg. Xsyo, 1. @M] 0B p. @M] @B p. 2. HM e corr. p. 3. xs'] supra s scr. ^ m. 1 p. 4. tLaiv W. 7. z/T] J corr. ex r in scrib. W. 9. -17] scripsi, ty Wp. 10. xsr'] g e corr. m. 1 p. 12. ^] om. p. 14. te-] in ras. ante ras. 2 — 3 litt. W. s6(o] scripsi, eoag Wp. 15. ddLoccpoQcog] scripsi, diacpoQoog Wp. 17. Jd-ioLv] comp. p, Q'SGeL W. ij inL — 18. ftfr«|v] in ras. p. 19. Elg to >tj'] xal tovto
: In quibusdam codicibus haec quoque fertur demonstratio EUTOCII COMMENTARIA IN CONICA. 237 Ad prop. XXV. sumatur in sectione punctum aliquod 0, ducaturque Z0; Z0 igitur producta cum z/F concurrit [prop. XXIII]; quare etiam Z E. rursus punctum sumatur, ducaturque KZ et producatur; concurret igitur cum BA producta. quare etiam ZH. Ad prop. XXVI. Haec propositio complures liabet casus, primum quod EZ aut ad partes conuexas sectionis sumitur sicut hic aut ad concauas, deinde quod recta ab E ordinate ducta intus quidem indifferenter in uno aliquo puncto cum diametro concurrit, quae infinita est, extra uero posita, maxime in hyperbola, aut extra B aut in ipso B aut inter ^, B cadere potest. Ad prop. XXVII. In quibusdam codicibus haec fertur demonstratio propositionis XXVII: sit parabola, cuius diametrus sit ^5, secetque eam recta aliqua H^ intra sectionem posita. dico, Evto)iLov p. H^'] K^, § mut. in b (euan.), W; corr. Comm. 20. cpsQStcci,'] (psQSxai ri p, sq euan. 22. naQcci^oXrig p. iq\ om. p.
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236 COMMENTARIA ANTIQUA.<br />
Tov KTtb ®M l'6ov rc5 avra, to ds ano ®M tov djcb<br />
HM iist^ov, To KQa vTtb BHA [lallov roi) vTtl BQA.<br />
Etg tb xs',<br />
"Ev tL6v (pBQBtai xal avtr} r} aTtodsL^ig'<br />
5 sllrifpQ^ci tL 6rj^stov sitl tr]g to^rjg tb 0, xal sns-<br />
Isvx&G) ri Z®' 7j Z® aga STcpaXXo^svrj Cv^TtCittst tfj<br />
^F' S6t6 xal rj ZE. Ttdhv drj slXricpQ^cOj xal STts-<br />
^svxd^o rj KZ Tcal iy.^s^lriC^Gi' 6v^7ts0sttaL dr} tfj BA<br />
SK^aXkoiisvri' Sots xal rj ZH.<br />
10 Etg tb ic\<br />
Tb d^sojQrj^a tovto 7tt^6sig sxst TtXsLOvg, TtQcotov<br />
^isVy otL rj EZ rj snl td TcvQtd iiSQrj trjg to^fjg Xa^pdvstaL<br />
G)g svtavd^a ^ siil ta KotXa, sitSLta^ otL rj<br />
ditb TO-D E TtaQa tstay^svcjg Tiatrjy^svrjv s6o ^sv<br />
15 yMd"^ ^v (Srj^stov 6v^^dklsL ddLacpoQog tfj dLa^stQO<br />
ditSLQCo ovCrj, s^G) ds ov6a xal ^dhata sitl trjg vtcsq-<br />
^okrjg s%SL d-s0LV rj s^cotSQG) rot; B rj sitl rov B rj<br />
^sta^v tcov A, B,<br />
Eig t6<br />
h^',<br />
20 "Ev tL0LV dvtLyQdcpOLg tov nt,' d^scoQrj^atog cpsQStaL<br />
tOLavxrj dnoSsL^Lg'<br />
s0tG) TtaQa^oXrj, rjg dLa^stQog ^ AB, xal tavtrjv<br />
ts^vstG) svd-std tLg rj HJ svtbg trjg to^rjg. Xsyo,<br />
1. @M] 0B p. @M] @B p. 2. HM e corr. p. 3.<br />
xs'] supra s scr. ^ m. 1 p. 4. tLaiv W. 7. z/T] J corr.<br />
ex r in scrib. W. 9. -17] scripsi, ty Wp. 10. xsr'] g e<br />
corr. m. 1 p. 12. ^] om. p. 14. te-] in ras. ante ras.<br />
2 — 3 litt. W. s6(o] scripsi, eoag Wp. 15. ddLoccpoQcog]<br />
scripsi, diacpoQoog Wp. 17. Jd-ioLv] comp. p, Q'SGeL W. ij<br />
inL — 18. ftfr«|v] in ras. p. 19. Elg to >tj'] xal tovto