Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Share Embed Flag
Download ePaper

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

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

wilbourhall.org
from wilbourhall.org More from this publisher
11.01.2015 Views

352 COMMENTARIA ANTIQUA. xccl to avaTCcclCv iaxLv^ oSg 7] KA TtQog JZl, -)] AF TtQos rzl' dv l'0ov aga, ag 7] MA TtQog AK^ 7] NF TtQog FA' koX ivccXXcc^, ag tj MA TCQog NF, rj KA TtQog AF. otccl (hg ccqcc xo vtco NF, AM TtQog 6 ro anb AM^ rb vitb AF, KA TtQog xb a%b KA. ^AXl' wg ^sv t6 vTtb AM, NF TtQog rb vjtb N^M, xb ccnb EB TtQog t6 aicb B^] iTCsl yccQ tb vTtb AM, FN TtQog tb vitb NAM tbv avyxsL^svov sxsL koyov in roi) tfjg AM TtQbg ikZz/ xal tov trjg 10 FN TCQbg A^z/, aW mg ^hv ri AM TCQbg M^, 7] EB TCQbg BA, G)g ds rj FN TCQbg N^, rj EB JtQbg BA, tb ccQa vTcb AM, FN TCQbg tb vTcb NAM dLnla^Cova koyov s%SL rot» ov s%sl rj EB TtQbg BA. s%sl ds xal tb ccTtb EB TtQbg tb ccTtb -Bz/ dLTcXaaCova loyov tov 15 trig EB jCQog BA' cog ocQa tb vtco AM, FN JCQbg tb VTcb NAMy tb ccTcb EB TCQog tb anb BA. '^g ds tb vTcb N^M iCQbg tb vnb NBM, tb VTcb FAA TCQbg tb vjcb FEA] iicsl yccQ ro vnb N^M TCQog tb vTcb NBM tbv OvyxsC^svov s%sl Xoyov 20 ix, tov trjg ^N TCQog NB xal tov rijcj z/M iCQbg MB, dXX' 6g ^lv 7] zfN TCQbg NB, rj AF TCQog FE, (hg ds rj ^M TCQog MB, rj ^A TCQbg AE, s^sl ccQa tbv CvyKSL^svov ix tov tijg ^F TCQbg FE xal tov trjg AA TCQbg AE, og idXLV 6 avtbg t^ ov ^%sl ro vnb 25 FAA TCQog tb vjcb FEA. 6g ccQa tb vjcb NJM TCQbg tb vnb NBM, t6 vnb F/IA n^bg tb vnb FEA. 2. di'] p, om. W. 4. AT] scripsi, AK Wp^cl Comm. 5. t6 vno] tov W, t6 p, corr. Comm. ano] corr. ex vno p. 7. NJM] NAM Wp, corr. Comm. 8. vno (pr.)] e corr. p. vnb NJ M] dno Ez/ Wp, corr. Comm. 9. ^%£l] supra scr. m. 1 W. 10, NJ] NB Wp, corr. Comm. 13. 8X£L ds - 15. BJ] om. p. 15. coc] p, c5 W. 16. vno] Jl

AJ : ^M = TA : EUTOCII COMMENTARIA IN CONICA. 353 AA\AM= Jr-.VN, z/iV, conuertendo erit eadem de causa [Eucl. VI, 4] et e contrario erit KA \*AA = AF: Fz/; ex aequo igitur MA :AK = Nr: T^; NF = KA : AF. ergo etiam et permutando MA : NFX AM: AM^ = ArxKA: KA\ Uerum NF X AM : NJ X AM = EB^ : BA^ I p. 442, 28—444, 1] quoniam enim est AMX rN:NA X AM= {AM:MA)x(rN: N A) et AM : = EB : MA NA i^ViQ\.Nl,2],eviiAMxrN:NJxAM = EB^:BA\ YiiNAxAM:NBxBM=rJxAA:rExEA I p. 444, — 1 2] quoniam enim NA X AM:NB X BM= {AN:NB)x{AM: MB), et AN : NB = AT : FE, AM : MB = AA: AE [Eucl. VI, 4], erit NAxAM:NBxBM FE) X {AA : AE) = rAxAA:rEx EA. = (Jr : BA, FN : = EB : BA ccno p. NJM] J M Wp, corr. Comm. ocno (pr.)] corr. ex vTio in scrib. W. 18. FEA] E e corr. p. 19. NzlM — vito] om. Wp, corr. Comm. 20. JN] JiNT Wp, corr. Comm. 21. dN] N e corr. p. 22. zl A] Sci W. 24. o] e corr. p, cog W. 25. FEA] A e corr. m. 1 W, TEA p. In fine: mnXii^aixai 6vv &£m to V7t6iivr}ficc tov y' ^i^XCov tav MGiviY.Kiv EvtonCov 'Aa-naXcovCtov Wp. Apollonius, ed. Heiberg. II. . 2.S

AJ : ^M = TA :<br />

EUTOCII COMMENTARIA IN CONICA. 353<br />

AA\AM= Jr-.VN,<br />

z/iV, conuertendo erit<br />

eadem de causa [Eucl. VI, 4] et e contrario erit<br />

KA \*AA = AF: Fz/; ex aequo igitur<br />

MA :AK = Nr: T^;<br />

NF = KA : AF. ergo etiam<br />

et permutando MA :<br />

NFX AM: AM^ = ArxKA: KA\<br />

Uerum NF X AM : NJ X AM = EB^ :<br />

BA^<br />

I p. 442, 28—444, 1] quoniam enim est<br />

AMX rN:NA X AM= {AM:MA)x(rN: N A)<br />

et AM :<br />

= EB :<br />

MA NA<br />

i^ViQ\.Nl,2],eviiAMxrN:NJxAM = EB^:BA\<br />

YiiNAxAM:NBxBM=rJxAA:rExEA<br />

I p. 444, — 1 2] quoniam enim<br />

NA X AM:NB X BM= {AN:NB)x{AM: MB),<br />

et AN : NB = AT : FE, AM : MB = AA: AE<br />

[Eucl. VI, 4], erit NAxAM:NBxBM<br />

FE) X {AA : AE) = rAxAA:rEx EA.<br />

= (Jr :<br />

BA, FN :<br />

= EB :<br />

BA<br />

ccno p. NJM] J M Wp, corr. Comm. ocno (pr.)] corr.<br />

ex vTio in scrib. W. 18. FEA] E e corr. p. 19.<br />

NzlM — vito] om. Wp, corr. Comm. 20. JN] JiNT Wp,<br />

corr. Comm. 21. dN] N e corr. p. 22. zl A] Sci W.<br />

24. o] e corr. p, cog W. 25. FEA] A e corr. m. 1 W,<br />

TEA p. In fine: mnXii^aixai 6vv &£m to V7t6iivr}ficc tov y'<br />

^i^XCov tav MGiviY.Kiv EvtonCov 'Aa-naXcovCtov Wp.<br />

Apollonius, ed. Heiberg. II. . 2.S

logo

products

Resources

Company

Terms of service
Privacy policy
Cookie policy
Cookie settings
Imprint
Change language
Made with love in Switzerland
© 2024 Yumpu.com all rights reserved

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!