Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
34 KSiNIKSiN S\ kiyco^ oxL 7} dta xm' K, H ar}y,siG}v GviiTtsosttcci rfi to^rj xal TCaQccXlrjXog s0taL tfj d6v^7tt(6t(p, scp^ rjg s0ti tb z/ arj^stov, xal rj aTcb trjg dv^Tttcoascag 5 iTcl tb A dyo\iivr\ scpdil^stat trjg to ^rjg, i^Xd-cj ydg icpajtto- ^ivr} rj z/Z, Kal ditb Tov Z TtaQcc trjv d6v[i' 10 Tttotov, icp* rjg i6ti t6 z/, rii^-co svd-sta' 7]^SL drj did tcjv K, H. sl yaQ ^lhJ, td jtQotSQOv slQrj' ^iva dtOTta 6v^Pi]6staL, 15 "E0tGi0av drj o^OLcog aC dvtLKSL^svaL xal au dcv^- 7ttC3tOL, xal t6 z/ 6r}^stov b^OLcog stX^^cpd-o, xal rj fihv r^@ ti^vov6a tdg tofidg, rj dh ^B TtaQaXXrjXog tfj stiQcc tcov davfiTttdtcov, xal s6ta), ag rj F/l TtQbg z/0, rj rn jtQbg H©, tfi de ^B l'6r] rj BK, 20 Xiyco, otL -T] did tcov K, H av^nsGsttaL sxatiQa tcov dvtLKSL^ivcov, xal at dnb tcov 6v^ntco6scov inl t6 z/ icpd^tpovtaL tov dvtLXSL^ivcov. rjxd^coCav icpaTttoiisvai aC ^E, ^Z, xal i7tst,sv%%co r] EZ xaC, sl dvvatov, ^rj iQxi^d^co dLa tdov K, H, 25 aAA' 7]toL dLa tov stiQOv rj dt' ovdstiQOv [tj^sl']. sl [iLsv dLa tov H ybovov, ovx k6taL rj /IB tf] BK i'6r], «AA' stiQcc' oTtsQ dtOTtov. sl 6s dLa ^ovov tov Ky 1. K, HJ cv, euan. Y; H, K ^. 7. icpantoiJLSvri] p, icpaTtTOfifvai V. 20. K, HJ H, K Y , K, B ^; corr. Comm 21. ctt] p, om. V. 25. ritoi] p, 7]toL rj Y. tj^sl] deleo.
CONICORUM LIBER IV. 35 dico, rectam per puncta K, H ductam cum sectione concurrere parallelamque esse asymptotae, in qua sit punctum ^, rectamque a puncto concursus ad z/ ductam sectionem contingere. ^ ducatur enim contingens z^Z, et a Z recta ducatur parallela asymptotae, in qua est punctum ^; ea igitur per Kj H ueniet. nam si minus, absurda, quae antea l diximus, euenient [III, 36]. XXII. lam eodem modo sint propositae sectiones oppositae asymptotaeque, et punctum z/ eodem modo^) sumatur, et r^® sectiones secans, z/J3 autem alteri asymptotae parallela, sitque rJ:J@ = rH: H@, et BK = ^B. dico, rectam per K, H ductam cum utraque opposita concurrere, et rectas a punctis concursus ad ^ ductas oppositas contingere. ducantur contingentes ^E, z/Z, ducaturque EZ et, • si fieri potest, per K, H ne cadat, sed aut per al- 1) Hic aliqmd turbatum est; nam punctum zf in angulo deinceps posito positum esse necesse est, et ita in figura codicis V est. quare Memus ceterique hoc in uerbis Apollonii addiderunt {xo J Grjfistov sv t^ iq^s^ijg yaviK xri vno tcav cc6vu,ntc6tcov nsQLSXofisvfjg, oiioLcog Halley). 3*
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34 KSiNIKSiN S\<br />
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rfi to^rj xal TCaQccXlrjXog s0taL tfj d6v^7tt(6t(p, scp^ rjg<br />
s0ti tb z/ arj^stov, xal<br />
rj aTcb trjg dv^Tttcoascag<br />
5 iTcl tb A dyo\iivr\ scpdil^stat<br />
trjg to ^rjg,<br />
i^Xd-cj ydg icpajtto-<br />
^ivr} rj z/Z, Kal ditb<br />
Tov Z TtaQcc trjv d6v[i'<br />
10 Tttotov, icp* rjg i6ti<br />
t6 z/, rii^-co svd-sta'<br />
7]^SL drj did tcjv K, H. sl yaQ ^lhJ, td jtQotSQOv slQrj'<br />
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15 "E0tGi0av drj o^OLcog aC dvtLKSL^svaL xal au dcv^-<br />
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fihv r^@ ti^vov6a tdg tofidg, rj dh ^B TtaQaXXrjXog<br />
tfj stiQcc tcov davfiTttdtcov, xal s6ta), ag rj F/l TtQbg z/0,<br />
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1. K, HJ cv, euan. Y; H, K ^. 7. icpantoiJLSvri] p, icpaTtTOfifvai<br />
V. 20. K, HJ H, K Y , K, B ^; corr. Comm<br />
21. ctt] p, om. V. 25. ritoi] p, 7]toL rj Y. tj^sl] deleo.
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