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Each cubic is listed under its catalogue number Knnn which is at the same time a link to a description and usually a figure. A list of triangle centers on the curve is provided, either from Clark Kimberling's Encyclopedia of Triangle Centers (centers X(i)) or from Edward Brisse's lists (centers E(i)). Other points will be found in each corresponding page.

As these lists of centers E(i) are not updated anymore, the points E(i) will be gradually removed from CTC and a table of ETC equivalents is given below. You might still find them in the figures. In any case, I would like to express my gratitude and thanks to Edward Brisse for our fruitful past cooperation.

A link of the form CLnnn refers to a class of cubics and Qnnn to a higher degree related curve.

Knnn-A, Knnn-B, Knnn-C refer to the members of a triad of cubics, Knnn-a, Knnn-b to the members of a diad of cubics.

The cubics names written in CAPITAL LETTERS are those with commonly accepted names. The other names are of my own choice.

Catalogue Files

Part 1 : Cubics K001-K280 | Part 2 : Cubics K281-K560 | Part 3 : Cubics K561-K840

Part 4 : Cubics K841-K1120 | Part 5 : Cubics K1121-

Search Files by Peter Moses

last update : 2024-10-30

ETC centers on CTC cubics | ETC centers on CTC related curves

CTC cubics on ETC centers | CTC related curves on ETC centers

CTC cubics and various triangles | Various points on CTC cubics and related curves

E(i) equivalents in ETC

As usual, the prefixes g, t, c, a, i refer to isogonal, isotomic, complement, anticomplement, inverse in the circumcircle respectively.

E(9)=X(3098)

E(216)=X(14627)

E(227)=X(11284)

E(233)=X(3518)

E(258)=X(3524)

E(262)=X(3146)

E(263)=X(3534)

E(269)=X(3830)

E(280)=X(3627)

E(368)=X(1141)

E(369)=X(1989)

E(370)=X(1990)

E(371)=X(11057)

E(374)=X(7757)

E(375)=X(11055)

E(379)=X(14354)

E(380)=X(1117)

E(382)=X(3343)

E(387)=X(11058)

E(388)=X(1511)

E(389)=X(1157)

E(390)=X(1263)

E(398)=X(9979)

E(401)=X(14355)

E(402)=X(14356)

E(403)=X(14357)

E(404)=X(14246)

E(406)=X(6593)

E(412)=X(13855)

E(441)=X(4555)

E(456)=X(3465)

E(457)=X(3464)

E(458)=g X(368)

E(461)=g X(369)

E(462)=X(3232)

E(466)=i X(370)

E(473)=X(14712)

E(487)=X(3563)

E(488)=X(9076)

E(504)=X(7473)

E(506)=X(1154)

E(507)=X(3564)

E(518)=X(2383)

E(530)=X(3413)

E(531)=X(3414)

E(534)=X(14630)

E(535)=X(3558)

E(538)=X(14631)

E(539)=X(3557)

E(544)=X(3484)

E(546)=X(3065)

E(548)=X(3183)

E(549)=X(3346)

E(550)=X(3345)

E(551)=X(3348)

E(553)=X(3344)

E(555)=X(8946)

E(556)=X(8948)

E(558)=X(3440)

E(559)=X(3441)

E(560)=X(3489)

E(561)=X(3490)

E(562)=X(3466)

E(563)=X(7164)

E(566)=X(3224)

E(567)=X(14358)

E(568)=X(14359)

E(569)=X(1168)

E(570)=X(6094)

E(571)=X(3438)

E(572)=X(3439)

E(574)=X(5627)

E(575)=X(10415)

E(584)=X(3519)

E(585)=X(14711)

E(591)=X(2373)

E(593)=X(5562)

E(596)=X(14628)

E(597)=X(14629)

E(618)=X(11061)

E(620)=X(14360)

E(621)=X(1300)

E(623)=X(5932)

E(624)=X(14361)

E(625)=X(14362)

E(626)=X(14363)

E(627)=X(3350)

E(628)=X(6671)

E(629)=X(6672)

E(630)=X(3341)

E(634)=X(14364)

E(635)=X(13574)

E(636)=X(14365)

E(638)=X(14366)

E(639)=X(14367)

E(640)=X(14368)

E(641)=X(14369)

E(642)=ct X369

E(643)=ig X370

E(644)=X(14709)

E(645)=X(14710)

E(657)=X(14370)

E(659)=X(13754)

E(664)=X(14371)

E(665)=X(3349)

E(668)=X(3342)

E(673)=X(2930)

E(676)=X(6328)

E(677)=X(11584)

E(678)=X(14372)

E(679)=X(14373)

E(681)=X(14374)

E(682)=X(14375)

E(697)=X(5539)

E(698)=X(2143)

E(699)=X(7315)

E(700)=X(2142)

E(759)=X(5667)

E(908)=X(14376)

E(909)=X(8743)

E(910)=X(14377)

E(911)=X(3730)

E(912)=X(14378)

E(913)=X(14247)

E(914)=X(6337)

E(915)=X(14248)

E(935)=X(1147)

E(936)=X(14379)

E(937)=X(14249)

E(991)=X(14380)

E(992)=X(14381)

E(993)=X(14250)

E(994)=X(14382)

E(995)=X(14251)

E(996)=X(14383)

E(997)=X(14252)

E(998)=X(14384)

E(999)=X(14253)

E(1000)=X(14385)

E(1001)=X(14254)

E(1002)=X(14386)

E(1003)=X(14255)

E(1008)=P(4)

E(1009)=gP(4)

E(1010)=U(4)

E(1011)=gU(4)

E(1040)=X(14387)

E(1120)=X(5671)

E(1121)=X(8487)