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Cubics K281-K560

updated lists of centers are available


K281 TC(X182), a Thomson centroidal cubic, spK(X2, X597)

X(2), X(6), X(182), X(996), X(1001), X(1344), X(1345), X(4846), X(5967)

K282 pK(X6, X597)

X(1), X(2), X(6), X(597)

K283 pK(X1383, X598)

X(2), X(4), X(6), X(598), X(1383), X(1992), X(1995)

K284 pK(X574, X2)

X(2), X(3), X(6), X(574), X(599), X(5094), X(5486)

K285 nK(X32, X3573, X1), cK(#X6, X3573)

X(1), X(2), X(6), X(31), X(32), X(869), X(985), X(2319)

K286 nK(X2, X874, X1), cK(#X2, X874)

X(1), X(2), X(6), X(75), X(76), X(870), X(984), X(1423)

K287 Thomson-Brocard central cubic, a central cubic through the foci of the Steiner in-ellipse, spK(X6, X2)

X(2), X(6), X(599)

K288 Gigha cubic, K(X4) in CL051, a nodal cubic with node H

X(4), X(67), X(98), X(858), X(1503)

K289 Canna cubic, a nodal cubic with node H

X(4), X(23), X(511), X(895), X(1337), X(1338), X(1916), X(3557), X(3558), X(3563)

K290 O(X39) orthopivotal cubic

X(13), X(14), X(15), X(16), X(39), X(76), X(538), X(755)

K291 O(X32) orthopivotal cubic

X(13), X(14), X(15), X(16), X(32), X(83), X(729), X(754)

K292 O(X182) orthopivotal cubic

X(13), X(14), X(15), X(16), X(98), X(182), X(542), X(5980), X(5981)

K293a O(X3414) = O(X1379*) orthopivotal axial cubic

X(13), X(14), X(3413)

K293b O(X3413) = O(X1380*) orthopivotal axial cubic

X(13), X(14), X(3414)

K294 pK(X56, X241)

X(1), X(9), X(57), X(105), X(241), X(269), X(292), X(509), X(910), X(1279), X(1447), X(2114)

K295 TC(X2), a Thomson centroidal cubic, K(X2), a Lemoine generalized cubic

X(2), X(4), X(145), X(263), X(957), X(1992), X(5967)

K296 nK0(X2, X514) = cK0(#X2, X514)

X(2), X(291), X(350), X(447), X(519), X(903)

K297 a nodal cubic with node K, isogonal transform of K295

X(3), X(6), X(183), X(956), X(1344), X(1345), X(3445), X(5968)

K298 DF(X23), a Droz-Farny cubic

X(4), X(6), X(23), X(30), X(671), X(842)

K299 DF(X100), a Droz-Farny cubic

X(4), X(100), X(190), X(528), X(664), X(671), X(1156), X(1320)

K300 Droz-Farny cubic with focus X(671)

X(4), X(6), X(23), X(262), X(265), X(381), X(511), X(576), X(671)

K301 Droz-Farny cubic with focus X(4), K(X115) in CL051,

X(4), X(67), X(98), X(115), X(265), X(542), X(671), X(3448)

K302 Droz-Farny cubic with focus X(23)

X(3), X(4), X(6), X(23), X(98), X(542), X(671), X(2080), X(3455)

K303a DF(X15), a Droz-Farny cubic

X(4), X(14), X(15), X(531), X(671), X(1337), X(2378), X(5614)

K303b DF(X16), a Droz-Farny cubic

X(4), X(13), X(16), X(530), X(671), X(1338), X(2379), X(5610)

K304 isodynamic Droz-Farny cubic

X(2), X(4), X(15), X(16), X(524), X(576), X(671), X(1263)

K305 DF(X511), a Droz-Farny cubic

X(4), X(262), X(316), X(511), X(671), X(842), X(6054)

K306 psK(X759, X14616, X4), a circular cubic

X(4), X(21), X(58), X(80), X(758), X(759), X(1325)

K307 psK(X51, X2, X6)

X(6), X(53), X(216), X(1249)

K308 pK(X1, X8), TC(X40) a Thomson centroidal cubic

X(1), X(2), X(8), X(40), X(57), X(144), X(189), X(366), X(3062)

K309 Lucas-Ehrmann equilateral cubic, spK(X3, X8703), a stelloid

X(3), X(4), X(376), X(1340), X(1341)

K310 Lucas-Ehrmann central cubic


K311 Parry cubic, pK(X2, X320)

X(2), X(7), X(8), X(80), X(320), X(369), X(519), X(903), X(908), X(3232), X(6224), X(8046), X(30578), X(34234), X(36917), X(36918)

K312 pK(X32, X36)

X(6), X(36), X(55), X(56), X(106), X(902), X(909), X(2183), X(3196), X(6187)

K313 Darboux-Lucas circular cubic, orthopivotal cubic O(X20)

X(4), X(13), X(14), X(20), X(30), X(1294), X(3638), X(3639), X(6053)

K314 TC(X6), a Thomson centroidal cubic, a central cubic, spK(X2, X6)

X(2), X(6), X(1992)

K315 TC(X376), a Thomson centroidal cubic, a central cubic

X(2), X(4), X(376)

K316 pK(X6, X110)

X(1), X(5), X(54), X(110), X(523), X(1113), X(1114), X(2574), X(2575), X(3737), X(4551)

K317 pK(X81, X86)

X(1), X(2), X(7), X(21), X(29), X(77), X(81), X(86)

K318 pK(X1333, X21)

X(1), X(3), X(21), X(28), X(56), X(58), X(84), X(1394), X(2360)

K319 pK(X1333, X81)

X(1), X(6), X(57), X(58), X(81), X(222), X(284), X(1172), X(1433), X(3194)

K320 pK(X593, X261)

X(2), X(28), X(56), X(58), X(81), X(86), X(261), X(593), X(1444), X(2975), X(4225)

K321 pK(X5019, X2)

X(2), X(3), X(6), X(56), X(478), X(940), X(958), X(2221), X(4185), X(5019)

K322 pK(X1916, X694), Kiepert Cevian Mate of the Brocard (fourth) Cubic

X(2), X(76), X(141), X(257), X(297), X(335), X(384), X(385), X(694), X(698), X(1916), X(2998)

K323 pK(X1, X239)

X(1), X(2), X(6), X(75), X(239), X(291), X(366), X(518), X(673), X(1575), X(2319), X(2669), X(3212), X(3226), X(7061), X(8301), X(9278)

K324 nK0(X1, X239)

X(1), X(2), X(190), X(513)

K325 nK0(X6, X512)


K326 Brocard (tenth) cubic, pK(X6, X39)

X(1), X(39), X(83)

K327 Tucker-Poncelet cubic, nK(X2, X2, ?)


K328 pK(X1, X10)

X(1), X(2), X(10), X(81), X(191), X(366), X(1029), X(1654)

K329 pK(X1249, X4)

X(4), X(20)

K330 a circular cubic through the points Ua, Ub, Uc

X(2), X(3), X(67), X(187), X(3098), X(11057)

K331 a circular cubic through the points Ua, Ub, Uc


K332 pK(X1, X329)

X(7), X(9), X(84), X(329), X(366), X(1490), X(1659)

K333 pK(X223, X7)

X(1), X(7), X(40), X(57), X(329), X(347)

K334 pK(X14571, X4), an antigonal pK

X(1), X(4), X(46), X(80), X(119), X(517), X(915), X(1785), X(1845), X(6098)

K335 pK(X14908, X14909), an axial pK+


K336 pK(X248, X98) = iK(X98), an inversible pK

X(3), X(98), X(485), X(486), X(1687), X(1688), X(2065), X(3564), X(5000), X(5001)

K337 pK(X232, X4), an antigonal pK

X(4), X(114), X(371), X(372), X(511), X(2009), X(2010), X(3563), X(5000), X(5001)

K338 pK(X44, X8)

X(1), X(8), X(40), X(104), X(519), X(1145), X(1319), X(1339)

K339 pK(X3003, X4)

X(3), X(4), X(131), X(155), X(265), X(403), X(1299), X(1986), X(13754)

K340 pK(X1333, X1325)

X(3), X(28), X(36), X(60), X(65), X(267), X(501), X(759), X(1325), X(2948)

K341a pK(X15, X2)

X(2), X(3), X(6), X(13), X(15), X(18), X(298), X(470), X(1082), X(2992), X(5240)

K341b pK(X16, X2)

X(2), X(3), X(6), X(14), X(16), X(17), X(299), X(471), X(559), X(2993), X(5239)

K342a pK(X300, X300)

X(2), X(13), X(76), X(264), X(298), X(300), X(303), X(621)

K342b pK(X301, X301)

X(2), X(14), X(76), X(264), X(299), X(301), X(302), X(622)

K343 pK(X6, X63)

X(1), X(9), X(19), X(40), X(57), X(63), X(84), X(610), X(1712), X(2184)

K344 pK(X81, X8822)

X(7), X(20), X(21), X(27), X(63), X(84), X(8822)

K345 pK(X37, X2)

X(1), X(2), X(9), X(10), X(37), X(226), X(281), X(1214)

K346 pK(X1501, X6)

X(6), X(25), X(31), X(32), X(41), X(184), X(604), X(2199), X(3172)

K347 pK(X14572, X253)

X(2), X(253), X(3146), foci of the Steiner circum-ellipse

K348 nK0(X253, X14638)

X(2), X(253), foci of the Steiner circum-ellipse

K349 pK(X2965, X3)

X(3), X(61), X(62), X(3442), X(3443), X(3518)

K350 Thomson Orthic cubic, pK(X3199, X4)

X(4), X(5), X(6), X(25), X(51), X(52), X(53)

K351 pK(X6, X9)

X(1), X(9), X(57), X(165), X(364), X(2124), X(2125), X(3062)

K352 Mandart-Steiner focal cubic, nK(X6, X522, X9), spK(X527, X2)

X(9), X(57), X(527), X(2291), X(8072), X(8073), X(32622), X(32623)

K353 Steiner in-elliptic cubic, spK(X385, X2)

X(2), X(6), X(262), X(511), X(574), X(671), X(694), foci of the Steiner in-ellipse

K354 pK(X694, X1916)

X(2), X(4), X(6), X(39), X(256), X(291), X(511), X(694), X(1432), X(1916), X(3978), X(4876)

K355 pK(X2, X511)

X(2), X(4), X(69), X(290), X(385), X(401), X(511), X(1916), X(1972)

K356 pK(X3978, X76)

X(2), X(69), X(76), X(290), X(308), X(350), X(385), X(694), X(695), X(732), X(1909), X(3978), X(5976)

K357 pK(X511, X2)

X(2), X(3), X(6), X(290), X(297), X(325), X(511), X(694), X(2009), X(2010), X(5976)

K358 Steiner equilateral cubic, spK(X3, X2), a stelloid

X(3), X(4), X(381), foci of the Steiner in-ellipse

K359 Brocard strophoid, nK(X6, X665, X1), cK(#X1, X665), spK(X14839, X1)

X(1), X(1083), X(3110), X(5091)

K360 K(X1), a Lemoine generalized cubic, psK(X56, X7, X1), spK(X8, X1)

X(1), X(4), X(56), X(145), X(218), X(279), X(1433)

K361 isogonal transform of K026, locus of pivots of circumnormal pKs, psK(X54, X95, X3), spK(X5, X140)

X(3), X(4), X(54), X(1342), X(1343), X(14371)

K362 pK(X213, X1)

X(1), X(6), X(33), X(37), X(42), X(55), X(65), X(73), X(2331)

K363 pK(X1, X2)

X(1), X(2), X(7), X(9), X(366), X(1489), X(3160)

K364 pK(X6, X14516), a cubic related to perspective triangles

X(1), X(5), X(20), X(24), X(54), X(64), X(68), X(155), X(254), X(2917)

K365 pK(X57, X7)

X(1), X(2), X(7), X(57), X(145), X(174), X(1488), X(2089)

K366 pK(X321, X75)

X(2), X(8), X(10), X(75), X(307), X(318), X(321), X(1441)

K367 pK(X669, X6)

X(6), X(110), X(512), X(3124)

K368 pK(X3051, X6)

X(2), X(6), X(39), X(194), X(3051)


X(2), X(6), X(30), X(698), X(3070), X(3071)

K370 Steiner axes cubic

X(99), X(671)

K371 pK(X2, X11055)

X(2), X(11055)

K372 pK(X37, X145)

X(1), X(10), X(145), X(2136)

K373 pK(X14533, X54)

X(3), X(54), X(96), X(1147)

K374 pK(X50, X1511)

X(74), X(1511)

K375 pK(X18881, X18880), equilateral pK of the class CL043, a pK60


K376 Orthocubic's sister as in Table 58, psK(X25, X2, X3), spK(X20, X3)

X(3), X(4), X(64)

K377 isotomic McCay cubic, pK(X2, X14558)

X(2), X(14557)

K378 locus of poles of circumnormal pKs, psK(X14573, X54, X6)


K379 pK(X1169, X14534)

X(2), X(4), X(6), X(21), X(58), X(81), X(572), X(961), X(1169), X(1220), X(1798), X(2298), X(14534)

K380 pK(X1976, X98)

X(2), X(4), X(6), X(98), X(237), X(248), X(385), X(1687), X(1688), X(1976)

K381 cK(#X6, X523)

X(6), X(50), X(67), X(524), X(1989), X(1990)

K382 ETC cubic

X(1), X(2), X(3), X(4), X(6), X(7), X(354), X(672), X(955), X(991), X(5728), X(14547), X(14548), X(14549)

K383 Thomson cK sister, nK(X6, X14543, X1), cK(#X1, X14543)

X(1), X(2), X(3), X(4), X(6), X(3945)

K384 nK(X6, X14544, X2)

X(2), X(3), X(4), X(6), X(9), X(40), X(57), X(84), X(14550) X(14551) X(14552) X(14553)

K385 nK(X6, X14546, X2)

X(2), X(3), X(4), X(6), X(7), X(55), X(672), X(673), X(942), X(943)

K386 nK(X6, X14545, X2)

X(2), X(3), X(4), X(6), X(8), X(56), X(104), X(517), X(1193), X(1220)

K387 a GOHK cubic of Table 30

X(2), X(3), X(4), X(6), X(8), X(9), X(57), X(392), X(957), X(1193), X(2183), X(3057), X(4266), X(14554), X(14555), X(14556), X(14557)

K388 Kosnita pivotal cubic, pK(X571, X7488)

X(3), X(24), X(52), X(54), X(2917), X(3432)

K389 Kosnita nodal cubic

X(3), X(24), X(64), X(155), X(2353), X(3053), X(3435)

K390 pK(X50, X6)

X(6), X(15), X(16), X(323), X(2981), X(3170), X(3171), X(5353), X(5357), X(6151)

K391 Moses cubic, psK(X2333, X4, X6)

X(6), X(10), X(19), X(46), X(55), X(65), X(209), X(1824)

K392 pK(X523, X115), a cubic having a pencil of circular polar conics

X(99), X(115)

K393 nK0+(X1990, X4), a cubic having a pencil of circular polar conics


K394 Tripolar centroidal circular cubic

X(2), X(67), X(98), X(524)

K395 Tripolar centroidal equilateral cubic


K396 nK(X11060, X1989, X6), equilateral nK0+ pole cubic

X(6), X(523), X(1989), X(9178), X(14559), X(14560)

K397 nK(X6, X30, X2), cubic related to equilateral nK0+ cubics and orthopivotal nK0 cubics

X(2), X(6), X(110), X(523), X(5967), X(5968)

K398 nK0++(X690, X543), a central cubic

X(2), X(523), X(524), X(690)

K399 nK0++(X900, X545), a central cubic

X(2), X(514), X(519), X(900)

K400a nK0++(X3413, X3414), Steiner (first) central cubic

X(2), X(3413)

K400b nK0++(X3414, X3413), Steiner (second) central cubic

X(2), X(3414)

K401 Lucas central cubic

X(3), X(4), X(20), X(72), X(185), X(1071), X(5562)

K402 locus of poles of CircumTangential pKs, psK(X14574, X110, ?)


K403 locus of pivots of CircumTangential pKs, psK(X110, X99, ?)


K404 nK0(X924, X323), a CircumNormal nK0


K405 McCay-Lemoine cubic, a CircumNormal cubic, spK(X20, X550), McCay cubic's sister as in Table 58

X(3), X(4), X(64), X(1676), X(1677)

K406 cK(#X4, X2), nK(X393, X2, X4)

X(4), X(877), X(4240)

K407 cK(#X1, X57), nK(X6, X57, X1)

X(1), X(23703), X(23704), X(23705), X(23706), X(23838)

K408 cK(#X2, X1992), nK(X2, X1992, X2)

X(2), X(4235)

K409 nK(X32, X2, ?)


K410 pK(X6, X194)

X(1), X(194), X(3224)

K411 pK(X14575, X32)

X(3), X(32)

K412 Kc'(X4), spK(X3, X5892), a stelloid

X(2), X(4), X(5), X(51), X(262)

K413 pK(X233, X3), a pK++, a central cubic

X(3), X(5), X(140)

K414 pK(X6, X40), Excentral Orthocubic

X(1), X(40), X(84), X(164), X(505), X(2956), X(3645), X(6212), X(6213)

K415 pK(X14576, X4), Orthic Orthocubic

X(4), X(5), X(24), X(52), X(371), X(372), X(2904)

K416 pK(X14577, X4), Orthic Napoleon cubic

X(4), X(5), X(52), X(61), X(62), X(143), X(2912), X(2913), X(3518)

K417 a focal cubic

X(1), X(4), X(61), X(62), X(147), X(185), X(194), X(511), X(1046), X(2651), X(3491), X(5668), X(5669)

K418 a strophoid with node O

X(3), X(468), X(511), X(1155), X(6036)

K419a Kiepert Cevian Mate of the Neuberg Cubic, pK(X13, X11078)

X(2), X(13), X(14), X(30), X(298), X(395), X(472), X(1081)

K419b Kiepert Cevian Mate of the Neuberg Cubic, pK(X14, X11092)

X(2), X(13), X(14), X(30), X(299), X(396), X(473), X(554)

K420a Kiepert Cevian Mate of the Napoleon Cubic, pK(X14, X8836)

X(2), X(5), X(14), X(18), X(302), X(395), X(471), X(8836), X(10218)

K420b Kiepert Cevian Mate of the Napoleon Cubic, pK(X13, X8838)

X(2), X(5), X(13), X(17), X(303), X(396), X(470), X(8838), X(10217)

K421 pK(X3407, X14617), Kiepert Cevian Mate of the Brocard (fourth) Cubic

X(2), X(6), X(83), X(384), X(458), X(1031), X(3114), X(3329), X(3407), X(2275)*, X(2276)*

K422 pK(X6, X5999)

X(1), X(3), X(4), X(98), X(147), X(182), X(262), X(511), X(5999)

K423 pK(X6, X3329), Kiepert AntiCevian Mate of K020 and K422

X(1), X(2), X(6), X(39), X(83), X(182), X(262), X(3329)

K424a pK(X6, X3068), Kiepert AntiCevian Mate of the Orthocubic

X(1), X(2), X(6), X(371), X(485), X(493), X(3068)

K424b pK(X6, X3069), Kiepert AntiCevian Mate of the Orthocubic

X(1), X(2), X(6), X(372), X(486), X(494), X(3069)

K425 Quang Tuan Bui cubic, a generalized Lucas cubic in Table 33, a central cubic

X(4), X(20), X(3146)

K426 a central cubic, the complement of K425, psK(X154, X2, X3), spK(X3146, X4)

X(3), X(4), X(20), X(3532)

K427 a generalized Lucas cubic in Table 33, a circular cubic

X(4), X(30), X(265), X(382), X(1539)

K428 pK(X32, X18882), a pK60


K429 a cevian nodal cubic with node K, psK(X1974, X4, X6)

X(6), X(66), X(193), X(393), X(571), X(608), X(1974), X(2911)

K430 pK(X32, X21)

X(1), X(3), X(6), X(21), X(25), X(31), X(37), X(1333), X(1402), X(2217), X(3185)

K431 pK(X32, X28)

X(3), X(6), X(19), X(25), X(28), X(48), X(65), X(228), X(2194), X(2218), X(2352)

K432 pK(X32, X1580)

X(1), X(6), X(31), X(75), X(560), X(1403), X(1580), X(1755), X(1910), X(1967), X(2053)

K433 nK(X6, X850, X3), K(X32) in CL051, a focal cubic

X(3), X(4), X(23), X(32), X(67), X(76), X(98), X(511)

K434 pK(X6, X1770)

X(1), X(35), X(46), X(79), X(90), X(191), X(267), X(1717), X(1770), X(1780)

K435 isogonal transform of K063, a central focal cubic

X(2), X(15), X(16), X(187), X(352), X(524), X(843)

K436 pK(X14578, X104), iK(X14578), an inversible cubic

X(1), X(3), X(36), X(90), X(104), X(912), X(1795)

K437 Grebe nodal cubic

X(6), X(37), X(570), X(3589)

K438a pK(X19294, X616), a Neuberg cubic

X(15), X(16), X(532), X(616), X(618), X(8491), X(14368), X(15784)

K438b pK(X19295, X617), a Neuberg cubic

X(15), X(16), X(533), X(617), X(619), X(8492), X(14369), X(15785)

K439 pK(X14579, X1263)

X(4), X(15), X(16), X(54), X(140), X(1263), X(2070), X(3459)

K440 a circular K+, isogonal transform of K937 = O(X5012)

X(4), X(15), X(16), X(316), X(511), X(842), X(1263), X(2009), X(2010), X(3613)

K441 a circular cubic, isogonal transform of K938 = O(X1993)

X(4), X(6), X(15), X(16), X(111), X(1263), X(2079), X(2165), X(3564), X(5504), X(5523)

K442 O(X69), an orthopivotal cubic

X(2), X(13), X(14), X(69), X(524), X(2373)

K443 K(X3) in "Cubics Related to Coaxial Circles" or K2(X20) in "Cubics Related to Radical Axes", a central cubic, psK(X3, X69, X3), spK(X4, X3)

X(3), X(4), X(20)

K444 K(X32) in "Cubics Related to Coaxial Circles", psK(X32, X6, X4)

X(4), X(32), X(194), X(14251), X(32544), X(32545), X(32546)

K445 Clawson cubic, pK(X2207, X4)

X(4), X(6), X(19), X(25), X(33), X(34), X(64), X(208), X(393)

K446 psK(X1495, X2, X3), a member of the pencil K001- K187, a circular cubic

X(3), X(4), X(30), X(74), X(133), X(1511)

K447 psK(X74, X1494, X3), a member of the pencil K001- K187, a circular cubic

X(3), X(4), X(30), X(74), X(5627)

K448 Neuberg axial cubic, a member of the pencil K001- K187, an axial circular cubic

X(3), X(4), X(30), X(74)

K449 anticomplement of K446, a circular cubic

X(4), X(20), X(30), X(146), X(265), X(1138), X(1294)

K450 an axial orthopivotal cubic

X(13), X(14), X(98), X(542)

K451 an axial orthopivotal cubic

X(13), X(14), X(690)

K452 O(X1992), orthopivotal cubic

X(2), X(13), X(14), X(468), X(524), X(1992)

K453 pK(X44, X2)

X(1), X(2), X(9), X(44), X(80), X(88), X(214), X(519), X(3911), X(4370)

K454 pK(X9456, X88)

X(1), X(6), X(36), X(44), X(57), X(88), X(106), X(1168), X(1465), X(2226), X(2316)

K455 pK(X2, X319)

X(2), X(7), X(8), X(10), X(79), X(86), X(319), X(1029), X(2895), X(3648)

K456-A-B-C a triad of axial cubics


K457 cK(#X1, X2617)

X(1), X(19), X(63), X(3375), X(3376), X(3377), X(3378), X(3383), X(3384), X(3400), X(3401), X(3402), X(3403), X(3404), X(3405), X(3408), X(3409)

K458 Brocard-Kiepert cubic, an acnodal cubic with node X(5)

X(2), X(5), X(6), X(13), X(14), X(15), X(16), X(3070), X(3071), X(5103)

K459 Brocard-Kiepert midpoint cubic, an acnodal cubic with node X(39)

X(5), X(39), X(395), X(396), X(511), X(597), X(3413), X(3414)

K460 Kiepert cuspidal cubic

X(2), X(524), X(623), X(624), X(1352), X(3413), X(3414)

K461 Steiner nodal cubic

X(3), X(8), X(3146), X(5895)

K462 an acnodal cubic with node X(20)

X(20), X(5592)

K463 Kiepert focal cubic

X(2), X(3), X(15), X(16), X(30), X(110), X(5463), X(5464)

K464 a focal cubic

X(4), X(5), X(54), X(143), X(195), X(265), X(1154), X(1263), X(2070)

K465 Johnson central cubic, a central focal cubic

X(3), X(4), X(5), X(1154), X(1157), X(1263)

K466 a focal cubic, isogonal transform of K465

X(3), X(4), X(54), X(1141), X(1157), X(1263), X(2070)

K467 a focal cubic, isogonal transform of K464, inverse of K466

X(3), X(5), X(54), X(186), X(252), X(1141), X(1157), X(3459)

K468 isodynamic Napoleon circular cubic, isogonal transform of K062

X(15), X(16), X(17), X(18), X(95), X(98), X(125), X(182), X(5965)

K469 isodynamic Napoleon cubic

X(3), X(4), X(15), X(16), X(17), X(18), X(54), X(140), X(195), X(1263)

K470 isogonal transform of K469

X(3), X(4), X(5), X(13), X(14), X(61), X(62), X(1157), X(1173), X(3459)

K471 isodynamic Napoleon cubic

X(2), X(6), X(15), X(16), X(17), X(18), X(24), X(54), X(140)

K472 pK(X30, X2)

X(2), X(13), X(14), X(30), X(1494), X(3163)

K473 isogonal transform of K302, K(X187) in CL051

X(2), X(3), X(4), X(67), X(187), X(316), X(511), X(842)

K474 K(X3) in CL051

X(3), X(4), X(67), X(315), X(511), X(858), X(1297), X(2009), X(2010), X(6328)

K475 pK(X14580, X4), K(X25) in CL051

X(4), X(6), X(25), X(67), X(111), X(858), X(1560), X(2393), X(5523)

K476 nK(X8791, X8791, X4), K(X523) in CL051

X(4), X(67), X(523), X(879), X(935)

K477 Droussent focal cubic, locus of foci of focal cubics K(Q) in CL051

X(2), X(4), X(30), X(67), X(98), X(316), X(1352), X(4846), X(7737)

K478 pK(X32, X468), related to CL051

X(3), X(6), X(25), X(67), X(468)

K479 K(X30) in CL051, O(X858) orthopivotal cubic

X(4), X(13), X(14), X(30), X(67), X(858), X(2697), X(4846)

K480 K(X2079) in CL051, a K+

X(4), X(67), X(136), X(1263), X(1560), X(2079), X(3563), X(5504)

K481 K(X5475) in CL051, a focal cubic

X(2), X(4), X(67), X(265), X(316), X(542), X(5475)

K482 K'(X99) in CL051,

X(6), X(67), X(99), X(110), X(111), X(1634), X(2482), X(4558), X(6189), X(6190)

K483 K'(X115) in CL051,

X(6), X(67), X(111), X(115), X(248), X(1989), X(2482), X(6103)

K484 K'(X148) in CL051,

X(6), X(67), X(111), X(148), X(1084), X(2482), X(2854), X(3228)

K485 pK(X14537, X2), complement of K092, a pK60, PΩe–transform of K092

X(2), X(11058), X(14537)

K486 PΩe–transform of the Lemoine cubic K009, a nodal cubic

X(6), X(53), X(2965), X(3629)

K487 PΩe–transform of K330

X(2), X(6), X(67), X(187), X(11058)

K488 Ke(X50) in CL052

X(3), X(30), X(50), X(66), X(74), X(1272), X(3098), X(11058)

K489 pK(X3003, X2), see CL053

X(2), X(3), X(6), X(74), X(113), X(403), X(1989), X(3003), X(3580)

K490 pK(X393, X14165), see CL053

X(2), X(4), X(393), X(403), X(1138), X(1300), X(1989), X(1990)

K491 pK(X1989, X18883), see CL053

X(2), X(5), X(254), X(403), X(1141), X(1989), X(2006), X(2165)

K492 a nodal cubic , see CL053

X(2), X(98), X(230), X(403), X(1989)

K493 nK(X25, X14618, X2), a cubic of CL053

X(2), X(25), X(98), X(184), X(186), X(232), X(1989), X(2052)

K494 nK(X3, X850, X6), isogonal transform of K493

X(6), X(69), X(264), X(265), X(287), X(323), X(511), X(577)

K495 pK(X32, X30), see CL053

X(3), X(6), X(25), X(30), X(50), X(399), X(1989)

K496 pK(X14581, X4), see CL053

X(4), X(6), X(25), X(30), X(74), X(113), X(1495), X(1989), X(1990)

K497 pK(X11060, X265), see CL053

X(5), X(6), X(25), X(30), X(64), X(265), X(1411), X(1989)

K498 a cubic of CL053

X(1), X(6), X(42), X(519), X(1411), X(1989), X(2192), X(2361)

K499 pK(X323, X69), isogonal of K497

X(2), X(20), X(54), X(69), X(74), X(186), X(323), X(1273), X(1442), X(1443), X(4420), X(4511), X(6148)

K500 pK(X50, X1993), isogonal of K491

X(6), X(54), X(155), X(323), X(1154), X(1986), X(1993), X(2003), X(2323), X(5504)

K501 nK0(X1989, X14582), a nK60, see CL054

X(13), X(14), X(98), X(14356)

K502 pK(X6, X14389), Ke1(X5) a cubic of CL054

X(1), X(2), X(5), X(6), X(54), X(378), X(4846)

K503 Ke1(X1495) a cubic of CL054

X(2), X(6), X(67), X(98), X(184), X(323), X(1495), X(3431)

K504 nK(X381, X850, X2), isogonal of K503

X(2), X(6), X(23), X(264), X(381), X(511), X(1494), X(1989), X(5158)

K505 nK(X6, X14611, X2)

X(2), X(6), X(13), X(14), X(15), X(16), X(30), X(74), X(378), X(3580), X(4846)

K506 nK(X6, X14612, X2)

X(2), X(6), X(7), X(8), X(21), X(55), X(56), X(65), X(672), X(673), X(1193), X(1220), X(4185)

K507 nK(X6, X14613, X2)

X(2), X(6), X(31), X(32), X(39), X(75), X(76), X(83), X(2276)

K508 Fermat focal Psi-cubic

X(2), X(13), X(14), X(15), X(16), X(30), X(98), X(476), X(1316)

K509 Kiepert strophoid

X(2), X(13), X(14), X(125), X(543), X(1316), X(5465)

K510 pK(X44, X6224), a central cubic

X(80), X(104), X(214), X(1145), X(1317), X(1320), X(5541), X(6224), X(6326)

K511 Euler poles cubic

X(6), X(385), X(523), X(2574), X(2575)

K512 Brocard-van Tienhoven cubic, psK(X2, X2, X3)

X(3), X(76), X(3224)

K513 a K60+

X(6), X(15), X(16), X(74), X(265), X(3016)

K514 spK(X3, midpoint X3-X6781), a stelloid

X(4), X(15), X(16), X(39)

K515 Fermat (third) cubic, pK(X11070, X1138), a pK60+

X(30), X(1138)

K516 Brocard-McCay cubic, spK(X3, X39), a stelloid

X(4), X(3095)

K517 pK(X427, X4)

X(2), X(4), X(76), X(141), X(193), X(427), X(1843)

K518 Orion cubic K(X230)

X(2), X(69), X(230), X(511), X(1972), X(2009), X(2010)

K519 Orion cubic K(X1147)

X(254), X(1147)

K520 Orion nodal cubic K(X578)

X(3), X(578), X(1217), X(3091)

K521 Orion nodal cubic K(X14986)

X(8), X(3296), X(14986)

K522 Orion cubic K(X631)

X(4), X(20), X(631)

K523 isogonal transform of K313

X(3), X(15), X(16), X(64), X(74), X(6000)

K524 isogonal transform of O(X23), a circular cubic

X(3), X(15), X(16), X(67), X(74), X(542)

K525 spK(X3, X4), a central equilateral sympivotal cubic, a K60++

X(3), X(4), X(382)

K526 spK(X54, X5), NPC central cubic, a sympivotal cubic

X(3), X(4), X(5), X(54)

K527 spK(X6, X5), a sympivotal cubic

X(2), X(3), X(4), X(76), X(1352), X(1689), X(1690), X(5486)

K528 pK(X14910, X14911), an axial pK

X(30), X(186), X(1138), X(2071)

K529 Fuhrmann cubic, a focal cubic related to circular pKs

X(1), X(4), X(80), X(355), X(517), X(5903)

K530 a central focal cubic related to circular pKs

X(4), X(30), X(265), X(477)

K531 pK(X3455, X67)

X(6), X(67), X(141), X(524)

K532 pK(X8789, X694)

X(6), X(25), X(32), X(237), X(384), X(385), X(694), X(733), X(904), X(1911), X(2076), X(3051)

K533 pK(X8791, X8791)

X(2), X(427), X(468)

K534 pK(X3, X524)

X(6), X(69), X(524), X(895), X(2930), X(5374)

K535 pK(X25, X468)

X(2), X(25), X(111), X(468)

K536 a circular cubic

X(2), X(3), X(66), X(74), X(1503)

K537 a circular cubic

X(4), X(6), X(22), X(30), X(1297)

K538 pK(X3, X141)

X(6), X(69), X(141), X(1176), X(2916), X(5374)

K539 pK(X25, X427)

X(2), X(25), X(251), X(427)

K540 pK(X523, X9862), Kiepert Orthic pK60, an equilateral cubic


K541 pK(X647, X12244), Jerabek Orthic pK60, an equilateral cubic


K542 pK(X650, X12248), Feuerbach Orthic pK60, an equilateral cubic


K543 pK(X1990, X5667), Orthic pK60+, a stelloid


K544 pK(X3003, X12383), Parry Orthic pK60, an equilateral cubic

X(399), X(2931), X(12283)

K545 Brocard (11th) cubic, a K+


K546 Brocard (12th) cubic


K547 Brocard (13th) cubic

X(39), X(76)

K548 Brocard (14th) cubic

X(76), X(2896)

K549 Brocard (15th) cubic, a K+


K550 Brocard (16th) cubic


K551 Brocard (17th) cubic


K552 Brocard (18th) cubic

X(76), X(99)

K553 Brocard (19th) cubic, an acnodal cubic

X(2), X(76), X(5108)

K554 pK(X1084, X39)

X(39), X(512), X(1015), X(1500), X(2028), X(2029)

K555 Shao-Cheng Liu cubic, psK(X4, X264, X2)

X(2), X(25), X(278), X(1073), X(1993), X(2052), X(3190)

K556 psK(X4, X264, X523), an axial cubic

X(250), X(523)

K557 psK(X14583, X2, X30), an axial cubic


K558 psK(X8798, X253, X3), an equilateral cubic, a K60

X(3), X(5), X(64), X(3146)

K559 psK(X110, X2, X3)

X(3), X(99), X(1379), X(1380), X(2479), X(2480)

K560 psK(X14637, X1, X1023), a cuspidal cubic

X(1023), X(2087)


to Part 3