X2440

ISOGONAL CONJUGATE OF X2414

X2440 is the isogonal conjugate of X2414.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 6, 513 }: Central Line L(6, 513) { 512, 884 }: Central Line L(512, 884) { 919, 2427 }: Central Line L(919, 2427) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2414 = GIBERT-SIMSON TRANSFORM OF X(1292) (-0.4153, -0.3594) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_884 = ISOGONAL CONJUGATE OF X(883) (1.0241, 0.0337) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_2427 = ISOGONAL CONJUGATE OF X(2401) (1.2000, 0.9798) X_2440 = ISOGONAL CONJUGATE OF X(2414) (0.9796, 0.0606) A B C X2414 X6 X513 X512 X884 X919 X2427 X2440 (a, b, c) = (5, 6, 7) | AB = 1

X2440 (ISOGONAL CONJUGATE OF X2414) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as given just before X2394
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(0.129389469392\)

X2440 lies on the cubic K162.

▸ Incident Central Lines3 lines

{6, 513}, {512, 884}, {919, 2427}

▸ Functional Relations2 relations