X2444

ISOGONAL CONJUGATE OF X2418

X2444 is the isogonal conjugate of X2418.
< 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, 512 }: Central Line L(6, 512) { 691, 2421 }: Central Line L(691, 2421) { 1499, 1992 }: Central Line L(1499, 1992) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2418 = GIBERT-SIMSON TRANSFORM OF X(1296) (-0.2483, -0.2273) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_2421 = ISOGONAL CONJUGATE OF X(2395) (1.5174, 1.2531) X_1499 = POINT BIHAM (0.1078, 0.5997) X_1992 = ORTHOCORRESPONDENT OF X(2) (0.6626, 0.3345) X_2444 = ISOGONAL CONJUGATE OF X(2418) (0.9861, 0.0334) A B C X2418 X6 X512 X691 X2421 X1499 X1992 X2444 (a, b, c) = (5, 6, 7) | AB = 1

X2444 (ISOGONAL CONJUGATE OF X2418) 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: \(a^{2} (5 a^{2} - b^{2} - c^{2}) (b^{2} - c^{2})/(2 a^{2} - b^{2} - c^{2}) : :\)
Search Value (6, 9, 13): \(0.128622383465\)

X2444 lies on the cubic K162.

▸ Incident Central Lines3 lines

{6, 512}, {691, 2421}, {1499, 1992}

▸ Functional Relations2 relations