X2437

ISOGONAL CONJUGATE OF X2411

X2437 is the isogonal conjugate of X2411.
< 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, 13 }: Central Line L(6, 13) { 2420, 2433 }: Central Line L(2420, 2433) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2411 = GIBERT-SIMSON TRANSFORM OF X(477) (0.0044, 0.0215) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_2420 = ISOGONAL CONJUGATE OF X(2394) (0.8593, 0.6954) X_2433 = ISOGONAL CONJUGATE OF X(2407) (1.1401, 0.1425) X_2437 = ISOGONAL CONJUGATE OF X(2411) (1.8486, -1.2526) A B C X2411 X6 X13 X2420 X2433 X2437 (a, b, c) = (5, 6, 7) | AB = 1

X2437 (ISOGONAL CONJUGATE OF X2411) 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): \(0.009773598999\)

X2437 lies on the cubic K162.

▸ Incident Central Lines2 lines

{6, 13}, {2420, 2433}

▸ Functional Relations2 relations