X2882

ISOGONAL CONJUGATE OF X2868

X2882 is the isogonal conjugate of X2868.
< 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) { 30, 511 }: Central Line L(30, 511) { 25, 694 }: Central Line L(25, 694) { 315, 670 }: Central Line L(315, 670) { 32, 1084 }: Central Line L(32, 1084) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2868 = SM(X(110), X(111)) (-0.0042, 0.1807) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_694 = ISOGONAL CONJUGATE OF X(385) (1.0179, 0.0378) X_315 = ISOTOMIC CONJUGATE OF X(66) (0.3323, -0.0666) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1084 = CROSSPOINT OF X(2) AND X(512) (0.8090, 0.1525) X_2882 = ISOGONAL CONJUGATE OF X(2868) (0.9382, -0.2287) A B C X2868 X30 X511 X25 X694 X315 X670 X32 X1084 X2882 (a, b, c) = (5, 6, 7) | AB = 1

X2882 (ISOGONAL CONJUGATE OF X2868) 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 at X2868
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{25, 694}, {30, 511}, {32, 1084}, {315, 670}

▸ Functional Relations1 relation