X2876

ISOGONAL CONJUGATE OF X2862

X2876 is the isogonal conjugate of X2862.
< 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) { 6, 692 }: Central Line L(6, 692) { 19, 1843 }: Central Line L(19, 1843) { 1633, 1814 }: Central Line L(1633, 1814) { 1469, 2263 }: Central Line L(1469, 2263) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2862 = SM(X(100), X(105)) (0.0070, 0.2340) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1843 = ZOSMA TRANSFORM OF X(75) (0.6278, 0.4214) X_1633 = TCC-PERSPECTOR OF X(651) (0.2619, 0.5832) X_1814 = INVERSE MIMOSA TRANSFORM OF X(672) (0.8952, -0.0254) X_1469 = -BETH CONJUGATE OF X(984) (0.6171, 0.3088) X_2263 = -ISOCONJUGATE OF X(949) (0.6079, 0.3177) X_2876 = ISOGONAL CONJUGATE OF X(2862) (0.9605, -0.2067) A B C X2862 X30 X511 X6 X692 X19 X1843 X1633 X1814 X1469 X2263 X2876 (a, b, c) = (5, 6, 7) | AB = 1

X2876 (ISOGONAL CONJUGATE OF X2862) 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 X2862
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{6, 692}, {19, 1843}, {30, 511}, {1469, 2263}, {1633, 1814}

▸ Functional Relations1 relation