X2852

ISOGONAL CONJUGATE OF X2768

X2852 is the isogonal conjugate of X2768.
< 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) { 109, 111 }: Central Line L(109, 111) { 124, 126 }: Central Line L(124, 126) { 30, 511 }: Central Line L(30, 511) { 102, 1296 }: Central Line L(102, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2768 = SR(X(109), X(111)) (-0.0003, 0.2027) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_111 = PARRY POINT (0.9885, -0.0457) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_126 = -OF-MEDIAL-TRIANGLE (0.3119, 0.3228) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2852 = ISOGONAL CONJUGATE OF X(2768) (0.9475, -0.2198) A B C X2768 X109 X111 X124 X126 X30 X511 X102 X1296 X2852 (a, b, c) = (5, 6, 7) | AB = 1

X2852 (ISOGONAL CONJUGATE OF X2768) 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 X2768
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {102, 1296}, {109, 111}, {124, 126}

▸ Functional Relations1 relation