X2849

ISOGONAL CONJUGATE OF X2765

X2849 is the isogonal conjugate of X2765.
< 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) { 108, 109 }: Central Line L(108, 109) { 123, 124 }: Central Line L(123, 124) { 30, 511 }: Central Line L(30, 511) { 102, 1295 }: Central Line L(102, 1295) { 1359, 1361 }: Central Line L(1359, 1361) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2765 = SR(X(108), X(109)) (0.7125, 0.5660) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) 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_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_1359 = BRISSE TRANSFORM OF X(102) (0.5861, 0.4661) X_1361 = BRISSE TRANSFORM OF X(104) (0.5091, 0.4581) X_2849 = ISOGONAL CONJUGATE OF X(2765) (1.1211, 0.2608) A B C X2765 X108 X109 X123 X124 X30 X511 X102 X1295 X1359 X1361 X2849 (a, b, c) = (5, 6, 7) | AB = 1

X2849 (ISOGONAL CONJUGATE OF X2765) 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 X2765
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {102, 1295}, {108, 109}, {123, 124}, {1359, 1361}

▸ Functional Relations1 relation