X2815

ISOGONAL CONJUGATE OF X2731

X2815 is the isogonal conjugate of X2731.
< 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) { 102, 106 }: Central Line L(102, 106) { 117, 121 }: Central Line L(117, 121) { 30, 511 }: Central Line L(30, 511) { 573, 665 }: Central Line L(573, 665) { 109, 1293 }: Central Line L(109, 1293) { 1357, 1364 }: Central Line L(1357, 1364) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2731 = SR(X(102), X(106)) (0.9889, -0.0443) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_573 = ORTHOHARMONIC OF X(58) (0.4486, 0.0172) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1357 = BRISSE TRANSFORM OF X(100) (0.8000, 0.1866) X_1364 = BRISSE TRANSFORM OF X(108) (0.6338, 0.0085) X_2815 = ISOGONAL CONJUGATE OF X(2731) (3157896.5740, 3384165.6502) A B C X2731 X102 X106 X117 X121 X30 X511 X573 X665 X109 X1293 X1357 X1364 X2815 (a, b, c) = (5, 6, 7) | AB = 1

X2815 (ISOGONAL CONJUGATE OF X2731) 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 X2731
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines7 lines

{30, 511}, {102, 106}, {109, 1293}, {117, 121}, {573, 665}, {1054, 2636}, {1357, 1364}

▸ Functional Relations1 relation