X2814

ISOGONAL CONJUGATE OF X2730

X2814 is the isogonal conjugate of X2730.
< 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, 105 }: Central Line L(102, 105) { 117, 120 }: Central Line L(117, 120) { 30, 511 }: Central Line L(30, 511) { 109, 1292 }: Central Line L(109, 1292) { 40, 2254 }: Central Line L(40, 2254) { 1358, 1364 }: Central Line L(1358, 1364) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2730 = SR(X(102), X(105)) (1.0078, 0.0514) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_40 = BEVAN POINT (0.4286, -0.0292) X_2254 = -ISOCONJUGATE OF X(919) (2.5714, 1.8663) X_1358 = BRISSE TRANSFORM OF X(101) (0.7869, 0.1440) X_1364 = BRISSE TRANSFORM OF X(108) (0.5367, 0.6071) X_2814 = ISOGONAL CONJUGATE OF X(2730) (0.0978, -0.1889) A B C X2730 X102 X105 X117 X120 X30 X511 X109 X1292 X40 X2254 X1358 X1364 X2814 (a, b, c) = (5, 6, 7) | AB = 1

X2814 (ISOGONAL CONJUGATE OF X2730) 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 X2730
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{30, 511}, {40, 2254}, {102, 105}, {109, 1292}, {117, 120}, {1358, 1364}

▸ Functional Relations1 relation