X2825

ISOGONAL CONJUGATE OF X2741

X2825 is the isogonal conjugate of X2741.
< 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) { 58, 103 }: Central Line L(58, 103) { 118, 127 }: Central Line L(118, 127) { 116, 132 }: Central Line L(116, 132) { 30, 511 }: Central Line L(30, 511) { 101, 1297 }: Central Line L(101, 1297) { 152, 1330 }: Central Line L(152, 1330) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2741 = SR(X(103), X(112)) (0.1396, -0.2592) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_127 = -OF-MEDIAL-TRIANGLE (0.5480, -0.0061) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_132 = ∩X(4)X(32) (0.5642, 0.5039) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1297 = COLLINGS TRANSFORM OF X(127) (0.4838, -0.4080) X_152 = REFLECTION OF X(20) IN X(101) (0.0408, 1.2414) X_1330 = ANTICOMPLEMENTARY CONJUGATE OF X(1) (0.3908, 0.0300) X_2825 = ISOGONAL CONJUGATE OF X(2741) (0.3745, 0.7638) A B C X2741 X58 X103 X118 X127 X116 X132 X30 X511 X101 X1297 X152 X1330 X2825 (a, b, c) = (5, 6, 7) | AB = 1

X2825 (ISOGONAL CONJUGATE OF X2741) 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 X2741
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{30, 511}, {58, 103}, {101, 1297}, {116, 132}, {118, 127}, {152, 1330}

▸ Functional Relations1 relation