X2366

CIR(X25)

X2366 = isogonal conjugate of X2386
< 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) { 69, 112 }: Central Line L(69, 112) { 76, 107 }: Central Line L(76, 107) { 99, 159 }: Central Line L(99, 159) { 108, 1231 }: Central Line L(108, 1231) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2386 = ISOGONAL CONJUGATE OF X(2366) (0.6246, 0.4244) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_99 = STEINER POINT (0.1109, 0.4322) X_159 = -OF-TANGENTIAL-TRIANGLE (0.4211, -0.7266) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1231 = ISOTOMIC CONJUGATE OF X(1172) (0.4217, 0.0767) X_2366 = CIR(X(25)) (0.3278, -0.3783) A B C X2386 X69 X112 X76 X107 X99 X159 X108 X1231 X2366 (a, b, c) = (5, 6, 7) | AB = 1

X2366 (CIR(X25)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(F(u,v,w) : F(v,w,u) : F(w,u,v)\), where F is as indicated just before X2365, and \(u : v : w\) = X25.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(12.387993392370\)

X2366 lies on the circumcircle.

▸ Incident Central Lines4 lines

{69, 112}, {76, 107}, {99, 159}, {108, 1231}

▸ Functional Relations1 relation