X2375

CIR(X81)

X2375 = isogonal conjugate of X8682
< 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) { 37, 99 }: Central Line L(37, 99) { 110, 213 }: Central Line L(110, 213) { 101, 872 }: Central Line L(101, 872) { 100, 1500 }: Central Line L(100, 1500) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_99 = STEINER POINT (0.1109, 0.4322) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1500 = INSIMILICENTER OF MOSES CIRCLE AND INCIRCLE (0.5747, 0.2319) X_2375 = CIR(X(81)) (1.0001, 0.0006) A B C X37 X99 X110 X213 X101 X872 X100 X1500 X2375 (a, b, c) = (5, 6, 7) | AB = 1

X2375 (CIR(X81)) 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 \(u : v : w\) = X81.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(0.364259620810\)

X2375 lies on the circumcircle.

▸ Incident Central Lines4 lines

{37, 99}, {100, 1500}, {101, 872}, {110, 213}

▸ Functional Relations1 relation

  • X2375 = isogonal conjugate of X8682