X2371

CIR(X57)

X2371 = isogonal conjugate of X2391
< 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) { 109, 220 }: Central Line L(109, 220) { 101, 480 }: Central Line L(101, 480) { 9, 934 }: Central Line L(9, 934) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2391 = ISOGONAL CONJUGATE OF X(2371) (0.6246, 0.4244) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_480 = -CEVA CONJUGATE OF X(220) (0.4089, 0.0793) X_9 = MITTENPUNKT (0.5110, 0.1615) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_2371 = CIR(X(57)) (0.6160, -0.3949) A B C X2391 X109 X220 X101 X480 X9 X934 X2371 (a, b, c) = (5, 6, 7) | AB = 1

X2371 (CIR(X57)) 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 \(u : v : w\) = X57.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(14.189418676327\)

X2371 lies on the circumcircle.

▸ Incident Central Lines3 lines

{9, 934}, {101, 480}, {109, 220}

▸ Functional Relations1 relation