X2376

CIR(X219)

< 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) { 34, 101 }: Central Line L(34, 101) { 100, 278 }: Central Line L(100, 278) { 110, 1396 }: Central Line L(110, 1396) { 109, 1435 }: Central Line L(109, 1435) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1396 = -BETH CONJUGATE OF X(27) (0.6344, 0.4894) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1435 = -BETH CONJUGATE OF X(278) (0.6337, 0.5189) X_2376 = CIR(X(219)) (0.8702, 0.4533) A B C X34 X101 X100 X278 X110 X1396 X109 X1435 X2376 (a, b, c) = (5, 6, 7) | AB = 1

X2376 (CIR(X219)) 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 \(u : v : w\) = X219.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(0.916474736534\)

X2376 lies on the circumcircle.

▸ Incident Central Lines4 lines

{34, 101}, {100, 278}, {109, 1435}, {110, 1396}