X2370

CIR(X56)

X2370 = cevapoint of X3 and X519
< 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) { 8, 109 }: Central Line L(8, 109) { 108, 318 }: Central Line L(108, 318) { 100, 341 }: Central Line L(100, 341) { 101, 346 }: Central Line L(101, 346) { 75, 934 }: Central Line L(75, 934) { 110, 1043 }: Central Line L(110, 1043) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2390 = ISOGONAL CONJUGATE OF X(2370) (0.6246, 0.4244) X_8 = NAGEL POINT (0.4694, 0.1333) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1043 = CEVAPOINT OF X(1) AND X(20) (0.4149, 0.0930) X_2370 = CIR(X(56)) (0.5918, -0.3999) A B C X2390 X8 X109 X108 X318 X100 X341 X101 X346 X75 X934 X110 X1043 X2370 (a, b, c) = (5, 6, 7) | AB = 1

X2370 (CIR(X56)) 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 \(u : v : w\) = X56.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(13.414339883368\)

X2370 lies on the circumcircle.

▸ Incident Central Lines8 lines

{8, 109}, {20, 1293}, {75, 934}, {100, 341}, {101, 346}, {108, 318}, {110, 1043}, {112, 2322}

▸ Functional Relations7 relations