X2368

CIR(X42)

X2368 = isogonal conjugate of X2388
< 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) { 86, 101 }: Central Line L(86, 101) { 100, 274 }: Central Line L(100, 274) { 109, 1434 }: Central Line L(109, 1434) { 110, 1509 }: Central Line L(110, 1509) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2388 = ISOGONAL CONJUGATE OF X(2368) (0.6246, 0.4244) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_274 = ISOGONAL CONJUGATE OF X(213) (0.5168, 0.1843) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1434 = -BETH CONJUGATE OF X(274) (0.6014, 0.2949) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1509 = ISOGONAL CONJUGATE OF X(1500) (0.5682, 0.2347) X_2368 = CIR(X(42)) (0.9485, -0.1414) A B C X2388 X86 X101 X100 X274 X109 X1434 X110 X1509 X2368 (a, b, c) = (5, 6, 7) | AB = 1

X2368 (CIR(X42)) 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 \(u : v : w\) = X42.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(5.149655131924\)

X2368 lies on the circumcircle.

▸ Incident Central Lines4 lines

{86, 101}, {100, 274}, {109, 1434}, {110, 1509}

▸ Functional Relations1 relation