X2369

CIR(X55)

X2369 = isogonal conjugate of X2389
< 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) { 7, 101 }: Central Line L(7, 101) { 85, 100 }: Central Line L(85, 100) { 109, 279 }: Central Line L(109, 279) { 110, 1434 }: Central Line L(110, 1434) { 108, 1847 }: Central Line L(108, 1847) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2389 = ISOGONAL CONJUGATE OF X(2369) (0.6246, 0.4244) X_7 = GERGONNE POINT (0.5903, 0.2769) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1434 = -BETH CONJUGATE OF X(274) (0.6014, 0.2949) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1847 = ZOSMA TRANSFORM OF X(170) (0.6290, 0.4862) X_2369 = CIR(X(55)) (1.0012, 0.0058) A B C X2389 X7 X101 X85 X100 X109 X279 X110 X1434 X108 X1847 X2369 (a, b, c) = (5, 6, 7) | AB = 1

X2369 (CIR(X55)) 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 \(u : v : w\) = X55.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(-0.319555275522\)

X2369 lies on the circumcircle.

▸ Incident Central Lines5 lines

{7, 101}, {85, 100}, {108, 1847}, {109, 279}, {110, 1434}

▸ Functional Relations1 relation