X2365

CIR(X19)

X2365 = isogonal conjugate of X2385
< 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) { 63, 108 }: Central Line L(63, 108) { 112, 283 }: Central Line L(112, 283) { 107, 333 }: Central Line L(107, 333) { 109, 394 }: Central Line L(109, 394) { 101, 1259 }: Central Line L(101, 1259) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2385 = ISOGONAL CONJUGATE OF X(2365) (0.6246, 0.4244) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1259 = ISOGONAL CONJUGATE OF X(1118) (0.3105, 0.0160) X_2365 = CIR(X(19)) (0.3884, -0.3959) A B C X2385 X63 X108 X112 X283 X107 X333 X109 X394 X101 X1259 X2365 (a, b, c) = (5, 6, 7) | AB = 1

X2365 (CIR(X19)) 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 \(u : v : w\) = X19.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(13.998785036368\)

X2365 lies on the circumcircle.

▸ Incident Central Lines5 lines

{63, 108}, {101, 1259}, {107, 333}, {109, 394}, {112, 283}

▸ Functional Relations1 relation