X2372

CIR(X58)

X2372 = isogonal conjugate of X2392
< 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) { 10, 110 }: Central Line L(10, 110) { 12, 109 }: Central Line L(12, 109) { 99, 313 }: Central Line L(99, 313) { 101, 594 }: Central Line L(101, 594) { 100, 1089 }: Central Line L(100, 1089) { 112, 1826 }: Central Line L(112, 1826) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2392 = ISOGONAL CONJUGATE OF X(2372) (0.6246, 0.4244) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_99 = STEINER POINT (0.1109, 0.4322) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_2372 = CIR(X(58)) (0.8524, -0.2670) A B C X2392 X10 X110 X12 X109 X99 X313 X101 X594 X100 X1089 X112 X1826 X2372 (a, b, c) = (5, 6, 7) | AB = 1

X2372 (CIR(X58)) 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 \(u : v : w\) = X58.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(12.204089792385\)

X2372 lies on the circumcircle.

▸ Incident Central Lines6 lines

{10, 110}, {12, 109}, {99, 313}, {100, 1089}, {101, 594}, {112, 1826}

▸ Functional Relations1 relation