X2381

CIR(X533)

X2381 = isogonal conjugate of X533
< 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) { 13, 99 }: Central Line L(13, 99) { 62, 110 }: Central Line L(62, 110) { 17, 930 }: Central Line L(17, 930) { 15, 1338 }: Central Line L(15, 1338) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_533 = DIRECTION OF VECTOR AX + BX + CX, where X = X(18) (0.0625, -0.1448) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_99 = STEINER POINT (0.1109, 0.4322) X_62 = ISOGONAL CONJUGATE OF X(18) (0.6446, 0.3409) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_17 = 1st NAPOLEON POINT (0.5666, 0.2383) X_930 = ANTICOMPLEMENT OF X(137) (0.0497, 0.3422) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_1338 = 2nd WERNAU POINT (1.0969, 0.1421) X_2381 = CIR(X(533)) (1.0081, 0.1495) A B C X533 X13 X99 X62 X110 X17 X930 X15 X1338 X2381 (a, b, c) = (5, 6, 7) | AB = 1

X2381 (CIR(X533)) 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 \(u : v : w\) = X533.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(-0.099844312110\)

X2381 lies on the circumcircle.

▸ Incident Central Lines4 lines

{13, 99}, {15, 1338}, {17, 930}, {62, 110}

▸ Functional Relations1 relation