X2380

CIR(X532)

X2380 = isogonal conjugate of X532
< 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) { 14, 99 }: Central Line L(14, 99) { 61, 110 }: Central Line L(61, 110) { 18, 930 }: Central Line L(18, 930) { 16, 1337 }: Central Line L(16, 1337) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_532 = DIRECTION OF VECTOR AX + BX + CX, where X = X(17) (0.8927, 0.6671) X_14 = 2nd ISOGONIC CENTER (0.9134, -0.1143) X_99 = STEINER POINT (0.1109, 0.4322) X_61 = ISOGONAL CONJUGATE OF X(17) (0.5764, 0.2283) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_18 = 2nd NAPOLEON POINT (0.4434, 0.1317) X_930 = ANTICOMPLEMENT OF X(137) (0.0497, 0.3422) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_1337 = 1st WERNAU POINT (2.6910, 4.6498) X_2380 = CIR(X(532)) (0.9498, -0.1390) A B C X532 X14 X99 X61 X110 X18 X930 X16 X1337 X2380 (a, b, c) = (5, 6, 7) | AB = 1

X2380 (CIR(X532)) 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 \(u : v : w\) = X532.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(4.893521881410\)

X2380 lies on the circumcircle.

▸ Incident Central Lines4 lines

{14, 99}, {16, 1337}, {18, 930}, {61, 110}

▸ Functional Relations1 relation