X2069

POINT CURSA II

< 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) { 1, 364 }: Central Line L(1, 364) { 6, 366 }: Central Line L(6, 366) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_364 = WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT) (0.5406, 0.1984) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_366 = ISOGONAL CONJUGATE OF X(365) (0.5551, 0.2165) X_2069 = POINT CURSA II (1.8700, 1.7010) A B C X1 X364 X6 X366 X2069 (a, b, c) = (5, 6, 7) | AB = 1

X2069 (POINT CURSA II) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a - b^{1/2}c^{1/2}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-4.946728302709\)
▸ Incident Central Lines2 lines

{1, 364}, {6, 366}