X1184

2nd SARAGOSSA POINT OF X25

< 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) { 2, 6 }: Centroid–Symmedian Line { 25, 32 }: Central Line L(25, 32) { 3, 1194 }: Central Line L(3, 1194) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1194 = 3rd SARAGOSSA POINT OF X(2) (0.5959, 0.2442) X_1184 = 2nd SARAGOSSA POINT OF X(25) (0.6413, 0.3116) A B C X2 X6 X25 X32 X3 X1194 X1184 (a, b, c) = (5, 6, 7) | AB = 1

X1184 (2nd SARAGOSSA POINT OF X25) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1166)
Barycentrics: \(a^{2} ((a^{2} + b^{2} + c^{2})^{2} - 4 b^{2} c^{2}) : :\)
Search Value (6, 9, 13): \(0.439278876307\)
▸ Incident Central Lines3 lines

{2, 6}, {3, 1194}, {25, 32}