X1185

2nd SARAGOSSA POINT OF X31

X1185 = crossdifference of every pair of points on line X512X693
< 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 { 31, 32 }: Central Line L(31, 32) { 1, 1206 }: Central Line L(1, 1206) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1218 = ISOGONAL CONJUGATE OF X(1185) (0.5201, 0.1877) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1 = INCENTER (0.5714, 0.2333) X_1206 = 3rd SARAGOSSA POINT OF X(81) (0.5971, 0.2629) X_1185 = 2nd SARAGOSSA POINT OF X(31) (0.6116, 0.2797) A B C X1218 X2 X6 X31 X32 X1 X1206 X1185 (a, b, c) = (5, 6, 7) | AB = 1

X1185 (2nd SARAGOSSA POINT OF X31) 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)
Search Value (6, 9, 13): \(0.765359225547\)
▸ Incident Central Lines3 lines

{1, 1206}, {2, 6}, {31, 32}

▸ Functional Relations2 relations