X1206

3rd SARAGOSSA POINT OF X81

< 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) { 6, 31 }: Central Line L(6, 31) { 81, 239 }: Central Line L(81, 239) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_1206 = 3rd SARAGOSSA POINT OF X(81) (0.5971, 0.2629) A B C X6 X31 X81 X239 X1206 (a, b, c) = (5, 6, 7) | AB = 1

X1206 (3rd SARAGOSSA POINT OF X81) 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): \(1.056924629105\)
▸ Incident Central Lines2 lines

{6, 31}, {81, 239}