X1207

3rd SARAGOSSA POINT OF X83

< 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) { 3, 6 }: Brocard Axis { 83, 3978 }: Central Line L(83, 3978) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_83 = CEVAPOINT OF CENTROID AND SYMMEDIAN POINT (0.5651, 0.2360) X_3978 = com[INVERSE(n(1st BROCARD TRIANGLE))] (-1.5999, -1.4184) X_1207 = 3rd SARAGOSSA POINT OF X(83) (0.5948, 0.2587) A B C X3 X6 X83 X3978 X1207 (a, b, c) = (5, 6, 7) | AB = 1

X1207 (3rd SARAGOSSA POINT OF X83) 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): \(1.091774673796\)
▸ Incident Central Lines2 lines

{3, 6}, {83, 3978}