X1186

2nd SARAGOSSA POINT OF X32

X1186 = crossdifference of every pair of points on line X688X850
< 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, 76 }: Central Line L(6, 76) { 32, 184 }: Central Line L(32, 184) { 2, 1207 }: Central Line L(2, 1207) 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_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_2 = CENTROID (0.5374, 0.2000) X_1207 = 3rd SARAGOSSA POINT OF X(83) (0.5948, 0.2587) X_1186 = 2nd SARAGOSSA POINT OF X(32) (0.6256, 0.2902) A B C X6 X76 X32 X184 X2 X1207 X1186 (a, b, c) = (5, 6, 7) | AB = 1

X1186 (2nd SARAGOSSA POINT OF X32) 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): \(0.553056910045\)
▸ Incident Central Lines3 lines

{2, 1207}, {6, 76}, {32, 184}

▸ Functional Relations1 relation

  • X1186 = crossdifference of every pair of points on line X688X850