X1202

3rd SARAGOSSA POINT OF X57

X1202 = crosspoint of X57 and X1174
< 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) { 57, 279 }: Central Line L(57, 279) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_1202 = 3rd SARAGOSSA POINT OF X(57) (0.6056, 0.2754) A B C X57 X1174 X6 X31 X279 X1202 (a, b, c) = (5, 6, 7) | AB = 1

X1202 (3rd SARAGOSSA POINT OF X57) 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): \(0.919250096693\)
▸ Incident Central Lines2 lines

{6, 31}, {57, 279}

▸ Functional Relations3 relations