X1166

1st SARAGOSSA POINT OF X5

X1166 = isogonal conjugate of X1209
< 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) { 5, 96 }: Central Line L(5, 96) { 52, 54 }: Central Line L(52, 54) { 2, 252 }: Central Line L(2, 252) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1209 = ISOGONAL CONJUGATE OF X(1166) (0.5121, 0.1912) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_96 = ISOGONAL CONJUGATE OF X(52) (-0.0943, -0.0197) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_54 = KOSNITA POINT (0.5880, 0.2176) X_2 = CENTROID (0.5374, 0.2000) X_252 = ISOGONAL CONJUGATE OF X(143) (0.4565, 0.1253) X_1166 = 1st SARAGOSSA POINT OF X(5) (0.6183, 0.2746) A B C X1209 X5 X96 X52 X54 X2 X252 X1166 (a, b, c) = (5, 6, 7) | AB = 1

X1166 (1st SARAGOSSA POINT OF X5) 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): \(2.074037123245\)
▸ Incident Central Lines3 lines

{2, 252}, {5, 96}, {52, 54}

▸ Functional Relations2 relations