X1169

1st SARAGOSSA POINT OF X37

X1169 = isogonal conjugate of X1211
< 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, 60 }: Central Line L(6, 60) { 21, 172 }: Central Line L(21, 172) { 2, 261 }: Central Line L(2, 261) { 42, 284 }: Central Line L(42, 284) { 32, 941 }: Central Line L(32, 941) { 28, 961 }: Central Line L(28, 961) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_2 = CENTROID (0.5374, 0.2000) X_261 = ISOTOMIC CONJUGATE OF X(12) (0.5072, 0.1625) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_941 = ISOGONAL CONJUGATE OF X(940) (0.5671, 0.2256) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_961 = ISOGONAL CONJUGATE OF X(960) (0.6167, 0.3210) X_1169 = 1st SARAGOSSA POINT OF X(37) (0.6140, 0.2950) A B C X1211 X6 X60 X21 X172 X2 X261 X42 X284 X32 X941 X28 X961 X1169 (a, b, c) = (5, 6, 7) | AB = 1

X1169 (1st SARAGOSSA POINT OF X37) 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): \(0.653163325691\)
▸ Incident Central Lines8 lines

{2, 261}, {6, 60}, {21, 172}, {28, 961}, {32, 941}, {42, 284}, {572, 849}, {604, 1178}

▸ Functional Relations4 relations