X1181

2nd SARAGOSSA POINT OF X3

X1181 = crosssum of X4 and X631
< 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) { 1593, 578 }: Central Line L(1593, 578) { 4, 6 }: Van Aubel Line { 3, 49 }: Central Line L(3, 49) { 54, 64 }: Central Line L(54, 64) { 24, 154 }: Central Line L(24, 154) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1593 = POINT CEBALRAI (0.5972, 0.3563) X_578 = ORTHOHARMONIC OF X(216) (0.5933, 0.2561) X_4 = ORTHOCENTER (0.6122, 0.3958) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_54 = KOSNITA POINT (0.5880, 0.2176) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_154 = -CEVA CONJUGATE OF X(6) (0.4807, -0.3954) X_1181 = 2nd SARAGOSSA POINT OF X(3) (0.5894, 0.1559) A B C X1593 X578 X4 X6 X3 X49 X54 X64 X24 X154 X1181 (a, b, c) = (5, 6, 7) | AB = 1

X1181 (2nd SARAGOSSA POINT OF X3) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = (1 - \cos A \sin B \sin C) \cos A\)
Search Value (6, 9, 13): \(23.225450164108\)
▸ Incident Central Lines10 lines

{3, 49}, {4, 6}, {5, 1899}, {24, 154}, {25, 389}, {54, 64}, {110, 974}, {125, 399}, {186, 1192}, {1060, 1069}

▸ Functional Relations3 relations