X1543

ORTHOJOIN OF X57

< 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) { 1, 4 }: Incenter–Orthocenter Line { 516, 972 }: Central Line L(516, 972) { 908, 1530 }: Central Line L(908, 1530) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_4 = ORTHOCENTER (0.6122, 0.3958) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_972 = ISOGONAL CONJUGATE OF X(971) (0.5731, -0.4030) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_1530 = ORTHOJOIN OF X(31) (-0.4898, -1.6288) X_1543 = ORTHOJOIN OF X(57) (0.1874, -1.2955) A B C X1 X4 X516 X972 X908 X1530 X1543 (a, b, c) = (5, 6, 7) | AB = 1

X1543 (ORTHOJOIN 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 X1512)
Search Value (6, 9, 13): \(-4.535877286029\)
▸ Incident Central Lines3 lines

{1, 4}, {516, 972}, {908, 1530}