X1556

ORTHOJOIN OF X251

< 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) { 2, 3 }: Euler Line A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1556 = ORTHOJOIN OF X(251) (-0.1375, -1.5659) A B C X2 X3 X4 X1556 (a, b, c) = (5, 6, 7) | AB = 1

X1556 (ORTHOJOIN OF X251) 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): \(-2.231796529121\)
▸ Incident Central Lines1 line

{2, 3}

Notes

As a point on the Euler line, X1556 has Shinagawa coefficients \((2(E + F)^{3} + (E + 2F)S^{2}, -(E + F)[5(E + 6F)(E + F) - 2S^{2}])\).