X2060

ORION TRANSFORM OF X20

< 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_2060 = ORION TRANSFORM OF X(20) (0.5150, 0.1413) A B C X2 X3 X4 X2060 (a, b, c) = (5, 6, 7) | AB = 1

X2060 (ORION TRANSFORM OF X20) 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) is given just above X2055, using X = X20
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.921663045370\)
▸ Incident Central Lines1 line

{2, 3}

Notes

As a point on the Euler line, X2060 has Shinagawa coefficients \((4(E - 2F)F - S^{2},8F^{2})\).