X1540

ORTHOJOIN OF X54

< 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) { 4, 6 }: Van Aubel Line A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1540 = ORTHOJOIN OF X(54) (0.8076, 2.4459) A B C X4 X6 X1540 (a, b, c) = (5, 6, 7) | AB = 1

X1540 (ORTHOJOIN OF X54) 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): \(0.251354802953\)
▸ Incident Central Lines1 line

{4, 6}