X828

CROSSPOINT OF X2 AND X255

X828 is the crosspoint of X2 and X255.
< 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) 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_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_828 = CROSSPOINT OF X(2) AND X(255) (0.5023, 0.0634) A B C X2 X255 X828 (a, b, c) = (5, 6, 7) | AB = 1

X828 (CROSSPOINT OF X2 AND X255) 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 \(f(A,B,C) = \sin C \sec^{2} B + \sin B \sec^{2} C\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = \sin A f(A,B,C)\)
Search Value (6, 9, 13): \(2.832303021334\)
▸ Functional Relations3 relations