X770

POINT ACAMAR

X770 = crosssum of X1 and X770
< 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) { 44, 513 }: Central Line L(44, 513) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_771 = ISOGONAL CONJUGATE OF X(770) (0.0821, 0.4083) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_770 = POINT ACAMAR (-24.0549, 16.3598) A B C X771 X44 X513 X770 (a, b, c) = (5, 6, 7) | AB = 1

X770 (POINT ACAMAR) 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 \(f(A,B,C) = \cos^{3} B - \cos^{3} C\)
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): \(-36.735085036081\)
▸ Incident Central Lines1 line

{44, 513}

▸ Functional Relations3 relations