X2630

MIDPOINT OF PU(74)

X2630 is the midpoint of pu(74).
< 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_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_2630 = MIDPOINT OF PU(74) (0.8524, 2.8020) A B C X44 X513 X2630 (a, b, c) = (5, 6, 7) | AB = 1

X2630 (MIDPOINT OF PU(74)) 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 \(f(A,B,C) = k(a,b,c)(\tan C - \tan A) + h(a,b,c)(\tan B - \tan A)\), where \(h(a,b,c) = a(\tan C - \tan A) + b(\tan A - \tan B) + c(\tan B - \tan C)\), and \(k(a,b,c) = a(\tan B - \tan A) + b(\tan C - \tan B) + c(\tan A - \tan C)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-2.187699979361\)
▸ Incident Central Lines1 line

{44, 513}