X2639

CROSSSUM OF PU(77)

X2639 = crosspoint of PU(76)
< 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) { 652, 653 }: Central Line L(652, 653) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_652 = CROSSDIFFERENCE OF X(1) AND X(4) (7.2558, -0.6836) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_2639 = CROSSSUM OF PU(77) (0.7050, 0.5658) A B C X652 X653 X2639 (a, b, c) = (5, 6, 7) | AB = 1

X2639 (CROSSSUM OF PU(77)) 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 \(f(A,B,C) = 1/[(\sec A - \sec B)(\sec A - \sec C)] - 1/(\sec B - \sec C)^{2}\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(0.199847385479\)
▸ Incident Central Lines1 line

{652, 653}

▸ Functional Relations1 relation

  • X2639 = crosspoint of PU(76)