X2612

CROSSSUM OF PU(71)

X2612 = crosspoint of PU(70)
< 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) { 59, 110 }: Central Line L(59, 110) { 523, 1101 }: Central Line L(523, 1101) { 2605, 2614 }: Central Line L(2605, 2614) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1101 = TRILINEAR SQUARE OF X(110) (0.5344, 0.4306) X_2605 = DIFFERENCE OF PU(71) (6.1667, -1.9052) X_2614 = TRILINEAR POLE OF PU(71) (9.1392, -3.1427) X_2612 = CROSSSUM OF PU(71) (0.8019, 0.3283) A B C X59 X110 X523 X1101 X2605 X2614 X2612 (a, b, c) = (5, 6, 7) | AB = 1

X2612 (CROSSSUM OF PU(71)) 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 \(f(A,B,C) = \csc(A - B) \csc(A - C) - \csc^{2}(B - C)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-0.611070881536\)
▸ Incident Central Lines3 lines

{59, 110}, {523, 1101}, {2605, 2614}

▸ Functional Relations1 relation

  • X2612 = crosspoint of PU(70)