X2613

CROSSDIFFERENCE OF PU(70)

X2613 = reflection of X2612 in X1101
< 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) { 2612, 1101 }: Central Line L(2612, 1101) { 1, 60 }: Central Line L(1, 60) { 523, 1101 }: Central Line L(523, 1101) { 1983, 2610 }: Central Line L(1983, 2610) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2612 = CROSSSUM OF PU(71) (0.8019, 0.3283) X_1101 = TRILINEAR SQUARE OF X(110) (0.5344, 0.4306) X_1 = INCENTER (0.5714, 0.2333) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1983 = VEGA TRANSFORM OF X(523) (0.9661, 0.8719) X_2610 = SUM OF PU(71) (2.7813, 1.7520) X_2613 = CROSSDIFFERENCE OF PU(70) (0.2669, 0.5328) A B C X2612 X1101 X1 X60 X523 X1983 X2610 X2613 (a, b, c) = (5, 6, 7) | AB = 1

X2613 (CROSSDIFFERENCE OF PU(70)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\csc(A - B) \csc(A - C) + \csc^{2}(B - C) : :\)
Search Value (6, 9, 13): \(0.992372995491\)
▸ Alternate Coordinates1 form

  • Trilinears: \((a^{6} - a^{4} (b^{2} + c^{2}) + a^{2} b^{2} c^{2} + b c (b^{2} - c^{2})^{2})/(b^{2} - c^{2}) : :\)

▸ Incident Central Lines3 lines

{1, 60}, {523, 1101}, {1983, 2610}

▸ Functional Relations6 relations