X3801

X2533com[INVERSE(nT(-bc, b²))]

< 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) { 514, 659 }: Central Line L(514, 659) { 523, 656 }: Central Line L(523, 656) { 826, 1089 }: Central Line L(826, 1089) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_3801 = com[INVERSE(nT(-bc, b2))] (20.2007, -5.6821) A B C X514 X659 X523 X656 X826 X1089 X3801 (a, b, c) = (5, 6, 7) | AB = 1

X3801 (X2533com[INVERSE(nT(-bc, b²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b^{2} - c^{2})(b^{2} + c^{2} - bc)\)
Search Value (6, 9, 13): \(-39.252719830724\)
▸ Incident Central Lines3 lines

{514, 659}, {523, 656}, {826, 1089}