X3777

X1577com[INVERSE(nT(-bc, c²))]

< 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) { 10, 514 }: Central Line L(10, 514) { 513, 663 }: Central Line L(513, 663) { 659, 905 }: Central Line L(659, 905) { 891, 1734 }: Central Line L(891, 1734) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_891 = ISOTOMIC CONJUGATE OF X(889) (0.8689, 0.6842) X_1734 = MIMOSA TRANSFORM OF X(101) (10.6667, -1.6330) X_3777 = com[INVERSE(nT(-bc, c2))] (9.3095, -3.6159) A B C X10 X514 X513 X663 X659 X905 X891 X1734 X3777 (a, b, c) = (5, 6, 7) | AB = 1

X3777 (X1577com[INVERSE(nT(-bc, c²))]) 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 \(f(a,b,c) = a(b - c)(b^{2} + c^{2} - bc)\)
Search Value (6, 9, 13): \(-10.705287226561\)
▸ Incident Central Lines4 lines

{10, 514}, {513, 663}, {659, 905}, {891, 1734}