X2678

RS(X74, X101)

X2678 = reflection of X2685 in X188
< 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) { 2685, 188 }: Central Line L(2685, 188) { 118, 516 }: Central Line L(118, 516) { 125, 523 }: Central Line L(125, 523) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2685 = RS(X(101), X(110)) (0.5365, 0.7455) X_188 = 2nd MID-ARC POINT OF ANTICOMPLEMENTARY TRIANGLE (0.5245, 0.1802) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_2678 = RS(X(74), X(101)) (0.2900, 0.1752) A B C X2685 X188 X118 X516 X125 X523 X2678 (a, b, c) = (5, 6, 7) | AB = 1

X2678 (RS(X74, X101)) 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) is as given just before X2677 using P = X74, U = X101
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.278009981405\)
▸ Incident Central Lines2 lines

{118, 516}, {125, 523}

▸ Functional Relations1 relation