X3606

ISOGONAL CONJUGATE OF X3276

X3606 is the isogonal conjugate of X3276.
< 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) { 1137, 3281 }: Central Line L(1137, 3281) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3276 = CENTER OF 2nd MORLEY TRIANGLE (0.4192, -0.0726) X_1137 = 6th MORLEY-TAYLOR-MARR CENTER (0.4890, 0.0964) X_3281 = PERSPECTOR OF TRIANGLES P1P2P3 AND N1N2N3 (0.4849, 0.0695) X_3606 = ISOGONAL CONJUGATE OF X(3276) (0.5988, 0.8316) A B C X3276 X1137 X3281 X3606 (a, b, c) = (5, 6, 7) | AB = 1

X3606 (ISOGONAL CONJUGATE OF X3276) 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 \(f(A,B,C) = 1/[\cos(A/3 - 2\pi /3) + 2 \cos(B/3 - 2\pi /3) \cos(C/3 - 2\pi /3)]\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(158.720181421053\)
▸ Incident Central Lines1 line

{1137, 3281}