X3607

ISOGONAL CONJUGATE OF X3277

X3607 is the isogonal conjugate of X3277.
< 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) { 1135, 3279 }: Central Line L(1135, 3279) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3277 = CENTER OF 3rd MORLEY TRIANGLE (0.5081, 0.1427) X_1135 = 4th MORLEY-TAYLOR-MARR CENTER (0.5834, 0.2515) X_3279 = PERSPECTOR OF TRIANGLES M1M2M3 AND N1N2N3 (0.5876, 0.2634) X_3607 = ISOGONAL CONJUGATE OF X(3277) (0.6128, 0.3358) A B C X3277 X1135 X3279 X3607 (a, b, c) = (5, 6, 7) | AB = 1

X3607 (ISOGONAL CONJUGATE OF X3277) 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 \(f(A,B,C) = 1/[\cos(A/3 - 4\pi /3) + 2 \cos(B/3 - 4\pi /3) \cos(C/3 - 4\pi /3)]\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-0.778979854948\)
▸ Incident Central Lines1 line

{1135, 3279}