X3335

PERSPECTOR OF TRIANGLES N1N2N3 AND J1J2J3

The equilateral triangles N1N2N3 and J1J2J3 are defined just before X3272.
< 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) { 3, 3272 }: Central Line L(3, 3272) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_3272 = CENTER OF EQUILATERAL TRIANGLE J1J2J3 (0.5698, 0.2349) X_3335 = PERSPECTOR OF TRIANGLES N1N2N3 AND J1J2J3 (0.6296, 0.3489) A B C X3 X3272 X3335 (a, b, c) = (5, 6, 7) | AB = 1

X3335 (PERSPECTOR OF TRIANGLES N1N2N3 AND J1J2J3) 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 \(f(A,B,C) = \cos A - 2 \sin(B/3) \sin(C/3) - \sin(A/3 +\pi /6)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-0.059583727280\)
▸ Incident Central Lines4 lines

{3, 3272}, {357, 6121}, {1134, 6122}, {1136, 6120}

▸ Functional Relations1 relation