X3279

PERSPECTOR OF TRIANGLES M1M2M3 AND N1N2N3

X3279 is the perspector of triangles m1m2m3 and n1n2n3.
< 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, 356 }: Central Line L(3, 356) { 358, 3281 }: Central Line L(358, 3281) { 1135, 3283 }: Central Line L(1135, 3283) 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_356 = MORLEY CENTER (0.5727, 0.2361) X_358 = 2nd MORLEY-TAYLOR-MARR CENTER (0.5670, 0.2245) X_3281 = PERSPECTOR OF TRIANGLES P1P2P3 AND N1N2N3 (0.4849, 0.0695) X_1135 = 4th MORLEY-TAYLOR-MARR CENTER (0.5834, 0.2515) X_3283 = PERSPECTOR OF TRIANGLES S1S2S3 AND N1N2N3 (0.4589, -0.1050) X_3279 = PERSPECTOR OF TRIANGLES M1M2M3 AND N1N2N3 (0.5876, 0.2634) A B C X3 X356 X358 X3281 X1135 X3283 X3279 (a, b, c) = (5, 6, 7) | AB = 1

X3279 (PERSPECTOR OF TRIANGLES M1M2M3 AND N1N2N3) 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 \(f(A,B,C) = \cos(B/3) \cos(C/3) + \sin(A/3) \sin(2A/3)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(1.128824118861\)
▸ Incident Central Lines3 lines

{3, 356}, {358, 3281}, {1135, 3283}