X3283

PERSPECTOR OF TRIANGLES S1S2S3 AND N1N2N3

X3283 is the perspector of triangles s1s2s3 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, 3277 }: Central Line L(3, 3277) { 1135, 3279 }: Central Line L(1135, 3279) { 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_3 = CIRCUMCENTER (0.5000, 0.1021) 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_1137 = 6th MORLEY-TAYLOR-MARR CENTER (0.4890, 0.0964) X_3281 = PERSPECTOR OF TRIANGLES P1P2P3 AND N1N2N3 (0.4849, 0.0695) X_3283 = PERSPECTOR OF TRIANGLES S1S2S3 AND N1N2N3 (0.4589, -0.1050) A B C X3 X3277 X1135 X3279 X1137 X3281 X3283 (a, b, c) = (5, 6, 7) | AB = 1

X3283 (PERSPECTOR OF TRIANGLES S1S2S3 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 \(f(A,B,C) = \cos A - 2 \sin(B/3) \sin(C/3) + \sin(A/3 - \pi /6)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-29.124405519869\)
▸ Incident Central Lines3 lines

{3, 3277}, {1135, 3279}, {1137, 3281}