X3282

PERSPECTOR OF TRIANGLES S1S2S3 AND T1T2T3

X3282 is the perspector of triangles s1s2s3 and t1t2t3.
< 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) { 16, 358 }: Central Line L(16, 358) { 3, 3277 }: Central Line L(3, 3277) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_358 = 2nd MORLEY-TAYLOR-MARR CENTER (0.5670, 0.2245) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_3277 = CENTER OF 3rd MORLEY TRIANGLE (0.5081, 0.1427) X_3282 = PERSPECTOR OF TRIANGLES S1S2S3 AND T1T2T3 (0.5037, 0.1206) A B C X16 X358 X3 X3277 X3282 (a, b, c) = (5, 6, 7) | AB = 1

X3282 (PERSPECTOR OF TRIANGLES S1S2S3 AND T1T2T3) 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): \(5.613341606728\)
▸ Incident Central Lines2 lines

{3, 3277}, {16, 358}