X3280

PERSPECTOR OF TRIANGLES P1P2P3 AND T1T2T3

X3280 is the perspector of triangles p1p2p3 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, 3276 }: Central Line L(3, 3276) 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_3276 = CENTER OF 2nd MORLEY TRIANGLE (0.4192, -0.0726) X_3280 = PERSPECTOR OF TRIANGLES P1P2P3 AND T1T2T3 (0.5240, 0.1540) A B C X16 X358 X3 X3276 X3280 (a, b, c) = (5, 6, 7) | AB = 1

X3280 (PERSPECTOR OF TRIANGLES P1P2P3 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 \(f(A,B,C) = 2 \cos(A/3) - \cos A - 2 \cos(B/3) \cos(C/3)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(4.328855138091\)
▸ Incident Central Lines2 lines

{3, 3276}, {16, 358}