X1481

POINT ASTEROPE

(For the 2nd Shadow Point, see X6580.
< 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) { 1, 1406 }: Central Line L(1, 1406) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_1406 = -BETH CONJUGATE OF X(46) (0.6653, 0.5088) X_1481 = POINT ASTEROPE (0.6161, 0.3645) A B C X1 X1406 X1481 (a, b, c) = (5, 6, 7) | AB = 1

X1481 (POINT ASTEROPE) 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 \(f(A,B,C) = (2 - \cos A)/(2 + \cos A - \cos B - \cos C)\)
Search Value (6, 9, 13): \(-0.121989073493\)
▸ Incident Central Lines2 lines

{1, 1406}, {2316, 4253}