X587

POINT ARCTURUS

< 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) { 2, 92 }: Central Line L(2, 92) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_587 = POINT ARCTURUS (0.5157, 0.1380) A B C X2 X92 X587 (a, b, c) = (5, 6, 7) | AB = 1

X587 (POINT ARCTURUS) 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 \(f(a,b,c) = bc[2(a + b + c) + (a - b - c) \tan A]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = 2(a + b + c) + (a - b - c) \tan A\)
Search Value (6, 9, 13): \(2.459114389696\)
▸ Incident Central Lines1 line

{2, 92}