X3400

TAN(A - 2ω) POINT

X3400 and related points occupy Bernard Gibert’s Table 38. See the note at X3364.
< 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3401 = COT(A - 2ω) POINT (1.0448, 0.0267) X_3400 = TAN(A - 2ω) POINT (0.9676, 0.9007) A B C X3401 X3400 (a, b, c) = (5, 6, 7) | AB = 1

X3400 (TAN(A - 2ω) POINT) 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 \(f(A,B,C) = \tan(A - 2\omega )\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-0.115143447031\)

X3400 lies on the cubic K457.

▸ Functional Relations1 relation