X3371

COS(A - 3π/8) POINT

X3371 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) { 3, 6 }: Brocard Axis A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3373 = SEC(A - 3π/8) POINT (0.5607, 0.2292) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3371 = COS(A - 3π/8) POINT (0.5819, 0.2373) A B C X3373 X3 X6 X3371 (a, b, c) = (5, 6, 7) | AB = 1

X3371 (COS(A - 3π/8) POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\sin(A + \pi 8) : :\)
Search Value (6, 9, 13): \(1.690906688936\)
▸ Alternate Coordinates1 form

  • Trilinears: \(\cos(A - 3\pi /8) : :\)

▸ Incident Central Lines1 line

{3, 6}

▸ Functional Relations5 relations