X3374

CSC(A - 3π/8) POINT

X3374 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) { 5, 371 }: Central Line L(5, 371) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_372 = {X(3),X(6)}-HARMONIC CONJUGATE OF X(371) (0.7148, 0.4568) X_3373 = SEC(A - 3π/8) POINT (0.5607, 0.2292) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_371 = KENMOTU POINT (CONGRUENT SQUARES POINT) (0.5652, 0.2097) X_3374 = CSC(A - 3π/8) POINT (1.1644, -2.3870) A B C X372 X3373 X5 X371 X3374 (a, b, c) = (5, 6, 7) | AB = 1

X3374 (CSC(A - 3π/8) POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\csc(A - 3\pi /8) : :\)
Search Value (6, 9, 13): \(6.889027693711\)
▸ Alternate Coordinates1 form

  • Trilinears: \(\sec(A + \pi /8) : :\)

X3374 lies on the Kiepert hyperbola.

▸ Incident Central Lines1 line

{5, 371}

▸ Functional Relations2 relations