X1017

POINT ALFIRK

X1017 = crosssum of X2 and X903
< 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) { 6, 101 }: Central Line L(6, 101) { 44, 214 }: Central Line L(44, 214) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_214 = -CEVA CONJUGATE OF X(44) (0.3571, 0.3499) X_1017 = POINT ALFIRK (0.4054, 0.3972) A B C X6 X101 X44 X214 X1017 (a, b, c) = (5, 6, 7) | AB = 1

X1017 (POINT ALFIRK) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a(b + c - 2a)^{2} : :\)
Search Value (6, 9, 13): \(1.176841399042\)

X1017 lies on the Brocard inellipse.

▸ Incident Central Lines2 lines

{6, 101}, {44, 214}

▸ Functional Relations7 relations