X2429

ISOGONAL CONJUGATE OF X2403

X2429 is the isogonal conjugate of X2403.
< 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, 1201 }: Central Line L(6, 1201) { 101, 1293 }: Central Line L(101, 1293) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2403 = GIBERT-SIMSON TRANSFORM OF X(106) (1.0000, -0.0000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1201 = 3rd SARAGOSSA POINT OF X(56) (0.6184, 0.2793) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_2429 = ISOGONAL CONJUGATE OF X(2403) (-0.3947, -0.3868) A B C X2403 X6 X1201 X101 X1293 X2429 (a, b, c) = (5, 6, 7) | AB = 1

X2429 (ISOGONAL CONJUGATE OF X2403) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as given just before X2394
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(3.566347433238\)

X2429 lies on the cubic K162.

▸ Incident Central Lines2 lines

{6, 1201}, {101, 1293}

▸ Functional Relations2 relations