X2428

ISOGONAL CONJUGATE OF X2402

X2428 is the isogonal conjugate of X2402.
< 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, 354 }: Central Line L(6, 354) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2402 = GIBERT-SIMSON TRANSFORM OF X(105) (0.9981, 0.0461) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_354 = WEILL POINT (0.5823, 0.2533) X_2428 = ISOGONAL CONJUGATE OF X(2402) (-1.9546, -1.7457) A B C X2402 X6 X354 X2428 (a, b, c) = (5, 6, 7) | AB = 1

X2428 (ISOGONAL CONJUGATE OF X2402) 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): \(3.903508845541\)

X2428 lies on the cubic K162.

▸ Incident Central Lines1 line

{6, 354}

▸ Functional Relations2 relations