X2439

ISOGONAL CONJUGATE OF X2413

X2439 is the isogonal conjugate of X2413.
< 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, 17 }: Central Line L(6, 17) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2413 = GIBERT-SIMSON TRANSFORM OF X(1141) (1.0088, 0.0628) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_17 = 1st NAPOLEON POINT (0.5666, 0.2383) X_2439 = ISOGONAL CONJUGATE OF X(2413) (584.4900, 505.5037) A B C X2413 X6 X17 X2439 (a, b, c) = (5, 6, 7) | AB = 1

X2439 (ISOGONAL CONJUGATE OF X2413) 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): \(7.450319648103\)

X2439 lies on the cubic K162.

▸ Incident Central Lines1 line

{6, 17}

▸ Functional Relations2 relations