X2425

ISOGONAL CONJUGATE OF X2399

X2425 is the isogonal conjugate of X2399.
< 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, 41 }: Central Line L(6, 41) { 2149, 2427 }: Central Line L(2149, 2427) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2399 = GIBERT-SIMSON TRANSFORM OF X(102) (1.8787, 0.1585) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_2149 = -ISOCONJUGATE OF X(11) (0.5572, 0.4660) X_2427 = ISOGONAL CONJUGATE OF X(2401) (1.2000, 0.9798) X_2425 = ISOGONAL CONJUGATE OF X(2399) (0.7434, 0.6148) A B C X2399 X6 X41 X2149 X2427 X2425 (a, b, c) = (5, 6, 7) | AB = 1

X2425 (ISOGONAL CONJUGATE OF X2399) 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): \(-0.057855491791\)

X2425 lies on the cubic K162.

▸ Incident Central Lines2 lines

{6, 41}, {2149, 2427}

▸ Functional Relations2 relations