X2426

ISOGONAL CONJUGATE OF X2400

X2426 is the isogonal conjugate of X2400.
< 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, 31 }: Central Line L(6, 31) { 109, 692 }: Central Line L(109, 692) { 884, 919 }: Central Line L(884, 919) { 2283, 2424 }: Central Line L(2283, 2424) { 1110, 2427 }: Central Line L(1110, 2427) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_677 = TRILINEAR POLE OF LINE X(3)X(101) (1.3200, 0.4790) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_884 = ISOGONAL CONJUGATE OF X(883) (1.0241, 0.0337) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_2283 = -ISOCONJUGATE OF X(1024) (0.9032, 0.8428) X_2424 = ISOGONAL CONJUGATE OF X(2398) (1.0916, 0.1371) X_1110 = TRILINEAR SQUARE OF X(101) (0.5057, 0.3942) X_2427 = ISOGONAL CONJUGATE OF X(2401) (1.2000, 0.9798) X_2426 = ISOGONAL CONJUGATE OF X(2400) (0.9279, 0.7503) A B C X677 X101 X6 X31 X109 X692 X884 X919 X2283 X2424 X1110 X2427 X2426 (a, b, c) = (5, 6, 7) | AB = 1

X2426 (ISOGONAL CONJUGATE OF X2400) 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): \(-0.493521925854\)

X2426 lies on the cubic K162.

▸ Incident Central Lines5 lines

{6, 31}, {109, 692}, {884, 919}, {1110, 2427}, {2283, 2424}

▸ Functional Relations5 relations