X2403

GIBERT-SIMSON TRANSFORM OF X106

X2403 = isogonal conjugate of X2429
< 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) { 2, 514 }: Central Line L(2, 514) { 523, 1222 }: Central Line L(523, 1222) { 901, 2398 }: Central Line L(901, 2398) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2429 = ISOGONAL CONJUGATE OF X(2403) (-0.3947, -0.3868) X_2 = CENTROID (0.5374, 0.2000) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1222 = ISOGONAL CONJUGATE OF X(1201) (0.5108, 0.1870) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_2398 = GIBERT-SIMSON TRANSFORM OF X(101) (1.4898, 1.1331) X_2403 = GIBERT-SIMSON TRANSFORM OF X(106) (1.0000, -0.0000) A B C X2429 X2 X514 X523 X1222 X901 X2398 X2403 (a, b, c) = (5, 6, 7) | AB = 1

X2403 (GIBERT-SIMSON TRANSFORM OF X106) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = bc(b - c)(3a - b - c)/(2a - b - c)\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.196755487873\)

X2403 lies on the cubic K010.

▸ Incident Central Lines3 lines

{2, 514}, {523, 1222}, {901, 2398}

▸ Functional Relations3 relations