X2413

GIBERT-SIMSON TRANSFORM OF X1141

X2413 = trilinear pole of line X137X1510 (the Simson line of X1141)
< 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2439 = ISOGONAL CONJUGATE OF X(2413) (584.4900, 505.5037) X_2413 = GIBERT-SIMSON TRANSFORM OF X(1141) (1.0088, 0.0628) A B C X2439 X2413 (a, b, c) = (5, 6, 7) | AB = 1

X2413 (GIBERT-SIMSON TRANSFORM OF X1141) 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) is as given just before X2394
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.823939328997\)

X2413 lies on the cubic K010.

▸ Functional Relations2 relations