X2404

GIBERT-SIMSON TRANSFORM OF X107

X2404 = trilinear pole of line X133X1515 (the Simson line of X107)
< 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, 216 }: Central Line L(2, 216) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2430 = ISOGONAL CONJUGATE OF X(2404) (8.8312, 0.2564) X_2 = CENTROID (0.5374, 0.2000) X_216 = -CEVA CONJUGATE OF X(51) (0.5201, 0.1353) X_2404 = GIBERT-SIMSON TRANSFORM OF X(107) (0.6429, 0.5943) A B C X2430 X2 X216 X2404 (a, b, c) = (5, 6, 7) | AB = 1

X2404 (GIBERT-SIMSON TRANSFORM OF X107) 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): \(-0.412184897696\)

X2404 lies on the cubic K010.

▸ Incident Central Lines1 line

{2, 216}

▸ Functional Relations3 relations