X2412

GIBERT-SIMSON TRANSFORM OF X675

X2412 = isogonal conjugate of X2438
< 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_2438 = ISOGONAL CONJUGATE OF X(2412) (2.5206, 2.1208) X_2412 = GIBERT-SIMSON TRANSFORM OF X(675) (1.0308, 0.0782) A B C X2438 X2412 (a, b, c) = (5, 6, 7) | AB = 1

X2412 (GIBERT-SIMSON TRANSFORM OF X675) 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): \(-0.579629283943\)

X2412 lies on the cubic K010.

▸ Functional Relations1 relation