X2410

GIBERT-SIMSON TRANSFORM OF X476

X2410 = barycentric quotient X476/X477
< 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, 94 }: Central Line L(2, 94) { 2394, 2407 }: Central Line L(2394, 2407) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2436 = ISOGONAL CONJUGATE OF X(2410) (0.0172, 0.0411) X_2 = CENTROID (0.5374, 0.2000) X_94 = ISOGONAL CONJUGATE OF X(50) (0.9069, -0.1331) X_2394 = GIBERT-SIMSON TRANSFORM OF X(74) (1.3195, 0.1255) X_2407 = GIBERT-SIMSON TRANSFORM OF X(110) (1.2056, 0.9180) X_2410 = GIBERT-SIMSON TRANSFORM OF X(476) (1.4235, -0.5988) A B C X2436 X2 X94 X2394 X2407 X2410 (a, b, c) = (5, 6, 7) | AB = 1

X2410 (GIBERT-SIMSON TRANSFORM OF X476) 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): \(0.045916622893\)

X2410 lies on the cubic K010.

▸ Incident Central Lines2 lines

{2, 94}, {2394, 2407}

▸ Functional Relations4 relations