## X(1416) (X(105)-BETH CONJUGATE OF X(105))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = (1 - cos A)u(a,b,c), where u : v : w = X(105)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1416) lies on these lines:
6,1362    31,57    32,56    58,1414    294,1468    727,927    738,1106    919,1458    951,1193    1357,1397    1395,1435

X(1416) = X(1462)-Ceva conjugate of X(1438)
X(1416) = cevapoint of X(56) and X(1428)
X(1416) = X(56)-Hirst inverse of X(1438)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.