## X(1437) (X(283)-BETH CONJUGATE OF X(283))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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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(283)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1437) lies on these lines:
3,49    21,104    28,60    35,692    48,255    56,58    163,911    182,474    215,1364    284,1433    849,1333    1014,1175

X(1437) = X(I)-Ceva conjugate of X(J) for these (I,J): (60,58), (81,1333)
X(1437) = X(603)-cross conjugate of X(58)
X(1437) = cevapoint of X(48) and X(184)
X(1437) = crosspoint of X(81) and X(1444)
X(1437) = crosssum of X(4) and X(451)

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