## X(982) (INTERSECTION OF LINES X(1)X(3) AND X(2)X(38))

 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) = b2 - bc + c2
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(982) lies on these lines:
1,3    2,38    7,256    43,518    58,977    63,238    72,978    81,985    222,613    226,262    240,278    257,330    310,871    312,726    404,976    758,995    846,1001

X(982) = isogonal conjugate of X(983)
X(982) = crosspoint of X(I) and X(J) for these (I,J): (7,330), (81,310)

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