## X(486) (INNER VECTEN POINT)

 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           sec(A + π/4) : sec(B + π/4) : sec(C + π/4)
=1/(sin A - cos A) : 1/(sin B - cos B) : 1/(sin C - cos C)

Trilinears           sin A - cos(B - C) : sin B - cos(C - A) : sin C - cos(A - B) (Peter J. C. Moses, 8/22/03)

Barycentrics    sin A sec(A + π/4) : sin B sec(B + π/4) : sin C sec(C + π/4)

X(486) is a perspector of triangles associated with squares that circumscribe ABC. For details and references,
see X(485). (Floor van Lamoen, 4/26/98)

X(486) lies on these lines: 2,371    3,615    4,372    5,6    76,492    226,482    490,671

X(486) = reflection of X(487) in X(642)
X(486) = isogonal conjugate of X(372)
X(486) = isotomic conjugate of X(491)
X(486) = complement of X(487)
X(486) = anticomplement of X(642)
X(486) = X(3)-cross conjugate of X(485)
X(486) = external center of similitude of nine-point circle and 2nd Lemoine circle

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