Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
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.
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