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 f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = (cos A)(1 - csc A sin B sin C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
Barycentrics (b2 + c2 - a2)(a2 - 2σ) : (c2 + a2 - b2)(b2 - 2σ) : (a2 + b2 - c2)(c2 - 2σ) (M. Iliev, 5/13/07)X(487) is a perspector of triangles associated with squares that circumscribe ABC. (Floor van Lamoen, 4/29/98)
X(487) lies on these lines: 2,371 3,69 4,489 20,638 193,372 376,490 492,631
X(487) = reflection of X(486) in X(642)
X(487) = anticomplement of X(486)
X(487) = anticomplementary conjugate of X(638)
X(487) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,488), (489,20), (491,2)