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 1 + 2(cos A - cos B - cos C) : 1 + 2(cos B - cos C - cos A) : 1 + 2(cos C - cos A - cos B)
Barycentrics a[1 + 2(cos A - cos B - cos C)] : b[1 + 2(cos B - cos C - cos A)] : c[1 + 2(cos C - cos A - cos B)]X(484) is the perspector of the excentral triangle and the triangle A'B'C', where A' is the reflection of vertex A in sideline BC and B', C' are determined cyclically. (Lawrence Evans, 10/22/98)
X(484) lies on these lines: 1,3 10,191 12,79 30,80 63,535 100,758 499,962 759,901 1046,1048
X(484) = reflection of X(I) in X(J) for these (I,J): (1,36), (36,1155)
X(484) = inverse-in-circumcircle of X(35)
X(484) = inverse-in-Bevan-circle of X(1)
X(484) = isogonal conjugate of X(3065)
X(484) = X(80)-Ceva conjugate of X(1)
X(484) = crossdifference of any two points on line X(650)X(1100)