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) = 1/[4 cos A + cos(A - 2B) + cos(A - 2C) - 3 cos(B - C)]
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)The reflection of X(476) in X(3), on the circumcircle. (Michel Tixier, 5/16/98)
X(477) lies on these lines: 3,476 30,110 50,112 74,523 107,186 376,691 378,935
X(477) = reflection of X(476) in X(3)