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 cos A - 4 cos B cos C : cos B - 4 cos C cos A : cos C - 4 cos A cos B
Barycentrics a(cos A - 4 cos B cos C) : b(cos B - 4 cos C cos A) : c(cos C - 4 cos A cos B)
X(382) lies on these lines: 2,3 64,265 155,399 185,568 195,1498 355,516 952,962
X(382) is the {X(5),X(20)}-harmonic conjugate of X(3).
X(382) = reflection of X(I) in X(J) for these (I,J): (3,4), (20,5), (110,1539), (550,546)
X(382) = inverse-in-orthocentroidal-circle of X(546)
X(382) = anticomplement of X(550)