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) = [SBSC + 2SA(a2 - sqr(3) area)]/a
Trilinears F(18)/a + 2 sec(A + π/3) : F(18)/b + 2 sec(B + π/3) : F(18)/c + 2 sec(C + π/3)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
Erect equilateral triangles inwards on the sides of triangle ABC; the circumcenter of the apices is X(628). (Peter Moses, 7/16,2003)
X(628) lies on these lines: 2,18 3,299 4,617 5,303 15,636 20,622 54,69 62,619 140,298
X(628) = reflection of X(18) in X(630)
X(628) = anticomplement of X(18)
X(628) = anticomplementary conjugate of X(634)
X(628) = X(303)-Ceva conjugate of X(2)