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) = [SBSC - 2SA(a2 + sqr(3) area)]/a
Trilinears F(13)/a - 2 csc(A + π/3) : F(13)/b - 2 csc(B + π/3) : F(13)/c - 2 csc(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)
The midpoint of X(616) and X(617) is the Steiner point, X(99).
X(616) lies on these lines: 2,13 3,299 4,627 14,148 15,532 20,633 30,298 69,74 302,381 303,549 489,2043 490,2044
X(616) = reflection of X(I) in X(J) for these (I,J): (13,618), (148,14), (617,99), (621,298)
X(616) = anticomplement of X(13)
X(616) = anticomplementary conjugate of X(621)
X(616) = X(298)-Ceva conjugate of X(2)