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) = [sqr(3) SBSC + 2SA area]/a
Trilinears F(15)/a - 2 sin(A + π/3) : F(15)/b - 2 sin(B + π/3) : F(15)/c - 2 sin(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)
X(621) lies on these lines: 2,14 3,302 4,69 5,303 13,533 20,627 30,298 183,383 265,300 299,381 325,1080 343,472 394,473
X(621) = reflection of X(I) in X(J) for these (I,J): (15,623), (616,298), (622,316)
X(621) = isotomic conjugate of X(2992)
X(621) = anticomplement of X(15)
X(621) = anticomplementary conjugate of X(616)
X(621) = X(300)-Ceva conjugate of X(2)