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(16)/a - 2 sin(A - π/3) : F(16)/b - 2 sin(B - π/3) : F(16)/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(622) lies on these lines: 2,13 3,303 4,69 5,302 14,532 20,628 30,299 183,1080 265,301 298,381 325,383 343,473 394,472
X(622) = reflection of X(I) in X(J) for these (I,J): (16,624), (617,299), (621,316)
X(622) = isotomic conjugate of X(2993)
X(622) = anticomplement of X(16)
X(622) = anticomplementary conjugate of X(617)
X(622) = X(301)-Ceva conjugate of X(2)