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) = (b + c - a)/[a(b2 - c2)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = (b + c - a)/(b2 - c2)
X(645) satisfies the equation X*(incircle) = Kiepert parabola, where * denotes barycentric multiplication, defined by
(u : v : w) * (x : y : z) = ux : vy : wz (barycentric coordinates; see note at X(2)).
X(645) lies on these lines: 9,261 99,101 100,931 294,314 644,646 648,668 651,799 666,670