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) = (b + c - a)/(b - c)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(644) satisfies the equation X*(incircle) = Yff parabola, where * denotes trilinear multiplication, defined by
(u : v : w) * (x : y : z) = ux : vy : wz.
X(644) lies on these lines: 8,220 78,728 100,101 105,1083 145,218 190,651 219,346 645,646 666,668 813,932 934,1025
X(644) = reflection of X(I) in X(J) for these (I,J): (105,1083), (1280,1)
X(644) = X(190)-Ceva conjugate of X(100)
X(644) = crosssum of X(764) and X(1015)
X(644) = crossdifference of any two points on line X(244)X(1357)