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) = bc(b + c - a)[3a2 + (b - c)2]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = (b + c - a)[3a2 + (b - c)2]
X(390) lies on these lines:
1,7 2,11 3,1058 4,495 8,9 30,1056 40,938 144,145 376,999 387,595 496,631 944,971 952,1000X(390) = midpoint of X(144) and X(145)
X(390) = reflection of X(I) in X(J) for these (I,J): (7,1), (8,9)
X(390) = anticomplement of X(2550)
X(390) = crossdifference of any two points on line X(657)X(665)