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[-a4 + 2a2(a + b + c)2 + (b2 - c2)2]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = -a4 + 2a2(a + b + c)2 + (b2 - c2)2
X(387) lies on these lines:
1,2 4,6 20,58 40,579 65,278 81,377 390,595 443,940X(387) = crossdifference of any two points on line X(520)X(649)