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) = cos A - e cos(B - C), where e = (1 - 4 sin2ω)1/2
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(2567) lies on these lines:
2,3 11,2565 12,2566 485,2560 486,2561 1329,2569 1342,1348 1343,1349 1670,2039 1671,2040 1676,2558 1677,2559 1698,2572 1699,2573 2009,2562 2010,2563