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) = 1 - cos B - cos C + (1 + 2/e)cos A, where e = (1 - 4 sin2ω)1/2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2572) lies on these lines:
1,3 9,2569 1342,1705 1343,1704 1698,2567 1699,2566 1700,2559 1701,2558 1702,2561 1703,2560 1706,2568 2017,2563 2018,2562