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) = e cos B cos C + cos(A - ω), e = (1 - 4 sin2 ω)1/2
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)The circle (X(4),2R) is identified at X(2474).
X(2542) lies on these lines:
2,1341 4,83 10,1705 20,1340 388,1675 497,1674 516,1704 1587,1668 1588,1669 1678,2551 1679,2550 2011,2545 2012,2544 2033,2549 2034,2548 2469,2553 2470,2552