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) = (a + b + c)2 - 4bc
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Let RA be the radical axis of the Bevan circle and the A-excircle. Define RB and RC cyclically. The three radical axes form a triangle homothetic to triangle ABC, and X(2999) is the center of homothety. (Eric Danneels, Hyacinthos #10926, Dec. 5, 2004.
X(2999) lies on these lines:
1,2 3,1453 6,57 31,165 46,1203 58,937 63,1743 73,1467 244,1282 278,2331 440,1040 673,2258 748,968 940,1449 990,1750 1191,1697 1214,2257 1376,1386 1394,1466
X(2999) = isogonal conjugate of X(2297)
X(2999) = crosssum of X(9) and X(1449)