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 csc2A cos(A + ω) : csc2B cos(B + ω) : csc2C cos(C + ω)
= f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc(b4 + c4 - a2b2 - a2c2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b4 + c4 - a2b2 - a2c2
X(325) lies on these lines:
2,6 3,315 5,76 11,350 22,160 25,317 30,99 39,626 114,511 115,538 187,620 232,297 250,340 264,305 274,442 383,622 523,684 621,1080
X(325) = midpoint of X(I) and X(J) for these (I,J): (99,316), (298,299)
X(325) = reflection of X(I) in X(J) for these (I,J): (115,625), (187,620), (385,230), (1513,114)
X(325) = isogonal conjugate of X(1976)
X(325) = complement of X(385)
X(325) = anticomplement of X(230)
X(325) = cevapoint of X(2) and X(147)
X(325) = X(I)-cross conjugate of X(J) for these (I,J): (114,2), (511,297)
X(325) = crossdifference of any two points on line X(32)X(512)
X(325) = X(2)-Hirst inverse of X(69)