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) = a2(b - c)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(667) = radical center of the circumcircle, Brocard circle, and the circle with (diameter = segment X(1)X(3)) (Wilson Stothers, 3/31/2003)
X(667) lies on these lines:
3,1083 36,238 56,764 100,898 101,813 187,237 213,875 514,659 656,832 668,932 692,1110 788,798
X(667) = midpoint of X(649) and X(663)
X(667) = isogonal conjugate of X(668)
X(667) = inverse-in-circumcircle of X(1083)
X(667) = X(I)-Ceva conjugate of X(J) for these (I,J): (100,6), (101,213)
X(667) = crosspoint of X(I) and X(J) for these (I,J): (6,100), (58,101)
X(667) = crosssum of X(I) and X(J) for these (I,J): (2,513), (10,514), (75,693), (100,1332), (120,918), (523,1211), (850,1234)
X(667) = crossdifference of any two points on line X(2)X(37)