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) = csc(B + π/6)csc(C - π/6) + csc(C + π/6)csc(B - π/6)
= g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (3 sin2A - cos2A)(3 sin B sin C - cos B cos C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1493) lies on these lines:
3,54 5,539 49,143 110,1173 113,137 141,575 206,576
X(1493) = midpoint of X(54) and X(195)
X(1493) = isogonal conjugate of X(1487)
X(1493) = X(110)-Ceva conjugate of X(1510)
X(1493) = crosspoint of X(61) and X(62)
X(1493) = crosssum of X(17) and X(18)