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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) = [bc(b2 - c2)]2cos3A
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2972) lies on these lines:
2,1972 3,74 25,1073 69,1942 122,125 127,136 394,426 511,852 1368,2974 1624,2781
X(2972) = X(I)-Ceva conjugate of X(J) for these I,J: 3,520 264,525 1073,647
X(2972) = crosspoint of X(I) and X(J) for these I,J: 3,520 64,523 264,525
X(2972) = crosssum of X(I) and X(J) for these I,J: 4,107 20,110 112,184