Interactive Applet |
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) = [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 1624,2781X(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