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) = a(cos2A - cos B cos C)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1951) lies on these lines:
1,1729 3,607 6,41 19,577 21,270 104,294 517,906 652,663 851,1430 910,1415 1262,1465 1409,1630X(1951) = isogonal conjugate of X(1952)
X(1951) = X(1949)-Ceva conjugate of X(1950)
X(1951) = crosspoint of X(243) and X(1944)
X(1951) = crosssum of X(I) and X(J) for these (I,J): (296,1945), (1947,1948)