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) = (b + c)a3 - (b2 - bc + c2)a2 - (b + c)(b2 + c2)a + bc(b2 + bc + c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2108) lies on these lines:
1,39 2,846 3,2053 31,43 42,1051 170,411 238,1575 672,1282 1011,1283X(2108) = X(I)-Ceva conjugate of X(J) for these I,J: 238,1 1575,43
X(2108) = X(I)-aleph conjugate of X(J) for these I,J: 1,1757 100,1026 238,2108 365,2664