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[(b2 + bc + c2)a3 - (b + c)(b2 + c2)a2 - bc(b2 - bc + c2)a + b2c2(b + c)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2110) lies on these lines:
2,11 6,292 31,1979 238,2111 365,2119 672,2117 1185,1977 1423,1740 1931,2113X(2110) = X(I)-Ceva conjugate of X(J) for these I,J: 238,6 2223,55