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 + b)(a + c)(b2c2 - a2b2 - a2c2 + abc(b + c - a))
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2106) lies on these lines:
2,6 105,805 213,1509 238,741 292,1931 662,1914 873,894 1621,1964 2111,2112 2114,2117X(2106) = X(I)-Ceva conjugate of X(J) for these I,J: 238,1931 741,81
X(2106) = X(2664)-cross conjugate of X(2669)