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[a4 - bca2 - (b3 + c3)a + 2b2c2]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2112) lies on these lines:
1,41 6,2054 31,292 172,1201 238,2113 604,651 672,2115 1015,1468 1914,2109 2106,2111X(2112) = X(238)-Ceva conjugate of X(31)