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) = tan2A + tan B tan C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1957) lies on these lines:
1,204 2,1430 19,1707 29,1468 31,92 42,1013 43,1783 63,240 158,255 171,281 212,243 238,278 242,1395 896,1748 1496,1895 1724,1838X(1957) = X(1910)-Ceva conjugate of X(240)