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)2 - (a + b)(a + c)]/(b + c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1931) lies on these lines:
1,21 37,757 44,662 99,239 172,593 241,1414 261,894 661,1019 1014,1423 1326,1757 1444,1778 2641,2642X(1931) = X(1929)-Ceva conjugate of X(1963)
X(1931) = crosssum of X(1757) and X(1961)