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) = (s2 - r2) cos A - 2rs sin A - (s2 + r2) sin(A + ω),
where s = (a + b + c)/2 and r = inradius = [area(ABC)]/sBarycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2020) lies on these lines:
3,6 10,2009 43,2018 181,2008 1682,2007 1695,2017X(2020) = reflection of X(2019) in X(2092)