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) = cos(B - C) - sin(A + ω)
Trilinears h(A,B,C) : h(B,C,A): h(C,A,B), where h(A,B,C) = csc(A - ω/2 - π/4) (M. Iliev, 5/13/07)Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(2010) lies on these lines:
2,1690 4,1689 5,39 10,2019 11,2008 12,2007 83,1687 98,1688 485,1671 486,1670 1346,2015 1347,2016 1348,2011 1349,2012 1698,2017 1699,2018 2026,2039 2027,2040X(2010) = reflection of X(2009) in X(115)
X(2010) = isogonal conjugate of X(1688)