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/[(b + c - a)[2a3 + (b + c)(a2 + (b - c)2)]]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(951) lies on these lines:
29,226 56,219 57,78 73,284 77,738 946,1067 947,1066X(951) = isogonal conjugate of X(950)
X(951) = cevapoint of X(56) and X(73)