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) = bc[b + c + a cos(A - ω)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b + c + a cos(A - ω)
X(1680) lies on these lines: 2,1673 8,1672 9,1701 10,182 371,2014 372,2013 958,1343 1329,1676 1342,1376 1377,1688 1378,1687 1573,2036 1574,2035 1700,1706