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[e(b + c) + a cos(A - ω)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = e(b + c) + a cos(A - ω)
X(1678) lies on these lines:
2,1675 8,1674 9,1705 10,182 958,1341 1329,1348 1340,1376 1377,1668 1378,1669 1573,2034 1574,2033 1704,1706 2011,2014 2012,2013