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 1/(ab + ac - bc) : 1/(bc + ba - ca) : 1/(ca + cb - ab)
Barycentrics a/(ab + ac - bc) : b/(bc + ba - ca) : c/(ca + cb - ab)
X(87) lies on these lines: 1,192 6,43 9,292 10,979 34,242 56,238 58,978 106,932
X(87) = isogonal conjugate of X(43)
X(87) = cevapoint of X(2) and X(330)
X(87) = X(2)-cross conjugate of X(1)
X(87) = X(932)-beth conjugate of X(87)