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(3a2 + b2 - c2)(3a2 - b2 + c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)X(1285) is the homothetic center of the antipedal triangle of X(2) and the pedal triangle of X(6). (Darij Grinberg, Hyacinthos #6577, 2/21/03). See also X(3066).
X(1285) lies on these lines: 2,1384 4,32 6,376 99,192 172,1058 193,1003 497,609 631,3053 1056,1914