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) = 3a3 + b3 + c3 + 3a2b + 3a2c + ab2 + ac2 - b2c - bc2 + 2abc
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1453) lies on these lines:
1,6 4,204 28,34 31,40 43,1009 56,223 73,995 84,1039 212,595 222,1467 387,950 581,1193 614,1468