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(b2c2 + c2a2 + a2b2 - a4)
Barycentrics b2c2 + c2a2 + a2b2 - a4 : c2a2 + a2b2 + b2c2 - b4 : a2b2 + b2c2 + c2a2 - c4
X(1078) lies on these lines:
2,32 3,76 5,316 24,264 35,350 39,385 54,69 140,325 186,1235 187,384 194,574 274,404 298,619 279,618 302,635 303,636X(1078) = anticomplement of X(1506)
X(1078) = X(249)-Ceva conjugate of X(99)