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 bc/(b4 + c4 - a4) : ca/(c4 + a4 - b4) : ab/(a4 + b4 - c4)
Barycentrics 1/(b4 + c4 - a4) : 1/(c4 + a4 - b4) : 1/(a4 + b4 - c4)
X(66) lies on these lines:
2,206 3,141 6,427 68,511 73,976 193,895 248,571 290,317 879,924X(66) = reflection of X(I) in X(J) for these (I,J): (159,141), (1177,125)
X(66) = isogonal conjugate of X(22)
X(66) = isotomic conjugate of X(315)
X(66) = cyclocevian conjugate of X(2998)
X(66) = anticomplement of X(206)
X(66) = cevapoint of X(125) and X(512)
X(66) = X(32)-cross conjugate of X(2)
X(66) = crosssum of X(3) and X(159)