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) = (cos A)(csc 2B + csc 2C)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin 2A)(csc 2B + csc 2C)
X(418) lies on these lines: 2,3 51,216 97,110 154,160 157,161 184,577
X(418) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,216), (216,217)
X(418) = crosssum of X(264) and X(317)