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 cos 2A : cos 2B : cos 2C = f(a,b,c) : f(b,c,a) : f(c,a,b), where
f(a,b,c) = a2(a4 + b4 + c4 - 2a2b2 - 2a2c2)Barycentrics a cos 2A : b cos 2B : c cos 2C
X(47) lies on these lines:
1,21 19,921 33,90 34,46 35,212 36,602 91,92 158,162 171,498 238,499X(47) is the {X(91),X(92)}-harmonic conjugate of X(564).
X(47) = isogonal conjugate of X(91)
X(47) = eigencenter of cevian triangle of X(92)
X(47) = eigencenter of anticevian triangle of X(48)
X(47) = X(92)-Ceva conjugate of X(48)
X(47) = crosssum of X(I) and X(J) for these (I,J): (656,1109)
X(47) = X(275)-aleph conjugate of X(92)
X(47) = X(I)-beth conjugate of X(J) for these (I,J): (110,34), (643,47)
X(47) = trilinear product of X(371) and X(372)