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(sin 2B - sin 2C)[(b2 - c2)sin 2A - b2sin 2B + c2sin 2C]Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where
g(a,b,c) = (sin 2B - sin 2C)[(b2 - c2)sin 2A - b2sin 2B + c2sin 2C]
X(127) lies on the nine-point circle
X(127) = X(112)-of-medial triangle.
X(127) lies on these lines: 2,112 3,114 5,132 113,141 115,338 133,381 125,140
X(127) = reflection of X(132) in X(5)
X(127) = anticomplementary conjugate of X(525)
X(127) = X(4)-Ceva conjugate of X(525)