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) = (b2 - c2)2(cos A - cos B cos C) cot2A
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b) where g(a,b,c) = a(b2 - c2)2(cos A - cos B cos C) cot2A
X(122) lies on the nine-point circle
X(122) = X(107)-of-medial triangle.
X(122) lies on these lines: 2,107 3,113 5,133 118,440 125,684 138,233
X(122) = reflection of X(133) in X(5)
X(122) = complementary conjugate of X(520)
X(122) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,520), (253,525)
X(122) = crosssum of X(I) and X(J) for these (I,J): (64,1301), (112,154)
X(122) = crosspoint of X(253) and X(525)
X(122) = crossdifference of any two points on line X(112)X(1301)