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) = g(b,c,a) + g(c,b,a), and
g(b,c,a) = b3c/[(b - c) cot A + (b - a) cot C]Barycentrics h(a,b,c) : h(b,c,a) : h(c,a,b) where h(a,b,c) = af(a,b,c)
X(118) lies on the nine-point circle
X(118) = X(103)-of-medial triangle.
X(118) lies on these lines: 2,103 4,101 5,116 11,226 117,928 122,440 136,430 381,544 516,910
X(118) = midpoint of X(I) and X(J) for these (I,J): (4,101), (103,152)
X(118) = reflection of X(116) in X(5)
X(118) = complementary conjugate of X(516)
X(118) = X(4)-Ceva conjugate of X(516)