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) = 1/[(b - c)2 + a(b + c - 2a)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1156) lies on these lines:
1,651 4,653 7,11 8,190 9,100 21,662 44,294 80,516 90,411 104,971 144,149 314,799 390,952 673,885X(1156) = midpoint of X(144) and X(149)
X(1156) = reflection of X(I) in X(J) for these (I,J): (7,11), (100,9)
X(1156) = isogonal conjugate of X(1155)