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 a/[(a - b) cot C + (a - c) cot B] : b/[(b - c) cot A + (b - a) cot C] : c/[(c - a) cot B + (c - b) cot A]
Barycentrics f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a2/[(a - b) cot C + (a - c) cot B]X(103) = circumcircle-antipode of X(101)
X(103) = Ψ(X(101), X(3))
X(103) lies on these lines:
1,934 2,118 3,101 4,116 20,150 27,107 33,57 55,109 58,112 63,100 99,1043 102,928 295,813 376,544 515,929 516,927 572,825 672,919 910,971X(103) = midpoint of X(20) and X(150)
X(103) = reflection of X(I) in X(J) for these (I,J): (4,116), (101,3), (152,118)
X(103) = isogonal conjugate of X(516)
X(103) = complement of X(152)
X(103) = anticomplement of X(118)
X(103) = X(21)-beth conjugate of X(934)