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) = (csc A)(tan B/2 + tan C/2 - tan A/2)Barycentrics tan B/2 + tan C/2 - tan A/2 : tan C/2 + tan A/2 - tan B/2 : tan A/2 + tan B/2 - tan C/2
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b),
where g(a,b,c) = 1/(a - b - c) + 1/(a - b + c) + 1/(a + b - c) (Peter J. C. Moses, 4/8/03)X(144) = X(7)-of-anticomplementary triangle
X(144) lies on these lines:
2,7 8,516 20,72 21,954 69,190 75,391 100,480 145,192 219,347 220,279 320,344
X(144) is the {X(7),X(9)}-harmonic conjugate of X(2).
X(144) = reflection of X(I) in X(J) for these (I,J): (7,9), (145,390), (149,1156)
X(144) = anticomplement of X(7)
X(144) = X(8)-Ceva conjugate of X(2)
X(144) = X(I)-beth conjugate of X(J) for these (I,J): (190,144), (645,346)