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/(2a - b - c) : b/(2b - c - a) : c/(2c - a - b)
Barycentrics a2/(2a - b - c) : b2/(2b - c - a) : c2/(2c - a - b)X(106) = Λ(X(1), X(2))
X(106) = Ψ(X(101), X(6))
X(106) lies on these lines:
1,88 2,121 6,101 34,108 36,901 56,109 58,110 86,99 87,932 105,1022 238,898 269,934 292,813 614,998 663,840 789,870 833,977 919,1055X(106) = reflection of X(1293) in X(3)
X(106) = isogonal conjugate of X(519)
X(106) = anticomplement of X(121)
X(106) = X(36)-cross conjugate of X(58)
X(106) = X(I)-beth conjugate of X(J) for these (I,J): (21,100), (901,106)