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 1/[b2 + c2 - a(b + c)] : 1/[c2 + a2 - b(c + a)] : 1/[a2 + b2 - c(a + b)]
Barycentrics a/[b2 + c2 - a(b + c)] : b/[c2 + a2 - b(c + a)] : c/[a2 + b2 - c(a + b)]X(105) = Λ(X(1), X(6))
X(105) = Ψ(X(101), X(1))
X(105) lies on these lines:
1,41 2,11 3,277 6,1002 21,99 25,108 28,112 31,57 56,279 81,110 88,901 104,885 106,1022 165,1054 238,291 330,932 513,840 644,1083 659,884 666,898 825,985 910,919 961,1104X(105) = reflection of X(I) in X(J) for these (I,J): (644,1083), (1292,3)
X(105) = isogonal conjugate of X(518)
X(105) = anticomplement of X(120)
X(105) = cevapoint of X(1) and X(238)
X(105) = X(1)-Hirst inverse of X(294)
X(105) = X(I)-beth conjugate of X(J) for these (I,J): (21,101), (927,105)