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 sin(A + π/6) : sin(B + π/6) : sin(C + π/6)
= cos(A - π/3) : cos(B - π/3) : cos(C - π/3)Barycentrics sin A sin(A + π/6) : sin B sin(B + π/6) : sin C sin(C + π/6)
X(61) lies on these lines:
1,203 2,18 3,6 4,13 5,14 30,397 56,202 140,395 299,636 302,629 618,627X(61) is the {X(3),X(6)}-harmonic conjugate of X(62).
X(61) = reflection of X(633) in X(635)
X(61) = isogonal conjugate of X(17)
X(61) = inverse-in-Brocard-circle of X(62)
X(61) = complement of X(633)
X(61) = anticomplement of X(635)
X(61) = eigencenter of cevian triangle of X(14)
X(61) = eigencenter of anticevian triangle of X(16)
X(61) = X(14)-Ceva conjugate of X(16)
X(61) = crosspoint of X(302) and X(473)