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 3A : sin 3B : sin 3C
Barycentrics sin A sin 3A : sin B sin 3B : sin C sin 3C
X(50) lies on these lines: 3,6 67,248 112,477 115,231 230,858 338,401 647,654
X(50) is the {X(3),X(6)}-harmonic conjugate of X(566).
X(50) = isogonal conjugate of X(94)
X(50) = inverse-in-Brocard-circle of X(566)
X(50) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,215), (74,184), (94,49)
X(50) = crosspoint of X(I) and X(J) for these (I,J): (93,94), (186,323)
X(50) = crosssum of X(49) and X(50)
X(50) = crossdifference of any two points on line X(5)X(523)
X(50) = barycentric product of X(15) and X(16)