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 2A cos(B - C) : sin 2B cos(C - A) : sin 2C cos(A - B)
Barycentrics (sin A)(sin 2A)cos(B - C) : sin B sin 2B cos(C - A) : sin C sin 2C cos(A - B)
X(216) lies on these lines:
2,232 3,6 5,53 51,418 95,648 97,288 115,131 157,206 395,465 373,852 395,465 396,466 631,1075 1015,1060X(216) = isogonal conjugate of X(275)
X(216) = isotomic conjugate of X(276)
X(216) = inverse-in-Brocard-circle of X(577)
X(216) = complement of X(264)
X(216) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,5), (3,418), (5,51), (324,52)
X(216) = cevapoint of X(217) and X(418)
X(216) = X(217)-cross conjugate of X(51)
X(216) = crosspoint of X(I) and X(J) for these (I,J): (2,3), (5,343)
X(216) = crosssum of X(4) and X(6)
X(216) = crossdifference of any two points on line X(186)X(523)