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 f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = sin A cos 2A (M. Iliev, 4/12/07)
Barycentrics (sin A)f(A,B,C): (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(571) lies on these lines: 3,6 4,96 66,248 112,393 160,184 206,237 230,427 608,913
X(571) = inverse-in-Brocard-circle of X(570)
X(571) = X(4)-Ceva conjugate of X(184)
X(571) = crosspoint of X(2) and X(70)
X(571) = crosssum of X(I) and X(J) for these (I,J): (6,26), (338,525)
X(571) = barycentric product of X(371) and X(372)