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 + cot D/2 cos A,
cot D/2 = (a + b + c)2/(4*area)Barycentrics (sin A)f(A,B,C): (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(572) lies on these lines: 1,604 3,6 9,48 51,199 54,71 103,825 165,1051 169,610 184,1011 219,947 261,662 517,1100 594,952 631,966
X(572) = inverse-in-Brocard-circle of X(573)
X(572) = crosssum of X(11) and X(661)