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 = [64*(area)3]/(2e3 + e2 - e1), where
e1, e2, e3 are as for X(569)Barycentrics (sin A)f(A,B,C): (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(570) lies on these lines: 2,311 3,6 53,232 115,128 140,231 157,184
X(570) = inverse-in-Brocard-circle of X(571)
X(570) = complement of X(311)
X(570) = crosspoint of X(2) and X(54)
X(570) = crosssum of X(5) and X(6)