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 = 12*area/(a2 + b2 + c2)Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a(a2 - 2b2 - 2c2)
Trilinears sin A + 3 cos A tan ω : sin B + 3 cos B tan ω : sin C + 3 cos C tan ω (Peter J. C. Moses, 8/22/03)
Barycentrics (sin A)f(A,B,C): (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(574) lies on these lines: 2,99 3,6 55,1015 110,353 183,538 230,549 232,378 805,843
X(574) = isogonal conjugate of X(598)
X(574) = inverse-in-Brocard-circle of X(187)
X(574) = internal center of similitude of circumcircle and Moses circle
X(574) = crossdifference of any two points on line X(351)X(523)