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 - 2 cos A sin 2ω
Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a(a4 - b4 - c4 + a2b2 + a2c2 - b2c2) (M. Iliev, 5/13/07)Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(2076) lies on these lines:
3,6 22,1613 99,732 141,384 385,698 599,1003 691,755 733,805 904,1964X(2076) = reflection of X(I) in X(J) for these (I,J): (6,1691), (1691,187)
X(2076) = inverse-in-circumcircle of X(37)
X(2076) = X(694)-Ceva conjugate of X(6)
X(2076) = crosspoint of X(249) and X(805)
X(2076) = crosssum of X(115) and X(804)