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) = a/[(b2 - c2)(2a2 - b2 - c2)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(691) is the antipode of X(842) on the circumcircle.
X(691) lies on these lines:
3,842 6,843 23,111 30,98 74,511 99,523 110,249 112,250 316,858 376,477 741,923 759,897 805,882X(691) = reflection of X(I) in X(J) for these (I,J): (23,187), (316,858), (842,3)
X(691) = isogonal conjugate of X(690)
X(691) = cevapoint of X(6) and X(351)
X(691) = X(I)-cross conjugate of X(J) for these (I,J): (23,250), (187,249), (351,6)