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) = sin3C sin 2B sin(C - A) + sin3B sin 2C sin(B - A)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A)f(A,B,C)
X(858) lies on these lines: 2,3 50,230 67,524 125,511 126,625 316,691 325,523 842,925
X(858) = midpoint of X(316) and X(691)
X(858) = reflection of X(23) in X(468)
X(858) = isogonal conjugate of X(1177)
X(858) = inverse-in-circumcircle of X(22)
X(858) = inverse-in-nine-point-circle of X(2)
X(858) = inverse-in-orthocentroidal-circle of X(1995) X(858) = complement of X(23)
X(858) = anticomplement of X(468)
X(858) = crosssum of X(184) and X(187)
X(858) = crossdifference of any two points on line X(32)X(647)