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 2B sin 2C - sin2(2A)](csc A)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = sin 2B sin 2C - sin2(2A)
X(401) lies on these lines:
2,3 50,338 97,276 248,290 264,577 287,511 323,525X(401) = reflection of X(297) in X(441)
X(401) = isogonal conjugate of X(1987)
X(401) = isotomic conjugate of X(1972)
X(401) = anticomplement of X(297)
X(401) = X(I)-Ceva conjugate of X(J) for these (I,J): (287,2), (511,385)
X(401) = crosspoint of X(276) and X(290)
X(401) = crosssum of X(217) and X(237)
X(401) = crossdifference of any two points on line X(51)X(647) X(401) = X(2)-Hirst inverse of X(3)