## X(401) (BAILEY POINT)

 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.

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 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    323,525

X(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)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.