## X(297) (X(2)-HIRST INVERSE OF X(4))

 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.

 The JRE (Java Runtime Environment) is not enabled in your browser!

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

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           csc 2A cos(A + ω) : csc 2B cos(B + ω) : csc 2C cos(C + ω)
Barycentrics    sec A cos(A + ω) : sec B cos(B + ω) : sec C cos(C + ω)

X(297) lies on these lines:
2,3    6,317    53,141    69,393    76,343    83,275    92,257    232,325    249,316    287,685    315,394    340,524    525,850

X(297) = midpoint of X(340) and X(648)
X(297) = reflection of X(401) in X(441)
X(297) = isogonal conjugate of X(248)
X(297) = isotomic conjugate of X(287)
X(297) = inverse-in-orthocentroidal-circle of X(458)
X(297) = complement of X(401)
X(297) = anticomplement of X(441)
X(297) = cevapoint of X(232) and X(511)
X(297) = X(511)-cross conjugate of X(325)
X(297) = crossdifference of any two points on line X(184)X(647)
X(297) = X(I)-Hirst inverse of X(J) for (I,J) = (2,4), (193,1249)

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