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 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 92,257 232,325 249,316 287,685 315,394 340,524 525,850X(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)