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) = a(b2 + c2 - a2)/(b2 + c2 - 2a2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(895) lies on these lines:
4,542 6,110 54,575 65,651 66,193 67,524 69,125 74,511 287,879 290,892X(895) = reflection of X(I) in X(J) for these (I,J): (69,125), (110,6)
X(895) = isogonal conjugate of X(468)