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) = (a2 + bc)/a
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(894) lies on these lines:
1,87 2,7 6,75 8,193 10,1046 37,86 42,1045 65,257 72,1010 81,314 92,608 141,320 213,274 256,291 273,458 287,651 312,940 319,524 536,1100X(894) = reflection of X(319) in X(594)
X(894) = isogonal conjugate of X(893)
X(894) = isotomic conjugate of X(257)
X(894) = X(291)-Ceva conjugate of X(239)
X(894) = crossdifference of any two points on line X(663)X(788)
X(894) = X(171)-Hirst inverse of X(385)