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) = 1/[a -2(b1 - c1) + a0(b -1 - c -1)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(813) lies on the circumcircle.
X(813) lies on these lines:
99,1016 100,649 101,667 103,295 105,238 106,292 163,827 190,789 334,767 335,675 644,932 689,799 692,825 739,902 765,798 898,1023 927,1025X(813) = isogonal conjugate of X(812)