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(741) lies on the circumcircle.
X(741) lies on these lines: 1,99 21,932 31,110 42,81 58,101 86,789 107,1096 334,839 335,835 689,873 691,923 759,876 827,849 934,1042
X(741) = isogonal conjugate of X(740)