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/[a0(b3 + c3) - a2(b1 + c1)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(759) lies on the circumcircle.
X(759) lies on these lines:
1,60 10,21 19,112 28,108 31,994 37,101 58,65 75,99 82,827 91,925 107,158 214,662 270,933 484,901 691,897 741,876 833,1010 840,1019 934,1014X(759) = isogonal conjugate of X(758)