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(b + c) + a(b2 - bc + c2) - bc(b + c)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(978) lies on these lines:
1,2 3,238 9,39 21,748 31,404 40,1050 46,1054 56,979 57,1046 58,87 72,982 171,474 266,361 631,1064 651,1106 960,986X(978) = isogonal conjugate of X(979)
X(978) = X(56)-Ceva conjugate of X(1)