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) = bc(b2 + c2 - 5a2),
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b2 + c2 - 5a2
X(1992) lies on these lines:
2,6 4,542 30,1351 145,190 218,1332 317,1249 344,1743 376,511 575,631X(1992) = midpoint of X(2) and X(193)
X(1992) = reflection of X(I) in X(J) for these (I,J): (2,6), (69,2), (599,597)
X(1992) = anticomplement of X(599)
X(1992) = X(598)-Ceva conjugate of X(2)