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) = a[(a - b)2(a + b - c) - (c - a)2(c + a - b)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(665) lies on these lines:
37,900 101,109 187,237 241,514 244,866 292,659 743,761X(665) = midpoint of X(659) and X(876)
X(665) = isogonal conjugate of X(666)
X(665) = crosssum of X(I) and X(J) for these (I,J): (2,918), (6,659), (294,885), (518,650)
X(665) = crossdifference of any two points on line X(2)X(11)