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[wb2 + vc2 - a(wb + vc)], u : v : w = X(3)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(910) lies on these lines:
3,169 6,57 9,165 19,25 32,1104 40,220 41,65 44,513 46,218 48,354 101,517 103,971 105,919 118,516 227,607 241,294X(910) = reflection of X(1530) in X(118)
X(910) = X(294)-Ceva conjugate of X(6)
X(910) = crosspoint of X(57) and X(105)
X(910) = crosssum of X(I) and X(J) for these (I,J): (1,910), (9,518)
X(910) = crossdifference of any two points on line X(1)X(905)
X(910) = X(57)-Hirst inverse of X(1419)