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[- 2(b2 - c2)2 + a2(3b2 + 3c2 - a2) + 31/2[(b2 - c2)2 - a2(b2 + c2)]]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2045) lies on these lines:
2,3 17,485 18,486 302,637 303,638 397,590 398,615 491,634 492,633X(2045) = inverse-in-orthocentroidal-circle of X(2046)