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 + b2 + c2 + 2bc (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(612) lies on these lines: 1,2 6,210 9,31 12,34 19,25 21,989 22,35 38,57 63,171 165,990 394,611 404,988 495,1060 518,940
X(612) = crossdifference of any two points on line X(649)X(905)