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) = a4 + a3(b + c) - a2(2b2 + 3bc + 2c2)
+ a(b + c)(b2 + c2) - (b - c)2(b2 + bc + c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)X(1282) is the perspector of the excentral triangle and the triangle D'E'F' constructed at X(1281). Coordinates were found by Jean-Pierre Ehrmann. See Hyacinthos #6293 and #6315.
X(1282) lies on the Bevan circle and these lines:
1,41 8,1281 10,150 40,170 43,57 55,846 63,100 152,516 354,1051 518,910 659,926