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) = - (cos A)/x + (cos B)/y + (cos C)/z, x : y : z = X(521)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1768) lies on the Bevan circle and these lines:
1,104 3,191 10,153 11,57 36,1727 40,550 46,80 63,100 119,1698 149,516 484,515 971,1155 1156,1445 1317,1697 1708,1750 1765,1781X(1768) = reflection of X(I) in X(J) for these (I,J): (1,104), (153,10)
X(1768) = X(522)-Ceva conjugate of X(1)
X(1768) = X(I)-aleph conjugate of X(J) for these (I,J): (2,514), (174,905), (366,650), (508,657), (522,1768)