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(280)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1753) lies on these lines:
1,947 3,33 4,9 34,517 46,208 55,1887 63,318 204,580 225,1217 475,946 1068,1435 1158,1726 1445,1895 1593,1824 1597,1871 1708,1712X(1753) = X(92)-aleph conjugate of X(1767)