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(1167)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1777) lies on these lines:
1,84 4,109 34,1158 35,1742 36,1044 46,1707 47,1754 90,1041 226,601 255,516 603,946 608,1765 1046,1710 1399,1836