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(1156)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1776) lies on these lines: 4,46 21,60 33,1707 63,497 109,1736 191,950 243,522 411,1898 519,1697 1005,1864 1155,1156 1725,1870 1748,1857
X(1776) = crosspoint of X(21) and X(1156)
X(1776) = crosssum of X(65) and X(1155)