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(1175)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1780) lies on these lines:
1,21 3,1779 4,580 27,1770 28,46 29,1737 35,71 90,1172 219,1333 579,1474 1010,1098 1214,1399 1408,1617X(1780) = X(27)-Ceva conjugate of X(284)