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(103)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1736) lies on these lines:
1,6 10,774 25,1726 33,1708 46,1721 90,1041 109,1776 201,950 240,522 241,971 307,1210 920,1771 990,1445 1020,1876 1214,1864 1715,1872 1730,1824X(1736) = crosssum of X(31) and X(910)