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(10)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1710) lies on these lines:
1,1437 19,91 28,1725 30,40 35,228 46,407 109,1825 1046,1777 1720,1781 1770,1782X(1710) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1724), (92,1730)