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(84)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1728) lies on these lines:
1,6 3,1864 4,46 5,57 33,580 36,1490 40,1837 63,1210 84,1750 226,499 1707,1771 1711,1720 1712,1714X(1728) = X(4)-aleph conjugate of X(1720)