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(264)
Trilinears cot 2A : cot 2B : cot 2C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1748) lies on these lines:
19,27 31,240 158,920 162,1096 412,1158 653,1708 1013,1859 1445,1767 1776,1857X(1748) = isogonal conjugate of X(1820)
X(1748) = cevapoint of X(19) and X(920)
X(1748) = X(I)-cross conjugate of X(J) for these (I,J): (563,1), (2180,47)
X(1748) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1740), (92,1), (264,63), (331,1445), (811,662), (823,162), (1969,1760)