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(296)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1758) lies on these lines:
1,3 21,1254 43,1708 73,1046 108,240 223,1707 225,1247 226,846 238,1465 411,774 651,896 920,1745 1044,1158 1054,1738X(1758) = isogonal conjugate of X(2648)
X(1758) = X(1937)-Ceva conjugate of X(1)
X(1758) = X(1937)-aleph conjugate of X(1758)