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(333)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1765) lies on these lines:
1,1409 3,9 6,1012 7,1020 19,1158 20,391 21,572 63,321 71,515 580,1778 608,1777 1707,1709 1735,1880 1768,1781X(1765) = X(I)-aleph conjugate of X(J) for these (I,J): (29,1754), (92,1744), (366,1047)