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(36)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1718) lies on these lines:
1,5 4,1717 6,1781 34,46 36,1455 90,1720 106,614 244,1468 1723,1783 1727,1735 1737,1870X(1718) = X(I)-Ceva conjugate of X(J) for these (I,J): (1737,46), (1870,1)
X(1718) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1727), (1870,1718)