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(29)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1715) lies on these lines:
1,3 4,1730 19,1158 185,851 412,1896 579,1249 1020,1068 1708,1712 1714,1779 1736,1872X(1715) = X(I)-Ceva conjugate of X(J) for these (I,J): (412,4), (1896,1)
X(1715) = crosssum of X(822) and X(2310)
X(1715) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1046), (29,3), (92,1762), (1896,1715)