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(20)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1712) lies on these lines:
1,204 4,57 9,1249 19,158 63,1895 108,1490 412,1445 774,1096 811,1102 920,1784 1103,1783 1158,1767 1708,1715 1713,1741 1714,1728X(1712) = X(I)-Ceva conjugate of X(J) for these (I,J): (63,19), (1895,1)
X(1712) = X(I)-aleph conjugate of X(J) for these (I,J): (2,2184), (1895,1712)