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(1214)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1781) lies on these lines:
1,19 6,1718 9,46 35,37 57,1723 71,484 165,846 169,1046 281,1478 1710,1720 1765,1768X(1781) = X(226)-Ceva conjugate of X(1)
X(1781) = X(I)-aleph conjugate of X(J) for these (I,J): (2,573), (4,1779), (174,6), (226,1781), (366,3), (508,2)