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(57)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1723) lies on these lines:
1,6 19,46 35,380 36,610 57,1762 90,1172 169,1400 278,1708 281,1737 672,1766 920,1249 928,1047 1707,1709 1718,1783 1722,1880 1729,1744X(1723) = X(I)-Ceva conjugate of X(J) for these (I,J): (278,1), (1708,46)
X(1723) = crosspoint of X(653) and X(765)
X(1723) = crosssum of X(244) and X(652)
X(1723) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1709), (174,610), (273,1729), (278,1723), (366,1490), (508,1763), (509,1745)