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(284)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1754) lies on these lines:
1,3 4,580 5,582 20,58 25,1730 31,516 33,1708 47,1770 63,990 81,991 109,278 184,851 209,916 212,226 219,1376 238,1699 255,1074 283,377 386,411 394,1004 498,1794 579,1172 595,962 602,946 846,1744 950,1451 1707,1709 1726,1824 1743,1750X(1754) = X(I)-Ceva conjugate of X(J) for these (I,J): (579,1724), (1172,1)
X(1754) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1744), (29,1765), (365,1047), (1172,1754)