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) = 3a - b - c (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1743) lies on these lines:
1,6 10,391 19,1783 31,200 36,198 41,572 43,165 48,1732 57,1122 58,936 71,380 101,604 169,1046 173,266 223,1708 239,1278 241,1419 258,259 269,651 282,1795 284,1778 294,1721 346,519 579,610 580,1490 966,1698 978,1400 999,1696 1249,1785 1750,1754X(1743) = X(I)-Ceva conjugate of X(J) for these (I,J): (57,1), (1476,55)
X(1743) = crosspoint of X(I) and X(J) for these (I,J): (57,1420), (651,765)
X(1743) = crosssum of X(244) and X(650)
X(1743) = X(I)-aleph conjugate of X(J) for these (I,J): (1,165), (2,1766), (7,169), (57,1743), (81,572), (174,9), (259,170), (266,43), (365,1742), (366,40), (507,164), (508,63), (509,1), (513,1053), (651,101)