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) = cos2A + cos B cos C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1935) lies on these lines:
1,90 2,603 3,1745 4,255 7,1451 9,478 10,109 12,171 20,212 21,73 31,388 34,63 40,1777 47,1478 56,87 57,1724 58,226 65,1046 84,1040 221,958 222,405 225,283 415,1098 497,1496 748,1106 774,1776 896,1254 940,1806 960,1455 978,1470 1056,1497 1400,1778 1448,1708 1761,1880X(1935) = X(296)-Ceva conjugate of X(1936)
X(1935) = cevapoint of X(1046) and X(1745)