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) = sec2A + sec B sec C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1940) lies on these lines: 1,1075 2,1118 3,158 4,46 20,1857 27,1882 29,65 34,87 35,1784 55,1895 56,92 73,1047 162,1399 201,240 225,1247 281,388 318,1376 331,1447 412,1155 425,1098 471,580 1038,1096 1816,1896
X(1940) = X(1937)-Ceva conjugate of X(243)
X(1940) = cevapoint of X(46) and X(1047)