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) = (1 - cos A)u(a,b,c), where u : v : w = X(20)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1394) lies on these lines:
1,84 3,223 9,478 21,77 28,34 40,109 56,269 73,991 78,651 165,227 614,1106 1104,1407 1398,1473 1420,1457X(1394) = X(I)-Ceva conjugate of X(J) for these (I,J): (21,56), (77,57)
X(1394) = X(154)-cross conjugate of X(610)
X(1394) = cevapoint of X(221) and X(1035)