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(99)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1414) lies on these lines:
7,757 58,1416 85,603 99,109 110,934 162,658 163,1019 348,1098 651,662 1014,1122X(1414) = X(I)-cross conjugate of X(J) for these (I,J): (110,662), (1019,1434)
X(1414) = cevapoint of X(I) and X(J) for these (I,J): (58,1019), (109,651)