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(1212)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1475) lies on these lines:
1,672 6,41 39,42 57,279 58,163 71,583 213,1015 218,999 354,1212 579,1449 607,1398 649,764 673,1434 934,1170X(1475) = X(I)-Ceva conjugate of X(J) for these (I,J): (57,1418), (692,649), (934,663)
X(1475) = crosspoint of X(I) and X(J) for these (I,J): (6,57), (354,1418)
X(1475) = crosssum of X(2) and X(9)