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(673)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1462) lies on these lines:
6,7 31,57 213,1170 241,1279 269,604 479,1407 608,1119 739,927 919,1465 934,1015 1014,1333 1428,1456 1429,1458X(1462) = X(I)-cross conjugate of X(J) for these (I,J): (1428,1014), (1438,105), (1456,269)
X(1462) = cevapoint of X(I) and X(J) for these (I,J): (6,1279), (57,1429), (1416,1438)
X(1462) = X(I)-Hirst inverse of X(J) for these (I,J): (57,105)