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(651)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1461) lies on these lines:
6,911 48,1419 57,909 58,1410 77,572 101,651 109,692 269,604 284,1439 514,653 658,662 913,1435 923,1042 1025,1332 1412,1427X(1461) = X(I)-Ceva conjugate of X(J) for these (I,J): (934,109), (1262,1407)
X(1461) = X(I)-cross conjugate of X(J) for these (I,J): (649,56), (1407,1262), (1415,109)
X(1461) = cevapoint of X(I) and X(J) for these (I,J): (6,1459), (56,649)