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(1222)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1476) lies on these lines:
1,1106 3,1000 4,496 8,56 9,604 21,1319 65,1320 80,1210 172,294 256,1458 314,1014 651,1201 942,1389 943,1385X(1476) = X(I)-cross conjugate of X(J) for these (I,J): (15,1222), (649,651)
X(1476) = cevapoint of X(1) and X(56)