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(517)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1457) lies on these lines:
1,4 3,945 31,56 36,109 48,608 57,957 65,1193 201,960 222,999 350,664 392,1214 478,604 513,663 517,1465 1055,1415 1394,1420X(1457) = X(106)-Ceva conjugate of X(56)
X(1457) = crosspoint of X(I) and X(J) for these (I,J): (1,102), (56,1411)
X(1457) = crosssum of X(1) and X(515)
X(1457) = crossdifference of any two points on line X(9)X(652)