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(516)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1456) lies on these lines:
1,971 6,19 7,1386 31,1427 55,223 56,269 77,1001 109,1155 154,1435 222,354 227,1253 238,241 513,663 518,651 603,1418 614,1407 1042,1104 1428,1462X(1456) = X(105)-Ceva conjugate of X(56)
X(1456) = crosspoint of X(I) and X(J) for these (I,J): (1,972), (269,1462)
X(1456) = crosssum of X(1) and X(971)
X(1456) = crossdifference of any two points on line X(9)X(521)