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(908)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1465) lies on these lines:
1,227 2,92 3,34 5,225 6,57 36,1455 46,221 56,998 65,386 73,942 88,1443 106,1168 109,1155 241,514 244,1458 474,1038 517,1457 919,1462 1193,1254 1279,1421 1448,1466X(1465) = X(I)-Ceva conjugate of X(J) for these (I,J): (7,1361), (88,57), (1443,1319)
X(1465) = X(1361)-cross conjugate of X(7)