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(37)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1400) lies on these lines:
1,573 2,7 6,41 12,1213 19,208 25,31 36,572 37,65 42,181 44,583 58,1169 85,1218 108,1172 109,111 171,256 213,1042 222,967 292,694 308,349 388,966 478,603 651,1014 910,1200 1100,1319 1122,1418 1171,1412 1254,1426 1258,1432 1333,1415 1420,1449X(1400) = isogonal conjugate of X(333)
X(1400) = X(I)-Ceva conjugate of X(J) for these (I,J):
(6,1409), (56,1402), (57,65), (65,42), (108,663), (226,73), (951,55), (1415,649),(1427,1042)X(1400) = X(I)-cross conjugate of X(J) for these (I,J): (181,65), (213,42), (1402,1402)
X(1400) = cevapoint of X(213) and X(1402)
X(1400) = crosspoint of X(I) and X(J) for these (I,J): (6,19), (56,57), (65,1427), (225,226)
X(1400) = crosssum of X(I) and X(J) for these (I,J): (1,573), (2,63), (8,9), (283,284)
X(1400) = crossdifference of any two points on line X(522)X(663)
X(1400) = X(65)-Hirst inverse of X(1284)