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(226)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1427) lies on these lines:
2,85 3,1448 6,57 7,941 25,34 31,1456 37,226 42,65 77,940 111,934 212,1155 278,393 307,1211 354,1458 581,942 1014,1169 1106,1451 1333,1396 1406,1454 1412,1461X(1427) = isogonal conjugate of X(2287)
X(1427) = X(I)-Ceva conjugate of X(J) for these (I,J): (269,1042), (1446,1439)
X(1427) = X(I)-cross conjugate of X(J) for these (I,J): (1400,65), (1410,1439)
X(1427) = cevapoint of X(1042) and X(1400)
X(1427) = crosspoint of X(I) and X(J) for these (I,J): (57,278), (269,279)
X(1427) = crosssum of X(I) and X(J) for these (I,J): (6,610), (9,219), (200,220)