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(307)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1439) lies on these lines:
1,64 3,77 4,7 6,57 37,1020 54,1443 71,1214 72,307 74,934 86,658 241,579 284,1461 347,517 1014,1175 1042,1245 1088,1246X(1439) = X(I)-Ceva conjugate of X(J) for these (I,J): (658,905), (1446,1427)
X(1439) = X(I)-cross conjugate of X(J) for these (I,J): (73,1214), (656,1020), (1410,1427)
X(1439) = crosspoint of X(7) and X(77)
X(1439) = crosssum of X(I) and X(J) for these (I,J): (24,204), (33,55)