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(239)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1429) lies on these lines:
1,3 6,1423 7,604 73,1244 81,1432 83,226 222,1424 238,1284 239,385 552,553 651,1404 1458,1462X(1429) = X(I)-Ceva conjugate of X(J) for these (I,J): (1447,238), (1462,57)
X(1429) = X(1284)-cross conjugate of X(1447)
X(1429) = crossdifference of any two points on line X(210)X(650)
X(1429) = X(I)-Hirst inverse of X(J) for these (I,J): (6,1423), (56,57)