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(84)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1413) lies on these lines:
1,84 3,1167 6,603 34,1407 57,937 64,1364 73,939 86,285 189,1220 280,1222 998,1448 1406,1411 1408,1474X(1413) = X(I)-Ceva conjugate of X(J) for these (I,J): (84,56), (1422,1436)
X(1413) = X(I)-cross conjugate of X(J) for these (I,J): (608,1407), (1106,56)
X(1413) = crosspoint of X(84) and X(1256)
X(1413) = crosssum of X(40) and X(1103)