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) = - (cos A)/x + (cos B)/y + (cos C)/z, x : y : z = X(212)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1742) lies on these lines:
1,7 3,238 35,1745 40,511 43,165 48,1633 87,572 259,503 266,844 376,1064 651,1253 846,1709 971,984X(1742) = reflection of X(1) in X(991)
X(1742) = X(55)-Ceva conjugate of X(1)
X(1742) = X(I)-aleph conjugate of X(J) for these (I,J): (1,57), (6,978), (9,40), (55,1742), (174,1445), (188,63), (259,1), (365,1743), (366,169)