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(345)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1766) lies on these lines:
1,572 3,37 4,9 6,517 20,346 46,1400 63,321 101,610 165,846 190,1760 329,1763 355,594 672,1723 971,1350 1100,1482 1158,1761X(1766) = reflection of X(990) in X(3)
X(1766) = X(312)-Ceva conjugate of X(1)
X(1766) = X(I)-aleph conjugate of X(J) for these (I,J): (2,1743), (8,165), (75,169), (188,43), (190,101), (312,1766), (333,572), (366,978), (522,1053), (556,9)