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)/(y + z), x : y : z = X(223)
Trilinears (1 + cos 2A)/(1 + cos A) : (1 + cos 2B)/(1 + cos B) : (1 + cos 2C)/(1 + cos C) (M. Iliev, 4/12/07)
Trilinears [cos A sec(A/2)]2 : [cos B sec(B/2)]2 : [cos C sec(C/2)]2 (M. Iliev, 4/12/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1804) lies on these lines:
3,77 7,21 20,1440 36,269 55,1442 63,268 69,1809 198,651 219,1813 222,1790 326,1259 347,934 573,1461X(1804) = isogonal conjugate of X(1857)
X(1804) = X(I)-Ceva conjugate of X(J) for these (I,J): (348,222), (1444,77)