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 (y + z) sec A : (z + x) sec B : (x + y) sec C, x : y : z = X(223)
Trilinears [cos(A/2) sec A]2 : [cos(B/2) sec B]2 : [cos(C/2) sec C]2 ( M. Iliev, 4/12/07)
Trilinears (1 + cos A)/(1 + cos 2A) : (1 + cos B)/(1 + cos 2B) : (1 + cos C)/(1 + cos 2C) (M. Iliev, 4/12/07)Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(223)
X(1857) lies on these lines:
2,243 4,65 8,1896 11,278 33,42 55,281 92,497 189,1364 388,1895 403,1068 412,1788 1478,1784 1748,1776X(1857) = isogonal conjugate of X(1804)
X(1857) = X(158)-Ceva conjugate of X(393)