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 (cos A - cos B cos C)a2 : (cos B - cos C cos A)b2 : (cos C - cos A cos B)c2
= a(tan B + tan C - tan A) : b(tan C + tan A - tan B): c(tan A + tan B - tan C)Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin2 A)(tan B + tan C - tan A)
X(154) = X(2)-of-tangential triangle
X(154) lies on these lines:
3,64 6,25 22,110 26,155 31,56 48,55 160,418 197,692 198,212 205,220 237,682
X(154) is the {X(26),X(156)}-harmonic conjugate of X(155). For a list of harmonic conjugates of X(154), click More at the top of this page.
X(154) = isogonal conjugate of X(253)
X(154) = X(3)-Ceva conjugate of X(6)
X(154) = crosssum of X(I) and X(J) for these (I,J): (64,1073), (122,525)
X(154) = X(109)-beth conjugate of X(154)