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/2 : cos B/2 : cos C/2
= [a(b + c - a)]1/2 : [b(c + a - b)]1/2 : [c(a + b - c)]1/2Barycentrics sin A cos A/2 : sin B cos B/2 : sin C cos C/2
X(259) lies on these lines: 1,168 258,289 260,266
X(259) = isogonal conjugate of X(174)
X(259) = X(I)-Ceva conjugate of X(J) for these (I,J): (174,266), (260,55)
X(259) = cevapoint of X(1) and X(503)
X(259) = crosspoint of X(I) and X(J) for these (I,J): (1,258), (174,188)
X(259) = crosssum of X(I) and X(J) for these (I,J): (1,173), (259,266)