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 sec2(A/2) csc(2A) : sec2(B/2) csc(2B) : sec2(C/2) csc(2C)
= (1 - sec A)csc(A - ω) : (1 - sec B)csc(B - ω) : (1 - sec C)csc(C - ω)Barycentrics sec2(A/2) sec A : sec2(B/2) sec B : sec2(C/2) sec C
X(331) lies on these lines: 4,150 7,286 34,870 75,225 85,92 108,767 274,278
X(331) = isotomic conjugate of X(219)
X(331) = cevapoint of X(I) and X(J) for these (I,J): (7,278), (92,273)
X(331) = X(92)-cross conjugate of X(264)