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(B - C) - 2 cos(A + π/3)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,B,A)
X(397) lies on these lines: 3,396 4,6 5,13 14,546 15,550 16,17 30,61 51,462 141,634 184,463 202,496 524,633 532,635
X(397) is the {X(4),X(6)}-harmonic conjugate of X(398).
X(397) = crosspoint of X(4) and X(17)
X(397) = crosssum of X(3) and X(61)