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(398) lies on these lines:
3,395 4,6 5,14 13,546 15,18 16,550 30,62 51,463 141,633 184,462 203,496 524,634 533,636X(398) is the {X(4),X(6)}-harmonic conjugate of X(397).
> X(398) = crosspoint of X(4) and X(18)
X(398) = crosssum of X(3) and X(62)