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) = sin A - e sin(A + ω) - sin(A + 2ω)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)Of the two points of intersection of the Brocard axis, X(3)X(6) with the Moses circle, X(2028) is the one nearer to X(3). Points X(2028) and X(2029) are the points of intersection of the Brocard axis and the asymptotes of the Kiepert hyperbola; see X(2039) and X(2040). For a description of the Moses circle and others, see the notes just above X(1662).
X(2028) lies on these lines: 3,6 115,2039 1506,2040