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Inner Vecten Circle


InnerVectenCircle

The inner Vecten circle is the circumcircle of the inner Vecten triangle. It has center at Kimberling center X_(642), which is the complement of the inner Vecten point X_(486) and has triangle center function

 alpha_(642)=(a^2bc(3cosA+2cosBcosC)-2(b^2+c^2)Delta)/a,

where Delta is the area of the reference triangle, and its radius is a slightly complicated expression. Its circle function is

 l=-4a^3Delta[Delta-2bccos(B-C)].

No Kimberling centers lie on the circle.


See also

Inner Vecten Triangle, Outer Vecten Circle

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Cite this as:

Weisstein, Eric W. "Inner Vecten Circle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InnerVectenCircle.html

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