Thanks to visit codestin.com
Credit goes to mathworld.wolfram.com

TOPICS
Search

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

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications