The tangential circle of areference triangle is thecircumcircle of thetangential triangle. Its center isKimberling center, which has center function

(1)

(Kimberling 1994) and its radius is

(2)

where is thecircumradius of thereference triangle.

It hascircle function

(3)

corresponding to thecircumcenter of thereference triangle ().

The tangential circle passes through Kimberling center.

It is orthogonal to theStevanović circle.

See also

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More things to try:

• {1/4, -1/2, 1} cross {1/3, 1, -2/3}
• Dynamic options
• int e^(-a t) dt, t=0..a

References

Referenced on Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Tangential Circle."FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/TangentialCircle.html

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