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单词 Circle Evolute
释义

Circle Evolute


(1)


(2)

so the Radius of Curvature is
 
 (3)

and the Tangent Vector is
(4)

Therefore,
(5)
(6)

so
(7)
(8)

and the Evolute degenerates to a Point at the Origin.

See also Circle Involute


References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 77, 1993.

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 55-59, 1991.


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