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Envelope of Two Families of Plane Curves

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Abstract

The equation of the envelope of the family of curves { } is symmetric with respect to and . In this case the same curve is the envelope of the family of circles sliding along a figure-eight curve and the family of figure-eight curves sliding along a circle.;;

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The equation of the envelope of the family of curves { } is symmetric with respect to and . In this case the same curve is the envelope of the family of circles sliding along a figure-eight curve and the family of figure-eight curves sliding along a circle.;;

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Available abstract

The equation of the envelope of the family of curves { } is symmetric with respect to and . In this case the same curve is the envelope of the family of circles sliding along a figure-eight curve and the family of figure-eight curves sliding along a circle.;;

Key concepts: Envelope (radar), Plane curve, Family of curves, Plane (geometry), Mathematics, Geometry, Mathematical analysis, Telecommunications

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