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Given a curve 
and 
a fixed point called the Pedal Point, then for a point 
on , draw a Line
Perpendicular to 
. The Envelope of these Lines as describes the curve is the
negative pedal of .
See also Pedal Curve
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 46-49, 1972.
Lockwood, E. H. ``Negative Pedals.'' Ch. 19 in A Book of Curves. Cambridge, England: Cambridge University Press,
pp. 156-159, 1967.