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Line Negative Pedal Curve


The negative pedal curve of a line specified parametrically by

x=at
(1)
y=0
(2)

is given by

x_n=2at-x
(3)
y_n=((x-at)^2)/y,
(4)

which is a parabola.


See also

Line, Negative Pedal Curve, Parabola

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References

Lockwood, E. H. A Book of Curves. Cambridge, England: Cambridge University Press, p. 157, 1967.

Referenced on Wolfram|Alpha

Line Negative Pedal Curve

Cite this as:

Weisstein, Eric W. "Line Negative Pedal Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LineNegativePedalCurve.html

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