Line Negative Pedal Curve
The negative pedal curve of a line specified parametrically by
x = at
(1)
y =
(2)
is given by
x_n = 2at-x
(3)
y_n = [画像:((x-at)^2)/y,]
(4)
which is a parabola.
See also
Line, Negative Pedal Curve, ParabolaExplore with Wolfram|Alpha
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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 CurveCite this as:
Weisstein, Eric W. "Line Negative Pedal Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LineNegativePedalCurve.html