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Parabolic Rotation

The map

x^'=x+1
(1)
y^'=2x+y+1,
(2)

which leaves the parabola

x^('2)-y^'=(x+1)^2-(2x+y+1)=x^2-y
(3)

invariant.

See also

Parabola, Rotation

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Cite this as:

Weisstein, Eric W. "Parabolic Rotation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ParabolicRotation.html

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