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Parabolic Rotation

The Map

$\displaystyle x'$ $\textstyle =$ $\displaystyle x+1$ (1)
$\displaystyle y'$ $\textstyle =$ $\displaystyle 2x+y+1,$ (2)

which leaves the Parabola
\begin{displaymath} x'^2-y'=(x+1)^2-(2x+y+1)=x^2-y \end{displaymath} (3)

invariant.

See also Parabola, Rotation



© 1996-9 Eric W. Weisstein
1999-05-26