US EditionFitting a parabola to an ellipse and vice versa
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Fitting a parabola to an ellipse and vice versa
The previous post discussed fitting an ellipse and a parabola to the same data. Both fit well, but the ellipse fit a little better. This will often be the case because an ellipse has one more degree of freedom than a parabola. There is one way to fit a parabola to an ellipse at an extreme point: match the end points and the curvatures. This uses up all the degrees of freedom in the parabola. When you take the analogous approach to fitting an ell…
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