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proof fixes
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@@ -4471,7 +4471,7 @@ if (roots.length > 0) {
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as it turns out, there is a way to define curvature in such a way
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that it only relies on what the curve actually looks like, and given
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where this section is in the larger body of this Primer, it should
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hopefully not be surprising that we thing we can use to define
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hopefully not be surprising that thee thing we can use to define
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curvature is the thing we talked about in the previous section: arc
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length.
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</p>
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@@ -4507,7 +4507,7 @@ if (roots.length > 0) {
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integral disappears entirely (because of the
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<a
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href="https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus"
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>fundamental therem of calculus</a
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>fundamental theorem of calculus</a
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>), and we're left with some surprisingly simple maths that relates
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curvature (denoted as κ, "kappa") to—and this is the truly
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surprising bit—a specific combination of derivatives of our original
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