椭圆渐伸线
Two involutes of a ellipse
http://xahlee.info/SpecialPlaneCurves_dir/Involute_dir/involute.html \begin{align*}
\left\{
\begin{split}
x(t)&=a\cos t+\frac{a\sin t}{\sqrt{\left(a\sin t\right)^{2}+\left(b\cos t\right)^{2}}}\int_0^t\sqrt{\left(a\sin t\right)^{2}+\left(b\cos t\right)^{2}}\mathrm{d}t\\
y(t)&=b\sin t-\frac{b\cos t}{\sqrt{\left(a\sin t\right)^{2}+\left(b\cos t\right)^{2}}}\int_0^t\sqrt{\left(a\sin t\right)^{2}+\left(b\cos t\right)^{2}}\mathrm{d}t
\end{split}
\right.
\end{align*} 应该可以计算个任何曲线的通式 倪举鹏 发表于 2020-9-9 08:38
应该可以计算个任何曲线的通式
Involute of a parameterized curve
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