Let $Σ$ be a regular surface in $\Bbb{R_3}$ with Gauss curvature larger than zero. Given any regular curve $C$ contained in $Σ$ and point $p$ on $C$, let $κ1$ and $κ2$ be the principal curvatures of $Σ$ at $p$ and $κ(p)$ the curvature of $C$ at $p$. Show that the following inequality is true $$κ(p) ≥ \text{min}\{|κ1|, |κ2|\}$$
How would I go about solving this question. I don't really know how to relate regular curvature to normal curvature.