Let $k$ be an [algebraically closed field](/page/Algebraically%20Closed%20Field), let $n\geq 1$, and let $\nu_n:\mathbb P^1_k\to \mathbb P^n_k$ be the degree-$n$ Veronese morphism defined by $\nu_n([s:t])=[s^n:s^{n-1}t:\cdots:t^n]$. Let $C:=\nu_n(\mathbb P^1_k)\subset \mathbb P^n_k$ be the rational normal curve, regarded as a closed projective curve with the reduced induced structure. If $\deg C$ denotes the projective degree of $C$ with respect to the hyperplane class on $\mathbb P^n_k$, then

\begin{align*} \deg C=n. \end{align*}