Let $k$ be an [algebraically closed field](/page/Algebraically%20Closed%20Field), let $n\ge 1$, and let $X\subset \mathbb P_k^n$ be a positive-dimensional nonsingular irreducible projective variety. Let $d\ge 1$, and let $F\in k[x_0,\dots,x_n]_d$ be a homogeneous form such that $X\not\subset V_+(F)$. Let $H\subset \mathbb P_k^n$ be a hyperplane with $X\not\subset H$. Denote by $(F)_0|_X$ the effective divisor on $X$ cut out by the restriction of $F$, and denote by $H|_X$ the hyperplane section divisor on $X$. Then $(F)_0|_X\sim d(H|_X)$.