  We extend the classical Enriques-Petri Theorem to $s$-subcanonical
projectively normal curves, proving that such a curve is $(s+2)$-gonal if and
only if it is contained in a surface of minimal degree. Moreover, we show that
any Fermat hypersurface of degree $s+2$ is apolar to an $s$-subcanonical
$(s+2)$-gonal projectively normal curve, and vice versa.
