TITLE A new theorem in vector calculus AUTHOR Warren D. Smith Temple University Math dept. Wachman Hall 1805 N.Broad St. Philadelphia PA 19122 WDSmith@fastmail.fm ABSTRACT Two well known theorems in 3D vector calculus are Gauss's divergence theorem (actually valid in $n$ dimensions), and Stokes' theorem. We present several formulations of a third natural Theorem of this ilk, which seems to have escaped previous notice. KEYWORDS Stokes, Gauss, divergence theorem, Lorentz force, current loop. 3 pages.