232 ON THE TOTAL INTENSITY OF INTERFERING LIGHT. where p is the same function of #' and y' that p is of x and y. The same reasoning as before leads to the same result. I do not regard the preceding demonstration of a result which you were the first to announce, as of any physical interest after what you have yourself done. Still it may not seem wholly uninteresting, in an analytical point of view, to demonstrate the proposition for any form of aperture. Of course, by comparing the result \*b'2A with that obtained, in particular cases, by integrating in the straightforward way, we may arrive at the values of various definite integrals. I am, dear Sir, Yours very truly, G. G. STOKES.