  Weak gravitational lensing of background galaxies offers an excellent
opportunity to study the intervening distribution of matter. While much
attention to date has focused on the two-point function of the cosmic shear,
the three-point function, the {\it bispectrum}, also contains very useful
cosmological information. Here, we compute three corrections to the bispectrum
which are nominally of the same order as the leading term. We show that the
corrections are small, so they can be ignored when analyzing present surveys.
However, they will eventually have to be included for accurate parameter
estimates from future surveys.
