(1) The quantity gBe obtained by subtracting from a gravity anomaly Δg the free air gravity correction δg _f, the spherical Bouguer gravity correction δg _Bs, and the topographic gravity correction δg _t: Δg _Be ≡ Δg - δg _f - δg _Bs - δg _t. Equivalently, the quantity obtained by subtracting from the spherical Bouguer gravity anomaly the topographic gravity correction. The topographic gravity correction is introduced because of the difference between the actual distribution of mass ignored in applying the free air correction and that assumed by introducing the spherical shell. (2) The result of subtracting, from a Bouguer gravity anomaly with topographic correction, a further gravity correction to account for the curvature of the Earth. This is practically, if not exactly, equivalent to using a spherical Bouguer gravity anomaly with topographic correction. The expanded Bouguer gravity anomaly is also called the complete Bouguer gravity anomaly and the refined Bouguer gravity anomaly. The latter term, however, seems to be applied also to the Bouguer gravity anomaly with topographic correction.