The Compton scattering cross section on the proton has been measured at laboratory angles of 90 • and 135 • using tagged photons in the energy range 70-100 MeV and simultaneously using untagged photons in the range 100-148 MeV. With the aid of dispersion relations, these cross sections were used to extract the electric and magnetic polarizabilities,ᾱ andβ respectively, of the proton. We find α +β = (15.0 ± 2.9 ± 1.1 ± 0.4) × 10 −4 fm 3 ,in agreement with a model-independent dispersion sum rule, and α −β = (10.8 ± 1.1 ± 1.4 ± 1.0) × 10 −4 fm 3 ,

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