Measurement of the spectra of multiple TeV (1012 eV) astrophysical sources has now been performed by the Whipple collaboration using a 10 meter imaging atmospheric Cherenkov telescope. These sources include the Crab Nebula and active galactic nuclei Markarian 421 and Markarian 501. Comparisons amongst sources and verification of features within spectra is now possible. The TeV energy spectra of the AGN, in particular Markarian 501, are curved. This is demonstrated with high confidence. This is consistent with other observations and with theories of emission from AGN. Possible sources of systematic error are detailed and varied spectral comparisons are performed. A softening of the spectrum of the AGN Markarian 501 is detectable at very low flux levels. However, due to the small ratio of signal to noise, this cannot be demonstrated at a high confidence.