The Greek mathematician Autolykos wrote these treatises around 320 BC. They form the oldest material on Greek mathematical astronomy that has survived in a well preserved form. The books contain the complete Greek text and its translation into English, the latter published for the first time, while the Greek text is based on the critical edition of Joseph Mogenet. The Books of Autolykos deal with the simple geometry of points and large circles on a sphere, applying the axiomatic method systematically for the first time. These treatises give a clear insight into the status of Greek mathematical astronomy just before the initiation of the famous School of Alexandria.