Part 1 of Essay
was the most influential astronomer of the ancient world. The books and theories Ptolemy developed served as a major basis for future astronomers. It was during the Renaissance period that his work became thoroughly studied and revised. Ptolemy collected all ancient knowledge of astronomy and geography including i ....

Part 2 of Essay
.... for any similarities or regular patterns. The patterns that were discovered could then predict the next occurrence of such an event. Ptolemy eventually devised an ancient form of nautical almanac or "ephemeris". Mathematics could now not only be used to predict but to demonstrate whether a particular theory was correct or not. Ptolemy developed several theories of his own contrary to the beliefs of many other Greek astrologers at the time. He upheld that the "heavens" consisted of bodies orbiting the eart ....