He built a lighthouse at Alexandria. (COMIC: Voyager) The Eleventh Doctor said Ptolemy couldn't see anything on the psychic paper, meaning he was a genius. The Doctor then said it was a sheet of papyrus so it didn't count. (COMIC: Ripper's Curse)
Ptolemy and Barbara became close and they married and had a son named Ptolemy Philadelphus. When Ptolemy was king, he learned of a woman who looked just like his queen. It was a younger version of Barbara, whom he brought to meet his wife.
During the uprising, Ptolemy had Rhakotis use his spaceship to scare the soldiers into laying down their arms. When soldiers arrived, Ptolemy fought with a soldier, and they killed each other. (PROSE: The Book of Shadows)