Angeloni dedicated most of his life in collecting antique coins, medallions, books, paintings, and archaeological artifacts and achieved fame in Europe with the publication in 1641 of his edition of the Historia Augusta, a history of ancient Rome since Julius Caesar to Constantine the Great, illustrated with antique coins of the times. He also wrote comedies and novels and noticeably, in 1646, a Storia di Terni, a history of his hometown.
In his house, Angeloni raised and educated Giovanni Pietro Bellori, who also became a well-known antiquarian and archaeologist.