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Theodosius made his formal entry into Constantinople, November 24, 380, and at once required the bishop either to accept the Nicene faith or to leave the city. Demophilus honourably refused to give up his heresy, and adjourned his services to the suburbs. So ended the forty years of Arian domination in Constantinople.

Epicurus and Demophilus, who fled from the city for fear, his son met with, and took his revenge upon them.

They themselves condemned and executed Hagnonides, while Phokion's son followed Epikurus and Demophilus, who fled the country, discovered their place of refuge, and avenged himself upon them.

Demophilus of Constantinople headed the party, and his blunders did it almost as much harm as the profane jests of Eudoxius. At Antioch Euzoius, the last of the early Arians, was replaced by Dorotheus. Milan under Ambrose was aggressively Nicene, and the Arian tyrants were very weak at Alexandria.

There was room for all in the happy family presided over by Eudoxius and his successor Demophilus. In this anarchy of doctrine, the growth of irreligious carelessness kept pace with that of party bitterness. Ecclesiastical history records no clearer period of decline than this. There is a plain descent from Athanasius to Basil, a rapid one from Basil to Theophilus and Cyril.

Valens had an obedient Homoean clergy, but no trappings of official splendour could enable Eudoxius or Demophilus to rival the imposing personality of Athanasius or Basil. Thus the Empire lost the moral support it looked for, and the church became embittered with its wrongs. The breach involved a deeper evil. The ancient world of heathenism was near its dissolution.

Then, too, many less celebrated men have written treatises on the laws of symmetry, such as Nexaris, Theocydes, Demophilus, Pollis, Leonidas, Silanion, Melampus, Sarnacus, and Euphranor; others again on machinery, such as Diades, Archytas, Archimedes, Ctesibius, Nymphodorus, Philo of Byzantium, Diphilus, Democles, Charias, Polyidus, Pyrrus, and Agesistratus.