Evaggelidis studied in the University of Athens and in Germany. He taught in Constantinople and in Athens, in the Rizareios Academy, in the Arsakeios School and in many other Gymnasia. He was elected Reader of the History of Philosophy in the University of Athens in 1883 and later, in 1894, Professor. He taught until 1924 and was also a member of various scientific and intellectual societies.
Λεύκωμα της εκατονταετηρίδος της Εν Αθήναις Αρχαιολογικής Εταιρείας 1837 - 1937 (Album on the centenarry of the Athenian Archaeological Society). Athens, 1937