Conversation so far:
When did the conquest of Cyprus begin?
1187.
Who was involved?
After Richard became king, he and Philip agreed to go on the Third Crusade, since each feared that during his absence the other might usurp his territories.

Question: Who were the others that he that would usurp his territories?
Self-contained rewrite: Who were the others that Richard I of England knew that would usurp his territories?