Who in greek era said All the a stage?

The quote "All the World's a Stage" originates from the famous monologue by William Shakespeare in his play "As You Like It". It was spoken by the character of Jacques in Act II, Scene VII, and goes as follows:

"All the world's a stage,

And all the men and women merely players;

They have their exits and their entrances,

And one man in his time plays many parts."