All the world's a stage according Alexandre

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Across
  1. 5. I'm a place in USA where they are a lot of theater
  2. 8. I'm the theater where shakespeare played
  3. 9. i'm a french theator,I served the king 500 years ago. I wrote the bourgeois gentilhomme
  4. 10. I'm a place of shakespeare with a famous egyptian woman
Down
  1. 1. I'm a place with a beautiful woman who slept
  2. 2. This is the contry where Shakespeare was born
  3. 3. I'm a russian composer I wrote the lake of signs I'm a place where they are signs
  4. 4. I'm a big russian theater
  5. 6. In France I am a root of a tree
  6. 7. I have a big forehead and I am an English playwright