Zayn's Crossword puzzle

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Across
  1. 4. a mathematical statement that includes shapes
  2. 6. to write and debate on a topic
  3. 7. a specific gymnasium in Athens
  4. 8. the student of Plato
  5. 10. An ancient method of farming
  6. 11. realistic representations of nature
Down
  1. 1. A method by asking question
  2. 2. a fortified city hilltop
  3. 3. built on a hilltop in Athens
  4. 5. The creator of the five theorems
  5. 9. To give an explanation of an outcome