cross word

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Across
  1. 2. - Greek mathematician known for theorem (10)
  2. 6. LISA - Famous painting by Leonardo da Vinci (8)
  3. 7. - Head of state in a republic (9)
  4. 10. - Renaissance artist known for "The School of Athens" (7)
  5. 13. - Famous theater district in New York City (8)
  6. 15. - Study of nutrients and how the body uses them (9)
  7. 17. - Renowned theoretical physicist (7)
  8. 18. - Playwright of "Hamlet" and "Othello" (11)
  9. 19. - Greek philosopher, student of Socrates (5)
  10. 20. - Community of interacting organisms and their environment (9)
  11. 23. - Step-by-step procedure for solving a problem (9)
  12. 24. - Mountain range containing Everest (9)
  13. 26. - Author of "The Prince" (11)
  14. 28. - Branch of physics dealing with particles at atomic scales (7)
  15. 29. - Iconic museum in New York City (10)
  16. 30. - Study of celestial objects and the universe (9)
Down
  1. 1. - Extremely luminous active galactic nucleus (6)
  2. 3. - Prestigious university in England (6)
  3. 4. - Capital of Austria (6)
  4. 5. - Line where the earth's surface and the sky appear to meet (7)
  5. 8. - Philosophy focused on pleasure as the highest good (10)
  6. 9. - Napoleon's final battle (8)
  7. 11. - Organ responsible for thought and memory (5)
  8. 12. - Elaborate musical composition for orchestra (8)
  9. 14. - Study of fundamental nature of knowledge (10)
  10. 16. - Large instrumental ensemble (9)
  11. 21. - Famous ship that sank in 1912 (7)
  12. 22. - Long-distance running race (8)
  13. 25. - Shape with many sides (7)
  14. 27. - Renowned Renaissance artist (8)