Death of Three heroes

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Across
  1. 3. What did Patroclus borrow?
  2. 7. The greatest hero
  3. 8. The Trojan hero
  4. 9. battle Hector and Achilles fought
Down
  1. 1. Achilles' mortal part
  2. 2. What Achilles felt for Briseis
  3. 4. Which hero died first?
  4. 5. killer of Achilles
  5. 6. Times Achilles dragged Hector