Pythagorean crossword

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Across
  1. 3. Longest side of a right triangle
  2. 5. Pthagoras idea
  3. 6. A general proposition not self-evident but proved by a chain of reasoning
  4. 8. From one corner to another
Down
  1. 1. Something timed by itself
  2. 2. A shape with the same length on each side
  3. 4. The person who made the pythagorean theorem
  4. 7. triangle A triangle with a right angle