Puzzle on great mathematician

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Across
  1. 3. Discovered the pythagoras theorem
  2. 6. Invented a number 0
  3. 7. founded the heron's formula
  4. 8. Was the first to compute digits of the decimal expansion of π
  5. 9. Discovered the theory of numbers
  6. 10. Discovered cartesian system
Down
  1. 1. Proved the concept of zero in mathemathics
  2. 2. Was known as human omputer
  3. 4. Discovered the mordern calculus
  4. 5. discovered probablity theory