Why did Euclid use proof?

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2. #mathematics
3. #influential
4. #reason
5. #until
6. #influence
7. #ideas
8. #demanded
9. #proof
10. #theorem
11. #which
12. #present
13. #western
14. #right
15. #geometry
16. #euclid
17. #philosophers
18. #every
19. #logic
20. #explanation