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In defense of pythagoras
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In defense of pythagoras

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Transcript

  • 1. IN DEFENSE OF PYTHAGORAS By: Juan Bucio
  • 2. Objectives
    • We are followers of Pythagoras.
    • We are part of the Pythagorean society
    • Our objective is to prove the innocence of Pythagoras, by showing a proof of the Pythagorean Theorem.
  • 3. Pythagoras
    • He was born in the island of Samos in 568BC.
    • Pythagoras founded a philosophical and religious school in Croto (where he became part of the mathematical cult)
  • 4. The Pythagorean society
    • It is a group that Pythagoras founded.
    • Their beliefs were:
    • (1)at its deepest level, reality is mathematical in nature, (2) that philosophy can be used for spiritual purification, (3) that the soul can rise to union with the divine, (4) that certain symbols have a mystical significance, and (5) that all brothers of the order should observe strict loyalty and secrecy.
  • 5. The Proof
    • Right triangle:
    • We will prove that A^2+b^2=C^2
    A B C
  • 6. Instructions of the Proof
    • Start with a right triangle, then add another triangle onto it that has the same height as side a.
    A C B
  • 7. Instructions of the Proof
    • Then Just construct 3 triangles around it
    Triangle b Triangle A Triangle C C A A B
  • 8. Explanation
    • Basically this proof works because If you fold triangles A and B into the original triangle they cover the whole triangle. If you fold triangle C into the triangle, then it covers the whole thing also.
    • So A and B = C.
    Triangle A Triangle B Triangle C C A A B
  • 9. Conclusion
    • As you can see, Pythagoras is innocent because we have proven that His work is true.
    • There are many proofs that prove that Pythagoras's work is true.
  • 10. References
    • http://www.math.hmc.edu/funfacts/ffiles/10007.2.shtml
    • http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html