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Pythagoras Meets Dynamic Software and a Digital Camera Summary

Pythagoras Meets Dynamic Software and a Digital Camera Summary. Paul Sexton Buena Park High School psexton@fjuhsd.k12.ca.us. Armando M. Martinez-Cruz CSU Fullerton Amartinez-cruz@fullerton.edu. Presented at OCMC – Orange, CA March. 10, 2007. Outline of Presentation.

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Pythagoras Meets Dynamic Software and a Digital Camera Summary

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  1. Pythagoras Meets Dynamic Software and a Digital Camera Summary Paul Sexton Buena Park High School psexton@fjuhsd.k12.ca.us Armando M. Martinez-Cruz CSU Fullerton Amartinez-cruz@fullerton.edu Presented at OCMC – Orange, CA March. 10, 2007

  2. Outline of Presentation • Welcome and Introduction • GSP Comments • Pythagoras and Theorem of Pythagoras • Constructions using the theorem: • Golden Rectangle • Quadrature of the Rectangle • Regular Pentagon • Pentagon, Hexagon and a Decagon • Conclusions and Questions

  3. Pythagoras andTheorem of Pythagoras • Bhaskara’s Proof • Garfield’s Proof • Euclid’s Proof • Using Similar Shapes (instead of Squares) on the Sides of the Right Triangle

  4. Constructions using the Theorem • Golden Rectangle • A Square with the Same Area of a Given Rectangle, aka, Quadrature of Rectangle • Pentagon, hexagon and decagon inscribed in the same circle. • Actually, it is possible to construct a triangle with one side of the pentagon, one side of the hexagon, and one side of the decagon. And that triangle happens to be a right triangle.

  5. Conclusions and Questions

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