Pythagoras and the Pythagorean Theorem

1. Pythagoras and the Pythagorean Theorem By: Melissa Johnson and Julie Shaffer www.plato.stanford.edu.com .

3. Pythagoras • Pythagoras- a lonian Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. • Born on the island of Samos. • Born C.580bc., Died C.569bc.(he was about 75 years old) • People describe him as the first pure mathematician. • He is also an important figure in the developments of mathematics even though we know very little about his mathematical achievements.

4. Pythagoren Theorem • It’s the relation in Geometry among the three sides of a right triangle. • It can be written as a equation relating the length of the sides a squared , b squared , and c squared. • It is often called Pythagorean Equation. • CSQUAREDis verified as the Hypotenuse and asquaredand b squaredare verified as the other two legs • It is also a simple mathematical equation with various uses today in geometry , trigonometry, architculture , etc.

5. Pythagoreanism • Was the system of Metaphysical beliefs held by Pythagoras and his followers known as the Pythagorean cult. • They were influenced by mathematicians. • The image is an example of Pythagorean theorem

6. Questions (write down and answer) • What is Pythagorean Theorem? • What is Pythagoreanism? 3) How did people describe Pythagoras? 4) If asquared is 26 and bsquaredis 18 what is Csquared. (solve to find answer!) 5) C is verified as what?

7. Answers 1) It’s a relation in Euclidean geometry among the three sides of a right triangle 2) The system of esoteric and metaphysical beliefs 3) As the first pure mathematician 4) 26 + 18 676 + 324 = 1000 square root = 31.62 IS right triangle 5) Hypotenuse

8. Pictures of Pythagoras , where he was born , and what people said about his Pythagorean Theorem

9. The End