Pythagoras and the Pythagorean Theorem

By: Melissa Johnson and Julie Shafferwww.plato.stanford.edu.com

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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.

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.• C SQUARED is verified as the Hypotenuse and a squared

and b squared are verified as the other two legs• It is also a simple mathematical equation with

various uses today in geometry , trigonometry, architculture , etc.

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

Questions (write down and answer)

1) What is Pythagorean Theorem?2) What is Pythagoreanism?3) How did people describe Pythagoras?

4) If a squared is 26 and b squared is 18 what is C squared. (solve to find answer!)5) C is verified as what?

Answers

1) It’s a relation in Euclidean geometry among the three sides of a right triangle2) The system of esoteric and metaphysical beliefs3) As the first pure mathematician4) 26 + 18 676 + 324 = 1000 square root = 31.62 IS right triangle5) Hypotenuse

Pictures of Pythagoras , where he was born , and what people said about his

Pythagorean Theorem

The End