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

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Presentation on theme: "Pythagoras and the Pythagorean Theorem By: Melissa Johnson and Julie Shaffer www.plato.stanford.edu.com."— Presentation transcript:

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

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4 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.

5 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.

6 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

7 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?

8 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

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

10 The End


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