A brief history of Pythagoras And the Pythagoreans

Slides:

Advertisements

Similar presentations

One cannot step twice in the same river. QOTD Defend/rebuke and explain your rationale.Defend/rebuke and explain your rationale. 75+ words.75+ words. Select.

Advertisements

Senior Seminar Project By Santiago Salazar. Pythagorean Theorem In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares.

Pythagoras Theorem The Man and the Theorem.

Astronomy of the Ancient World – Pre 1500’s

Pythagoras Pythagoras was a Greek scholar and philosopher in the late century BC. Known as “the father of numbers, his teachings covered a variety of areas.

Pythagoras Pythagoras was a Greek scholar and philosopher ca 548 BC to 495 BC. Known as “the father of numbers, his teachings covered a variety of areas.

St. Kentigerns Academy Brief History Finding the shorter side A Pythagorean Puzzle Pythagoras’ Theorem Using Pythagoras’ Theorem Menu Further examples.

By: Amina Boudjellel and Shuma Ali Wait for it…….

Whiteboardmaths.com © 2004 All rights reserved

MATH 2306 History of Mathematics Instructor: Dr. Alexandre Karassev.

PYTHAGORAS of SAMOS circa B.C.. There are no know first hand accounts of Pythagoras life and work. His history is built on myth and legend which.

PythagorasPythagoras His Biography and Theorem His Biography and Theorem.

Pythagorean Theorem. Pythagoras Born on the Greek Isle of Samos in the 6 th Century Lived from BC He studied and made contributions in the fields.

Introduction and Greek Contributions Introduction.

The Pythagoreans' believed “All is Number,” meaning that everything in the universe depended on numbers. They were also the first to teach that the.

A b c. Use the Pythagorean Theorem and its converse to solve problems. Objectives.

8-6 The Pythagorean Theorem Pythagorus (say "pie-thag-or-us") of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. He made important.

Samos Babylon Egypt India? Hi, I’m Pythagoras I was born about 569bc on the Greek island of Samos, just off the coast of what is now western Turkey. I.

Ancient Greek Philosophy

The Pythagorean Theorem Geometry Notes – 8.1 Mr. Belanger.

Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's.

Pythagorean Theorem Chapter 12 Fred StengerLarry L. Harman.

Pythagoras of Samos about 569 BC - about 475 BC. i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation.

Developer’s name: Ahmed Fallatah 03/17/2013 ETEC 544 Instructor: Brian Newberry Start.

The Pythagorean Theorem

-The creator of the "Pythagoras Theorem"

Pythagorean theorem By Megan and Shelbie:D Who invented it? A Greek man named Pythagoras invented this pythagreom theorem. It was invented by the year.

PYTHAGOREAN THEOREM Brett Solberg AHS‘11-’12. Warm-up  Simplify 1) 2) 3) Solve for x 5 2 = x ) What is a hypotenuse?

Modeling Pythagorean Theorem - Geometrically. Template.

PYTHAGORAS OF SAMOS MATHEMATICIAN PHILOSOPHER MUSICIAN.

Pythagorean Theorem Ramzy Alseidi. Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569.

C CHAPTER The Pythagorean Theorem. Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify.

Section 10.3 The Pythagorean Theorem

Famous Mathematicians This half-term the numeracy activities will test what you know about some famous mathematicians. Week 1’s mathematician is…. Pythagoras.

Set 6 Let there be music 1 Wow! We covered 50 slides last time! And you didn't shoot me!!

Solve the first 4 questions on your worksheet.

By Emily Bennett 12 The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras. (approximately 500 B.C.) Pythagoras himself.

Pythagoras and the Pythagorean Theorem MEMBERS Roland Ramjattan Denise Kanhai-Gupta Alicia Rosan Arlene Bissoon.

The Pythagorean Theorem and Its Converse

PYTHAGORAS OF SAMOS.  Name: Pythagoras  Born: c. 580 to 572 BC  Died: c. 500 to 490 BC  School / tradition: Pythagoreanism  Main interests: philosophy.

A Brief History of Pythagorus and the Pythagorean Theorem

The life of Pythagoras Pythagoras was a philosopher and a mathematician. He developed mathematics, astronomy, and music. His greatest theorem is the Pythagorean.

Pythagoras. Pythagoras was a Greek mathematician in 500’s BC. He spent most of his life in Greek colonies in Sicily and southern Italy. He wore simple.

Trigonometry – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. Who was Pythagoras 2. What.

Math Review Along with various other stuff NATS Jan 2008.

PYTHAGORAS and the Pythagorean theorem Today you should be able to answer these questions… Who was Pythagoras? What was important about his life? Why.

PYTHAGORAS. Born Approximately 569 BC, Samos Greece Died Approximately BC, Metapontum Italy.

The other two philosophers who were to influence Pythagoras, and to introduce him to mathematical ideas, were Thales and his pupil Anaximander who both.

Pythagorean Theorem By Jane Doe. Pythagoras The Man Who Made the Theory.

and the Pythagorean Theorem

 Born around 530 BCE (Before Common Era) in Samos, Greece.  Traveled around Egypt, Greece and Italy.

Pythagorean Theorem By: Carrie Yates 8 th Grade Mathematics.

Module 6: Natural Philosophy and the Birth of Scientific Method Swinburne Online Education History of Astronomy © Swinburne University of Technology Activity.

WHO WAS HE?? Pythagoras was a mathematician who lived in around 500BC. Pythagoras was in a group of people who lived in a certain way to be very pure.

PYTHAGORAS. Who Was Pythagoras? Born about 569 BC in Samos, Ionia Died about 475 BC Greek Philosopher & Mathematician.

6/22/ Types of Triangles  Types by Length Equilateral Isosceles Scalene  Types by Angle Equilateral Right Obtuse Acute Equilateral Right Isosceles.

It is my great pleasure to bring to you the Pythagorean Theorem, this famous theorem is named for the philosopher and mathematician Pythagoras. So in.

Pythagoras Sheryl Trembley Math /28/11. Pythagoras - philosopher and mathematician Limited reliable information is available about Pythagoras Lived.

Major Assessment Review

Along with various other stuff NATS Jan 2008

Rational and Irrational Numbers

Whiteboardmaths.com © 2004 All rights reserved

Musimatics: Mathematics of Classic Western Harmony - Pythagoras to Bach to Fourier to Today Robert J. Marks II.

Rational and Irrational

The Man They Called: Pythagoras

Ancient Greek Philosophy

MATH 2306 History of Mathematics

Pythagoras Theorem Pythagoras of Samos

Pythagorean Theorem By: Mikayla Moore.

Presentation transcript:

A brief history of Pythagoras And the Pythagoreans Pythagorean Theorem A brief history of Pythagoras And the Pythagoreans

Pythagoras of Samos

Pythagoras of Samos Lived from 560 – 480 BC Born in Samos (an island off the east coast of Greece) Went to Miletus Then went to Egypt

Life with the Persians While in Egypt, the Egyptians were conquered by the King Cambyses and the Persians. Pythagoras went back to Babylon (Persia) with King Cambyses and spent 7 years there. There he became acquainted with Eastern Mysticism

Iamblichus writes that Pythagoras ... was transported by the followers of Cambyses as a prisoner of war. Whilst he was there he gladly associated with the Magoi ... and was instructed in their sacred rites and learnt about a very mystical worship of the gods. He also reached the acme of perfection in arithmetic and music and the other mathematical sciences taught by the Babylonians...

Eastern Mysticism A broad term summarizing mystic traditions of the Middle East, India and the Far East, including mystic elements in Gnosticism, Sufism, Yoga, Buddhism, and Taoism Believing in ideas such as reincarnation, one or many gods, and meditation.

Upon Leaving Persia Forced to leave Persia because of ideas of liberty and freedom Went to Croton (Southern Italy) Founded a school and taught Mathematics. The most talented pupils were initiated into the Pythagorean Order.

Pythagorean Order The Pythagorean Order was a secret brotherhood. Ideas of the Pythagorean Order stemmed from Pythagoras’ experience with Eastern Mysticism Strict code of silence for those initiated into the Pythagorean Order

Pythagorean Order Beliefs Transmigration of Souls They did not Eat Meat Wear Wool Eat Beans Have any personal possessions

Pythagorean Order Beliefs That at its deepest level, reality is mathematical in nature That philosophy can be used for spiritual purification That the soul can rise to union with the divine That certain symbols have a mystical significance That all brothers of the order should observe strict loyalty and secrecy

Pythagorean Order Not only did they study Mathematics, they studied Music and Astronomy Studied mathematical relationship of sounds and broke music into octaves Recognized the Moon was inclined to the equator of the Earth and he was one of the first to realize that Venus as an evening star was the same planet as Venus as a morning star.

Other Discoveries Sum of the interior angles of any triangle add up to two right angles (180 degrees) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras's philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.

Google Earth Using Google Earth, Find and “Add Placemark” to the three places Pythagoras lived. Find the Statue of Pythagoras on the island of Samos, Italy Find the ruins of the Hanging Gardens of Ancient Babylon Find the city of Crotone, Italy Using the ruler tool, “Add Placemark” to any three places in the world that are examples of the Pythagorean Theorem. Make a tour using the six places you’ve bookmarked.