Ancient Greek geometers | Philosophers of mathematics | Pythagoreans
Pythagoras of Samos (Ancient Greek: Πυθαγόρας ὁ Σάμιος, romanized: Pythagóras ho Sámios, lit. 'Pythagoras the Samian', or simply Πυθαγόρας; Πυθαγόρης in Ionian Greek; c. 570 – c. 495 BC) was an ancient Ionian Greek philosopher and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general. Knowledge of his life is clouded by legend, but he appears to have been the son of Mnesarchus, a gem-engraver on the island of Samos. Modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to Croton in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, ascetic lifestyle. This lifestyle entailed a number of dietary prohibitions, traditionally said to have included vegetarianism, although modern scholars doubt that he ever advocated complete vegetarianism. The teaching most securely identified with Pythagoras is metempsychosis, or the "transmigration of souls", which holds that every soul is immortal and, upon death, enters into a new body. He may have also devised the doctrine of musica universalis, which holds that the planets move according to mathematical equations and thus resonate to produce an inaudible symphony of music. Scholars debate whether Pythagoras developed the numerological and musical teachings attributed to him, or if those teachings were developed by his later followers, particularly Philolaus of Croton. Following Croton's decisive victory over Sybaris in around 510 BC, Pythagoras's followers came into conflict with supporters of democracy and Pythagorean meeting houses were burned. Pythagoras may have been killed during this persecution, or escaped to Metapontum, where he eventually died. In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus. It was said that he was the first man to call himself a philosopher ("lover of wisdom") and that he was the first to divide the globe into five climatic zones. Classical historians debate whether Pythagoras made these discoveries, and many of the accomplishments credited to him likely originated earlier or were made by his colleagues or successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were important, but it is debated to what extent, if at all, he actually contributed to mathematics or natural philosophy. Pythagoras influenced Plato, whose dialogues, especially his Timaeus, exhibit Pythagorean teachings. Pythagorean ideas on mathematical perfection also impacted ancient Greek art. His teachings underwent a major revival in the first century BC among Middle Platonists, coinciding with the rise of Neopythagoreanism. Pythagoras continued to be regarded as a great philosopher throughout the Middle Ages and his philosophy had a major impact on scientists such as Nicolaus Copernicus, Johannes Kepler, and Isaac Newton. Pythagorean symbolism was used throughout early modern European esotericism, and his teachings as portrayed in Ovid's Metamorphoses influenced the modern vegetarian movement. (Wikipedia).
From playlist Miscellaneous
Greek Mathematics: Pythagoras and His Followers
Welcome to the History of Greek Mathematics mini-series! This series is a short introduction to Math History as a subject and the some of the important theorems created in ancient Greece. You are watching the second video in the series. If this series interested you check out our blog for
From playlist The History of Greek Mathematics: Math History
Converse Pythagorean Theorem & Pythagorean Triples
I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profro
From playlist Geometry
http://www.teachastronomy.com/ Pythagoras was one of the most influential thinkers in history. This Greek philosopher and mathematician came up with the idea that numbers were the basis of everything. There is no written record, and nothing about Pythagoras survives in writing. He essen
From playlist 02. Ancient Astronomy and Celestial Phenomena
This geometry video tutorial provides a basic introduction into the pythagorean theorem. It explains how to use it to find missing sides and solve for x. In addition, it provides examples of solving word problems using pythagorean theorem for shapes such as right triangles, squares, rhom
From playlist Geometry Video Playlist
Physical Science 2.4b - The Pythagorean Theorem
A simple introduction to the Pythagorean Theorem, along with an example, and some comments on the Pythagoreans.
From playlist Physical Science Chapter 2 (Complete chapter)
True History of "Pythagoras" Theorem
It is common in science to attribute results to people who were not original discoverers. This is likely to be the case with Pythagoras Theorem- the most well- known mathematical fact ! Big thanks to Dr. Daniel Mansfield for kindly consulting me on his research. Please refer to his paper
From playlist Math history and stories
Visualising Pythagoras: ultimate proofs and crazy contortions
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Finally, a Mathologer video about Pythagoras. Featuring some of the most beautiful and simplest proofs o
From playlist Recent videos
Ancient Greece and Euclid's Elements | Math and the Rise of Civilization | Documentary
The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions, and mathematical proofs of the propositions. The books cover plane and
From playlist Civilization
Lies & Truth in the History of Science - A. Martínez - 2/27/2020
Galileo wrote that Pythagoras believed that the planets orbit the Sun. Newton credited Pythagoras for having discovered the inverse square law of gravity. Nowadays, science textbooks credit Pythagoras with the theory that Earth moves, and some expert historians claim that Pythagoras proved
From playlist Talks and Seminars
Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious. My personal website, which you might like: http://vihart.com
From playlist Doodling in Math and more | Math for fun and glory | Khan Academy
The Pythagorean theorem is an easy to use relation in geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. To sup
From playlist Trigonometry and Pythagoras
Harder Pythagoras Theorem Problems - GCSE Maths Exam Style Questions (DOWNLOADABLE!)
Another adventure with Pythagoras Theorem for GCSE maths and IGCSE maths - this time with some GCSE maths exam style questions suitable for both foundation and higher tier GCSE maths revision. From GCSE Maths minis - creating the GCSE maths help you need! These Pythagoras Theorem past pap
From playlist Power Up Your Pythagoras Theorem! GCSE Maths Revision
A Pythagorean Theorem for Pentagons + Einstein's Proof
Pythagoras's Theorem is the most famous theorem in mathematics, commonly stated as "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides." However, Pythagoras's Theorem is not just for squares. In fact it works for any shape.
From playlist My Maths Videos
Pythagoras' Theorem GCSE 9-1 Maths
Pythagoras theorems explained for GCSE 9-1 maths!
From playlist Pythagoras GCSE 9-1 Maths
Pythagoras Theorem | GCSE Maths Tutor
A video revising the techniques and strategies for using Pythagoras Theorem. This video is part of the Pythagoras & Trigonometry module in GCSE maths, see my other videos below to continue with the series. Revision Videos: The Entire 9-1 GCSE Maths Exam in only 2 hours!! Higher and Foun
From playlist GCSE Maths Videos
Power Up Your Pythagoras Theorem! GCSE Maths Help
Power up your Pythagoras Theorem in the latest episode of GCSE Maths minis - creating the GCSE maths help you need! Pythagoras Theorem is a crucial skill for everyone at GCSE and IGCSE maths - both foundation and higher tier students. Bur there's good news - Pythagoras isn't that difficul
From playlist Power Up Your Pythagoras Theorem! GCSE Maths Revision