Pythagoras' Theorem and Its Applications in Mathematics History - Part 2

Explore the second part of a lecture on Pythagoras' theorem, a cornerstone of mathematics, in this 23-minute video from the History of Mathematics course by N J Wildberger at UNSW. Delve into Pythagorean triples, the rational parametrization of a circle, and Diophantus' contributions. Gain insights into the Greek perspective on mathematics, including their view of irrational numbers. Examine the historical flow of mathematical ideas from Egyptian and Babylonian influences to the ancient Greeks. Learn about the unit circle, Euclid's work, and the importance of understanding historical mathematical difficulties. Follow along with the video's contents, which include explanations of Pythagorean triples, unit circle parametrization, and Diophantus' 300 AD parametrization.