Pythagoris
- Introduction to Geometry
- Understanding Pythagoras Theorem
- Practical Applications and Examples
- Advanced Topics in Pythagorean Theorem
Understanding Pythagoras Theorem
The Life of Pythagoras
6th century BC Greek philosopher and mystic.
Pythagoras of Samos was an ancient Ionian Greek philosopher and mathematician, known primarily for the theorem that bears his name. His life and teachings have had a significant impact on mathematics and philosophy, both in his time and in the centuries that followed.
Early Life and Education
Pythagoras was born on the island of Samos in the eastern Aegean around 570 BC. His father was a merchant, which allowed young Pythagoras to travel widely with him and come into contact with a variety of cultures and philosophical ideas. He received his early education from the Chaldaeans and the learned men of Syria. It is said that he had also visited Egypt to learn from the priests of Memphis and Thebes.
The Pythagorean School
In his late years, Pythagoras moved to Croton, a Greek colony in southern Italy, where he established a philosophical and religious school known as the Pythagorean school. This school was more of a brotherhood, where members shared all their possessions in common and were vegetarians. They were also sworn to secrecy and lived a life of simplicity and piety.
The Pythagorean school made significant contributions to mathematics, music, and astronomy. It is also here that Pythagoras likely developed his famous theorem.
Pythagoras' Influence
Pythagoras' teachings and his school had a profound influence on both the mathematical and philosophical thoughts of the Western world. His ideas were carried forward by his followers, known as Pythagoreans, who continued to develop mathematical theories and concepts.
The most famous of these is the Pythagorean theorem, a fundamental principle in Euclidean geometry. However, Pythagoras and his followers also contributed to the understanding of numbers, the concept of mathematical proof, and the idea of the universe as a harmonious whole.
Pythagoras' influence extended beyond mathematics. His philosophical ideas and the lifestyle of his school influenced later philosophical traditions, particularly Platonism and Neoplatonism.
Despite the mystery that surrounds much of his life and teachings, Pythagoras remains a significant figure in the history of Western thought. His contributions to mathematics and philosophy continue to be relevant and are still studied to this day.