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Pythagoras. Pythagoras of Samos[a] (Ancient Greek: Πυθαγόρας; c. 570 – c. 495 BC) [b] was an ancient Ionian Greek philosopher, polymath 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 ...
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between 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.
Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy) cirka 530 BC.
The term monad (from Ancient Greek μονάς (monas) 'unity' and μόνος (monos) 'alone') [1] is used in some cosmic philosophy and cosmogony to refer to a most basic or original substance. As originally conceived by the Pythagoreans, the Monad is the Supreme Being, divinity or the totality of all things. According to some philosophers of ...
In philosophy, metempsychosis (Greek: μετεμψύχωσις) is the transmigration of the soul, especially its reincarnation after death. The term is derived from ancient Greek philosophy, and has been recontextualized by modern philosophers such as Arthur Schopenhauer, [1] Kurt Gödel, [2] Mircea Eliade, [3] and Magdalena Villaba; [4] otherwise, the word "transmigration" is more appropriate.
Anaximander. Anaximander (/ æˌnæksɪˈmændər / AN-ak-sih-MAN-dər; Greek: Ἀναξίμανδρος Anaximandros; c. 610 – c. 546 BC) [3] was a pre-Socratic Greek philosopher who lived in Miletus, [4] a city of Ionia (in modern-day Turkey). He belonged to the Milesian school and learned the teachings of his master Thales.
Pythagorean trigonometric identity. The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is.
An illustration of Euclid 's proof of the Pythagorean theorem. Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean. [ 1 ][ 2 ] Greek mathematicians lived in cities spread over the ...