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division into extreme and mean ratio

См. также в других словарях:

  • Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …   Wikipedia

  • golden ratio — ▪ mathematics also known as the  golden section,  golden mean , or  divine proportion        in mathematics, the irrational number (1 + √5)/2, often denoted by the Greek letters τ or ϕ, and approximately equal to 1.618. The origin of this number… …   Universalium

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • Metaphysics and science in the thirteenth century: William of Auvergne, Robert Grosseteste and Roger Bacon — Steven Marrone By the third decade of the thirteenth century there emerge the first signs of a new metaphysics. Alongside Neoplatonizing idealism we now see attempts to lay greater emphasis on the ontological density of the created world and to… …   History of philosophy

  • John Scottus Eriugena and Anselm of Canterbury — Stephen Gersh INTRODUCTION by John Marenbon John Scottus Eriugena came from Ireland, as his name indicates (‘Scottus’ meant ‘Irishman’ in the Latin of this period, and ‘Eriugena’, a neologism invented by John himself, is a flowery way of saying… …   History of philosophy

  • Spinoza: metaphysics and knowledge — G.H.R.Parkinson The philosophical writings of Spinoza are notoriously obscure, and they have been interpreted in many ways. Some interpreters see Spinoza as (in the words of a contemporary)1 ‘the reformer of the new [sc. Cartesian] philosophy’.… …   History of philosophy

  • List of works designed with golden ratio — Works designed with the golden ratio are works of human design that are proportioned according to the golden ratio, an irrational number that is approximately 1.618; it is often denoted by the Greek letter φ (phi).Early historyIt is claimed that… …   Wikipedia

  • Plato: metaphysics and epistemology — Robert Heinaman METAPHYSICS The Theory of Forms Generality is the problematic feature of the world that led to the development of Plato’s Theory of Forms and the epistemological views associated with it.1 This pervasive fact of generality appears …   History of philosophy

  • Sex and psychology — This article is about psychology and the male and female biological sexes. For information about human sexual perceptions, see Human sexuality. Research on sex and psychology investigates cognitive and behavioral differences between men and women …   Wikipedia

  • number symbolism — Introduction       cultural associations, including religious, philosophic, and aesthetic, with various numbers.       Humanity has had a love hate relationship with numbers from the earliest times. Bones dating from perhaps 30,000 years ago show …   Universalium

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