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Pythagoras Of Samos: more books (27)

Pythagoras of Samos: Ancient Greek Logodynamics by Gregory Zorzos, 2009-05-02
Pythagoras, der Weise von Samos: Ein Lebensbild (German Edition) by Eduard Baltzer, 1983
People From Samos Prefecture: Ancient Samians, Pythagoras, Epicurus, Aristarchus of Samos, Conon of Samos, Aesop, Melissus of Samos
Samos The Island of Pythagoras by No Author, 1995
Samos ~ Pythagoras' Island: Tourist Guide by Not Stated, 1981-01-01
The Golden Verses of Pythagoras and Other Pythagorean Fragments (Dodo Press) by Pythagoras of Samos, 2008-11-14
PYTHAGORAS AND PYTHAGOREANISM: An entry from Gale's Encyclopedia of Philosophy by W. Guthrie, 2006
PYTHAGORAS: An entry from Macmillan Reference USA's Encyclopedia of Religion by Bruno Centrone, 2005
Pythagoras: An entry from Macmillan Reference USA's Macmillan Reference USA Science Library: Mathematics by William Arthur Atkins, Philip Edward Koth, 2002
Pythagoras: An entry from Gale's Science and Its Times by Judson Knight, 2001
PYTHAGORAS AND THE PYTHAGOREANS: An entry from Gale's Arts and Humanities Through the Eras
PYTHAGORAS: An entry from Charles Scribner's Sons' Encyclopedia of Food and Culture by Mikal E. Saltveit, 2003
PYTHAGORAS: An entry from Gale's Arts and Humanities Through the Eras
PYTHAGORAS AND PYTHAGOREANISM [ADDENDUM 1]: An entry from Gale's Encyclopedia of Philosophy by Charles Kahn, 2006

lists with details

Pythagoras Of Samos (ca. 560-ca. 480 BC) -- From Eric Weisstein's World Of Scien
Mathematicians. Branch of Science. Philosophers. Nationality. Greek. pythagoras of samos (ca. 560ca. 480 BC) Greek philosopher and mathematician who founded the mystic Pythagorean cult. 59-61) .
http://scienceworld.wolfram.com/biography/Pythagoras.html

Extractions: Greek philosopher and mathematician who founded the mystic Pythagorean cult. The cult he founded was devoted to the study of numbers, which the Pythagoreans saw as concrete, material objects. They studied figurate numbers defining them as triangular numbers pentagonal numbers hexagonal numbers etc., based on the patterns that numbers of regularly spaced dots formed (Boyer 1968, p. 59-61). Pythagoras's biographer Proclus ascribed two specific mathematical discoveries to Pythagoras: construction of the regular solids (known today as the Platonic solids ), and the theory of proportionals. Pythagoras also investigated the ratios of lengths corresponding to musical harmonies, undertook studies in number theory, and developed methods of geometric proof. Among the results attributed to Pythagoras and his followers is the proof that the number Pythagoras's constant ) is irrational usually attributed to Hippasus Pythagoras developed a modern theory of vision much simpler than that of Plato . This theory maintained that light is emitted from luminous bodies, can suffer reflections, and causes the sensation of sight when it enters the eyes. He was the first Greek to realize that the morning star and evening star were both the planet
Pythagoras
Detailed biography, including pictures, from the MacTutor History of Mathematics archive.
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html

Extractions: Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure. We do have details of Pythagoras's life from early biographies which use important original sources yet are written by authors who attribute divine powers to him, and whose aim was to present him as a god-like figure. What we present below is an attempt to collect together the most reliable sources to reconstruct an account of Pythagoras's life. There is fairly good agreement on the main events of his life but most of the dates are disputed with different scholars giving dates which differ by 20 years. Some historians treat all this information as merely legends but, even if the reader treats it in this way, being such an early record it is of historical importance. Pythagoras's father was Mnesarchus ([12] and [13]), while his mother was Pythais [8] and she was a native of Samos. Mnesarchus was a merchant who came from Tyre, and there is a story ([12] and [13]) that he brought corn to Samos at a time of famine and was granted citizenship of Samos as a mark of gratitude. As a child Pythagoras spent his early years in Samos but travelled widely with his father. There are accounts of Mnesarchus returning to Tyre with Pythagoras and that he was taught there by the Chaldaeans and the learned men of Syria. It seems that he also visited Italy with his father.
Pythagoras Of Samos By Jacob Dunn
pythagoras of samos. Pythagoras (582?500? BC). Pythagoras was a Greek philosopher and mathematician on the island of Sámos, Pythagoras was instructed in the teachings of the early
http://www.geocities.com/Athens/Olympus/2845

Extractions: Pythagoras Of Samos Pythagoras (582?-500? BC). Pythagoras was a Greek philosopher and mathematician, whose beliefs strongly influenced Plato. He was born on the island of Sámos, Pythagoras was instructed in the teachings of the early Ionian philosophers Thales, Anaximander, and Anaximenes. People say that Pythagoras was driven from Sámos by his own disgust for the dictatorship of Polycrates. About 530 BC Pythagoras settled in Crotona, a Greek colony in southern Italy, where he founded a movement with religious, political, and philosophical aims, known as Pythagoreanism. He set up a school where he taught about religious, philosophical and mathematical beliefs. The philosophy of Pythagoras is known only through the work of his disciples, not through him. Pythagoras' Theorem The Pythagoreans The Pythagoreans' Astronomical Discoveries My Bibliography ... View Guestbook This page hosted by
Pythagoras Of Samos -- Getting It Right
BellSouth Foundation Technology in Education Grant. pythagoras of samos Getting It Right Required Internet Resources pythagoras of samosResource Document( http//magna.com.au
http://www.lft.k12.la.us/grants/Bell/lacour.htm

Extractions: Author: Mary LaCour Acadiana High Grade Level: 10th Grade Geometry Focus of Lesson: To discover the philosophical aspects of the Mathematician Pythagoras and the contributions his school of thought had in the realm of Mathematics by examining the translated historical literature specifically concerning the Pythagoreans, one of the earliest of the ancient Greeks, by way of very brief summarization of the extensive researched work of the classicist W. K. C. Guthrie. Students will explore the philosophy of Pythagoras through the use of a scavenger hunt and also work in small workstations applying the Pythagorean theorem using problem solving skills and a hands on approach. Required Internet Resources: Pythagoras of Samos-Resource Document (http://magna.com.au/~prfbrown/pythagor.html) The Elements of Nature (http://magna.com.au/~prfbrown/elements.html) Benchmarks: National Council of Teachers of Mathematics addressing commnication skills.
Pythagoras Of Samos Mathematician
This bronze bust of pythagoras of samos is a unique gift for any mathematician to display in their office.
http://www.eleganza.com/busts-famous-people-gallery/6-11-pythagoras-samos-pictur

Extractions: Picture of Bronze Bust This bronze bust of Pythagoras of Samos is a unique gift for any mathematician to display in their office. Pythagoras of Samos is considered the first pure mathematician. Pythagoras is called the father of mathematics related to geometry, cosmology and music. Pythagoras believed that the universe was governed by a harmonious system of numbers, the pure language of the universe.
CheatHouse.com - Pythagoras Of Samos And His Mathematical Theories.
pythagoras of samos pythagoras of samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about
http://www.cheathouse.com/eview/20361-pythagoras-of-samos-and-his-mathematical.h

Extractions: Pythagoras of Samos Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some Note! The sentences in this essay are shuffled, making this essay unusable
Pythagoras
pythagoras of samos. Born about 569 BC in Samos, Ionia Died about 475 BC. pythagoras of samos is often described as the first pure mathematician.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html

Extractions: Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure. We do have details of Pythagoras's life from early biographies which use important original sources yet are written by authors who attribute divine powers to him, and whose aim was to present him as a god-like figure. What we present below is an attempt to collect together the most reliable sources to reconstruct an account of Pythagoras's life. There is fairly good agreement on the main events of his life but most of the dates are disputed with different scholars giving dates which differ by 20 years. Some historians treat all this information as merely legends but, even if the reader treats it in this way, being such an early record it is of historical importance. Pythagoras's father was Mnesarchus ([12] and [13]), while his mother was Pythais [8] and she was a native of Samos. Mnesarchus was a merchant who came from Tyre, and there is a story ([12] and [13]) that he brought corn to Samos at a time of famine and was granted citizenship of Samos as a mark of gratitude. As a child Pythagoras spent his early years in Samos but travelled widely with his father. There are accounts of Mnesarchus returning to Tyre with Pythagoras and that he was taught there by the Chaldaeans and the learned men of Syria. It seems that he also visited Italy with his father.
Pythagoras Of Samos
pythagoras of samos. pythagoras of samos, c.560c.480 BC, was a Greek philosopher and religious leader who was responsible for important
http://euler.ciens.ucv.ve/English/mathematics/pitagora.html

Extractions: Pythagoras of Samos Pythagoras of Samos, c.560-c.480 BC, was a Greek philosopher and religious leader who was responsible for important developments in the history of mathematics, astronomy, and the theory of music. He migrated to Croton and founded a philosophical and religious school there that attracted many followers. Because no reliable contemporary records survive, and because the school practiced both secrecy and communalism, the contributions of Pythagoras himself and those of his followers cannot be distinguished. Pythagoreans believed that all relations could be reduced to number relations ("all things are numbers"). This generalization stemmed from certain observations in music, mathematics, and astronomy. The Pythagoreans noticed that vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers, and that these ratios could be extended to other instruments. They knew, as did the Egyptians before them, that any triangle whose sides were in the ratio 3:4:5 was a right-angled triangle. The so-called Pythagorean theorem, that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, may have been known in Babylonia, where Pythagoras traveled in his youth; the Pythagoreans, however, are usually credited with the first proof of this theorem. In astronomy, the Pythagoreans were well aware of the periodic numerical relations of heavenly bodies. The CELESTIAL SPHERES of the planets were thought to produce a harmony called the music of the spheres. Pythagoreans believed that the earth itself was in motion. The most important discovery of this schoolwhich upset Greek mathematics, as well as the Pythagoreans' own belief that whole numbers and their ratios could account for geometrical propertieswas the incommensurability of the diagonal of a square with its side. This result showed the existence of IRRATIONAL NUMBERS.
Pythagoras Of Samos - A Resource Document
PYTHAGORAS. of Samos{570490BC}. The Indigenous Nativity Philosphical Foundations of that which is deemed Classical Western Science.
http://www.mountainman.com.au/pythagor.html

Extractions: of that which is deemed Classical Western Science Web Publication by Mountain Man Graphics, Australia in the Southern Autumn of 1996 It should be recalled that the foundations of the classical physical sciences, mathematics and geometries can be traced back to the ancient Greek philsophers and sages whose recorded wisdoms and writings were rediscovered after the Dark Ages, and upon whose philosophies and sciences the emerging western civilisation sought to rebuild knowledge "anew". This article examines the translated historical literature specifically concerning the Pythagoras, one of the earliest of the ancient Greeks, by way of very brief summarisation of the extensive researched work of the classicist WKC Guthrie. The following series of notes are drawn from my review of the book: - by W.K.C. GUTHRIE (Published 1962) I have made no attempt to make the following account coherent at this stage, except for a brief index, for its purpose is largely reference material for further research and development concerning my own understanding of nature as outlined in such articles as: "The Nature of Nature"
Pythagoras Of Samos
Return to MATHGYM Back pythagoras of samos A Collection of Essays and Lessons for Junior and Senior High School. Below are a collection
http://www.mathgym.com.au/history/pythagoras/pyth.htm

Extractions: Below are a collection of essays on the influence of Pythagoras and the Pythagoreans on Western civilisation, and in particular, Western Mathematics. Beside each is an Activity that investigates the mathematics of the period and a suggested audience. Essays Related Activities Suggested Target Audience for Activity
Pythagoras Of Samos Free Essays
Pythagorean Theorem The Greek philosopher pythagoras of samos is responsible of great advances in the study of astronomy, mathematics and the theory of music. A tyrant ruled Samos at the time and
http://www.netessays.net/viewpaper/6573.html
Pythagoras - Number
Return to MATHGYM Back pythagoras of samos A Collection of Essays and Lessons for Junior and Senior High School. Contents 6. Early
http://www.mathgym.com.au/history/pythagoras/pythnum.htm

Extractions: Introduction: The Pythagorean view of the universe rested squarely on the belief that Natural (counting) number was the key to the various qualities of mankind and matter. Since in their view everything was composed of number, the explanation for an objects existence could only be found in number. Elsewhere about this time, number existed for utilitarian purposes only, as a device for solving problems in calendar construction, building and commerce. It was the Pythagoreans who saw number as important in itself, the numbers themselves having "personality in a rustic landscape". The distinction was made between logistic (art of computation) and arithmetic (number theory). Kline [6 ] quotes the famous Pythagorean Philolaus (425 B.C.E.), as writing: "Were it not for number and its nature, nothing that exists would be clear to anybody either in itself or in its relation to other things...You can observe the power of number exercising itself ... in all acts and the thoughts of men, in all handicrafts and music." Pythagoras and the early Order initially treated number concretely, as patterns with pebbles, but over time the Pythagoreans developed and refined their concept of number into the same abstract entity which still exists today. Though it is difficult to separate fact from fancy in some of the surviving references to the Pythagoreans, it is generally conceded that they began number theory, and were responsible for the introduction and development of number mysticism in Western Society.
History Of Pythagoras
pythagoras of samos was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music.
http://www.geocities.com/CapeCanaveral/Launchpad/3740/history.html

Extractions: By: Seth Yoshioka-Maxwell Pythagoras of Samos was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music. He left Samos because of the tyrant who ruled there and went to southern Italy about 532 BC. He founded a philosophical and religious school in Croton that had many followers. Although the theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier he may have been the first to prove it. Of his actual work nothing is known. His school practiced secrecy and communalism making it hard to distinguish between the work of Pythagoras and that of his followers. His school made outstanding contributions to mathematics. Pythagoreans believed that all relations could be reduced to number relations. This generalization stemmed from observations in music, mathematics and astronomy. The Pythagoreans noticed that vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers, and that these ratios could be extended to other instruments. The most important discovery of this school was the fact that the diagonal of a square is not a rational multiple of its side. This result showed the existence of irrational numbers. Not only did this disturb Greek mathematics but the Pythagoreans' own belief that whole numbers and their ratios could account for geometrical properties was challenged by their own results.
Pre-Socratic Philosophers - Pythagoras Of Samos
What we can reasonably guess about pythagoras of samos and the Pythagorean philosophers concerning his biography, his vegetarianism, and his belief in
http://ancienthistory.about.com/library/weekly/aa011299.htm

Extractions: zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About History Ancient / Classical History Philosophy ... Trojan War Hero Achilles - Troy zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Atlas and Places - Where? Ancient Greece - Greek Ancient Rome - Romans ANE Egypt Persia Israel... ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Subscribe to the About Ancient / Classical History newsletter. Search Ancient / Classical History The Presocratic Philosophers Pythagoras of Samos ( c c .480 B.C.) Related Resources Quotes Xenophanes Pythagoras is, according to J.V. Luce ("Introduction to Greek Philosophy"), the most familiar of the Pre-Socratics , yet we know surprisingly little about him. Many assume he didn't write, but we don't even know that for sure. We believe the brotherhood, in homage to their founder, attributed later discoveries to Pythagoras, and we know the brotherhood kept close guard on its activities. Even so, Luce believes we can still make fair guesses about Pythagoras' beliefs and biography. Profile
Pythagoras - Famous Mathematicians Pictures, Posters, Gifts Items, Note Cards, G
pythagoras of samos. c. 569 500 BCE. pythagoras of samos was the leader of a Greek religious movement whose central tenet was that
http://www.mathematicianspictures.com/Mathematicians/Pythagoras.htm

Extractions: Poster All items carry our Total Satisfaction Guarantee . If you are dissatisfied with any item you purchase, simply advise us and return it within 15 days for replacement or refund. Pythagoras of Samos c. 569 - 500 B. C. E. Pythagoras of Samos Pythagoras is pictured Euclid , likely independently of the work of the Pythagoreans, developed and recorded, in his Elements , his own proof of the same theorem.
Pythagoras Of Samos (ca. 560-ca. 480 BC) -- From Eric Weisstein's World Of Scien
pythagoras of samospythagoras of samos. ?.
http://www.astro.virginia.edu/~eww6n/bios/Pythagoras.html

Extractions: Greek philosopher and mathematician who founded the mystic Pythagorean cult. The cult he founded was devoted to the study of numbers, which the Pythagoreans saw as concrete, material objects. They studied figurate numbers defining them as triangular numbers pentagonal numbers hexagonal numbers etc., based on the patterns that numbers of regularly spaced dots formed (Boyer 1968, p. 59-61). Pythagoras's biographer Proclus ascribed two specific mathematical discoveries to Pythagoras: construction of the regular solids (known today as the Platonic solids ), and the theory of proportionals. Pythagoras also investigated the ratios of lengths corresponding to musical harmonies, undertook studies in number theory, and developed methods of geometric proof. Among the results attributed to Pythagoras and his followers is the proof that the number Pythagoras's constant ) is irrational usually attributed to Hippasus Pythagoras developed a modern theory of vision much simpler than that of Plato . This theory maintained that light is emitted from luminous bodies, can suffer reflections, and causes the sensation of sight when it enters the eyes. He was the first Greek to realize that the morning star and evening star were both the planet
Www.intelligentchild.com/astronomy/pythagoras.html
pythagoras of samos biography theoremA biography of pythagoras of samos Greek philosopher mathematician. His Theorem. The Pythagoreans. pythagoras of samos an outline biography.
http://www.intelligentchild.com/astronomy/pythagoras.html
Pythagoras
?. pythagoras of samos. Born about 580 BC in Samos, Ionia Died about 500 BC in Metapontum, Lucania. ?.
http://nkiso.u-tokai.ac.jp/math/komori/jpeg/pythago.htm
Pythagoras Of Samos
pythagoras of samos. 569BC 475BC.
http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Pyt

Extractions: Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subjects entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved.
Pythagoras
Mathematicians pythagoras of samospythagoras of samos. Not much is known about Pythagoras and nothing about his life and work can be proven. Probably, he lived around 500 BC.
http://history.math.csusb.edu/Mathematicians/Pythagoras.html

Extractions: Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure. We do have details of Pythagoras's life from early biographies which use important original sources yet are written by authors who attribute divine powers to him, and whose aim was to present him as a god-like figure. What we present below is an attempt to collect together the most reliable sources to reconstruct an account of Pythagoras's life. There is fairly good agreement on the main events of his life but most of the dates are disputed with different scholars giving dates which differ by 20 years. Some historians treat all this information as merely legends but, even if the reader treats it in this way, being such an early record it is of historical importance. Pythagoras's father was Mnesarchus ([12] and [13]), while his mother was Pythais [8] and she was a native of Samos. Mnesarchus was a merchant who came from Tyre, and there is a story ([12] and [13]) that he brought corn to Samos at a time of famine and was granted citizenship of Samos as a mark of gratitude. As a child Pythagoras spent his early years in Samos but travelled widely with his father. There are accounts of Mnesarchus returning to Tyre with Pythagoras and that he was taught there by the Chaldaeans and the learned men of Syria. It seems that he also visited Italy with his father.

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