1. 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

Branch of Science Mathematicians Branch of Science Philosophers ... Greek Pythagoras of Samos (ca. 560-ca. 480 BC) 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

2. Pythagoras Of Samos Detailed biography, including pictures, from the MacTutor History of Mathematics archive. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html

3. 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

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 Get your own Free Home Page

4. 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

BellSouth Foundation Technology in Education Grant Pythagoras of Samos Getting It Right Top of Content Lesson Explorations Navigation Bar 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.

5. 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

Pythagoras of Samos Mathematician 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. Click on the picture for larger view of Pythagoras of Samos. More About Pythagoras Below Mathematician Pythagoras Picture of Bronze Bust Eleganza Galleries Busts Vases Reliefs Statues ... Designer's Choice 400+ Masterpieces Founded in 1979 Pythagoras Bust Stock # Size Base Price S/H Comments PayPal 10.5" Black Patinated Bronze Bonded Stone Credit card orders may be placed by using PayPal for continental U.S. If PayPal is not available for this sculpture, or for sculptures with collect shipping, or you prefer to make a credit card order directly with Eleganza, call us toll free, at 866.783.4867.

6. 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

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 Pythagoras of Samos and his mathematical theories. Note! The sentences in this essay are shuffled, making this essay unusable If you want to read the essay in it's original and proper state, click here. We use this page for our internal search engine, and it's not meant to be viewable. Mathematics Home Essays [LOGIN] ... 1995-2004, Loadstone

7. 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

8. 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

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.

9. 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

PYTHAGORAS of that which is deemed Classical Western Science Web Publication by Mountain Man Graphics, Australia in the Southern Autumn of 1996 The Ancient Greeks and Nature 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: "A History of Greek Philosophy", Volume I: The Earlier PreSocratics and the Pythagoreans - 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" "The Elements of Nature" "The Mineral Kingdom" : What is the nature of the Kingdom of Minerals?

10. 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

Return to MATHGYM Back P YTHAGORAS of S AMOS A Collection of Essays and Lessons for Junior and Senior High School 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 Setting the Scene - 600 B.C.E. Activity 1 - Universal time line Junior Secondary Pythagoras' Theorem - origins and proofs Activity 2 - That Theorem Junior Secondary Pythagorean Number - origins of abstract number concepts Activity 3 - Odds and Evens - Direct Proof Activity 4 - Finite differences and Proof by Induction Junior/Senior Secondary Senior Secondary Pythagorean Algebra/proportion - origins of geometric algebra Activity 5 - Solution of Quadratics Junior Secondary Pythagorean Geometry - origins of logical method Activity 6 - Regular Polygons Activity 7 - Regular Polyhedrons Junior Secondary Junior Secondary

11. 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

Home Login Join FAQ ... Custom Papers Pythagoras of Samos Subjects: 101,000 Term Papers Arts Custom Papers Direct Essays ... Hot Or Not College Login: Login Here! Top Essay Sites Get your essays here, to choose from! Pythagoras of Samos Wordcount = 547 Featured Papers Pythagoras of Samos Pythagoras Pythagoras Pythagoras ... Click here for professional written papers on Pythagoras of Samos This is only the first few lines of this paper!! If you would like to view the entire paper you need to register here Top Essay Sites HELP!

12. 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

Return to MATHGYM Back P YTHAGORAS of S AMOS A Collection of Essays and Lessons for Junior and Senior High School Contents Early concepts of Number and Number Mysticism Figurate Numbers Number Patterns in Music Incommensurables ... Academic 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.

13. 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

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.

14. 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

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); Stay Current 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 Mathematics Religion/Mysticism Dateline: 01/12/99 Once, they say, he Pythagoras was passing by when a dog was being ill-treated. 'Stop!' he said, 'don't hit it! It is the soul of a friend! I knew it when I heard its voice.' 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 A native of Samos, a powerful, technologically advanced Ionian city-state, Pythagoras opposed the regime of Polycrates, a tyrant who came to power in the

15. 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

Home about The Mathematicians Gift Shop about us ... Cantor Pythagoras Gift items available include: Pythagoras 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.

16. 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

Branch of Science Mathematicians Branch of Science Philosophers ... Greek Pythagoras of Samos (ca. 560-ca. 480 BC) 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

17. 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

18. 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

ƒsƒ^ƒSƒ‰ƒX Pythagoras of Samos Born: about 580 B.C. in Samos, Ionia Died: about 500 B.C. in Metapontum, Lucania @ƒsƒ^ƒSƒ‰ƒX‚͍łà’m–¼“x‚ª‚‚¢”ŠwŽÒ‚Å‚Í‚È‚¢‚Å‚µ‚傤‚©DÅ‹ß‚Í ŽO•½•û‚̒藝 ‚ƏK‚¤‚Ì‚©‚à‚µ‚ê‚Ü‚¹‚ñ‚ª ƒsƒ^ƒSƒ‰ƒX‚̒藝 ‚Æ‚àŒ¾‚¢‚Ü‚·D ƒsƒ^ƒSƒ‰ƒX‚̓G[ƒQŠC‚É‚ ‚éƒTƒ‚ƒX“‡‚ɐ¶‚܂ꂽDƒMƒŠƒVƒƒ‚̉©‹àŽž‘ã‚Å‚ ‚Á‚½D “Œ—m‚ł͎߉ނƍEŽq‚ª‚»‚Ì“¹‚ðà‚¢‚Ä‚¢‚½Žž‘ã‚Å‚ ‚Á‚½D @ƒsƒ^ƒSƒ‰ƒX‚̓^ƒŒƒX‚É‹³‚¦‚ðŽó‚¯‚邽‚߂Ɍ̋½‚ðoCƒ^ƒŒƒX‚©‚瑽‚­‚Ì ’mŽ¯‚𓾂½‚Ì‚¿‚ɁCƒGƒWƒvƒg‚É—¯Šw‚µC‚»‚̊ԂɃoƒrƒƒjƒA‚à–K‚ꂽ‚Æ‚¢‚¤ à‚à‚ ‚éD @ƒsƒ^ƒSƒ‰ƒX‚Í’·‚¢ŠO‘—¯Šw‚ÌŒãŠwZ‚ðŠJ‚¢‚½D @‚»‚±‚ŔނªŠO‘‚ÅŠw‚ñ‚¾”ŠwC“NŠwCŽ©‘R‰ÈŠw‚ð‹³‚¦C’íŽq‚Æ‚Æ‚à‚É ‚±‚ê‚ç‚ÌŒ¤‹†‚É‚Í‚°‚ñ‚¾D @‚±‚ÌŠwZ‚ł́C’íŽq‚½‚¿‚Í‚»‚±‚ÅŠw‚ñ‚¾‚±‚Æ‚ÍŒûŠO‚·‚邱‚Ƃ͌ł­ ‹Ö‚¶‚ç‚ê‚Ä‚¢‚½D‚Ü‚½’íŽq‚½‚¿‚Ì”­Œ©‚µ‚½‚±‚Æ‚Í‚·‚ׂĎt‚Ì ƒsƒ^ƒSƒ‰ƒX‚Ì”­Œ©‚Æ‚³‚ꂽD @‚µ‚½‚ª‚Á‚Ä‚±‚ÌŠwZ‚́CŠwZ‚Æ‚¢‚¤‚æ‚è‚Í‚Þ‚µ‚ë ‹³’c ‚̐«Ši‚𠎝‚Á‚Ä‚¢‚½D @‚±‚ÌŠwZ‚ª·‚ñ‚É‚È‚é‚ɂ‚êCƒsƒ^ƒSƒ‰ƒXŠw”h‚̐lX‚Í ­Ž¡‚É‚àŒû‚ðo‚·‚悤‚É‚È‚Á‚½D @‚»‚Ì‚½‚ß”½‘Δh‚̐l‚½‚¿‚Ì”½Š´‚ª‹­‚Ü‚èC ‚±‚ÌŠwZ‚Í ‚³‚ê‚Ä‚µ‚Ü‚Á‚½D ƒsƒ^ƒSƒ‰ƒXŠw”h ‚̋Ɛт͐”˜_CŠô‰½Šw‚»‚µ‚Ä ‰¹Šy ‚ɂ܂Ő”‘½‚­‚ÌŒ©Ž–‚ÈŽdŽ–‚ðŽc‚µ‚Ä‚¢‚éD ƒsƒ^ƒSƒ‰ƒX‚̒藝ˆÈŠO‚É‚¢‚­‚‚©‹“‚°‚é‚ƁC Šï”‚̘a‚ª•½•û”‚ɂȂ邱‚ƁD —áj@1 + 3 + 5 + 7 + 9 = 25 = 5 x 5 ŽOŠpŒ`‚Ì“àŠp‚̘a‚Í180“x‚Å‚ ‚éD ƒsƒ^ƒSƒ‰ƒX‰¹ŠKiŒ·‚Ì’·‚³‚𔼕ª‚É‚·‚é‚Æ1ƒIƒNƒ^[ƒu‚‚­‚È‚éj —ðŽj‚̃y[ƒW‚Ö–ß‚é l•¨ˆê——‚̃y[ƒW‚Ö–ß‚é

19. Pythagoras Of Samos pythagoras of samos. 569BC 475BC. http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Pyt

You are in: Virtual Public Library Hall of Education Mathematics Pythagoras of Samos Pythagoras of Samos Start your search on Pythagoras of Samos Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans 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 subject’s 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. Virtualology TM Search: About Us e-mail us Now Available in Paperback President Who? Forgotten Founders Click Here Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

20. History.math.csusb.edu/Mathematicians/Pythagoras.html 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

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