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  1. ARCHIMEDES OF SYRACUSE: THE CHEST OF IDEAS by Monte R Anderson, 2009-10-29
  2. The Sand Reckoner of Archimedes by Archimedes of Syracuse, 2010-10-01
  3. Naissance à Syracuse: Archimède, Lucie de Syracuse, Mario Feroce, Alessio Di Mauro, Gaetano Zumbo, Giuseppe Di Grande, Giuseppe Gibilisco (French Edition)
  4. People From Syracuse (City), Sicily: Archimedes, Tonino Accolla, Methodios I of Constantinople, Giuseppe Gibilisco, Elio Vittorini
  5. The legend of Archimedes and the burning mirrors of Syracuse (F.R. note) by D. L Simms, 1964
  6. Archimedes and the burning mirrors of Syracuse by D. L Simms, 1977
  7. The Sand Reckoner: Archimedes, Universe, Syracuse, Sicily, Gelo, son of Hiero II, Academic Paper, Large Numbers, Myriad, Long and Short Scales
  8. Archimedes Russell: Upstate Architect (York State Books) by Evamaria Hardin, 1980-09
  9. Ancient Syracusians: Archimedes, Agathocles, Cephalus, Hiero I of Syracuse, Theocritus, Dionysius I of Syracuse, Philistus, Sophron
  10. The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering: Proceedings of an International Conference held at Syracuse, ... (History of Mechanism and Machine Science)
  11. Archimedes: Archimedes' Screw, the Sand Reckoner, the Method of Mechanical Theorems, Siege of Syracuse, the Quadrature of the Parabola, Salinon

21. TMTh:: ARCHIMEDES OF SYRACUSE
Archimedes played a major part in defending his natal city of Syracuse againsta protracted Roman siege, as the designer of a host of weapons and machines
http://www.tmth.edu.gr/en/aet/1/13.html

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AGRICULTURALISTS
ARCHITECTS ... PHYSICISTS MATHEMATICIAN ARCHIMEDES OF SYRACUSE (fl. 287-212 BC) Life
A commentary on Archimedes is found in the work of 6th century writer Eutocius of Ascalon, who also mentions a biography (now lost) of the celebrated mathematician written by Heraclides.
Work
The principal extant works are:
"On the Sphere and Cylinder": books I and II. Book I: Quadrature of the parabola, 6 definitions, 5 propositions (the 5th is the axiom of continuity), 44 theorems.
"Measurement of the Circle": 3 theorems are preserved.
"On Conoids and Spheroids": The book contains 32 theorems and 1 corollary following the 6th theorem. Some of the theorems use trigonometric functions and integral calculus.
"On Spirals": The book contains 28 theorems and 6 corollaries.
"On the Equilibrium of Planes or Centres of Gravity of Planes or Mechanics": Books I and II. Book I: Theory of levers. Contains 7 postulates, 15 theorems and 2 corollaries following the 5th theorem. Book II: Centre of gravity of paraboloid plane sections. 10 theorems. "The Sand-Reckoner" "Quadrature of the Parabola" "On Floating Bodies" (Hydrostatics) "On the Method of Mechanical Theorems" "Book of Lemmas" "The Cattle Problem" "On the Heptagon in a Circle" "The Water Clock" "On Tangential Circles" "Principles of Geometry" Lost works: "On Triangles" "On Quadrangles" "On 13 semi-regular solids" "Arithmetic" "On Balances or Levers" "Centres of Gravity" "On Sundials" "Catoptrica" (Optics) "Isoperimetrics"

22. Archimedes Of Syracuse: The Discovery Of Archimedes' Principle
archimedes of syracuse The Discovery of Archimedes Principle.
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    Archimedes (c. 287-212 BC) is considered as one of the greatest mathematicians and inventors of all time.
    Archimedes was born in Syracuse, Sicily. He lived there most of his life. When the Romans attacked Syracuse, Archimedes invented weapons to defend the city. He is said to have suggested a method of employing mirrors to set enemy ships afire. After a two-year siege the Romans finally entered the city, and Archimedes was killed in the battle that followed. Among his other important inventions: the lever, the compound pulley and Archimedes’ screw But his greatest fame lies in the field of mathematics. Archimedes was able to apply the method of exhaustion In mechanics Archimedes discovered fundamental theorems concerning the centre of gravity of plane figures and solids. His most famous theorem gives the weight of a body immersed in a liquid, called after him, Archimedes' principle - that a body immersed in a fluid is subject to an upward force (buoyancy) equal in magnitude to the weight of fluid it displaces. Legend says that Archimedes discovered the principle of displacement while stepping into a full bath. He realized that the water that ran over equaled in volume the submerged part of his body. Through further experiments, he deduced the above mentioned Archimedes' principle.
  • 23. Archimedes Of Syracuse The Mathematician (1/2)
    archimedes of syracuse (µ?d ? Sa?s?) (287 – 212) BC, son of theastronomer Phidias (according to the text of the Sand Reckoner) worked as an
    http://www.mlahanas.de/Greeks/ArchimedesMath.htm
    Archimedes of Syracuse the Mathematician Michael Lahanas Archimedes der Mathematiker Archidamos III , the King of Sparta (often wrongly used as an image of the Mathematician Archimedes) on the cover of a Japanese Basic Calculus book. Archimedes of Syracuse Sand Reckoner ) worked as an "engineering consultant" to the king, inventing many devices for military defense of the city such as catapults , iron claws and also probably an odometer and planetaria . Most of all he was a mathematician and a mathematical physicist. Timeline: Archimedes and contemporary ancient scientists from http://www-groups.dcs.st-and.ac.uk/~history/Timelines/index.html He was killed according to a legend by a Roman soldier in 212 BC. Archimedes visited Alexandria in Egypt to study the texts at the great Library of Alexandria , where Euclid had worked. He was a friend of Eratosthenes of Cyrene and Conon of Samos.
    • On the sphere and cylinder Plutarchi vitae parallelae, Marcellus ed. C. Sintenis, Lipsiae 1867
    Perhaps the best indication of what Archimedes truly loved most is his request that his tombstone include a cylinder circumscribing a sphere, accompanied by the inscription of his amazing theorem that the sphere is exactly two-thirds of the circumscribing cylinder in both surface area and volume!" (Laubenbacher and Pengelley, p. 95). Archimedes knew that he provided a proof: By nature, these properties had existed before for these figures, . . . but it happened that all missed this and nobody realized this

    24. Archimedes Of Syracuse The Mathematician (2 / 2)
    archimedes of syracuse was the first to show around 250 BC that the “two possiblePi s are the same. Clearly for a circle of radius r and diameter d,
    http://www.mlahanas.de/Greeks/ArchimedesMath2.htm
    Archimedes of Syracuse the Mathematician Michael Lahanas Archimedes der Mathematiker Part 2
      Measurement of a circle
    This approximation could be known before but Archimedes provided methods for better approximations for that provide lower and upper limits. He obtained the approximation, circumscribing and inscribing the circle with regular polygons having 96 sides. He used for this method also the approximation 265/153 for the square root of 3. Ptolemy (85-165 AD) later obtained the approximation = 3 = 3.14167 using an inscribed 360-gon I have found the following information: W hat Archimedes did was to obtain nice recursion formulas for the perimeters in term of geometric and harmonic averages (Q_2n = H(P_n,Q_n) and P_2n = G(P_n,Q_2n), where P_n is the perimeter of the inscribed n-polygon and Q_n is the perimeter of the circumscribed n-polygon), which he had to use together with some fairly accurate numerical method for estimating square roots. Archimedes did not use any means of the inscribed and circumscribed lengths. He did the inscribed ones recursively and he did the outside ones similarly. By the way, he explicitly made the assumption that a convex curve inside another curve is shorter. Another mention of convexity in his work is his assumption (axiom) that the center of gravity of a convex set

    25. Greek Scientists
    most original thinkers of Antiquity was archimedes of syracuse (287212 BC) . Archimedes was also interested in engineering and invented a hydraulic
    http://www.livius.org/gi-gr/greeks/scientists.html
    home index ancient Greece portrait gallery Greek scientists Authors Historians Philosophers Politicians Scientists We know almost nothing about Thales of Miletus . Later generations told many anecdotes about this wise man, but it is difficult to verify the reliability of these stories. What seems certain is that he predicted the solar eclipse of 28 May 585, which was remembered because the Lydian king Alyattes and the Median leader Cyaxares were fighting a battle on that day. Another reliable bit of information is that he did some geometrical research, which enabled him to measure the pyramids. However, his most important contribution to physics and philosophy is his attempt to give non-religious, rational explanations for physical phenomena. Behind the phenomena was not a catalogue of deities, but one single, original principle. Although his hypothesis that this principle was water is rather unfortunate, his idea to look for deeper causes was the true beginning of philosophy and science. One of the solutions to the problem postulated by Parmenides of Elea , was the hypothesis of Democritus of Abdera that matter was made up from atoms. There was no real evidence for this idea (which was not completely new), but is explained why change was possible. The atoms were always moving and clustering in various, temporary combinations. Therefore, things seemed to change, but 'not being' never changed into 'being'. (It was assumed that 'not being' was a vacuum, which means that it is in fact not a 'not being' because a vacuum exists in at least four dimensions.) The consequence of this idea is that we are allowed to use our senses, although Democritus warns us to be careful.

    26. Archimedes Of Syracuse
    It was not until archimedes of syracuse came along, that the theory of flotation Archimedes was born at Syracuse on the island of Sicily in 287 BC. His
    http://home12.inet.tele.dk/fil/archimedes.htm
    Archimedes Of Syracuse
    The Father of Buoyancy People have been aware of objects floating on water (or sinking) since
    before recorded history. It was not until Archimedes of Syracuse came
    along, that the theory of flotation and the buoyancy principle were
    defined.
    Archimedes was born at Syracuse on the island of Sicily in 287 BC. His
    father is thought to have been an astronomer, and as a young boy,
    Archimedes developed a life-long interest in the study of the heavens.
    As a youth he traveled to Egypt where he studied at the great Library of
    Alexandria.
    Archimedes is often described as being absentminded, self-absorbed,
    and somewhat eccentric. Despite these personal attributes, he was recognized in his own time as a genius, and is revered today as one of the greatest figures in the history of science and mathematics. Archimedes' first love was mathematics. He would often spend days so intently fixed on solving a problem that he neglected both food and his person to the point that his friends would carry him kicking and fighting to the bath. He often stooped to the ground to work mathematical

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    28. Works Of Archimedes Of Syracuse
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    Preface, Table of Contents and Introduction
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    29. Archimedes - Definition Of Archimedes In Encyclopedia
    For other uses, see Archimedes (disambiguation)archimedes of syracuse (circa 287BC 212 BC), was a Greek mathematician, astronomer, philosopher,
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    For other uses, see Archimedes (disambiguation)
    Archimedes of Syracuse (circa 287 BC 212 BC ), was a Greek mathematician astronomer philosopher ... physicist and engineer . He was killed by a Roman soldier during the sack of the city, despite orders from the Roman general, Marcellus , that he was not to be harmed. Some math historians consider Archimedes to be one of history's greatest mathematicians, along with possibly Newton and Gauss Contents showTocToggle("show","hide") 1 Discoveries and inventions
    2 Writings by Archimedes

    3 Quotes about Archimedes

    4 Named after Archimedes
    ...
    7 Notes
    Discoveries and inventions
    Archimedes became a popular figure as a result of his involvement in the defense of Syracuse against the Roman siege in the First and Second Punic Wars . He is reputed to have held the Romans at bay with war machines of his own design; to have been able to move a full-size ship complete with crew and cargo by pulling a single rope; to have discovered the principles of density and buoyancy , also known as Archimedes' principle , while taking a bath (thereupon taking to the streets naked calling " eureka " - "I have found it!"); and to have invented the

    30. Archimedes
    archimedes of syracuse ( circa 2 8 7 BC 2 1 2 BC ) , was a Greek Archimedes waskilled in 212 BC during the capture of Syracuse by the Romans in the
    http://www.crystalinks.com/archimedes.html
    Archimedes
    Archimedes was a famous mathematician whose theorems and philosophies became world known. He gained a reputation in his own time which few other mathematicians of this period achieved. He is considered by most historians of mathematics as one of the greatest mathematicians of all time. He discovered pi. Most of the facts about his life come from a biography about the Roman soldier Marcellus written by the Roman biographer Plutarch. According to Plutarch, Archimedes had so low an opinion of the kind of practical invention at which he excelled and to which he owed his contemporary fame that he left no written work on such subjects. While it is true thatapart from a dubious reference to a treatise, On Sphere-Making - all of his known works were of a theoretical character, nevertheless his interest in mechanics deeply influenced his mathematical thinking. Not only did he write works on theoretical mechanics and hydrostatics, but his treatise Method Concerning Mechanical Theorems shows that he used mechanical reasoning as a heuristic device for the discovery of new mathematical theorems. He was best known for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder, for hisformulation of a hydrostatic principle Archimedes' principle and for inventing the Archimedes screw (a device for raising water).

    31. Archimedes - Archimedes Of Syracuse - Greek Mathematician Archimedes
    Resources on Archimedes. Archimedes was a Greek mathematician from Syracuse.
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    Recent Up a category Archimedes Introduction to Archimedes. Review of the Sand Reckoner The original Sand Reckoner was a now lost monograph by Archimedes. This historical fiction is by Gillian Bradshaw, reviewed by Irene Hahn. Archimedes A comprehensive site on Archimedes whose evolving collection of Archimedean miscellanea includes a timeline, Siege of Syracuse, Archimedes' Claw,0Death of Archimedes, Th0 Golden Crown, Archimedes Screw, Stomachion, The Cattle Problem, Archimedean Solids, Spheres and Planetaria, The Lever, Royal Family of Syracuse, Coins of Syracuse, Books on Archimedes, and Archimedes Crater. Archimedes Ancient Manuscript Newspaper articles from October 29, 1998, on an ancient manuscript of Archimedes that sold for $2 million following a court decision on ownership.

    32. Archimedes - Mathematician Archimedes Of Syracuse
    Archimedes Information on archimedes of syracuse. Archimedes was a famous Greekmathematician.
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    Mathematician Archimedes of Syracuse (287-212 B.C.) Related Resources Review of the Sand Reckoner
    The original Sand Reckoner was a now lost monograph by Archimedes. This historical fiction is by Gillian Bradshaw.
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    The oldest surviving manuscript containing the works of Archimedes
    "Give me a lever long enough and a place to stand, and I will move the world." - Archimedes Although Archimedes was a mathematician, he is known for his strategic role in ancient war and the development of military techniques. First the Carthaginians, then the Romans besieged Syracuse where Archimedes was born. While in the end Rome won and killed him, Archimedes put up a good defense. First he invented an engine that threw stones at the enemy, then he used glass to set the Roman ships on fire.

    33. Archimedes Of Syracuse: Introduction
    archimedes of syracuse. Introduction the greatest of Greek mathematicians Archimedes eventually returned to Syracuse, where he earned fame as an
    http://cerebro.xu.edu/math/math147/02f/archimedes/archintro.html
    Archimedes of Syracuse
    Introduction: the greatest of Greek mathematicians
    In the third century BCE, Rome was involved in a series of military conflicts (the Punic Wars) with the Greek city-state of Carthage , situated across the Mediterranean Sea on the African coast . Caught in the middle of these conflicts was Syracuse, another city-state on the coast of Sicily, which was claimed by both sides. Initially allied with Carthage against Rome at the outset of the First Punic War in 263 BCE, Syracuse soon switched allegiance. The King of Syracuse, Hiero II , managed to keep war at bay by honoring this treaty with Rome, but the situation became precarious in the later years of the century as the Carthaginian general Hannibal was gaining the upper hand in Spain and Italy against poorly managed Roman armies. Archimedes (287 - 212 BCE), son of Phidias, an astronomer, was thought to have been a kinsman of Hiero. In his youth, Archimedes ventured to Alexandria in Egypt to avail himself of the best education to be found in the Greek world. There he would have been able to study the texts at the great Library of Alexandria, where Euclid had worked, and he made friendships with other philosopher-mathematicians, most notably Conon of Samos with whom he corresponded for many years. Archimedes eventually returned to Syracuse, where he earned fame as an "engineering consultant" to the king, inventing many clever devices for the military defense of the city: catapults, grappling hooks, and improvements to the architecture of the city walls.

    34. Article About "Archimedes" In The English Wikipedia On 24-Jul-2004
    archimedes of syracuse (circa 287 BC 212 BC), Archimedes became a popularfigure as a result of his involvement in the defense of Syracuse against the
    http://july.fixedreference.org/en/20040724/wikipedia/Archimedes
    The Archimedes reference article from the English Wikipedia on 24-Jul-2004 (provided by Fixed Reference : snapshots of Wikipedia from wikipedia.org)
    Archimedes
    See also Archimedes computer Archimedes (disambiguation) Archimedes of Syracuse (circa 287 BC 212 BC ), was a Greek mathematician astronomer philosopher ... physicist and engineer Table of contents showTocToggle("show","hide") 1 Discoveries
    2 Writings by Archimedes

    3 Quotes about Archimedes

    4 See also
    ...
    6 References
    Discoveries
    Archimedes became a popular figure as a result of his involvement in the defense of Syracuse against the Roman siege in the First and Second Punic Wars. He is reputed to have held the Romans at bay with war engines of his design ; to have been able to move a full-size ship complete with crew and cargo by pulling a single rope; to have discovereded the principles of density and buoyancy while taking a bath (thereupon taking to the streets naked calling " eureka " - "I have found it!"); and to have invented the irrigation device known as Archimedes' screw . He has also been credited with the possible invention of the odometer during the First Punic War In creativity and insight, he exceeded any other mathematician prior to the

    35. Archimedes - Famous Mathematicians Pictures, Posters, Gifts Items, Note Cards, G
    archimedes of syracuse is generally regarded as the greatest Archimedes waskilled in the aftermath of the Battle of Syracuse a siege won by the
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    36. Free Essays - Archimedes Of Syracuse
    archimedes of syracuse archimedes of syracuse (ca. 287ca. 212 BC) Greekmathematician who flourished in Sicily. He is genera.
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    This is the complete (358 words) free paper for the essay titled Archimedes Of Syracuse Archimedes Of Syracuse Archimedes of Syracuse (ca. 287-ca. 212 BC) Greek mathematician who flourished in Sicily. He is generally considered to be the greatest mathematician of ancient times. Most of the facts about his life come from a biography about the Roman soldier Marcellus written by the Roman biographer Plutarch. Archimedes performed numerous geometric proofs using the rigid geometric formalism outlined by Euclid (Greek geometer who wrote the Elements, the world's most definitive text on geometry.), excelling especially at computing areas and volumes using the METHOD OF EXHAUSTION(a integral-like limiting process to compute the area and volume of 2-D lamina and 3-D solids.). 3-D Solids He was especially proud of his discovery for finding the volume of a sphere, showing that it is two thirds the volume of the smallest cylinder that can contain it. At his request, the figure of a sphere and cylinder as engraved on his tombstone. In fact, it is often said that Archimedes would have invented calculus f the Greeks had only possessed a more tractable mathematical notation. By inscribing and circumscribing polygons on a circle, for instance, he was able to constrain the value of (pi ) between 3 10/71 and 3+1/7.

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    38. Kosmic Plenum
    archimedes of syracuse. http//www.cutthe-knot.com/pythagoras/archi.shtml.Angle Trisection by archimedes of syracuse (circa 287 - 212 BC)
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    var nEditorialCatId = 279; MSN Home My MSN Hotmail Shopping ... Money Web Search: document.write(' Groups Groups Home My Groups Language ... Help Kosmic Plenum KosmicPlenum@groups.msn.com What's New Join Now The Kosmic Plenum Messages ... Tools Archimedes of Syracuse Archimedes is considered one of the three greatest mathematicians of all time along with Newton and Gauss. In his own time, he was known as "the wise one," "the master" and "the great geometer" and his works and inventions brought him fame that lasts to this very day. He was one of the last great Greek mathematicians. Born in 287 B.C., in Syracuse, a Greek seaport colony in Sicily, Archimedes was the son of Phidias, an astronomer. Except for his studies at Euclid's school in Alexandria, he spent his entire life in his birthplace. Archimedes proved to be a master at mathematics and spent most of his time contemplating new problems to solve, becoming at times so involved in his work that he forgot to eat. Lacking the blackboards and paper of modern times, he used any available surface, from the dust on the ground to ashes from an extinguished fire, to draw his geometric figures. Never giving up an opportunity to ponder his work, after bathing and anointing himself with olive oil, he would trace figures in the oil on his own skin. http://www.shu.edu/projects/reals/history/archimed.html

    39. Archimedes Of Syracuse
    John J. O Conner and Edmund F. Robertson, archimedes of syracuse, http//turnbull.dcs.stand.ac.uk/history/Mathematicians/Archimedes.html (School of
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    D R A F T Archimedes of Syracuse History of Computing
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    Notes John J. O'Conner and Edmund F. Robertson , "Archimedes of Syracuse," http://turnbull.dcs.st-and.ac.uk/history/Mathematicians/Archimedes.html School of Mathematics and Statistics , University of St. Andrews, Scotland, accessed 2004 Sep 4 Top of page

    40. Archimedes Of Syracuse - Timeline Index
    One of the most original thinkers of Antiquity was archimedes of syracuse (287212BC). Because our approach to physics is based upon a model that was
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