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 Archimedes Of Syracuse:     more detail

1. Buoyancy
Offers a short summary of the scholar's life. Also provides a detailed look at his theory of flotation.
http://www.engineering.usu.edu/jrestate/workshops/buoyancy/buoyancy.php
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##### Buoyancy
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##### 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 problems by drawing figures in the dirt. He is even said to have carried a small wooden tray filled with sand, which he used to draw his figures and work on his mathematical problems. This tray would have been Archimedes' version of the modern lap top computer. Of course, such a device is not without its problems: A strong wind could blow away a brilliant proof; a bully could kick a theorem into your face, and should a cat wander into the tray, the outcome could be too disgusting to contemplate.

2. Archimedes
Detailed biography along with related links.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Archimedes.html
##### Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily
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Archimedes ' father was Phidias, an astronomer. We know nothing else about Phidias other than this one fact and we only know this since Archimedes gives us this information in one of his works, The Sandreckoner. A friend of Archimedes called Heracleides wrote a biography of him but sadly this work is lost. How our knowledge of Archimedes would be transformed if this lost work were ever found, or even extracts found in the writing of others. Archimedes was a native of Syracuse, Sicily. It is reported by some authors that he visited Egypt and there invented a device now known as Archimedes' screw . This is a pump, still used in many parts of the world. It is highly likely that, when he was a young man, Archimedes studied with the successors of Euclid in Alexandria. Certainly he was completely familiar with the mathematics developed there, but what makes this conjecture much more certain, he knew personally the mathematicians working there and he sent his results to Alexandria with personal messages. He regarded

 3. Archimedes Home Page Timeline Siege of Syracuse Archimedes' Claw New! Death of Archimedes Tomb of Archimedes Burning Mirrors The Golden Crown Archimedes Screw Stomachionhttp://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. References For Archimedes
SH Hollingdale, archimedes of syracuse a tribute on the 22nd century of his death, C Pereira da Silva, On archimedes of syracuse (Portuguese), Bol.
http://www-groups.dcs.st-and.ac.uk/~history/Printref/Archimedes.html
##### References for Archimedes
• Biography in Dictionary of Scientific Biography (New York 1970-1990).
• Biography in Encyclopaedia Britannica. [available on the Web] Books:
• A Aaboe, Episodes from the early history of mathematics (Washington, D.C., 1964).
• R S Brumbaugh, The philosophers of Greece (Albany, N.Y., 1981).
• H Bernhard, Archimedes, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983).
• E J Dijksterhuis, Archimedes (Copenhagen, 1956 and Princeton, NJ, 1987).
• T L Heath, A history of Greek mathematics II (Oxford, 1931).
• Danske Vid. Selsk. Mat.-Fys. Medd.
• W R Knorr, Archimedes and the pseudo-Euclidean 'Catoptrics' : early stages in the ancient geometric theory of mirrors, Arch. Internat. Hist. Sci.
• S Ya Lur'e, Archimedes (Russian) (Moscow-Leningrad, 1945).
• E Rufini, (Milan, 1961).
• I Schneider, Archimedes : Ingenieur, Naturwissenschaftler und Mathematiker (Darmstadt, 1979).
• E S Stamatis, The burning mirror of Archimedes (Greek) (Athens, 1982). Articles:
• A Aaboe and J L Berggren, Didactical and other remarks on some theorems of Archimedes and infinitesimals
•  5. Siege Of Syracuse Describes the role of Archimedes and other key figures in the siege of Syracuse during the Second Punic War, as well as accounts by Polybius, Livyhttp://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Archimedes Of Syracuse (ca. 287-ca. 212 BC) -- From Eric Weisstein's World Of Sc
archimedes of syracuse (ca. 287ca. 212 BC) Some of Archimedes s geometricproofs were actually motivated by mechanical arguments which led him to the
http://scienceworld.wolfram.com/biography/Archimedes.html
 Branch of Science Mathematicians Nationality Greek 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 , excelling especially at computing areas and volumes using the method of exhaustion 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 was engraved on his tombstone. In fact, it is often said that Archimedes would have invented calculus if 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.

 8. Archimedes Biography Archimedes biography archimedes of syracuse geometryhttp://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. B Archimedes Of Syracuse /B
archimedes of syracuse. Born 287 BC in Syracuse, Sicily Died 212 BC in Syracuse,Sicily. external. tex2html_wrap_inline152 Archimedes, the greatest
http://www.math.tamu.edu/~don.allen/history/archimed/archimed.html
 Next: About this document Archimedes of Syracuse Born: 287 BC in Syracuse, Sicily Died: 212 BC in Syracuse, Sicily Archimedes, the greatest mathematician of antiquity, made his greatest contributions in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz. He was the son of the astronomer Phidias and was close to King Hieron and his son Gelon, for whom he served for many years. He was an accomplished engineer but loved pure mathematics. Stories from Plutarch, Livy, and others describe machines invented by Archimedes for the defense of Syracuse. These include the catapult, the compound pulley and a burning-mirror. Among Archimedes most famous works is Measurement of the Circle , in which he determined the exact value of to be between the values and . This he obtained by circumscribing and inscribing a circle with regular polygons having 96 sides. However, he required the proof of two fundamental relations about the perimeters and areas of inscribed and circumscribed regular polygons. The computation.

 10. Archimedes, Of Syracuse Archimedes, of Syracusehttp://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Archimedes Biography
Archimedes biography archimedes of syracuse geometry. Archimedes ofSyracuse (pronounced arka-meed-eez) is considered one of the greatest
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Background: A rchimedes of Syracuse (pronounced ar-ka-meed-eez) is considered one of the greatest mathematicians in history. In fact, he is believed to be one of the three greatest mathematicians along with Isaac Newton and Carl Gauss. His greatest contributions to mathematics were in the area of Geometry. Archimedes was also an accomplished engineer and an inventor. He was believed to have been obsessed with Geometry though. A rchimedes was born in Syracuse, Greece in 287 BC and died 212 BC after being killed by a Roman soldier who did not know who Archimedes was. He was the son of an astronomer: Phidias of whom we know nothing about. Archimedes received his formal education in Alexandria, Egypt which at the time was considered to be the 'intellectual center' of the world. When he completed his formal studies in Alexandria, he returned and stayed in Syracuse for the rest of his life. It is not known whether he ever married or had children.

13. Archimedes, Of Syracuse
archimedes of syracuse (c287212 BC) was a mathematician and inventor. His fatherwas Pheidias, an astronomer, of which we know nothing.
http://www.nahste.ac.uk/isaar/GB_0237_NAHSTE_P1090.html
##### Biographical Information
Occupation, Sphere of Activity Archimedes of Syracuse ( c287-212 BC ) was a mathematician and inventor. His father was Pheidias, an astronomer, of which we know nothing. While he is famous now, as he was then, largely because of his inventions, it is reported that he despised invention as being less "pure" than geometry, and he never wrote about his creations. Little is known about his life, though he is described by some as having been a relative - by others as a close friend - of Hiero (or Hieron) II, King of Syracuse, who employed him as a tutor to his son. He almost certainly spent a part of his life studying in Alexandria - where he is thought to have played an important role in the development of Euclidian mathematics. It is probably here that he met Conon of Samos, who he remained in correspondence with as a personal as well as professional friend. He wrote a number of books, ten of which have survived largely intact. These deal mostly with geometrical problems - particularly centres of gravity of solids, studies of spheres and conical sections, spirals and other mathematical matters. Among his propositions, particularly interestingly, are an approximation of 'pi' - which he reached after circumscribing and inscribing a circle with two 96-sided polygons, an explanation of the law of levers, a foundation for theoretical mechanics, a means of accurately approximating square roots of large numbers, a precursor to Newton and Leibniz's calculus and a proposed system of numbering for large figures which went high enough - 8x10^16 in modern notation - to count to a higher number than the number of grains of sand that would fill the universe - or so Archimedes believed.

 14. Archimedes Palimpsest 269 B.C. Archimedes studies at Alexandria 263 B.C. - Archimedes returns to Syracuse The invention of the Archimedes Screw Archimedes testshttp://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Archimedes Of Syracuse | 287-212 BC | Sicillian Mathematician
NAHSTE logo. archimedes of syracuse 287212 BC Sicillian mathematician.Biographical information Gregory Papers (1675-1713); Some notes about books in
http://www.nahste.ac.uk/pers/a/GB_0237_NAHSTE_P1090/
 the project the collections biographies multimedia the project the collections biographies multimedia ... Lectio ... Isaaci Barrow ... in Libros Archimedis

 16. Archimedes Of Syracuse The Father Of Buoyancy archimedes of syracuse The Father of Buoyancy. People have been aware of objects floating on water (or sinking) since before recorded history.http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

 17. Math Trek Floating Bodies, Science News Online, Aug. 21, 2004 Floating Bodies Ivars Peterson. One of the most famous stories about archimedes of syracuse (287212 B.C.) involves a bathtub.http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

 18. Works Of Archimedes Of Syracuse Greek and Roman Literature HOME GREEK and ROMAN BABYLONIAN and EGYPTIAN archimedes of syracuse (c. 287212 B.C.)http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Demonstration Of The Archimedes' Solution To The Trisection Problem
by archimedes of syracuse (circa 287 212 BC). archimedes of syracuse is popularilyknown for the law he discovered on occasion of taking his bath.
http://www.cut-the-knot.org/pythagoras/archi.shtml
 Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Angle Trisection by Archimedes of Syracuse (circa 287 - 212 B.C.) Archimedes of Syracuse is popularily known for the law he discovered on occasion of taking his bath . "Eurika" he exclaimed and made it into the history. (Along with Newton and Gauss he is counted among the greatest mathematicians of all times. As an engineer he frustrated numerous attempts by the Romans to capture the city of Syracuse.) The problem of constructing an angle equal to the one third of the given one has been pondered since the times of antiquity. Probably to make the notion of 'geometric construction' more exciting the Ancient Greeks have restricted the allowed operations to using a straightedge and a compass. It's thus specifically forbidden to use a ruler for the sake of measurement. Three famous construction problems lingered until early 19th century when it was shown that it's impossible to solve them with the help of only a straightedge and a compass. The three problems are: to trisect a given angle, to double a cube, and to square a circle . However, one illicit solution that has been found in the works of Archimedes is demonstrated below. (This is Proposition 8 from his

20. Story Of Archimedes Taking Bath
archimedes of syracuse (circa 287 212 BC). Following is an excerpt from Vitruvius,The Ten Books of Architecture. In the case of Archimedes,
http://www.cut-the-knot.org/pythagoras/bath.shtml