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Greek mathematician, physicist, engineer, inventor, and astronomer. For other uses, see Archimedes disambiguation. Archimedes Thoughtful by Domenico Fetti Syracuse, Sicily , Magna Graecia.
Archimedes' principle Archimedes' screw hydrostatics levers infinitesimals Neuseis constructions . Mathematics Physics Engineering Astronomy Invention.
Main article: Archimedes' principle. Play media. Main article: Archimedes' screw. Main article: On the Equilibrium of Planes. Main article: Measurement of a Circle.
Main article: On Spirals. Main article: On the Sphere and Cylinder. Main article: On Conoids and Spheroids.
Main article: On Floating Bodies. Main article: The Quadrature of the Parabola. Main article: Ostomachion. Main article: Archimedes' cattle problem.
Main article: The Sand Reckoner. Main article: The Method of Mechanical Theorems. Main article: Archimedes Palimpsest. Ships and seamanship in the ancient world.
Baltimore: Johns Hopkins University Press. Of the surviving works by Archimedes, T. A History of Mathematics.
Arabic scholars also attribute to Archimedes the 'theorem on the broken chord ' Archimedes is reported by the Arabs to have given several proofs of the theorem.
Historia Mathematica. But in both instances the issue is Archimedes' inappropriate use of a "solid neusis," that is, of a construction involving the sections of solids, in the solution of a plane problem.
Yet Pappus' own resolution of the difficulty [IV, 54] is by his own classification a "solid" method, as it makes use of conic sections.
Collins Dictionary. Retrieved 25 September BBC History. Retrieved Henshaw 10 September JHU Press. Archimedes is on most lists of the greatest mathematicians of all time and is considered the greatest mathematician of antiquity.
A Contextual History of Mathematics. Shortly after Euclid, compiler of the definitive textbook, came Archimedes of Syracuse ca.
The MacTutor History of Mathematics archive. January Archimedes is arguably believed to be the greatest mathematician of antiquity.
A History of Analysis. American Mathematical Soc. Running Press. Archimedes, the greatest mathematician of antiquity, February University of St Andrews.
Archived from the original on 15 July Works of Archimedes. University of Oklahoma. June 8—10, History of Mechanism and Machine Science. Walters Art Museum.
Archived from the original on Parallel Lives Complete e-text from Gutenberg. Project Gutenberg. Archived from the original on 6 February New York University.
Courant Institute of Mathematical Sciences. Archived from the original on 10 December Archimedes and the Roman Imagination.
Archived from the original on 9 December Archived from the original on 9 June De Architectura , Book IX, paragraphs 9— Harvard University.
Archived from the original on 17 March Georgia State University. Archived from the original on 14 July Drexel University.
Archived from the original on 11 March Weber State University. Archived from the original on 8 August Archived from the original on 24 February Gnomon 62 8 — Ships and Seamanship in the Ancient World.
Princeton University Press. Archived from the original on 13 August Galen , On temperaments 3. Atlas Obscura.
Retrieved November 6, Online text at Wesley Center for Applied Theology. Time Magazine. November 26, Greek Science in Antiquity.
Dover Publications. Society of Women Engineers. Archived from the original on 18 July Technology Museum of Thessaloniki. Archived from the original on 5 September De re publica Complete e-text in English from Gutenberg.
Stony Brook University. BBC News. November 29, Extract from Parallel Lives. Matlab Central. Brown University Library. Rice University.
The Works of Archimedes Cambridge University Press. Archived from the original on 6 October Gianni A.
Sarcone and Marie J. Archived from the original on 14 May The New York Times. According to tradition, he invented the Archimedes screw , which uses a screw enclosed in a pipe to raise water from one level to another.
Archimedes wrote nine treatises that survive. Archimedes was so proud of the latter result that a diagram of it was engraved on his tomb.
In On Floating Bodies , he wrote the first description of how objects behave when floating in water. As a young man, Archimedes may have studied in Alexandria with the mathematicians who came after Euclid.
It is very likely that there he became friends with Conon of Samos and Eratosthenes of Cyrene. He died in that same city when the Romans captured it following a siege that ended in either or BCE.
However Archimedes died, the Roman general Marcus Claudius Marcellus regretted his death because Marcellus admired Archimedes for the many clever machines he had built to defend Syracuse.
Archimedes probably spent some time in Egypt early in his career, but he resided for most of his life in Syracuse , the principal Greek city-state in Sicily, where he was on intimate terms with its king, Hieron II.
Archimedes published his works in the form of correspondence with the principal mathematicians of his time, including the Alexandrian scholars Conon of Samos and Eratosthenes of Cyrene.
He played an important role in the defense of Syracuse against the siege laid by the Romans in bce by constructing war machines so effective that they long delayed the capture of the city.
When Syracuse eventually fell to the Roman general Marcus Claudius Marcellus in the autumn of or spring of bce , Archimedes was killed in the sack of the city.
Far more details survive about the life of Archimedes than about any other ancient scientist, but they are largely anecdotal , reflecting the impression that his mechanical genius made on the popular imagination.
According to Plutarch c. 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.
There are nine extant treatises by Archimedes in Greek. Archimedes was proud enough of the latter discovery to leave instructions for his tomb to be marked with a sphere inscribed in a cylinder.
That work also contains accurate approximations expressed as ratios of integers to the square roots of 3 and several large numbers.
On Conoids and Spheroids deals with determining the volumes of the segments of solids formed by the revolution of a conic section circle, ellipse, parabola , or hyperbola about its axis.
In modern terms, those are problems of integration. See calculus. On Spirals develops many properties of tangents to, and areas associated with, the spiral of Archimedes —i.
It was one of only a few curves beyond the straight line and the conic sections known in antiquity. Ann Arbor: University of Michigan Press, Kapitola Introducion The "Life of Archimedes", s.
The History of Cartography: Cartography in prehistoric, ancient, and medieval Europe and the Mediterranean.
Chicago: University of Chicago Press, 1. Kapitola The Dissemination of Cartographic Knowledge, s. Episodes from the Early History of Mathematics.
Washington, D. New mathematical library; sv. ISBN X. Kapitola Three Samples of Archimedean Mathematics, s.
Death of Archimedes: Sources [online]. Archimedes: The Father of Mathematics. The library of Greek philosophers. Kapitola The Final Years, s. The Trail for Archimedes's Tomb.
Journal of the Warburg and Courtauld Institutes. ISSN DOI : Archimedes's Tomb and the Artists: A Postscript.
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