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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. November 17, Mathematical Association of America.
Archived from the original on 19 May Archived from the original on 26 October Andrews University. University of Waterloo. Archived from the original on 11 August Archived from the original on 11 July April March Smithsonian Magazine.
October 29, Archived from the original on May 16, August 2, Archived from the original on 25 August Archived from the original on 19 August International Mathematical Union.
Archived from the original on July 1, California State Capitol Museum. Archived from the original on 12 October Archimedes at Wikipedia's sister projects.
Listen to this article Archimedean solid Archimedes's cattle problem Archimedes's principle Archimedes's screw Claw of Archimedes.
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Apollonius's theorem. Aristarchus's inequality Crossbar theorem Heron's formula Irrational numbers Menelaus's theorem Pappus's area theorem Ptolemy's inequality Ptolemy's table of chords Ptolemy's theorem Spiral of Theodorus.
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Philosophers Playwrights Poets Tyrants. Society Culture. 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. On the Equilibrium of Planes or Centres of Gravity of Planes ; in two books is mainly concerned with establishing the centres of gravity of various rectilinear plane figures and segments of the parabola and the paraboloid.
Much of that book, however, is undoubtedly not authentic, consisting as it does of inept later additions or reworkings, and it seems likely that the basic principle of the law of the lever and—possibly—the concept of the centre of gravity were established on a mathematical basis by scholars earlier than Archimedes.
His contribution was rather to extend those concepts to conic sections. That is, again, a problem in integration. Its object is to remedy the inadequacies of the Greek numerical notation system by showing how to express a huge number—the number of grains of sand that it would take to fill the whole of the universe.
What Archimedes does, in effect, is to create a place-value system of notation, with a base of ,, That was apparently a completely original idea, since he had no knowledge of the contemporary Babylonian place-value system with base The work is also of interest because it gives the most detailed surviving description of the heliocentric system of Aristarchus of Samos c.
Method Concerning Mechanical Theorems describes a process of discovery in mathematics. It is the sole surviving work from antiquity, and one of the few from any period, that deals with this topic.
Archimedes emphasizes that, though useful as a heuristic method, this procedure does not constitute a rigorous proof.
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. Svazek Charleston: BiblioBazaar, Kapitola Tomb of Archimedes discovered by Cicero, s.