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  1. Chronology for 500 BC - 1 - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Chronology/2/

    7 Mar 2023: He also proposes that the Earth orbits the Sun. In On the Sphere and the Cylinder, Archimedes gives the formulae for calculating the volume of a sphere and a cylinder. ... In Floating Bodies he presents what is now called "Archimedes' principle" and

  2. Archimedean Cattle - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Extras/ArchimedeanCattle/

    7 Mar 2023: y=(61 71 )(Ww). The smallest solution to this set of (linear) equations gives a total of 50,389,082 cattle. ... If you have solved this, Archimedes says you. shalt depart crowned with glory and knowing that thou hast been adjudged perfect in this species

  3. Archimedes (287 BC - 212 BC) - Biography - MacTutor History of…

    https://mathshistory.st-andrews.ac.uk/Biographies/Archimedes/

    30 Dec 2023: 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 most famous theorem gives the weight of a body immersed in a

  4. Squaring the circle - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/HistTopics/Squaring_the_circle/

    18 Jan 2024: Archimedes gives the following definition of the spiral in his work On spirals (see [5] for example):-. ... To square the circle Archimedes gives the following construction.

  5. Archimedes English version PDF (486k)

    https://mathshistory.st-andrews.ac.uk/Strick/archimedes.pdf

    3 Mar 2021: Heinz Klaus Strick Leverkusen, p. 1 / 5. ARCHIMEDES OF SYRACUSE (287-212 BC). ... ARCHIMEDES gives the value A34 where A is the area of the triangle P1P2P3.

  6. All Glossary Items - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Glossary/

    6 Jul 2023: Archimedes' screw consists of a pipe in the shape of a helix with its lower end dipped in the water. ... A dynamical system gives a means of describing how one state of a system evolves into another.

  7. Dijksterhuis books - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Extras/Dijksterhuis_books/

    12 Jul 2023: After giving a preliminary list of works to be cited in this volume on Archimedes, the author gives briefly an account of the life and the works of Archimedes, with sufficient ... He gives the propositions in full literary form, but in the proofs, while

  8. Mathematical games - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/HistTopics/Mathematical_games/

    10 Jul 2023: Perhaps the most famous are from Archimedes in his book The Sandreckoner where he gives the Cattle Problem. ... In fact Lucas (the inventor of the Towers of Hanoi) gives a pretty solution to Cardan's Ring Puzzle using binary arithmetic.

  9. Stefanie Ursula Eminger PhD thesis PDF (4136k)

    https://mathshistory.st-andrews.ac.uk/Publications/Eminger.pdf

    1 Sep 2015: 6. Rudio as a Historian of Mathematics 193 6.1 Archimedes, Huygens, Lambert, Legendre 193. ... Furthermore, I compare Archimedes, Huygens, Lambert, Legendre to Ernest William Hobson’s Squaring the Circle.

  10. D'Arcy Thompson on Greek irrationals - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Extras/Thompson_irrationals/

    12 Jul 2023: This statement is quite correct; for the former fraction squared gives the value 3.000017. ... the latter gives 2.999936. It is strange, however, that Archimedes should apparently skip over two convergents in making his comparison; he might have narrowed