Search

Filter

Results

11. 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. ... This is accompanied by a biography of Gysel. Chapter 6 contains analyses of some of Rudio’s most important works on the history of mathematics: the book

12. Involute of a Circle - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Curves/Involute/

    7 Mar 2023: He used the involute of a circle in his first pendulum clock in an attempt to force the pendulum to swing in the path of a cycloid. ... The pedal of the involute of a circle, with the centre as pedal point, is a Spiral of Archimedes.

13. Stephano degli Angeli (1623 - 1697) - Biography - MacTutor History…

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

    29 Sep 2023: 1660) which contains a generalisation of Archimedes' spiral, and De infinitorum cochlearum mensuris ac centris gravitatis. ... One has to see both sides in this argument for although Angeli's methods were much more powerful, they were less rigorous than

14. Hyperbolic Spiral - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Curves/Hyperbolic/

    7 Mar 2023: The roulette of the pole of a hyperbolic spiral rolling on a straight line is a tractrix. ... His chief contributions were to mechanics. Taking the pole as the centre of inversion, the hyperbolic spiral r = a/θ inverts to the spiral of Archimedes r = aθ

15. Perigal maths astro - MacTutor History of Mathematics

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

    12 Jul 2023: progress" in spires (coils, or circumvolutions), so that any portion of any such curve is a portion of a spiral. ... Mr Perigal explained that some of these curves were "interminate," or capable of unlimited extension, such as the spiral of Archimedes,

16. Albrecht Dürer (1471 - 1528) - Biography - MacTutor History of…

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

    30 Dec 2023: Dürer travelled first to Nördlingen, where he met artists of the Swabian school. ... The first of the four books describes the construction of a large number of curves, including the Spiral of Archimedes, the Equiangular or Logarithmic Spiral, thethe

17. Equiangular Spiral - MacTutor History of Mathematics

    https://mathshistory.st-andrews.ac.uk/Curves/Equiangular/

    7 Mar 2023: contrasting it with the Spiral of Archimedes which is formed by coiling a cylinder as a sailor coils a rope upon the deck. ... The evolute and the involute of an equiangular spiral is an identical equiangular spiral.

18. Pappus (290 - 350) - Biography - MacTutor History of Mathematics

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

    4 Aug 2023: Book IV contains properties of curves including the spiral of Archimedes and the quadratrix of Hippias and includes his trisection methods. ... as Archimedes showed, and as is proved by us in the commentary on the first book of the ["Almagest"] by a