Evolutes Authors Abstract In this paper we summarize the results on the cycloid appearing in Huygens' famous work Horologium oscillatorium. In particular, we look at how he constructed a tangent at an arbitrary point on this curve and how, using the evolute of a curve (envelope of normals), he could calculate its length. In this way, geometricallymanipulating second derivatives (before the differential calculus of Newton and Leibniz), he obtained the curvature radius at every point of the cycloid and of other curves, such as the parabola. Downloads Download data is not yet available. Downloads Text complet (Català) Published 2019-05-07 Issue No. 43: desembre 2018 Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal NouBiaix, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to NouBiaix.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.NouBiaix is not responsible for the ideas and opinions expressed by the authors of the published articles.
