Construction of the Tangent to a Cycloid Proposed by Wallis and Fermat
DOI:
https://doi.org/10.23756/sp.v4i2.293Keywords:
Cycloid. Tangent to a curve, Kinematical method of tangents, Tangents method by FermatAbstract
In this paper some methods used in the XVII century for the construction of the tangents to a cycloid in a point are exposed: the kinematical method employed by Roberval, the classical geometrical method used by Wallis and the Fermat’s construction as a consequence of his tangents method.
Le Costruzioni della Tangente alla Cicloide Proposte da Wallis e da Fermat
In questo lavoro sono esposti vari metodi in uso nel ‘600 per la costruzione della tangente ad una cicloide in un suo punto: il metodo cinematico impiegato da Roberval, il metodo geometrico classico usato dal Wallis e la costruzione di Fermat come conseguenza del suo metodo delle tangenti.
Parole Chiave: Cicloide, Tangente ad una curva, Metodo cinematico delle tangenti, Metodo delle tangenti di Fermat.
Downloads
References
Serie XI, Vol. 1, N.2 (2009), pag.75-84.
Boyer C. B., Storia della Matematica, ISEDI, 1976.
Fermat P., Methodus ad disquirendam maximam et minimam, VI, Ad eandem Meyhodum, Oeuvres de Fermat, Gauthier Villars, Parigi, 1891-1916
Pascal B., Oeuvres complétes, La Roulette et Traités connexes, Gallimard, Paris, 1980, pag.173-312.
Torricelli E., Opere Scelte, a cura di Lanfranco Belloni, UTET,1975.
Wallis J., Tractatus duo. Prior, De Cycloide et corporibus inde genitis.
Posterior, Epistolaris; in qua agitur, De Cissoide et corporibus inde genitis: Et De Curvarum …., 1659, in Opera Mathematica I, pag. 489-569altra.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Copyright and Licensing Terms
SCIENCE & PHILOSOPHY publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open-access article, as long as the author is properly attributed. Copyright on any research article published by SCIENCE & PHILOSOPHY is retained by the author(s). Authors grant SCIENCE & PHILOSOPHY a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards:
