Alassi, Sepideh (Author)
Jacob Bernoulli's entries about mechanics in his scientific notebook, the ‘Meditationes’, reveal new facts about the history of the catenary curve. Bernoulli's analyses show that the catenaria, velaria, lintearia and elastica curves together form a family of curves, which I will refer to as the funicularia family. Attending to the history of the whole family of these curves provides remarkable insights into the origin of the catenary problem and the process of its discovery. Studying the ‘Meditationes’ together with Bernoulli's correspondence and publications shows how analysis of one curve led him to the discovery of the others. As a result, this study shows that – although Leonhard Euler is known to be the one who unified the catenary problem and the elastica problem in 1728 – Jacob Bernoulli had in fact proven the same more than thirty years earlier, providing in his notebook a general differential equation for this family of curves. Furthermore, I demonstrate Jacob Bernoulli's priority over his brother Johann in finding the velaria curve.
...More
Article
Staffan Rodhe;
(2017)
A Forgotten Booklet by Goldbach now Rediscovered and Three Versions of its Contents
(/isis/citation/CBB218987071/)
Article
Miroslav Hanke;
(2019)
The Probabilistic Logic of Eusebius Amort (1692-1775)
(/isis/citation/CBB096664729/)
Essay Review
Christopher J. Phillips;
(2020)
Who Wants to Be a Mathematician?
(/isis/citation/CBB944497847/)
Book
Julian Havil;
(2019)
Curves for the Mathematically Curious: An Anthology of the Unpredictable, Historical, Beautiful, and Romantic
(/isis/citation/CBB914665582/)
Article
González Redondo, Francisco A.;
(2003)
La contribución de Leonard Euler a la matematización de las magnitudes y las leyes de la mecánica, 1736--1765
(/isis/citation/CBB000530003/)
Article
Raffaele Pisano;
Danilo Capecchi;
(2013)
Conceptual and Mathematical Structures of Mechanical Science in the Western Civilization around the 18th century
(/isis/citation/CBB235135400/)
Article
Bruce Pourciau;
(2020)
The Principia’s second law (as Newton understood it) from Galileo to Laplace
(/isis/citation/CBB715090012/)
Article
Fonteneau, Yannick;
(2008)
D'Alembert et Daniel Bernoulli face au concept de travail mécanique
(/isis/citation/CBB000933176/)
Article
Borgato, Maria Teresa;
(2008)
Della caduta dei corpi lanciati in alto: Canterzani, Sebastiano
(/isis/citation/CBB000933191/)
Article
Ariga, Nobumichi;
(2006)
Euler's Variational Mechanics
(/isis/citation/CBB000774076/)
Book
Isaac Newton;
Amrie Boas Hall;
Alfred Rupert Hall;
(1962)
Unpublished Scientific Papers of Isaac Newton: A Selection from the Portsmouth Collection in the University Library, Cambridge.
(/isis/citation/CBB695803286/)
Article
Pulte, Helmut;
(2012)
Rational Mechanics in the Eighteenth Century. On Structural Developments of a Mathematical Science
(/isis/citation/CBB001211069/)
Chapter
Stefano Caroti;
(2015)
La vitesse chez Burley
(/isis/citation/CBB455132976/)
Article
Christoph Lehner;
Helge Wendt;
(2017)
Mechanics in the Querelle des Anciens et des Modernes
(/isis/citation/CBB163519074/)
Article
Raffaele Pisano;
(2017)
A Development of the Principle of Virtual Laws and its Conceptual Framework in Mechanics as Fundamental Relationship between Physics and Mathematics
(/isis/citation/CBB843487129/)
Article
Edward J. Gillin;
(2020)
Mechanics and mathematicians: George Biddell Airy and the social tensions in constructing time at Parliament, 1845–1860
(/isis/citation/CBB360564650/)
Book
Antonino Drago;
(2017)
Dalla storia della fisica alla scoperta dei fondamenti della scienza
(/isis/citation/CBB248791186/)
Chapter
Giuseppina Ferriello;
(2015)
La diffusione della meccanica di Erone in ambito iranico
(/isis/citation/CBB462889172/)
Chapter
Martin Frank;
Pier Daniele Napolitani;
(2015)
Il giovane Galileo e Guidobaldo dal Monte: discepolo e maestro?
(/isis/citation/CBB445374323/)
Chapter
Ken'ichi Takahashi;
(2015)
On the Need to Rewrite the Formation Process of Galileo's Theory of Motion
(/isis/citation/CBB656990481/)
Be the first to comment!