Abstract
Throughout the era that we are studying, Johann Bernoulli held presence as the great teacher and as a central figure in the scientific community. (His correspondence includes more than 2000 letters exchanged with more than 100 scholars1). Thus, if we look for a contemporary but comprehending reaction to the work of Euler and Daniel Bernoulli on vibrating systems, we could not be more fortunate than to have Johann Bernoulli’s own reaction. This he provides. Indeed, his collected works, published in 1742, contain a volume of previously unpublished notes which include a study of vibrating systems.2 It seems that he made this study around the year 1740.3One can presume that he had heard of Euler’s and Daniel Bernoulli’s results from before; but he probably first read their great works on the hanging chain at this time.4 The vibrating systems in question include a number with a single degree of freedom that we will mention briefly, as well as the dangling rod which we will discuss in section 15.2 and the linked pendulum with two treatments which we will discuss in section 15.3 and section 15.4 respectively. His two treatments of the linked pendulum could represent his ideas on the subject from before and after his reading of Euler’s and Daniel Bernoulli’s works.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Cannon, J.T., Dostrovsky, S. (1981). Johann Bernoulli (1742). In: The Evolution of Dynamics: Vibration Theory from 1687 to 1742. Studies in the History of Mathematics and Physical Sciences, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9461-7_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-9461-7_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-9463-1
Online ISBN: 978-1-4613-9461-7
eBook Packages: Springer Book Archive