An Integrated Approach of The Brachistochrone And Tautocrone Curve

Dhruv Sharma

doi:https://doi.org/10.14445/22315373/IJMTT-V66I12P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 12 | Year 2020 | Article Id. IJMTT-V66I12P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I12P503

An Integrated Approach of The Brachistochrone And Tautocrone Curve

Dhruv Sharma

Citation :

Dhruv Sharma, "An Integrated Approach of The Brachistochrone And Tautocrone Curve," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 12, pp. 17-22, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I12P503

Abstract

The Brachistochrone and Tautocrone problem is not new but it was one of the fundamental problems given to the best mathematical minds in the world like Bernoulli brothers, L-hopital, Newton and Gottfried Leibnitz. As an enlightening fact the problem was both given and cracked by Johann Bernoulli. This was not just the foremost mathematical problem in the world but also the instigator of the branch of mathematics called as “Calculus of variation” and also proved many physical prodigies so, in essence this problem marked a breakthrough in the world of science. I have developed an approach based on the parity of both the Brachistochrone and Tautocrone curve that syndicates both of them which can further lead to mathematical progressions or can make new progresses in the field of physics.

Keywords

Brachistochrone Cycloid, Descend, Gravity, Shortest path, Tautochrone

References

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