Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)
Leonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”. It stems from the recognition that infinitesimal motions are uni...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
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| Series: | Revista Brasileira de Ensino de Física |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172017000400701&lng=en&tlng=en |
| _version_ | 1818329818970718208 |
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| author | Penha Maria Cardozo Dias |
| author_facet | Penha Maria Cardozo Dias |
| author_sort | Penha Maria Cardozo Dias |
| collection | DOAJ |
| description | Leonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”. It stems from the recognition that infinitesimal motions are uniformly accelerated. Then, using Galileo Galilei's theorem on the fall, mathematical relations among differentials acquire physical meaning, and become the “principle of mechanics”. |
| first_indexed | 2024-12-13T12:54:07Z |
| format | Article |
| id | doaj.art-5c7511a5bc394fde9dad7d089d86dbe7 |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-13T12:54:07Z |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-5c7511a5bc394fde9dad7d089d86dbe72022-12-21T23:45:14ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-912639410.1590/1806-9126-rbef-2017-0057S1806-11172017000400701Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)Penha Maria Cardozo DiasLeonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”. It stems from the recognition that infinitesimal motions are uniformly accelerated. Then, using Galileo Galilei's theorem on the fall, mathematical relations among differentials acquire physical meaning, and become the “principle of mechanics”.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172017000400701&lng=en&tlng=enphysical meaning of the lagrangiandifferential equations of motionLeonhard Euler |
| spellingShingle | Penha Maria Cardozo Dias Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) Revista Brasileira de Ensino de Física physical meaning of the lagrangian differential equations of motion Leonhard Euler |
| title | Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) |
| title_full | Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) |
| title_fullStr | Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) |
| title_full_unstemmed | Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) |
| title_short | Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion) |
| title_sort | leonhard euler s principle of mechanics an essay on the foundations of the equations of motion |
| topic | physical meaning of the lagrangian differential equations of motion Leonhard Euler |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172017000400701&lng=en&tlng=en |
| work_keys_str_mv | AT penhamariacardozodias leonhardeulersprincipleofmechanicsanessayonthefoundationsoftheequationsofmotion |