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A paper of Legendre revisited

1997/01/01 by Marino Belloni, Bernd Kawohl · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #History and Theory of Mathematics

paper · doi:10.1515/form.1997.9.655

openalex publication_date 1997/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

In [L] Legendre discusses the set of admissible functions for Newton's variational problem of minimal resistance. He proposes a particular side constraint to ensure existence of a solution. In the present note we give a rigorous proof of his result and discuss some related problems. (orig.)

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