Cortizo, S. F. Classical mechanics - on the deduction of Lagrange’s equations. (English) Zbl 0744.70024 Rep. Math. Phys. 29, No. 1, 45-54 (1991). Summary: Deduction of Lagrange’s equations from Newton’s laws is presented. Our aim is to follow J. L. Lagrange’s original deduction (which uses d’Alembert’s principle) employing an updated mathematical formalism. MSC: 70H03 Lagrange’s equations 70F99 Dynamics of a system of particles, including celestial mechanics Keywords:Newton’s laws; d’Alembert’s principle PDF BibTeX XML Cite \textit{S. F. Cortizo}, Rep. Math. Phys. 29, No. 1, 45--54 (1991; Zbl 0744.70024) Full Text: DOI References: [1] Lagrange, J. L., Mécanique Analytique (1988), Paris [2] Whittaker, E. T., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (1944), Dover: Dover New York · Zbl 0061.41806 [3] Abraham, R.; Marsden, J. E., Foundations of Mechanics (1982), Benjamin-Cummings: Benjamin-Cummings Reading, Massachusetts [4] Whittaker, E. T., (A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (1944), Dover: Dover New York), 39, Section 28 · Zbl 0061.41806 [5] Whittaker, E. T., (A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (1944), Dover: Dover New York), 38, Section 27 · Zbl 0061.41806 [6] Abraham, R.; Marsden, J. E., (Foundations of Mechanics (1982), Benjamin-Cummings: Benjamin-Cummings Reading, Massachusetts), 226, Proposition 3.7.4 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.