Mécanique analytique

Lagrange, J. (1788). Mécanique analytique.

Type

Book

Intellectual base

Review or monograph

Year

1788

Link

https://archive.org/details/mcaniqueanalyti00lagr

Cited from

physics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Conservation Laws
  • Lagrange's generalized coordinates

    This sourceRecasts mechanics in terms of generalized coordinates and a variational principle; cyclic (ignorable) coordinates yield conserved generalized momenta, supporting the claim that symmetries encode directly into the equations of motion via cyclic-coordinate conservation laws.

• Degrees of Freedom
  • The construct originates in Lagrange's generalized-coordinate framework

    This sourceDevelops the principle that for a system with k holonomic constraints and 3N particle coordinates, the number of independent generalized coordinates equals 3N − k; these q_i become the natural degrees of freedom for Lagrangian mechanics.

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://archive.org/details/mcaniqueanalyti00lagrgoog ×1

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