theorem 27.10 Lagrange–Dirichlet

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:299 · p. 928

Rests on

depends_on equation 27.9 eq:cfs-stationary-potential ¶
depends_on equation 19.21 eq:newt-energy ¶
depends_on theorem 21.43 Conservation of energy ¶
- depends_on equation 21.51 eq:lag-energy-dot-cons ¶
- depends_on equation 21.46 eq:lag-energy-h ¶
- depends_on theorem 19.32 Conservation of energy ¶
  - depends_on definition 19.31 Energy ¶
    - depends_on definition 19.30 Conservative force and potential energy ¶
      - depends_on equation 19.2 eq:newt-second-law ¶
      - depends_on postulate 19.8 Newton's second law ¶
    - depends_on definition 19.29 Kinetic energy ¶
      - depends_on definition 18.10 Velocity ¶
      - depends_on definition 19.3 Mass ¶
  - depends_on equation 19.19 eq:newt-conservative ¶
  - depends_on equation 19.4 eq:newt-fma ¶
  - proves proof ch:02-newtonian-dynamics@proof-9 ¶
- proves proof ch:04-lagrangian-mechanics@proof-11 ¶
proves proof ch:10-central-forces-statics@proof-6 ¶

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Edges

type	direction	node	provenance	where
`depends_on`	→	eq:cfs-stationary-potential	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:304
`depends_on`	→	eq:newt-energy	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:304
`depends_on`	→	Conservation of energy	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:304
`proves`	←	ch:10-central-forces-statics@proof-6	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:308