Science of Mechanics: A Critical and Historical Account of Its Development

An Unabridged Printing Of The Fourth Edition To Include All Illustrations: Chapter 1: THE DEVELOPMENT OF THE PRINCIPLES OF STATICS - The Principle Of The Lever - The Principle Of The Inclined Plane - The Principle Of The Composition Of Forces - The Principle Of Virtual Velocities - Retrospect Of The Development Of Statics - The Principles Of Statics In Their Application To Fluids - The Principle Of Statics In Their Application To Gaseous Bodies - Chapter 2: THE DEVELOPMENT OF THE PRINCIPLES OF DYNAMICS - Galileo's Achievements - The Achievements Of Huygens - The Achievements Of Newton - Discussion And Illustration Of The Principle Of Reaction - Criticism Of The Principle Of Reaction And Of The Concept Of Mass - Newton's Views Of Time, Space, And Motion - Synoptical Critique Of The Newtonian Enunciations - Retrospect Of The Development Of Dynamics - Chapter 3: THE EXTENDED APPLICATION OF THE PRINCIPLES OF MECHANICS AND THE DEDUCTIVE DEVELOPMENT OF THE SCIENCE - Scope Of The Newtonian Principles - The Formulae And Units Of Mechanics - The Laws Of The Conservation Of Momentum, Of The Conservation Of The Center Of Gravity, And Of The Conservation Of Areas - The Laws Of Impact - D'Alembert's Principle - The Principle Of Vis Viva - The Principle Of Least Constraint - The Principle Of Least Action - Hamilton's Principle - Some Applications Of The Principles Of Mechanics To Hydrostatic And Hydrodynamic Questions - Chapter 4: THE FORMAL DEVELOPMENT OF MECHANICS - The Isoperimetrical problems - theological, animistic, and mystical points of view in mechanics - analytical mechanics - the economy of science - Chapter 5: THE RELATION OF MECHANICS TO OTHER DEPARTMENTS OF KNOWLEDGE - The Relations Of Mechanics To Physics - The Relations Of Mechanics To Physiology - Appendix - Chronological Table Of A Few Eminent Inquirers And Of Their More Important Mechanical Works - Comprehensive Index