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CONTENTS.

PAGES

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Definitions of Mass, Density, Particle, Force, Momentum,

Vis Viva, Kinetic Energy, Measure of Force, Compo.

nent of Force, &c. &c. SS 39–52.

Definition, and Properties, of Center of Inertia, & 53.

Definition of Moment of Momentum, $ 54.

Definition of Work done by a force, and consequences of the

definition, SS 55, 56.

Definition of Potential Energy, S 57.

Newton's Laws of Motion, with their consequences—as

Measure of Time, Parallelogram of Forces, Conservation

of Momentum and of Moment of Momentum, &c.

$$ 58–67.

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.

Rectilinear Motion with various applied forces and various

laws of resistance—Terminal Velocity, &c. SS 215—218.

Curvilinear Motion, under various laws of resistance and

various forces. Approximate determination of path of

projectile with low trajectory, SS 219-223.

Inverse Problems, SS 224–228.

Equation to Central Orbit in resisting medium, $ 229.

EXAMPLES

245–251

CHAPTER IX. GENERAL THEOREMS

252-284

Constraint perpendicular to direction of motion, SS 230—232.

All central forces have a potential, § 233.

Conservation of Energy, and Equipotential Surfaces, SS 234,

235.

Inverse Problem as to conservative forces, $ 236.

Deductions from Conservation of Energy, SS 237-240.

Least, or Stationary, Action, SS 245—248.

Varying Action, SS 249–258.

PAGES

346349
349, 350

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any force whose direction is constant.

D. Of two curves, convex upwards, joining two points in

a vertical plane, the inner is described in less time

than the outer.

E. Inverse problem-To find the equation to the con-

straining curve when the time of descent, to the
lowest point, through any arc, is given as a func-
tion of the vertical height fallen through.

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