Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page ix
... of , 58-61 • Harmonic Motions in one Line Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions Fourier's Theorem 62 63-74 • 75-77 Displacements of a Plane Figure in its Plane - Composition.
... of , 58-61 • Harmonic Motions in one Line Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions Fourier's Theorem 62 63-74 • 75-77 Displacements of a Plane Figure in its Plane - Composition.
Page x
... Figure in its Plane - Composition of Rotations about Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the ...
... Figure in its Plane - Composition of Rotations about Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the ...
Page 7
... figure of 8 , is zero . That of the Epicycloid angles ; and so on . is eight right 11. The definition in last section may evidently be extended to a plane polygon , and the integral change of direction , or the angle between the first ...
... figure of 8 , is zero . That of the Epicycloid angles ; and so on . is eight right 11. The definition in last section may evidently be extended to a plane polygon , and the integral change of direction , or the angle between the first ...
Page 15
... figure ; from A draw AC parallel and equal to OB . Join OC : -then OC is the resultant velocity in magnitude and direction . A OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of ...
... figure ; from A draw AC parallel and equal to OB . Join OC : -then OC is the resultant velocity in magnitude and direction . A OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of ...
Page 29
... figures in the text below represent the curves in these cases , the velocities of the pur- suer being , 1 , and of those of the pursued , respectively . In the second and third cases the second point can never over- take the first , and ...
... figures in the text below represent the curves in these cases , the velocities of the pur- suer being , 1 , and of those of the pursued , respectively . In the second and third cases the second point can never over- take the first , and ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.