Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page 44
... which the simple harmonic constituents of the tide have been determined by the " harmonic analysis " applied to representa- previous observations * . We may exhibit , graphically 44 [ 60 . PRELIMINARY . Harmonic Motion 52-57.
... which the simple harmonic constituents of the tide have been determined by the " harmonic analysis " applied to representa- previous observations * . We may exhibit , graphically 44 [ 60 . PRELIMINARY . Harmonic Motion 52-57.
Page 48
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 65 ) ...
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 65 ) ...
Page 72
... determined will be the sides and diagonal of a parallelogram . 96. Hence the single angular velocity equivalent to three co - existent angular velocities about three mutually perpen- dicular axes , is determined in magnitude , and the ...
... determined will be the sides and diagonal of a parallelogram . 96. Hence the single angular velocity equivalent to three co - existent angular velocities about three mutually perpen- dicular axes , is determined in magnitude , and the ...
Page 74
... determined by the preceding equations . 97. We give next a few useful theorems relating to the cessive finite composition of successive finite rotations . rotations . If a pyramid or cone of any form roll on a heterochirally similar ...
... determined by the preceding equations . 97. We give next a few useful theorems relating to the cessive finite composition of successive finite rotations . rotations . If a pyramid or cone of any form roll on a heterochirally similar ...
Page 84
... determined . " I am not aware * of any calculations having been made to prove its non - existence , although , on dynamical grounds , we have every reason to look for some very small variation having the periodic time of 325-6 days ...
... determined . " I am not aware * of any calculations having been made to prove its non - existence , although , on dynamical grounds , we have every reason to look for some very small variation having the periodic time of 325-6 days ...
Contents
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
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.