Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xii
... tion - Magnitude - Accelerative Effect - Measure of Force Standards of Weight are Masses , and not primarily intended for Measurement of Force - Clairaut's Formula for the Amount of Gravity - Gauss's absolute Unit of Force- Maxwell's ...
... tion - Magnitude - Accelerative Effect - Measure of Force Standards of Weight are Masses , and not primarily intended for Measurement of Force - Clairaut's Formula for the Amount of Gravity - Gauss's absolute Unit of Force- Maxwell's ...
Page xv
... tion of its Equations - Determinant of Gyrostatic Conser- vative System - Square Roots of Skew Symmetric De- terminants - Gyrostatic System with Two Freedoms - Gy- rostatic Influence dominant - Gyrostatic Stability -- Ordi- nary ...
... tion of its Equations - Determinant of Gyrostatic Conser- vative System - Square Roots of Skew Symmetric De- terminants - Gyrostatic System with Two Freedoms - Gy- rostatic Influence dominant - Gyrostatic Stability -- Ordi- nary ...
Page 7
... tion in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , an extension of the ...
... tion in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , an extension of the ...
Page 15
... tion of 27. The velocity resolved in any direction is the sum of the composi components ( in that direction ) of the three rectangular com- velocities . ponents of the whole velocity . And , if we consider motion in one plane , this is ...
... tion of 27. The velocity resolved in any direction is the sum of the composi components ( in that direction ) of the three rectangular com- velocities . ponents of the whole velocity . And , if we consider motion in one plane , this is ...
Page 16
... tion . dy dt dx do cos - sin 0 , or r dt dt 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understand ...
... tion . dy dt dx do cos - sin 0 , or r dt dt 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understand ...
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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.