Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page v
... led to the consideration of the curvature and tortuosity of curves , the curvature of surfaces , distortions or strains , and various other purely geometrical subjects . The Laws of Motion , the Law of Gravitation and b2.
... led to the consideration of the curvature and tortuosity of curves , the curvature of surfaces , distortions or strains , and various other purely geometrical subjects . The Laws of Motion , the Law of Gravitation and b2.
Page vi
... geometrical science of motion in the abstract . Keeping in view the proprieties of language , and following the example of the most logical writers , we employ the term Dynamics in its true sense as the science which treats of the ...
... geometrical science of motion in the abstract . Keeping in view the proprieties of language , and following the example of the most logical writers , we employ the term Dynamics in its true sense as the science which treats of the ...
Page xi
... Geometrical Slide - Examples of Geo- metrical Slide - Examples of Geometrical Clamps and Slides - One Degree of Constraint of the most general character - Mechanical Illustration - One Degree of Con- straint expressed analytically ...
... Geometrical Slide - Examples of Geo- metrical Slide - Examples of Geometrical Clamps and Slides - One Degree of Constraint of the most general character - Mechanical Illustration - One Degree of Con- straint expressed analytically ...
Page xii
... Geometrical Theorem preliminary to Definition of Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple ...
... Geometrical Theorem preliminary to Definition of Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple ...
Page 1
... geometrical matter connected with the curvature of lines and surfaces . point . 3. When a point moyes from one position to another it must Motion of a evidently describe a continuous line , which may be curved or straight , or even made ...
... geometrical matter connected with the curvature of lines and surfaces . point . 3. When a point moyes from one position to another it must Motion of a evidently describe a continuous line , which may be curved or straight , or even made ...
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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.