Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page vii
... tion and Experiment as the basis of Natural Philosophy . The fourth chapter deals with the fundamental Units , and the chief Instruments used for the measurement of Time , Space , and Force . Thus closes the First Division of the work ...
... tion and Experiment as the basis of Natural Philosophy . The fourth chapter deals with the fundamental Units , and the chief Instruments used for the measurement of Time , Space , and Force . Thus closes the First Division of the work ...
Page xiv
... tion " of Motion in Cartesian Co - ordinates - Hamilton's Characteristic Equation of Motion in Generalized Co - or- dinates - Proof that the Characteristic Equation defines the Motion , for free particles - Same Proposition for a ...
... tion " of Motion in Cartesian Co - ordinates - Hamilton's Characteristic Equation of Motion in Generalized Co - or- dinates - Proof that the Characteristic Equation defines the Motion , for free particles - Same Proposition for a ...
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 13
... tion , we may have given the whole velocity and the steepness of the incline , or we may express the same ideas thus -- the train is moving simultaneously northward , eastward , and upward- and the motion as to amount and direction will ...
... tion , we may have given the whole velocity and the steepness of the incline , or we may express the same ideas thus -- the train is moving simultaneously northward , eastward , and upward- and the motion as to amount and direction will ...
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 ...
Contents
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative 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 simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
Popular passages
Page 510 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L. BENSLY, MA, Sub-Librarian of the University Library, and Reader in Hebrew, Gonville and Caius College, Cambridge.
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