Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Surface ; three degrees of freedom - Trace prescribed and no Spinning permitted ; two degrees of freedom - Angular ... Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a ...
... Surface ; three degrees of freedom - Trace prescribed and no Spinning permitted ; two degrees of freedom - Angular ... Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a ...
Page xi
... Surface - Surface of constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain - Definition of ... Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
... Surface - Surface of constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain - Definition of ... Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
Page 8
... spherical curve which we have just used for defining integral curvature . We ... spherical curve , turning always round an instantaneous axis ... surface , is equal to the tortuosity divided by the curvature of the given ...
... spherical curve which we have just used for defining integral curvature . We ... spherical curve , turning always round an instantaneous axis ... surface , is equal to the tortuosity divided by the curvature of the given ...
Page 28
... spherical surface , diminishes with increasing distance according to the same law as gravitation . Hence the amount of heat and light , which a planet receives from the sun during any interval , is proportional to the time integral of ...
... spherical surface , diminishes with increasing distance according to the same law as gravitation . Hence the amount of heat and light , which a planet receives from the sun during any interval , is proportional to the time integral of ...
Page 69
... spherical surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 79 may be made , but with great circles instead ...
... spherical surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 79 may be made , but with great circles instead ...
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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.