Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Spherical Excess Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a Surface - Change of direction in a Sur- face of any arc traced on it - Integral Curvature - Curvatura integra - Horograph ...
... Spherical Excess Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a Surface - Change of direction in a Sur- face of any arc traced on it - Integral Curvature - Curvatura integra - Horograph ...
Page xi
... in Generalized Co - ordinates for Poisson's Extension of Laplace's Equation . APPENDIX A. - Extension of Green's Theorem . APPENDIX B. - Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
... in Generalized Co - ordinates for Poisson's Extension of Laplace's Equation . APPENDIX A. - Extension of Green's Theorem . APPENDIX B. - 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 cannot as yet complete the explanation , as it depends on the theory of rolling , which will be treated afterwards ( §§ 110-137 ) . But it is enough at present ...
... spherical curve which we have just used for defining integral curvature . We cannot as yet complete the explanation , as it depends on the theory of rolling , which will be treated afterwards ( §§ 110-137 ) . But it is enough at present ...
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 angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane 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 motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
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.