Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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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 altered angular velocity anticlastic application B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dy dy dy dz ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values whole x₁ y₁ αξ λ² аф