Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page vii
... Units , and the chief Instruments used for the measurement of Time , Space , and Force . Thus closes the First Division of the work , which is strictly preliminary , and to which we have limited the present issue . This new edition has ...
... Units , and the chief Instruments used for the measurement of Time , Space , and Force . Thus closes the First Division of the work , which is strictly preliminary , and to which we have limited the present issue . This new edition has ...
Page xii
... Unit of Time- Third suggestion for Absolute Unit of Time - British Absolute Unit - Comparison with Gravity • 221-226 Resolution of Forces - Effective Component of a Force Geometrical Theorem preliminary to Definition of Centre of ...
... Unit of Time- Third suggestion for Absolute Unit of Time - British Absolute Unit - Comparison with Gravity • 221-226 Resolution of Forces - Effective Component of a Force Geometrical Theorem preliminary to Definition of Centre of ...
Page 2
... unit of length of the curve according to the notation below ) , is called the curvature . To exemplify this , suppose two tangents drawn to a circle , and radii to the points of contact . The angle between the tangents is the change of ...
... unit of length of the curve according to the notation below ) , is called the curvature . To exemplify this , suppose two tangents drawn to a circle , and radii to the points of contact . The angle between the tangents is the change of ...
Page 4
... unit length of the curve . To express the radius of curvature , the direction cosines of the osculating plane , and the tortuosity , of a curve not in one plane , in terms of Cartesian triple co - ordinates , let , as before , So be the ...
... unit length of the curve . To express the radius of curvature , the direction cosines of the osculating plane , and the tortuosity , of a curve not in one plane , in terms of Cartesian triple co - ordinates , let , as before , So be the ...
Page 7
... . Suppose this to be cut by a sphere of unit radius having its centre at the fixed point . The length of the curve of intersection measures the integral curvature of the of 9. ] 7 KINEMATICS . Curvature and Tortuosity of a Tortuous Curve.
... . Suppose this to be cut by a sphere of unit radius having its centre at the fixed point . The length of the curve of intersection measures the integral curvature of the of 9. ] 7 KINEMATICS . Curvature and Tortuosity of a Tortuous Curve.
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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.