Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page v
... called Natural History ; and it might with equal propriety be so called in all others . Our object is twofold : to give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non ...
... called Natural History ; and it might with equal propriety be so called in all others . Our object is twofold : to give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non ...
Page xiv
... called " Station- ary Action " by Hamilton - Varying Action -- Action expressed as a Function of Initial and Final Co - ordinates and the Energy ; its differential Coefficients equal re- spectively to Initial and Final Momentums , and ...
... called " Station- ary Action " by Hamilton - Varying Action -- Action expressed as a Function of Initial and Final Co - ordinates and the Energy ; its differential Coefficients equal re- spectively to Initial and Final Momentums , and ...
Page 2
... 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 direction required , and the rate of change is to be measured by ...
... 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 direction required , and the rate of change is to be measured by ...
Page 3
... called a Tortuous plane curve , and in the same way we speak of a plane polygon or broken line . If various points of the line do not lie in one plane , we have in one case what is called a curve of double Tortuous curve . Curvature and ...
... called a Tortuous plane curve , and in the same way we speak of a plane polygon or broken line . If various points of the line do not lie in one plane , we have in one case what is called a curve of double Tortuous curve . Curvature and ...
Page 4
... called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a polygon whose sides are indefinitely small . Any two ...
... called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a polygon whose sides are indefinitely small . Any two ...
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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.