Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xi
... constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain - Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume -Axes of a Strain - Elongation and Change of ...
... constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain - Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume -Axes of a Strain - Elongation and Change of ...
Page 9
... constant , however the line be bent . 15. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ex- tremely simple ; although curious , and not always very easy , geometrical ...
... constant , however the line be bent . 15. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ex- tremely simple ; although curious , and not always very easy , geometrical ...
Page 18
... constant or not , whose direction is continually perpendicular to the direction of motion , the velocity will not be altered - and the only effect of the acceleration will be to make the point move in a curve whose curvature is ...
... constant or not , whose direction is continually perpendicular to the direction of motion , the velocity will not be altered - and the only effect of the acceleration will be to make the point move in a curve whose curvature is ...
Page 20
... constants introduced by integration are deter- mined at once if we know the co - ordinates , and the components of the ... constant value . See § 31 . accelera- b . With uniform acceleration in the direction of 20 [ 33 . PRELIMINARY .
... constants introduced by integration are deter- mined at once if we know the co - ordinates , and the components of the ... constant value . See § 31 . accelera- b . With uniform acceleration in the direction of 20 [ 33 . PRELIMINARY .
Page 21
... constant direc- tion , the path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile moving in vacuum . For if the axis of y be parallel to the acceleration a , and if the plane of xy be ...
... constant direc- tion , the path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile moving in vacuum . For if the axis of y be parallel to the acceleration a , and if the plane of xy be ...
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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.