Elements of Natural Philosophy, Part 1 |
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Page 6
... quantity - what in the differential cal- culus is called an independent variable . Its physical definition is given in the next chapter . 24. Thus a point , which moves uniformly with velocity v , describes a space of v feet each second ...
... quantity - what in the differential cal- culus is called an independent variable . Its physical definition is given in the next chapter . 24. Thus a point , which moves uniformly with velocity v , describes a space of v feet each second ...
Page 8
... quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of direction as well as change of speed . Acceleration of velocity may of course be either uniform or variable . It is said to be ...
... quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of direction as well as change of speed . Acceleration of velocity may of course be either uniform or variable . It is said to be ...
Page 14
... quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines be drawn at every instant representing in magnitude and direction the velocity of a point ...
... quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines be drawn at every instant representing in magnitude and direction the velocity of a point ...
Page 16
... quantity which is T ' then called the mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may ...
... quantity which is T ' then called the mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may ...
Page 49
... quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the whole quantity that has left it . This idea , when ...
... quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the whole quantity that has left it . This idea , when ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipsoid elongation equal equations equilibrium external finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire
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Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.