Elements of Natural Philosophy, Volume 1 |
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Page 2
... position to another it must evidently describe a continuous line , which may be curved or straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material ...
... position to another it must evidently describe a continuous line , which may be curved or straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material ...
Page 3
... positions of it contain the second side of the polygon above men- tioned , it is evident that the osculating plane passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a ...
... positions of it contain the second side of the polygon above men- tioned , it is evident that the osculating plane passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a ...
Page 6
... position , is called its Velocity . It is greater or less as the space passed over in a given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the ...
... position , is called its Velocity . It is greater or less as the space passed over in a given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the ...
Page 10
... the whole velocity and its direction , or simply the components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any position ; the determination of ΤΟ PRELIMINARY .
... the whole velocity and its direction , or simply the components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any position ; the determination of ΤΟ PRELIMINARY .
Page 11
... position of the point , at any one instant be given . But these are in general questions requiring for their solution a knowledge of the integral calculus . 41. From the principles already laid down , a great many interest- ing results ...
... position of the point , at any one instant be given . But these are in general questions requiring for their solution a knowledge of the integral calculus . 41. From the principles already laid down , a great many interest- ing results ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre 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 ellipse ellipsoid elongation equal equations equilibrium external point 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 P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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