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 11
... position ; the determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
... position ; the determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
Page 12
... position of the point at time t ; draw QP parallel to BA , meeting AP in P : then C P AP = Vt , PQ - hat ' . Hence AP = - 212 PQ . a This is a property of a parabola , of which the axis is parallel to AB ; AB being a diameter , and AP a ...
... position of the point at time t ; draw QP parallel to BA , meeting AP in P : then C P AP = Vt , PQ - hat ' . Hence AP = - 212 PQ . a This is a property of a parabola , of which the axis is parallel to AB ; AB being a diameter , and AP a ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire