Elements of Natural Philosophy |
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Page 51
... and consider the fluid which flows into this space , and the fluid which flows out
of it , across different parts of its bounding surface , in any time . If the fuid is of the
same density and incompressible , the whole quantity of matter in the space in ...
... and consider the fluid which flows into this space , and the fluid which flows out
of it , across different parts of its bounding surface , in any time . If the fuid is of the
same density and incompressible , the whole quantity of matter in the space in ...
Page 52
If the point be constrained to remain always on a given surface , one degree of
constraint is introduced , or there are left but two degrees of freedom . For we may
take the normal to the surface as one of three rectangular directions of resolution
...
If the point be constrained to remain always on a given surface , one degree of
constraint is introduced , or there are left but two degrees of freedom . For we may
take the normal to the surface as one of three rectangular directions of resolution
...
Page 53
properly chosen on the barrel and stock of a rifle be made to rest on six convex
portions of the surface of a fixed rigid body , the rifle may be replaced any number
of times in precisely the same position , for the purpose of testing its accuracy .
properly chosen on the barrel and stock of a rifle be made to rest on six convex
portions of the surface of a fixed rigid body , the rifle may be replaced any number
of times in precisely the same position , for the purpose of testing its accuracy .
Page 56
In the preceding chapter we considered as a subject of pure geometry the motion
of points , lines , surfaces , and volumes , whether taking place with or without
change of dimensions and form ; and the results we there arrived at are of course
...
In the preceding chapter we considered as a subject of pure geometry the motion
of points , lines , surfaces , and volumes , whether taking place with or without
change of dimensions and form ; and the results we there arrived at are of course
...
Page 59
In reality , however , the place of application of a force is always either a surface
or a space of three dimensions occupied by matter . The point of the finest needle
, or the edge of the sharpest : knife , is still a surface , and acts as such on the ...
In reality , however , the place of application of a force is always either a surface
or a space of three dimensions occupied by matter . The point of the finest needle
, or the edge of the sharpest : knife , is still a surface , and acts as such on the ...
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire