Elements of Natural Philosophy, Volume 1 |
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Page 7
In fact , if v be the velocity at either beginning or end , or at any instant , of an
interval t , and s the space actually described in that interval ; the equation v = (
which expresses the definition of the average velocity , § 26 ) is more and more
nearly ...
In fact , if v be the velocity at either beginning or end , or at any instant , of an
interval t , and s the space actually described in that interval ; the equation v = (
which expresses the definition of the average velocity , § 26 ) is more and more
nearly ...
Page 12
If there be no initial velocity our equations become vrat , x = Lat " , = jat ?, ? v = ax
. Of course the preceding formulae apply to a constant retardation , as in the case
of a projectile moving vertically upwards , by simply giving a a negative sign .
If there be no initial velocity our equations become vrat , x = Lat " , = jat ?, ? v = ax
. Of course the preceding formulae apply to a constant retardation , as in the case
of a projectile moving vertically upwards , by simply giving a a negative sign .
Page 49
This idea , when expressed in a perfectly comprehensive manner for every
portion of a fluid in motion , constitutes what is commonly called the ' equation of
continuity . 163. Two ways of proceeding to express this idea present themselves
...
This idea , when expressed in a perfectly comprehensive manner for every
portion of a fluid in motion , constitutes what is commonly called the ' equation of
continuity . 163. Two ways of proceeding to express this idea present themselves
...
Page 53
If the density be not uniform , the equation M = Vp gives the Average ( $ 26 )
density ; or , as it is usually called , the Mean density , of the body , It is worthy of
particular notice that , in this definition , Newton says , if there be anything which ...
If the density be not uniform , the equation M = Vp gives the Average ( $ 26 )
density ; or , as it is usually called , the Mean density , of the body , It is worthy of
particular notice that , in this definition , Newton says , if there be anything which ...
Page 70
As it is usual to investigate the general equations or conditions of equilibrium , in
treatises on Analytical Dynamics , before entering in detail on the kinetic branch
of the subject , this principle is found practically most useful in showing how we ...
As it is usual to investigate the general equations or conditions of equilibrium , in
treatises on Analytical Dynamics , before entering in detail on the kinetic branch
of the subject , this principle is found practically most useful in showing how we ...
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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 evidently 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 perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire