## 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

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

. 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 '

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**ofcontinuity . 163. Two ways of proceeding to express this idea present themselves

...

Page 53

If the density be not uniform , the

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

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 , intreatises 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