## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 70

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 ...

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 ...

Page 12

... VI = Qatar If there be no initial velocity qur

ax . Of course the preceding formulae apply to a constant retardation , as in the

case of a projectile moving vertically upwards , by simply giving ů a negative sign

.

... VI = Qatar If there be no initial velocity qur

**equations**become v = at , = fat , fv =ax . Of course the preceding formulae apply to a constant retardation , as in the

case of a projectile moving vertically upwards , by simply giving ů a negative sign

.

Page 51

This idea , when expressed in a perfectly comprehensive manner for every

portion of a fuid 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 fuid in motion , constitutes what is commonly called the

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

themselves ...

Page 57

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 74

... by his name . We have seen , however , that it is very distinctly implied in

Newton ' s own interpretation of his third law of motion . As it is usual to

investigate the general

PRELIMINARY .

... by his name . We have seen , however , that it is very distinctly implied in

Newton ' s own interpretation of his third law of motion . As it is usual to

investigate the general

**equations**or conditions of equilibrium , in treatises 74PRELIMINARY .

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

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