## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 8

... may of course be either uniform or variable . It is said to be uniform when the

point receives equal increments of velocity in equal times , and is then measured

by the actual

... may of course be either uniform or variable . It is said to be uniform when the

point receives equal increments of velocity in equal times , and is then measured

by the actual

**increase**of velocity per 8 PRELIMINARY . Page 9

is then measured by the actual

as the unit of acceleration that which adds a unit of velocity per unit of time to the

velocity of a point , an acceleration measured by a will add a units of velocity in ...

is then measured by the actual

**increase**of velocity per unit of time . If we chooseas the unit of acceleration that which adds a unit of velocity per unit of time to the

velocity of a point , an acceleration measured by a will add a units of velocity in ...

Page 16

We may also speak of the angular velocity of a moving plane with respect to a

fixed one , as the rate of

their line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

We may also speak of the angular velocity of a moving plane with respect to a

fixed one , as the rate of

**increase**of the angle contained by them ; but unlesstheir line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

Page 49

... as we may call it , expresses that the rate of diminution of the density bears to

the density , at any instant , the same ratio as the rate of

an infinitely small portion bears to the volume of this portion at the same instant .

... as we may call it , expresses that the rate of diminution of the density bears to

the density , at any instant , the same ratio as the rate of

**increase**of the volume ofan infinitely small portion bears to the volume of this portion at the same instant .

Page 59

As the distance of this point from any plane is the mean of the distances of the

given ones , the rate of

the plane , must be the mean of the rates of

As the distance of this point from any plane is the mean of the distances of the

given ones , the rate of

**increase**of that distance , i.e. the velocity perpendicular tothe plane , must be the mean of the rates of

**increase**of their distances - i.e . the ...### What people are saying - Write a review

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### 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 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