## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 50

Page 1

Dynamics , therefore , is

Statics and KINETICS . 8 . In Statics the action of force in maintaining rest , or

preventing change of motion , the balancing of forces , ' or Equilibrium , is

investigated ...

Dynamics , therefore , is

**divided**into two parts , which are conveniently calledStatics and KINETICS . 8 . In Statics the action of force in maintaining rest , or

preventing change of motion , the balancing of forces , ' or Equilibrium , is

investigated ...

Page 3

The average curvature of any portion is its whole curvature

Suppose a line , drawn through any fixed point , to turn so as always to be

parallel to the direction of motion of a point describing the curve : the angle

through ...

The average curvature of any portion is its whole curvature

**divided**by its length .Suppose a line , drawn through any fixed point , to turn so as always to be

parallel to the direction of motion of a point describing the curve : the angle

through ...

Page 6

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

**divided**by the time ; and , the less the ... Page 9

The average accelera . tion during any time is the whole velocity gained during

that time ,

acceleration in the direction of motion ; and , if v = $ as in § 28 , we have 2 - j = s .

34 .

The average accelera . tion during any time is the whole velocity gained during

that time ,

**divided**by the time . In Newton ' s notation i . is used to express theacceleration in the direction of motion ; and , if v = $ as in § 28 , we have 2 - j = s .

34 .

Page 10

... acceleration towards the centre of curvature , equal in amount to the square of

the velocity

every case , be the resultant of the acceleration thus measuring change of

direction ...

... acceleration towards the centre of curvature , equal in amount to the square of

the velocity

**divided**by the radius of curvature . The whole acceleration will , inevery case , be the resultant of the acceleration thus measuring change of

direction ...

### 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