## Elements of Natural Philosophy, Volume 1 |

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Page 1

The circumstances of mere motion , considered without

moved , or to the forces producing the motion , or to the forces called into action

by the motion , constitute the subject of a branch of Pure Mathematics , which is ...

The circumstances of mere motion , considered without

**reference**to the bodiesmoved , or to the forces producing the motion , or to the forces called into action

by the motion , constitute the subject of a branch of Pure Mathematics , which is ...

Page 5

The original curve , considered with

21. It will be observed that we speak of an involute , and of the evolute , of a curve

. In fact , as will be easily seen , a curve can have but one evolute , but it has ...

The original curve , considered with

**reference**to the other , is called the Evolute .21. It will be observed that we speak of an involute , and of the evolute , of a curve

. In fact , as will be easily seen , a curve can have but one evolute , but it has ...

Page 14

It consists in drawing a curve , which may be called the tidal hodograph with

throughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII .

are ...

It consists in drawing a curve , which may be called the tidal hodograph with

**reference**to any point of a chart for which the tidal currents are to be specifiedthroughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII .

are ...

Page 16

... dividing the velocity perpendicular to the radius - vector by the length of the

radius - vector . 57. When the angular velocity is variable its rate of increase or

diminution is called the Angular Acceleration , and is measured with

the ...

... dividing the velocity perpendicular to the radius - vector by the length of the

radius - vector . 57. When the angular velocity is variable its rate of increase or

diminution is called the Angular Acceleration , and is measured with

**reference**tothe ...

Page 19

As an additional illustration of this part of our subject , we may define as follows :

If one point A executes any motion whatever with

if B executes any other motion with

As an additional illustration of this part of our subject , we may define as follows :

If one point A executes any motion whatever with

**reference**to a second point B ;if B executes any other motion with

**reference**to a third point C ; and so on - 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