## Elements of Natural Philosophy |

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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 bodies ,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 ...

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

... 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

.

... 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**to the same unit angle.

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 ... Page 20

Epoch in angular measure is the angle described on the circle of

period of time defined as the epoch . [ In the formula , e is the epoch in angular

measure . ] The Period of a simple harmonic motion is the time which elapses ...

Epoch in angular measure is the angle described on the circle of

**reference**in theperiod of time defined as the epoch . [ In the formula , e is the epoch in angular

measure . ] The Period of a simple harmonic motion is the time which elapses ...

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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 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