## Elements of Natural Philosophy |

### From inside the book

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Page 7

... since , in the latter case , the direction of motion continually changes , the mere

must have in every such case additional data to thoroughly specify the motion .

... since , in the latter case , the direction of motion continually changes , the mere

**amount**of the velocity is not sufficient completely to describe the motion , and wemust have in every such case additional data to thoroughly specify the motion .

Page 10

Hence the velocity of P is to that of A as OP to CA , i . e . as V to R ; and is

therefore equal to and this ( $ 35 ) is the

path ABD . 37 . The whole acceleration in any direction is the sum of the

components ...

Hence the velocity of P is to that of A as OP to CA , i . e . as V to R ; and is

therefore equal to and this ( $ 35 ) is the

**amount**of the acceleration in the circulatpath ABD . 37 . The whole acceleration in any direction is the sum of the

components ...

Page 14

... the change of velocity of the moving point during the corresponding time ; and

also that the tangent to the hodograph is parallel to the direction , and the velocity

in the bodograph is equal to the

... the change of velocity of the moving point during the corresponding time ; and

also that the tangent to the hodograph is parallel to the direction , and the velocity

in the bodograph is equal to the

**amount**of the acceleration of the moving point . Page 23

To find the

phase , and when they are experienced , let CA be equal to the greater half -

amplitude . From A as centre , with AB the less half - amplitude as B radius ,

describe ...

To find the

**amount**of the maximum advance and maximum back . wardness ofphase , and when they are experienced , let CA be equal to the greater half -

amplitude . From A as centre , with AB the less half - amplitude as B radius ,

describe ...

Page 24

The angle BCA thus found is the

motion is advanced or retarded relatively to that of the larger component ; and the

supplement of BCA is the difference of phase of the two components at the time

of ...

The angle BCA thus found is the

**amount**by which the phase of the resultantmotion is advanced or retarded relatively to that of the larger component ; and the

supplement of BCA is the difference of phase of the two components at the time

of ...

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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