## Elements of Natural Philosophy |

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Page 7

Thus the set of values Space described in one second , Ten times the space

described in the first tenth of a second , A hundred hundredth and so on ,

nearer and nearer approximations to the velocity an the beginning of the first

second .

Thus the set of values Space described in one second , Ten times the space

described in the first tenth of a second , A hundred hundredth and so on ,

**give**nearer and nearer approximations to the velocity an the beginning of the first

second .

Page 14

For the product of this perpendicular and the velocity at any instant

the area described in one second about the ' fixed point , which has just been

shown to be a constant quantity . As the kinematical propositions with which we

are ...

For the product of this perpendicular and the velocity at any instant

**gives**doublethe area described in one second about the ' fixed point , which has just been

shown to be a constant quantity . As the kinematical propositions with which we

are ...

Page 16

... but unless their line of intersection remain fixed , or at all events parallel to itself

, a somewhat more laboured statement is required to

specification of the motion . 55. · The unit angular velocity is that of a point which

describes ...

... but unless their line of intersection remain fixed , or at all events parallel to itself

, a somewhat more laboured statement is required to

**give**a completespecification of the motion . 55. · The unit angular velocity is that of a point which

describes ...

Page 18

... to be found by imagining impressed on both a southward velocity of fifty miles

an hour ; the effect of this being to bring the first to rest , and to

southward velocity of eighty miles an hour , which is the required relative motion .

... to be found by imagining impressed on both a southward velocity of fifty miles

an hour ; the effect of this being to bring the first to rest , and to

**give**the second asouthward velocity of eighty miles an hour , which is the required relative motion .

Page 22

Any two simple harmonic motions in one line , and of one period ,

compounded , a single simple harmonic motion S of the same period ; of

amplitude equal R IA to the diagonal of a parallelogram de . scribed on lengths

equal to ...

Any two simple harmonic motions in one line , and of one period ,

**give**, whencompounded , a single simple harmonic motion S of the same period ; of

amplitude equal R IA to the diagonal of a parallelogram de . scribed on lengths

equal to ...

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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 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