## Elements of Natural Philosophy, Part 1 |

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Results 1-5 of 37

Page 4

... however the line be bent . 17. The use of a cord in mechanism presents us with

many practical applications of this theory , which are in general extremely simple

; although curious , and not always very easy , geometrical

... however the line be bent . 17. The use of a cord in mechanism presents us with

many practical applications of this theory , which are in general extremely simple

; although curious , and not always very easy , geometrical

**problems**occur in ... Page 16

A further instance of this use of the idea of angular velocity may now be given , to

solve the

which the acceleration is directed to a fixed point , and varies inversely as the ...

A further instance of this use of the idea of angular velocity may now be given , to

solve the

**problem**of finding the hodograph ( § 35 ) for any case of motion inwhich the acceleration is directed to a fixed point , and varies inversely as the ...

Page 28

Such an investigation is sufficient as a solution of the

complex harmonic function expressing a given arbitrary periodic function , —

when once we are assured that the

assurance ...

Such an investigation is sufficient as a solution of the

**problem**, —to find acomplex harmonic function expressing a given arbitrary periodic function , —

when once we are assured that the

**problem**is possible ; and when we have thisassurance ...

Page 30

... velocity of AB AB OD be w , that of CD is A similar process is of course OB CD

applicable to any combination of machinery , and we shall find it very convenient

when we come to apply the principle of work in various

... velocity of AB AB OD be w , that of CD is A similar process is of course OB CD

applicable to any combination of machinery , and we shall find it very convenient

when we come to apply the principle of work in various

**problems**of Mechanics . Page 36

But the general solution of this

admitted into the present treatise . 112. We shall next consider the most general

possible motion of a rigid body of which no point is fixed - and first we must prove

...

But the general solution of this

**problem**demands higher analysis than can beadmitted into the present treatise . 112. We shall next consider the most general

possible motion of a rigid body of which no point is fixed - and first we must prove

...

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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 experience 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 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