## Elements of Natural Philosophy |

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Results 1-5 of 48

Page 10

... of motion , the velocity will not be altered and the only

will be to make the point move in a curve whose curvature is proportional to the

acceleration at each instant , and inversely as the square of the velocity . 89.

... of motion , the velocity will not be altered and the only

**effect**of the accelerationwill be to make the point move in a curve whose curvature is proportional to the

acceleration at each instant , and inversely as the square of the velocity . 89.

Page 18

The relative velocity of the second with regard to the first is to be found by

imagining impressed on both a southward velocity of fifty miles an hour ; the

velocity of ...

The relative velocity of the second with regard to the first is 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 a southwardvelocity of ...

Page 32

A is brought to A. The construction of $ gi gives us at once the point o and the

amount of rotation about it which singly gives the same

and B in succession . But there is one case of exception , viz . when the rotations

...

A is brought to A. The construction of $ gi gives us at once the point o and the

amount of rotation about it which singly gives the same

**effect**as those about Aand B in succession . But there is one case of exception , viz . when the rotations

...

Page 46

The

figure of any part . 144. The principal axes of a strain are the principal axes of the

ellipsoid into which it converts a sphere . The principal elongations of a strain ...

The

**effect**is , in this case , merely an alteration of dimensions without change offigure of any part . 144. The principal axes of a strain are the principal axes of the

ellipsoid into which it converts a sphere . The principal elongations of a strain ...

Page 59

In the case of a force distributed over a surface , it is frequently possible and

convenient to assume a single point and a single line , such that a certain force

acting at that point in that line would . produce the same

produced .

In the case of a force distributed over a surface , it is frequently possible and

convenient to assume a single point and a single line , such that a certain force

acting at that point in that line would . produce the same

**effect**as is reallyproduced .

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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