## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 55

Page 4

The mathematical

distance measured along the line from any one point to any other , remains

constant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

The mathematical

**condition**to be expressed in any case of it is simply that thedistance measured along the line from any one point to any other , remains

constant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

Page 20

The motion of the treadle in a spinning - wheel approximates to the same

the smaller is the angular motion of the treadle and of the connecting string . It is

also ...

The motion of the treadle in a spinning - wheel approximates to the same

**condition**when the wheel moves uniformly ; the approximation being the closer ,the smaller is the angular motion of the treadle and of the connecting string . It is

also ...

Page 25

But the plane and position of the circle of which this projection is taken may

clearly be found so as to fulfil the

coincident with any two given mutually bisecting lines . Hence any two given

simple ...

But the plane and position of the circle of which this projection is taken may

clearly be found so as to fulfil the

**condition**of having the projections of the rangescoincident with any two given mutually bisecting lines . Hence any two given

simple ...

Page 28

... is to say , that no other complex harmonic function than the one we have found

can satisfy the

displacement of a rigid body or group of points whose relative positions are

unalterable .

... is to say , that no other complex harmonic function than the one we have found

can satisfy the

**conditions**. ] 90. We now pass to the consideration of thedisplacement of a rigid body or group of points whose relative positions are

unalterable .

Page 29

It is not necessary to suppose the figure to be a mere flat disc or plane - for the

preceding statements apply to any one of a set of parallel planes in a rigid body ,

moving in any way subject to the

It is not necessary to suppose the figure to be a mere flat disc or plane - for the

preceding statements apply to any one of a set of parallel planes in a rigid body ,

moving in any way subject to the

**condition**that the points of any one plane in it ...### What people are saying - Write a review

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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 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 remarkable 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