## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 41

Page 17

The intensity of heat and light emanating from a point , or from a uniformly

radiating

distance from the centre . Hence the rate at which a planet receives heat and light

from ...

The intensity of heat and light emanating from a point , or from a uniformly

radiating

**spherical**surface , diminishes according to the inverse square of thedistance from the centre . Hence the rate at which a planet receives heat and light

from ...

Page 36

Consider a

All points of this sphere attached to the body will move on a sphere fixed in space

. Hence the construction of 8.91 may be made , only with great circles ...

Consider a

**spherical**surface within the body , with its centre at the fixed point C.All points of this sphere attached to the body will move on a sphere fixed in space

. Hence the construction of 8.91 may be made , only with great circles ...

Page 37

... a similar pyramid ( the image in a plane mirror of the first position of the first ) all

round , it clearly comes back to its primitive position . This ( as all rolling of cones

) is exhibited best by taking the intersection of each with a

... a similar pyramid ( the image in a plane mirror of the first position of the first ) all

round , it clearly comes back to its primitive position . This ( as all rolling of cones

) is exhibited best by taking the intersection of each with a

**spherical**surface . Page 38

The method of $ 100 also applies to the case of $ 106 ; and it is thus easy to

show that the most general motion of a

surface is obtained by the rolling of a curve fixed in the figure on a curve fixed on

the ...

The method of $ 100 also applies to the case of $ 106 ; and it is thus easy to

show that the most general motion of a

**spherical**figure on a fixed**spherical**surface is obtained by the rolling of a curve fixed in the figure on a curve fixed on

the ...

Page 46

The ellipsoid which any surface of the body initially

altered condition , may , to avoid circumlocutions , be called the Strain Ellipsoid .

142. In any absolutely unrestricted homogeneous strain there are three directions

...

The ellipsoid which any surface of the body initially

**spherical**becomes in thealtered condition , may , to avoid circumlocutions , be called the Strain Ellipsoid .

142. In any absolutely unrestricted homogeneous strain there are three directions

...

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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