## Elements of Natural Philosophy, Part 1 |

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Page 39

Thus we may divide curved surfaces into Anticlastic and Synclastic . A saddle

gives a good example of the former class ; a ball of the latter . Curvatures in

signs .

Thus we may divide curved surfaces into Anticlastic and Synclastic . A saddle

gives a good example of the former class ; a ball of the latter . Curvatures in

**opposite**directions , with reference to the tangent plane , have of course differentsigns .

Page 40

In an anticlastic surface there is maximum curvature ( but in

in the two normal sections whose planes bisect the angles between the lines in

which the surface cuts its tangent plane . On account of the difference of sign ...

In an anticlastic surface there is maximum curvature ( but in

**opposite**directions )in the two normal sections whose planes bisect the angles between the lines in

which the surface cuts its tangent plane . On account of the difference of sign ...

Page 58

If we take two points Ay , Ay , the middle point , P2 , of the line joining them is

obviously distant from any plane whatever by a quantity equal to the mean ( in

this case the half sum or difference as they are on the same or on

) of ...

If we take two points Ay , Ay , the middle point , P2 , of the line joining them is

obviously distant from any plane whatever by a quantity equal to the mean ( in

this case the half sum or difference as they are on the same or on

**opposite**sides) of ...

Page 61

... of the triangle representing its magnitude , perpendicular to its plane , through

the front of a watch held in the plane with its centre at the point , and facing so

that the force tends to turn round this point in a direction

... of the triangle representing its magnitude , perpendicular to its plane , through

the front of a watch held in the plane with its centre at the point , and facing so

that the force tends to turn round this point in a direction

**opposite**to the hands . Page 63

negative according as the virtual velocity is in the same , or in the

direction to that of the force . The product of the force , into the virtual velocity of its

point of application , has been called the Virtual Moment of the force . These

terms ...

negative according as the virtual velocity is in the same , or in the

**opposite**,direction to that of the force . The product of the force , into the virtual velocity of its

point of application , has been called the Virtual Moment of the force . These

terms ...

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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