## Elements of Natural Philosophy, Volume 1 |

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Page 3

In estimating this , we must of course take the enlarged modern meaning of an

angle , including angles greater than two

Thus the integral curvature of any closed curve or broken line , whether ...

In estimating this , we must of course take the enlarged modern meaning of an

angle , including angles greater than two

**right angles**, and also negative angles .Thus the integral curvature of any closed curve or broken line , whether ...

Page 4

... this sum is four

reëntrant polygons are excluded . In the star - shaped figure , it is ten

, wanting the sum of the five acute angles of the figure ; i.e. it is eight

... this sum is four

**right angles**, —an extension of the result in Euclid , where allreëntrant polygons are excluded . In the star - shaped figure , it is ten

**right angles**, wanting the sum of the five acute angles of the figure ; i.e. it is eight

**right angles**. Page 7

... with velocities , or ( as we shall do farther on ) with accelerations and forces ,

consists in studying , not the velocity , acceleration , or force , directly , but its

resolved parts parallel to any three assumed directions at

other .

... with velocities , or ( as we shall do farther on ) with accelerations and forces ,

consists in studying , not the velocity , acceleration , or force , directly , but its

resolved parts parallel to any three assumed directions at

**right angles**to eachother .

Page 18

Hence B's path about A is A's about B turned through two

regard to G and G ' it is evident that the directions remain the same , while the

lengths are altered in a given ratio ; but this is the definition of similar curves . 66.

Hence B's path about A is A's about B turned through two

**right angles**. And withregard to G and G ' it is evident that the directions remain the same , while the

lengths are altered in a given ratio ; but this is the definition of similar curves . 66.

Page 22

... motion is simple harmonic , of amplitude CS , and of epoch exceeding that of

the motion of P , and falling short of that of the motion of P ' , by the angles QCS

and SCQ respectively . 76. ... Hence CBA is a

СА .

... motion is simple harmonic , of amplitude CS , and of epoch exceeding that of

the motion of P , and falling short of that of the motion of P ' , by the angles QCS

and SCQ respectively . 76. ... Hence CBA is a

**right angle**; A and AB sin BCA =СА .

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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