## Elements of Natural Philosophy, Part 1 |

### From inside the book

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Page 29

The preceding simple construction therefore enables us not only to demonstrate

the general proposition ( $ _91 ) , but also to

, A'B ' of the figure the common centre and the amount of the angle of rotation .

The preceding simple construction therefore enables us not only to demonstrate

the general proposition ( $ _91 ) , but also to

**determine**from the two positions AB, A'B ' of the figure the common centre and the amount of the angle of rotation .

Page 35

Hence rotations are to be compounded according to the same law as velocities ,

and therefore the single angular velocity , equivalent to three co - existent

angular velocities about three mutually perpendicular axes , is

Hence rotations are to be compounded according to the same law as velocities ,

and therefore the single angular velocity , equivalent to three co - existent

angular velocities about three mutually perpendicular axes , is

**determined**in ... Page 36

To complete our kinematical investigation of the motion of a body of which one

point is fixed , we require a solution of the following problem : -From the given

angular velocities of the body about three rectangular axes attached to it to

To complete our kinematical investigation of the motion of a body of which one

point is fixed , we require a solution of the following problem : -From the given

angular velocities of the body about three rectangular axes attached to it to

**determine**... Page 44

When the positions of the principal axes , and the magnitudes of the principal

elongations of a strain are given , the elongation of any line of the body , and the

alteration of angle between any two lines , may be obviously

When the positions of the principal axes , and the magnitudes of the principal

elongations of a strain are given , the elongation of any line of the body , and the

alteration of angle between any two lines , may be obviously

**determined**by a ... Page 50

As an additional degree of freedom is lost by each successive limitation of a point

in the body to a smooth surface , six such conditions completely

position of the body . Thus if six points properly chosen on the barrel and stock of

...

As an additional degree of freedom is lost by each successive limitation of a point

in the body to a smooth surface , six such conditions completely

**determine**theposition of the body . Thus if six points properly chosen on the barrel and stock of

...

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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