## Elements of Natural Philosophy, Part 1 |

### From inside the book

Results 6-10 of 42

Page 25

But , since A'OA , QPO , and QP'0 are

parallelogram , and therefore is in the position of the displacement compounded

of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

But , since A'OA , QPO , and QP'0 are

**right angles**, the figure B ' QP OP is aparallelogram , and therefore is in the position of the displacement compounded

of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

Page 32

... it must be of invariable magnitude , since in it a chord of given length AB

subtends a given angle ( at the circumference . ... the invariability of the angles

BOD , AOC , move along straight lines OC , OD , and these are evidently at

... it must be of invariable magnitude , since in it a chord of given length AB

subtends a given angle ( at the circumference . ... the invariability of the angles

BOD , AOC , move along straight lines OC , OD , and these are evidently at

**right****angles**. Page 40

1 o o maximum , in the other a minimum ; and these are at

other . In an anticlastic surface there is maximum curvature ( but in opposite

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

the ...

1 o o maximum , in the other a minimum ; and these are at

**right angles**to eachother . In an anticlastic surface there is maximum curvature ( but in opposite

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

the ...

Page 44

In any absolutely unrestricted homogeneous strain there are three directions ( the

three principal axes of the strain ellipsoid ) , at ht angles to one another , which

remain at

In any absolutely unrestricted homogeneous strain there are three directions ( the

three principal axes of the strain ellipsoid ) , at ht angles to one another , which

remain at

**right angles**to one another in the altered condition of the body . Page 50

It is generally convenient to choose these three directions of resolution at

surface , one degree of constraint is introduced , or there are left but two degrees

of ...

It is generally convenient to choose these three directions of resolution at

**right****angles**to one another . If the point be constrained to remain always on a givensurface , one degree of constraint is introduced , or there are left but two degrees

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