## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 2

If the path be not straight the direction of motion changes from point to point , and

the rate of this change , per

exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii ...

If the path be not straight the direction of motion changes from point to point , and

the rate of this change , per

**unit**of length of the curve , is called the Curvature . Toexemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii ...

Page 3

The rate of torsion , or the tortuosity , is therefore to be measured by the rate at

which the osculating plane turns about the tangent , per

The simplest illustration of a tortuous curve is the thread of a screw . Compare $

41 ...

The rate of torsion , or the tortuosity , is therefore to be measured by the rate at

which the osculating plane turns about the tangent , per

**unit**length of the curve .The simplest illustration of a tortuous curve is the thread of a screw . Compare $

41 ...

Page 6

Uniform velocity is measured by the space passed over in

general , expressed in feet or in metres per second ; if very great , as in the case

of light , it may be measured in miles per second . It is to be observed that Time ...

Uniform velocity is measured by the space passed over in

**unit**of time , and is , ingeneral , expressed in feet or in metres per second ; if very great , as in the case

of light , it may be measured in miles per second . It is to be observed that Time ...

Page 9

If we choose as the

of time to the velocity of a point , an acceleration measured by a will add a

velocity in

If we choose as the

**unit**of acceleration that which adds a**unit**of velocity per**unit**of time to the velocity of a point , an acceleration measured by a will add a

**units**ofvelocity in

**unit**of time -- and , therefore , at**units**of velocity in t**units**of time . Page 13

... second theorem of $ 45 , that in the case supposed the areas described by the

radius - vector are proportional to the times ; for , as we have seen , the moment

of the velocity is double the area traced out by the radius - vector in

... second theorem of $ 45 , that in the case supposed the areas described by the

radius - vector are proportional to the times ; for , as we have seen , the moment

of the velocity is double the area traced out by the radius - vector in

**unit**of time .### What people are saying - Write a review

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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