## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 82

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 T two tangents , PT , QU , drawn to a circle , 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 T two tangents , PT , QU , drawn to a circle , 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 14

William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are

proportional to the timess for , as we have seen , the moment of the velocity is

double the area traced out by the radius - vector in

case ...

William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are

proportional to the timess for , as we have seen , the moment of the velocity is

double the area traced out by the radius - vector in

**unit**of time . 48. Hence in thiscase ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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 expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire