## Elements of Natural Philosophy |

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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 unit of

exemplify this , suppose 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 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 unit

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 16

The usual unit angle is ( as explained in treatises on plane trigonometry ) that

which subtends at the centre of a circle an arc whose

; being an angle of = 57°29578 . . . = 57°17 ' 44 " : 8 nearly . 56 . The angular ...

The usual unit angle is ( as explained in treatises on plane trigonometry ) that

which subtends at the centre of a circle an arc whose

**length**is equal to the radius; being an angle of = 57°29578 . . . = 57°17 ' 44 " : 8 nearly . 56 . The angular ...

Page 19

Then , as the form of the relativem path depends only upon the

Ğ B direction of the line joining the two ... And with regard to G and Gʻ it is

evident that the directions remain the same , while the

given ...

Then , as the form of the relativem path depends only upon the

**length**and G * XĞ B direction of the line joining the two ... And with regard to G and Gʻ it is

evident that the directions remain the same , while the

**lengths**are altered in agiven ...

Page 22

Any two simple harmonic motions in one line , and of one period , give , when

compounded , a single simple harmonic motion ; s _ of the same period ; of

amplitude equal to the diagonal of a parallelogram described on

their ...

Any two simple harmonic motions in one line , and of one period , give , when

compounded , a single simple harmonic motion ; s _ of the same period ; of

amplitude equal to the diagonal of a parallelogram described on

**lengths**equal totheir ...

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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 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 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