## Elements of Natural Philosophy |

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Page 5

Hence PP is normal ( or

thus the evolute of PQ is a a definite curve , viz . the envelop of ( or line which is

touched by ) the normals drawn at every point of PQ , or , which is the same thing

...

Hence PP is normal ( or

**perpendicular**to the tangent ) to the curve P . O . Andthus the evolute of PQ is a a definite curve , viz . the envelop of ( or line which is

touched by ) the normals drawn at every point of PQ , or , which is the same thing

...

Page 7

80 A velocity in any direction may be resolved in , ana

other direction . The first component is found by multiplying the velocity by the

cosine of the angle between the two directions ; the second by using as factor the

sine ...

80 A velocity in any direction may be resolved in , ana

**perpendicular**to , anyother direction . The first component is found by multiplying the velocity by the

cosine of the angle between the two directions ; the second by using as factor the

sine ...

Page 10

When a point movės in a curve the whole acceleration may be resolved into two

parts , one in the direction of the motion and equal to the acceleration of the

velocity ; the other towards the centre of curvature (

...

When a point movės in a curve the whole acceleration may be resolved into two

parts , one in the direction of the motion and equal to the acceleration of the

velocity ; the other towards the centre of curvature (

**perpendicular**therefore to the...

Page 13

Evidently there is no acceleration

fixed point and the line of motion of the moving point at any instant ; and there

being no velocity

Evidently there is no acceleration

**perpendicular**to the plane con . taining thefixed point and the line of motion of the moving point at any instant ; and there

being no velocity

**perpendicular**to this plane at starting , there is therefore none ... Page 14

Hence in this case the velocity at any point is inversely as the

the fixed point to the tangent to the path or the momentary direction of motion .

For the product of this .

...

Hence in this case the velocity at any point is inversely as the

**perpendicular**fromthe fixed point to the tangent to the path or the momentary direction of motion .

For the product of this .

**perpendicular**and the velocity at any instant gives double...

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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