## Elements of Natural Philosophy, Part 1 |

### From inside the book

Page 7

A velocity in any direction may be resolved in , and

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 of ...

A velocity in any direction may be resolved in , and

**perpendicular**to , any otherdirection . 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 of ...

Page 10

Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to

V ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is

i.e. to ...

Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to

V ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is

**perpendicular**to OP ,i.e. to ...

Page 12

Evidently there is no acceleration

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 containing the fixedpoint 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 13

The Moment of a velocity or of a force about any point is the product of its

magnitude into the

of the resultant velocity of a particle about any point in the plane of the

components is ...

The Moment of a velocity or of a force about any point is the product of its

magnitude into the

**perpendicular**from the point upon its direction . The momentof the resultant velocity of a particle about any point in the plane of the

components is ...

Page 14

For the product of this

the area described in one second about the fixed point , which has just been

shown to be a constant quantity . Other examples of these principles will be met

with ...

For the product of this

**perpendicular**and the velocity at any instant gives doublethe area described in one second about the fixed point , which has just been

shown to be a constant quantity . Other examples of these principles will be met

with ...

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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