## Elements of Natural Philosophy |

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Page 9

It is said to be uniform when the point receives

time . If we choose as the unit of acceleration that which adds a unit of velocity

per ...

It is said to be uniform when the point receives

**equal**increments of velocity in**equal**times , and is then measured by the actual increase of velocity per unit oftime . If we choose as the unit of acceleration that which adds a unit of velocity

per ...

Page 10

Since the velocity in ABD is constant , all the lines OP , OC , etc . , will be

to 1 , and there fore POS is a circle whose centre is O . The direction of ,

acceleration at A is parallel to the tangent at P , that is , is per pendicular to OP , i .

e . to ...

Since the velocity in ABD is constant , all the lines OP , OC , etc . , will be

**equal**(to 1 , and there fore POS is a circle whose centre is O . The direction of ,

acceleration at A is parallel to the tangent at P , that is , is per pendicular to OP , i .

e . to ...

Page 13

The moment of the resultant velocity of a par . ticle about any point in the plane of

the components is

, the proper sign of each moment depending on the direction of motion about ...

The moment of the resultant velocity of a par . ticle about any point in the plane of

the components is

**equal**to the algebraic sum of the moments of the components, the proper sign of each moment depending on the direction of motion about ...

Page 14

I . Each planet describes an Ellipse [ with comets , this may be any Conic Section

) of which the Sun occupies one focus . II . The radius - vector of each planet .

describes

I . Each planet describes an Ellipse [ with comets , this may be any Conic Section

) of which the Sun occupies one focus . II . The radius - vector of each planet .

describes

**equal**areas in**equal**times . III . The square of the periodic time [ in an ... Page 22

Its maximum value is . that with which a velocity

motion would be acquired in the time in which an arc

described . For in the fig . , the acceleration of Q ( by $ 36 ) is © along Qo .

Supposing , for a ...

Its maximum value is . that with which a velocity

**equal**to that of the circularmotion would be acquired in the time in which an arc

**equal**to the radius isdescribed . For in the fig . , the acceleration of Q ( by $ 36 ) is © along Qo .

Supposing , for a ...

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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