## Elements of Natural Philosophy, Part 1 |

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Page 52

The

proportional , according to Newton , to the Volume and the Density conjointly . In

reality , the definition gives us the meaning of density rather than of mass ; for it ...

The

**Quantity**of Matter in a body , or , as we now call it , the Mass of a body , isproportional , according to Newton , to the Volume and the Density conjointly . In

reality , the definition gives us the meaning of density rather than of mass ; for it ...

Page 53

shows us that , of matter of uniform density , the mass or

to the volume or space it occupies . Let M be the mass , p the density , and V the

volume , of a homo- , géneous body . Then M = Vp ; if we so take our units that ...

shows us that , of matter of uniform density , the mass or

**quantity**is proportionalto the volume or space it occupies . Let M be the mass , p the density , and V the

volume , of a homo- , géneous body . Then M = Vp ; if we so take our units that ...

Page 54

Hence the above statement . It is often convenient to use Newton's Fluxional

notation for the rate of change of any

§ 28 ) • stands for = ( 0 , —v ) ; so that the rate of change of { Mvʻ , the kinetic

energy ...

Hence the above statement . It is often convenient to use Newton's Fluxional

notation for the rate of change of any

**quantity**per unit of 1 time . In this notation (§ 28 ) • stands for = ( 0 , —v ) ; so that the rate of change of { Mvʻ , the kinetic

energy ...

Page 55

The Measure of a Force is the

The reader , who has been accustomed to speak of a force of so many pounds ,

or so many tons , may be reasonably startled when he finds that Newton gives ...

The Measure of a Force is the

**quantity**of motion which it produces in unit of time .The reader , who has been accustomed to speak of a force of so many pounds ,

or so many tons , may be reasonably startled when he finds that Newton gives ...

Page 56

They are employed primarily in commerce for the purpose of measuring out a

definite

earth with a given force . Whereas a merchant , with a balance and a set of ...

They are employed primarily in commerce for the purpose of measuring out a

definite

**quantity**of matter ; not an amount of matter which shall be attracted by theearth with a given force . Whereas a merchant , with a balance and a set of ...

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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