## Elements of Natural Philosophy, Volume 1 |

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Results 1-5 of 68

Page

CHAP . I. KINEMATICS PAGE I II . DYNAMICAL LAWS AND PRINCIPLES 52 III .

EXPERIENCE 106 IV . MEASURES AND INSTRUMENTS 117 DIVISION II .

ABSTRACT DYNAMICS . V. INTRODUCTORY 130 VI . STATICS OF A

.

CHAP . I. KINEMATICS PAGE I II . DYNAMICAL LAWS AND PRINCIPLES 52 III .

EXPERIENCE 106 IV . MEASURES AND INSTRUMENTS 117 DIVISION II .

ABSTRACT DYNAMICS . V. INTRODUCTORY 130 VI . STATICS OF A

**PARTICLE**.

Page 2

If the motion be that of a material

change of velocity , nor of direction unless where the velocity is zero , since ( as

we shall afterwards see ) such would imply the action of an infinite force . It is

useful to ...

If the motion be that of a material

**particle**, however , there can be no abruptchange of velocity , nor of direction unless where the velocity is zero , since ( as

we shall afterwards see ) such would imply the action of an infinite force . It is

useful to ...

Page 13

The moment of the resultant velocity of a

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 the

...

The moment of the resultant velocity of a

**particle**about any point in the plane ofthe 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 the

...

Page 14

Smith's curve is precisely the Hamiltonian hodograph for an imaginary

moving at each instant with the same velocity and the same direction as the

Smith's curve is precisely the Hamiltonian hodograph for an imaginary

**particle**moving at each instant with the same velocity and the same direction as the

**particle**of fluid passing , at the same instant , through the point referred to . ] 50. Page 17

From $$ 61 , 52 , it follows that when a

fixed point , varying inversely as the square of the istance , its orbit is a conic

section , with his point for one focus . And conversely ( $$ 47 , 51 , 62 ) , if the

orbit ...

From $$ 61 , 52 , it follows that when a

**particle**moves with acceleration towards afixed point , varying inversely as the square of the istance , its orbit is a conic

section , with his point for one focus . And conversely ( $$ 47 , 51 , 62 ) , if the

orbit ...

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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 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 remarkable 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