## Elements of Natural Philosophy, Volume 1 |

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Results 1-5 of 54

Page 3

The fact is , that there are not two curvatures , but only a curvature ( as above

defined ) of which the plane is continuously changing , or twisting ,

tangent line . The course of such a curve is , in common language , well called '

tortuous ...

The fact is , that there are not two curvatures , but only a curvature ( as above

defined ) of which the plane is continuously changing , or twisting ,

**round**thetangent line . The course of such a curve is , in common language , well called '

tortuous ...

Page 4

all the sides being produced each in the direction in which the moving point

describes it while passing

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

all the sides being produced each in the direction in which the moving point

describes it while passing

**round**the figure . This is true whether the polygon beclosed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

Page 13

Their half - moments

Now OCA , together with half the area of the parallelogram CABD , is equal to

OBD . Hence the sum of the two half - moments together with half the area of the

...

Their half - moments

**round**the point 0 are respectively the areas OAB , OCA .Now OCA , together with half the area of the parallelogram CABD , is equal to

OBD . Hence the sum of the two half - moments together with half the area of the

...

Page 19

But for drawing , or engraving , or for other mechanical applications , the

following method is preferable :CF and ED are rods of equal length moving freely

EB , and ...

But for drawing , or engraving , or for other mechanical applications , the

following method is preferable :CF and ED are rods of equal length moving freely

**round**a pivot at P , which passes through the middle point E of each - CA , AD ,EB , and ...

Page 25

The given motion A of P in BA will be ( § 67 ) defined by the motion of a point Q

direction indicated by the arrow , will B IO P give a simple harmonic motion of P ' ,

in ...

The given motion A of P in BA will be ( § 67 ) defined by the motion of a point Q

**round**the circumference PH of this circle ; and the same point , if moving in thedirection indicated by the arrow , will B IO P give a simple harmonic motion of P ' ,

in ...

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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