## Elements of Natural Philosophy |

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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

moving point describes it while passing

polygon be closed or not . If closed , then , as long as it is not crossed , this sum is

four right angles , -an extension of the result in Euclid , where all reëntrant ...

moving point describes it while passing

**round**the figure . This is true whether thepolygon be closed or not . If closed , then , as long as it is not crossed , this sum is

four right angles , -an extension of the result in Euclid , where all reëntrant ...

Page 13

The same is true of moments of forces and of moments of momentum , as defined

in Chapter II . First , consider two component motions , AB and AC , and let AD be

their resultant ( $ 31 ) . Their half - moments

The same is true of moments of forces and of moments of momentum , as defined

in Chapter II . First , consider two component motions , AB and AC , and let AD be

their resultant ( $ 31 ) . Their half - moments

**round**the point o are respectively ... 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 ...

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 B of each - CA , AD ,EB ...

Page 23

An arm ce turning

one of them fixed with its axis through C , and the others pivoted on a framework

carried by CQ ' , are so arranged that O'S turns very approximately at the rate of ...

An arm ce turning

**round**C carries an arm Q'S turning**round**Q. Toothed wheels ,one of them fixed with its axis through C , and the others pivoted on a framework

carried by CQ ' , are so arranged that O'S turns very approximately at the rate of ...

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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 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