## Elements of Natural Philosophy |

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Page 2

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each side of the point . 11 . If all the points of the curve lie in one

is called a

...

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each side of the point . 11 . If all the points of the curve lie in one

**plane**, itis called a

**plane**curve , and if it be made up of portions of straight or curved lines...

Page 3

is called a

what is called a curve of double curvature , in the other a gauche polygon . The

term " curve of double curvature ' is a very bad one , and , though in very general

...

is called a

**plane**polygon . If the line do not lie in one**plane**, we have in one casewhat is called a curve of double curvature , in the other a gauche polygon . The

term " curve of double curvature ' is a very bad one , and , though in very general

...

Page 5

If a flexible and inextensible string be fixed at one point of a

stretched along the curve , and be then unwound in the

point of it will describe an Involute of the curve . The original curve is called the ...

If a flexible and inextensible string be fixed at one point of a

**plane**curve , andstretched along the curve , and be then unwound in the

**plane**of the curve , everypoint of it will describe an Involute of the curve . The original curve is called the ...

Page 8

Thus a point moving with velocity V up an Inclined

the horizon , has a vertical velocity V sin a and a horizontal velocity V cosa Or it

may be resolved into components in any three rectangular directions , each ...

Thus a point moving with velocity V up an Inclined

**Plane**, making an angle a withthe horizon , has a vertical velocity V sin a and a horizontal velocity V cosa Or it

may be resolved into components in any three rectangular directions , each ...

Page 11

( 6 ) If a point moves in a

two rectangular axes ' is proportional to its disa tance from that axis , the path is

an ellipse or hyperbola whose principal diameters coincide with those axes ; and

the ...

( 6 ) If a point moves in a

**plane**, and its component velocity parallel to each oftwo rectangular axes ' is proportional to its disa tance from that axis , the path is

an ellipse or hyperbola whose principal diameters coincide with those axes ; and

the ...

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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