## Elements of Natural Philosophy |

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Page 2

When a point moves from one position to another it must evidently describe a

continuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any

of ...

When a point moves from one position to another it must evidently describe a

continuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any

**angles**. If the motion be thatof ...

Page 3

The Integral Curvature , or whole change of direction , of an arc of a plane curve ,

is the

to the other . The average curvature of any portion is its whole curvature divided ...

The Integral Curvature , or whole change of direction , of an arc of a plane curve ,

is the

**angle**through which the tangent has turned as we pass from one extremityto the other . The average curvature of any portion is its whole curvature divided ...

Page 4

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

extension of the result in Euclid , where all reëntrant polygons are excluded . In

the star - shaped figure , it is ten right

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

**angles**, - anextension of the result in Euclid , where all reëntrant polygons are excluded . In

the star - shaped figure , it is ten right

**angles**, wanting the sum of the five acute ... Page 7

80 A velocity in any direction may be resolved in , ana perpendicular to , any

other direction . The first component is found by multiplying the velocity by the

cosine of the

sine ...

80 A velocity in any direction may be resolved in , ana perpendicular to , any

other direction . The first component is found by multiplying the velocity by the

cosine of the

**angle**between the two directions ; the second by using as factor thesine ...

Page 8

directions ; the second by using as factor the sine of the same

point moving with velocity V up an Inclined Plane , making an

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

be ...

directions ; the second by using as factor the sine of the same

**angle**. Thus apoint moving with velocity V up an Inclined Plane , making an

**angle**a with thehorizon , has a vertical velocity V sin a and a horizontal velocity V cosa Or it may

be ...

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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