## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 88

Page 1

... magnetism , electricity ; and that the preliminary consideration of such

properties in the abstract is of very great use for Natural Philosophy . " We devote

to it , accordingly , the

Geometry ...

... magnetism , electricity ; and that the preliminary consideration of such

properties in the abstract is of very great use for Natural Philosophy . " We devote

to it , accordingly , the

**whole**of this chapter ; B which will form , as it were , theGeometry ...

Page 3

The Integral Curvature , or

is the angle through which the tangent has turned as we pass from one extremity

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

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 extremity

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

**whole**curvature divided ... Page 7

... to the velocity at the beginning of the first second . The

Newton's differential calculus is , in fact , contained in the simple question , What

is the rate at which the space described by a moving point increases ? ' i . e .

... to the velocity at the beginning of the first second . The

**whole**foundation ofNewton's differential calculus is , in fact , contained in the simple question , What

is the rate at which the space described by a moving point increases ? ' i . e .

Page 8

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

component being found by multiplying the

angle between its direction and that of the component . The velocity resolved in

any ...

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

component being found by multiplying the

**whole**velocity by the cosine of theangle between its direction and that of the component . The velocity resolved in

any ...

Page 9

The average acceleration during any time is the

time , divided by the time . In Newton's notation v is used to express the

acceleration in the direction of motion ; and , if v = s as in § 28 , we have a = v = j .

34.

The average acceleration during any time is the

**whole**velocity gained during thattime , divided by the time . In Newton's notation v is used to express the

acceleration in the direction of motion ; and , if v = s as in § 28 , we have a = v = j .

34.

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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