## Elements of Natural Philosophy, Volume 1 |

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Page 1

2 . Force is recognized as acting in two ways : 1° so as to compel rest or to

prevent change of motion , and 2° so as to produce or to change motion .

Dynamics , therefore , is

STATICS and ...

2 . Force is recognized as acting in two ways : 1° so as to compel rest or to

prevent change of motion , and 2° so as to produce or to change motion .

Dynamics , therefore , is

**divided**into two parts , which are conveniently calledSTATICS and ...

Page 3

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

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 6

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

**divided**by the time ; and , the less the ... Page 9

The average acceleration during any time is the whole velocity gained during that

time ,

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

. 34 .

The average acceleration during any time is the whole velocity gained during that

time ,

**divided**by the time . In Newton ' s nộtation • is used to express theacceleration in the direction of motion ; and , if v = s as in § 28 , we have a = v = S

. 34 .

Page 10

... equal in amount to the square of the velocity

The whole acceleration will , in every case , be the resultant of the acceleration

thus measuring change of direction and the acceleration of actual velocity along

...

... equal in amount to the square of the velocity

**divided**by the radius of curvature .The whole acceleration will , in every case , be the resultant of the acceleration

thus measuring change of direction and the acceleration of actual velocity along

...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis becomes body called centre centre of inertia circle cloth 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 period perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain 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

### Popular passages

Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.

Page 9 - Persius. The Satires. With a Translation and Commentary. By John Conington, MA, late Corpus Professor of Latin in the University of Oxford. Edited by H. Nettleship, MA Second Edition.

Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.

Page 10 - Crown 8vo. cloth, 7s. 6d. A Treatise on Electricity and Magnetism. By J. Clerk Maxwell, MA, FRS, Professor of Experimental Physics in the University of Cambridge.

Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.

Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.

Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.

Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.

Page 9 - An Elementary Treatise on Quaternions. By PG TAIT, MA, Professor of Natural Philosophy in the University of Edinburgh ; formerly Fellow of St Peter's College, Cambridge. Second Edition. Demy 8vo. 14*.

Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.