## Elements of Natural Philosophy, Volume 1 |

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Page 59

The

connected with one another or not ) is the point whose distance is equal to their

average distance from any plane whatever ( § 194 ) . A group of material points of

...

The

**Centre of Inertia**or Mass of a system of equal material points ( whetherconnected with one another or not ) is the point whose distance is equal to their

average distance from any plane whatever ( § 194 ) . A group of material points of

...

Page 60

The

group of bodies . The term Centre of Gravity is often very inconveniently used for

it . The theory of the resultant action of gravity , which will be given under Abstract

...

The

**Centre of Inertia**or Mass is thus a perfectly definite point in every body , orgroup of bodies . The term Centre of Gravity is often very inconveniently used for

it . The theory of the resultant action of gravity , which will be given under Abstract

...

Page 61

Also , the sum of the products of the mass of each part of a system by the square

of its distance from any axis is called the

this axis ; and the second proposition above is equivalent toThe

Also , the sum of the products of the mass of each part of a system by the square

of its distance from any axis is called the

**Moment of Inertia**of the system aboutthis axis ; and the second proposition above is equivalent toThe

**moment of****inertia**... Page 65

If the universe of matter were finite , its

as absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through infinite space . But it is remarkable that

the ...

If the universe of matter were finite , its

**centre of inertia**might fairly be consideredas absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through infinite space . But it is remarkable that

the ...

Page 70

( 6 ) When any forces whatever act on the body , the motion of the

is the same as it would have been had these forces been applied with their

proper magnitudes and directions at that point itself . ( c ) Since the moment of a

force ...

( 6 ) When any forces whatever act on the body , the motion of the

**centre of inertia**is the same as it would have been had these forces been applied with their

proper magnitudes and directions at that point itself . ( c ) Since the moment of a

force ...

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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.