## Elements of Natural Philosophy, Volume 1 |

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Page 17

We can calculate from astronomical data for any instant the direction in which ,

and the velocity with which , we are moving on account of the earth ' s diurnal

earth in ...

We can calculate from astronomical data for any instant the direction in which ,

and the velocity with which , we are moving on account of the earth ' s diurnal

**rotation**. We may compound this with the ( equally calculable ) velocity of theearth in ...

Page 20

... which the motion is rectilineal , if the motion of the

motion of the treadle in a spinning - wheel approximates to the same condition

when the wheel moves uniformly ; the approximation being the closer , the

smaller ...

... which the motion is rectilineal , if the motion of the

**rotating**part is uniform . Themotion of the treadle in a spinning - wheel approximates to the same condition

when the wheel moves uniformly ; the approximation being the closer , the

smaller ...

Page 27

This is intimately connected with the explanation of two sets of important

phenomena , — the

certain fluids on the one hand , and by transparent bodies under magnetic forces

on the ...

This is intimately connected with the explanation of two sets of important

phenomena , — the

**rotation**of the plane of polarization of light , by quartz andcertain fluids on the one hand , and by transparent bodies under magnetic forces

on the ...

Page 28

through its point of suspension , and containing in its bob a fly - wheel in rapid

harmonic motions , we must enunciate Fourier ' s Theorem , which is not only one

of the ...

through its point of suspension , and containing in its bob a fly - wheel in rapid

**rotation**. 88 . [ Before leaving for a time the subject of the composition ofharmonic motions , we must enunciate Fourier ' s Theorem , which is not only one

of the ...

Page 29

... simple construction therefore enables us not only to demonstrate the general

proposition ( § 91 ) , but also to determine from the two positions of one line AB ,

A ' B ' of the figure the common centre and the amount of the angle of

... simple construction therefore enables us not only to demonstrate the general

proposition ( § 91 ) , but also to determine from the two positions of one line AB ,

A ' B ' of the figure the common centre and the amount of the angle of

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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.