## Elements of Natural Philosophy, Volume 1 |

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Page

The sole justification of the course we have pursued is that wherever , in the

present volume , the student may feel further information to be desirable , he will

have no difficulty in finding it in the

great ...

The sole justification of the course we have pursued is that wherever , in the

present volume , the student may feel further information to be desirable , he will

have no difficulty in finding it in the

**corresponding**pages of the larger work . Agreat ...

Page 3

The course of such a curve is , in common language , well called ' tortuous ; ' and

the measure of the

The nature of this will be best understood by considering the curve as a ...

The course of such a curve is , in common language , well called ' tortuous ; ' and

the measure of the

**corresponding**property is conveniently called Tortuosity . 12 .The nature of this will be best understood by considering the curve as a ...

Page 14

It was shown ( $ 35 ) that an arc of the hodograph represents the change of

velocity of the moving point during the

tangent to the hodograph is parallel to the direction , and the velocity in the

hodograph is ...

It was shown ( $ 35 ) that an arc of the hodograph represents the change of

velocity of the moving point during the

**corresponding**time ; and also that thetangent to the hodograph is parallel to the direction , and the velocity in the

hodograph is ...

Page 17

Hence the arc of Pl , described in any time , is proportional to the

angle - vector in the orbit , i . e . to the angle through which the tangent to PQ has

turned . Hence ( $ 9 ) the curvature of PQ is constant , or P Q is a circle .

Hence the arc of Pl , described in any time , is proportional to the

**corresponding**angle - vector in the orbit , i . e . to the angle through which the tangent to PQ has

turned . Hence ( $ 9 ) the curvature of PQ is constant , or P Q is a circle .

Page 23

In the case of a single simple harmonic motion , the

be that described by the point P in § 66 , if , while e maintained its uniform circular

motion , the circle were to move with uniform velocity in any direction ...

In the case of a single simple harmonic motion , the

**corresponding**curve wouldbe that described by the point P in § 66 , if , while e maintained its uniform circular

motion , the circle were to move with uniform velocity in any direction ...

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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.