## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 79

Page 4

... which are in general extremely

easy , geometrical problems occur in ... as being excessively difficult in their

general development , and too

explanation .

... which are in general extremely

**simple**; although curious , and not always veryeasy , geometrical problems occur in ... as being excessively difficult in their

general development , and too

**simple**in the ordinary cases to requireexplanation .

Page 7

... give nearer and nearer approximations to the velocity at the beginning of the

first second . The whole foundation of Newton ' s differential calculus is , in fact ,

contained in the

by ...

... give nearer and nearer approximations to the velocity at the beginning of the

first second . The whole foundation of Newton ' s differential calculus is , in fact ,

contained in the

**simple**question , What is the rate at which the space describedby ...

Page 16

Hence the rate at which a planet receives heat and light from the sun varies in

heat and light received by the planet in any time is proportional to the whole

angle ...

Hence the rate at which a planet receives heat and light from the sun varies in

**simple**proportion to the angular velocity of the radius - vector . Hence the wholeheat and light received by the planet in any time is proportional to the whole

angle ...

Page 18

Thus , to take a very

directions , say north and south , one with a velocity of fifty , the other of thirty ,

miles an hour . The relative velocity of the second with regard to the first is to be

found by ...

Thus , to take a very

**simple**example , two trains are running in oppositedirections , say north and south , one with a velocity of fifty , the other of thirty ,

miles an hour . The relative velocity of the second with regard to the first is to be

found by ...

Page 19

The following practical methods of effecting such a combination in the

case of the movements of two points are useful in scientific illustrations and in

certain mechanical arrangements . Let two moving points be joined by a uniform

...

The following practical methods of effecting such a combination in the

**simple**case of the movements of two points are useful in scientific illustrations and in

certain mechanical arrangements . Let two moving points be joined by a uniform

...

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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.