## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 1

The science which investigates the

writers , DYNAMICS . It is commonly , but erroneously , called MECHANICS ; a

term employed by Newton in its true sense , the Science of Machines , and the art

...

The science which investigates the

**action**of Force is called , by the most logicalwriters , DYNAMICS . It is commonly , but erroneously , called MECHANICS ; a

term employed by Newton in its true sense , the Science of Machines , and the art

...

Page 2

If the motion be that of a material particle , however , there can be no abrupt

change of velocity , nor of direction unless where the velocity is zero , since ( as

we shall afterwards see ) such would imply the

useful to ...

If the motion be that of a material particle , however , there can be no abrupt

change of velocity , nor of direction unless where the velocity is zero , since ( as

we shall afterwards see ) such would imply the

**action**of an infinite force . It isuseful to ...

Page 11

This is the case of a body falling vertically in vacuo under the

this case the space described in any interval is that which would be described in

the same time by a point moving uniformly with a velocity equal to that at the ...

This is the case of a body falling vertically in vacuo under the

**action**of gravity . Inthis case the space described in any interval is that which would be described in

the same time by a point moving uniformly with a velocity equal to that at the ...

Page 35

... a point , produces a change in the direction of motion , but does not influence

the velocity ; so , if a body be rotating about an axis , and be subjected to an

KINEMATICS .

... a point , produces a change in the direction of motion , but does not influence

the velocity ; so , if a body be rotating about an axis , and be subjected to an

**action**tending to produce rotation about a perpendicular axis , the D 2KINEMATICS .

Page 49

As there can be neither annihilation nor generation of matter in any natural

motion or

be equal to the quantity originally in that space , increased by the whole quantity

that ...

As there can be neither annihilation nor generation of matter in any natural

motion or

**action**, the whole quantity of a fluid within any space at any time mustbe equal to the quantity originally in that space , increased by the whole quantity

that ...

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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.