## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 78

Page 1

Force is recognized as acting in two ways : 1° so as to compel rest or to prevent

change of motion , and 2° so as to

therefore , is divided into two parts , which are conveniently called STATICS and

...

Force is recognized as acting in two ways : 1° so as to compel rest or to prevent

change of motion , and 2° so as to

**produce**or to change motion . Dynamics ,therefore , is divided into two parts , which are conveniently called STATICS and

...

Page 3

The definition in last section may evidently be extended to a plane polygon , and

the integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , . . all the sides being

The definition in last section may evidently be extended to a plane polygon , and

the integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , . . all the sides being

**produced**each in the ... Page 4

all the sides being

describes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

all the sides being

**produced**each in the direction in which the moving pointdescribes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

Page 14

SZ is inversely as SY , that is , SZ is proportional to the velocity at P . Also B let

the A SZ is perpendicular to the direction of motion PY ,. | Proc . R . S . 1865 .

**Produce**YS to cut the circle again in Z . Then YS SZ is constant , and thereforeSZ is inversely as SY , that is , SZ is proportional to the velocity at P . Also B let

the A SZ is perpendicular to the direction of motion PY ,. | Proc . R . S . 1865 .

Page 15

But if another point U be taken in YS

locus of U is easily seen to be a circle . Hence the proposition is generally true for

all conic sections . The hodograph surrounds its origin if the orbit be an ellipse ...

But if another point U be taken in YS

**produced**, so that YS SU is constant , thelocus of U is easily seen to be a circle . Hence the proposition is generally true for

all conic sections . The hodograph surrounds its origin if the orbit be an ellipse ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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.