## Elements of Natural Philosophy, Volume 1 |

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Page 43

Any such definite alteration of form or dimensions is called a

which becomes ... A ship is said to '

heavy sea , the different parts of it experience relative motions . 136 . If , when the

...

Any such definite alteration of form or dimensions is called a

**Stràin**. Thus a rodwhich becomes ... A ship is said to '

**strain**' if , in launching , or when working in aheavy sea , the different parts of it experience relative motions . 136 . If , when the

...

Page 44

becomes in the altered condition , may , to avoid circumlocutions , be called the

are three directions ( the three principal axes of the

becomes in the altered condition , may , to avoid circumlocutions , be called the

**Strain**Ellipsoid . 142 . In any absolutely unrestricted homogeneous**strain**thereare three directions ( the three principal axes of the

**strain**ellipsoid ) , at right ... Page 45

to the analysis of the most general character of a

to be no alteration of volume on the whole , and neither elongation nor

contraction along the mean principal axis . Let OX and OZ be the directions of

maximum ...

to the analysis of the most general character of a

**strain**. First let us suppose thereto be no alteration of volume on the whole , and neither elongation nor

contraction along the mean principal axis . Let OX and OZ be the directions of

maximum ...

Page 46

This kind of

perpendicular to the undistorted planes , and parallel to the lines of the relative

motion . It has ( 1 ) the property that one set of parallel planes remain each

unaltered in ...

This kind of

**strain**is called a simple shear . The plane of a shear is a planeperpendicular to the undistorted planes , and parallel to the lines of the relative

motion . It has ( 1 ) the property that one set of parallel planes remain each

unaltered in ...

Page 47

The planes of no distortion in a simple shear are clearly the circular sections of

the

axis remains unaltered , and is a mean proportional between the greatest and the

...

The planes of no distortion in a simple shear are clearly the circular sections of

the

**strain**ellipsoid . In the ellipsoid of this case , be it remembered , the meanaxis remains unaltered , and is a mean proportional between the greatest and the

...

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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.