## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 16

The intensity of heat and light emanating from a point , or from a uniformly

radiating

distance from the centre . Hence the rate at which a planet receives heat and light

from ...

The intensity of heat and light emanating from a point , or from a uniformly

radiating

**spherical**surface , diminishes according to the inverse square of thedistance from the centre . Hence the rate at which a planet receives heat and light

from ...

Page 34

Consider a

All points of this sphere attached to the body will move on a sphere fixed in space

. Hence the construction of § 91 may be made , only with great circles instead ...

Consider a

**spherical**surface within the body , with its centre at the fixed point C .All points of this sphere attached to the body will move on a sphere fixed in space

. Hence the construction of § 91 may be made , only with great circles instead ...

Page 36

This ( as all rolling of cones ) is exhibited best by taking the intersection of each

with a

angular points in succession , always keeping on the

the ...

This ( as all rolling of cones ) is exhibited best by taking the intersection of each

with a

**spherical**surface . Thus we see that if a**spherical**polygon turns about itsangular points in succession , always keeping on the

**spherical**surface , and ifthe ...

Page 43

... and an ellipsoid remains a surface of which every plane section is an ellipse ;

that is , remains an ellipsoid . 141 . The ellipsoid which any surface of the body

initially

... and an ellipsoid remains a surface of which every plane section is an ellipse ;

that is , remains an ellipsoid . 141 . The ellipsoid which any surface of the body

initially

**spherical**becomes in the altered condition , may , to avoid KINEMATICS . Page 65

Also , as will be seen farther on , a perfectly smooth

concentric shells , each of uniform material and density throughout , if made to

revolve about an axis , will , in spite of impressed forces , revolve with uniform ...

Also , as will be seen farther on , a perfectly smooth

**spherical**body , made up ofconcentric shells , each of uniform material and density throughout , if made to

revolve about an axis , will , in spite of impressed forces , revolve with 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.