The Analytical Theory of Heat |
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Page xii
... this plane 200-204 . It is proved that the problem proposed admits of no other solu- tion different from that which we have just stated • • • 159 • • 161 ART . SECTION V. FINITE EXPRESSION OF THE RESULT OF xii TABLE OF CONTENTS .
... this plane 200-204 . It is proved that the problem proposed admits of no other solu- tion different from that which we have just stated • • • 159 • • 161 ART . SECTION V. FINITE EXPRESSION OF THE RESULT OF xii TABLE OF CONTENTS .
Page xvi
... result 274-276 . Application and consequences of this solution 277 , 278. Examination of the case in which the ... results 280-282 . It is proved that the problem of the movement of heat in a ring admits no other solution . The integral ...
... result 274-276 . Application and consequences of this solution 277 , 278. Examination of the case in which the ... results 280-282 . It is proved that the problem of the movement of heat in a ring admits no other solution . The integral ...
Page xx
... result is not due to the increase of the distance included between any point of the mass and the part which has been heated ; it is entirely due to the increase of the time elapsed . In all problems submitted to analysis , the expo ...
... result is not due to the increase of the distance included between any point of the mass and the part which has been heated ; it is entirely due to the increase of the time elapsed . In all problems submitted to analysis , the expo ...
Page 24
... results , such as the isochronism of oscillations , the multiple resonance of sonorous bodies . Common experiments had made these results remarked , and analysis afterwards demonstrated their true cause . As to those results which ...
... results , such as the isochronism of oscillations , the multiple resonance of sonorous bodies . Common experiments had made these results remarked , and analysis afterwards demonstrated their true cause . As to those results which ...
Page 25
... results and all the chief elements of general analysis in the vibrations of elastic media , in the properties of lines or ... result from the influence of heat combined with that of gravity . The same principles will serve to measure the ...
... results and all the chief elements of general analysis in the vibrations of elastic media , in the properties of lines or ... result from the influence of heat combined with that of gravity . The same principles will serve to measure the ...
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Common terms and phrases
2kt versin a₁ abscissa action actual temperature analysis arbitrary function axis b₁ b₂ body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v d²v definite integrals denoting determine different points differential equations distance dv dv dv dx dx² enclosure equation dv expressed fixed temperature function f(x give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior layers maintained mass mathematical analysis molecules movement of heat multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays represented result satisfies second member sin x sines source of heat sphere substitute suppose theorems theory of heat thermometer unit of surface unknown variable vary
Popular passages
Page 470 - Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.' Falling at a time when the formal revision of this version, has been undertaken by a distinguished company of scholars and divines, the publication of this edition must be considered most opportune.