The Analytical Theory of Heat |
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Page xix
... give to x a value included between 1 and -1 . The definite integral has a nul value , if x is not included between 1 and -1 . · 349. Application to the case in which the heating given results from the final state which the action of a ...
... give to x a value included between 1 and -1 . The definite integral has a nul value , if x is not included between 1 and -1 . · 349. Application to the case in which the heating given results from the final state which the action of a ...
Page 20
... give clearness and perfection to the practice of the numerous arts which are founded on the employ- ment of heat . 12. The problem of the terrestrial temperatures presents one of the most beautiful applications of the theory of heat ...
... give clearness and perfection to the practice of the numerous arts which are founded on the employ- ment of heat . 12. The problem of the terrestrial temperatures presents one of the most beautiful applications of the theory of heat ...
Page 21
... give to every application of analysis to the natural sciences . So long as it is not obtained , the solutions may be said to remain in- complete and useless , and the truth which it is proposed to discover is no less hidden in the ...
... give to every application of analysis to the natural sciences . So long as it is not obtained , the solutions may be said to remain in- complete and useless , and the truth which it is proposed to discover is no less hidden in the ...
Page 26
... give exact definitions of all the elements of the analysis , and to establish the principles upon which this ... gives evidence of its presence . Solids and liquids increase in volume , if the quantity of heat which they contain ...
... give exact definitions of all the elements of the analysis , and to establish the principles upon which this ... gives evidence of its presence . Solids and liquids increase in volume , if the quantity of heat which they contain ...
Page 31
... give its definition and exact measure , after having treated of the uniform and linear pro- pagation of heat . Liquid substances possess also the property of transmitting heat from molecule to molecule , and the numerical value of their ...
... give its definition and exact measure , after having treated of the uniform and linear pro- pagation of heat . Liquid substances possess also the property of transmitting heat from molecule to molecule , and the numerical value of their ...
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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.