The Analytical Theory of Heat |
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Page vi
... extremely near and at unequal temperatures , the most heated molecule communicates to that which is less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the extremely small difference of ...
... extremely near and at unequal temperatures , the most heated molecule communicates to that which is less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the extremely small difference of ...
Page xx
... extremely small . . 376 383-385 . The same remarks apply to the distribution of heat in an infinite solid . · 382 SECTION III . THE HIGHEST TEMPERATURES IN AN INFINITE SOLID . 386 , 387. The heat contained in part of the prism ...
... extremely small . . 376 383-385 . The same remarks apply to the distribution of heat in an infinite solid . · 382 SECTION III . THE HIGHEST TEMPERATURES IN AN INFINITE SOLID . 386 , 387. The heat contained in part of the prism ...
Page 30
... extremely small , receive no direct heat ; it is not the same with aëriform fluids ; in these the rays of heat are borne with extreme rapidity to considerable distances , whether it be that part of these rays traverses freely the layers ...
... extremely small , receive no direct heat ; it is not the same with aëriform fluids ; in these the rays of heat are borne with extreme rapidity to considerable distances , whether it be that part of these rays traverses freely the layers ...
Page 34
... extremely small distance only ; it is , we may say , intercepted by the nearest particles ; these parti- cles only receive the heat directly and act on more distant points . It is different with gaseous fluids ; the direct effects of ...
... extremely small distance only ; it is , we may say , intercepted by the nearest particles ; these parti- cles only receive the heat directly and act on more distant points . It is different with gaseous fluids ; the direct effects of ...
Page 41
... extremely small distances , or will communicate it to them . This action exerted during the same instant between all points of the mass , will produce an infinitesi- mal resultant change in all the temperatures : the solid will ex ...
... extremely small distances , or will communicate it to them . This action exerted during the same instant between all points of the mass , will produce an infinitesi- mal resultant change in all the temperatures : the solid will ex ...
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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.