The Analytical Theory of Heat |
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Page vi
... nature PAGE 22 22-24 . SECTION II . GENERAL NOTIONS AND PRELIMINARY DEFINITIONS . Permanent temperature , thermometer . The temperature denoted by 0 is that of melting ice . The temperature of water boiling in a given vessel under a ...
... nature PAGE 22 22-24 . SECTION II . GENERAL NOTIONS AND PRELIMINARY DEFINITIONS . Permanent temperature , thermometer . The temperature denoted by 0 is that of melting ice . The temperature of water boiling in a given vessel under a ...
Page xi
... nature of the quantities x , t , v , K , h , C , D , which enter into all the analytical expressions of the Theory of Heat . Each of these quantities has an exponent of dimension which relates to the length , or to the duration , or to ...
... nature of the quantities x , t , v , K , h , C , D , which enter into all the analytical expressions of the Theory of Heat . Each of these quantities has an exponent of dimension which relates to the length , or to the duration , or to ...
Page xvi
... nature of the definite equation , the limits and values of its roots • • 290-292 . Formation of the general solution ; final state of the solid 293. Application to the case in which the sphere has been heated by a pro- longed immersion ...
... nature of the definite equation , the limits and values of its roots • • 290-292 . Formation of the general solution ; final state of the solid 293. Application to the case in which the sphere has been heated by a pro- longed immersion ...
Page xvii
... nature of the definite equation which gives all the values of n • • CHAPTER VI . Of the Movement of Heat in a solid cylinder . 306 , 307. We remark in the first place that the ratio of the variable tem- peratures of two points of the ...
... nature of the definite equation which gives all the values of n • • CHAPTER VI . Of the Movement of Heat in a solid cylinder . 306 , 307. We remark in the first place that the ratio of the variable tem- peratures of two points of the ...
Page xxiii
... nature of the coefficients which enter into the differential equations of the movement of heat • • 464 430. Terminology relative to the general properties of heat 431. Notations proposed ERRATA . Page 9 , line 28 , for III . read IV ...
... nature of the coefficients which enter into the differential equations of the movement of heat • • 464 430. Terminology relative to the general properties of heat 431. Notations proposed ERRATA . Page 9 , line 28 , for III . read IV ...
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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.