The Analytical Theory of Heat |
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Page ix
... expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. • 16 97 66 99 . 101 SECTION VI . ᎪᎡᎢ . GENERAL EQUATION OF THE PROPAGATION TABLE OF CONTENTS . ix.
... expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. • 16 97 66 99 . 101 SECTION VI . ᎪᎡᎢ . GENERAL EQUATION OF THE PROPAGATION TABLE OF CONTENTS . ix.
Page x
... PROPAGATION OF HEAT IN THE INTERIOR OF SOLIDS . 132-139 . Elementary proof of properties of the uniform movement of heat in a solid enclosed between six orthogonal planes , the constant tem- peratures being expressed by the linear ...
... PROPAGATION OF HEAT IN THE INTERIOR OF SOLIDS . 132-139 . Elementary proof of properties of the uniform movement of heat in a solid enclosed between six orthogonal planes , the constant tem- peratures being expressed by the linear ...
Page xi
... Propagation of Heat in an infinite rectangular solid . SECTION I. STATEMENT OF THE PROBLEM . 163-166 . The constant temperatures of a rectangular plate included be- tween two parallel infinite sides , maintained at the temperature 0 ...
... Propagation of Heat in an infinite rectangular solid . SECTION I. STATEMENT OF THE PROBLEM . 163-166 . The constant temperatures of a rectangular plate included be- tween two parallel infinite sides , maintained at the temperature 0 ...
Page xvi
... Propagation of Heat in a solid sphere . SECTION I. GENERAL SOLUTION . 283-289 . The ratio of the variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't ...
... Propagation of Heat in a solid sphere . SECTION I. GENERAL SOLUTION . 283-289 . The ratio of the variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't ...
Page xvii
... · · 308 · 309 315-318 . Statement of the analysis which determines the values of the co- efficients 319 . • General solution 320. Consequences of the solution . ART . CHAPTER VII . Propagation of Heat in a TABLE OF CONTENTS . xvii.
... · · 308 · 309 315-318 . Statement of the analysis which determines the values of the co- efficients 319 . • General solution 320. Consequences of the solution . ART . CHAPTER VII . Propagation of Heat in a TABLE OF CONTENTS . xvii.
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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.