The Analytical Theory of Heat |
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Page ix
... equations ; one expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. 101 • • b ART . SECTION VI . GENERAL EQUATION OF THE PROPAGATION TABLE OF CONTENTS . ix .
... equations ; one expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. 101 • • b ART . SECTION VI . 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
... . 300 301 315-318 . Statement of the analysis which determines the values of the co- efficients 303 319 . General solution 308 320. Consequences of the solution . 309 ART . CHAPTER VII . Propagation of Heat in a TABLE OF CONTENTS . xvii.
... . 300 301 315-318 . Statement of the analysis which determines the values of the co- efficients 303 319 . General solution 308 320. Consequences of the solution . 309 ART . CHAPTER VII . Propagation of Heat in a TABLE OF CONTENTS . xvii.
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Common terms and phrases
a₁ abscissa action actual temperature analysis arbitrary axis b₁ body chaleur co-ordinates coefficients conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v definite integrals denoting determine different points differential equations dimensions distance dv dv dv dx dv dz dx dy dx² dy dz dy² enclosure equa equation dv expressed fixed temperature give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior maintained mass mathematical analysis molecule movement of heat multiple arcs 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 solution source of heat substitute suppose theorems theory of heat thermometer tion unknowns variable vary versin
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Page 469 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 469 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.