The Analytical Theory of Heat |
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Page xi
... vary • • 126 CHAPTER III . 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 ...
... vary • • 126 CHAPTER III . 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 ...
Page 4
... vary their mean heat ? Why do not the annual changes alone in the distance of the sun from the earth , produce at the surface of the earth very considerable changes in the temperatures ? From what characteristic can we ascertain that ...
... vary their mean heat ? Why do not the annual changes alone in the distance of the sun from the earth , produce at the surface of the earth very considerable changes in the temperatures ? From what characteristic can we ascertain that ...
Page 5
... varying with their inclination ac- cording to a law which experiments have indicated , is there not a necessary mathematical relation between this law and the general fact of the equilibrium of heat ; and what is the physical cause of ...
... varying with their inclination ac- cording to a law which experiments have indicated , is there not a necessary mathematical relation between this law and the general fact of the equilibrium of heat ; and what is the physical cause of ...
Page 15
... vary and diminish incessantly until they have be- come equal to the temperatures of the surrounding medium . 3. Whilst the temperatures are permanent and the source remains , if at every point of the mean circumference of the ring an ...
... vary and diminish incessantly until they have be- come equal to the temperatures of the surrounding medium . 3. Whilst the temperatures are permanent and the source remains , if at every point of the mean circumference of the ring an ...
Page 17
... vary- ing values are functions of the distance x , and of the time t which has elapsed . It is required to determine these functions . 8. If the mass , which has been heated by a long immersion in a medium , and whose rate of cooling we ...
... vary- ing values are functions of the distance x , and of the time t which has elapsed . It is required to determine these functions . 8. If the mass , which has been heated by a long immersion in a medium , and whose rate of cooling we ...
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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.