The Analytical Theory of Heat |
From inside the book
Results 1-5 of 53
Page xi
... vary • 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 , maintained at ...
... vary • 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 , maintained at ...
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 a , 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 a , 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 ...
Contents
1 | |
8 | |
11 | |
13 | |
22 | |
25 | |
31 | |
45 | |
242 | |
258 | |
268 | |
271 | |
274 | |
278 | |
289 | |
291 | |
56 | |
62 | |
74 | |
91 | |
95 | |
98 | |
104 | |
115 | |
126 | |
143 | |
200 | |
213 | |
225 | |
231 | |
299 | |
300 | |
301 | |
311 | |
315 | |
323 | |
329 | |
333 | |
334 | |
344 | |
357 | |
419 | |
450 | |
470 | |
Other editions - View all
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.