The Analytical Theory of Heat |
From inside the book
Results 1-5 of 45
Page x
... perpendicular to the axis of z , at the point whose coordinates are x , y , z , and whose temperature is v after the time t has elapsed • 142-145 . It is easy to derive from the foregoing theorem the general equation of the movement of ...
... perpendicular to the axis of z , at the point whose coordinates are x , y , z , and whose temperature is v after the time t has elapsed • 142-145 . It is easy to derive from the foregoing theorem the general equation of the movement of ...
Page xii
... perpendicular to the base . This expression of the flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution expresses the ...
... perpendicular to the base . This expression of the flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution expresses the ...
Page 15
... perpendicular to the plane of the ring , whose length is proportional to the fixed temperature at that point , the curved line which passes through the ends of these ordinates will represent the permanent state of the temperatures , and ...
... perpendicular to the plane of the ring , whose length is proportional to the fixed temperature at that point , the curved line which passes through the ends of these ordinates will represent the permanent state of the temperatures , and ...
Page 17
... perpendicular to the faces , we see that the temperature v of the point m after the time t , is a func- tion of the four variables x , y , z , and t . The quantities of heat F. H. 2 which flow out at each instant through the whole ...
... perpendicular to the faces , we see that the temperature v of the point m after the time t , is a func- tion of the four variables x , y , z , and t . The quantities of heat F. H. 2 which flow out at each instant through the whole ...
Page 18
... the permanent state of the rectangular prism , flows , during a unit of time , across a certain section perpendicular to the axis , has a determinate ratio to the quantity of heat taken as unit . This 18 [ CHAP . I. THEORY OF HEAT .
... the permanent state of the rectangular prism , flows , during a unit of time , across a certain section perpendicular to the axis , has a determinate ratio to the quantity of heat taken as unit . This 18 [ CHAP . I. THEORY OF HEAT .
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.