The Analytical Theory of Heat |
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Page x
... common flow is that which would exist , if the coefficients a and b were nul • · dz PAGE • 104 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being v = f ( x , y , z , t ) ...
... common flow is that which would exist , if the coefficients a and b were nul • · dz PAGE • 104 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being v = f ( x , y , z , t ) ...
Page 6
... common observations confirmed by all experiment . The differential equations of the propagation of heat express the most general conditions , and reduce the physical questions to problems of pure analysis , and this is the proper object ...
... common observations confirmed by all experiment . The differential equations of the propagation of heat express the most general conditions , and reduce the physical questions to problems of pure analysis , and this is the proper object ...
Page 12
... common to many classes of phenomena . For all substances , solid or liquid , for vapours and permanent gases , determinations will be made of all the specific qualities relating to heat , and of the variations of the coefficients which ...
... common to many classes of phenomena . For all substances , solid or liquid , for vapours and permanent gases , determinations will be made of all the specific qualities relating to heat , and of the variations of the coefficients which ...
Page 18
... common and permanent temperature . It is not the same with a section distant from the source of heat ; each of the points of this rectangular surface parallel to the base has acquired a fixed temperature , but this is not the same at ...
... common and permanent temperature . It is not the same with a section distant from the source of heat ; each of the points of this rectangular surface parallel to the base has acquired a fixed temperature , but this is not the same at ...
Page 20
... of repeated observations . These we can now submit to calculation , and from a common theory derive all the particular facts which experience has taught us . The problem is reducible to the 20 [ CHAP . I. THEORY OF HEAT .
... of repeated observations . These we can now submit to calculation , and from a common theory derive all the particular facts which experience has taught us . The problem is reducible to the 20 [ CHAP . I. THEORY OF HEAT .
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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.