The Analytical Theory of Heat |
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Page 2
... mathematical analysis . From these general facts I have concluded that to determine numerically the most varied move- ments of heat , it is sufficient to submit each substance to three fundamental observations . Different bodies in fact ...
... mathematical analysis . From these general facts I have concluded that to determine numerically the most varied move- ments of heat , it is sufficient to submit each substance to three fundamental observations . Different bodies in fact ...
Page 4
... mathematical expression of those laws , and by what analysis may we derive from this expression the complete solution of the principal problems ? Why do terrestrial temperatures cease to be variable at a depth so small with respect to ...
... mathematical expression of those laws , and by what analysis may we derive from this expression the complete solution of the principal problems ? Why do terrestrial temperatures cease to be variable at a depth so small with respect to ...
Page 6
... mathematical theory to civil uses and the technical arts , we shall ... analysis , and this is the proper object of theory . They are not less ... analysis , which it is very important to perfect . After having established these ...
... mathematical theory to civil uses and the technical arts , we shall ... analysis , and this is the proper object of theory . They are not less ... analysis , which it is very important to perfect . After having established these ...
Page 7
... analysis and dynamics whose solution has for a long time been desired . Profound study of nature is the most fertile ... mathematical analysis is as extensive as nature itself ; it defines all perceptible relations , measures times ...
... analysis and dynamics whose solution has for a long time been desired . Profound study of nature is the most fertile ... mathematical analysis is as extensive as nature itself ; it defines all perceptible relations , measures times ...
Page 8
... mathematical analysis can yet lay hold of the laws of these phenomena . It makes them present and measurable , and seems to be a faculty of the human mind destined to supplement the shortness of life and the imperfec- tion of the senses ...
... mathematical analysis can yet lay hold of the laws of these phenomena . It makes them present and measurable , and seems to be a faculty of the human mind destined to supplement the shortness of life and the imperfec- tion of the senses ...
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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.