The Analytical Theory of Heat |
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Page xx
... depends not upon the distribution of the initial heat , but simply upon its quantity . The last result is not due to the increase of the distance included between any point of the mass and the part which has been heated ; it is entirely ...
... depends not upon the distribution of the initial heat , but simply upon its quantity . The last result is not due to the increase of the distance included between any point of the mass and the part which has been heated ; it is entirely ...
Page 2
... depend on this action resolve themselves into a very small number of general and simple facts ; whereby every physical problem of this kind is brought back to an investiga- tion of mathematical analysis . From these general facts I have ...
... depend on this action resolve themselves into a very small number of general and simple facts ; whereby every physical problem of this kind is brought back to an investiga- tion of mathematical analysis . From these general facts I have ...
Page 5
... depend on the properties of radiant heat . The physical cause of the re- flection of cold , that is to say the reflection of a lesser degree of heat , is very distinctly known ; but what is the mathematical expression of this effect ...
... depend on the properties of radiant heat . The physical cause of the re- flection of cold , that is to say the reflection of a lesser degree of heat , is very distinctly known ; but what is the mathematical expression of this effect ...
Page 9
... depend on our- selves , the necessary development of principles with the precision which becomes the applications of analysis . The subjects of these memoirs will be , the theory of radiant heat , the problem of the terrestrial ...
... depend on our- selves , the necessary development of principles with the precision which becomes the applications of analysis . The subjects of these memoirs will be , the theory of radiant heat , the problem of the terrestrial ...
Page 19
... depend in the case of every solid substance , on three elementary qualities , which are , its capa- city for heat ... depends on the facility with which heat penetrates the surface , and passes from this body into a given medium , or ...
... depend in the case of every solid substance , on three elementary qualities , which are , its capa- city for heat ... depends on the facility with which heat penetrates the surface , and passes from this body into a given medium , or ...
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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.