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
a₁ abscissa action actual temperature analysis arbitrary axis b₁ body chaleur co-ordinates coefficients conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v definite integrals denoting determine different points differential equations dimensions distance dv dv dv dx dv dz dx dy dx² dy dz dy² enclosure equa equation dv expressed fixed temperature give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior maintained mass mathematical analysis molecule movement of heat multiple arcs 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 solution source of heat substitute suppose theorems theory of heat thermometer tion unknowns variable vary versin
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Page 469 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 469 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.