The Analytical Theory of Heat |
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Page vi
... heat . • 27-29 . Temperatures measured by increments of volume or by the addi- tional quantities of heat . Those cases only are here considered , in which the increments of volume are proportional to the increments of the quantity of heat ...
... heat . • 27-29 . Temperatures measured by increments of volume or by the addi- tional quantities of heat . Those cases only are here considered , in which the increments of volume are proportional to the increments of the quantity of heat ...
Page vii
... quantity of heat which may be regarded in the first researches as proportional to the excess of the temperature of the surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding articles are ...
... quantity of heat which may be regarded in the first researches as proportional to the excess of the temperature of the surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding articles are ...
Page x
... heat as it gives off . The quantity of heat which during the unit of time crosses a plane at right angles to the axis of z is the same , through whatever point of that axis the plane passes . The value of this common flow is that which ...
... heat as it gives off . The quantity of heat which during the unit of time crosses a plane at right angles to the axis of z is the same , through whatever point of that axis the plane passes . The value of this common flow is that which ...
Page 16
... quantity v will be a certain function F ( x , t ) of the distance and the ... heat will begin to be dissi- pated at its surface ; the temperatures at ... heat to the layer which surrounds it . If it be imagined that each molecule carries ...
... quantity v will be a certain function F ( x , t ) of the distance and the ... heat will begin to be dissi- pated at its surface ; the temperatures at ... heat to the layer which surrounds it . If it be imagined that each molecule carries ...
Page 17
... quantity of heat escapes , at each instant , through the external surface , and passes into the medium . The value of this quantity is not constant ; it is greatest at the beginning of the cooling . If however we consider the variable ...
... quantity of heat escapes , at each instant , through the external surface , and passes into the medium . The value of this quantity is not constant ; it is greatest at the beginning of the cooling . If however we consider the variable ...
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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.