The Analytical Theory of Heat |
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Page xxii
... represents a periodic function 419. The chief character of the theorem expressed by equation ( B ) consists in this , that the sign ƒ of the function is transferred to another unknown a , and that the chief variable x is only under the ...
... represents a periodic function 419. The chief character of the theorem expressed by equation ( B ) consists in this , that the sign ƒ of the function is transferred to another unknown a , and that the chief variable x is only under the ...
Page xxiii
... represents at the same time the composition of simple movements , and that of an infinity of partial effects , due to the action of all points of the solid . 428. General remarks on the method which has served to solve the analytical ...
... represents at the same time the composition of simple movements , and that of an infinity of partial effects , due to the action of all points of the solid . 428. General remarks on the method which has served to solve the analytical ...
Page 7
... represents as well the motion of light in the atmosphere , as it determines the laws of diffusion of heat in solid matter , and enters into all the chief problems of the theory of probability . The analytical equations , unknown to the ...
... represents as well the motion of light in the atmosphere , as it determines the laws of diffusion of heat in solid matter , and enters into all the chief problems of the theory of probability . The analytical equations , unknown to the ...
Page 16
... represents the permanent state of the solid . Consider next the variable state which succeeds to the former state as ... represented by the variable system of all these thermometric heights . It is required to express the successive ...
... represents the permanent state of the solid . Consider next the variable state which succeeds to the former state as ... represented by the variable system of all these thermometric heights . It is required to express the successive ...
Page 28
... represents the excess of its actual volume over the volume which it would occupy at the temperature of melting ice , unity representing the whole excess of volume which corresponds to the boiling point of water , over the volume which ...
... represents the excess of its actual volume over the volume which it would occupy at the temperature of melting ice , unity representing the whole excess of volume which corresponds to the boiling point of water , over the volume which ...
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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.