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
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . heat , 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 ...
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . heat , 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 ...
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
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.