The Analytical Theory of Heat |
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Page x
... differential equation of the surface which bounds the solid , and q being equal to ( m2 + n2 + p2 ) . To discover this equation we consider a molecule of the envelop which bounds the solid , and we express the fact that the temperature ...
... differential equation of the surface which bounds the solid , and q being equal to ( m2 + n2 + p2 ) . To discover this equation we consider a molecule of the envelop which bounds the solid , and we express the fact that the temperature ...
Page xv
... Differential equations suitable to the problem ; integration of these equations . The variable temperature of each of the masses is ex- pressed as a function of the coefficient which measures the conducibility , of the time which has ...
... Differential equations suitable to the problem ; integration of these equations . The variable temperature of each of the masses is ex- pressed as a function of the coefficient which measures the conducibility , of the time which has ...
Page xvii
... differential equation of the second order . A number g enters into this function , and must satisfy a definite equation · • 291 · . 294 308 , 309. Analysis of this equation . By means of the principal theorems of algebra , it is proved ...
... differential equation of the second order . A number g enters into this function , and must satisfy a definite equation · • 291 · . 294 308 , 309. Analysis of this equation . By means of the principal theorems of algebra , it is proved ...
Page xx
... differential equation dv dev d2v dev + + dt dx dy2 dz2 ' and if at the same time they have the same value for a certain value of t . • · . 368 377-382 . The heat contained in a part of an infinite prism , all the other points of which ...
... differential equation dv dev d2v dev + + dt dx dy2 dz2 ' and if at the same time they have the same value for a certain value of t . • · . 368 377-382 . The heat contained in a part of an infinite prism , all the other points of which ...
Page xxiii
... differential equations of the movement of heat • ERRATA . Page 9 , line 28 , for III . read IV . Pages 54 , 55 , for k read K. Page 189 , line 2 , The equation should be denoted ( A ) . Page 205 , last line but one , for x read X. du dr ...
... differential equations of the movement of heat • ERRATA . Page 9 , line 28 , for III . read IV . Pages 54 , 55 , for k read K. Page 189 , line 2 , The equation should be denoted ( A ) . Page 205 , last line but one , for x read X. du dr ...
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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.