The Analytical Theory of Heat |
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Page x
... consider a molecule of the envelop which bounds the solid , and we express the fact that the temperature of this element does not change by a finite magnitude during an infinitely small instant . This condition holds and continues to ...
... consider a molecule of the envelop which bounds the solid , and we express the fact that the temperature of this element does not change by a finite magnitude during an infinitely small instant . This condition holds and continues to ...
Page xi
... consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x1 and x , preserving ...
... consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x1 and x , preserving ...
Page xviii
... consider the linear movement of heat in an infinite line , a part of which has been heated ; the initial state is represented by v = F ( x ) . The following theorem is proved : | ; F ( x ) = dq cos qx fo da F ( a ) cos qa . 0 ART . The ...
... consider the linear movement of heat in an infinite line , a part of which has been heated ; the initial state is represented by v = F ( x ) . The following theorem is proved : | ; F ( x ) = dq cos qx fo da F ( a ) cos qa . 0 ART . The ...
Page 2
... consider the grand phenomena which take place near the surface of the terrestrial globe . 1 Philosophiæ naturalis principia mathematica . Auctoris præfatio ad lectorem . Ao gloriatur geometria quod tam paucis principiis aliunde petitis ...
... consider the grand phenomena which take place near the surface of the terrestrial globe . 1 Philosophiæ naturalis principia mathematica . Auctoris præfatio ad lectorem . Ao gloriatur geometria quod tam paucis principiis aliunde petitis ...
Page 6
... consider further the manifold relations of this mathematical theory to civil uses and the technical arts , we shall recognize completely the extent of its applications . It is evident that it includes an entire series of distinct ...
... consider further the manifold relations of this mathematical theory to civil uses and the technical arts , we shall recognize completely the extent of its applications . It is evident that it includes an entire series of distinct ...
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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.