The Analytical Theory of Heat |
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Page vi
... less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the extremely small difference of the temperatures , and of a certain function of the distance of the molecules . 41 ᎪᎡᎢ . 60. When a ...
... less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the extremely small difference of the temperatures , and of a certain function of the distance of the molecules . 41 ᎪᎡᎢ . 60. When a ...
Page xiv
... less than a ; and the value of the series is 0 , if x is any quantity included between a and 1⁄4 ” . Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the ...
... less than a ; and the value of the series is 0 , if x is any quantity included between a and 1⁄4 ” . Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the ...
Page 3
... less and less sensible as the point at which they are measured recedes from the surface . No diurnal variation can be detected at the depth of about three metres [ ten feet ] ; and the annual variations cease to be appreciable at a ...
... less and less sensible as the point at which they are measured recedes from the surface . No diurnal variation can be detected at the depth of about three metres [ ten feet ] ; and the annual variations cease to be appreciable at a ...
Page 6
... less rigorously established than the general equations of equilibrium and motion . In order to make this comparison more perceptible , we have always preferred demonstrations ana- logous to those of the theorems which serve as the ...
... less rigorously established than the general equations of equilibrium and motion . In order to make this comparison more perceptible , we have always preferred demonstrations ana- logous to those of the theorems which serve as the ...
Page 14
... less ; and at the same time it is dissipated at the surface , and lost in the medium or in the void . The tendency to uniform dis- tribution and the spontaneous emission which acts at the surface of bodies , change continually the ...
... less ; and at the same time it is dissipated at the surface , and lost in the medium or in the void . The tendency to uniform dis- tribution and the spontaneous emission which acts at the surface of bodies , change continually the ...
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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.