The Analytical Theory of Heat |
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Page v
... external conducibility or penetrability . The coefficients which express them may be regarded at first as constant numbers , independent of the temperatures PAGE 1 14 15 19 20 21 • 12. First statement of the problem of the terrestrial ...
... external conducibility or penetrability . The coefficients which express them may be regarded at first as constant numbers , independent of the temperatures PAGE 1 14 15 19 20 21 • 12. First statement of the problem of the terrestrial ...
Page vi
... external conducibility 31. We may at first regard the quantity of heat lost as proportional to the temperature . This proposition is not sensibly true except for certain limits of temperature 26 26 27 ib . 28 8888 ib . 29 36. Measure of ...
... external conducibility 31. We may at first regard the quantity of heat lost as proportional to the temperature . This proposition is not sensibly true except for certain limits of temperature 26 26 27 ib . 28 8888 ib . 29 36. Measure of ...
Page vii
... external air , g , h , H measure respectively the penetrability of the heated surface σ , that of the inner surface of the boundary s , and that of the external surfaces ; e is the thickness of the boundary , and K its conducibility ...
... external air , g , h , H measure respectively the penetrability of the heated surface σ , that of the inner surface of the boundary s , and that of the external surfaces ; e is the thickness of the boundary , and K its conducibility ...
Page 15
... external surface of the ring . If now the source be suppressed , heat will continue to be propagated in the interior of the solid , but that which is lost in the medium or the void , will no longer be compensated as formerly by the ...
... external surface of the ring . If now the source be suppressed , heat will continue to be propagated in the interior of the solid , but that which is lost in the medium or the void , will no longer be compensated as formerly by the ...
Page 16
... external sur- face , each of those layers will transmit , at each instant , a certain quantity of heat to the layer which surrounds it . If it be imagined that each molecule carries a separate thermometer , which indicates its ...
... external sur- face , each of those layers will transmit , at each instant , a certain quantity of heat to the layer which surrounds it . If it be imagined that each molecule carries a separate thermometer , which indicates its ...
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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.