The Analytical Theory of Heat |
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Page vi
... variable . Luminous heat • 23 ib . 31 · 2223 ib . 37. Notion of the conducibility proper . This property also may be observed in liquids . · 38 , 39. Equilibrium of temperatures . The effect is independent of contact . 40–49 . First ...
... variable . Luminous heat • 23 ib . 31 · 2223 ib . 37. Notion of the conducibility proper . This property also may be observed in liquids . · 38 , 39. Equilibrium of temperatures . The effect is independent of contact . 40–49 . First ...
Page viii
... variable system of temperatures of a solid is supposed to be expressed by the equation v = F ( x , y , z , t ) , where v denotes the variable temperature which would be observed after the time t had elapsed , at the point whose ...
... variable system of temperatures of a solid is supposed to be expressed by the equation v = F ( x , y , z , t ) , where v denotes the variable temperature which would be observed after the time t had elapsed , at the point whose ...
Page ix
... variable temperatures is determined by three equations ; one expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. • 16 97 66 99 . 101 SECTION VI . ᎪᎡᎢ ...
... variable temperatures is determined by three equations ; one expresses the internal state , the second relates to the state of the surface , and the third expresses the initial state F. H. • 16 97 66 99 . 101 SECTION VI . ᎪᎡᎢ ...
Page xv
... variable movement which we are considering is composed of simple movements . In each of these movements , the ... variable temperatures . Remark on the value of the coefficient which measures the conducibility 251-255 . Of the ...
... variable movement which we are considering is composed of simple movements . In each of these movements , the ... variable temperatures . Remark on the value of the coefficient which measures the conducibility 251-255 . Of the ...
Page xvi
... variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of heat in the ...
... variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of heat in the ...
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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
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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.