The Analytical Theory of Heat |
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Page v
... surface in the interior of the solid , is also a function of the time elapsed , and of quantities which determine the form and position of the surface . The object of the theory is to discover these functions • 11. The three specific ...
... surface in the interior of the solid , is also a function of the time elapsed , and of quantities which determine the form and position of the surface . The object of the theory is to discover these functions • 11. The three specific ...
Page vii
... surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding articles are founded on divers observations . The primary object of the theory is to discover all the exact consequences of these ...
... surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding articles are founded on divers observations . The primary object of the theory is to discover all the exact consequences of these ...
Page ix
... surface and to the initial state of the solid SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER . 118-120 . The temperatures of the solid are determined by three equations ; the first relates to the internal ...
... surface and to the initial state of the solid SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER . 118-120 . The temperatures of the solid are determined by three equations ; the first relates to the internal ...
Page x
... SURFACE . It is proved that the variable temperatures at points on the surface of a body , which is cooling in air , satisfy the equation dv dv dv h m + n + p + vq = 0 ; mdx + ndy + pdz = 0 , dx dy dz K being the differential equation ...
... SURFACE . It is proved that the variable temperatures at points on the surface of a body , which is cooling in air , satisfy the equation dv dv dv h m + n + p + vq = 0 ; mdx + ndy + pdz = 0 , dx dy dz K being the differential equation ...
Page 2
... surfaces , nor to conduct it through the interior of their masses . These are the three specific qualities which our ... surface of the terrestrial globe . 1 Philosophiæ naturalis principia mathematica . Auctoris præfatio ad lectorem ...
... surfaces , nor to conduct it through the interior of their masses . These are the three specific qualities which our ... surface of the terrestrial globe . 1 Philosophiæ naturalis principia mathematica . Auctoris præfatio ad lectorem ...
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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.