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 . 146-154 . It is proved that the variable temperatures at points on the surface of a body , which is cooling in air , satisfy the equation dv M dx + n dv dy + P dz dv + h Kvq = 0 ; mdx + ndy + pdz = 0 , being the differential ...
... SURFACE . 146-154 . It is proved that the variable temperatures at points on the surface of a body , which is cooling in air , satisfy the equation dv M dx + n dv dy + P dz dv + h Kvq = 0 ; mdx + ndy + pdz = 0 , being the differential ...
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
a₁ abscissa action actual temperature analysis arbitrary function axis b₁ becomes body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling cosines curve d'v d'v d²v definite integrals denoting determine different points differential equation 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 temperature instant dt interior maintained mass mathematical analysis molecule movement of heat multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane preceding prism problem propagation of heat quantity of heat radius ratio rays represents result satisfies second member sin x sines source of heat sphere substitute suppose theorems theory of heat thermometer tion upper plane variable 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.