The Analytical Theory of Heat |
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Page vi
... direction makes with the normal to the surface . Divers remarks , and considerations on the object and extent of thermological problems , and on the relations of general analysis with the study of nature . PAGE 22 26 • 22 27 ib . 22-24 ...
... direction makes with the normal to the surface . Divers remarks , and considerations on the object and extent of thermological problems , and on the relations of general analysis with the study of nature . PAGE 22 26 • 22 27 ib . 22-24 ...
Page viii
... direction within the solid 100. Application of the preceding theorem to the case in which the function F is e- cos x cos y cos z • • 78 82 CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF ...
... direction within the solid 100. Application of the preceding theorem to the case in which the function F is e- cos x cos y cos z • • 78 82 CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF ...
Page 3
... direction every way , and , penetrating the mass of the globe , would raise its mean tem- perature more and more , if the heat acquired were not exactly balanced by that which escapes in rays from all points of the surface and expands ...
... direction every way , and , penetrating the mass of the globe , would raise its mean tem- perature more and more , if the heat acquired were not exactly balanced by that which escapes in rays from all points of the surface and expands ...
Page 13
... directions . 1817. VI . pp . 259-303 . Questions sur la théorie physique de la chaleur rayonnante . An elegant physical treatise on the discoveries of Newton , Pictet , Wells , Wollaston , Leslie and Prevost . 1820. XIII . pp . 418-438 ...
... directions . 1817. VI . pp . 259-303 . Questions sur la théorie physique de la chaleur rayonnante . An elegant physical treatise on the discoveries of Newton , Pictet , Wells , Wollaston , Leslie and Prevost . 1820. XIII . pp . 418-438 ...
Page 22
... directions from any point in the surface of a heated body , depend on the angles which their directions make with the surface at the same point . We have proved that the intensity of a ray diminishes as the ray makes a smaller angle ...
... directions from any point in the surface of a heated body , depend on the angles which their directions make with the surface at the same point . We have proved that the intensity of a ray diminishes as the ray makes a smaller angle ...
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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.