The Analytical Theory of Heat |
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Page vii
... flow of heat 68 , 69. Measure of the conducibility proper . 70. Remarks on the case in which the direct action of the heat extends to a sensible distance • · 45 48 1 51 · • 71. State of the same solid when the upper plane is exposed to ...
... flow of heat 68 , 69. Measure of the conducibility proper . 70. Remarks on the case in which the direct action of the heat extends to a sensible distance • · 45 48 1 51 · • 71. State of the same solid when the upper plane is exposed to ...
Page viii
... flow of heat in this prism • 67 73 3123 75 SECTION VIII . MEASURE OF THE MOVEMENT OF HEAT AT A GIVEN POINT OF A GIVEN SOLID . 96-99 . The variable system of temperatures of a solid is supposed to be expressed by the equation v = F ( x ...
... flow of heat in this prism • 67 73 3123 75 SECTION VIII . MEASURE OF THE MOVEMENT OF HEAT AT A GIVEN POINT OF A GIVEN SOLID . 96-99 . The variable system of temperatures of a solid is supposed to be expressed by the equation v = F ( x ...
Page x
... flow is that which would exist , if the coefficients a and b were nul · 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being r = f ( x , y , z , t ) the function - Kw dz ...
... flow is that which would exist , if the coefficients a and b were nul · 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being r = f ( x , y , z , t ) the function - Kw dz ...
Page xii
... flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution expresses the permanent temperatures at all points of this plane ...
... flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution expresses the permanent temperatures at all points of this plane ...
Page 17
... flow during the same instant , between two adjacent layers , or into the surrounding medium . 6. If the mass is spherical , and we denote by a the distance of a point of this mass from the centre of the sphere , by t the time which has ...
... flow during the same instant , between two adjacent layers , or into the surrounding medium . 6. If the mass is spherical , and we denote by a the distance of a point of this mass from the centre of the sphere , by t the time which has ...
Contents
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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.