The Analytical Theory of Heat |
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Page vi
... 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 . SECTION II . GENERAL NOTIONS AND PRELIMINARY ...
... 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 . SECTION II . GENERAL NOTIONS AND PRELIMINARY ...
Page vii
... 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 the air 72. General conditions of the linear movement of heat ...
... 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 the air 72. General conditions of the linear movement of heat ...
Page xi
... REMARKS . 157-162 . Fundamental considerations on the nature of the quantities x , t , v , K , h , C , D , which enter ... remark suffices to disclose the general form of v , namely , v = Σ aje im∞ - ( 2-1 ) x i = 1 .cos ( 2i - 1 ) . y ...
... REMARKS . 157-162 . Fundamental considerations on the nature of the quantities x , t , v , K , h , C , D , which enter ... remark suffices to disclose the general form of v , namely , v = Σ aje im∞ - ( 2-1 ) x i = 1 .cos ( 2i - 1 ) . y ...
Page xii
... REMARKS ON THESE SERIES . 179-181 . To find the value of the series which forms the second member , the number m of terms is supposed to be limited , and the series becomes a function of a and m . This function is developed according to ...
... REMARKS ON THESE SERIES . 179-181 . To find the value of the series which forms the second member , the number m of terms is supposed to be limited , and the series becomes a function of a and m . This function is developed according to ...
Page xiv
... remarks on the use of developments in trigonometric series • • • • 204 · 206 SECTION VII . APPLICATION TO THE ACTUAL PROBLEM . 236 , 237. Expression of the permanent temperature in the infinite rectangular slab , the state of the ...
... remarks on the use of developments in trigonometric series • • • • 204 · 206 SECTION VII . APPLICATION TO THE ACTUAL PROBLEM . 236 , 237. Expression of the permanent temperature in the infinite rectangular slab , the state of the ...
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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.