The Analytical Theory of Heat |
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Page vi
... limits of temperature · ib .象征 28 29 · 32-35 . The heat lost into the medium consists of several parts . The effect is compound and variable . Luminous heat ib . 36. Measure of the external conducibility 31 ib . 22823 37. Notion of ...
... limits of temperature · ib .象征 28 29 · 32-35 . The heat lost into the medium consists of several parts . The effect is compound and variable . Luminous heat ib . 36. Measure of the external conducibility 31 ib . 22823 37. Notion of ...
Page xii
... limits within which the sum of all the terms is included , starting from a given term 189. Very simple process for forming the series T = - Σ i = ∞ ( − 1 ) i cos ( 2i -1 ) x . i2i -1 150 ⚫ 153 SECTION IV . GENERAL SOLUTION . .. 154 ...
... limits within which the sum of all the terms is included , starting from a given term 189. Very simple process for forming the series T = - Σ i = ∞ ( − 1 ) i cos ( 2i -1 ) x . i2i -1 150 ⚫ 153 SECTION IV . GENERAL SOLUTION . .. 154 ...
Page xiii
... limits to which the values of the coeffi- cients continually approach are sought ; these limits are the quantities which it is required to determine . Expression of the values of a , b , c , d , & c . when m is infinite 215 , 216. The ...
... limits to which the values of the coeffi- cients continually approach are sought ; these limits are the quantities which it is required to determine . Expression of the values of a , b , c , d , & c . when m is infinite 215 , 216. The ...
Page xiv
... limits whatever for x 235. Divers 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 ...
... limits whatever for x 235. Divers 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 ...
Page xvi
... limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of heat in the ... limits and values of its roots . • · 268 • 274 • 277 290-292 . Formation of the general solution ; final state of ...
... limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of heat in the ... limits and values of its roots . • · 268 • 274 • 277 290-292 . Formation of the general solution ; final state of ...
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.