The Analytical Theory of Heat |
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Page xii
... becomes a function of a and m . This function is developed according to powers of the reciprocal of m , and m is made infinite . 182-184 . The same process is applied to several other series • • 145 • • 147 185-188 . In the preceding ...
... becomes a function of a and m . This function is developed according to powers of the reciprocal of m , and m is made infinite . 182-184 . The same process is applied to several other series • • 145 • • 147 185-188 . In the preceding ...
Page 8
... becomes more regular and simpler , remains finally subject to a definite law which is the same in all cases , and which bears no sensible impress of the initial arrangement . All observation confirms these consequences . The analysis ...
... becomes more regular and simpler , remains finally subject to a definite law which is the same in all cases , and which bears no sensible impress of the initial arrangement . All observation confirms these consequences . The analysis ...
Page 9
... becomes the applications of analysis . The subjects of these memoirs will be , the theory of radiant heat , the ... become better known ; the results which we had deduced from them have been discussed and con- firmed . We ourselves have ...
... becomes the applications of analysis . The subjects of these memoirs will be , the theory of radiant heat , the ... become better known ; the results which we had deduced from them have been discussed and con- firmed . We ourselves have ...
Page 15
... becomes less and less according as they become more distant from that point at which the source of heat is directly applied . When the temperatures have become permanent , the source of heat supplies , at each instant , a quantity of ...
... becomes less and less according as they become more distant from that point at which the source of heat is directly applied . When the temperatures have become permanent , the source of heat supplies , at each instant , a quantity of ...
Page 17
... becomes constant whatever be the value of x , when we suppose t to be nothing ; for by hypothesis , the temperature at all points is the same at the moment of emersion . The problem consists in determining that function of x and t which ...
... becomes constant whatever be the value of x , when we suppose t to be nothing ; for by hypothesis , the temperature at all points is the same at the moment of emersion . The problem consists in determining that function of x and t which ...
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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.