The Analytical Theory of Heat |
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Page xii
... determine rigorously the 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 ...
... determine rigorously the 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 ...
Page xiii
... determined for a certain value of the number m , and 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 ...
... determined for a certain value of the number m , and 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 ...
Page xxii
... determining by definite integrals the unknown coefficients of the development of a function of x under the form ap ( μ1x ) ... determine the coefficients , we solve easily problems which may arise on the employment of all the terms of the ...
... determining by definite integrals the unknown coefficients of the development of a function of x under the form ap ( μ1x ) ... determine the coefficients , we solve easily problems which may arise on the employment of all the terms of the ...
Page 2
... determine the action of heat . I then perceived that all the phenomena which depend on this action resolve themselves into a very small number of general and simple facts ; whereby every physical problem of this kind is brought back to ...
... determine the action of heat . I then perceived that all the phenomena which depend on this action resolve themselves into a very small number of general and simple facts ; whereby every physical problem of this kind is brought back to ...
Page 4
... determine by analysis all the effects of heat direct or reflected . The enumeration of the chief objects of the theory sufficiently shews the nature of the questions which I have proposed to myself . What are the elementary properties ...
... determine by analysis all the effects of heat direct or reflected . The enumeration of the chief objects of the theory sufficiently shews the nature of the questions which I have proposed to myself . What are the elementary properties ...
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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.