The Analytical Theory of Heat |
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Page xii
... 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 development , which gives the value of the function of x and m , we ...
... 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 development , which gives the value of the function of x and m , we ...
Page xiii
... powers of x 217 , 218. Different expression of the same development . Application to the function ex- e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + sin 3x + + a , sin ix + & c ...
... powers of x 217 , 218. Different expression of the same development . Application to the function ex- e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + sin 3x + + a , sin ix + & c ...
Page xxi
... powers of the time t . Second development according to the powers of v . The first must contain a single arbitrary function of t 401. Notation appropriate to the representation of these developments . The analysis which is derived from ...
... powers of the time t . Second development according to the powers of v . The first must contain a single arbitrary function of t 401. Notation appropriate to the representation of these developments . The analysis which is derived from ...
Page 2
... power to contain heat , to receive or transmit it across their surfaces , nor to conduct it through the interior of their masses . These are the three specific qualities which our theory clearly distinguishes and shews how to measure ...
... power to contain heat , to receive or transmit it across their surfaces , nor to conduct it through the interior of their masses . These are the three specific qualities which our theory clearly distinguishes and shews how to measure ...
Page 11
... power , with greater clear- ness . The results of our labours concerning the same problems are also indicated in several articles already published . The extract inserted in the Annales de Chimie et de Physique shews the aggregate of ...
... power , with greater clear- ness . The results of our labours concerning the same problems are also indicated in several articles already published . The extract inserted in the Annales de Chimie et de Physique shews the aggregate 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.