The Analytical Theory of Heat |
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Page vi
... mass of ice 26. Specific capacity for heat . • 27-29 . Temperatures measured by increments of volume or by the addi- tional quantities of heat . Those cases only are here considered , in which the increments of volume are proportional ...
... mass of ice 26. Specific capacity for heat . • 27-29 . Temperatures measured by increments of volume or by the addi- tional quantities of heat . Those cases only are here considered , in which the increments of volume are proportional ...
Page xv
... masses , ar- ranged in a straight line . Expression of the variable temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures ...
... masses , ar- ranged in a straight line . Expression of the variable temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures ...
Page xx
... mass , according to three dimensions , is derived immediately from that of the linear movement . The integral of the equation dv d2v d2v d2v = + + dt dx dys dz2 solves the proposed problem . It cannot have a more extended integral ; it ...
... mass , according to three dimensions , is derived immediately from that of the linear movement . The integral of the equation dv d2v d2v d2v = + + dt dx dys dz2 solves the proposed problem . It cannot have a more extended integral ; it ...
Page 2
... masses . These are the three specific qualities which our theory clearly distinguishes and shews how to measure . It is easy to judge how much these researches concern the physical sciences and civil economy , and what may be their ...
... masses . These are the three specific qualities which our theory clearly distinguishes and shews how to measure . It is easy to judge how much these researches concern the physical sciences and civil economy , and what may be their ...
Page 3
... mass of the globe , would raise its mean tem- perature more and more , if the heat acquired were not exactly balanced by that which escapes in rays from all points of the surface and expands through the sky . Different climates ...
... mass of the globe , would raise its mean tem- perature more and more , if the heat acquired were not exactly balanced by that which escapes in rays from all points of the surface and expands through the sky . Different climates ...
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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.