The Analytical Theory of Heat |
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Page 5
... remains exposed , during the night , under a sky free from clouds , to contact with the air , to radiation from terrestrial bodies , and to that from the most distant and coldest parts of the atmosphere ? The intensity of the rays which ...
... remains exposed , during the night , under a sky free from clouds , to contact with the air , to radiation from terrestrial bodies , and to that from the most distant and coldest parts of the atmosphere ? The intensity of the rays which ...
Page 8
... 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 from which they are derived separates ...
... 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 from which they are derived separates ...
Page 15
... remains , if at every point of the mean circumference of the ring an ordinate be raised perpendicular to the plane of the ring , whose length is proportional to the fixed temperature at that point , the curved line which passes through ...
... remains , if at every point of the mean circumference of the ring an ordinate be raised perpendicular to the plane of the ring , whose length is proportional to the fixed temperature at that point , the curved line which passes through ...
Page 16
... remains immersed for a very long time , it will acquire at all its points a temperature differing very little from that of the fluid . Suppose the mass to be withdrawn in order to transfer it to a cooler medium , heat will begin to be ...
... remains immersed for a very long time , it will acquire at all its points a temperature differing very little from that of the fluid . Suppose the mass to be withdrawn in order to transfer it to a cooler medium , heat will begin to be ...
Page 18
... remains the same , since the state of the solid has become constant . The problem consists in determining the permanent temperature at any given point of the solid , and the whole quantity of heat which , in a definite time , flows ...
... remains the same , since the state of the solid has become constant . The problem consists in determining the permanent temperature at any given point of the solid , and the whole quantity of heat which , in a definite time , flows ...
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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.