The Analytical Theory of Heat |
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Page vii
... included between two parallel planes maintained at fixed temperatures , are expressed by the equation ( va ) e = ( b− a ) z ; a and b are the temperatures of the two extreme planes , e their distance , and v the temperature of the ...
... included between two parallel planes maintained at fixed temperatures , are expressed by the equation ( va ) e = ( b− a ) z ; a and b are the temperatures of the two extreme planes , e their distance , and v the temperature of the ...
Page xi
... included be- tween two parallel infinite sides , maintained at the temperature 0 , are d2v d2v dx dy expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge ...
... included be- tween two parallel infinite sides , maintained at the temperature 0 , are d2v d2v dx dy expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge ...
Page xii
... 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 . GENERAL SOLUTION . .. 154 . 156 190 , 191. Analytical expression of the ...
... 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 . GENERAL SOLUTION . .. 154 . 156 190 , 191. Analytical expression of the ...
Page xiv
... included between a and 1⁄4 ” . Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231–233 . Any function whatever , F ( x ) , may be ...
... included between a and 1⁄4 ” . Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231–233 . Any function whatever , F ( x ) , may be ...
Page xix
... included between 1 and -1 . The definite integral has a nul value , if x is not included between 1 and -1 . · • 349. Application to the case in which the heating given results from the final state which the action of a source of heat ...
... included between 1 and -1 . The definite integral has a nul value , if x is not included between 1 and -1 . · • 349. Application to the case in which the heating given results from the final state which the action of a source of heat ...
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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.