The Analytical Theory of Heat |
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Page x
... common flow is that which would exist , if the coefficients a and b were nul · 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being r = f ( x , y , z , t ) the function ...
... common flow is that which would exist , if the coefficients a and b were nul · 140 , 141. Analytical expression of the flow in the interior of any solid . The dv equation of the temperatures being r = f ( x , y , z , t ) the function ...
Page 6
... common observations confirmed by all experiment . The differential equations of the propagation of heat express the most general conditions , and reduce the physical questions to problems of pure analysis , and this is the proper object ...
... common observations confirmed by all experiment . The differential equations of the propagation of heat express the most general conditions , and reduce the physical questions to problems of pure analysis , and this is the proper object ...
Page 12
... common to many classes of phenomena . For all substances , solid or liquid , for vapours and permanent gases , determinations will be made of all the specific qualities relating to heat , and of the variations of the coefficients which ...
... common to many classes of phenomena . For all substances , solid or liquid , for vapours and permanent gases , determinations will be made of all the specific qualities relating to heat , and of the variations of the coefficients which ...
Page 18
... common and permanent temperature . It is not the same with a section distant from the source of heat ; each of the points of this rectangular surface parallel to the base has acquired a fixed temperature , but this is not the same at ...
... common and permanent temperature . It is not the same with a section distant from the source of heat ; each of the points of this rectangular surface parallel to the base has acquired a fixed temperature , but this is not the same at ...
Page 20
... of repeated observations . These we can now submit to calculation , and from a common theory derive all the particular facts which experience has taught us . The problem is reducible to the 20 [ CHAP . I. THEORY OF HEAT .
... of repeated observations . These we can now submit to calculation , and from a common theory derive all the particular facts which experience has taught us . The problem is reducible to the 20 [ CHAP . I. THEORY 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.