The Analytical Theory of Heat |
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Page 2
... manner partial results only have become known , and not the mathematical demonstration of the laws which include them all . I have deduced these laws from prolonged study and at- tentive comparison of the facts known up to this time ...
... manner partial results only have become known , and not the mathematical demonstration of the laws which include them all . I have deduced these laws from prolonged study and at- tentive comparison of the facts known up to this time ...
Page 4
... manner , in a new catoptrics which has its own theorems , and serves to determine by analysis all the effects of heat direct or reflected . The enumeration of the chief objects of the theory sufficiently shews the nature of the ...
... manner , in a new catoptrics which has its own theorems , and serves to determine by analysis all the effects of heat direct or reflected . The enumeration of the chief objects of the theory sufficiently shews the nature of the ...
Page 9
... manner its complement ' ; and by this means we shall have reconciled , so far as it can depend on our- selves , the necessary development of principles with the precision which becomes the applications of analysis . The subjects of ...
... manner its complement ' ; and by this means we shall have reconciled , so far as it can depend on our- selves , the necessary development of principles with the precision which becomes the applications of analysis . The subjects of ...
Page 19
... manner , the first of the three specific elements which regulate the action of heat is exactly defined , and physicists have for a long time known several methods of determining its value . It is not the same with the two others ; their ...
... manner , the first of the three specific elements which regulate the action of heat is exactly defined , and physicists have for a long time known several methods of determining its value . It is not the same with the two others ; their ...
Page 24
... manner the heat was at first distributed , the system of temperatures altering more and more , tends to coincide sensibly with a definite state which depends only on the form of the solid . In the ultimate state the temperatures of all ...
... manner the heat was at first distributed , the system of temperatures altering more and more , tends to coincide sensibly with a definite state which depends only on the form of the solid . In the ultimate state the temperatures of all ...
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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.