The Analytical Theory of Heat |
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Page xix
... sines or cosines of multiple arcs are transformed into definite integrals 359. The following theorem is proved : п f ( x ) = [ " dq sin qa daf ( a ) sin qa . 340 ib . • 343 345 The function f ( x ) satisfies the condition : f ( x ) ...
... sines or cosines of multiple arcs are transformed into definite integrals 359. The following theorem is proved : п f ( x ) = [ " dq sin qa daf ( a ) sin qa . 340 ib . • 343 345 The function f ( x ) satisfies the condition : f ( x ) ...
Page 13
... sine law of emission of heat from a surface . Proves the author's paradox on the hypothesis of equal intensity of emission in all directions . 1817. VI . pp . 259-303 . Questions sur la théorie physique de la chaleur rayonnante . An ...
... sine law of emission of heat from a surface . Proves the author's paradox on the hypothesis of equal intensity of emission in all directions . 1817. VI . pp . 259-303 . Questions sur la théorie physique de la chaleur rayonnante . An ...
Page 23
... sine of that angle ' . This general law of emission of heat which different observations had already indi- cated , is a necessary consequence of the principle of the equilibrium of temperature and of the laws of propagation of heat in ...
... sine of that angle ' . This general law of emission of heat which different observations had already indi- cated , is a necessary consequence of the principle of the equilibrium of temperature and of the laws of propagation of heat in ...
Page 24
... sines , for the rays which depart from the same point of a heated surface , differ very much from each other , and their intensity is rigorously proportional to the sine of 24 [ CHAP . I. THEORY OF HEAT .
... sines , for the rays which depart from the same point of a heated surface , differ very much from each other , and their intensity is rigorously proportional to the sine of 24 [ CHAP . I. THEORY OF HEAT .
Page 25
... sine of the angle which the direction of each ray makes with the element of surface . If we could observe the changes of ... sines and logarithms ; they would be noticed for example in the diurnal or annual variations of temperature of ...
... sine of the angle which the direction of each ray makes with the element of surface . If we could observe the changes of ... sines and logarithms ; they would be noticed for example in the diurnal or annual variations of temperature of ...
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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.