The Analytical Theory of Heat |
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Page ix
... temperatures at points situated at represented by the terms of a recurring series . temperatures v1 , v2 , v3 of three ... initial state of the solid 90 SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER , 118-120 ...
... temperatures at points situated at represented by the terms of a recurring series . temperatures v1 , v2 , v3 of three ... initial state of the solid 90 SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER , 118-120 ...
Page xv
... temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures regarded as arbitrary 256 , 257. Remarkable consequences of this ...
... temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures regarded as arbitrary 256 , 257. Remarkable consequences of this ...
Page xviii
... Heat in a rectangular prism . 321-323 . Expression of the simple movement determined ... Temperatures at points on the axis of the prism . 315 317 330. Application ... initial state is represented by v = F ( x ) . The following theorem is ...
... Heat in a rectangular prism . 321-323 . Expression of the simple movement determined ... Temperatures at points on the axis of the prism . 315 317 330. Application ... initial state is represented by v = F ( x ) . The following theorem is ...
Page xix
... heat determines 350. Discontinuous values of the function expressed by the integral S dq cos qx 1+ q2 . · 351-353 . We consider the linear movement of heat in a line whose initial temperatures are represented by v = f ( x ) at the ...
... heat determines 350. Discontinuous values of the function expressed by the integral S dq cos qx 1+ q2 . · 351-353 . We consider the linear movement of heat in a line whose initial temperatures are represented by v = f ( x ) at the ...
Page xx
... HEAT IN AN INFINITE SOLID . 372-376 . The expression for the variable movement ... initial temperature , begins to be distributed throughout the whole mass ... TEMPERATURES IN AN INFINITE SOLID . 386 , 387. The heat contained in part of ...
... HEAT IN AN INFINITE SOLID . 372-376 . The expression for the variable movement ... initial temperature , begins to be distributed throughout the whole mass ... TEMPERATURES IN AN INFINITE SOLID . 386 , 387. The heat contained in part 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.