The Analytical Theory of Heat |
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Page vi
... condition does not in general exist in liquids ; it is sensibly true for solid bodies whose temperatures differ very much from those which cause the change of state 30. Notion of external conducibility 31. We may at first regard the ...
... condition does not in general exist in liquids ; it is sensibly true for solid bodies whose temperatures differ very much from those which cause the change of state 30. Notion of external conducibility 31. We may at first regard the ...
Page vii
... conditions of the linear movement of heat . SECTION V. LAW OF THE PERMANENT TEMPERATURES IN A PRISM OF SMALL THICKNESS . 73-80 . Equation of the linear movement of heat in the prism . Different consequences of this equation SECTION VI ...
... conditions of the linear movement of heat . SECTION V. LAW OF THE PERMANENT TEMPERATURES IN A PRISM OF SMALL THICKNESS . 73-80 . Equation of the linear movement of heat in the prism . Different consequences of this equation SECTION VI ...
Page x
... condition holds and continues to exist after that the regular action of the medium has been exerted during a very small instant . Any form may be given to the element of the envelop . The case in which the molecule is formed by ...
... condition holds and continues to exist after that the regular action of the medium has been exerted during a very small instant . Any form may be given to the element of the envelop . The case in which the molecule is formed by ...
Page xix
... condition F ( x ) = F ( -x ) . Expression of the variable temperatures · 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral 333 dq sin COS qx is T , 0 if we ...
... condition F ( x ) = F ( -x ) . Expression of the variable temperatures · 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral 333 dq sin COS qx is T , 0 if we ...
Page 7
... condition of every investigation , without which we should only arrive at useless transformations . The same theorems which have made known to us the equations of the movement of heat , apply directly to certain pro- blems of general ...
... condition of every investigation , without which we should only arrive at useless transformations . The same theorems which have made known to us the equations of the movement of heat , apply directly to certain pro- blems of general ...
Contents
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Common terms and phrases
a₁ abscissa action actual temperature analysis arbitrary function axis b₁ becomes body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling cosines curve d'v d'v d²v definite integrals denoting determine different points differential equation 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 temperature instant dt interior maintained mass mathematical analysis molecule movement of heat multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane preceding prism problem propagation of heat quantity of heat radius ratio rays represents result satisfies second member sin x sines source of heat sphere substitute suppose theorems theory of heat thermometer tion upper plane variable 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.