The Analytical Theory of Heat |
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Page xi
... increases ; x1 and x , preserving their respective values . The ratio has a limit to which it approaches more and more , and when y is infinite , it is expressed by the product of a function of x and of a function of y . This remark ...
... increases ; x1 and x , preserving their respective values . The ratio has a limit to which it approaches more and more , and when y is infinite , it is expressed by the product of a function of x and of a function of y . This remark ...
Page xx
... increase of the distance included between any point of the mass and the part which has been heated ; it is entirely due to the increase of the time elapsed . In all problems submitted to analysis , the expo . nents are absolute numbers ...
... increase of the distance included between any point of the mass and the part which has been heated ; it is entirely due to the increase of the time elapsed . In all problems submitted to analysis , the expo . nents are absolute numbers ...
Page xxi
... increasing powers of the time t . Second development according to the powers of v . The first must contain a single arbitrary function of t 401. Notation appropriate to the representation of these developments . The analysis which is ...
... increasing powers of the time t . Second development according to the powers of v . The first must contain a single arbitrary function of t 401. Notation appropriate to the representation of these developments . The analysis which is ...
Page 21
... increases , what is the amount of the annual or diurnal changes at a given depth , the epoch of the changes , and how the fixed value of the underground temperature is deduced from the variable temperatures observed at the surface . 13 ...
... increases , what is the amount of the annual or diurnal changes at a given depth , the epoch of the changes , and how the fixed value of the underground temperature is deduced from the variable temperatures observed at the surface . 13 ...
Page 26
... increase in volume , if the quantity of heat which they contain increases ; they contract if it diminishes . When all the parts of a solid homogeneous body , for example those of a mass of metal , are equally heated , and preserve ...
... increase in volume , if the quantity of heat which they contain increases ; they contract if it diminishes . When all the parts of a solid homogeneous body , for example those of a mass of metal , are equally heated , and preserve ...
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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.