The Analytical Theory of Heat |
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Page vi
... molecules of the same solid are extremely near and at unequal temperatures , the most heated molecule communicates to that which is less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the ...
... molecules of the same solid are extremely near and at unequal temperatures , the most heated molecule communicates to that which is less heated a quantity of heat exactly expressed by the product of the duration of the instant , of the ...
Page x
... molecule of the envelop which bounds the solid , and we express the fact that the temperature of this element does not change by a finite magnitude during an infinitely small instant . This condition holds and continues to exist after ...
... molecule of the envelop which bounds the solid , and we express the fact that the temperature of this element does not change by a finite magnitude during an infinitely small instant . This condition holds and continues to exist after ...
Page 5
... determines in them internal movements by continual changes of the temperature and density of each molecule , can we still express , by differential equations , the laws of such a compound effect ; PRELIMINARY DISCOURSE .
... determines in them internal movements by continual changes of the temperature and density of each molecule , can we still express , by differential equations , the laws of such a compound effect ; PRELIMINARY DISCOURSE .
Page 15
... molecules nearest to the source will be first heated , and , after a certain time , every point of the solid will have acquired very nearly the highest temperature which it can attain . This limit or greatest temperature is not the same ...
... molecules nearest to the source will be first heated , and , after a certain time , every point of the solid will have acquired very nearly the highest temperature which it can attain . This limit or greatest temperature is not the same ...
Page 16
... molecule carries a separate thermometer , which indicates its temperature at every instant , the state of the solid will from time to time be represented by the variable system of all these thermometric heights . It is required to ...
... molecule carries a separate thermometer , which indicates its temperature at every instant , the state of the solid will from time to time be represented by the variable system of all these thermometric heights . It is required to ...
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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.