The Analytical Theory of Heat |
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Page vi
... of the duration of the instant , of the extremely small difference of the temperatures , and of a certain function of the distance of the molecules . 41 ᎪᎡᎢ . 60. When a heated body is placed in vi TABLE OF CONTENTS .
... of the duration of the instant , of the extremely small difference of the temperatures , and of a certain function of the distance of the molecules . 41 ᎪᎡᎢ . 60. When a heated body is placed in vi TABLE OF CONTENTS .
Page vii
... instant a quantity of heat which may be regarded in the first researches as proportional to the excess of the temperature of the surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding ...
... instant a quantity of heat which may be regarded in the first researches as proportional to the excess of the temperature of the surface over the temperature of the medium 61-64 . The propositions enunciated in the two preceding ...
Page x
... instant dt crosses an infinitely small area & perpendicular to the axis of 2 , at the point whose coordinates are x ... instant . This condition holds and continues to exist after that the regular action of the medium has been exerted ...
... instant dt crosses an infinitely small area & perpendicular to the axis of 2 , at the point whose coordinates are x ... instant . This condition holds and continues to exist after that the regular action of the medium has been exerted ...
Page xv
... instant when the communication began , and of all the initial temperatures , which are arbitrary ; but in order to determine these functions completely , it is necessary to effect the elimination of the coefficients 267-271 ...
... instant when the communication began , and of all the initial temperatures , which are arbitrary ; but in order to determine these functions completely , it is necessary to effect the elimination of the coefficients 267-271 ...
Page 15
... instant , supposing that the initial temperatures are known . The following examples will more clearly make known the nature of these problems . 2. If we expose to the continued and uniform action of a source of heat , the same part of ...
... instant , supposing that the initial temperatures are known . The following examples will more clearly make known the nature of these problems . 2. If we expose to the continued and uniform action of a source of heat , the same part of ...
Contents
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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.