The Analytical Theory of Heat |
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Page vi
... the product 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 .
... the product 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
... distance , and v the temperature of the section , whose distance from the lower plane is z . 66 , 67. Notion and measure of the flow of heat 68 , 69. Measure of the conducibility proper . 70. Remarks on the case in which the direct ...
... distance , and v the temperature of the section , whose distance from the lower plane is z . 66 , 67. Notion and measure of the flow of heat 68 , 69. Measure of the conducibility proper . 70. Remarks on the case in which the direct ...
Page viii
... distance of a section from the origin 0 ; v is the temperature which that section acquires after the lapse of the ... distances are Observation of the 106-110 . viii TABLE OF CONTENTS .
... distance of a section from the origin 0 ; v is the temperature which that section acquires after the lapse of the ... distances are Observation of the 106-110 . viii TABLE OF CONTENTS .
Page ix
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . equal distances are Observation of the 106-110 . The temperatures at ... distance between two consecutive points is λ , and log w is the decimal logarithm of one of the two values of w ...
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . equal distances are Observation of the 106-110 . The temperatures at ... distance between two consecutive points is λ , and log w is the decimal logarithm of one of the two values of w ...
Page xi
... distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x1 and x , preserving their respective values . The ratio has a limit ...
... distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x1 and x , preserving their respective values . The ratio has a limit ...
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 - 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.