The Analytical Theory of Heat |
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Page vii
... parallel planes maintained at fixed temperatures , are expressed by the equation ( va ) e = ( b− a ) z ; a and b are the temperatures of the two extreme planes , e their distance , and v the temperature of the section , whose distance ...
... parallel planes maintained at fixed temperatures , are expressed by the equation ( va ) e = ( b− a ) z ; a and b are the temperatures of the two extreme planes , e their distance , and v the temperature of the section , whose distance ...
Page x
... . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . 115 ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS X TABLE OF CONTENTS .
... . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . 115 ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS X TABLE OF CONTENTS .
Page xi
... parallel infinite sides , maintained at the temperature 0 , are 0 . d2v d2v dx dy expressed by the equation + 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the ...
... parallel infinite sides , maintained at the temperature 0 , are 0 . d2v d2v dx dy expressed by the equation + 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the ...
Page xii
... parallel or perpendicular to the base . This expression of the flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution ...
... parallel or perpendicular to the base . This expression of the flow suffices to verify the solution 196-199 . Consequences of this solution . The rectangular slab must be considered as forming part of an infinite plane ; the solution ...
Page 16
... parallel to its external sur- face , each of those layers will transmit , at each instant , a certain quantity of heat to the layer which surrounds it . If it be imagined that each molecule carries a separate thermometer , which ...
... parallel to its external sur- face , each of those layers will transmit , at each instant , a certain quantity of heat to the layer which surrounds it . If it be imagined that each molecule carries a separate thermometer , which ...
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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.