The Analytical Theory of Heat |
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Page vii
... 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 from the lower ...
... 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 from the lower ...
Page viii
... maintained by any causes at fixed temperatures which satisfy the preceding equation , the final system of all the internal temperatures will be expressed by the same equation . • 94 , 95. Measure of the flow of heat in this prism • 67 ...
... maintained by any causes at fixed temperatures which satisfy the preceding equation , the final system of all the internal temperatures will be expressed by the same equation . • 94 , 95. Measure of the flow of heat in this prism • 67 ...
Page xi
... maintained at the temperature 0 , are d2v d2v dx dy expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose ...
... maintained at the temperature 0 , are d2v d2v dx dy expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose ...
Page 16
... maintained at a constant tem- perature , and if it remains immersed for a very long time , it will acquire at all its points a temperature differing very little from that of the fluid . Suppose the mass to be withdrawn in order to ...
... maintained at a constant tem- perature , and if it remains immersed for a very long time , it will acquire at all its points a temperature differing very little from that of the fluid . Suppose the mass to be withdrawn in order to ...
Page 18
... maintained at a less temperature , has at last arrived at a fixed state which it is required to determine . All the ... maintained at the temperature of boiling water , and immersed in atmospheric air maintained at the temperature of ...
... maintained at a less temperature , has at last arrived at a fixed state which it is required to determine . All the ... maintained at the temperature of boiling water , and immersed in atmospheric air maintained at the temperature of ...
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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.