The Analytical Theory of Heat |
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Page vii
... 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 plane is z . 66 ...
... 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 plane is z . 66 ...
Page viii
... 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 73 3123 75 SECTION VIII ...
... 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 73 3123 75 SECTION VIII ...
Page ix
... fixed temperatures satisfies the equation d2v d'v d2v + + = 0 ; dx3 dy3 dz2 v is the temperature at a point whose coordinates are x , y , z • 124 , 125. Equation relative to the state of the surface and to that of the first section 97 ...
... fixed temperatures satisfies the equation d2v d'v d2v + + = 0 ; dx3 dy3 dz2 v is the temperature at a point whose coordinates are x , y , z • 124 , 125. Equation relative to the state of the surface and to that of the first section 97 ...
Page 3
... fixed at a given place : but it is not the same at all points of the same meridian ; in general it rises as the equator is approached . The heat which the sun has communicated to the terrestrial globe , and which has produced the ...
... fixed at a given place : but it is not the same at all points of the same meridian ; in general it rises as the equator is approached . The heat which the sun has communicated to the terrestrial globe , and which has produced the ...
Page 9
... fixed , it is preferable to employ at once the most extended analytical methods , as we have done in the later investigations . This is also the course which we shall hereafter follow in the memoirs which will be added to this work ...
... fixed , it is preferable to employ at once the most extended analytical methods , as we have done in the later investigations . This is also the course which we shall hereafter follow in the memoirs which will be added to this work ...
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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.