The Analytical Theory of Heat |
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Page vii
... planes , e their 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 ...
... planes , e their 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 ...
Page viii
... planes are expressed by the equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c are constant numbers . If the extreme planes are maintained by any causes at fixed ...
... planes are expressed by the equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c are constant numbers . If the extreme planes are maintained by any causes at fixed ...
Page x
... plane at right angles to the axis of z is the same , through whatever point of that axis the plane passes . The value of this common flow is that which would exist , if the coefficients a and b were nul • · dz PAGE • 104 140 , 141 ...
... plane at right angles to the axis of z is the same , through whatever point of that axis the plane passes . The value of this common flow is that which would exist , if the coefficients a and b were nul • · dz PAGE • 104 140 , 141 ...
Page xii
... plane ; the solution expresses the permanent temperatures at all points of this plane 200-204 . It is proved that the problem proposed admits of no other solu- tion different from that which we have just stated • • • 159 • • 161 ART ...
... plane ; the solution expresses the permanent temperatures at all points of this plane 200-204 . It is proved that the problem proposed admits of no other solu- tion different from that which we have just stated • • • 159 • • 161 ART ...
Page 3
... plane of the equator , and proceeds to lose itself across the polar regions . In the higher regions of the atmosphere the air is very rare and transparent , and retains but a minute part of the heat of the solar rays : this is the cause ...
... plane of the equator , and proceeds to lose itself across the polar regions . In the higher regions of the atmosphere the air is very rare and transparent , and retains but a minute part of the heat of the solar rays : this is the cause ...
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Common terms and phrases
2kt versin a₁ abscissa action actual temperature analysis arbitrary function axis b₁ b₂ body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v d²v definite integrals denoting determine different points differential equations distance dv dv dv dx dx² enclosure equation dv expressed fixed temperature function f(x give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior layers maintained mass mathematical analysis molecules movement of heat 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 source of heat sphere substitute suppose theorems theory of heat thermometer unit of surface unknown variable vary
Popular passages
Page 470 - Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.' Falling at a time when the formal revision of this version, has been undertaken by a distinguished company of scholars and divines, the publication of this edition must be considered most opportune.