The Analytical Theory of Heat |
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Page vi
... expressed by 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 ART . . 60. When a heated body is placed vi TABLE OF ...
... expressed by 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 ART . . 60. When a heated body is placed vi TABLE OF ...
Page vii
... expressed by the equation ( v − a ) 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 , 67. Notion and ...
... expressed by the equation ( v − a ) 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 , 67. Notion and ...
Page viii
... 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 temperatures which ...
... 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 temperatures which ...
Page ix
... expressed by the equation 114-117 . dv = K d2v 2 dv dt CD dx2 + x dx Conditions relative to the state of the surface and to the initial state of the solid SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER . 118 ...
... expressed by the equation 114-117 . dv = K d2v 2 dv dt CD dx2 + x dx Conditions relative to the state of the surface and to the initial state of the solid SECTION III . EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER . 118 ...
Page x
... expressed by the linear equation , v = A - ax - by - cz . The temperatures cannot change , since each point of the ... expression of the flow in the interior of any solid . The dv equation of the temperatures being v = f ( x , y , z , t ) ...
... expressed by the linear equation , v = A - ax - by - cz . The temperatures cannot change , since each point of the ... expression of the flow in the interior of any solid . The dv equation of the temperatures being v = f ( x , y , z , t ) ...
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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.