The Analytical Theory of Heat |
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Page ix
... ratio : we have h = q , w2 - qw + 1 = 0 , and = V2 K { ( 1066 ) " . log The distance between two consecutive points is A , and log w is the decimal logarithm of one of the two values of w PAGE 86 SECTION II . EQUATION OF THE VARIED ...
... ratio : we have h = q , w2 - qw + 1 = 0 , and = V2 K { ( 1066 ) " . log The distance between two consecutive points is A , and log w is the decimal logarithm of one of the two values of w PAGE 86 SECTION II . EQUATION OF THE VARIED ...
Page xi
... ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x and x , preserving their respective values . The ratio has a limit to which it approaches more and more ...
... ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as the value of y increases ; x and x , preserving their respective values . The ratio has a limit to which it approaches more and more ...
Page xv
... ratios , and decrease with the time , as the ordinates v of a line whose equation is v = A.e - mt . Formation of the general ex- pression . • • · PAGE • . • 213 218 242-244 . Application to some remarkable examples . Different ...
... ratios , and decrease with the time , as the ordinates v of a line whose equation is v = A.e - mt . Formation of the general ex- pression . • • · PAGE • . • 213 218 242-244 . Application to some remarkable examples . Different ...
Page xvi
... ratio of the variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of ...
... ratio of the variable temperatures of two points in the solid is in the first place considered to approach continually a definite limit . e - Kn't , which expresses sin nx x This remark leads to the equation v = A the simple movement of ...
Page xvii
... ratio of the variable tem- peratures of two points of the solid approaches continually a definite limit , and by this we ascertain the expression of the simple movement . The function of x which is one of the factors of this expression ...
... ratio of the variable tem- peratures of two points of the solid approaches continually a definite limit , and by this we ascertain the expression of the simple movement . The function of x which is one of the factors of this expression ...
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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.