The Analytical Theory of Heat |
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Page 12
... multiplied . The analysis which we have formed will be deduced from more general , that is to say , more simple and more fertile methods common to many classes of phenomena . For all substances , solid or liquid , for vapours and ...
... multiplied . The analysis which we have formed will be deduced from more general , that is to say , more simple and more fertile methods common to many classes of phenomena . For all substances , solid or liquid , for vapours and ...
Page 87
... multiplying the volume Sdx of the infinitely small slice by the density D , to obtain its weight , and by C the specific capacity for heat , we shall have CDS dx as the quantity of heat which would raise the volume of the slice from ...
... multiplying the volume Sdx of the infinitely small slice by the density D , to obtain its weight , and by C the specific capacity for heat , we shall have CDS dx as the quantity of heat which would raise the volume of the slice from ...
Page 90
... multiplied , and in whatever manner they be disposed , no change can be effected in the numerical value of the ... multiplying S ī by the square of the hyperbolic logarithm of one of the roots of the equation w3 — qw + 1 = 0 , and ...
... multiplied , and in whatever manner they be disposed , no change can be effected in the numerical value of the ... multiplying S ī by the square of the hyperbolic logarithm of one of the roots of the equation w3 — qw + 1 = 0 , and ...
Page 106
... multiplied by any number whatever g , so that the equation of temperatures is v = g - gz , instead of being v = 1 - z , and if the two external planes are main- tained , one at the temperature g , and the 106 [ CHAP . II . THEORY OF HEAT .
... multiplied by any number whatever g , so that the equation of temperatures is v = g - gz , instead of being v = 1 - z , and if the two external planes are main- tained , one at the temperature g , and the 106 [ CHAP . II . THEORY OF HEAT .
Page 107
... multiplied by g . In fact , since all the temperatures have been increased in the ratio of 1 to g , the differences of ... multiply by g the quantity which the same point m sends to μ on the first hypothesis . The same would be true for ...
... multiplied by g . In fact , since all the temperatures have been increased in the ratio of 1 to g , the differences of ... multiply by g the quantity which the same point m sends to μ on the first hypothesis . The same would be true for ...
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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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