The Analytical Theory of Heat |
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Page xxii
... respect to a . These limits are those of the values of x which correspond to existing values of the function f ( x ) . Every other value of gives a nul result for f ( x ) • 418. The same remark applies to the general equation f ( x ) ...
... respect to a . These limits are those of the values of x which correspond to existing values of the function f ( x ) . Every other value of gives a nul result for f ( x ) • 418. The same remark applies to the general equation f ( x ) ...
Page 4
... respect to the radius of the earth ? Every inequality in the movement of this planet necessarily occasioning an oscillation of the solar heat beneath the surface , what relation is there between the duration of its period , and the ...
... respect to the radius of the earth ? Every inequality in the movement of this planet necessarily occasioning an oscillation of the solar heat beneath the surface , what relation is there between the duration of its period , and the ...
Page 7
... respect belongs to general analysis , represents as well the motion of light in the atmosphere , as it determines the laws of diffusion of heat in solid matter , and enters into all the chief problems of the theory of probability . The ...
... respect belongs to general analysis , represents as well the motion of light in the atmosphere , as it determines the laws of diffusion of heat in solid matter , and enters into all the chief problems of the theory of probability . The ...
Page 20
... respect to the earth's radius , and regard our planet as a nearly spherical mass , whose surface is subject to a temperature which remains constant at all points on a given parallel , but is not the same on another parallel . It follows ...
... respect to the earth's radius , and regard our planet as a nearly spherical mass , whose surface is subject to a temperature which remains constant at all points on a given parallel , but is not the same on another parallel . It follows ...
Page 28
... respect to water in particular , dilatations do not always follow augmentations of heat . In general the temperatures are numbers proportional to the quantities of heat added , and in the cases considered by us , these numbers are ...
... respect to water in particular , dilatations do not always follow augmentations of heat . In general the temperatures are numbers proportional to the quantities of heat added , and in the cases considered by us , these numbers are ...
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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.