The Analytical Theory of Heat |
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Results 1-5 of 79
Page 38
... Hence the thermometer no longer receives so much heat as formerly . If , independently of the change in the surface of the body M , we place a metal mirror adapted to reflect upon the thermometer the rays which have left M , the ...
... Hence the thermometer no longer receives so much heat as formerly . If , independently of the change in the surface of the body M , we place a metal mirror adapted to reflect upon the thermometer the rays which have left M , the ...
Page 39
... hence the thermometer no longer receives so much heat as it received before the mirror was set up . Lastly , if we proceed to change also the state of the surface of the mirror , and by giving it a more perfect polish , increase its ...
... hence the thermometer no longer receives so much heat as it received before the mirror was set up . Lastly , if we proceed to change also the state of the surface of the mirror , and by giving it a more perfect polish , increase its ...
Page 45
... hence if this initial temperature had been 2a , and if all the other temperatures had been doubled , it would have become 22 ' . The same would be the case with all the other molecules b , c , d , and a similar result would be derived ...
... hence if this initial temperature had been 2a , and if all the other temperatures had been doubled , it would have become 22 ' . The same would be the case with all the other molecules b , c , d , and a similar result would be derived ...
Page 48
... Hence , the permanent temperatures of different sections of a solid enclosed between two parallel infinite planes , are represented by the ordinates of a straight line aß , and satisfy the linear b- -a e equation v = a + · 2 . 66. By ...
... Hence , the permanent temperatures of different sections of a solid enclosed between two parallel infinite planes , are represented by the ordinates of a straight line aß , and satisfy the linear b- -a e equation v = a + · 2 . 66. By ...
Page 54
... hence it would not maintain its state , which is contrary to hypothesis ; the constant flow at the surface is there- fore equal to that which traverses the solid : now , the quantity of heat which escapes , during unit of time , from ...
... hence it would not maintain its state , which is contrary to hypothesis ; the constant flow at the surface is there- fore equal to that which traverses the solid : now , the quantity of heat which escapes , during unit of time , from ...
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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 - 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.