The Analytical Theory of Heat |
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Page vi
... temperature , thermometer . The temperature denoted by 0 is that of melting ice . The temperature of water boiling in a given vessel under a given pressure is denoted by 1 . 25. The unit which serves to measure quantities of heat , is ...
... temperature , thermometer . The temperature denoted by 0 is that of melting ice . The temperature of water boiling in a given vessel under a given pressure is denoted by 1 . 25. The unit which serves to measure quantities of heat , is ...
Page vii
... temperatures , are expressed by the equation ( va ) 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 ...
... temperatures , are expressed by the equation ( va ) 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 ...
Page viii
... temperatures of a solid is supposed to be expressed by the equation v = F ( x , y , z , t ) , where v denotes the variable temperature which would be observed after the time t had elapsed , at the point whose coordinates are x , y , z ...
... temperatures of a solid is supposed to be expressed by the equation v = F ( x , y , z , t ) , where v denotes the variable temperature which would be observed after the time t had elapsed , at the point whose coordinates are x , y , z ...
Page xv
... temperatures . Remark on the value of the coefficient which measures the conducibility 251-255 . Of the communication of heat between n separate masses , ar- ranged in a straight line . Expression of the variable temperature of each ...
... temperatures . Remark on the value of the coefficient which measures the conducibility 251-255 . Of the communication of heat between n separate masses , ar- ranged in a straight line . Expression of the variable temperature of each ...
Page xix
... temperatures . • • . 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral 8 PAGE • 333 dq 0 9 sin q cos qx is 1 , · 338 339 · if we give to x a value included ...
... temperatures . • • . 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral 8 PAGE • 333 dq 0 9 sin q cos qx is 1 , · 338 339 · if we give to x a value included ...
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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.