The Analytical Theory of Heat |
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Page vii
... 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. Notion and measure ...
... 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. Notion and measure ...
Page viii
... expressed by the equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c are constant numbers . If the extreme planes are maintained by any causes at fixed temperatures which ...
... expressed by the equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c are constant numbers . If the extreme planes are maintained by any causes at fixed temperatures which ...
Page xi
... expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as ...
... expressed by the equation + = 0 . 167-170 . If we consider the state of the plate at a very great distance from the transverse edge , the ratio of the temperatures of two points whose coordinates are x , y and x , y changes according as ...
Page xii
... expression of the movement of heat in a rectangular slab ; it is decomposed into simple movements 192–195 . Measure of the quantity of heat which crosses an edge or side parallel or perpendicular to the base . This expression of the ...
... expression of the movement of heat in a rectangular slab ; it is decomposed into simple movements 192–195 . Measure of the quantity of heat which crosses an edge or side parallel or perpendicular to the base . This expression of the ...
Page xiii
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . SECTION V. FINITE EXPRESSION OF THE RESULT OF THE SOLUTION . 205 , 206. The temperature at a point of the rectangular slab whose co- ordinates are x and y , is expressed thus π 2 cos ...
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . SECTION V. FINITE EXPRESSION OF THE RESULT OF THE SOLUTION . 205 , 206. The temperature at a point of the rectangular slab whose co- ordinates are x and y , is expressed thus π 2 cos ...
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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.