The Analytical Theory of Heat |
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Page vii
... Equation of the linear movement of heat in the prism . Different consequences of this equation SECTION VI . THE HEATING OF CLOSED SPACES . 81–84 . The final state of the solid boundary which encloses the space heated by a surface b ...
... Equation of the linear movement of heat in the prism . Different consequences of this equation SECTION VI . THE HEATING OF CLOSED SPACES . 81–84 . The final state of the solid boundary which encloses the space heated by a surface b ...
Page viii
... equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c ... equation , the final system of all the internal temperatures will be expressed by the same equation . • 94 , 95 ...
... equation v = A + ax + by + cz . x , y , z are the coordinates of any point , whose temperature is v ; △ , a , b , c ... equation , the final system of all the internal temperatures will be expressed by the same equation . • 94 , 95 ...
Page ix
... EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER , 118-120 . The temperatures of the solid are determined by three equations ; the first relates to the internal temperatures , the second expresses the continuous state of the ...
... EQUATION OF THE VARIED MOVEMENT OF HEAT IN A SOLID CYLINDER , 118-120 . The temperatures of the solid are determined by three equations ; the first relates to the internal temperatures , the second expresses the continuous state of the ...
Page x
... equation , v = A - ax - by- cz . The temperatures cannot change , since each point of the solid receives as much heat as it gives off . The quantity of heat which during the unit of time crosses a plane at right angles to the axis of z ...
... equation , v = A - ax - by- cz . The temperatures cannot change , since each point of the solid receives as much heat as it gives off . The quantity of heat which during the unit of time crosses a plane at right angles to the axis of z ...
Page xvi
... equation v = A the simple movement of heat in the sphere . infinity of values given by the definite equation The number n has an nX tan nX = 1 - hX . The radius of the sphere is denoted by X , and the radius of any concentric sphere ...
... equation v = A the simple movement of heat in the sphere . infinity of values given by the definite equation The number n has an nX tan nX = 1 - hX . The radius of the sphere is denoted by X , and the radius of any concentric sphere ...
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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.