The Analytical Theory of Heat |
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Page viii
... Application of the preceding theorem to the case in which the function F is e- cos x cos y cos z • • 78 82 CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF HEAT IN A RING . 101-105 . The ...
... Application of the preceding theorem to the case in which the function F is e- cos x cos y cos z • • 78 82 CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF HEAT IN A RING . 101-105 . The ...
Page x
... . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . . 115 ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS TABLE OF CONTENTS .
... . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . . 115 ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS TABLE OF CONTENTS .
Page xi
Jean-Baptiste-Joseph Fourier Alexander Freeman. ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS . 155 , 156. In applying the general equation ( A ) to the case of the cylinder and of the sphere , we find the same equations ...
Jean-Baptiste-Joseph Fourier Alexander Freeman. ᎪᎡᎢ . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS . 155 , 156. In applying the general equation ( A ) to the case of the cylinder and of the sphere , we find the same equations ...
Page xiii
... Application to the function ex- e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + sin 3x + + a , sin ix + & c . ... 2 П 0 The value of the general coefficient a , isda ( x ) sin ix ...
... Application to the function ex- e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + sin 3x + + a , sin ix + & c . ... 2 П 0 The value of the general coefficient a , isda ( x ) sin ix ...
Page xiv
... Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231–233 . Any function whatever , F ( x ) , may be developed in the form a cos x + a ...
... Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231–233 . Any function whatever , F ( x ) , may be developed in the form a cos x + a ...
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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.