The Analytical Theory of Heat |
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Page xiv
... correspond to values of x included between − π and + ☛ must be regarded as entirely arbitrary . We may also choose any limits whatever for x 235. Divers remarks on the use of developments in trigonometric series • • • • 204 · 206 ...
... correspond to values of x included between − π and + ☛ must be regarded as entirely arbitrary . We may also choose any limits whatever for x 235. Divers remarks on the use of developments in trigonometric series • • • • 204 · 206 ...
Page xxii
... correspond to existing values of the function f ( x ) . Every other value of gives a nul result for f ( x ) • 418. The same remark applies to the general equation f ( x ) ==== *** daf ( a ) cos 1 8 = + 00 + ∞ Σ 2π 8118 2in ( x - a ) ...
... correspond to existing values of the function f ( x ) . Every other value of gives a nul result for f ( x ) • 418. The same remark applies to the general equation f ( x ) ==== *** daf ( a ) cos 1 8 = + 00 + ∞ Σ 2π 8118 2in ( x - a ) ...
Page 16
... corresponds to the position of the source ; z is the highest temperature which the point m can attain by virtue of the constant action of the source , and this permanent temperature z is a function f ( x ) of the distance x . The first ...
... corresponds to the position of the source ; z is the highest temperature which the point m can attain by virtue of the constant action of the source , and this permanent temperature z is a function f ( x ) of the distance x . The first ...
Page 24
... corresponds exactly to a table of logarithms ; the numbers are the elevations of ther- mometers placed at the different points , and the logarithms are the distances of these points from the source . In general heat distributes itself ...
... corresponds exactly to a table of logarithms ; the numbers are the elevations of ther- mometers placed at the different points , and the logarithms are the distances of these points from the source . In general heat distributes itself ...
Page 25
... correspond also to physical properties . The first of these functions , or the fluxion properly so called , expresses in geometry the inclination of the tangent of a curved line , and in dynamics the velocity of a moving body when the ...
... correspond also to physical properties . The first of these functions , or the fluxion properly so called , expresses in geometry the inclination of the tangent of a curved line , and in dynamics the velocity of a moving body when the ...
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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.