The Analytical Theory of Heat |
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Page x
... easy to derive from the foregoing theorem the general equation of the movement of heat , namely dv K ( dv d2v dr \ = dt CD dx dy3 TM dz2 • • · 112 SECTION VII . GENERAL EQUATION RELATIVE TO THE SURFACE . 146-154 . It is proved that the ...
... easy to derive from the foregoing theorem the general equation of the movement of heat , namely dv K ( dv d2v dr \ = dt CD dx dy3 TM dz2 • • · 112 SECTION VII . GENERAL EQUATION RELATIVE TO THE SURFACE . 146-154 . It is proved that the ...
Page xi
... , namely , v = Σ aje im∞ - ( 2-1 ) x i = 1 .cos ( 2i - 1 ) . y . It is easy to ascertain how the movement of heat in the plate is effected • • 131 134 SECTION II . ART . FIRST EXAMPLE OF THE USE ს 2 TABLE OF CONTENTS . xi.
... , namely , v = Σ aje im∞ - ( 2-1 ) x i = 1 .cos ( 2i - 1 ) . y . It is easy to ascertain how the movement of heat in the plate is effected • • 131 134 SECTION II . ART . FIRST EXAMPLE OF THE USE ს 2 TABLE OF CONTENTS . xi.
Page 2
... easy to judge how much these researches concern the physical sciences and civil economy , and what may be their influence on the progress of the arts which require the employ- ment and distribution of heat . They have also a necessary ...
... easy to judge how much these researches concern the physical sciences and civil economy , and what may be their influence on the progress of the arts which require the employ- ment and distribution of heat . They have also a necessary ...
Page 15
... easy to determine by analysis the nature of this line . It is to be remarked that the thickness of the ring is supposed to be sufficiently small for the temperature to be sensibly equal at all points of the same section perpendicular to ...
... easy to determine by analysis the nature of this line . It is to be remarked that the thickness of the ring is supposed to be sufficiently small for the temperature to be sensibly equal at all points of the same section perpendicular to ...
Page 17
... easy to see that all points situated at the same distance x from the centre of the sphere have the same temperature ... easily see that there must be at each instant a certain quantity of heat which traverses that surface , and passes ...
... easy to see that all points situated at the same distance x from the centre of the sphere have the same temperature ... easily see that there must be at each instant a certain quantity of heat which traverses that surface , and passes ...
Contents
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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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