The Analytical Theory of Heat

a₁ abscissa analysis arbitrary function axis b₁ b₂ becomes body co-ordinates coefficients conducibility consider constant temperature contains convergent series cooling corresponding cosines curve d'v d'v definite integrals denoting determine different points differential equation dimensions distance dv dv dv dx dx dy dx² dy dz equa equal equation dv expressed fixed temperature function f(x give given heat which escapes Hence hypothesis infinite number infinitely small initial temperature instant dt interior layers maintained mass molecule movement of heat multiple arcs multiply ordinate parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays remark represents result satisfies second member sin x sines solid solution source of heat substitute suppose theorems theory of heat thermometer tion unit unknowns variable versin