...equal to V(«'2 + o>"2 + o>"'2), about an axis whose direction-cosines are a>'a>~1, a>"a>~l, a>'"a>~1. The direction of motion of any particle will represent...auxiliary solid be referred to the rectangular axes of f ', rj ', f , of which the last coincides with the axis to which <B refers. It may be seen immediately,...

...•/(<»'* + o>"* + «»'"*), about an axis whose direction-cosines are ot'to'1, o/'or1, •/"or1. The direction of motion of any particle will represent...molecular radiation, that the expressions for the flux *rith six arbitrary constants only, namely the expressions (8), or the equivalent expressions (7),...

...equal to */(a>^+<a"* + a>'"*), about an axis whose direction-cosines are a>'taT1, co"a>~l, a>'"ai"1. The direction of motion of any particle will represent...auxiliary solid be referred to the rectangular axes of f , if, f, of which the last coincides with the axis to which o> refers. It may be seen immediately,...

...the whole figure differently magnified or diminished in three rectangular directions. 2This rotatorg sort of motion of heat, produced by the mere diffusion...arbitrary constants only, namely the expressions (8), dx dg dx 2 ,,du rdn . r.du dz dx dg 2 are the most general possible.2 [fxl fy1 fz are the fluxes across...

...to ^J(to^ + to'^ + a>'"*), about an axis whose direction-cosines are to' to-1, to"to~,, to'" to-1. The direction of motion of any particle will represent...auxiliary solid be referred to the rectangular axes of £', rj ', %', of which the last coincides with the axis to which w refers. It may be seen immediately,...