382 ON THE MOTION OF SOLIDS ON SURFACES. 



The principles and formulas detailed in this memoir will 

 also enable us to determine completely all the circumstances 

 of the motion of any solid of revolution rolling or spinning 

 with or without friction upon a horizontal plane, its axis being 

 supposed to form at all times a very small but variable angle 

 with the plane. The length to which this paper has extended 

 itself obliges me, however, to defer for the present the further 

 consideration of this subject. I shall confine myself therefore 

 to the remark, that in some of these cases, and in a variety 

 of others, the equations given at the foot of page 377 may be 

 presented with advantage in the following form : — 



ERRATA. 



Page 342, line 19, for " (6) and (10)" read " (6), (7) and (10)". 

 .. 352, .. 15, for "a<5Q" read u aSR , \ 



16, for "/35Q" read »/3<JP". 



.. 354, .. 6<o 11. These 'formulas should be numbered "(27)". 



