i 



Beiträge zur Lehre von der Bewegung eines festen Körpers etc. 



— u" = ÎI cos & — V sin , 

 v" = — u sin — V cos © , 



(5) 



W = ÎV 



— p" = j) cos & — q sin ^ , 

 q" = — p sin & — q cos , 



r = r 



Durch Substitution erhält man demnach 



(6) 



T(u' ^v\w\p\q\ r') = [cn cos^ © — Cjs sin 2 © + C22 sin' 0]w* 



+ 2 



C12 cos 2© (C22 — Cn) sin 2 



UV — 2[ci3 cos — C23 sin ©]?wp 



+ 2 



+ 2 



Ci4 cos^ © + C25 sin^ — g (^24 + C15) sin 2 © 



c,5 cos^ © — C24 sin^ — H (^25 — ^u) sin 2 © 



up 



uq 



2 [c,e cos © — C26 sin ©] tir -\- [cn sin^ © + C12 sin 2 + C22 cos^ ©]«' 

 — 2 [C23 cos + Ci3 sin ©] vw 



+ 2 



+ 2 



C24 cos^ © — Ci5 sin^ © — 1 (c2ä — Cu) sin 2 © 



C25 cos^ © + c,4 sin'^ + g (^24 + C15) sin 2 © 



up 



vq 



— 2 [c26 cos © -j- 6'i6 sin ©] w + Csji/j''' — 2 [C34 cos © — C35 sin ©] M;p 

 — 2[c35 cos © 4- C34 sin @]wq + 2c36îu?'+[c44COS^ © — C45sin 2©+C55 sin^©]p^ 



+ 2 



- C45 cos 2 © — - ((;55 — C44) sin 2 



jjq — 2[c46 cos — C56 sin ©J/)?- 



+ [C44 sin^ © + C55 cos^ + C45 sin 2 ©]^^ — 2[c56 cos © + (^46 sin ©] qr 



+ C66''' . 

 Nova Acta Reg. Soc. 8c. Ups. Ser. III. 2 



