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Theoria motus corporum solidorum seu rigidorum ex primis nostrae cognitionis principiis stabilita et ad omnes motus, qui in huiusmodi corpora cadere possunt, accommodata / auctore Leonh. Eulero
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MOTUS TURBINUM SUPER PLANO &c. 383

qdy + rdz — ~~ A ( na ~ c c 2 dp huc addatur 4 ®

ydq + zdr = — Adp

erit qdy + ydq -j- rdz + *dr

— aa

cc

hdp cujus integrale eft

qy 4 . rz = B —

era

cc

Ap.

Torro colliecndo i°.» + i°.z prodit:

*nfgdt , , _ - *nfg*p

yi,j + (rsi - s»)-

n fddp

q„ are eam Iit — =1+ ~^r ^

,,/,+*&= s^lSiJL _ ifi ^ -

cc ccdt z

unde integrando nancifcimur:

„ 4 fgp ffdp*

yy + zz=z C- ^

cc ccdt z

Cum jam fit ~~ J ~ — qz^-ry, obtinemus novam aequationem finitam ;

4fgP ff

yy + zz — C ”ex qua cum fit

cc

cc

QiZ-ryY

(qz — ry) % —

Ccc 4 gp cc (yy -f- zz)

ff f

ex ante inventa- autem

(qy + rz) z - (B -

prodibit his addendis

#

haap

(qq + rr)(yy -f a») =

cc

Ccc

)

4gp cc{ijijd-zz)

ff /

Aaap V

-“V

trnde ob qq * -$- rr z=. *i — pp elicitur

ff

■f (B

(r-K»