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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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CORPORUM RIGIDORUM A VIRIBUS &c. 347

aa — ce „ r r s. , - aa){cc — bb)

M. Ai 3 finj 3 = —~— s* cof* cofy (i + -col0 )

bb

aacc

IV. d 7 Cm 7 = s* C of*caf/3(l + { -~ bb)( ^Zl C l cofy*)cc aabb ' J

et vis viva M&x (aa cof# z +bb cof0 z -)-cc cofy 2 )perpetuo manet conflans.

C O R 0 L L. 3 .

806 . Si corpus qniefcnt, ut fit y = o, ex momentis virium P, Q,R refpeflu axium principalium fuintis, axis, circa quem corpus primumgyrari incipiet, ex his aequationibus definietur:

Q cof# cof/B , R cof« cofy P iin« z „ P

bb

(

tc

P CofffC

+

Qcof/3

= 0 feuaa aa

R coly

a a bb cc

R cof/3 cofy P cof/Z cof« Q fin /3 Z

)

cc

(

+

aa

P cof

Oi

aa

+

Qcof/3

bb

bb,

R cofyCC

— 0 feu

)

P cofy cof «j Q cofy cof/3 R finy*

aa

(

= /3 feu

bb cc

P cof# , Q cof/3 R cofy

+

_Q_

bb

R

cc

■ cofx

= cof/3

cofy

cu J bb

unde cum fit cof 2 ; cof/3 : cofy —

P

aa

cc

Q R

)

erit

cc

cof# —-- \f

aa

p P , QQ ,

+ —7-— +

(1 .

V*. n 4 6 4

,« a ., r rp . o»

c°rs = +

r R PP .

cofy - - : / f —- +

CC \ fl 4

ac tempufculo dt fiet:

apdt f PP

«L — ——— / t-

M v « 4

b*

QQ

S 4

QQ

b*Xx 2

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+

RR

c 4

RR

)

)

R.R >

~y

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