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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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CYLINDRICORUM SUPER PLANO &c. 44 t

qui valores, in aequatione integraii vim vivam compledlente fubftituti t

ob —-L. — — « dabunt:dt

A A 1 ^ 4.2 Arr $35 4 cof 'q + ®c l cof&)+«K (?{ 2 a *+^5 1 5*4- (£*£*)

— DD

= C _ ‘ifg^ — jftfuu q»ae aequatio ob 2laa eofg -f cof*j -f (T f<«osI — o abit in hanc

AAD + U( a a 2 + B 2 5 a + C 2 - 2 ) «® - LDD - 2DD^— D D ^ f u u

ubi fi loco CDD — AAD ponatur k?DD, fiet

_ 5 V ( R - a/gfg)

U ~ /( 4 2 n 2 4 -© a 5 a +(£*c 2 4 - © 5 D/ ff ) '

Statuamus porro -j- B*5* + Q*c* — DDHH, et rejecto terminoinfinite parvo DD habebimus

H ' / ( B -

H

unde colligimus t = Conft, -j- —----- Are. cof ^ - 3 , fcu

f 2 f& /"B

t = e, . = JCL r,„

f ■/>/« H H H

tum vero v —

D

F/N

hineque

DH H

st _ S/« cof (*+j)A& _ D _ _A*_

D ^ D/2/Z H D D

Deinde reperiemus:

<P = D_

/B/

(an 55 fin h co5h finZ* 4- an cc fin g coftj fintf ]

DHH/ 2 §

+ 55 cc finf coff fin M f- ^ ^ 2 -^

Denique vero erit

rns = xx -f yy + zz —

A A - a A + (AA + DB -f CC)MDD

ficque omnia ad datum tempus funt definita. Ceteram hic notafle juvat,esse AA BB -i- CC - DD -b FF' "a ut fit 88 = «u + «».

Kkk

COROLL.