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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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614 DE MOTU GLOBI CIRCA AXEM

•a«/ cof h

— eaa co

s — oo°, tang 0 = -i--- — —--

e (a a + eia (c/ lmh — e) ef + eaa lmh

( 2 acie (gflinf) — a) akk *\ v

««+/ + -v SY )’ e ~ f

= + ««?♦) ( -„ bnirat0 « valore _ To , n a ,„ em

««+#

e fin <?

fit angulus £ = 90° et fin £ =-.

C O R O L l. i.

1287. Si initio fuerit angulus DZO = f = 0, erit k — sf (ee+eiff)‘pro angulo DZQ, = £ fit fin £ = — —— et cof^ = —-— ; tum vero

4 Seegt

poft tempus t prodit v = sf (ee — - + 4oaggtt') tang<p

= -r^,x=,. ('.-ifi'); y = „.,g|

s(L— 2 jg#) \ k y k

= - gg - u. 7-’ tan g(?-^) - — - ---- -- -- ; tang(lp-p A)

Fs — idgkt e gena '

4 Seeffg.t , ^Uffggtt

- 4- —-

= -7-T1F *7’ L —/ l «-

s aak — Soeffgt \

ztivzzk— 2$g ^1 + Elapfo :

aak

autem tempore t —

aak

)

2 k( aa +ff)

eaa J f ( ee jf + sea*) ^

erit tang <p — ——; v — - ^ -—/it; S- — 9°° et tang|

_ eef(aa+ff) _ _ se (aa +/)

ee(aa + ff) — aakk) f(ee — eea a)

C O R O L L. 2.

1288* Si angulus DZO — f e fiet 180°, eaedem formulae motum

indicabunt fumta celeritate angulari # negativa , fcn motu gyratorio in

contrarium verfo. At fi fit e = o, fcn globo folus motus progreilivus

fuerit improflus, fit k = e, <^=180°, u = 2 Sgt-, tp — o, X = t

O-Sfgt , r

6 et elapfo

(e~.$gt), Y = 0 > h — 180°; 3- = 9o°j 8 =

aa

tempo"