CYLINDRICORUM SUPER PLANO &c. 437
cujus integrale eft
u =
bb + cc -f- (bb - cc) cof(a rj + 2g)qui valor in II fubftitutus praebet
CC (cc - bb) dt z fm 2 + . , z r f
- a aaddg + -—-—77-- 'T-TT-T^i + dt fin ? I
2 ffdd, cof^> *\
^ A 2 J
quae aequatio per dg multiplicata et integrata dat,
* crdt 2 -
- aadg* - -—rj~ -~ J- ? , V ’ ~ 4 /g** cof ? -
? W + ff + (M — «) coi 2 (jj +• f)
ffdp z finf* + Ddt 2 — o
s /" ‘CC x
fc„ 4 . (» +#<V)=*’ (p - 4/L »<V - w 4„ +(i l„ )co r 1 ( 77jJ
unde fit
dt —
bb + cc+(bb—cc)coh(yi-\-g),
dg/ (an+^fin^ 2 ) (bb-\-cc + (bb- tc)cofa(-4-s- ?))
/ flD - 4 fg cos?) (bb + cc + (bb _ cc) cofa (>; •+ g)) — §CC)Nunc dato tempore l per g, pariter ac it, inde colligimus prelTIonem tcporroque intervallum j- ex liac aequatione
gsdt — (cc _ bb) du fin (t\ -f f) cof(»j + f) + aandg 4- (cc - bb)
an
M
udg cofa (rj + g).
Tum vero obtinemus x —ac denique <p = — fudt.
—
dt
• j tj = u cof(t; + g)etz —rr fin (tj+g)
CORO LL. r.
941, Si initio purufium L fuerit in D ut fit ZD = r, ibique quieve-
dg
rit, polito t — o erat u = o,
dt
— o, ob x — 0; ideoque confiantes
ita definiri oportet, ut fit C = 0; et D = 4 fg cofr: unde fit dt — dg
/
no + ff fin^ J
. , >-?—ficque ? > r. korroefi» — o, hinc?- 0,
4 fg (cofr - cof ? ) 1
et r — o; preffio autem n bine facile innotefeit, et cum g ad 90° augeripofiit, corpus qua fi procumbet. Hic ergo motus neque a politione axiutnprincipalium Ili et IC, neque a radio bafium cylindri e pendet,
Iii 3 CO-