PENDUUlCIRCAjiVXEM CYMKDRICUM. 457

Sh,g!.z~0\ eril! intervallum qp =i'C cof(£>et pg r=?p fln^. Hinc

igilijr-jcoWigiimtSvOp: ^s&fcLirxofyff d-:_irtei>f)p-et .£V-a \

9-<i. i- ('. -i -- pg tksViifnrtpiti ., v'. •?)

V, ' )

il; ? ibtfjr Cum-tgitnr he^iysad ofoillationeg infiniteparvas refringamus', 'Ambo anguli ^ et (ft perpetuo manebunt quam miVnimi, unde line errore fiatuere liVebiffin$==' $et fin<p '== <p, tnin verocof$ — 1 et cqfi® —. 1ex qiio Flebimus xx: e + c, ideoque conllans,<?r// z± (^^quambBrcm^aequaiiones liifferentio - diffeVenrfalds, ob

Jutx. p >..'■> L .« ruri ,•" xs mrum , muu m: >-' S Iu: ' •/ 1 : vsi— X),' drtrntifeqtienfes:

i°. k = %_g ideqque. n= M,

a°

V ' aT ~ . .... ,

1 .* '' j j »- »' 1 1 tt i .i «1 f * • j ! ■ ^ w i J f | ,

‘ • edd^r + c 3 ct 0 1 ' r

:-—U-— 2FA; , , ,

- - - dt z - ^ - " • - -- ■ .i.da!) in;i^

St 8

nii

f J:’

M (e d dS + c d dtp) r

- 2gM& .ftve

M kkd'd(p

dt*

igllc {<p~S), five

- : = -jgg(ft-.S).

* .1 >

‘1050. ‘Tota ergo motus determinatio pendet a refolutione harumduarum aequationum differendo-diffcrentialiiun:

eddS + cddtp ■

- - - 2§3 et

dl z

Uddtp~~ dt z

= -2gc(<p - A),

ex quibus nfrumque angulum & et ad quodvis tempus t definiri oportet.Quoniam autem in utraque aequatione ambo anguli A et (p infunt; basaequationes ita combinari convenit, ut aequatio inde refultct duas tantumvariabiles involvens,

1051, Hunt in finem aequdtio prima ducaturin conflantem A ; al-terca vero in conflantem fi, nt ambae invicem additae praebeant hanc ac»AeddS+ (\ e + Kkk)dd<p

quationetn: --—-- — (<\ — Rr) & — Br<p,

vbt conflantes A et B ita definiri oportet, ut duae tantum variabiles in ea

ineffe