5 6o CAPUT V. DE MOTU GLOBORUM,
qua celeritate angulari jam globus circa axem verticalem quieicentem gyra*
e
bitur: elapfo ab initio tempore t = -—— min. fec.
2 $g
C O R 0 LL. 3,
- _ e f
1194. Hoc autem cafu, quo initio eft h — 90°, et ? = - - ,
aa finf
fit ^ — 1 80; (p — ^ — l80; 5 = 90°; v ■=. e — 2$gt', tum vero
' -efc off -ef i$gt
g coi s =. —— — : —; g lm s — -I 1— —-- 1, hincque
an hn t aa \ e S
- tangf ct g = f C 1 - ——
\. t J nnlinf e
finf 2 + — - — fin f z ). At initio erat celeritas radens k = e
ee
( 1 + —— S ) , elapfo autem tempore t ea e(l w = C 14-
aa S \ aa J
tangr
(e — z$gt), ficque pofito t — — r — finuil iit te
20g
u't ante.
C O R O L L. 4,
o, v = o et s = o,
:i95. Ne valor g fin/=
indefinitus videatur, quod
/ cofd-&)
fit fi numerator ac denominator evanefcant, feu £= o, conveniet locofindet cof(| — A) valores ex superioribus fubflitui, atque hinc reperietur:
s fin, = / („ finf* - L^Ll^. k./finf--finh, +
\ aak a 4 y
unde ob s cof, = « C „1 f prodi.
aak
. 4 SSfggtt
C O R O L L. 5.
1196. Cum fit vis viva globi — M (vv 4* aax g), erat ea initios= M (rr + ffflfl), elapfo autem tempore r ea erit = M (« + seaa