OBLIQUUM QUEMCUNQ. GYRANTIS & c . 617

ct celeritas v— — —frf . At pro motu gyratorio fit tangr

aa+ff

„ f (e — ef fiuf) ef + ena finf

= ta »gf + —- 4 - 4- - —7 —-——4 , (cxifleute DIO

___ K flfl +#) c off f (««+#) coff

*— 9°°) et celeritas angularis:

_ (eeff + zeefaa finf + eea* finf* — se (na -f ffff coff 2 )

aa+ff

CASUS II.

Sit e < f f fin f, feu k = sf finf — quae efi celeritas radens initio,ejusquc diretflio 1Q talis, ut fit finDQ,= o, cofDQ. — i, ergo DQ = £= 0, et Q in D cadat. Globus ergo a fritfiione fecundum diredio-Nein IF. confianter acceleratur, ejnscjue centrum I in eadem retfia I H pro-greditur, atque elapfo tempore t erit celeritas v — e + et celeritas ra-

' = g/finf _ e — a< 5 'g Tum vero fit (p = o

et £ = o atque I — 90°. Quare pro axe gyrationis praefenti IO efi DIO= 90° et polito arcu ZO = s et celeritate angulari — a habebimus a cof/

e coff et a fin s = e fin f — ———, unde fit tangr =r tangf-—

na e aa coff

„ 4 Sefgt finf . 4 Wggtt \ .

a — / I ee — -+ -- }, noc tempore

V na a* S

* centrum globi percurrit lineam reclam GX = X = t (e -f < 5 'gt). Hic au-

. ,na (sf finf- e)

rem motus inaequabilis durabit tantum per tempus t —

dens

w :

n , . , . f( e f — f na finf)

1 "» elapfo erit celeritas v = -—

aa+ff

^ ffa (sf finf- e) (e (aa + ff) + gnu/linf)

2$g(naffff

ef+enafm f

110 repcrietur tangr = tangZO —

k +ff) coff

0 « + /)et fpatium X

At pro motu gyrato-

. (exifiente perpetuo

^10 = 90°), et celeritas angularisk _ / ,eeff + 2seaaf(m\+ ee u 4 finf* + se (na + ff) z coff 2 )

na +ff

Ii ii

CO-