Opuscula. 207 
Conftituatur hic valor in formula inventa, ut oriatur 
Jl^^Sfdt . CTTf' — — j-/^ Sc.^.Sc.^-z,. Summa- 
toriae autera inclufae , ut conftat ex fuperioribus , funt hu» 
jufmodi /^/ . C c . / = 5 faSct 
,Sc .t=z H — 7- . Quare aequatio in hanc mutatur 
atSc .t iri 
1 rr 
aS c. .Cc .t 
^^^^^ -\-ASc.t — BCc,t = z, Uxc aequatio interce- 
dit inter t , Sz z . 
Deliniendx funt conftantes A, B, Siz=:fi',eft^,& 
Sc./ = o, & Cc^ ~ r: ergo B — — -^. Quapropter 
scquatio prodit H- ^ S c . / + C c . z= z- . Ad de- 
terminandam conftantem invenienda eft primum poten* 
tia applicata corpori in pundo a . Fiat ut b : e : : p : hxc 
erit potentia quxfita , quae per minimum tempufculum ut 
conftans fpedtanda eft. Quare aequatio inter minimas x, t 
erit hujufmodi x — ^^^, — -^. Spatium a centro confe- 
mb k % r r ^ 
ftum ita per tempus exprimitur s ~ — - .r\— Cc.ri atqui 
r — Cc./=r— fada minima : ergoj- = -^-^. Itaque j" : a* : : 
- — : . : a : e j ergo s : x -— s — e — z : . a : e — a j ergo 
s = liTZi; fed / rrr il; ergo ^ = '^-^ , five 
~ e — z ; demum z =z e — ( . Tam vero fa6ta t mi- 
nima xquatio exfurgit t^-i-At-^e — e — ( ISZ^if. : eroro 
*^ar ^ % r a 
At 
