1^6 Opuscula. 
corpus B jaceat ad eam partem , ad quam iiicedit centrum. 
Ad oppofitam partem. conftituatur Ah — e {Flg,i^.)^ & 
ad b O parallelam A S defcribatur curva b Z , cujus ordina- 
tx O Z fint ad Ch . f : : e : r , Erunt S Z , T Z negativx : 
primse dant diftantias corporis a centro, fecundx ipatia a 
corpore perada . Sit A C =i C , & ad abfcilfam C o defcri- 
batur curva, cujus ordinatx fint ad Sh.s::eC:r^: erunt 
5 V velocitates negativx . Quare corpus femper prxibit cen- 
trum , & novas femper velocitates accipiens in infinituin 
recedet. 
Reliquum eft , ut generatim fpedemus corpus , quod 
initio motus diftet a centro A (Fig.p.) diftantia ABrrrf, 
6 prxditum fit velocitate qualibet = c , In formula z — 
A Ch.x-f-iSSh./, quam prima prsebet integrationis me- 
thodus , determinandx funt B, Si /, & Sh . ^ — o , eft 
% — e ; etgo e z=z r A i A = ~ , Si s fit minima , unde 
Ch.f — r, Sh.Jrrx, habemus s: x : :C : c; ergo s : s x 
: : C : C f : ergo z — e = — ^ ^ • quare erit aequatio e -\- 
^'^'^ s =: e-\-B s ; ergo B — ^ ^ ^ . Itaque aequatio rite inte- 
grata dabit z z=z C h . x -f • ^-—^ S h . / . 
In hac sequatione duplex diftinguendus eft cafus , Vel 
-cnim , fumptis quantitatibus femper pofitive quxcumque 
fmt earum figna, ~ eft minor — ^ , vel eft major, inter 
quos adeft cafus medius , ubi ~ • In primo cafu 
■fiat^ : £±1 : : Sh . A : Ch . A; ergo erit £-±1 = . 
Quare aequatio evadet z — Ch . / -j- S h . /, fi- 
_ z.Sh.A Sh. A.Ch./H-Ch. A . Sh.x c t, ~X ', • 
ve — = — b h . s ; igitur 
z. ~ ii^^^tl . Si fit major ^-^—3 quoniam fieri ne- 
Sh.A r > C ^ i 
quit, ut cofmus fit minor finu , haec proportio ufurpanda 
cit 
