Opuscula. 185 
— ~f- • — • Quum (it e-\~s — &z=x y erit d s — d x> 
^ dx\ igitur eieaa ^at orietur f.z.-- rr: dV 
V 7. i p 
. D . Invenienda eft z data per V, Conftat ex di- 
ais eiTc — J-j ergo~f Arceamus^j-, & fiet 
Itante . ^ F __ , & multiplican^ 
do per 2 ixdVBt F.z — HJtLil . d = ^ rm^^F .h.ddz ^ 
s P 
Caufa brevitatis pono LL ~ r , ut refultet F,z — t:J^ 
[A r 
dV^ =z _^ H-^^^d d z 
r 
Quoniam ad integrandam aequationem nihil prodeft pri- 
ma methodus , eam multiplicemus per ^ z , ut altera poftu- 
lat, dz,F. z ~ fLiLLtJI^. ^ ^ jr^ ^^^-^•^•'^"'^^^ . ,Fiat i 
tegratio f dz. F. z—tilihJ: ^^y^ ~ AdV — ^Ll^'— l 
Si ^ir. f d z,F .z — r G .z ^ denotante G congruam fun- 
aionem , in hanc mutabitur xquatio ^^1- , d z =z d V 
/ . ^JL. 
.^A-\-tiliIz _^G.z, feu i^jF.h.dz 
y/rA + ii.F.h.z — r^.G.i:, 
HzEC, quum habeat incognitas feparatas , perduci femper pO" 
teft ad conftruaionem , quse ita faciendaeft, ut fa^a z — e 
fit V —C , Determinatio autem conftantis A defumenda eft; 
ex proportione , quam habet dz: d V in initio motus, quum 
fcilicet z = e . 
NuUo negotio determinatar velocitas corporis . Namque 
Vdz 
;rgo u V — 
TQm. VL A a 
eft V: w. : d s : d X — d s — d z: ergo u z= V r" j fed d 
° d s ' 
