264  INQUISITIO PHYsICA IN caAusAM 
prodibit per regulas compofitionis motus anguli CMN 
di AN CO DDR << DA 
tangens — D CD RS DRE 2 Ne MR 
infitutä,iifque terminis negleétis in quorum denominatoribus 
a plures quam quatuor obtinet dimenfiones, abit in hanc ex- 
_3Sx+y 3Sy(4axx—33) G 
PT i 
a V(xx+73) PLACE PT Ii M os ps 
formula , qu vis MR exprimebatur. Quocirca angulus 
CMN prorsis non pendet ab auétà minutâve gravitate, 
fed tantüm à vihorizontali fi PE particulis in T'erræ fuper- 
ficie fitis imprefsa. 
$. 35. Quoniam vero hæc ipfa media dired&io MN de- 
bet effe ad curvam 4 Md in punéto M normalis , erit fub- 
normalis PN= & CN— Ie. Cüm igitur fit 
anguli MVP tangens — È& anguli MCP tangens — Z 
erit horum angulorum diferénée , hoc eft anguli C A7 N 
EE ne +xdx 
ydx—xdy 
eadem tangens defignabatut , æqualis pofita pro curvà 
HE dy+xdx 
preflionem == 
tangens — ; quæ fuperiori expreflioni, quà hæc 
quafità a Mdb fequentem præbebit æquatione 
c ) ydx — xd} 
3Sxy 3Sy(4axx—yy d 2 
== 77 ad uquamentesrandam 
ai V{( xx +9) 2a4V (xx+y3)? SL £ 
ponimus V(xx+yy)=x= MC, & anguli MCA co- 
finum ED) ==" HE AUX y=XV(1— 4), 
pes Pad se Er à Tapritemque x dx +ydy= 
x dx. Hac autem fa@à füubflitutione , æquatio inventa abit 
STATS 3Szdu(suu—1) 
a? + —",cujus poftremus ter- 
minus, qui ob rats pre reliquis ferè evanefcit, fi abef- 
dz 
in hanc — — 
2z Z 
I S s 
fet , foret integrale = — = = feu x= c + ET 
proximè. Ponamus i itaque ta integrale efe x— 
3Sc?u? Su SX A 20 Ada l V 
c++, ac fatà applicatione reperietur 7 
5 S S 3 me 
ren # 3%, jta ut habeatur 2—=c + ES © SE D 
3 za? Z 4 3 
quod 
