( ^34P ) 
nrtm pro Blnomio communi j Sc proinde hdc Theor^ma 
eft hii}us Seriei cafus fpecialis & fimplex : ( 6. ) Ciirn 
fit Applicario hujusSerki ad Ffguram particularem, bae 
regular fufit obfervand^. i'* R.educatur ^equatio Cur- 
vam datam definiens ?d formam generalem, 6c excom» 
paratione pirrkularis cum generah invenienturcoefficien- 
fes a, b ; uc & exponentts n, c, r. Sccunda, Si tx- 
poientes fie determ natt non facianc ! numcrutii tn-e* 
grum Sc afiiniiativuni, ( juxra coaditioncm in Not. 3., 
adignatam. ) turn Silius tcrmmus a^quatkinis partkalaris 
a quantitare z libcrctur ; & fi aun: exi ontntibus d<^niro 
ckrtrniiaalis non conipeiar ilia Qtiidrabihtatis coodino, 
turn reliquus terminus a qaantitaie z libcreiur : N fn 
nulio labore qailibct ex tnbus rerm'mis aquarionem da- 
tani conftitucntibus a quanritate z liberari pctcft Ter- 
tian Si a'q iationi per Regulam p a:cedtnjeiii. txa<JJata2 
non coivepiat pr^d\(^3 Quadrabilitatis condirio ; ttini. 
per Seriet|i ;qua^ratuf A\tx complemcruum f; ) dzr 
quo Gognito (latim habeiur Area qaa::fita ^ nam, ut omni? 
bus nocum, z y — f ; y d z — f; z d y. Ec ui fmv coo- 
fufione Compleraeniun) per Seriem obtinearur; in sequa* 
tione data Curvam partxcularem definiente pro z fcribav 
tur Y, &proy fcribatiirZ: FaOaque htcmutarionc 
Ordinaiae in Abfciflam, & Abfcife in OrdinatatPj tra'^ 
detur arquatio juxta prarcepta j^gulae fecund^ ; doncG 
convcniat Quadrai)ilitaris conditio , vel eandemupfi. 
non pofle convenire patear» 
Exemplem i. Sit z? -f- y^ — b 2^ Quia hrc m =r 3 
n 3, 6 = 1, r. =: I, a = i id<eo 1 = 1, adeoque. 
1 4-^1= 2. Et proinde (juxtaNot4*) duo pfiaii Scid^ 
igjrmini dant Aieam = t z y — i b z* ^,.. 
