*!$ ) *7 ( l*P 



ttinc igitur crit 



a(.v-a)-+-(3(A--^)-i-v(.v-^)-r-^(jr-^)-4-etc. zro. 

 Manifeftum autem eft , fi omues gradus bonitatis inter fe 

 cfTent aequalcs , numcrusquc obfcruationum foret — », tum 

 repcriri .v — . - ~*~ b "^ c ~^~ d ^-^" quemadmodum rcgula vulgaris 

 cxhibet. Ex quo intclligitur , quatcn v iis gradus bonitatis 

 inter fe difcrepat , eatenus diucrfos valores pro quantitate 

 incognita x prodire poflc. 



§. 8. Cum igitur , vt Illuftris Au<flor ipfe affirmat , 

 gradus bonitatis litteris a, |3, y, <5", indicati fint 

 a —rr— (x — af , $ — rr—(x-b)"', 

 y—rr — (x — c)\ § —rr—(x — d)*« etc. 

 pofterior forma aequationis inuentac crit : 



rr(x-a)+rr(x-b) + rr(x-c) • 



-(x-a) z -(x-b) z -(x-c) z Gtc ' — °- 



Vndc fi numcrus obferuationum — n ct breuitatis gratia 



ponatur 



a -+- b -t-f -f-</ -f- etc. = A 



fl 1 -f- £ ! -f- f* -+- (T ~f- ctc. = B 



a-\-b z -\-c z -±-d z -\-Qtc. — C 



ifta aequatio redigetur ad fequentem formam fatis fimplicerri; 



nrrx- Arr — nx z -{- 3 Axx—zBx-{-C — o 



ficquc pcrucnimus ad acquationem cubicam , ex qua inco- 

 gnitam .v facile definire liccbit , quantuscunque fuerit ob- 

 feruationum numerus n. 



§. 9- Quod fi quantitatem r quafi infinitam fpecte- 

 mus , qui eft cafus , quo omnibus obferuationibus idem 

 bonitatis gradus tribui folet . neglectis reliquis terminis ex 

 hac acquatione ftatim deducitur 



X = — ZZZ " + i + t + d -4- etc . 

 n n » 



D 2 P r0r * 



