( <5/8 ) 
Frop* 1. Theor, 
Ejufdem Fa6H xv Incrementum, vel primum, vel fe- 
cundum, vel tertium, vel aliud quodvis, cujus ordo de- 
fignatur per fymbolum exhibetur per formulam hanc 
generalem 
xv-\-n X V n 
n — I , n — I n — ^ 
X X 
» — I 
X V &c. 
'n— 3 
In bac formula haec func obfervanda, i®“ Termino- 
rum numeri coefficient es i, »x-— * x^^ 
X J 
©f. iidem funt ac in binomii dignitate n. Numeri 
n — r, n — x, n — 3, f^c. ipfis x infrafcripti de- 
iignanc numeros pundlorum quibus definiuniur Incre- 
menta. 3“'’ Lineolse ^ ipfis x infrafcriptai, 
interpretandsE (unc per Def. i. 4”* In quovis Termino 
numerus pundorum ipfis x fimul infrafcriptorum, 
eft ». Sic <1;.^. » — 4: turn per formulam, ipfius;cv 
incrementum quartum prodit x v 4 x v 4- 6 x y 
^ 4 X V X V. 
* ///. •• till •• ‘ *“ 
Theorema hoc generale demonftrari poteft per In- 
dudionem, incremencis continue fumpeis juxta formam 
in Lemmate prsecedenci cradicam. Sed & colled^i 
forma Seriei ex hujufmodi calculo, Theorema eciam 
demonftrari poteft per Method um Incrementorum, ad 
eutn modum cujus fpecinien mox dabimus in demon- 
ftratione Propofitionis terti^e. 
Prop. If; Theori, 
Ipfius XV Integrale primum [xv'\ exhibetur per Se- 
1 '3 4 
riem [x]i/ — + 
Series autem ita terminatur, utfit[«v]=: 
