( <54* ) 
Sic exempli gratia, propofita Seric numerorum 
4» 6 % J30, 2676, 10350, qui conftituunt lineam 
decimam cranfverfam in Triangulo Arithmetico cujus ge- 
ncratores tres priores func 54, — 18, 5-, & feptem pofte- 
riores (unt sequales 4; exiftentc 4=1 =z», Terminus 
exhibetur per formulam quatuor tantum terminorum. 
_ ± Z^ z±i ^ ^ 
I r 3 7 ^ ^ I z 
z -\-6 z 
-7Xy 
,&c. 
Z’\"\ j z-^ 7 . z z~\~i 
J I J 8 
z -4- 8 
evaneicentibus coefficientibus fex primis B, C, 
^ 9 
Z), f- 
Invenire 
fummam 
M 
Trop. II. ^rok 
quotlibec 
+ 
terminorum 
M 
Seriei 
a -x a -{- &c. a-\-»x &c» ^ a -\-pn 
4- ' ■ — ■■ ■ + &c, ubi numeratores 
d -\-z &c. X 4 -f- p 4- I » 
Af, M, 0, &c. conftituunt Seriem quamlibet termino- 
rum, quorum difterentije, vel primae, vel fecundse, vel 
aliae quaedam dantur ; vel quod perinde eft, qui confti- 
tuunt lineam quamvis tranCverfam in dato quovis trian- 
gulo Arithmetico ; Denominatores autem conftituunt 
Seriem in Prop. I. exhibitam. 
Solutio, per X defignetur primus fadorum 4, 4 -j- xi, 
4 -{- 2 ^c. in denominatore ejufdem termini, uc fine 
X 8 iZ iidem ac in Lemm: praemiftis, adeoq iie deftgnetur 
X 
terminus quilibet Seriei per — -.-j 
zxz-^n^ &c. — n 
Per Lm,Zf vel per 4. Cprout magis commoduna 
G g g g g videatur 
