A N A L Y T I C A E. xa^ 



«' coefHcicns ipfiiis a*" 



8i-h 5<y-|- 420-f- 5(Jo-h 701:1107 



9J+ 72+ 75<J+-i^So+ 530=3139 



10 

 II 



12 



14- 90+i2(Jo+4-20o-j-3i5o-h 252Z8953 

 1-1-110+1980+924.0 + 1 1550+2772-25553 

 t + 13 2+2970 4184-80+3+55 0+15532+924.^73789 



etc. 



C o r o 1 1. 3. 



4. Serics liorum numerorum ita efl; compara- 

 ta, vt quisque terminus cum triplo praecedentis com- 

 mode confcrri pofle videatur , ex qua comparationc 

 lequentes difFcrcntiac n'A(cuntur : 



I, I, 3, 7, 19, ^i, 141, 393, 1107, 3139 ^^^ 

 3,3,9,21,57,153,423,1179,3321 



2,0,2, 2, 5, 12, 30, 72, 182 etc. 



Sc h o 1 i o n i. 



5. Si has difFcrentias accuratius contemplemur, ExempluiTi 

 non fine ratio.ie euen.re \idetur, quod eae fint nu- r^T"^^*' 

 meri pronici , feu trigonales duplicati in forma nis fallacis, 

 tfim + m contcnti , ac fi ad il^orum pronicorum nu- 

 merorum radices fpedemus , quae hanc feriem con- 

 flituunt : 



I, o, I, I, 2, 3, 5, 8, 13 Qtc. 

 ca manifefto eft rccurrens , cuius quisquc terminus 

 cft furama binorum praecedentium. Qui ordo cum 



ia 



