4^2 Opuscdla 



iVwM- ( 2 6 ;t -t- S ) m -4- A' + X 



H- ^ 



4- ^ 



etc. etc. 



Turn, calculo consuelo instltulo, determinentur quantilates 

 *5 ^j S^ ^f 5'c. numeris integris si fieri potest, atque, quo- 

 tiescumque id locum habet, formula cui calculus refertur de- 

 compositionem admittit positam 



Sic retento n^^^g, cum hie numerus decomponibilis sit in 



tria quadrata 36, 9,4, uoaquaeque formularum 

 49 w' 4. 21 m 4- 2 

 2 ^"^• 



,. 4m' + (4A4-2)fn4.A'4-A 



ponatur aequalis -^ j -r- -r- 



49 to' 4-7 »» 

 2 » 



2 



2 



36ira'4'(12g + 6)m4-g°+g 

 2 ' 



. . » , 49m'-4-2lTO-»-2 49 m' 4. 49 m -4- 12 



et inveniemus formulas ^ , , 



49m'^-77m4-30 ... 



« decomposilionis non esse capaces , caeteras 



vero decoraponi posse, et esse. 



49mH-7m_ 4m'— 2m 9m'4-3m , 36m'4-6m 



2 2 2 2 



49m'4- 3 5 m4-6 _ 4m'+2m 9m'4.3w 36m'4.30 m 4- 6 



2 ~~2 ' 2 *" 2"~ ~ '. 



49mM-63m4-20_4m'4-6m4-2 9m'4-1 5m4.(5 36 m'4-42m4.1 2 ■ 



2 2 "* 2 2 



49mM-91m4-42_ 4m '4- 1 0m4-6 , 9^=4- 1 5m4.6 36m'4. 66m+30 



2 3 2 ' 2 



Pariter cum idem numerus 49 aequet aggregatum quadrato- 

 rum I , 4> 4> 4> ^^) iaveniemus, calculo eodem 



