43o OPOSCUIiA 



49 TO* 4- 91 fn4-42 



Cam autera numerus 49 sit aggregatnni quadratorum 4, 4» '6> 

 25, erit a = 2, 3=2, c = 4, d=5. Ponaiiir igitur unaquaecjue 



f. , 49 TO= -f- 7 m 49 /n' -f- 21 m -{-:2 



torraularum ^^ , , etc 



_ 4m' 4- ( 4 A -+- 2 ) m 4- /«' 4- A 



•-'V--' 2 



4 m' 4- ( 1 it 4- 2 ) m 4- A-' 4- ;t 



.. ^^ 



"'"", 16m'+(8ff4-4)m 4-g'4-g' 



■^ 3 



-.fi'. 25 m" 4- ( 10/4- 5) m 4^' 4-/ i 



4^ ■ ■ ' 



' . ■-...' j .1. .» cjiCi - 2 



atqnte pro fortrtlila prima habebimus 



4 A 4-4A4-8g4- 10/4-13 = 7 

 h' 4- h 4-X» 4-.A 4- g' -H g 4- ^' + ^ = . 

 Ast aequaiioiies istae iniegris nuraeris resolvi nequeunt, ergo 



lormula — ^ non potest decompom in eas qualuor quae 



. 49m' 4-91 '" + 42 

 supra exposilae sunt. Idem dicito de ultima 5 



caeterae vero decomposilionem admittunt et calculo sepius re- 

 petito inveniemus ■; niixaiol ;:. 



49m'4-21 m4-2_ 4m=4-2/n 4m'4-2f/j 1 6m'4-1 2m4-2 

 '. 2 2 2 '^ 2 



, 25wj*4-'5m 

 ^—2—- 

 49w'4-35/«4-6_ 4m'4-2TO_^ 4TO''4-6m4-2 1 6to'4-1 2m4-2 

 2 "2~ ~~i "* 2 ' 



25w*rH5m4-2 



49m'4-49ffH-12_4ni'4-6m4-2 4m'4-6m4-2 16m'4-12w4-2 

 2" 2^" •" "I ' 2 



. ,., 25ff»?4-25mrJ-6 

 .as,^- ^ 



