QVJE FIDENTVR VLVS QVJM DET. 10$ 



S O 1 U t i Oo 



Hinc ergo ifta forma generalis erit quadratum 

 ??-t-M(jj-{-zz-2.nyz—a) = Quadrato. 



I. Sit M — ~i et V—y-j-z, erit 

 i) 2 («-f- i) yz-\-a~a 



2) 2 (n—i)jz-\-a—a 



II. Sit M~w et P— /s + w», erit 



3) j/y33H--zw-J-f»2s— ma-\-mmnn~zU 



III. Sit Mcz2wjs et Pr= 2»js, erit 



4) 2nyz(jy-\-zz) — znayzzza 



IV. Sit M = — ss et Vzz:zz-\-nyz-\-la t erit 



5) (nn—i)jyzz-t-nayz-i-l'aa—a 



Coroll. i. 



23. Si ponamus a—mnn, peruenimus ad hanc 

 formam : 



yyzz-\- myy -\-mzz 

 quae ergo redditur quadratum , per hanc aequationem : 



yy-\-zz— inyz — mnnzzo 

 vnde fit z—ny-±y({nn-i)yy-\~mnn) 

 Qiiiire pro y talis numerus aflumi debet , vt (n n - i)jj 

 -\~mnn fiat quadratum. 



Coroll. 2. 



24. Quoniam hic nuraerus n arbitrio noftro re- 

 Unqoitur, fumatur talis , \t nn — 1 prodeat quadratum t 



Tom VLNou.Com. O fic 



