52 SOLVTIO PROBLEMJTIS ARITHMETICI 



Si eft niimerusl 

 integer 



b 



ent 



m~— c 

 m^-^-l 



m—-^K'^y-\-r') 



»« = - I ( gy deH- (S^E-j- gg -1- e y -+. I ) 

 \m: 



Si nunc hi ipfuis m valores in aequiitionc Z — 7na-\-p 

 fubftituiintur , reperietur vt fequitur: 



Si eft integer 



erit 



hv 



Z=,q-~OL 



zz^q—j(a^y-\-a-{-y) 



bv , 



■ — q-^-jla^Sy^ 4-a§-f-«(5"-f-y(J-|-i) 



z —q — j{a^y$s--\- aSy-f-aS£-l-a(5e4-y ^e+a4-y-|-e)etc 



§. 10. Ad inueniendum ergo numerum z^ qui per 

 a diuifus relinquat /), et per Z> diuifus relinquat </, pofi- 

 to p — q:zzv fcqucntem habebimus regulam ; Inltituatur 

 operatio ad maximum communem diuilbrem inter ^ ct ^ 

 inueniendum, eaque eovsque producatur, donec ad refi- 

 duam perucniitur , quod fit diuifor ipfius v , tcncatiirque 



quotus 



