a5<y DE DENSITJTE METAtLORVM 



uifi duac acquarioncs quncflionis naturam exprimentes , ncm« 

 pc X -4- Y — M , ct .V -i- j' — w ; \ndc patct , pro- 

 blcm.i hoc efle indctcrmin;Uiim ; ct multo magis tale , fi 

 quacllio iulhtuatur dc ingrcdicntibus pluribus quam diiobus. 

 Sin autcm adiiciatur iioua aliqua conditio cogiiita , qualis ex. 

 gr. fif , natura iugrcdicntiiim , hoc c(t, ipfonim denlitas, tunc 

 problcma in i'nico tantum calii fit dctctminatum , lcd in om- 

 nibus rcliquis manct iu(()lubi]c Sint enim ingrcdicntium fex , 

 pondcm X, Y, Z, T, V, W^ voliuniua rc^pc^fliua .v, r, ~, 

 /, 1', ::', naturac, vcl dcnfitatcs, coguitac rciatiuac fZ, ^, t, ^, 

 ^, f\ mixti dati poudus M , volunicn w; nc^i potcnuu cx his 

 crui pluro acquatiouc» quam oQ.o^ cuni incognitac adliiU 

 duodccim , quac acquationcs Juut , 



X H- Y -h Z -H T -f- V -f- W =: M. 



.V -4- J -|-~-4-'-r-V-i-2y — /W. 

 — zn a . y — t» • V — i. 

 y — </ . .j zz r . - i=/. 



Et lcui quidcm ndJiibita artcntionc patct in gcncrc , fi 

 numciTJS incognitaruin in tali problcmatc fucrit n , acqua- 

 tionum , cx natura quacCtionis cruaidarum , numcrum forc 

 *-^ j vt igitur quacdio fiat dctcmiiuata , cx Algcl>fa« 

 lcgibus dcbct c^Tc o — ^^* , hoc c(t, n zt- 4 ; quarc Ikk 

 problcma in co (blo cafii acquirit circumdnntias dcfinitiuns, 

 in quo adlimt quatuor incoguitac , vcl duo ingrcdicutia , 

 quorum coguita c(t natura ^ vtpotc cui ca(iii iulcruiunt 

 acquationcs X-|- Y=iM ; x-i-yzz-tn ; ^—a\y—Oy 

 ct (]uarum o^x: oriuutur valorcs (tqucntes , X rr — a3:*r'» 



M — ^m -- h(am — M) am — H » 



X — ir-l> » * — ~i^6 — » ^ — Tl^' *'i oninibus 



uliiS 



