§. 7. Quod fi ergo breuitatis gratia ponamus 



A^zp-\-qa-\-ra z -\-sa"+ctc. \-za n -* 



Bz^p-\-qb-\-rb'-\-sb'-\-ctc. \-zb n - 1 



Cz=zp-\-qc-\-rc 7 ~\-sc' + etc. \-zc n ~ l 



Dz—p + qd-\-rd'-\-sd z ~\-etc. \-zd n - 1 



etc. etc. etc. 



quarum aequationum numerus fit «, pariter ac litterarum a, 

 b, c, d, etc. atque ex his aequationibus quantitates />, q, r, x 

 eliminare oporteat, id per praecedentia iam facillime expedie- 

 tur : prodibit enim fequens aequatio a litteris p, q, r, s, etc. 

 immunis: 



T + i + X -+- -f -H «c. =r o. 

 Vbi notandum , quouis cafu nnmerum litterarum />, y, t- , / eflc 

 « — 1 ; ficque ad fingulas determinandas fufficerent «— 1 ae- 

 quationes : at vcro ad eas penitus eliminandas opus cft aequa- 

 tionum numero n. 



§. 8. At f\ per methodum communem franc eliminatio- 

 nem expedire velimus , fumamus tantum cafum trium littera- 

 rum p, q, r, pro quibus igitur climinandis habentur fequentes 

 ciuatuor aequationes : 



A —p -f- q a -\- r a a 



B zzzp-\-qb-\-rbb 



Czzzp -\-qc-\-r c c 



D—p-\-qd-\-rdd 

 vnde piimo litteram p eliminando oriuntur hae aequationes : 



A — Bzzz q(a — b)-\-r[aa — bb) 



B-Czzzq(b-c) -\-r{bb-cc) 



C-Dzzzq(c-d)-\-r(cc-dd) 



fiue 



