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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 465, page id 175905688X:0487
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cresomne
DF REDUCTTOHE A OLATLOHUH. 465
autem quo pacto dirilores hujus ultimi cermini
veniantur, gui poltquam cognitierunt, inserrire porerune, uc
Ceadem ope fer lequentes Regulas quaerantur aequationes o-
mnes rationales, hanc ultimam Piccam c3- f dcc. + 4 d dc. + 4d3 ∞0
dividentes, ac
proinde etia XguationCS, qu XC+- L d53 - = 4 d dc0
F 4 dc∞ 0 diridere pollune, qua quidem est ulcimus Periminus
Cta aequaltenis proxime praecedentis
46a3 - 2OC6 a a - 2 66 c a -  466 l cb ∞ O.
I 4d db  4 C3
 46d3
 d6 + 240d d  C+
 d03
Inrentis vero diriloribus omnibus ultimi hujus xequationis P’er
mini, possune denuo per easdem Regulas inreniri omnes x qua-
ciones rationales hanc iplam diridentes; quibus coonitis inren
cum est, quod guxerebatur, cum aequatio haec Ficta ultimus sit
PropOlIca aquationis Perminus.
Flinc liquer per solam sequentem ZV II Regulam lemper
omnes dirilores ultimi Termini inveniri posse: led, quoniam
per praecedentes uti e per reliquas sequentes Regulas lape pri-
ino incuitu cernitur tales dirilores non dari, Sinon dentur, ee ii
qui dancur Caepeminori labore inveniuntur, poterune _ ha RC-
sula magno cum tructu adhiberi.
XVI REGVL 1.
Duae modum docet inveniendi omnes aequationes ratio-
nales, duostantum Terminos habentes, quibus aequatio quae
vis rationalis es Fractione carens; sive literalis sive nume-
ralis sit, dividi possit.
Fiac alia aequario pro libitu ex duabus aut pluribus
quanticatibus, aur etiam terminis Propolitxe aquatio-
nis; 2Eque juxta hanc suppolitionem inveniatur ralor
ipius x; vel sumatur tantum aliquis valor prox, ut li-
bec. Deinde substicuto hoc ralore Fieco iplius x, vel co
quem ex aequatione Ficta invenimus, ubique in locum
iplius x aequationis Proposirx. Si cermini se mutuo de
Nnn
AErIeTe
trabet. Const.