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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 483, page id 175905688X:0505
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ELCII
is
ETMIB
1Y1B
one et
ee
DE REDUCTFOHE AE OUAPTONRM. 483
per hunc aequatio Provolica non est dirisibilis, quare illa etiam
per nullam aequationem rationalem diridi pocerit. Ouod sijuxra
unam politionem non ita accidisser, facile tuerie aliam instituere,
ponendox ∞b, vel ∞ = a, vel ∞ - b, ac. Lt raro continget,
quin per hanc transmutationem aequationis Propolicae in aliam
aliquod commodum conlequuturi atque operx plurimum (ub-
leracuri sumus.
ZVIIL REC V F A.
Quae modum docet reducendi omnem aequationem sive
literalem sive numeralem, cujus ultimus Terminus Fractio-
necaret, es quae ex multiplicatione duarum aliarum, qua-
rum ultimi Termini sunt quantitates rationales, produc
possunt.
Flaec Regula parum a praecedenti differt, nisi quod se latius
extendat, d per hanc quoque Reductiones ejusinodi aequatio-
num semperinreniri pollint, quae ex duabus aliis, sire rationales.
Cre irrarionales sint, produci possune, hoc tantum excepto, quod
ultimi earum cermini sint quanticates rationales; cum praecedens
Regula se Polum extendat ad aequationes, quae non nili ex ratio-
nalibus producipossunt: ideoque tantum opiis est, ut Colummo-
doiildem Regulis utamur, omnibus illis particularibus relictis,
quae originem duxerunt ex eo, quod necesse lic, ut illae ae quatio-
nes, ex quibus Propolita a quatio produci potelt, Sint rationales,
quod hic non requiritur. Exempli loco sic prima
REOYLA PRO A OYATLOHTBYS AOE DZMENS1O-
NV M.
Si aequatio Propolita dirisibilis st per aliam, plures
elam cuam dimensionem habentem, in qua nullus
ceminu eliciat, e cujus ultimus terminus scratio-
nalis; erit ea dirilibilis per
00 0b 5 3
1b  1d 100
PF