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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 433, page id 175905688X:0455
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e
DE RE DHOTIORE AOLAEIONAM 135
Pariratione tolli quoque pollunesiona quaeris alciora, sive illo
ejuldem, Cire direrla dimentionis sint. Sed nocandum est, quod
Sionahaec, Cire ipla cognitis, sirc incognitis quancitaribus praeti-
Santur, per hunc modum semper quidem colli postint, sed cum
apisme non esse breristimum, quando scilicetligna radticalia ad
quantitates cognitas pertinene; quemadmodum p25. 75 6C0
metria cernerelicet, ubi constat, quedam ligna colli posse multi-
plicando radicem aequationis ver certam aliquam quantitatem,
quo opere ipla in aliam aequationem eranlmutatur, xe que multas
dimensiones habentem.
Dantur praeterea adhuc alia compendia, quorum supra allatum
exemplum pecimen erit: haec enim aquatio f3 ∞ 3 ge c-  3880
dirila per n ab una parte, ee per ent 8 (quae aequalis cA n, )
ab altera parte, dat= ∞38e, cujus partes cubice mulciplica-
Ex dabune= ∞ 2783e3, aequationem, in qua nullum tignum ra-
dicaleinrenitur: Sed quoniam proposuitantummodohic gene-
ralem modum indicare, quo semper omnia ligna radicalia colli
queant, de non compendia, quibus in multis calibus facilius eo
perrenire polles, monstrare; ideo huic rei tine imponam, et ad
Regulas ReductiOnUm reVETEAT.
Z. R E G V F A
Duae modum docet reducendi omnem aquationem, (ive
literalem, sive numeralem, cujus incoenita quantitas, (v el
alia litera, quae tanquam incoenita considerari potest) duos
vel plures aequales habet valores.
Primo si in Proposita requatione dux aequales radi-
ces existane, mulciplico eam per Arichmeticam Peo-
orectionem pro libitu assumpram: nimirum, mum FeE
minum aequationis per uum cerminum procrectionis,
dum terminum aequationis per z dum rerminum proorel-
lionis, e sic deinccps; _ Productum, quod inde AC,
cric ∞0. Deinde, cum AC duas habCam aGuatiOHCS,
qua