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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 174r, page id 00068200:0349
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Radicalibus, (E calia Occurrane) ita tamen ue quantitas y extra vin-
culum generale non habeat Fixponences diversa Denominationis;
ab exponencibus ejuldem, qui sunc sub rinculo: Exprestio sicre.
ductae mulciplicotur per quancitatem y: Et apponantur omnes P0.
teltates (quancitaris y) quae lub maxima producti porestate concinen-
tur; tales autem, ue P’oceltares appolux habeant exponentes eju
dem Nacurx ec Denominationis cum exponence maximae Potelta
eis in producto: Afliciantur hi cermini coetsicientibus b, c, d, e,
f. _c. quancitates incognicas Denorancibus; erune hi termini (qui-
bulris sionis connexi) altera pars aequationis quaelitae, cujus altera
est ax-CMg, vel lalcem quaesitam eminencer concinebic. ACque
hoc Faciendum est, sire exponens maximae porestatis sE aFrmati.
vus, seu neratirus, integer, seu Fractus: VESi ralor linex PMI
(Teu MC.) in y mulciplicacus habenc v maximam Dignitorem
quancitacis y extra vinculum, apponenda lunc, omnes Disnitates,
quarum Exponentes continentur sub 6; erune icaque termini ap.
Donendi g, y, g, 9, , 3, V (= 1): Vel Rreperiatur in PrO.
ducto y extra rinculum, erunc termini apponendi, g-6
3
0
C = F): Vel Ry Sic maxima Dignicas
in producto extra vinculum, erun cermini apponendi y, 9
2
3γ3)
2
r Y (= 1): Vel denique sic maximus produci ter-
minus y 3, erunt pocestates apponenda y 3,
33
3
1
 y
(=1). Fx aequatione hoc modo consticura inrestioe
cur valor analscicus interceprxe PMI per L eibnicii Nechodum in Actis Pap: 167:
Erudicorum explicatam; ex comparetur ejus ralor sic repercus cum An. 1684.
valore ejus dato, secundum cognicas Comparaciotum L eges d Car-
celio expolitas, unde nora aequationes relultabune, quae coefticien.
ces b, c, d, e, _c. decerminabune: Et coelaciencium valores in
aequatione substicuri aequationem quaelitam praecile constituents re-
jectis iis terminis, quorum coefficientes nihilus rquales inveniuneur.
rel ablurdum inrolrunt.
Schol. Sicubi ordinatim applicata MIC, vel interCEPtA PMI ad
simplicissimam Formam reducta habeac divertas pocestates quanci-
tatis y extra rinculum universale, tum apponenda erune porecta-
ces lub sinsulis concentx: Vel si plura habuorie rineula composi.
ca, cum quod hic cum uno faciendum praeleribitur, cum reliquis
paricer teri debet. Seguencia Fxempla hxec omnia illustrabun.
Lxempum