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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
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3
C AP. I.
analysis Infinitorum.
nali. Eire uno sive pluribus rinculis radicalibus
ns + lf
ligato, erit 2 en ipsam multiplicans quanticas:
gux, cum fst arbirraria, infnicis modis rariani
Vocest.
Schol. Ouoniam vero currae noncancum eres, urimodo,
sed pro arbirrio mulex altumi, incerque Angulas infiniri
Generis relationes Racui polsint, quin de ipsa curraiisad
misceri; quantus se pandar reducibilium subnormalium
eanpentiumque campus, quarum curra absque ulla cal-
culimolestia Rarim se produne, nemo non rider, susten
richi. digicum intendisse. Quin ee rario, praecer madorra-
aita, principiorum genere oriundas methodos, Lubnor.
males ad curvas conpruas reducendi his adjungere in pro-
clirieser, nis peculiarem sbi rractacum porius deposceret
macerix digniras: quare e mulcis unicam, ex intinires
marum calculo orixinem crahencem annecto, _ hoCen
ancerioribus demonstrabile praemiero lemmacieum.
99. Sit indecorminata x, crescens aur decrela
cens perintinitelimam e; y Per a; hDCCI, _C
erit expolica quaecunque aequatio ad infinices
mas redacta (in qua indeterminatae lingula in
proprias sibi infinicesimas, determinatasque du-
Et_ FInI) sequenti modo ad aequationem ordina
riam reducibilis: S, nimirum, mutaca infin
tesima in propeiam sibi indeterminatam, cmor-
Bens terminus diridatur PErPCtO PCF exPO
nentem dimentionum indeterminata
6h3
ExemP: OF. derue, rhithhi +  gy
trya, erir haec reducibilis ad hane aquario-
nem Exhh + 3h +3r =293 + iryy, e sc
100. Jam
in cxteris