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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)
# Folio 29, page id 1032977698:0051
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1
re
d
ct.
CAP. I. Analysis Infinitorum.
reliquilque post secundum per 5. 7, cranescen
EibuS.
22. Ouinetiam cerminum ex simplici solumq
continenti ortum, ese cundem equationis cur.
rae terminum, per numerum dimentionum ip.
Ciusy multiplicatum.
Sit enim in aequatione cuera terminiis po (P0.
SitO c pro potectatis ipsius y exPOMenTC) aC
PEO y, juXta S. 5, acceptum y - a A ad po-
tectatem c’erehatur, remanebit, Per S. 10,
TOlus sccundus = cayE, _, juxta 5. 8,
y ips a CubstitutO, CTIE TCTMINUIS OPEUIS = Cy
ex simplici yc.
22. Trem, terminum interCCDEaM X CON
cernentem, ex simplici ortum, ene cundem
xquationis datae terminum per respectirum di-
mentionum ipsius x numerum mulciplicatum;
ita tamen ut poltea unica ipsius x dimention
multetur, ac cidem e CUMCIAEUI.
Siquidem in porestate, cujus exponens b, a
radicex = e, Secundus terminus es = b e X b E,
eC, Der S. 8, mutatO eInF, CriEterMINUS OF-
tuS = b+ X b-T ex simplici x
23. Signa terminorum in veraque aequatio.
ne, Tum CurVae, tum ad taHGCHTeM, TUNCCA
dem, cum enim, 5. 10, non nili secundipo.
celtarum termini xquationem 2d tangentem in
predianur, iltique, in radicibus binomiis