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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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+42
Analysis Infinitorum.
CAr. II.
Coroll. TTZ. Hinc cadeni, quae in S. IF, CorOII.
ex alio principio ocendimus, originem ducunt;
serierumque juxta clar: Wallis: tum auctarum
cum multatarum aseregata ec rel. dlua, herum
que poreltates qualibet in debica lua ratione ad
rotidem maxima constimuntur; gua S. PEXCC
dentis non nisi particularem casum efficiunt.
EX: OIP: FIZ. XX XLX POCICI A 9) = X, ex AB =n
si ∞ quotlibet terminorum Ciiplicium X COnTI
nencium Cumn. 2, e currae ABS X9V2IION  = 2;
quaeruntur omnia n e leu OMIa ZC. Ou2
DEOFCEF AaC ~ = nP = ml; CIque l = QC, ci:
que semiper aequalis curVa AD F subiermalis
QR; cricergo l= m, ec iuxta C dp. l. 5. 97:
Coroll. I. XgUaTIO CUEVZ ADF (
Tcd omnia lc = 2 ex praced: creo 
ninmle = omnia 2 c. quae cranc inrenienda.
Ondehaecregula; omniaze. (Teu Factoini
exemplum Z = rx Y X X) omnia rX C F X X C X-
quantur ipsi ~ x subtangenttaliter per a divilee:
hioc est lerei datx z unica ipsius x dimentione
auctae, d postea in linoulis terminis per porest-
tem ipEiuS X dirisX = 2r X X + 5 X. hinC S. 12.
rursus demonstrari potest. Ponc autem pore-
Ratesiptiusx, in terminis iplam ~ componenti-
bus, nunc per numeros tractos nunc per negaris
VO