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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 55, page id 1032977698:0077
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.80
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s
17
30
11
3
C AP. I.
nalysis Infinitorum.
vam ex iis FOEMAFAMI. OuAEItIE ipLIUS FaNSCHS.
HXC autem juxta praecedentem regulam quiae
Cita dabit aequationem
2 ft n k + Z fX n F. + Z fX K t + 2. Z X t n k. + = X X k F
= 2 fyy kn + f yy nt.
qua, provaria iplarum fec Z ad varIAS CVEVAS
determinatione, voriarum, imo infinitarum
currarum tanzentibus inreniendis sola inscerire
Potest. Ouod praecedentis parasraphi corolla-
ria Patis Faciunt manifectum.
39. Ouo rero modo generalis hac aquario
rursum ad typerbolam rulgarem limitetur,
octendisse opera fuerie pretium; cum hic nOI
sine caurcla a generali ad parrieulare regreNIS
dCFUE.
FIaL CFSO f= 9, _C Z = r; aUE A maris,
utraque, cum ad omnes lincas pOME, ad paral-
lelosrammi rectanguli applicatam determipe.
tur; erunc eoiplo k ec ninfinita, (cum rectan-
suli subtansens sit infinita, quod Facilineobrio
demonstrabile e omnibus notum est) diridatue
jam cora eequario per intinitamk, Crit Z ft n
+2 fx F + 2 ~ N FB + Z X X F  2 fyyn
ZSX IM
Syynt
am vero, ex Schol: Gener: Temm. IV. XIV.
Terini Z1 X
nB
per infinitam n mulsipli
CaF I3