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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 201, page id 1032977698:0223
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=223
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.79
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CAP. TTI.
Analysis Infinitorum. 20
rea O Peu DT: X FIF CCu GT: a inFni-
relima; unde, quia OT: y, crit OC: y + a,
_ OF: X = C; jaM autem juXta 5. LB. CFat COHUS
ceyy
TTUHCATUS Cx DO P F Circa OP = 2r; CuI
adde cxlindrum ex rectangulo POGF circa
O
C9y X  2 a cy X = c c y y
 Orietur
SOlidU Cx PENTSONO OD ECO circa OO=
cy YX + 2 a cy X
r
 ex quo si dematur crlindeus ex
cy y X
rectansulo OD2O circa 9O seu 2r orie
tUE TUBUS GUXSIFUS ex trapeZIO D YGF CIICa
a c y X
DO= r 3 seu, uT Cx CalCUIO PAFCE, tubUS
ex rectansulo DIGS circa 9O, quXe co-
noidistioc modo considerati infinitelima cst.
Coroll. T. Ouod A O F = AM (II = p,
de AO= M8 = b; erit cslindri ex rectangulo
6y ac
AMFO circa AO infinitesima =
e
S. 26. Sint jam Fic. LX. dux FiguEx ACO
_ AFO ad eundem axem AO pOTIIX; Vo
cati(q. RO: Z, DO: y, inTinitesIa OP: C,
intercepta AO: x erit ex praecedenti Colidum
ex ACO circa B A=, duxe per verticem appli
E X ec
eatis parallela est, sequale omnibus
r5 d
COli