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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 242, page id 1032977698:0264
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

242
Analysis Infinitorum.
C AD. V
9; 9, 8; 8, T; pariter sine intinitelimx angulo5
PEFPCTUIO i 8, 9, 20, EL, Facientes, notum est
eas omnes in lineam cueram AY delinere, quae
in candem parrem ac curva AD F concaraett;
cujusque hxec est proprietas: ut quaelibet recta
EL, D, 8, X, 9, ecC. CAEVam AD F CONFIH.
renshuic sit ad ansulosrectos, se contra.
Cumenim extrpothesi D, 8, ex D, 9, SInE
aequales, ec 8, 9, intinitesima, crunt ex lem
IatC 33. anguIO D, 8, 9, ec D, 9, 8, recti,
Unde consequitur propositum.
VI. Ouod etiam RG, NF, K4, ZS _C.
cuerae sint modo dictam habentes relationem id
cueram AD F; eodem modo demonstratur.
5. 7. Onde hoc tandem oritur theorema si
ab eodem principio A dux corediantur Curvae
AY C AF, I CandeM PATTCI CONCAVX, IEd
ad scinvicem relatae, ut, quae interiorem AF
tangit recta, verb. D, 8, (IL exterIOrI A P Sem
per ad ansulosrectos, erit D, 8, PaEStangeN
EIS inter duaS curraS intercepta PerpetuO Xqua-
lisCuErX AX D inter punctum contingentix D,
e principium commune A interiectr.
EA CHII D X = DF, CM X Z = 3, 4, 4C
2, 4 = 3, 7, ecc. ex modo astumris; unde li-
guet intentum.
5. 8. FIOC NOTCtE, (quod inter pexceden-
Eia Ja altisiuS) AI CUEVa AD F. siE versus
2XC111
S