# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0127
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0127?run=74
# 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 105, page id 1032977698:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=127
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000127.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

sa
C AP. I.
Analysis Infinicorum.
ea statim infinuata ipsius h valore.
Coroll. TII. Onde solritue hoc problema:
data quantitare irrationali ex terminis, tum de-
terminatis, cum simplicibus x continentibus.
quolibet radicali communi signo copulatis con-
stanti, duas alias quantitates Z invenire; UE,
liharum altera per dictum irrationalem divida-
CuE, alterA verO per candem ultiDHCCTE, in
urrogue casu emersat Cubnormalis ad terminos
proximos, adeoque ad curram convenientem,
reducibilis; ixsiusque curve aequationem deter.
MIAIC.
SIt SAxErxtrr exposica quantitas ireatio.
nalis; mulciplicentur cermini ipsam componen.
res per dimensiones respectiras ipsius x Conde
terminus dererminatus excidet, cum x in co
dimentiones habeat nulLaS) _ ACE2 X X L p X;
tum singuli per x in duplum exponentis signi
radicalio ductam dividancus, et emersir quoriens
2 X +. Y
EK
Dui si multiplicetur per exponentis ejusdem
aC uniraris ditserentiam CMerget Z  k-= L in
2 X  Y
2E, quod primo casui inserrie, cum Z di
viditur per quantitatem exxolitam ierationa-
dem.