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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 17, page id 1032977698:0039
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=39
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000039.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# 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.

21
C0
tet
I1d
e
43
M
10
e
L F. V V A Y A.
Ouare s1 Potectas p alicujus radicis d, ut de; veniat
quadrate, cubice; aquadrare aliisque modis,
mulciplicanda, oportee potestatis datx expo.
nentem pper numerum dignitatis quaelica multi-
plicare; sic quadratum ipsius de est d. P, cubus
a P, gquad: d’P, adeoque (i d Pad porestatem
gerehri debeat,: orietur daP.
52. Flinc jam ordine rerrogado constatpotc:
Ratum quarumlibet, per alias ciurdem radicis
porestates divisionem, exponentium substractio-
ne perasi; sc d per d’dirisum exhibet quo-
tiencem d
seud: adcoque de per d2di-
visum efficie de =2; item dn perre seu= Facit
an qc
53. Ipsamque radicum omnigenarum ex
poreltatibus quibuscunque extractionem Aeri
divisione exponentium; sic radix quadrata ex d
est d seud; cubica exd est d: seu d; ex d
est d seud.
Radix qquade: ex rrd CA r d (Cu r2 d
quod juxra vulsarem norationem hoc modo de
Renate Prd: tandem radix potestatis g Cx dn
extracta eric d
Ouxe omnia ex divisionis, extractionisqué
adicum noca methodo manifeAa fMnF.