# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0079
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0079?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 57, page id 1032977698:0079
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=79
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000079.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.78
# 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.

D
et
a1
it
aU
1d
10
ii
1
a
N
Cu
2
CAD. T.
Analysis Infinitorum.
uni opera determinans. Sit erBO, Fic. XL, CuF-
va ANK Cirois ex circulo AD F ortum du-
CenS; dc vocatisradior, A Q: X. D 
iPlIuS RequatiO x, =: 2Xff = x ff. Fiatque 2. Y = X
2, cui aequalis CLaLUatUE CUEVX ACC appli.
Cata C 9, erit x = Zff. ac polica x 2d aliam cur-
ram, cujus applicata  X = d, erit d X X
 Zf, auC d d X = 2ff, aue d= Z f peoli.
bitu; unde cangentem inremiendo per luperiora.
dc Cintoidis e infinitarum praeterca currarum
tanzentes trabebuntur.
Pommisser et ipsa Cirsoidis xquatio per aliam
indeterminatam diridi, aut mulciplicari, Verb:
GIF: DeE X; 2C FOTCL, X = 2 r X ff = X X f:
HbI, FactIS ZY X = X X = yy, ACTCE X X = fy.
ac, iplam x ad applicaram d reterenda,
dx = fy, aue d d fy unde idem conseque.
rCTUI.
Hac autem mille modis rariari posse jam TuF.
Ficienter probatum autumo.
Scholium. Cunctis sere Malheales Haclenas B MOTE
Tuic posicum currarum proprietaces aequationibus com-
prehendere; in iisque quanricaces, quae parametrorum no
mine venire vuleo solene, in omnibus curra punecis
ejusdem ac invariacae magnicudinis considerare; Uci
de pro immutabilibus habere quarumlibet quanticacum
aequationem inpredientium, porectacum exponences; Ce-
ceris, guae indecerminaex audiune, ae quancitarem mu
CanE, reliduam solummodo cerminorum xquarioni sque pai-
cem constimentibus; has aurem curras hujus capicisini-
eio discusimus.
AI