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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 11, page id 1032977698:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=33
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000033.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.84
# 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.

L F V M AT A.
DB:  Factoque radio: r, ec sinu anguli P BD:
10
p VoCataque PB: P, erit juxta trisonometria
regulas, r: p: : p:  seu D P. Jam, Cx l. 47. FUCI:
est ppgu + ibb = pp, FCjCCtOq. per L. CM. 10.
er
nim
termino Bb, erie pery = pP, Ceu y = r, hOC
mm
YY
elt, Cinus anzuli P BD aequalisradio, undean.
Sulus PBD rectus. Idem eodem modo de an-
Sulo P AD demonctratur.
34. Sic, FIC. VZ, criansulum P AB rectum
in A, habens lacus AB quoris dato minus.
dicanCUTg., PB: P, AB:  radius: r.
Zrit sinusanguli AP B quoris dato minor.
ECenim p: r::-: scunum ansuli A eB,-
m pm
Quod paLITCE Cx L CM. 18. inferri posset.
35. Hlujus conrersum, exposito angulo AP B
Omni dato minori, ulteriori probatione non in-
diget.
36. Tisdem positis, hypothenusa B P late-
ri AP requalis est. Cum enim sinus anguli
om crit sinus complementi illius seu
BP A RF
anguli ABP Vrr-
Bhrr
perum ex juxca eriangulo-
ma
Xum