# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032704993:0045
# Permalink to this reading: https://leibnizlegible.com/page/1032704993:0045?run=74
# Title: [Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatae] Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatæ (shelfmark Leibn. Marg. 150)
# Folio 39, page id 1032704993:0045
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=45
# Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000045.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.93
# 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.

Considerationes.
per freatur. Cum aucem summa hujus materis
dioniras peculiarem sibi porius tractationem
dexolcat, ad seguentia tran(co.
Sape quidem me inCCNSIE CUTIOSFAS, nun
inea etiam ad sublimiora, gux nunc cempo-
ris Creometrarum ingenia exercene, pertin-
veret methodus; quare, cum viderem D.
Leibnitium solutionem problematis mente
Majo, AnnO 1693, P25. 235, a Clar: Ber-
noullio proxolitum plurimifacere, ec tanti quin
dem, uc, qui methodi Leibnitianae faciliora te-
nent, non statim illue perventuros esse expreste
pronunciet, eodem Anno 2693. mense Julio
Pa5. 313. Placuit circa hoc methodum meam
experiri: cui propoliconum luccectus aeque ac
in aliis methodis Feliciter responderie, ut ju-
dicent alii, ex methodo mea emergentem
problematis Tolutionemhilce, in quantum hu
jus dissertatiunculae brevitas permietit, adjun-
BaM.
Problema, quod, praeter aliosclarissimino-
minis viros, etiam examine luo dionum judi-
carit magnus Furenius, est quod lequitur.
Duceritur (F18. 6.) curva AC, quae hanc habet pre-
prietarem, ut, dueta ubicunque tancente BC, ter-
minata ab axe AD, portio ejus abscissa AB sit ad
tancentem BC inratione constanti, ut P ad 9.
Vocatis AB: f, BC: S, BD: 1, DC: y
4