# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032704993:0049
# Permalink to this reading: https://leibnizlegible.com/page/1032704993:0049?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 43, page id 1032704993:0049
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=49
# Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000049.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.92
# 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.
omnibus in dy, Fiec, ydy - rdy + r2d ∞
acr; ac tandem ex natura logarithmicae
Facto zay ∞ raz sumrisque inteoralibus erit
3y = ry + rrZ ∞ OmB: Xdy ∞ = gy = rX 
(juxta aequationem lictera A nOtataM :)
quare HCE Ky = ex ∞ rZ: Scd modorcperra
tuit cadem Ky = lex ∞ er = rZ, quare rZ ∞
er = rZ 8 2 k ∞ Z; unde cum k hac in con.
Aructione Tic determinata, etiam Z ICu CB
decerminata crit, adeoque ad rectam ipti
AB parallelam, non aurem ad logarithmi
cam. Ouod conveniens D: Ruchoris in-
tento non videtur.
Si vero aequatio Logarithmica nOn DeF
Rdr ∞ rdz. Ced per hanc = 2ly ∞ rdz (qua-
lem D: Marchio Frospicalius, Anno 1693,
mense Junio pa5. 254. aUIE) explicCEr;
aliud absurdum emerget.
lix quibus tandem methodum quidem
meam a Bernoulliand differre, verum etiam
ad ea, quae methodi Leibniciana Faciliora
cenencibus, vel iplius D: Inventoris judicio,
nacceca crant, directeme manuducere per-
Spexi, insimulque non sincrarione sperare me
Dosle conjiciebam, modum, quo hactenus
in intinicelimali calculo utus sum, Iteratis
diste