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# Piece: https://leibnizlegible.com/api/records/405/text
# Catalogue record: 405 — [Aufz. zu Differentialgleichungen]
# Incipit: Sit data relatio inter dddy, ddy, dy, y et constantem h, seu unitatem
# Date: 1696
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=405&katnr=57981
# Work: https://leibnizlegible.com/work/00068199
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folios: Bl. 135r (from the shelfmark LH 35, 13, 2c Bl. 135r°): 1 page, canvas 269, page ids 00068199:0269 to 00068199:0269
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=269
# Lines: 29 recognised on 1 of 1 pages, mean confidence 0.85
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 135r — 00068199:0269
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000269.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
sit data relatio inter dddque ddue duu et
constantem r, seu unitatem,   substituendo
Valores pro y ponendo a, pro dy ponendo
a -b pro ddus ponendo a - 2b +C es
pro d’y ponendo a - 3b + 3C - d, habebitur aequatiq
in qua a, b, c, d,h sed rursus datur aequatio )
ubi  y, dy, ddus, et ax, et fiet rursus aequatio (4
in qua a, b, c, h, dx, et alia in qua bic, d, h, dx
ope aegg. 2, et 3, tollatur d, fiet aequatio in qua
exstant a, b, c, h, dx Et ope aegque. 4 et 6 tollatur
C, fiet aequatio in qua a, b, _, h, dx, seu quic
e = y, et b = db e a = ddus fiet habebitur relatio
inter y. dys, h, dx, sed credibile est eam non
differre i a jam data, alioqui nimium efficeretur
d x dex yddus + dydu= d(d) Ergo summari
potest yddys + dydy, a dxdx Vty dy 3ad uporde (ydus: aax
sit yddys + dydy adxdx = de.  et ydy: adx =g: a
unde y
sit jam aequatio in qua day, sa
d
yddus = dydu axdx
Sexgo
ce
il b c d
a.b bc cddek
26
C
a
aL 36+3C