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# Piece: https://leibnizlegible.com/api/records/998/text
# Catalogue record: 998 — Bernollii problema Act. Lips 1692
# Incipit: Solvenda est aequatio adcddx = (1) [dy]³
# Date: 1692
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=998&katnr=58580
# Work: https://leibnizlegible.com/work/00068051
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folios: Bl. 36r (from the shelfmark LH 35, 6, 6 Bl. 36r°): 1 page, canvas 71, page ids 00068051:0071 to 00068051:0071
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=71
# Lines: 29 recognised on 1 of 1 pages, mean confidence 0.81
# 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 36r — 00068051:0071
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000071.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 29 lines, status machine
hernellis
problima
et. li
b9
Solvenda est aequatio a de ddx = dy posito dc esse
conitantem eamm elementum curvae, et quidem constans
(2)
2
Itaque ax + dy = dc adeoque axdax f dyddy =0
progressionis arithmeticae. Sit (du
:vZ
erit tia numloq
ea
edalou et via num
et  V. a num. set Ergo dc: a = d0: V. et si C arithmetia
sunt v comelirei Ergo do: vo= x +di: a a. Ergo differentiamo
ut
oelatur V et e v:a= do: x +dy. Ergo ob dx +tus constant
ret  dd ddo. duxrau ed
a dc ddx - ax dax: ddue 3..
adue = - ddx dx. 3. atdaq
ex Er
et
3
ddv dc: a. Ex aeq. 4 et 6. fiet
iat dais
a de dx)  dv de = -a ax3 dax seu ddvic D dc =B adx 2- dx dx
i d+ = d_ firi dar de Y . Ic. = +ddZ  17de adeq
a c Idc =  d5  de + nde