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# Piece: https://leibnizlegible.com/api/records/60657/text
# Catalogue record: 60657 — [Aufz. zur Algebra]
# Incipit: Sunt quae promittunt aliquem successum, et tamen locum habere non poss
# Date: 1676
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60657&katnr=57644
# Work: https://leibnizlegible.com/work/00068197
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folios: Bl. 79 (from the shelfmark LH 35, 13, 2a Bl. 79): 2 pages, canvases 157–158, page ids 00068197:0157 to 00068197:0158
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=157
# Lines: 32 recognised on 2 of 2 pages, mean confidence 0.71
# 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 79r — 00068197:0157
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000157.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine
sunt quae promittunt, aliquem suecessum, est tamen locum habere non possunt.
sunto duae aequationes viraque qualuor incogulamm
et lx + my + n  +p
=0.
bytcdr
Multiplicetur illa per 11X + 129+13Z + 14Y
bx + cy + dZ + ev = 0
et haec
per ZIX122712+24)
producta duo comprnantur in unum, fiet aequatio in qua ope assumtitiarum 11, 12, 3, 14
e
y
21, 22, 23,24; tollantur termini LLVV, LV, AZ, XV, 9Z, y0, numtro septem, ita ut
ili supersint termini A XB, Xy, yi. Quod videtux succedere, quia proseptem
ollends terminis sunt octo assumtitiae quae revera reducuntur ad septem. sed si hoc
succederet, haveretur Xiy ex datis. Et pari jure, haberetur
e
 V
Uno
et ratio inter duoquaecunque ex quatuor X, 9, Z. V. Quod utique non licet
Nam, uto, ut V, sumlo quasi oconrito, darentur tres caeferae quantitates
L. l
exlus duabus Equatioribus quod utique fieri non potestt. qaque dicer
sum est assumtitias esse tantum in speciem sufficientes.

## Folio 79v — 00068197:0158
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000158.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 8 lines, status machine
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GOTTTHIED NILHELM LEIBNIZ OIBLIOTHE
NIEBEKSMCTISCT EBESBIDHDMHEK