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# Piece: https://leibnizlegible.com/api/records/36636/text
# Catalogue record: 36636 — De condendis tabulis analyticis
# Incipit: Tabulas habemus Numerorum
# Date: 1675-01
# Akademie-Ausgabe: AA VII,8 N. 022
# Other printings: Knobloch: Beginn der Determinantentheorie, 1980, S. 146-147
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=36636&katnr=Cc2+898
# AA VII,8: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-vii-8
# In the Akademie-Ausgabe: AA VII,8 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/LAA-BdVII8.pdf#22
# Work: https://leibnizlegible.com/work/00068196
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folios: Bl. 440 (from the shelfmark LH 35, 13, 1 Bl. 440): 2 pages, canvases 875–876, page ids 00068196:0875 to 00068196:0876
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=875
# Lines: 40 recognised on 2 of 2 pages, mean confidence 0.92
# 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.
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# 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 440r — 00068196:0875
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000875.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
Januar. 1675. De Condendis Tabulis Analyticis.
Tabulas habemus Numerorum, rectant Tabulaes literarum, sive Combinationum
dedit nemo. Quaerenda ergo ratio est condendi Tabulas ejusmodi, qu ut carum
usus quam latissime fundatur pateat.
sive Aequationibus 
Pars Ima de Formulis, unius incagnita
isi Praemittatur omnibus Methodus investigundi divisores Rationales
pariter atque irrationales, sed dimensione inferiores; aequationum unique incognitae
Pars Jma de Aegratio  unius incagnitae, Aequationum unius incognita raadabus
in Hic recensebuntur ordine omnes aequationes unius incognitae ad gradum usque
vicesimum si placet, et quidem generaliter atque indefinite. Earuqu v.g.ad
pro gradu tertio X et a + 2b X et a X + ba bX + a X
cujus radies  radires irrationalls generaliter, et una formula Cope
signorum ambignorum) ex hiberi potest; idem in fiat in caeteris aequa
fionibus om
sitionales Sed quoniam in altioribus inprimis aequationibus
incognilae aequationes mut multis exprimi possunt modis, suppositis
de n ppto
pare II. methodus curestis audi aequasieni
Tabulit Q V Methodus trunsformandi tollendi ex aequatione
gradu inferiores.
terminos quot licet. praescripti in eam rem formulis generalibus
ut res sine calcula fiat.
Methodus reducendi aequationes
locorum parium ad proxime inferiores locorumiparium. Methodus
efficiendi ut omnium aequationum radices fiant verae; item
Methodus reducendi aequationes ad alias cuferiores opequarundam
intervementium.
nRegulae de aequationum limidibus;
de resolutionibus aequationum in Hautg Analogias et formularum
in portione, sed hoc ope calculorum qui sequentur seu apereta
formularum plurium incognitatum. Unc alia a genus.
pars 11. de. Aequationibus plurium incognitarum reducendis ad aequationes umius.
sit aequilio asccendens ad cubuni quaedentum a coga solidum incognitum; conjungatur
primum cum alia quae non ascendie nisi ad  lineam incognrtam deinde cum ea in
qua nonnisi lnea et planum incognita, tertio cum parii
Tolum cusumdi Tabulae condendae artificium in eo consistet,, ut sequentia praecedentibus
perpetuo juventur. itaque primm smplicibus admodum uleudum est aequationibus, sed multis.

## Folio 440v — 00068196:0876
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000876.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 2 lines, status machine
eine
dditt