# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/55411/text
# Catalogue record: 55411 — Leibniz an [P. Aug. Thomas à S.Jos.]
# Incipit: Gratulor tibi de Cubico Magico
# Date: 1715-12-08
# Sender: Leibniz — Addressee: Augustin Thomas à S.Josepho
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=55411&katnr=23184
# The Leibniz-Archiv's transcriptions of the letters of 1715 (pre-edition): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-transkriptionen-1715
# Work: https://leibnizlegible.com/work/DE-611-HS-867168
# Title: L Br. 827 · Schöttel, Th.
# Folios: Bl. 33–34 (from the shelfmark LBr 827 Bl. 33-34 (S.3) (=23181;37739)): 4 pages, canvases 65–68, page ids DE-611-HS-867168:0065 to DE-611-HS-867168:0068
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867168&page=65
# Lines: 238 recognised on 4 of 4 pages, mean confidence 0.62
# 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 33r — DE-611-HS-867168:0065
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000065.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 33 lines, status machine
Lerillustris et Clarissime Dne.
Tmennium jam elapsum est a jucundo Lille
rarum consortio, quod nos, ignotos alias. Pienne
V
amicabili glutino conjunxit, neque id in me
em
ronga licet locorum intercapedine erga Perill.
n
D. Suam dissolutud, quinimo per repetitam
-Pa
toties sacatem, et jucundam, plansibilemque mei
11
in suis ad D. Schottelrum Tru memoriam magis,
magnus coagulatum est. Cur renovationi ausam
praburt imsigne Problema Arithmeticu D. de sauveur
de construendo Cubo magico imparium cellularu
C
in quo singulorum Planoru tam Horihontalium,
p P.
quam erricaliu, et Dragonarium Summa sint a.
quales. Et qua mois D. Proponens Canonem
suum tantum Cubo 125 cellularid, quari radix Cu–
fica 5. adaptaverit, ego tamen eundem extendi
ad omnes lubos imparium cellularid; quorum
duo saltem paradigmata, 27. et 125 cellularum
va jam communicavi, quae omnino de
Serill. D. V.
bebunt coincidere, cum yt, quae ipse D. Proxonens
extraditurus est. Laudabilis sanc et ingeniosa in-
ventio Dui de Sauveur circa Cubos imparium
cellularum; utinam vero etiam parium, quaru
latera Cubica 4. b. 8 etc. At vero in his Canon D.
de Sauveur Locum non habet. Ratio est, quia

## Folio 33v — DE-611-HS-867168:0066
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 34r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000066.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 34 lines, status machine
in Cubis impariu Lateru omnes numeri progressionales
alligantur ad aliquem medium, quem Proponens expri
s
mit per M, m, p. In Cubii vero parium Cellularum
medius hic numerus non datur. Opus ergo erit alio
et distincto Canone pro Cubo parnd Cellularu, ab illo,
quem pro imparibus celluls adinvenit D. de Sauveur.
Hunc ergo quia ego adminiculante Divino Lumine
adinvem, mitto nunc Zerit. D. Y
a nudam Propositio
nem ipsi D. de Sauveur, vel. Si placuerit, toti Regiae
Societati Scientiarum communicandam in strenam
subsequentis novi Ani 1716. Quem nunc (dilato
in aliud tempus paradigmate) Perill. D. Va faustissims
cum bonae valetudinis, anarumque calestiu gratiaru
affluentia animitus advoveo, meque pristinis affectibus
commendo
s
a
Lermustris Dominations V.
L.d. Si placuerit mihi
rescribere, id commode
mu
Servus obsequios.
L. Aug. Thomas
Scholar Piar Vice-Rector.
fieri poterit e D. Schôttel.
problema Arichmeticum Omnibus Arithmeticis praecipie
ubum parium collularum construere in numeris rationalibus
in quo singula pana tam horizontalia quam verticalia et dias
Regiae parisierisi societuli scientiarum in strenam Auni 176 propositum
natia referant eandem sum mam. portet autem insingulis
cellulis ditersos numeros collocari
oina dete.

## Folio 34r — DE-611-HS-867168:0067
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000067.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 26 lines, status machine
Gratulor Tibi de lubico Manico non impa
rium tantum sut salo ator fecit, etsi non ostendent)
sed et parium collarium invento.
ut aliqui vider possit inserisitione omisa,
nempia quod omnibus Arithmeticis prostona
tur; et straesertim quod proponatup ipsi Regia
endemiae scientiatum Nam neque vacat
neque  tubet omnibus Anhinetc hoc agere,
etsi possent quanquam fateor panci possint
aut ejus rembras tanquum esembris
et ipsi Acadeuie Reria problematu stroponi non
es
Solent. Illius est potuis judicare de slutionitus (quam
suo publico nomine aggredi solutiones.
ittam tuum probema parisios, sed fastuosa
aut plis prititmetcsid
nicubam ergo sipatens.
problema AAriphmeticum Curiosis et intelli
gentibus interiorum scientiae Nmericae in strenum
tnni 1710 propositum
Quia nis in ymeris rationalibas
non veto aliis in iut intigus, pro
u judicabu satis fieri etiam per fractiones
rationales. Itaque quaero an non efiinterr,
possit, quo posito id addere operae pretium
ent soret

## Folio 34v — DE-611-HS-867168:0068
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000068.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 145 lines, status machine
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