# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/57089/text
# Catalogue record: 57089 — Leibniz an Overbeck
# Incipit: Video me in nupera Epistola per incogitantiam invertisse aöiqvid.
# Date: 1716-01-14 (15-01-14)
# Sender: Leibniz — Addressee: Overbeck
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=57089&katnr=36880
# The Leibniz-Archiv's transcriptions of the letters of 1716 (pre-edition): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-transkriptionen-1716
# Work: https://leibnizlegible.com/work/DE-611-HS-861255
# Title: LBr. 705 · Overbeck
# Folios: Bl. 36 (from the shelfmark LBr 705 Bl. 36): 2 pages, canvases 71–72, page ids DE-611-HS-861255:0071 to DE-611-HS-861255:0072
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=71
# Lines: 94 recognised on 2 of 2 pages, mean confidence 0.88
# 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 — DE-611-HS-861255:0071
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000071.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
Ad du overbek Wdeltibutum
vir clarissunt et doctissime Amire (stende
video me in nupera Epistola per incogi-
tantiam invertisse aliquid. Dixi Numeras
ABCd devisibilis sit per x etiam
10000 A id est 10000+ 100B + 1gu C + 1d,
sit divisibilis per T, etiam 1A + 3B + 2C + 6 D
esse divisibilem per 7. sed debui ponere DCBA, et
facere 1A + 10B + 100 C + 1000 D, et ita si numeus
iste est divisibilis per 7, etiam 1A +3B + 2C +6d erit
divisibilis per 7. Loco 7 ad hibeamus II. Residui
si 10000000 etc. dividantur per H1, sunt 1, 10, 1. 10,
etc. infinitum 16+ 40000700
∞VD
A
Y 40 8 ∞ 60O10
e
AXA
q
(A A X. X
N
Ubi residui alternis notati sunt 
en
Hinc si quaeramus dun datus numerus 171
sit divisibilis per 136 11
ob LD C. B
e
10 tit 10.  1. 6
(10d + 1. C + BB + 1A
se
divisibilem
dee portet
10. 1 + 1. 7 + 10. l + 1.6 = 33
+17
+16
3
dividi posse per II. Hinc etiam abjectio
undenaria prodit talis, a 16 abjice 11 restat E
adde adde 5 ad 17 fit 22 abjice II. restat, _O
Et ita porro si numerus esset longior
velut
91728
7 1
Hfanoveeres 14 panncu
01000f0dtdic

## Folio 36v — DE-611-HS-861255:0072
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000072.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
1712
aec significare volui
ubi primum in mentem
venit, ne mutili non
necessardo labore tempus
perdas, in lapsu emendund
laeterum gratum ert
intelligere, an solut
mea proplematis Tui des
deno Tuo salis faciat
Rogo autem ut corrigas
voc in Epistola mea
quemadmodum etiam
logavi ut corrigeres quaedam
schediasmate praecedenti
aeterum, quia proProblema
nuper a TE propositum indiget
sa examine quadratorum numdro numeri dati quadrato
dato minorum; ut sciatur an per datum
divisi ran aliquis ex iplis per datom
divisus relinquat vatum alium datum,
et vero in his residuis multa dantur
compendra ut scis, quoniam medietas
ipsa medietas residucrum antrorsum et
retrorsum eadem est; et in quavis mediatate periodi
rursus quidam talis est consensus antrorsum
et retrorsum, hinc putem compendia in examine
attatura, ut sit minus operosum
pro quadratis etiam sufficit contonul
praecedentibus, unde residuum est idem quod residuum
ex quadato respondente
et  prout numerus datus st major
t
juum 104, 110, 100 40, 100000, et c. potest
observan, quid riper ipsum divisi relino
Hinc facile on flantur residui da quadrasi
cujusque per datum divisi. Ex. onr. quaeritur
quem residuum relinquat quadratus
poterit etiam consi Tabula huic calculo utilis
Fint Tabula qua echibsantur residui num
u
ipforum 10, 100, 1ouu 10b00, ivvovod 100000s, etc
si jam proponatur
divisorum per datos
numens quadratus verbign 2093094 (a
lalere e712) dividendus per ertus, n unum addantur
usidui ipsorum quae ex habeat
 ipso tamen lumero
majorum