# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/23792/text
# Catalogue record: 23792 — Leibniz an [Teuber]
# Incipit: Gratias plurimas debeo, qvod animum ad Transportationes Machinae Arith
# Date: 1712-01-03
# Sender: Leibniz — Addressee: Teuber
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=23792&katnr=35186
# The Leibniz-Archiv's transcriptions of the letters of 1712 (pre-edition): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-transkriptionen-1712
# Work: https://leibnizlegible.com/work/DE-611-HS-867450
# Title: LBr. 916 · Teuber
# Folios: Bl. 1–2 (from the shelfmark LBr 916 Bl. 1-2 (=35185)): 4 pages, canvases 1–4, page ids DE-611-HS-867450:0001 to DE-611-HS-867450:0004
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867450&page=1
# Lines: 120 recognised on 4 of 4 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.
# 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 1r — DE-611-HS-867450:0001
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867450/jpgs/default/00000001.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 16 lines, status machine
Der Ellustris ac Magnifice,
Domine et Patione etatem colenve
d hic juvicio Excellentia sciae Teutamen aliquod denue cir
ca Machinam arithmeticam, quo promotionem decadicorum in
aliud tympanum, eodem momento, ubi nevcose, prestare crederem.
Non meum est, Sed  Tuo stupendae artis, iivento, conflatum.
Solum a negotium consistit in Tribus, gunique dentibus inftacutis, rotis A. B. C,
sibique firmiter impositio, ita, ut mota una moveantur et reliquae. Intima
C et media B gaudent eadem diametro cum omnibus alis, ex quibas
tota construitur Machina. Suyrema vero At fue duplicata, (fere
inquam, ut pro aveis crassitie D, qui dympanum P. Ccribum numono no,
tatum, portat et promevet, aliquid demettreat. Pota funcamen
aliam
talis C, quae mordet tympanum sibi afsixum habentem S, movel et
adhuc aliam intormediam alternantem r. 5., Et dum dens Be.
super roda s’aectens in puncto siptrae, mediam illarum trium B.

## Folio 1v — DE-611-HS-867450:0002
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867450/jpgs/default/00000002.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
decima sua penpileriae parte ab x ni y protrudit, eodem momento rota niter,
mecia G arripiel dentem, ii infima C, provenientem Z, et itidem ad des
cimam patim urgebit. Suprema vero A. (cujus dontes cum Madia B, ratio,
ne plani verticalis, coincivant necesse est,) prexime adstantio tyorpani
rotam Jmordens, ad guintam partem, (si 3 proprio careret motu,) np. ca
B in M sccum raxiel. Onterca a. dum rota 3. (cui alia ejud magnitudinio
ep rotanse, mobilis, subjacet,) eodem monento, vi, mediate a de concepti,
modus, tqe propini ea L. mi e movetur, Eaimirium illius p. s0 absorbetur, ideoque
rota A. unicam tantum decimam, motui retae s, addere, petis
orelibet or rotarum, pinnula oua, ut debito pexsistat sitce, sit nistru,
obgaerandum
eta. Denique et hioc scitu dignum, quod omnes rotae X GC, quarum
centra in linca O3, verticales; ii R vero, honzontales, concipienda
illa moventur a cochlidiis, hae vero ab illii
didebis igitur, Eexcelleatissime Patrone; num placeat et votio respon
deat hoc tentamen, nec ne?
Domino Ruchlmano, ex mandatii Tuis. dedi d 5 du pecuniam, et qui
dea. A8 Impales, tot enim popascit. Dab: (17 C ac dccemb. 1711.
Per Ellustris Nomin. sui
addictiisimus (ultor
MGothotedus Seaberus

## Folio 2r — DE-611-HS-867450:0003
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867450/jpgs/default/00000003.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
Vir maxime Reverende et seleberrime
Faulor Honoratissime
Gratias plurimas debeo, quod animum ad Transportationes Machinae Arithmeticae
ingeniosi ace congepti
promovendas adjecisti et delineationem modi quem concepistr ad me misisti. Quem
et discectienda
quaero
considerans quaedam adhuc quaenenda reperio. Primumquid prositt rotae e et G.
Nam si rota F propellit decimani partem rotae B, et rotae A et B ita firmiter sibi
sunt impositae ut mota una moveatur et altera, utique simul propelletur et decima
quaero.
pars rotae A, quae quintam rotae i secum aget Secundo quid siat si rota K
ipsus
quiescat, et a cochlidio, suo non moveatur, quod saepe sit, veluti si cochlidium caccomme
datum sit ad 0. F tunc I propellatur per quintam partem seu binas m
Rota
unicates, cum tamen debeat solum propelli per u decimam partem
Tertio
quoties ponimus ponimus rotam q simul impelli a rota A et a rota K nop
agentis majot dideo quomodo  ottinetur ne hi duo motus sibi obstent, cum eodem
quaro
momento rotae i dentes pellant in contrarias partes; et nec Nota A patietur
a
rotam i quam per binas decimas impellit, per unam decimam repelli cum
utique amba motus si rem bene capio, simul fiant. Neque ut in motibus compositis
solutorum traque suum producet esterum, sed sibi b en impedimento
cmapocilit
um nihib in rebus hamanis tempore sit pretiosius, et ego inprimis hac
pruns
atate ejus parcus esse dibeam, top- rogo vir maxis everende, ut si licet
mihi quanprimum respondeas; uti
constitui possit; novum aliquid aggredi
anvetus (nonnito fortasse mutatum) exequi praestet. Vale d
Mero literas quo ad du. Bucita
C
quas libi commendavi recte redditas
fuisse. Quod superest vone X fave. dubam
potius. achiberetur
pri d rotami in easdem partes impelleret, in quas eam impeslit rota k, et u
ume
si r circe axem ipscus t esset aliase rocu solu congrensaxi, sed solutitie sobaebiliter
Equidemsi nota Avet nsdiatus 
uno peule ampliis.
dpElasti, seu ut circa eum o adhuc agi pposset, ope hlastr atque ila
promoveri, quam impelatrola R. sed si plures simut nansporlationes
4uqq t sensire debent in 10000
et func tamen res deb nour ille motus transporlationis
continua essent falsendae ut cum
non posset fieci eodemmomento quo fit motus ordinarius veniens a K, sed
Sed
in seporin particula aliqua temporis diversa sed ita tamen non afforet tempus
res non procederet
sufficiens ad plures transportationes simul reaagendas, veluti cum 9999q debet
His incommodis praecavetur meo illo
sun ta pureitare  qu ate a sui
tempu
unisolit additione transire in 100000
modo jam praestitu
uodo
Ximielam
quand
numeris
Coinidiu, stotam
st numero
cocilidii rotar
K agentis
Name

## Folio 2v — DE-611-HS-867450:0004
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867450/jpgs/default/00000004.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 16 lines, status machine
Equidem si rota A circumponeretur Axi D, vel ejus dens longus acti
beretur affixus Axi d rutami mediate vel immediate impellens, eam in
eam
easdem partes impelleret, in quas impellit rota K. ita duo mobus sibi
non obstarent. sed tamen non ideo rota 1 acciperet progressum binctum
lentium unius a k, alterius ab A, sed dentis unnis tantum quia simul agereat
ad idem.Quod si vellemus non simul agere, sed efficeremus (verbi gratia)
quod si gellemus ut postquam AK suum egit etiam A suum agati
dividaturque adeo recima circuctionis
muis in partes duas. Ees quidem fortasse procedet pro una traasportatione
reberent, v. 9. si 99994
sed non plo pluribus, quae eodem tempore per omnidifficgitat
jam adhibito, quando transportationes differuntur intempus vicuum,
inn
quo cochiidia nonaguet
inter