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# Piece: https://leibnizlegible.com/api/records/7316/text
# Catalogue record: 7316 — Leibniz an Otto Mencke
# Incipit: Ich habe neulich H. Prof. Pfauzio geschrieben daß mich H. Bernoulli Ex
# Date: 1691-03-29 (91-03-19)
# Sender: Leibniz — Addressee: Mencke, O.
# Akademie-Ausgabe: AA III,5 N. 014
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=7316&katnr=38398
# AA III,5: 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-iii-5
# In the Akademie-Ausgabe: AA III,5, p. 158 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/III5A.pdf#page=158
# Work: https://leibnizlegible.com/work/DE-611-HS-859703
# Title: LBr. 636 · Mencke, O.
# Folios: Bl. 52 (from the shelfmark LBr 636 Bl. 52): 2 pages, canvases 113–114, page ids DE-611-HS-859703:0113 to DE-611-HS-859703:0114
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-859703&page=113
# Lines: 103 recognised on 2 of 2 pages, mean confidence 0.82
# 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 52r — DE-611-HS-859703:0113
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-859703/jpgs/default/00000113.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
Extrectshae bant an vn
el lici
us Tabe reneus se
Menchr 19 Mart. 1691
e
e
Mios. fautid fersheben
dasmus s Bernoulli Expressiari nest caeamius grargrot
immastru ne darum incst cern gia arob in massur nic darim
unse allem pretium mamis calculi (dessen ro sus dochstlbstan unus
b unhlus bodinit un vovsro, eie is, aut sunem ergenn srerbn
.
Ls
heweren san dergorhen nicst gulaerge bringus konnen) hu
promine sucsit, ondam fast uno facite plagium imputiors
geans alt ob tenglaisus ex Barrovio fonoumeris odritais
hn arimen, wentrs dochnam falct. it habe orrsensi
epugn alle praestica qu stonni und tserlo proessiet e
s
Barsovium
73 und 74 C in recaucsihens esc us
sesen bhommer parrovius sal farraginem Mheorematum
auno,
u
ans
denerali imam et commum
Ractenus perfectisimam, quae nec fractas nec sentes ira
mistgeenst
gecum uni gar
un gar
dan Methoedum Langentium
rois dons uin Corollarium memis novi calculi est. Uno pont
4
fionales cuo nec transcendentes moratur
varae abem Mor, als ob man Cartesio suldgibur ravitaso
alculus Analyticus ea ro lineas per Aequationes exprimiit, 
ex Apollonio gmommen, und en cade dy Apollonium enetosei
laro Apollonium
dast
eciest Lindur Ueritam inist osug est,
Porstisit und dabrus da ideam odrir reflexionem sat dic
die lineas per aequationes inter ordinatas et abserssas su
uto glant
strume selisus
exprimivem sent cartesu calculo gilaugen Rounc
ich noc acelcte ad euer der scassoviun, odni amvir drrfens
us
0
riptores Hrtstohit, sin memen calculo nommen soll. Docher
raeurdae uno tubs sterus reenn se Bernoulli etest
dl
rhaea
Carculi differen
us
urus ur eoition emot secundi sacciminis
dicalis isulivas birthr waere haevete, damit isstebst
verglarcs
e
A
iitlens
in breuscu est nolhius satt rem Romtus Hio
nisse ibro se prof. Hitaur su laist dasm despondi
2

## Folio 52v — DE-611-HS-859703:0114
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-859703/jpgs/default/00000114.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
uno graeare glaris sam altob r6 isa rigure Worchlau
umb uno frrueve, conquerendi occasionem hu boupsimu
lue erdami an sih selbst inbellius und bochaesceas
dast man pro meritis in publicum ab illis ipsis ipsis qui inde
fructum capiunt, nicst miae Atrum danck socum uois auzuylis
jadicia, und velut occultam plogii accusatiorem in Tosu
haben stelle Ploncte sisalt se Bernvulli dsugistaschis
eniste velaren se cum
aus bese oiro dopisu
nunisse Methodum differentialem a On. L. inventam
ex aliorum autorum scriplis duci posse, non id in animo habuiss
ac si du. Leibnitius Methodum suam ab alius sumserit, aut
nihil per eam novi praestiterit, nec pretium ejus usumque
l
amplissimum diminuere, sed potius pecimnibus datis
ostendere et amplificare voluisse. Et quemadmodum nihil
artesio praejudicat, si sicamus Methodum ejus qualineas
1
curvas certigradus aequationibus ex hibes, et ita propme–
tates earum calculo invenit, lactam esse ex inventionibus
reterum, Apolloni, inprimis, circa loca et ordinatas
accedente applicatione speciolae. Ita nihil huic Methudo
praejudicat si ex Archimedeis a Barrovio et aliis
non fuerat,
et
excultis artibuis, sed (quod hactenus factum
calculo speciosae expressis) natam dicamus. Ita
enim eundem fructum in Geometria transcendente
Capimus, quem Carte sius de derat in ordinaria, ut jam
non amplias (parsa theoremata aut problemata, sed
certam et constantem procedendi memodum rationem
habeamus et. qvationes quoque pro lineis transcendentibus
nancis camur unde omnes varum proprietates analytice
ordinatae et absebsae relationem a exprimentensi
duci possunt dum praeter potentias et radices Gastenus
usurpatas novae et necessaria quantitatum affectiones
nempe differentiae et summo varis gratus calculum ingre-
aiuntur
nam farhu se mud 8. eri josu onstrad
mastus hu dirigieus cissus, und is ceros enbus