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# Catalogue record: 1181 — Nova methodus tractandi calculos differentiales
# Incipit: s/1 - s²/[1,2] + s³/[1,2,3] - s4/[1,2,3,4] etc aequ. m
# Date: 1679-03-23 (79-03-13)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=1181&katnr=58721
# Work: https://leibnizlegible.com/work/00068073
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folios: Bl. 50 (from the shelfmark LH 35, 7, 1 Bl. 50): 2 pages, canvases 99–100, page ids 00068073:0099 to 00068073:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=99
# Lines: 94 recognised on 2 of 2 pages, mean confidence 0.84
# 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 50r — 00068073:0099
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000099.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 52 lines, status machine
13 Martii 679
Ergo
152
s.
+
1,2 1,2,3
8
etc aequ.  em
62, 3 1,2,3,4
5
12,3,4
32s3, 4, 5
Ergo m + Smds aequ. 5.
hc. aequ. ms
Ergo dm + m ds aequ. ds
Ergo duo aequ.  eq. ds
1- m
Sit d aequ. 2.
et de aequ. e.
Erit aequatio ad Hyperbolam  aque
hugo
 1-m
aqu. 8S seu se est logarithmus
Hypervolocus.
dideamus tautum an proposita quacunque
hujusmodi aequatione semper perveniri
possit  a ad aequationem commu
riem seu an hujgsmodi problemata semper
revocari possint ad quadraturam
in hunc ponusum examinabo problema
quod Gregorius Barrovio proposuit, et
pl
cujus ope pucat Geomenriam longe ultra
quaesentem statum proveri posse.
fidentus.
Equidem summae semper tolli possuonl restantibus
fancum diferentiis.
videa mus. m (mds
e
hujus d dat mas +  amfmas. Et ita contrnuando
in infinitum semper superert
mas nisi ponamus
a
aliquando am aequ. 1. sed quid si sit.
msimas + nm
Ima
fiet.
m ds + dm (mi + am msmas tm
Smas
it ita rursus differentias quaerendo nescr non
fedtes meliodus traltam calculos
disntiaeles

## Folio 50v — 00068073:0100
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000100.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 42 lines, status machine
puto rm su tolli posse.
Et subtati
summis non poterunt tamen facile
tolli differentiae
Optimum succurrit remedium divides
aequationem in plures novis
incognitis assumtis. Ita tandem
sed hovi remedium imuhle
s
s
Viro alia succununt
videtur
metiora
otrimum quo hescunque
Occurrit aliquis terminus
Quem non nisi una nereditur
blitera nc hunc sumamus
dm
pro cognito, ut 
cem m
Deude variemus Usi cum irrationatitate
Aist tum quo tollimus, quando pervenitur
ad rahonales pattes eas pro cogntis assumiam
et un lierae aequales ponimus in reloquo
dende
obtinere aequationes differentiales ex
Calculo
una eademque paerposita quas inter se com
parando dicebit
a
sollece quuaedam
incominvia. Ita sit
aequ.s
M + m Mas
inde fit: amt m smas+ M ae 
sed quia scuibi etiam potest: 1+ Sm as aequ. s. hinc fiet
a+ in Ls aequ. Sdu = M as. unde hac methodo jam
2
1
Hac ergo methodo
habetur resolutio priore nondum.
non dubito quin semper exitus obbneri possit