# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60552/text
# Catalogue record: 60552 — Pulchra cautio circa methodum de maximis et minimis
# Incipit: Si reperiantur duae curvae sese tangentes
# Date: 1679
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60552&katnr=57450
# Work: https://leibnizlegible.com/work/00068196
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folios: Bl. 169 (from the shelfmark LH 35, 13, 1 Bl. 169): 2 pages, canvases 335–336, page ids 00068196:0335 to 00068196:0336
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=335
# Lines: 82 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.
# 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 169r — 00068196:0335
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000335.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
1
purchra cantio cica methodum
de maximis et minimis
reperiantur duae curvae sese
vel alterutra
tangentes.  quae amba onantur
ex pupposita arcus longitudine
poterit reperiri geometrice
punctum contactus: imo
dubito an ia sequatur.
Maxima opus cautione in cilculo
differentiali, seu circa minima
et maxima
suit enim quada
minima vel maxima, quae per
tangentes quari non possunt
quae scilicet non oriuntur ex duabus
licibus aequalibus.
ex. g. sit
AbR quadrans
sit.
DCF
linea tangentium
er
at
complement,
ita ut arus sit
Lirgens complement artu
AD. sit et slinem
crcuva pr AN Pa CP  aaequalis
aregr AC patet alicubi sccari lineum arcum
a linea tangentiam compt. ndempe in N. eig
ibi differentia tangentia pplement et
17
ar
e

## Folio 169v — 00068196:0336
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000336.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
punum est nulla adeoque omnim aliarum
vumma.
quaeramu 
a sit O. tangens qpl. et a s
urc eint dan  a erit
da aeqo ut alibi ostensum
et 
1 F. 92
: jam sit  4Ja
est differentia. Ergo
arquy. quae
sum
qa da
aqu. dus. jam incasu conactus est
Ei minimi d est aqe aequ. 0. per regula
e mestiodi de maximis et minimis
∞
rgo st db aequ oa pen
D2 +1 aequ. l. quod est impossit
inergo Metlodi demaximis ete
um
ominimis falsa Minime describum
doscuroum differentiara inper beta
utoque
videtur
und
deru ubi scilicet
minima est
B, ibi axe
tanget ergo
e
melhod
tancentium
poteritm venu
1
puncti Bhi.
quod tamen falsum deprehensum
sed jam video ratione sophismatis
deNon ibi axis se tangit curvam
cupa, sed secat nempe vebet et
oretransire in allecuu lato 
versus (C) non vero hic reflecti
versu
C. Catemus ita instimendus
ista ex calculo appareant
ut