# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/39369/text
# Catalogue record: 39369 — L, Unterredung mit Johann Jakob Ferguson
# Incipit: Si in curva ejusdem plani ad easdem partes
# Date: 1680
# Akademie-Ausgabe: AA III,3 N. 43
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=39369&katnr=39002
# AA III,3: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00067993
# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folios: Bl. 120 (from the shelfmark LH 35, 2, 1 Bl. 120): 2 pages, canvases 239–240, page ids 00067993:0239 to 00067993:0240
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=239
# Lines: 68 recognised on 2 of 2 pages, mean confidence 0.79
# 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 120r — 00067993:0239
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000239.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 30 lines, status machine
 seu ambitus
inscripti
polyqoai
ejusdem plani ad easdem partes,
Si in curva quacunque in plano existent
dueant assumantur puncta quolcunque quorum
duo quaelibet proxima duca jungantur inscriptis, sive
chordis et per eadem puncta ducantur tangentes doncc
sibi occurrant, quae tangentium portiones dicantur
circumscripta, ajo id continuari posse donce
aggregatum omnium inscriptarum, vel etiam aggregatum
omnum circum scriptarum seu ambitus polygoni circum
e
scripti differat a longitudina curva minus quam
quae libet quantitas data
et praeterea polygonum tam
quam circum scriptum differant
quadrili curvitine quantitate minor
item si loco polygom
inscriptum
a ipiso spatio
quavis
sumatur
V
e
C
data
Spatium gradisoru
2
120

## Folio 120v — 00067993:0240
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000240.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 38 lines, status machine
ad
- Xx ∞ c- 3 accx + 2an cxx-n
b - c2x itata - 3+cfX
XX - Z X ∞ b = ct
aac
sec
aaa Et 1b - 4c 4 57
qaac
4b - 3c7
12a ∞ va
2 + 3b rer + 2b a + b
2d - 3b nex + 3 lx = b
6bxn +2b ∞ a
b+ 3bb4 + 9b ua + X3 Xn + = Xn+
1 - 3bb a +3 b. Xn - X 3
XX∞ 
6bbx + ea2 x 4 a.
26 + 6 bux
na + 5bb ∞
1
- 2 b
- bb ∞ 26cc
a - 263∞ 216bcC
12 bl x 16bb - Abd + dd
abdx 4bb + dd
6 x bb = 2bd -
a-
Xx +  b ∞ a
d∞H
s
ac
2
172
2 + v - 362 = 3v
- 4301
1 + ∞ - 22 = 300
1 + 31
11 +C