# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0146
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0146?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 72v, page id 00068200:0146
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 78r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=146
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000146.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.82
# 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: the recognised lines in reading order, one per line.

Si in toto circulo (nam in partibus nimpossibile est) haberi posset
relatio polygoni circum scripti ad inscriptum simile, non obstante eadem
non obstante laterum numero, hb seu si ex ambitu polygoni circulo circum
scripti, haberi possit polygonum circulo inscriptum, hab simileus ignoto licet
siratione
numno laterum. daretur quad ratura circuli
Ponamus dari circum ferentiam ex radio, (quod fieret haud dubie numero
rationalis vel irrationalis, ad numerum) utique quoniam ex numero laterum
dabitur etiam ex Polygono aliquo circum scripto et numero laterum. Ergo
ad
cet
dabitur etiam ex polygono simili inscripto atque etiam numero laterum
N2n
quia ex singulis datur radius. Hinc numero laterum sublato ope
harum duarum relationum, dabitur etiam relatio crcumferentiae ex
duobus polysgonat.. Sed numerus laterum Sed dubito an numerus latem
tolli possit, quia ingreditur in exponentem.
e
sectoris
Ex praecedentibus: relatio Polygoni inscripti ad circum scuptum
interveniente radio (id enim non determinata portione cuculi
quem sector facit, necesse est) huc redit: sit numerus latem
n erit. d ABD+DC. polus g. etiluumsc., BD + DC
seu
BAN BF polyg. inscr.
BF Va-
b2
Et polygouum quaerendo inscriptum sequens ex praecedente, quod
sit e. cujus unum Z tatus exer BG sic facile invenietur
+2 b + GF 1
L
2n
an 2a- 7a14
si sunt polus quna con similia: b
similia proximae
est autem GF+  a - AF, et AF, a-
4r2) + ae - a- 1 b 4 a
ergo s
ergo exi
x
insc.
trc.
1
qn
C. Ergd2a-2a-
1 qn
erit eti
Sd
2be
b + Ybd
e
b + C
lu
c
en
Area solygoni circum scripti est da. posito d esse ejus cucumferentim,
Sed area polygom inscripti est ba AF, vel ex BA in CA, CE seu
ut a, in duplo majoris laterum numeri polygonos inscripti ambitum
oe