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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 139, page id 797939695:0159
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=159
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000159.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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.

Ea _
R, D
dC der
linea
AB,
sBP
A6,
Entia
vilis e
Poli
atum
Lionaleo
5 act
ic DB
HF
abdupt
IM
Ceomerrica
1
dec. E vero sE Cemicirculus Z LN, X
asumpeis aequalibus arcubus, Z Y X V
N, d ductis, re ante, rectis SZ,R Y,
_c. TZ, TX. RC. V Z3 P Y XC. ha
Cuncirrationales, stance scilicet expotca
TNPrater SO, D L, NZ, quae lunccom
menlurabiles pocentia YQ TP. Hlinc
etiam si commenturabilis pocentia au-
feracur commensurabili actu, V. 9. S9.
ipsi5 N, relidua, nimirum ON est ir-
racionalis, vel aloga; lic enim vocare li
ceat; rnde ipla expolitarationalis porest
diuidi, vel in duas commensurabiles
actu re TS Nvel in duas irrarionales,
re TR N; vel in duas, quarum altera
sc irracionalis, ex altera commentura
bilis cancum potencia, re S NI diuila in
SON.
13. Nisi duo larera rectariguli sine
renumeri quadraci, non lunt commen-
Curabilia lonsicudine; sic rectangulum
AC, sincque quadrara (ub laceribus A
BC, venumeri quadraci, pata g. ex 16.
erum commenlurabilia aetu, ve Paree:
ac proinde lpacium A C commenturabI- Figura
le; linc ducem quadraraD F F VE 4. 22. 36.
latera non lune commenlurabilia lonsi-
cudine