# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 111, page id 797939695:0131
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=131
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000131.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.80
# 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.

3L a
A. dII
eratio
Cpea
D. C
3 t1
i quio
D.
idtA
livere
alis A,
NI
1B.
ITa ri
dD
3AAC
CD
FIO,CB
BC,
 3VI
DCrEUII.
dF,
Geometrica.
E l L
C ad B vED ad E, re lupra octentum est
BUMEL. 6. eC 7.
18. Si A est ad B YEC ad D, SE F 24
B, VFF ad D, erIE A F ad B, VE CF adD;
quia leorlim _ coniunetim eadem idem
PraeCtaNE.
29. Si A est ad B, rE C adD, d A
AC maxima, D minima, Crit A D maiOF
BC; lublata enim B ex A, SIE relidU2 F,
_ ublata D ex C, GE retidua P, exit aun
tem re A ad C, itd F 2d F, sed A est ina-
ior C, igitur F. maior F; est aurem BC
minus F, aequalis DA minus E, igieuF AD
est maior CB.
20. Si A maiorem racionem habet
ad B, quam C ad D, minorem habebie
B ad A, Qua D ad C; PRFCE Cx FCI-
minis.
21. Si A maiorem rarionem habet ad
B, quam C ad D, maiorem habet A ad
C, quam B ad D; sic enim F 2d B, VF C
ad D, erit ratio A ad B maior; quain F
ad B; exgo A maior E; ergo maiorem
rationem habet ad C quam C; igieur
quam B ad D, i. ve enim F ad C, ita B
adD.
22. Si A maiorem habet rationem act
B, quam C ad D, AB maiorem habec
28