# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 10, page id 797939695:0030
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=30
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.91
# 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.

te
Synopsis
libet numerus in lc iptum duci potest, purd
2. in 2. productus erit 4. en tibinume
rum quadracum; e hic in 2. productus
erit 8. en cubum; e hic in 2. productus
erit 16. en quadratoquadeatum; et hic
in 2. productus erie 32. en luperlolidum;
et hic in 2. productcus exitc 64. en quadra
Locubum; aeque ita in infinitum. AC PrO-
fecto numerus in numerum ductus, vel
reverius dicam, per numerum muicipli-
cacus, non producie diuertum quantitatis
genus; nempe quanticas vnius generis
nullum habet proportionem, nullam dicie
cacionem ad quanticatem alterins generis;
velinca ad lupert: ciem, et haec ad tolidum;
cum tamen quilibet numerus ad aliuum
proportionem dicae; unde proprie lo-
quendo,in arichmetica, nulla est quantitas
duae proprie quadracum, aut planum, aut
cubus diciqueat: ponamus enim hunenu-
merum 3. ducatur in Cciplum, productus
exie 9. id cA, nUerUS 3. CeI TU pEUS; VD-
de Sisic linca 3. Dedum, cer lumspea Lacice
dincam g. Pedum; mance igieur sub genere
dincae;. X E ex linea erium pedum quadca-
cum 9. Pedum producas; non iam lincam
erium pedum in longirudine, sed planum
sres pedes lonsum, ec veum pedem la-
cum, mulciplicas per se ixtum; id est, ter
il