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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 307, page id 797939695:0327
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=327
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000327.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.74
# 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.

lode 1l.
id 
epit
redta
rerior
escltes
retisie
IM quI
idis 
osilo
em ilio
dugille
Ia1M d
eum
Temmes
IM diB
poriB
C. ddi
1091
,VEl
d I
5A
Obs
PHile
et
1
Ceometrica.
H. vel OL; lequitur OL, OPoquales esse:
quod dicinequic erso MInon potestesse
maiOF MR; SIC autem IINOE, (I EC-
si porest licque reRS, ad RO, ita haec ad
DX. minorem OT; Sic quadrans YX, icem
V
A, ZV,OY A, ( est vERS, ad RO, ica
haec ad OX, Cum sIE VE RO adt OX, itaR
Sad PX, erit YX, aequalis RO; cum de-
muvERS adIS, itaRO ad VX, veI YO.
i PX ad 5X, erit BX equalis VZ, quod
et ablurdum,isicur Cola T, vel MI R,
vel 6F est extrema proporrionalis: hinc
tacile guadFArCFUT CIxCUIUS, (I G F inve-
niri posset. Hinc ducto nF. exiC vE AF, ad
AG, ita haeC ad GF, _ VE AO ad GF. IFA A
Had a F; igitur nF est aequalis AG. FIinc
cu AC Sc aequalis n F, Fsura snuu eius-
dem alticudinis A G habet quoque ca-
de balim GF; hinc alcirudo C,A est me-
dia proportionalis inter arcuum quadia.
tislub alcitudine re radio, e balim GF.
12. Duatenus porroquadraticis A-
gura reloluitur, (IvC iN MII, NTO, Eue in
PM. OL, eccignota cst illa ratio, in qua
elementa illa decrelcunt; ignota eriam a-
tiosolidorum genirorum ab hac Agura,
hveroluatur circa CF, Hue cirCa AO; CUnE
aurem omnia elemenra VY, YV aliaque
PaFal