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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 499, page id 797939695:0519
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=519
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000519.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.84
# 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.

a linea,
dle de-
ex du.
ATCFIS.
CPIO.
qua
rea Y
eppli-
aCUI
77.C
C 1I-
(15 e
DE.tris
AE la-
Ceometricum.
4. 9
dia proportionali inter lacera; sicmedia
proporcionalis data si,d VE or adt A B ita
haec ad aliam 8. Sicque compolita ex du-
plas _ ex B 2d aliarm mediam, vehaec
ad s, haec secunda media est balis cuius
quadrarum continee bis rectagulum (ub
laceribus ex semel quadratum differen.
rix lacerum; sic aurem data difterentia A
Bducatur que ex A diameter AL, appli
cerurex B basiS inventa, in BO, habco
curque erians. B05.
Probiema X X X.
Daca A C _ AO, in pOst. 5. InVeNIFE
crians. (i daCur AO, datur AS, en primum
lacus, icem datur SX, et X C id est difte-
rentia balis dc minoris lateris, qua abla-
ca ex maiore lacere; reldua es ivedia
proportionalis inter duplam XC, e dit-
ferenciam basis d maioris lareris, hac au-
tem differentia ad dica maiori laceri, Ra-
becur Da(IS, e ablataipsi XC, habetur 7.
Cid est difterentia lacerum, qua ablata
ex maiore latere, habetur inus latus.
Problema X X X I.
Data AB e FC, iuxta idem post. ine-
niretriane auferatur AB, aqualis FX, CX
FC, restat ZC Scilicet differentia basIS_
minoris lateris; ex qua (i AULCTAEULICC-
rU
ien
11O-
1
Que
isse-
Ua-
Hem
dia