# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0483
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0483?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 463, page id 797939695:0483
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=483
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000483.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.76
# 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.

eio
Ua.
eta
Mi-
23
12
ex
i
1
Eta
GIE
IIa
ii-
13
d
M2.
1
e-
73
17
d
Cd
de
L.
Ceometricum.
465
infinica linea opusfore, qua aggresatum
omnium linearum adaquarce tertio po-
test etiam inveniri linea recta, qua
ddaequet aggregacum omnium linca-
RUM G FS E HI, R L,MO, NI, 8
qua revera erir ad F. (Dre CF ad CF, ve
paret.
76.
Pari modo data progrectione infini
COrUII QuadFAEOTUM CONTIHUE PEOPOE
tionalium, secundum rationem minoris
inaequalitatis, dato primo ee secundo,
inveniri porest rectangulum finicum, (ub
alricudine primi quadrati, aequale 25-
gresato omnium quadratorum; (IcPrI
mum quadeacum, TS, Secundu verO
XV; SIEVET X, ad X Y, icahaC ad XZ;
erie quadrarum TS ad quadratum Z V,
Ve TX sad X Z: duCACUE XV, TuM Z9.
e per O ducatur recta S s, pertecto-
que rectansulo Pus dico, cAc aequale
aggresato dictorum quadratorum,
nempe ve quadrarum ZV est aequalere.
ctangulo Xn, ita ex lingula quadraca sin-
sulisrectangulis; igicur tocum rectan-
sulum Z u, quod adaequat asgregatum
rectangulorum, adaquat agGrezacuI
quadratorum; cum aurem latera qua-
dFaTOTUI