# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0143
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0143?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 123, page id 797939695:0143
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=143
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000143.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.

aQuidue
pluS veri
baliSV
D, BD
L, FBI
M ED.
Cum en
ed qua
IrS duon
illiusi e
IaM dde
Vna qu
res qual
E Tunt
AF
elquidli
aM aq
ulio, pat
Geometrica.
Corollaria.
2. Ilinc rectangulum cuius balis di-
uila est in quorcumque legmenta, a qua
le est omnibus rectangulis, Cub iildem
leomentis, e alcicudine; sic IN, cuius
bals diuila sIE in RL, dUCAHEUERP, LO,
rectangulum IN est aequale rectangulis
IPSKO, LN.
2. Icem dictum rectongulum IN
adaequat quadratum LT, lub bali IMI, X
rectangulum VH, Tub cadem ba-
(i, _ T N differentia balis de alticudi-
nIS.
3. Trem quadratum YZ, adaequat
Cummam rectangulorum SR, SZ;
lub latere, de legmentis alterius lace-
215.
4. Silinea AB secetux aequaliter in.
igurae
C. de inaequalirer, in F, quadracum (ub 29.
C B, nimirum CHI, adae quat rectangu-
lum AI, Cub Ceomentis inaequalibus A P
Birna cum quadrato LC, (ub CF incer-
media sectionum; quia AL est aquale L
HI ergoOCIEHI aequale AI.
5. Si linea M N sccetur bitariam im
ec ipsi addatur quaepiam, ND3
quadracum DO, Cub V D compolica ex
2
dimidia