# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0153
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0153?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 133, page id 797939695:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=153
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000153.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.83
# 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.

aliume
b. DECi
eUM MB
Quadea
ad 12.
Cia Ca
niteri
lbilis,
cer sei
cexles
CuI G
MuIest
lum 1
AIVero
DuM e
lune1
ngiuli
deliH
Mell
Geomerrica.
media proportionalis, inter VR, TR,
cuius scilicet quadracum sic aequole
VS; vocacur media, de rectansulum V
S, vel quadratum aequale, medium di
Citui.
6. Si line duae linea commenturabi
les porencia cantum, pura C A, A H,
coca A K est prortus irracionalis, cum
VITaGUO COIPATACa; roCatUE autem
rulgo binomium; id ett, ex duobus no-
minibus, leu duabus rationalibus com
polita; rnde rectansulum (ub IC, C, F
id est lub irrationali e racionalis irratio-
nale est; item lub veraque rationali po-
cencia cantum, v. 8. rectangulum PC:
ac demum sub altera commenturabili
actu, de altera commenlurabili porentia
tantum re DB; Ctatura AD re expolita, vel
RD.
7. Ouo leomenta rectae dinilae lunE
magis inaequalia, Cumma quadeacorum,
lub veroque, maior est; sE AB divila
aequalicer in C, d inaequaliter in M. L, R,:
_ DC perpendicularis aequalis AC;
item HIB; ducaneur demum A D TI, D
B, MF, IF, IC; ita se habene quan
drara legmentorum, ve le habent trian-
cula proporrionalia; ec quadrara (ub A
3