# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0437
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0437?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 417, page id 797939695:0437
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=437
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000437.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.82
# 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.

D in p3
eomet.
Imalor
OE XS
cendi.
nium
Idé prorlus de quolibet aliorriangulo
dicendum est. Sit enim TSO; SEque inter
TSO, media proportionalis AE, vel FR;
diuidatur SO bitariam in 9, cum etiam
in P; duCanEUEquE VO. XV, YP, YZ; ice
diuila E R proportionalicer in C, e II;
ductilque MO,M C, C. velupra; CuIm
CM sic media proportionalis inter VC
O, vel VOS, ( eniim AF. est media pFO-
portionalis inteF TSO, CrIEMI C: Subdu-
pla AEmedia proportionalis inter V.
lubduplam IS, et 9S subduplam SO:
quadrocum C. C7, (ub C M, CA aequale re-
ctangulo, SV, TubVO. V X; pari modo
rectangulum SX, est aequale rectan-
ctangulo E.L; quia re FHI ad SP, id eAt, I
S ad AE, itaSZ ad ED; igitur rectangu.
lum SV maius est rectangulo SY;
idem ostenderur altumpro quolibee
3 Per
Ctan-
alia
GF,
lFC-
Tub
FK.
BErO
DSIE
10
ronineirca
Si roluaeur eriangulI OxE
alcerulatus, invenire superticie cylindei-
ea genica a linea an paratas u lo
vatabtuadcon aldc at i ed tc3 et Ia i lt taCIa
212