# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0181
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0181?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 161, page id 797939695:0181
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=181
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000181.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.80
# 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.

araB
IIn B
DI
culo
Mlu
equ
D, V
1A
10
rIruII
PId
IPd
Idra
c lul
COH
ipla
Ceometrica.
=BI
HIP, inde necelario lequitur, quadra-
cum luo tota diametro lphaera contine
re quinquies quadeatum HIP; unde (
quaelibet recta TZ diuidatur in 5. Par-
ces aequales, de facto lemicirculo, ducan-
FIFXS, TS, Z S; CUM I Z SIC ad Z
Srchacad ZZ, quadrarum TZ Cst
2d quadratum Z5,VE IZ ad XZ; igieuL
vE 5. dd 1. erit igitur Z S Cemidiameter
Circuli RLMNP a TZ diameter (phX
rae est autem latus icolaedri PN irratio-
nalis. Ctacuta diametro sphaeraracionali
2. Lacus Dodecaedri eAt etiam iera-
tionale, s comparetur cum diametro
Sphaerae, cui inscribitur; quod breniter
Octendo; sic cubus A C divicantur IE F, Figura
RC aequalicer ductis OV, HIZ, QB; 45.
diuidatur OH in extremam e mediam
rationem in P; icem OZ, in S, Q HO
in N; ita VE P, OS, MN, Cit maius
Termentum; catuatur crecta OP in P,
OSinS, MN, in N; ductisque ab
extremicatibus crectarum in PS, rectis
adK, F, & ad se invicem; item ab ex-
cremitare erectae in NI, ad R, F; CrunE
omnes aequales; nam quadrata toriusO
Aec PHI contineant ter quadracum O
P. velerectae; isicur quadeacum R D
Continet