# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0443
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0443?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 423, page id 797939695:0443
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=443
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000443.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.70
# 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.

celiber
SC IB
Caita
ALGI
2: l1C
11.
1
Pol.
SIITA
ltO3
2X9~
1
C dt
Illa
OCto
L
8 c
e
eu10
st22
L1=
ea
Le
i
Ad.
Ceometriou.
423
in semidiameerum AP; quia habetur sub.
duplum, nimirum criangulum VPO, du-
cta OV in subduplam A P; igitur habe.
cur tocum quadracum ducta cadem 
Vineoram AP; Sed habetur criongulum
ducta IFL, quae est sublesgnicerria diame-
eri EHI, in IK, quae est mInOE AP; triINOU-
lumisicur est minima tigurarum pollibi-
lium.
1h.
Dare fgurum, phaera inscripeam, aliam
rum regularium inCcripearum minimam
haec estcetraedrum quiaminus est octre-
droire patet ex Synops e Fuclide; dt
veromaior est luperticies octaedri luper-
hciecetraedri, cum sic illius Celquialeera;
perpendicularis aucem cadens a centio
sphara in balim oet aedei cs ImaIOF PEF-
pendiculari cadente ex cenero ciuldem
spharae in superticiem basis cetracdei, ve
perspicuum est; cum basis octaedri (IE
minorbali cetraedei; ergo minorem lecae
portionem (phxrx; cum demum habea-
cur corpus ducta superticie in- dica
perpendicularis, inde lequitur, Petrae-
drum minus esle octaedro; ac proinde
b
ret