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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 425, page id 797939695:0445
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=445
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000445.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.73
# 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.

∞
Ca
ce
Uo
L
il
e
2-
a
5
e
i
Ceometricum.
425
tur quadratum lateris retracdei sphaera
circumleripri est ad quadratum laceris
octaedri ve 24. 2d 6. vel, re 6. ad r. Sed Fa-
cies lune re quadrata laterum, CHIM fINE
criangula similia; igitur octotacies, id elt,
cota luperticies oetaedri crune ad qua-
iuor facies, id est ad tocam luperticiem
tecraedri ve B.dd 24. id elt, F vE Z. ad 1.
led corpora eidem sphaera circum lerip-
ilune ve superticies; Igieur FetEaC
drum est eriplum octaedri; isitur
MaiUIS.
18.
Ouadratum est omnium rectangulo
rum iloperimetrorum maximum. Sic
quadratum TS; descripeo semicirculo
cenro T, radio FS; cum rectangulum A Figura
l sic aequale quadrato TS, & C I, SIF8.
aequalis CD; A C 2, est aequalis
D; isitur bis A D toti periICETO
Arectanguli AI; bis aurem T C S, peri-
metro quadrari T5, Ced TCS es MmInOE
AD; igicur perimerrum quadrati est
semper minus perimerro aequalis rectan-
sulii ergo quodlibet quadratum rectan.
suloiloperimeErOmaiuS.
19
Ltiansulum HOceleS. OrthOSOMLUI
ilopex