# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1045080551:0052
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# Title: [Gulielmi Gosselini Cadomensis Bellocassii De Arte magna, seu de occulta parte numerorum, quae & Algebra, & Almucabala vulgo dicitur, Libri Quatuor. In quibus explicantur aequationes Diophanti, Regulae Quantitatis simplicis, [et] Quantitatis surdae] Gvlielmi|| Gosselini Cadomen-||sis Bellocassii De Arte|| magna, seu de occulta parte nume-||rorum, quæ & Algebra, & Almuca-||bala vulgo dicitur,|| Libri Qvatvor.|| In quibus explicantur æquationes Diophanti, Regu-||læ Quantitatis simplicis, [et] Quantitatis surdæ.|| (shelfmark Nm-A 317)
# Folio [16v], page id 1045080551:0052
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1045080551&page=52
# Source image: https://digitale-sammlungen.gwlb.de/content/1045080551/jpgs/default/00000052.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.88
# 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.

CVL. COS. DE A RPF
nales numerosinter 2 ec 16, Tumemus
Cubu 2hoc cAtB, tu vero Cubu rohoc
ClE 4096. Frunt igitur duo medii pro-
c
portionales numeri inter 8e 4096, in
ea ratione qua cA 2 ad 16, CX (2 PFODO-
Cc. Octaui Fuclidis, cu vero eadem CIE
ratio 2ad 16, qua cst8 ad numerum a-
liquem, quartum illum proportiona
lemnumerum cliciemus exregula au
rea, Ccilicet mulciplicabimus 16 peF8,
fenE 128, Que Partiemur in 2, Guotusc-
rIE64, C taNTUS erit alter nUmexOrUM
proportionalium, sic vero alter velti-
sabitur, quia rurlus cadem est ratio 2
ad 16, que 64 2d sccundum Cx propOr-
tionalibus qualiis, datis tribus Du-
meris quartum cliciemus, ilque crie
5I2, Etantus erit secundus, crurguehi
quatuor numeri continue proportio
nales, nempC, 8, 64,512,4096, et quonia
inter Cubum 2,e Cubu 16, duos pro-
portionales invenimus, nimirum 64
e