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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 38, page id 1045080551:0095
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1045080551&page=95
# Source image: https://digitale-sammlungen.gwlb.de/content/1045080551/jpgs/default/00000095.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
# Lines: 23 recognised, mean confidence 0.91
# 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.

MI A G N A LTBER I.
diamerer cA circuli LN MI, quare
lemicirculus cA O RMI, ec triangu-
lus ORMI rectangulus cA Cx 3I prO-
Polt. tertii, acque adeo triangulus
DRC rectus quoque clt, cumque
perpendicularis sir linea D R ad balin
C, et dimidat angulum rectum R,
erit linea DR media proportiona-
lis inter OD _ DC, led linca CN
aequalis cAt linex DR redemonstra
uimus, media igitur proportionalis
CA linca C N INtCF Q D eEDC, cum
intermedia su proportionalis linca
DR ex rluima propoluione secundi
elementorum Fuclidis, tricelima lex
caTerti, Octaua atque decimaterta lex
, demonstrara a nobis est etiam linca
DD aequalis lineae L A, quamobrem
ex septima propolutione quinEL la pIuIS
citata linea CN dicetur media pro
portionalis inter L. A_ DC, CrIt igITuE
caratio DC ad C N quae CN ad L. A.