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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 71, page id 845634801:0087
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=87
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
# Lines: 23 recognised, mean confidence 0.84
# 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.

L TB E R O V A R ZY5
qua
isbales sune differentia quadratorum, perpendicula sune Cimi-
lia dux losub iis rectangulo. Constabuncisirur hrporenua adGFeGAEO COTMIHGCM qU-
deacorum, ex regulari criangulorum effectione. Vude hyporenula primi simts  a.
FB9. Sccundi A9. Y D9. Terrii B, , D9. + A9. leaque problemati LacisHI.
Sit B3, D5. fit A7. Et trianeula se babent in numeris, ut hic
er
ete
S0
Terrium essictum.
87
Horumerium communis area 840.
Z E Z E F ZCV N XII.
Mrehire numero eria criangula rectangula, uc solidum sub perpendicu-
lis ad folidum sub balibus, le habeat uc quadracus numerus ad quadeatum
HUMCEUIM.
D2 adligem vat. Ld demque eriangulum cerrium ab Z. ec B, de Z in B2
adtignetur balI.
Exponatur numero rectangulum quodcum que criangulum, cujus hyporenula decur Z.
basis D perpendiculum B. Ec estingatur criangulum secundum abs Z dc D, ec Z in
2
D4. Z 9u2