# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0181
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0181?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 175, page id 845634801:0181
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=181
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000181.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.86
# 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.

rero.
eP aN
Edato
V, 1d
mane
a15 BE
n8i
ne
sede
erio
eiqu
cocl
es que
Iel
IF
Divisorum pars pCoesficiens
superior
longitudo
Reliquum resolvendi quadrat
adfecti
Divisorum pars sDuplum
inferior
lateris P
Summa divisorum
Piana ab
Summa planorum auserenda
reliquum resolvendi adfecti qua
dravi
Jam duo elicira latera FIIZ
TTT. Eductio laceris singutaris certii tanquam secundi.
Dirisorum pars s. Coefficiens
superior lonciendo
Religuum resolvendi adfecti
quadrati
Divisorum pars s Duplum laté-
inferior Lriseliciti
Summa divisorum
Plana ablacicia
summa planorum auferenda,
aequalis reliquo resolvendi qua-
drati adfecti
lcaque si x D. L7 N, aequetur 60, 750. sis LN 243. ExrerroErada, quae omnino observara cer-
nitur, composicionis via.
Incerdum accidir co elticiencem magnimudinem in anteriora produci ulera ipsum ad-
sectum quadiarum, auc eo lalcem loci, ut ab eo auterri non polsic. Ouod arsumentum
ell nontam ad Eci quadearumi quam adficere, quoniam minus sic adfcience plano.
Coefticiens iraque ad succedentes ledes ordine rerocanda est, donec hclocus divisio-
ni. a qua runc opusinchoare magis consentancum elt.
Ex quoc heuris rerrocedet coetticiens. iot delebuneur quoque subrus quadratorum
hoca e puncta; a quibus alioqui ducendum fuerac operis inicium. Ve in Ouxstione.
Duidam numerus ductus in (e, d in 954, Facic 18, 487. In noris 95 + N. F 19, Xqua-
tur 18, 487. Onaeritur quis sic numerus ille.
18, 487 est quadratum adjunctum plano lub lacere _c coëfticiente 954. Majus auremi
Eplanum quactaco, ut indicat lcus coelticientis eo loci, ur cum ipla Ar e divitoribus a
divi-
POZES Z A FVH R ESOLY FIONC.
IP Eductolaceris singularis lCClnc
A labere secundo in duplum primo
A lacero secundo in coefficienten.
Ouadrarum lateris secundi.
ux rice unius seu primi, et sic
adralum altis sbat
alatere secundo in duplum primi-
D
eere secundo in coefficientem.