# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 84, page id 845634801:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=100
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.90
# 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.

ER A N C ISCL VIET A
RE COGNITIONE FOVS
TIO
TR A C T A TVS E R IN V S.
 A P Y X
De dienoscenda aequarionum consticurione ex Z etesi,
Plasmate, e Synerist.
EEneralem e generaliter eraditam de numerola poresta
cumrelolutione doctrinam, informat d perticie tractatus
derecognitione aequationum: prxeparatione enim indi
gentaequationes (ape-numero, anrequam Faeliciter ex
plicentur: ac peaesertim quum porestares de homogeneis
magnicudinibus negantur; vel ita muxtim homogener
masnicudines de porcstatibuS HESANEuE DE AFIEMAMEME, u
aFectIOnCSMCSAEX adErmatiS prX POIleanE; ac denique quoEquOE Re quatio
nestractis numeris relalimmeeris extribentur.
In Geometricis quidem, accidens Fractionis vel alymmerriae non (olet
aquationibus officere, quominus ajunxarcos explicentur; licuri neque n
tiumnegationis: est enim certum semper subjectum, sub quo operetur
Geometra: ac obest nonbda, e quo elatior est porectas, affectionisque
Sradus, eo major se prodir in explicando Problemate à́poyors n à Ncgta.
Eequid vero xquationis, quxe propolita est, agnita constitutionenou
renta bit Analy sta, quO CaXA _E LCOpUIOS rCFUISIAE: NUIM BMatUS Anatomice
invertet, deprimet, actollet, et undique opcrabitur (CCUTC: nOva, quul
respostularerie, uscepta Z ereli sub alio, quam qui proponebatur, terminor
ad propolicum camen habente dacam differentiam relrationem.
Ominino xquationum oriso, e prima consticurio scitu digna est, nulla
que non solertia ab Analy sa capescenda e adsequenda, quo sibipaceat 2
cam reductionis via.
A. qualicatum constitutio poristimum deprehenditur Z etCK, Plasinates
e Syncrili.
E A P V F
De Z etest.
ris, aftecta ex aftectis proticilei dicter ratio: e ideo ad deprehett
dendum aquarionum ad porestares puras perrinentium condicionem, ise
datis duobuslaceribus porestares inquiret.
Adaequariones adtectarum simpliciter porestatum, inrestigabit ex daca
difte
PEcclm non insticueremee   LCLaVy LCA, GuI P  C pI