# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0020
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0020?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 4, page id 845634801:0020
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=20
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000020.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.89
# 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.

CN SL L F E M A B
ve. Secundo ex Ouadrato in Planum. Tertio ex lace e in Solidum.
gradu sint potestarum adfectarum genera, si cogno ere placuerit, sumitor numerus vnitate minor
quam fic in progressione ab unitate dupla, terminus eju (dem ordinis atque potestas proposica. VF ( Iu-
beac scire, quoc sinc potestates adfecta in gradu ouadrato-quadrati, hoc est, quareo, sumendus est
quartus proeressionis duplae terminus. Scilicet 8. a quo demptaunitate remanet 7. Fot itaque (unt in
gradu quario Pocestates adfectae, quas modo enumeravimus. E. adem ratione invenierur in oradu Ouadra-
to. cubi, hoc est, quinto, esse quindecim Potestatum adfectarum genera.
10 Magnicudinesadcicitia, o sutois e st au patbdico tr porectati quid
hothogencum ad cam adficiendum, dicuntot Sub- oraduales.
Subgraduales sunc, Tonsitudo, latirudove, Planum, Solidum, Plano- planum. VF si fuerit Oua-
dracoquadratum cui immisceatur plano- planum ex latere in Solidum; erit solidum, suberadualis
maenitudo; lacus vero, eradus ad Ouadraco-qadrarum parodicus. Vel si fuerit Ouadrato- quadra-
eum una cum duplici Plano plano, uno ex quadrato in Planum, altero ex latere in Solidum. Frunt Pla-
num ac Solidum suberaduales magnitudines: quadratum verd ex latus, eradus ad Quadrato quadra-
tum parodici.
LLYZF.
7. Ouadrato- quadraum, cum eriplici elano. plano. Primo ex Cubo in longitudinem, lacieudinem-
Eodem ordine invenientur Pocestates adfectae in reliquis scala gradibus. Ouot autem in vnoquoque
Y E 1
Sc Pracepiho LbEstlced eliosa.
Ooisticenumerola CA guX Per HeloS, Speciola qux per species se
Locisticen Numero sam tractavit Dpanu ereudm admmeluorum libris, quorum (ex priores
tantum extant, nunc quidem Graece es Larine, es erudirisimis viri clarisimi Claudii Bacheri com-
mentariis illustrati: Locisticen vero Speciosam Pieca, quinque Zereticorum libris, quos porissimum e se-
lectis Diophanci quaestionibus quas Guassuo que pecultari sibi methodo explicat, concinnarit. Ouare si u-
eriu (que Locistices discrimen cum fructu dienoscere cupias, tibi simul Diophantus es Vieta consulendi, ex
huius Leterisa cum illius quaestionibus arichmericis dispicienda, quo in opere ut re labore sublerem, ex
Diophansi quaestionibus concepea Zesetiea breviter annocabo.
Lrerum Formas extibetur, uE Pore per Alphaberica elementa.
DEOP H A N T Y S 3 V EE Z A.
2 Ouast. Y.
1. ZCLCLIL. 1.
Logistices speciolx canonica prxcepau au et OlX.