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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 222, page id 845634801:0228
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=228
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 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.
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# After the first blank line: the recognised lines in reading order, one per line.

Plano. plana 
Summa plano. plastotu
liorum.
Y X
Alatere secundo in quadrupium cubum
laceris primi
quautato latetis sebuito s sbdt
plum quauralum primi.
A cubo lateris secundi in quadrupIum
lacus primum.
Ouadrato-quadracum lateris secunato
latere secundo in solidum exple-
tionis.
Aquadrato lateris secundi in planutio
a baod lateris secundi in coefficienter
loneicudinetis.
Plano. plana abt
Summa plano. planorum abla
ciciorum.
Eacessus ablariciorum, aequalis
residuo resolvendo arulso qua
drato quadrato.
Yague (65C = 1 O O, aquetuTF, 48Y, 544. fit XX 38 lacus unum, e duobus de quibus aequalita
potest explicari, ipsum que minus, uc indicas limitum praefinitio. Hujus cubus est 54, 872, ad quem dun
adplicatur plano. planum 1, 481, 5 44, oricur lacitudo 27, quantam etiam relinquie loneicudo 28, abla
Ia e65. Intelliguntor quatuor continue proportionales, ex quarum prima, secunda, ex terria compona
Tur 38, quarea vero sit 27. Vnde summa omnium 65, quanta est coefficiens. Latus ixirur alierun
componetur ex quarta, secunda, e terria. Terria esto LN. PBitur LC. + 27 Q. = 729N, aequabitut
273 702 solido facto a 3 8 data in 729 quadrarum quarca. Itaque terria erit 18, secunda 12. Aqul
adeo latus majus 57.
Paradisma secundum analyseos quadrato quadral a is a plibi
plano sub cubo, ad in veniendum radicem majorem.
P Eductio laceris lingularis primi.
Coefsiciens lonsieudo
Plano. planum multarum resol-
vendo quadrato- quadrato.
Plano. planum restituens.
Plano. planum resticutum.
Plano. planum principale minuen.
dum.
Excessus plano. plani principalis, reli
quumve resolvendi arulsi quadrato-
quadrari.
8 12
expletonis.
subcubica
dd
Ouadraco. quadrarum laceris primi
a coessicience congicudine in cubum lavertu
primi.
T Edu.
inisore
pie
inisor
Mi
it
p
solv
Madra
nar
Iue
u