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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 17, page id 845634801:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=33
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 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.
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# After the first blank line: the recognised lines in reading order, one per line.

L4OL A. L a 10L l. d
dratum, Facircubum: ducatur A. F B I quaclratum jamm ExPOSITIM ex A F B, ee col.
Acubus, + A quadrato in BFeF, F AMB quadratum cer, L B cubo. Oux ideo Xqua-
= A in B cubum quater, F B quadcaro acao. Dux ideo aequabuntur quadraro.
A quadeato cubus, = A quadrato quaetato in B5, = A cubo in B quadracum 10,
derirancur de uniformi mechodo concipiuncur ad univertam Logisticen ralentia, e
qua etiam ad Z erericen in prompru lune, theoremata.
E E O R E M A
Geneleos quadrati.
cussecundi, plus quadrato laceris secundi, aequatur quadraro adsregari laterum.
Siclatus unum A, alterum B. DicO A GudaTarum, F A in Bbis, F B quadcato, aquari A
E E OR E M A
sencleos cubi.
cus secundum criplum, plus Colido à latere primo in laceris secundi quadratumeri
Sic laCUISAnUM A, alcerum B Dico A cubum, f A quadraco in B FeF, + A in B qua-
liganeur singularia effecta Solica. Frune illa
buntur cubo ex A + B.
A + B, ee colligantur eff.cta lingularia plano plana. Frunt illa
Fercio componendum sE quadraco. quadcacum. Ouoniam latus dum duciriir in lui
cubum, Facie quadraro- quadeatum: ducatur A. F B in cubum jam expolicum abs
Guadrato ex A + B,
Oux quidem aequabuntur quadrato CuDO ex A + B.
A. L B, e colligantur effecta linontatia Colido. Colida. Frunr illa
A quadrato quadratum, L A cubo in B quater, + A quadr. in B quadearum sexies.
Ouarto componendus siE quadraco. cubus. Ouoniam latus dum ducicur in lui qua-
deato quadratum, Facie guadraco. cubum: ducatur A L B in quadearo-quadratum
Jam expolitum abs A. Y. B, d colligantur effecta Cinsularia plano-Colida. Frunc illa
 A quadraro in B cubum 10, + A in B quadrato quadearum 5, F B quadraco. cubo.
Ouinco componendus sic cubo. cubus. Ononiam lacus dum ducitur in sui quadraco-
cubum, Facir cubo cubum: ducatur A + B in quadraro cubum jam expositum abs
A cubo. cubus, t. A quadraro cubo in B6, F A quadrato quadraco in B quadratum
15, =F A cubo in B cubum 2O, Y A quadrato in B quadraTO quadTATM 15, = A in B
quadraro cubum 6, + B cubo cubo. Dux ideo equabuntur cubo. cubo ex A. F B.
NE C dissimilis erie ulceriorum quarumcumque pocestarum synthess. A quibus ideo
Clfuerine duo lacera: quadrarum laceris primi, plus plano à duplo lacere primo in la-
= B quadcaco. Ex opere mulciplicacionis A L B per A + B.
plum, plus cubo laceris secundi, aquatur cubo adgregari laterum.
+ A in B2, = B quadratO, Pet A- F B
CIFuerinc duo lacera: cubus laceri primi, plus Colido à quadearo lareris primi in la-
dearum cer, + B cubo. aequari A. F B CuDo. Fx opere mulciplicationis A quadrari
E E O L L M A
geneleos quadrato quadrati.
CI Fuerinc duo latera: quadraro quadrarum lareris primi, plus cubo lateris primi in
lacus secundum quadruplum, plus quadrato laceris primi in laceris secundi qua-
. A in B quadearum 3, F B cubo, Pet X F B.
Sit lacus unum A, alcerum B. DICO A quaa. - quadEaEUII, F A cubO ID quater,
aquari A. = B quad quadraco. F.X op et C Mulciplicationis A cubi, Y A quadrato in B 3,
dratum sexruplum, plus latere primomtaler secundi cubum quadruplum, plus qua-
deaco. quadraro laceris secundi, xequatur quadrato quacrato adgresati laterum.
A quadraro in B quadrarum sexies, + A in B cubum quacer, + B quad. quadrato,
THEO