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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 28, page id 845634801:0044
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=44
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.91
# 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.

A D L OCTS YT CF N SPF C
dcaro. cubo adgregari larerum adfecto adjunctione plano. Tolidi sub coesticiente plano-
plano, ex adoregato larerum.
PROPOSTTZO XZXII.
DEladrato. cubum adfectum adjunctione plano- Colidi sub cubo a radi.
Lce binomia, adscito congruenter lubcubico coeftciente plano, com-
POHCrC.
Sic radix binomia A F B, coëfticiens subcubicum D planum. OpOrrear quadcato-
cubum abs A. F BadFectum adjunctione plano. solidi sub A. = B cubo, d D plano, com-
Ponere. Sumatur quadcarum abs A f. B, d in illud superaddico D plano, ducatur cu.
busabs A. F B, e colliganeur effecta singularia plano. Colida. Frunc illa
A quadcato- cubus, -=F A quadrato. quadraco in B5, u+ A cubo in B quadearum 10,
=L A quadraco in B cubum 10, F A in B quadraro. quadratum s, F B quadcaro. cub0.
+ A cuboinD planum, + A quadraco in B cer in D planam, L A in B gnadrALUM CeF ID
Dplanum, -1. B cubo in D planum. Itinc ordinatur
E A B OR E M A.
Si Faerint duo lacera e ccefticiens planum: quadraro- cubus laceris primi, plus qua-
drato. quadraro laceris primi in larus secundum quineuplum, plus cubo laceris primi in
laceris lecundi quadrarum decuplum, plus quadrato laceris primi in lareris se cundi cu-
bumdecuplum, plus lacere primo in laceris le cundi quadearo quadeacum quincuxlum,
plus quadraro. cubo lareris secundi, plus cubo laceris primi in coetticiens planum, plus
Colido (ub quadraco lateris primi, e lacere se cundo criplo in coefticiens planum, plus (0.
lido (ub lacere primo, et laceris secundi quadraro criplo in coëfticiens planum, plus cubo
laceris secundi in coetticiens planum, aequalis est quadraro. cubo adgregati lacerum ad
Fecto adjunctione plano. Colidi sut coetticience plano ec cubo adoregati laterum.
P R O P OS F = F O ZXXTII.
Vb0. cubum adfectum adjunctione Colido-solidilib latere, a binomia
sradice adscito congruenter lublaterali coefficiente plano. Colido, com
Ponere.
Sicradixbinomia A- L B, Coestciens sublarerale D plano Colidum. Oporreareubo.
cubum abs A. + B adFectum adjunctione Colido- solidi ex A = B in D plano. Colidum,
componere. FHingneur quadraco. cubus abs A. F B, _x in illum D plano. solido auctum,
ducatur A = B, ec colligantur singularia effecta Colido. solida. Fruntilla
A cubo cubus, F A quadraro. cubo in B6, L A quadrato quadcato in B quacca
cuM 15. j- A cubo in Bcubum 20, F A quadraro in B quadcacO- quAdTAEUM 15, F A in
Bquadraco. cubum 6, = B cubo. cub0, + A in D plano Colidum, F B in D plano- soli
dum. Ouxproprerea aequabuntur A F B cubo. cubo, plus solido- (olido ex A- L B in D
plano. Colidum. Llinc
risprimi, plus quadraco cubo laceris primi in lacus secundum sexruplum, plus quadraco.
quadraco laceris primi in laceris se cundi quadearum decuq rineuplum, plus cubo laceris
primi in laceris secundi cubum vigccuplum, plus quadearo laceris primi in laceris secundt
quadcaro- quadrarum de cuquincuplum, plus larere primo in lateris secundi quadeato-cu
bum sexcuplum, plus cabo cubo loceris secundi, plus lacere primo in coëfticiens plano
Tolidum, plus lacere secundo in coëfficiens plano. Colidum, est aequalis cubo-eu bo adgre.
saci lacerum adtecto adjunctione solido solidi sub coefficienre plano Colido et 2dBrC 82
Colacerum.
E C C a C u a
Si Tuerine duo larera, una cum coefficience sublaterali plano. Solido, cubo cybuslare.