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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 96, page id 845634801:0112
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=112
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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 0.88
# 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.

DE RECOCN FFFOHF
T H E O R EM A TTI.
CT A GllaI. aquetur Z planO. B = A vel A F BCAO F. B in F 2 -F quacr
aequabitur B quad. = L PlanO.
Ononiam enim A quad. proponitur aquale Z plano, est autem B = A radiciE aqua
lis: igitur B = P. aequabieur A. itaque quadrarum absB - F aequabirur Z. plano: quadra
cum aurem illud constae B quad. = Bin F. 2 + P. quad. quare omnibus bene ordinatts
B in E 2 = F. quad. aequabitur B quad. - Z. plano. ur est enunciatum.
EFHI A = BEGUETUT E, igitIT F =B aquatur A. itaque quadcacum abs F, =B aqua
tirur Z. plano: quadrarum illud constat F. quad. = B in F. 2 F B quad. quare omnibla
bene ordinaris, B in F. 2 = F. quad. xequabitur B quad. - Z plavO. Wr est quoque enun
ciatum.
C A PY F X.
Deductiva adfectorum aliquoe cuborum sub quadrato, à cubis
adfectis sub latere.
T H E O R E M a I.
ET A cubus = B quad. Ter in A xquetur Z Colido. A = B eAtOF. E cubus
B in F Guacl. 3, d Guabitur Z Colido + B cubo2.
Ouoniam enim A cubus = B quad. 3 in A, equacur Z Colido: est aurem A - B adiB
Exqualis, iBieurE. = B aequabituE A. Ouare cubus ab E = B mulracus Colido absB quo
3INE + B, aguabitur Z Colido. Cubus aurem abs EF B COnAE, E cubo j B in F qua
3. = B quad. in F 3 L B cabo. Solidum ero affectionis,  B quad. in F 3 - B cub03 O1
re omnibus benc ordinatis, E. cubus F B in P. quad. 3, ae quabirur Z. Colido- F. B cub02.
elt emteiacum.
A L ET E R
H E O R E M a
CTA cubus = B quad. Ter in A aequetur Z. Colido. A F B csto F. F cubu
=B in F quad. 3, xegcabicur Z. Colido - B cub02.
Ouomamenim A cubus = B quad. 3 in A, aquatur Z Colido: est aureM A ] B radiB
E aequalis, IBITUT E. =B aequabitur A. Ouare cubus abs F = B muleatus lolido abs B qua
3InE=B, aequabicur Z. Colido. Cubus aurem abs E - B ConHtaE, F. cubo = B in E quad. 3
B quad. in F. 3 = B cubo. Solidum vero affectionis, = B quad in E Z + B cub O3. Oua
omnibus bene ordinatis, F. cubus -B in F. quad. 3. xquabirur Z. Colido =B cubO 2. UCC.
cnunciatum.
THE OR EMA II.
ETB quad terin A = A cubo aequetur Z Colido. B = A Csto F. B in L
Dguad 3 = P cubo, aequabitur B Cub02 =Z Colido.
Ouoniam enim B quad. 3. in A = A cubo, aequatur Z Colido: est aurem B = A cal
Eaequalis, igicur B = F aequabitur A: quare Colidum abs B quad. 3 in B - F, minus cubc
B- Eaequabicur Z. Colido. Solidum aurem illud affectum constac, B cubo z = B quad.
E.3. Cubus vero negatus de solidoillo, = Bcubo = B quad. in F3 - F quad in B3
E cubo. Ouare omnibusbene ordinaris, B in P. quad. 3 - P. cubo, aequabitur B cubo
Z Colido. ur est enunciatum.
L. I X F
PH R O R E M A 
+B quad. ter in A = A cubo aeque L . D +. A esto F. B in
quad. 3= L cu ascabitur Bcub02 + Z Colido.
Ouc