# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 100, page id 845634801:0116
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=116
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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 0.87
# 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.

DE RECOCNETTONE
A L F ZP R.
B cubus in F Colidum - F Colidi quadrato, aequabitur P quad. quad. i
Z. planum.
Necdistimilis est ab ea qux in quarro hujus capiris THCOTEMAtE expOSITa eA demoi
Arario.
E H E OR E M A VII.
2F A cubus =t B in A quad. Xquetur Z Colido. B in A esto F qua
E cubo. cubuS. + B quad. in F quad. quad, x quabitur B cubo in L. 10
lidum.
Ouoniam enim A cabus.- F B in A quad. aequacur Z. Colido: est aurem B in A 2
quale P. quadrato, igirur =mud. RquabituT A. quare ex iis qud PFOPONLINEUE..
 Pouno. quad. xquabitur Z. Colido. Omnia in B cubum duCanEUT.
ErgOF cubo. cubus, + B quad. in F quad. quad. xquabitur B cubo in Z Colidut
vrestenunciarum. Ouum aurem ipsum E quadeacum Aaruetur radix plana, haec eta
enunciario. F. plani. cubus. F B quad. in P. plani quad. aequatur B cubo in Z. Colidum.
E H EOR E M A YIII.
CF A cubus. = B in A quad. aequetur Z. Colido. B in A esto F quadia
cum, planumre. P cubo- cubus = B quad. in F. quad. quac, x quabie
B cubo in Z. Colidum.
AL Z Y E R.
E plani cubus = B quad. in P plani quadracum, equrabirur B cuboin
Colidum.
Nec distimilis est ab ea qua in ancecedente TheOremate exposica est demons
T H EOR P M A IX.
SFB in A quad. = A cubo, equetur Z Solido. B in A estO F quadratM
planumve. B quad. in P. quad. quad. = P cubo- cubo, aeguabitur B c
b0 in Z. Colidu.
A E F ZE R.
B quad. in E plani quad. - F. plani cubo, aequabitur B cubo in Z. Colidur
Nec distimilis est ab ea quae in sexrimo hujus capiris Theoremace expolica ell.
C A P V F ZTTI.
monstrario.
Deductiva adfectorum quadrato-quadratorum ab ad
fectis quadratis.
De quadrato. quadratis affectis sub latere.
E E E O R E M A I.
iF A guad. = + B iI A a GACTUEZ. planO: A qua d. quad. - X B cubo - v B in 2 F
in A, aequabitu Z. plano. plano - t. B quad. in Z plancm.
Ouoniam enim A quad. F BIH A, XquatuE Z. plano: igieur per ancich
quad. aequabicur Z plano = b ut A. ergo A quad. quac. atabitur Z. plate
La
10C
1
B in A in Z. planum 2 + B quac. Ih A quad. Ac attectio B quadratiin si
rum, incerprecarionem ex propolica aequatione accipiens, valet B quad. in L. t
=B cubo in A. Ouare ea incerpreratione adscica, et omnibus bene ordinacis, 
plio